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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | __FORCETOC__ |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | ----- |
| : This revision was by author [[User:spt3125|spt3125]] and made on <tt>2017-07-30 15:36:37 UTC</tt>.<br>
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| : The original revision id was <tt>616005039</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
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| [[media type="custom" key="11052942"]]
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| ---- | |
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| =Definitions= | | =Definitions= |
| By a //chromatic pair// is meant a pair of [[xenharmonic/MOSScales|MOS]] in some rank two temperament (which may often be a [[xenharmonic/Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing [[Tp tuning#T2%20tuning|RMS error]], which is an appropriate error measure for subgroups as well as full p-limit groups. | | By a ''chromatic pair'' is meant a pair of [[MOSScales|MOS]] in some rank two temperament (which may often be a [[Just_intonation_subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing [[Tp_tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full p-limit groups. |
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| =Terrain= | | =Terrain= |
| Subgroup: 2.9/5.9/7 | | Subgroup: 2.9/5.9/7 |
| | |
| Commas: 250047/250000 | | Commas: 250047/250000 |
| | |
| Sval name: 6&21 | | Sval name: 6&21 |
| Related temperament: [[xenharmonic/Minortonic family#Domain|domain]]
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| [[Tp tuning|POT2 generator]]: ~10/9 = 182.461 | | Related temperament: [[Minortonic_family#Domain|domain]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~10/9 = 182.461 |
| | |
| | [[Gencom|Gencom]]: [63/50 10/9; 250047/250000] |
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| [[Gencom]]: [63/50 10/9; 250047/250000]
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| Gencom map: [<3 10/9 -7/9 2/9|, <0 -2/3 -1/3 2/3|] | | Gencom map: [<3 10/9 -7/9 2/9|, <0 -2/3 -1/3 2/3|] |
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| Map: [<3 0 -4|, <0 1 2|] | | Map: [<3 0 -4|, <0 1 2|] |
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| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558 | | EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.00844 cents | | |
| | [[Tp_tuning#T2 tuning|RMS error]]: 0.00844 cents |
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| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic. | | Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic. |
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| [[image:terrain_3558edo.png]] | | [[File:terrain_3558edo.png|alt=terrain_3558edo.png|terrain_3558edo.png]] |
| | |
| | [[terrain9|Nine note albitonic scale]] |
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| [[xenharmonic/terrain9|Nine note albitonic scale]] | | [[terrain15|Fifteen note chromatic scale]] |
| [[xenharmonic/terrain15|Fifteen note chromatic scale]]
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| [[http://chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/|5 5 1 mode of 33 equal (with video)]] [[http://micro.soonlabel.com/33edo/20130827_551of33.mp3|play]] by [[Chris Vaisvil]]
| | [http://chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ 5 5 1 mode of 33 equal (with video)] [http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play] by [[Chris_Vaisvil|Chris Vaisvil]] |
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| =Petrtri= | | =Petrtri= |
| Subgroup: 2.11/5.13/5 | | Subgroup: 2.11/5.13/5 |
| | |
| Comma: 2200/2197 | | Comma: 2200/2197 |
| | |
| Svalname: 3&5 | | Svalname: 3&5 |
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| [[Tp tuning|POT2 generator]]: ~13/10 = 455.012 | | [[Tp_tuning|POT2 generator]]: ~13/10 = 455.012 |
| | |
| | [[Gencom|Gencom]]: [2 13/10; 2200/2197] |
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| [[Gencom]]: [2 13/10; 2200/2197]
| |
| Gencom map: [<1 0 -1/3 0 -1/3 2/3|, <0 0 -4/3 0 5/3 -1/3|] | | Gencom map: [<1 0 -1/3 0 -1/3 2/3|, <0 0 -4/3 0 5/3 -1/3|] |
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| Map: [<1 0 1|, <0 3 1|] | | Map: [<1 0 1|, <0 3 1|] |
| | |
| EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c | | EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.0749 cents
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| [[image:petrtri_385edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.0749 cents |
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| [[xenharmonic/petrtri5|Five note haplotonic scale]] | | [[File:petrtri_385edo.png|alt=petrtri_385edo.png|petrtri_385edo.png]] |
| [[xenharmonic/petrtri8|Eight note albitonic scale]]
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| [[xenharmonic/petrtri13|Thirteen note chromatic scale]]
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| =Barton= | | [[petrtri5|Five note haplotonic scale]] |
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| | [[petrtri8|Eight note albitonic scale]] |
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| | [[petrtri13|Thirteen note chromatic scale]] |
| | |
| | =Barton= |
| Subgroup: 2.5.11.13 | | Subgroup: 2.5.11.13 |
| | |
| Commas: 2200/2197, 6656/6655 | | Commas: 2200/2197, 6656/6655 |
| | |
| Svalname: 11&13 | | Svalname: 11&13 |
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| [[Tp tuning|POT2 generator]]: ~11/8 = 551.699 | | [[Tp_tuning|POT2 generator]]: ~11/8 = 551.699 |
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| Gencom: [2 11/8; 2200/2197 6656/6655] | | Gencom: [2 11/8; 2200/2197 6656/6655] |
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| Gencom map: [<1 0 6 0 3 6|, <0 0 -8 0 1 -5|] | | Gencom map: [<1 0 6 0 3 6|, <0 0 -8 0 1 -5|] |
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| Map: [<1 6 3 6|, <0 -8 1 -5|] | | Map: [<1 6 3 6|, <0 -8 1 -5|] |
| | |
| EDOs: 11, 13, 24, 37, 50, 87, 298, 385, 472, 559, 1590cd | | EDOs: 11, 13, 24, 37, 50, 87, 298, 385, 472, 559, 1590cd |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.0822 cents
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| [[xenharmonic/barton5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.0822 cents |
| [[xenharmonic/barton7|Seven note albitonic scale]]
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| [[xenharmonic/barton9|Nine note mega albitonic scale]]
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| [[xenharmonic/barton11|Eleven note chromatic scale]]
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| [[xenharmonic/barton13|Thirteen note mega chromatic scale]]
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| =Voltage= | | [[barton5|Five note haplotonic scale]] |
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| | [[barton7|Seven note albitonic scale]] |
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| | [[barton9|Nine note mega albitonic scale]] |
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| | [[barton11|Eleven note chromatic scale]] |
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| | [[barton13|Thirteen note mega chromatic scale]] |
| | |
| | =Voltage= |
| Subgroup: 2.7.13 | | Subgroup: 2.7.13 |
| | |
| Comma: 28672/28561 | | Comma: 28672/28561 |
| | |
| Sval name: 3&7 | | Sval name: 3&7 |
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| [[Tp tuning|POT2 generator]]: ~16/13 = 357.677 | | [[Tp_tuning|POT2 generator]]: ~16/13 = 357.677 |
| [[TOP tuning|POTT generator]]: ~16/13 = 1200 - 300 log₂(7) (357.794) | | |
| | [[TOP_tuning|POTT generator]]: ~16/13 = 1200 - 300 log₂(7) (357.794) |
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| Gencom: [2, 16/13; 28672/28561] | | Gencom: [2, 16/13; 28672/28561] |
| | |
| Gencom map: [<1 0 0 4 0 4|, <0 0 0 -4 0 -1|] | | Gencom map: [<1 0 0 4 0 4|, <0 0 0 -4 0 -1|] |
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| Map: [<1 4 4|, <0 -4 -1|] | | Map: [<1 4 4|, <0 -4 -1|] |
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| EDOS: 3, 7, 10, 27, 37, 47, 57, 104 | | EDOS: 3, 7, 10, 27, 37, 47, 57, 104 |
| | |
| RMS error: 0.1423 | | RMS error: 0.1423 |
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| =Tridec= | | =Tridec= |
| Subgroup: 2.7/5.11/5.13/5 | | Subgroup: 2.7/5.11/5.13/5 |
| | |
| Commas: 847/845, 1001/1000 | | Commas: 847/845, 1001/1000 |
| | |
| Sval name: 5&8 | | Sval name: 5&8 |
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| [[Tp tuning|POT2 generator]]: ~13/10 = 454.556 | | [[Tp_tuning|POT2 generator]]: ~13/10 = 454.556 |
| | |
| | [[Gencom|Gencom]]: [2 13/10; 847/845 1001/1000] |
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| [[Gencom]]: [2 13/10; 847/845 1001/1000]
| |
| Gencom map: [<1 0 -3/4 5/4 -3/4 1/4|, <0 0 0 -4 3 1|] | | Gencom map: [<1 0 -3/4 5/4 -3/4 1/4|, <0 0 0 -4 3 1|] |
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| Map: [<1 2 0 1|, <0 -4 3 1|] | | Map: [<1 2 0 1|, <0 -4 3 1|] |
| | |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc | | EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.1613 cents
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| [[image:tridec_235edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.1613 cents |
| | |
| | [[File:tridec_235edo.png|alt=tridec_235edo.png|tridec_235edo.png]] |
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| [[xenharmonic/Tridec8|Eight note albitonic scale]] | | [[Tridec8|Eight note albitonic scale]] |
| [[xenharmonic/Tridec13|Thirteen note chromatic scale]]
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| =Nestoria= | | [[Tridec13|Thirteen note chromatic scale]] |
| | |
| | =Nestoria= |
| Subgroup: 2.3.5.19 | | Subgroup: 2.3.5.19 |
| | |
| Commas: 361/360, 513/512 | | Commas: 361/360, 513/512 |
| | |
| Sval name: 12&29 | | Sval name: 12&29 |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
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| [[Tp tuning|POT2 generator]]: ~3/2 = 701.746 | | Related temperament: [[Schismatic_family|schismatic]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~3/2 = 701.746 |
| | |
| | [[Gencom|Gencom]]: [2 3/2; 361/360 513/512] |
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| [[Gencom]]: [2 3/2; 361/360 513/512]
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| Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 0 -3|] | | Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 0 -3|] |
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| Map: [<1 0 15 9|, <0 1 -8 -3|] | | Map: [<1 0 15 9|, <0 1 -8 -3|] |
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| EDOs: 7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d | | EDOs: 7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.1763 cents
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| [[image:nestoria_171edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.1763 cents |
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| [[xenharmonic/nestoria7|Seven note albitonic scale]] | | [[File:nestoria_171edo.png|alt=nestoria_171edo.png|nestoria_171edo.png]] |
| [[xenharmonic/nestoria12|Twelve note chromatic scale]]
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| [[xenharmonic/nestoria17|Seventeen note mega chromatic scale]]
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| =Orgone= | | [[nestoria7|Seven note albitonic scale]] |
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| | [[nestoria12|Twelve note chromatic scale]] |
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| | [[nestoria17|Seventeen note mega chromatic scale]] |
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| | =Orgone= |
| Subgroup: 2.7.11 | | Subgroup: 2.7.11 |
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| Commas: 65536/65219 | | Commas: 65536/65219 |
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| Svals: 4&7 | | Svals: 4&7 |
| Related temperament: [[Gamelismic clan#superkleismic|superkleismic]]
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| [[Tp tuning|POT2 generator]]: ~77/64 = 323.372
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| [[Gencom]]: [2 77/64; 65536/65219] | | Related temperament: [[Gamelismic_clan#superkleismic|superkleismic]] |
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| | [[Tp_tuning|POT2 generator]]: ~77/64 = 323.372 |
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| | [[Gencom|Gencom]]: [2 77/64; 65536/65219] |
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| Gencom map: [<1 0 0 2 4|, <0 0 0 3 -2|] | | Gencom map: [<1 0 0 2 4|, <0 0 0 3 -2|] |
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| Map: [<1 2 4|, <0 3 -2|] | | Map: [<1 2 4|, <0 3 -2|] |
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| EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc | | EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.1888 cents
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| [[image:orgone_308edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.1888 cents |
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| | [[File:orgone_308edo.jpg|alt=orgone_308edo.jpg|orgone_308edo.jpg]] |
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| | [[orgone7|Seven note albitonic scale]] |
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| | [[orgone11|Eleven note chromatic scale]] |
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| [[xenharmonic/orgone7|Seven note albitonic scale]] | | [[orgone15|Fifteen note mega chromatic scale]] |
| [[xenharmonic/orgone11|Eleven note chromatic scale]]
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| [[xenharmonic/orgone15|Fifteen note mega chromatic scale]]
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| =Marveltwintri= | | =Marveltwintri= |
| Subgroup: 2.5/3.13/9 | | Subgroup: 2.5/3.13/9 |
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| Comma: 325/324 | | Comma: 325/324 |
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| Svalname: 3&4 | | Svalname: 3&4 |
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| [[Tp tuning|POT2 generator]]: ~6/5 = 317.139 | | [[Tp_tuning|POT2 generator]]: ~6/5 = 317.139 |
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| | [[Gencom|Gencom]]: [2 6/5; 325/324] |
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| [[Gencom]]: [2 6/5; 325/324]
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| Gencom map: [<1 -1/6 5/6 0 0 -1/3|, <0 -1/2 -3/2 0 0 1|] | | Gencom map: [<1 -1/6 5/6 0 0 -1/3|, <0 -1/2 -3/2 0 0 1|] |
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| Map: [<1 0 2|, <0 1 -2|] | | Map: [<1 0 2|, <0 1 -2|] |
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| EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b | | EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.2444 cents
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| [[image:marveltwintri_321edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.2444 cents |
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| [[xenharmonic/marveltwintri7|Seven note albitonic scale]] | | [[File:marveltwintri_321edo.png|alt=marveltwintri_321edo.png|marveltwintri_321edo.png]] |
| [[xenharmonic/marveltwintri11|Eleven note chromatic scale]]
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| [[xenharmonic/marveltwintri15|Fifteen note mega chromatic scale]]
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| =Cata= | | [[marveltwintri7|Seven note albitonic scale]] |
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| | [[marveltwintri11|Eleven note chromatic scale]] |
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| | [[marveltwintri15|Fifteen note mega chromatic scale]] |
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| | =Cata= |
| Subgroup: 2.3.5.13 | | Subgroup: 2.3.5.13 |
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| Commas: 325/324, 625/624 | | Commas: 325/324, 625/624 |
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| Sval name: 15&19 | | Sval name: 15&19 |
| Related temperament: [[xenharmonic/Kleismic family|catakleismic]]
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| [[Tp tuning|POT2 generator]]: ~6/5 = 317.076 | | Related temperament: [[Kleismic_family|catakleismic]] |
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| | [[Tp_tuning|POT2 generator]]: ~6/5 = 317.076 |
| | |
| | [[Gencom|Gencom]]: [2 6/5; 325/324 625/624] |
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| [[Gencom]]: [2 6/5; 325/324 625/624]
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| Gencom map: [<1 0 1 0 0 0|, <0 6 5 0 0 14|] | | Gencom map: [<1 0 1 0 0 0|, <0 6 5 0 0 14|] |
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| Map: [<1 0 1 0|, <0 6 5 14|] | | Map: [<1 0 1 0|, <0 6 5 14|] |
| | |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd | | EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.2450 cents
| |
|
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|
| [[image:xenharmonic/cata_246edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.2450 cents |
| [[xenharmonic/cata7|Seven note albitonic scale]] | | |
| [[xenharmonic/cata11|Eleven note mega albitonic scale]] | | [[File:cata_246edo.jpg|alt=cata_246edo.jpg|cata_246edo.jpg]] |
| [[xenharmonic/cata15|Fifteen note chromatic scale]] | | |
| [[xenharmonic/cata19|Nineteen note mega chromatic scale]]
| | [[cata7|Seven note albitonic scale]] |
| | |
| | [[cata11|Eleven note mega albitonic scale]] |
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| | [[cata15|Fifteen note chromatic scale]] |
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| =Bridgetown= | | [[cata19|Nineteen note mega chromatic scale]] |
| | |
| | =Bridgetown= |
| Subgroup: 2.3.11/5.13/5 | | Subgroup: 2.3.11/5.13/5 |
| | |
| Commas: 352/351, 676/675 | | Commas: 352/351, 676/675 |
| | |
| Sval name: 5&24 | | Sval name: 5&24 |
| Related temperaments: [[Chromatic pairs#Haumea|haumea]], [[xenharmonic/The Archipelago|barbados]]
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|
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| [[Tp tuning|POT2 generator]]: ~15/13 = 248.399 | | Related temperaments: [[Chromatic_pairs#Haumea|haumea]], [[The_Archipelago|barbados]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~15/13 = 248.399 |
| | |
| | [[Gencom|Gencom]]: [2 15/13; 352/351 676/675] |
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| [[Gencom]]: [2 15/13; 352/351 676/675]
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| Gencom map: [<1 2 -5/3 0 4/3 1/3|, <0 -2 4 0 -5 1|] | | Gencom map: [<1 2 -5/3 0 4/3 1/3|, <0 -2 4 0 -5 1|] |
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|
| Map: [<1 0 -6 -1|, <0 2 9 3|] | | Map: [<1 0 -6 -1|, <0 2 9 3|] |
| | |
| EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314 | | EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.2513 cents
| |
|
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|
| [[image:bridgetown_29edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.2513 cents |
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| [[xenharmonic/bridgetown9|Nine note albitonic scale]] | | [[File:bridgetown_29edo.png|alt=bridgetown_29edo.png|bridgetown_29edo.png]] |
| [[xenharmonic/bridgetown14|Fourteen note chromatic scale]]
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| ==Music==
| | [[bridgetown9|Nine note albitonic scale]] |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]]</span></span> by [[xenharmonic/Igliashon Jones|Igliashon Jones]]
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]]</span></span> by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
| |
|
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| =Haumea= | | [[bridgetown14|Fourteen note chromatic scale]] |
| | |
| | ==Music== |
| | <span style=""><span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 Paint in the Water 29]</span></span> by [[Igliashon_Jones|Igliashon Jones]] |
| | |
| | <span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 Route 14 in Bridgetown]</span></span> by [[Chris_Vaisvil|Chris Vaisvil]] |
| | |
| | =Haumea= |
| Subgroup: 2.3.7/5.11/5.13/5 | | Subgroup: 2.3.7/5.11/5.13/5 |
| | |
| Commas: 352/351, 676/675, 847/845 | | Commas: 352/351, 676/675, 847/845 |
| Related temperaments: [[Chromatic pairs#Bridgetown|bridgetown]], [[Hemifamity family#Namaka|namaka]], hemigari, barbados, parizekmic
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~15/13 = 248.491 | | Related temperaments: [[Chromatic_pairs#Bridgetown|bridgetown]], [[Hemifamity_family#Namaka|namaka]], hemigari, barbados, parizekmic |
| | |
| | [[Tp_tuning|POT2 generator]]: ~15/13 = 248.491 |
| | |
| | [[Gencom|Gencom]]: [2 15/13; 352/351 676/675 847/845] |
|
| |
|
| [[Gencom]]: [2 15/13; 352/351 676/675 847/845]
| |
| Gencom map: [<1 2 -3/4 -11/4 9/4 5/4|, <0 -2 0 12 -9 -3|] | | Gencom map: [<1 2 -3/4 -11/4 9/4 5/4|, <0 -2 0 12 -9 -3|] |
|
| |
|
| Map: [<1 0 10 -6 -1|, <0 2 -12 9 3|] | | Map: [<1 0 10 -6 -1|, <0 2 -12 9 3|] |
| | |
| EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd | | EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.2668 cents
| |
|
| |
|
| [[xenharmonic/haumea5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.2668 cents |
| [[xenharmonic/haumea9|Nine note albitonic scale]] | | |
| [[xenharmonic/haumea14|Fourteen note chromatic scale]] | | [[haumea5|Five note haplotonic scale]] |
| [[xenharmonic/haumea19|Nineteen note mega chromatic scale]] | | |
| | [[haumea9|Nine note albitonic scale]] |
| | |
| | [[haumea14|Fourteen note chromatic scale]] |
| | |
| | [[haumea19|Nineteen note mega chromatic scale]] |
|
| |
|
| =Neuter= | | =Neuter= |
| Subgroup: 2.3.11 | | Subgroup: 2.3.11 |
| | |
| Commas: 243/242 | | Commas: 243/242 |
| | |
| Svalname: 7&17 | | Svalname: 7&17 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~11/9 = 350.525 | | [[Tp_tuning|POT2 generator]]: ~11/9 = 350.525 |
| | |
| | [[Gencom|Gencom]]: [2 11/9; 243/242] |
|
| |
|
| [[Gencom]]: [2 11/9; 243/242]
| |
| Gencom map: [<1 1 0 0 2|, <0 2 0 0 5|] | | Gencom map: [<1 1 0 0 2|, <0 2 0 0 5|] |
|
| |
|
| Map: [<1 1 2|, <0 2 5|] | | Map: [<1 1 2|, <0 2 5|] |
| | |
| EDOs: 7, 17, 24, 65, 89, 202, 291, 380 | | EDOs: 7, 17, 24, 65, 89, 202, 291, 380 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.3021 cents
| |
|
| |
|
| [[image:neuter_380edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.3021 cents |
|
| |
|
| [[xenharmonic/neutraltet7|Seven note albitonic scale]] | | [[File:neuter_380edo.png|alt=neuter_380edo.png|neuter_380edo.png]] |
| [[xenharmonic/neutraltet10|Ten note chromatic scale]]
| |
| [[xenharmonic/neutraltet17|Seventeen note mega chromatic scale]]
| |
|
| |
|
| ==Music==
| | [[neutraltet7|Seven note albitonic scale]] |
| [[https://soundcloud.com/jdfreivald/mo-happy-happy|Mo - Happy - Happy]] [[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3|play]] by Jake Freivald in Neuter[7], 24et tuning | |
|
| |
|
| =Slendric= | | [[neutraltet10|Ten note chromatic scale]] |
| | |
| | [[neutraltet17|Seventeen note mega chromatic scale]] |
| | |
| | ==Music== |
| | [https://soundcloud.com/jdfreivald/mo-happy-happy Mo - Happy - Happy] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by Jake Freivald in Neuter[7], 24et tuning |
| | |
| | =Slendric= |
| Subgroup: 2.3.7 | | Subgroup: 2.3.7 |
| | |
| Comma: 1029/1024 | | Comma: 1029/1024 |
| | |
| Sval name: 5&21 | | Sval name: 5&21 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~8/7 = 233.688 | | [[Tp_tuning|POT2 generator]]: ~8/7 = 233.688 |
| | |
| | [[Gencom|Gencom]]: [2 8/7; 1029/1024] |
|
| |
|
| [[Gencom]]: [2 8/7; 1029/1024]
| |
| Gencom map: [<1 1 0 3|, <0 3 0 -1|] | | Gencom map: [<1 1 0 3|, <0 3 0 -1|] |
|
| |
|
| Map: [<1 1 3|, <0 3 -1|] | | Map: [<1 1 3|, <0 3 -1|] |
| | |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190 | | EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.3202 cents
| |
|
| |
|
| [[image:xenharmonic/slendric_190edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.3202 cents |
| | |
| | [[File:slendric_190edo.jpg|alt=slendric_190edo.jpg|slendric_190edo.jpg]] |
| | |
| | [[slendric5|Five note haplotonic scale]] |
| | |
| | [[slendric6|Six note haplotonic scale]] |
| | |
| | [[slendric11|Eleven note albitonic scale]] |
| | |
| | [[slendric16|Sixteen note chromatic scale]] |
| | |
| | ==Music== |
| | <span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3 The 11th Slendric Fanfare]</span></span> |
|
| |
|
| [[xenharmonic/slendric5|Five note haplotonic scale]] | | <span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3 16 Slendric Virgins]</span></span> |
| [[xenharmonic/slendric6|Six note haplotonic scale]]
| |
| [[xenharmonic/slendric11|Eleven note albitonic scale]]
| |
| [[xenharmonic/slendric16|Sixteen note chromatic scale]]
| |
|
| |
|
| ==Music==
| | by [[Chris_Vaisvil|Chris Vaisvil]] |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]</span></span>
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]</span></span>
| |
| by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | |
|
| |
|
| =Huntington= | | =Huntington= |
| Subgroup: 2.5.7.13 | | Subgroup: 2.5.7.13 |
| | |
| Commas: 640/637, 10985/10976 | | Commas: 640/637, 10985/10976 |
| | |
| Sval name: 10&27 | | Sval name: 10&27 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~16/13 = 357.002 | | [[Tp_tuning|POT2 generator]]: ~16/13 = 357.002 |
| | |
| | [[Gencom|Gencom]]: [2 16/13; 640/637 10985/10976] |
|
| |
|
| [[Gencom]]: [2 16/13; 640/637 10985/10976]
| |
| Gencom map: [<1 0 5 4 0 4|, <0 0 -9 -4 0 -1|] | | Gencom map: [<1 0 5 4 0 4|, <0 0 -9 -4 0 -1|] |
|
| |
|
| Map: [<1 5 4 4|, <0 -9 -4 -1|] | | Map: [<1 5 4 4|, <0 -9 -4 -1|] |
| | |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd | | EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.3452 cents
| |
|
| |
|
| [[image:huntington_400edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.3452 cents |
|
| |
|
| [[xenharmonic/huntington7|Seven note haplotonic scale]] | | [[File:huntington_400edo.jpg|alt=huntington_400edo.jpg|huntington_400edo.jpg]] |
| [[xenharmonic/huntington10|Ten note albitonic scale]]
| |
| [[xenharmonic/huntington17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Tobago= | | [[huntington7|Seven note haplotonic scale]] |
| | |
| | [[huntington10|Ten note albitonic scale]] |
| | |
| | [[huntington17|Seventeen note chromatic scale]] |
| | |
| | =Tobago= |
| Subgroup: 2.3.11.13/5 | | Subgroup: 2.3.11.13/5 |
| | |
| Commas: 243/242, 676/675 | | Commas: 243/242, 676/675 |
| | |
| Sval name: 10&14 | | Sval name: 10&14 |
| Related temperaments: [[Chromatic pairs#Neuter|neuter]], [[xenharmonic/The Archipelago|barbados]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~15/13 = 249.312 | | Related temperaments: [[Chromatic_pairs#Neuter|neuter]], [[The_Archipelago|barbados]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~15/13 = 249.312 |
| | |
| | [[Gencom|Gencom]]: [55/39 15/13; 243/242 676/675] |
|
| |
|
| [[Gencom]]: [55/39 15/13; 243/242 676/675]
| |
| Gencom map: [<2 4 -2 0 9 2|, <0 -2 3/2 0 -5 -3/2|] | | Gencom map: [<2 4 -2 0 9 2|, <0 -2 3/2 0 -5 -3/2|] |
|
| |
|
| Map: [<2 0 -1 -2], <0 2 5 3]] | | Map: [<2 0 -1 -2], <0 2 5 3]] |
| | |
| EDOs: 10, 14, 24, 58, 82, 130 | | EDOs: 10, 14, 24, 58, 82, 130 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.3533 cents
| |
|
| |
|
| [[xenharmonic/tobago6|Six note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.3533 cents |
| [[xenharmonic/tobago10|Ten note albitonic scale]] | | |
| [[xenharmonic/tobago14|Fourteen note chromatic scale]] | | [[tobago6|Six note haplotonic scale]] |
| [[xenharmonic/tobago24|Twentyfour note quatertone scale]] | | |
| | [[tobago10|Ten note albitonic scale]] |
| | |
| | [[tobago14|Fourteen note chromatic scale]] |
| | |
| | [[tobago24|Twentyfour note quatertone scale]] |
|
| |
|
| =Pepperoni= | | =Pepperoni= |
| Subgroup: 2.3.11/7.13/7 | | Subgroup: 2.3.11/7.13/7 |
| | |
| Commas: 352/351, 364/363 | | Commas: 352/351, 364/363 |
| | |
| Sval name: 5&12 | | Sval name: 5&12 |
| Related temperament: The [[xenharmonic/Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~3/2 = 703.856 | | Related temperament: The [[Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name. |
| | |
| | [[Tp_tuning|POT2 generator]]: ~3/2 = 703.856 |
| | |
| | [[Gencom|Gencom]]: [2 3/2; 352/351 364/363] |
|
| |
|
| [[Gencom]]: [2 3/2; 352/351 364/363]
| |
| Gencom map: [<1 1 0 -8/3 1/3 7/3|, <0 1 0 11/3 -1/3 -10/3|] | | Gencom map: [<1 1 0 -8/3 1/3 7/3|, <0 1 0 11/3 -1/3 -10/3|] |
|
| |
|
| Map: [<1 0 7 12|, <0 1 -4 -7|] | | Map: [<1 0 7 12|, <0 1 -4 -7|] |
| | |
| EDOs: 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd | | EDOs: 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.3789 cents
| |
|
| |
|
| [[image:pepperoni_271edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.3789 cents |
|
| |
|
| [[xenharmonic/pepperoni7|Seven note albitonic scale]] | | [[File:pepperoni_271edo.png|alt=pepperoni_271edo.png|pepperoni_271edo.png]] |
| [[xenharmonic/pepperoni12|Twelve note chromatic scale]]
| |
|
| |
|
| =Wizz= | | [[pepperoni7|Seven note albitonic scale]] |
| | |
| | [[pepperoni12|Twelve note chromatic scale]] |
| | |
| | =Wizz= |
| Subgroup: 2.5.11 | | Subgroup: 2.5.11 |
| | |
| Commas: 15625/15488 | | Commas: 15625/15488 |
| | |
| Sval name: 6&16 | | Sval name: 6&16 |
| Related temperaments: [[Marvel temperaments#Wizard-11-limit|wizard]] | | |
| | Related temperaments: [[Marvel_temperaments#Wizard-11-limit|wizard]] |
|
| |
|
| Generator: ~5/4 = 383.768 | | Generator: ~5/4 = 383.768 |
|
| |
|
| [[Gencom]]: [125/88 5/4; 15625/15488] | | [[Gencom|Gencom]]: [125/88 5/4; 15625/15488] |
| | |
| Gencom map: [<2 0 4 0 5| <0 0 1 0 3|] | | Gencom map: [<2 0 4 0 5| <0 0 1 0 3|] |
|
| |
|
| Map: [<2 0 -7|, <0 1 3|] | | Map: [<2 0 -7|, <0 1 3|] |
| | |
| EDOs: 6, 16, 22, 28, 50, 122, 172, 222 | | EDOs: 6, 16, 22, 28, 50, 122, 172, 222 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.3997
| |
|
| |
|
| [[xenharmonic/wizz6|Six note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.3997 |
| [[xenharmonic/wizz10|Ten note albitonic scale]] | | |
| [[xenharmonic/wizz16|Sixteen note chromatic scale]] | | [[wizz6|Six note haplotonic scale]] |
| | |
| | [[wizz10|Ten note albitonic scale]] |
| | |
| | [[wizz16|Sixteen note chromatic scale]] |
|
| |
|
| =Bossier= | | =Bossier= |
| Subgroup: 2.7.11.13 | | Subgroup: 2.7.11.13 |
| | |
| Commas: 1573/1568, 15488/15379 | | Commas: 1573/1568, 15488/15379 |
| | |
| Sval name: 3&17 | | Sval name: 3&17 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~14/11 = 421.309 | | [[Tp_tuning|POT2 generator]]: ~14/11 = 421.309 |
| | |
| | [[Gencom|Gencom]]: [2 14/11; 1573/1568 15488/15379] |
|
| |
|
| [[Gencom]]: [2 14/11; 1573/1568 15488/15379]
| |
| Gencom map: [<1 0 0 0 1 3|, <0 0 0 8 7 2|] | | Gencom map: [<1 0 0 0 1 3|, <0 0 0 8 7 2|] |
|
| |
|
| Map: [<1 0 1 3|, <0 8 7 2|] | | Map: [<1 0 1 3|, <0 8 7 2|] |
| | |
| EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd | | EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.4043 cents
| |
|
| |
|
| [[image:bossier_225edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.4043 cents |
|
| |
|
| [[xenharmonic/bossier8|Eight note albitonic scale]] | | [[File:bossier_225edo.jpg|alt=bossier_225edo.jpg|bossier_225edo.jpg]] |
| [[xenharmonic/bossier11|Eleven note chromatic scale]]
| |
| [[xenharmonic/bossier14|Fourteen note mega chromatic scale]]
| |
|
| |
|
| =Penta= | | [[bossier8|Eight note albitonic scale]] |
| | |
| | [[bossier11|Eleven note chromatic scale]] |
| | |
| | [[bossier14|Fourteen note mega chromatic scale]] |
| | |
| | =Penta= |
| Subgroup: 2.9.7.11 | | Subgroup: 2.9.7.11 |
| | |
| Commas: 896/891, 26411/26244 | | Commas: 896/891, 26411/26244 |
| | |
| Svalname: 8&11 | | Svalname: 8&11 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/7 = 438.465 | | [[Tp_tuning|POT2 generator]]: ~9/7 = 438.465 |
| | |
| | [[Gencom|Gencom]]: [2 9/7; 896/891 26411/26244] |
|
| |
|
| [[Gencom]]: [2 9/7; 896/891 26411/26244]
| |
| Gencom map: [<1 5/2 0 5 2|, <0 -5/2 0 -6 4|] | | Gencom map: [<1 5/2 0 5 2|, <0 -5/2 0 -6 4|] |
|
| |
|
| Map: [<1 0 -1 6|, <0 5 6 -4|] | | Map: [<1 0 -1 6|, <0 5 6 -4|] |
| | |
| EDOs: 8, 11, 30, 41, 52 | | EDOs: 8, 11, 30, 41, 52 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.4262 cents
| |
|
| |
|
| [[xenharmonic/penta5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.4262 cents |
| [[xenharmonic/penta8|Eight note albitonic scale]]
| | |
| [[xenharmonic/penta11|Eleven note chromatic scale]]
| | [[penta5|Five note haplotonic scale]] |
| [[xenharmonic/penta19|Nineteen note mega chromatic scale]] | |
|
| |
|
| =Bluebirds= | | [[penta8|Eight note albitonic scale]] |
| | |
| | [[penta11|Eleven note chromatic scale]] |
| | |
| | [[penta19|Nineteen note mega chromatic scale]] |
| | |
| | =Bluebirds= |
| Subgroup: 2.11.13 | | Subgroup: 2.11.13 |
| | |
| Comma: 265837/262144 | | Comma: 265837/262144 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~143/128 = 182.368 | | [[Tp_tuning|POT2 generator]]: ~143/128 = 182.368 |
|
| |
|
| Gencom: [2 143/128; 265837/262144] | | Gencom: [2 143/128; 265837/262144] |
| | |
| Gencom map: [<1 0 0 0 3 4|, <0 0 0 0 3 -2|] | | Gencom map: [<1 0 0 0 3 4|, <0 0 0 0 3 -2|] |
|
| |
|
| Map: [<1 0 6|, <0 3 -2|] | | Map: [<1 0 6|, <0 3 -2|] |
| | |
| EDOs: 6, 7, 13, 33, 46, 79, 125c, 204bc, 329bc | | EDOs: 6, 7, 13, 33, 46, 79, 125c, 204bc, 329bc |
|
| |
|
| [[Tp tuning#T2%20tuning|RMS error]]: 0.4444 cents | | [[Tp_tuning#T2 tuning|RMS error]]: 0.4444 cents |
| | |
| | [[bluebirds6|Six note haplotonic scale]] |
| | |
| | [[bluebirds7|Seven note albitonic scale]] |
|
| |
|
| [[xenharmonic/bluebirds6|Six note haplotonic scale]] | | [[bluebirds13|Thirteen note chromatic scale]] |
| [[xenharmonic/bluebirds7|Seven note albitonic scale]]
| |
| [[xenharmonic/bluebirds13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Marveltri= | | =Marveltri= |
| Subgroup: 2.5.9/7 | | Subgroup: 2.5.9/7 |
| | |
| Comma: 225/224 | | Comma: 225/224 |
| | |
| Sval name: 3&13 | | Sval name: 3&13 |
| | |
| Related temperaments: marvel, 22&47, magic | | Related temperaments: marvel, 22&47, magic |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~5/4 = 383.638 | | [[Tp_tuning|POT2 generator]]: ~5/4 = 383.638 |
| | |
| | [[Gencom|Gencom]]: [2 5/4; 225/224] |
|
| |
|
| [[Gencom]]: [2 5/4; 225/224]
| |
| Gencom map: [<1 2/5 2 -1/5|, <0 -4/5 1 2/5|] | | Gencom map: [<1 2/5 2 -1/5|, <0 -4/5 1 2/5|] |
|
| |
|
| Map: [<1 0 5|, <0 1 -2|] | | Map: [<1 0 5|, <0 1 -2|] |
| | |
| EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc | | EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.4801 cents
| |
|
| |
|
| [[xenharmonic/marveltri7|Seven note albitonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.4801 cents |
| [[xenharmonic/marveltri10|Ten note chromatic scale]]
| |
| [[xenharmonic/marveltri13|Thirteen note mega chromatic scale]]
| |
|
| |
|
| =Edson= | | [[marveltri7|Seven note albitonic scale]] |
| | |
| | [[marveltri10|Ten note chromatic scale]] |
| | |
| | [[marveltri13|Thirteen note mega chromatic scale]] |
| | |
| | =Edson= |
| Subgroup: 2.3.7/5.11/5.13/5 | | Subgroup: 2.3.7/5.11/5.13/5 |
| | |
| Commas: 196/195, 352/351, 364/363 | | Commas: 196/195, 352/351, 364/363 |
| Related temperaments: [[Hemifamity family#Pele|pele]], cassandra
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~3/2 = 703.414 | | Related temperaments: [[Hemifamity_family#Pele|pele]], cassandra |
| | |
| | [[Tp_tuning|POT2 generator]]: ~3/2 = 703.414 |
| | |
| | [[Gencom|Gencom]]: [2 3/2; 196/195, 352/351, 364/363] |
|
| |
|
| [[Gencom]]: [2 3/2; 196/195, 352/351, 364/363]
| |
| Gencom map: [<1 1 -5 -1 2 4|, <0 1 29/4 5/4 -11/4 -23/4|] | | Gencom map: [<1 1 -5 -1 2 4|, <0 1 29/4 5/4 -11/4 -23/4|] |
|
| |
|
| Map: [<1 0 10 17 22|, <0 1 -6 -10 -13|] | | Map: [<1 0 10 17 22|, <0 1 -6 -10 -13|] |
| | |
| EDOs: 12, 17, 29, 621bcde | | EDOs: 12, 17, 29, 621bcde |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.5102 cents
| |
|
| |
|
| [[xenharmonic/edson5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.5102 cents |
| [[xenharmonic/edson7|Seven note albitonic scale]] | | |
| [[xenharmonic/edson12|Twelve note chromatic scale]] | | [[edson5|Five note haplotonic scale]] |
| [[xenharmonic/edson17|Seventeen note mega chromatic scale]] | | |
| | [[edson7|Seven note albitonic scale]] |
| | |
| | [[edson12|Twelve note chromatic scale]] |
| | |
| | [[edson17|Seventeen note mega chromatic scale]] |
|
| |
|
| =Photia= | | =Photia= |
| Subgroup: 2.3.5.17.19 | | Subgroup: 2.3.5.17.19 |
| | |
| Commas: 171/170, 256/255, 324/323 | | Commas: 171/170, 256/255, 324/323 |
| | |
| Sval name: 12&41 | | Sval name: 12&41 |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~3/2 = 701.470 | | Related temperament: [[Schismatic_family|schismatic]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~3/2 = 701.470 |
| | |
| | [[Gencom|Gencom]]: [2 3/2; 171/170 256/255 324/323] |
|
| |
|
| [[Gencom]]: [2 3/2; 171/170 256/255 324/323]
| |
| Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 7 -3|] | | Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 7 -3|] |
|
| |
|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] | | Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] |
| | |
| EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d | | EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.5374 cents
| |
|
| |
|
| [[image:photia_65edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.5374 cents |
|
| |
|
| [[xenharmonic/photia7|Seven note albitonic scale]] | | [[File:photia_65edo.png|alt=photia_65edo.png|photia_65edo.png]] |
| [[xenharmonic/photia12|Twelve note chromatic scale]]
| |
|
| |
|
| =Shoe= | | [[photia7|Seven note albitonic scale]] |
| | |
| | [[photia12|Twelve note chromatic scale]] |
| | |
| | =Shoe= |
| Subgroup: 2.5.7.11.13 | | Subgroup: 2.5.7.11.13 |
| | |
| Commas: 176/175, 640/637, 847/845 | | Commas: 176/175, 640/637, 847/845 |
| | |
| Sval name: 16&21 | | Sval name: 16&21 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~8/7 = 227.108 | | [[Tp_tuning|POT2 generator]]: ~8/7 = 227.108 |
| | |
| | [[Gencom|Gencom]]: [2 8/7; 176/175 640/637 847/845] |
|
| |
|
| [[Gencom]]: [2 8/7; 176/175 640/637 847/845]
| |
| Gencom map: [<1 0 1 3 1 2|, <0 0 7 -1 13 9|] | | Gencom map: [<1 0 1 3 1 2|, <0 0 7 -1 13 9|] |
|
| |
|
| Map: [<1 1 3 1 2|, <0 7 -1 13 9|] | | Map: [<1 1 3 1 2|, <0 7 -1 13 9|] |
| | |
| EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce | | EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.5433 cents
| |
|
| |
|
| [[image:xenharmonic/shoe_37edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.5433 cents |
|
| |
|
| [[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[File:shoe_37edo.jpg|alt=shoe_37edo.jpg|shoe_37edo.jpg]] |
| [[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
| |
| [[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Roulette= | | [[shoe5|shoe5]] - five note mini [[haplotonic_scale|haplotonic scale]] |
| | |
| | [[shoe6|shoe6]] - six note [[haplotonic_scale|haplotonic scale]] |
| | |
| | [[shoe11|shoe11]] - eleven note note [[albitonic_scale|albitonic scale]] |
| | |
| | [[shoe16|shoe16]] - sixteen note [[chromatic_scale|chromatic scale]] |
| | |
| | =Roulette= |
| Subgroup: 2.5.7.11.13 | | Subgroup: 2.5.7.11.13 |
| | |
| Commas: 176/175, 1375/1372, 640/637 | | Commas: 176/175, 1375/1372, 640/637 |
| | |
| Sval name: 6&25 | | Sval name: 6&25 |
| Related temperament: [[xenharmonic/Würschmidt family|Hemiwürschmidt]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~28/25 = 194.594 | | Related temperament: [[Würschmidt_family|Hemiwürschmidt]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~28/25 = 194.594 |
| | |
| | [[Gencom|Gencom]]: [2 28/25; 176/175 1375/1372 640/637] |
|
| |
|
| [[Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
| |
| Gencom map: [<1 0 2 2 2 5|, <0 0 2 5 9 -8|] | | Gencom map: [<1 0 2 2 2 5|, <0 0 2 5 9 -8|] |
|
| |
|
| Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|] | | Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|] |
| | |
| EDOs: 6, 7, 13, 19, 25, 31, 37 | | EDOs: 6, 7, 13, 19, 25, 31, 37 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.5567 cents
| |
|
| |
|
| [[image:xenharmonic/roulette_37edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.5567 cents |
|
| |
|
| [[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[File:roulette_37edo.jpg|alt=roulette_37edo.jpg|roulette_37edo.jpg]] |
| [[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
| [[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]
| |
|
| |
|
| =Silver= | | [[roulette6|roulette6]] - six note [[haplotonic_scale|haplotonic scale]] |
| | |
| | [[roulette7|roulette7]] - seven note [[albitonic_scale|albitonic scale]] |
| | |
| | [[roulette13|roulette13]] - thirteen note [[chromatic_scale|chromatic scale]] |
| | |
| | [[roulette19|roulette19]] - nineteen note [[mega_chromatic_scale|mega chromatic scale]] |
| | |
| | =Silver= |
| Subgroup: 2.5.7.13.17 | | Subgroup: 2.5.7.13.17 |
| | |
| Commas: 170/169, 640/637, 5525/5488 | | Commas: 170/169, 640/637, 5525/5488 |
| | |
| Sval name: 10&27 | | Sval name: 10&27 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~13/8 = 842.711 | | [[Tp_tuning|POT2 generator]]: ~13/8 = 842.711 |
| | |
| | [[Gencom|Gencom]]: [2 13/8; 170/169 640/637 5525/5488] |
|
| |
|
| [[Gencom]]: [2 13/8; 170/169 640/637 5525/5488]
| |
| Gencom map: [<1 0 -4 0 0 3 9|, <0 0 9 4 0 1 -7|] | | Gencom map: [<1 0 -4 0 0 3 9|, <0 0 9 4 0 1 -7|] |
|
| |
|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|] | | Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|] |
| EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, 178e, 309cde, [[xenharmonic/487edo|487bcdee]]
| |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.5886 cents
| |
|
| |
|
| [[image:silver_487edo.jpg]] | | EDOs: 7, 10, 17, 27, 37, [[47edo|47]], 84, 131, 178e, 309cde, [[487edo|487bcdee]] |
|
| |
|
| [[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.5886 cents |
| [[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Baldy= | | [[File:silver_487edo.jpg|alt=silver_487edo.jpg|silver_487edo.jpg]] |
| | |
| | [[silver7|silver7]] -seven note [[haplotonic_scale|haplotonic scale]] |
| | |
| | [[silver10|silver10]] - ten note [[albitonic_scale|albitonic scale]] |
| | |
| | [[silver17|silver17]] - seventeen note [[chromatic_scale|chromatic scale]] |
| | |
| | =Baldy= |
| Subgroup: 2.9.5.7.13 | | Subgroup: 2.9.5.7.13 |
| | |
| Commas: 225/224, 325/324, 640/637 | | Commas: 225/224, 325/324, 640/637 |
| | |
| Sval name: 6&35 | | Sval name: 6&35 |
| Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/8 = 204.090 | | Related temperament: [[Schismatic_family|Garibaldi]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~9/8 = 204.090 |
| | |
| | [[Gencom|Gencom]]: [2 9/8; 225/224 325/324 640/637] |
|
| |
|
| [[Gencom]]: [2 9/8; 225/224 325/324 640/637]
| |
| Gencom map: [<1 3/2 3 4 0 2|, <0 1/2 -4 -7 0 10|] | | Gencom map: [<1 3/2 3 4 0 2|, <0 1/2 -4 -7 0 10|] |
|
| |
|
| Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|] | | Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|] |
| EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]], 488cd, 635cd
| |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.5999 cents
| |
|
| |
|
| [[image:baldy_147edo.jpg]] | | EDOs: 6, 11, 17, 23, 29, 35, 41, [[47edo|47]], 100, [[147edo|147]], 488cd, 635cd |
| | |
| | [[Tp_tuning#T2 tuning|RMS error]]: 0.5999 cents |
| | |
| | [[File:baldy_147edo.jpg|alt=baldy_147edo.jpg|baldy_147edo.jpg]] |
|
| |
|
| [[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[baldy6|baldy6]] - six note [[haplotonic_scale|haplotonic scale]] |
| [[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Guanyintet= | | [[baldy11|baldy11]] - eleven note [[albitonic_scale|albitonic scale]] |
| | |
| | [[baldy17|baldy17]] - seventeen note [[chromatic_scale|chromatic scale]] |
| | |
| | =Guanyintet= |
| Subgroup: 2.5.7/3.11/3 | | Subgroup: 2.5.7/3.11/3 |
| | |
| Commas: 176/175, 540/539 | | Commas: 176/175, 540/539 |
| | |
| Svalname: 4&9 | | Svalname: 4&9 |
| | |
| Related temperaments: guanyin, orwell | | Related temperaments: guanyin, orwell |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~7/6 = 270.093 | | [[Tp_tuning|POT2 generator]]: ~7/6 = 270.093 |
| | |
| | [[Gencom|Gencom]]: [2 7/6; 176/175 540/539] |
|
| |
|
| [[Gencom]]: [2 7/6; 176/175 540/539]
| |
| Gencom map: [<1 -4/3 3 -1/3 5/3|, <0 4/3 -3 7/3 -11/3|] | | Gencom map: [<1 -4/3 3 -1/3 5/3|, <0 4/3 -3 7/3 -11/3|] |
|
| |
|
| Map: [<1 0 2 -2|, <0 3 -1 5|] | | Map: [<1 0 2 -2|, <0 3 -1 5|] |
| | |
| EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd | | EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.6028 cents
| |
|
| |
|
| [[xenharmonic/guanyintet5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.6028 cents |
| [[xenharmonic/guanyintet9|Nine note albitonic scale]]
| |
| [[xenharmonic/guanyintet13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Radon= | | [[guanyintet5|Five note haplotonic scale]] |
| | |
| | [[guanyintet9|Nine note albitonic scale]] |
| | |
| | [[guanyintet13|Thirteen note chromatic scale]] |
| | |
| | =Radon= |
| Subgroup: 2.3.7.11 | | Subgroup: 2.3.7.11 |
| | |
| Commas: 896/891, 1029/1024 | | Commas: 896/891, 1029/1024 |
| | |
| Sval name: 5&36 | | Sval name: 5&36 |
| Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~8/7 = 234.381 | | Related temperament: [[Gamelismic_clan|Rodan]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~8/7 = 234.381 |
| | |
| | [[Gencom|Gencom]]: [2 8/7; 896/891 1029/1024] |
|
| |
|
| [[Gencom]]: [2 8/7; 896/891 1029/1024]
| |
| Gencom map: [<1 1 0 3 6|, <0 3 0 -1 -13|] | | Gencom map: [<1 1 0 3 6|, <0 3 0 -1 -13|] |
|
| |
|
| Map: [<1 1 3 6|, <0 3 -1 -13|] | | Map: [<1 1 3 6|, <0 3 -1 -13|] |
| | |
| EDOs: 5, 36, 41, 87, 128 | | EDOs: 5, 36, 41, 87, 128 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.6502 cents
| |
|
| |
|
| [[image:radon_128edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.6502 cents |
| | |
| | [[File:radon_128edo.jpg|alt=radon_128edo.jpg|radon_128edo.jpg]] |
| | |
| | [[radon5|Five note haplotonic scale]] |
|
| |
|
| [[xenharmonic/radon5|Five note haplotonic scale]] | | [[radon11|Eleven note albitonic scale]] |
| [[xenharmonic/radon11|Eleven note albitonic scale]]
| |
| [[xenharmonic/radon16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Gariberttet= | | [[radon16|Sixteen note chromatic scale]] |
| | |
| | =Gariberttet= |
| Subgroup: 2.5/3.7/3.13/11 | | Subgroup: 2.5/3.7/3.13/11 |
| | |
| Commas: 275/273, 847/845 | | Commas: 275/273, 847/845 |
| | |
| Svalname: 4&29 | | Svalname: 4&29 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~13/11 = 293.679 | | [[Tp_tuning|POT2 generator]]: ~13/11 = 293.679 |
| | |
| | [[Gencom|Gencom]]: [2 13/11; 275/273 847/845] |
|
| |
|
| [[Gencom]]: [2 13/11; 275/273 847/845]
| |
| Gencom map: [<1 0 0 0 0 0|, <0 -8/3 1/3 7/3 -1/2 1/2|] | | Gencom map: [<1 0 0 0 0 0|, <0 -8/3 1/3 7/3 -1/2 1/2|] |
|
| |
|
| Map: [<1 0 0 0|, <0 3 5 1|] | | Map: [<1 0 0 0|, <0 3 5 1|] |
| | |
| EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd | | EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.6914 cents
| |
|
| |
|
| [[xenharmonic/gariberttet5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.6914 cents |
| [[xenharmonic/gariberttet9|Nine note albitonic scale]] | | |
| [[xenharmonic/gariberttet13|Thirteen note chromatic scale]]
| | [[gariberttet5|Five note haplotonic scale]] |
| | |
| | [[gariberttet9|Nine note albitonic scale]] |
|
| |
|
| =Namo= | | [[gariberttet13|Thirteen note chromatic scale]] |
| | |
| | =Namo= |
| Subgroup: 2.3.11.13 | | Subgroup: 2.3.11.13 |
| | |
| Commas: 144/143, 243/242 | | Commas: 144/143, 243/242 |
| Related temperament: [[Valinorismic temperaments#Mandos|mandos]], mohajira, hemif
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~11/9 = 351.488 | | Related temperament: [[Valinorismic_temperaments#Mandos|mandos]], mohajira, hemif |
| | |
| | [[Tp_tuning|POT2 generator]]: ~11/9 = 351.488 |
| | |
| | [[Gencom|Gencom]]: [2 11/9; 144/143 243/242] |
|
| |
|
| [[Gencom]]: [2 11/9; 144/143 243/242]
| |
| Gencom map: [<1 1 0 0 2 4|, <0 2 0 0 5 -1|] | | Gencom map: [<1 1 0 0 2 4|, <0 2 0 0 5 -1|] |
|
| |
|
| Map: [<1 1 2 4|, <0 2 5 -1|] | | Map: [<1 1 2 4|, <0 2 5 -1|] |
| | |
| EDOs: 7, 10, 17, 41, 58, 99cd | | EDOs: 7, 10, 17, 41, 58, 99cd |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.7038 cents
| |
|
| |
|
| [[xenharmonic/namo7|Seven note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.7038 cents |
| [[xenharmonic/namo10|Ten note albitonic scale]] | | |
| [[xenharmonic/namo17|Seventeen note chromatic scale]] | | [[namo7|Seven note haplotonic scale]] |
| | |
| | [[namo10|Ten note albitonic scale]] |
| | |
| | [[namo17|Seventeen note chromatic scale]] |
|
| |
|
| =Sentry= | | =Sentry= |
| Group: 2.5/3.9/7 | | Group: 2.5/3.9/7 |
| | |
| Commas: 245/243 | | Commas: 245/243 |
| | |
| Svalname: 3&5 | | Svalname: 3&5 |
| | |
| Related temperaments: sensi | | Related temperaments: sensi |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/7 = 440.902 | | [[Tp_tuning|POT2 generator]]: ~9/7 = 440.902 |
| | |
| | [[Gencom|Gencom]]: [2 9/7; 245/243] |
|
| |
|
| [[Gencom]]: [2 9/7; 245/243]
| |
| Gencom map: [<1 0 0 0|, <0 0 2 -1|] | | Gencom map: [<1 0 0 0|, <0 0 2 -1|] |
|
| |
|
| Map: [<1 0 0|, <0 2 1|] | | Map: [<1 0 0|, <0 2 1|] |
| | |
| EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc | | EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.7105 cents
| |
|
| |
|
| [[xenharmonic/sentry5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.7105 cents |
| [[xenharmonic/sentry8|Eight note albitonic scale]]
| |
| [[xenharmonic/sentry11|Eleven note note chromatic scale]]
| |
|
| |
|
| =Hemif= | | [[sentry5|Five note haplotonic scale]] |
| | |
| | [[sentry8|Eight note albitonic scale]] |
| | |
| | [[sentry11|Eleven note note chromatic scale]] |
| | |
| | =Hemif= |
| Subgroup: 2.3.7.11.13 | | Subgroup: 2.3.7.11.13 |
| | |
| Commas: 144/143, 243/242, 364/363 | | Commas: 144/143, 243/242, 364/363 |
| Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]], namo
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~11/9 = 351.691 | | Related temperament: [[Breedsmic_temperaments|Hemififths]], namo |
| | |
| | [[Tp_tuning|POT2 generator]]: ~11/9 = 351.691 |
| | |
| | [[Gencom|Gencom]]: [2 11/9; 144/143 243/242 364/363] |
|
| |
|
| [[Gencom]]: [2 11/9; 144/143 243/242 364/363]
| |
| Gencom map: [<1 1 0 -1 2 4|, <0 2 0 13 5 -1|] | | Gencom map: [<1 1 0 -1 2 4|, <0 2 0 13 5 -1|] |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] | | Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] |
| | |
| EDOs: 7, 10, 17, 24, 41, 58 | | EDOs: 7, 10, 17, 24, 41, 58 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.7167 cents
| |
|
| |
|
| [[image:hemif_58edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.7167 cents |
| | |
| | [[File:hemif_58edo.jpg|alt=hemif_58edo.jpg|hemif_58edo.jpg]] |
| | |
| | [[hemif7|Seven note haplotonic scale]] |
| | |
| | [[hemif10|Ten note albitonic scale]] |
|
| |
|
| [[xenharmonic/hemif7|Seven note haplotonic scale]] | | [[hemif17|Seventeen note chromatic scale]] |
| [[xenharmonic/hemif10|Ten note albitonic scale]]
| |
| [[xenharmonic/hemif17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Garibaldi= | | =Garibaldi= |
| Group: 2.3.5.7 | | Group: 2.3.5.7 |
| | |
| Commas: 225/224, 3125/3087 | | Commas: 225/224, 3125/3087 |
| | |
| Val name: 12&29 | | Val name: 12&29 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~3/2 = 702.085 | | [[Tp_tuning|POT2 generator]]: ~3/2 = 702.085 |
| | |
| | [[Gencom|Gencom]]: [2 3/2; 225/224 3125/3087] |
|
| |
|
| [[Gencom]]: [2 3/2; 225/224 3125/3087]
| |
| Gencom map: [<1 1 7 11], <0 1 -8 -14|] | | Gencom map: [<1 1 7 11], <0 1 -8 -14|] |
|
| |
|
| Map: [<1 0 15 25|, <0 1 -8 -14|] | | Map: [<1 0 15 25|, <0 1 -8 -14|] |
| | |
| EDOs: 7, 12, 17, 29, 41, 53, 94, 241c | | EDOs: 7, 12, 17, 29, 41, 53, 94, 241c |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.7257 cents
| |
|
| |
|
| [[image:garibaldi_94edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.7257 cents |
|
| |
|
| [[xenharmonic/garibaldi12|Twelve note albitonic scale]] | | [[File:garibaldi_94edo.png|alt=garibaldi_94edo.png|garibaldi_94edo.png]] |
| [[xenharmonic/garibaldi17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Mabila= | | [[garibaldi12|Twelve note albitonic scale]] |
| | |
| | [[garibaldi17|Seventeen note chromatic scale]] |
| | |
| | =Mabila= |
| Subgroup: 2.5.7 | | Subgroup: 2.5.7 |
| | |
| Comma: 1071875/1048576 | | Comma: 1071875/1048576 |
| | |
| Sval name: 7&9 | | Sval name: 7&9 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~175/128 = 527.236 | | [[Tp_tuning|POT2 generator]]: ~175/128 = 527.236 |
| | |
| | [[Gencom|Gencom]]: [2 175/128; 1071875/1048576] |
|
| |
|
| [[Gencom]]: [2 175/128; 1071875/1048576]
| |
| Gencom map: [<1 0 1 5}, <0, 0, 3, -5|] | | Gencom map: [<1 0 1 5}, <0, 0, 3, -5|] |
|
| |
|
| Map: [<1 1 5|, <0 3 -5|] | | Map: [<1 1 5|, <0 3 -5|] |
| | |
| EDOs: 7, 9, 16, 25, 41, 66, 305bc | | EDOs: 7, 9, 16, 25, 41, 66, 305bc |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.7729 cents
| |
|
| |
|
| [[image:mabila_66edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.7729 cents |
| | |
| | [[File:mabila_66edo.jpg|alt=mabila_66edo.jpg|mabila_66edo.jpg]] |
|
| |
|
| [[xenharmonic/mabila7|Seven note haplotonic scale]] | | [[mabila7|Seven note haplotonic scale]] |
| [[xenharmonic/mabila9|Nine note albitonic scale]]
| |
| [[xenharmonic/mabila16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Indium= | | [[mabila9|Nine note albitonic scale]] |
| | |
| | [[mabila16|Sixteen note chromatic scale]] |
| | |
| | =Indium= |
| Subgroup: 2.5/3.7/3.11/3 | | Subgroup: 2.5/3.7/3.11/3 |
| | |
| Commas: 3025/3024, 3125/3087 | | Commas: 3025/3024, 3125/3087 |
| | |
| Sval name: 8&33 | | Sval name: 8&33 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~12/11 = 147.010 | | [[Tp_tuning|POT2 generator]]: ~12/11 = 147.010 |
| | |
| | [[Gencom|Gencom]]: [2 12/11; 3025/3024 3125/3087] |
|
| |
|
| [[Gencom]]: [2 12/11; 3025/3024 3125/3087]
| |
| Gencom map: [<1 -1/2 -1/2 -1/2 3/2|, <0 -15/4 9/4 25/4 -19/4|] | | Gencom map: [<1 -1/2 -1/2 -1/2 3/2|, <0 -15/4 9/4 25/4 -19/4|] |
|
| |
|
| Map: [<1 0 0 2|, <0 6 10 -1|] | | Map: [<1 0 0 2|, <0 6 10 -1|] |
| | |
| EDOs: 33, 41, 49, 57, 106, 204, 253 | | EDOs: 33, 41, 49, 57, 106, 204, 253 |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.7788 cents
| |
|
| |
|
| [[image:indium_253edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.7788 cents |
| | |
| | [[File:indium_253edo.png|alt=indium_253edo.png|indium_253edo.png]] |
| | |
| | [[indium8|Eight note albitonic scale]] |
|
| |
|
| [[xenharmonic/indium8|Eight note albitonic scale]] | | [[indium17|Seventeen note chromatic scale]] |
| [[xenharmonic/indium17|Seventeen note chromatic scale]]
| |
|
| |
|
| ==Music== | | ==Music== |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]]</span></span> (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1532|details]]
| | <span style=""><span style="">[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 The Cry of Indium]</span></span> (in Indium 17) by [http://www.chrisvaisvil.com/ Chris Vaisvil] => [http://chrisvaisvil.com/?p=1532 details] |
|
| |
|
| =Starlingtet= | | =Starlingtet= |
| Group: 2.5/3.7/3 | | Group: 2.5/3.7/3 |
| | |
| Comma: 126/125 | | Comma: 126/125 |
| | |
| Svalname: 4&15 | | Svalname: 4&15 |
| | |
| Related temperaments: starling; becomes myna | | Related temperaments: starling; becomes myna |
| [[Tp tuning|POT2 generator]]: ~6/5 = 311.154
| |
|
| |
|
| [[Gencom]]: [2 6/5; 126/125] | | [[Tp_tuning|POT2 generator]]: ~6/5 = 311.154 |
| | |
| | [[Gencom|Gencom]]: [2 6/5; 126/125] |
| | |
| Gencom map: [<1 -1 0 1|, <0 4/3 1/3 -5/3|] | | Gencom map: [<1 -1 0 1|, <0 4/3 1/3 -5/3|] |
|
| |
|
| Map: [<1 0 -1|, <0 1 3|] | | Map: [<1 0 -1|, <0 1 3|] |
| | |
| EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b | | EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.8398 cents
| |
|
| |
|
| [[xenharmonic/starlingtet4|Four note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.8398 cents |
| [[xenharmonic/starlingtet7|Seven note albitonic scale]]
| |
| [[xenharmonic/starlingtet11|Eleven note chromatic scale]]
| |
|
| |
|
| =Lovecraft= | | [[starlingtet4|Four note haplotonic scale]] |
| | |
| | [[starlingtet7|Seven note albitonic scale]] |
| | |
| | [[starlingtet11|Eleven note chromatic scale]] |
| | |
| | =Lovecraft= |
| Group: 2.11.13 | | Group: 2.11.13 |
| | |
| Commas: 1352/1331 | | Commas: 1352/1331 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~13/11 = 279.318 | | [[Tp_tuning|POT2 generator]]: ~13/11 = 279.318 |
| | |
| | [[Gencom|Gencom]]: [2 13/11; 1352/1331] |
|
| |
|
| [[Gencom]]: [2 13/11; 1352/1331]
| |
| Gencom map: [<1 0 0 0 3 3|, <0 0 0 0 2 3|] | | Gencom map: [<1 0 0 0 3 3|, <0 0 0 0 2 3|] |
|
| |
|
| Map: [<1 1 0|, <0 2 3|] | | Map: [<1 1 0|, <0 2 3|] |
| | |
| EDOS: 13, 30, 43, 73, 116b | | EDOS: 13, 30, 43, 73, 116b |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.8449 cents
| |
|
| |
|
| [[image:lovecraft_116edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.8449 cents |
|
| |
|
| [[xenharmonic/lovecraft5|Five note haplotonic scale]] | | [[File:lovecraft_116edo.png|alt=lovecraft_116edo.png|lovecraft_116edo.png]] |
| [[xenharmonic/lovecraft9|Nine note albitonic scale]]
| |
| [[xenharmonic/lovecraft13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Blackbirds= | | [[lovecraft5|Five note haplotonic scale]] |
| | |
| | [[lovecraft9|Nine note albitonic scale]] |
| | |
| | [[lovecraft13|Thirteen note chromatic scale]] |
| | |
| | =Blackbirds= |
| Subgroup: 2.11.13 | | Subgroup: 2.11.13 |
| | |
| Comma: 29282/28561 | | Comma: 29282/28561 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~11/8 = 546.660 | | [[Tp_tuning|POT2 generator]]: ~11/8 = 546.660 |
|
| |
|
| Gencom: [13/11 11/8; 29282/28561] | | Gencom: [13/11 11/8; 29282/28561] |
| | |
| Gencom map: [<4 0 0 0 12 13|, <0 0 0 0 1 1|] | | Gencom map: [<4 0 0 0 12 13|, <0 0 0 0 1 1|] |
|
| |
|
| Map: [<4 0 1|, <0 1 1|] | | Map: [<4 0 1|, <0 1 1|] |
| | |
| EDOs: 4, 16, 20, 24, 44, 68, 112c, 180bc | | EDOs: 4, 16, 20, 24, 44, 68, 112c, 180bc |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.8685 cents
| |
|
| |
|
| [[xenharmonic/blackbirds8|Eight note albitonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.8685 cents |
| [[xenharmonic/blackbirds12|Twelve note chromatic scale]]
| |
| [[xenharmonic/blackbirds16|Sixteen note mega chromatic scale]]
| |
|
| |
|
| =Laz= | | [[blackbirds8|Eight note albitonic scale]] |
| | |
| | [[blackbirds12|Twelve note chromatic scale]] |
| | |
| | [[blackbirds16|Sixteen note mega chromatic scale]] |
| | |
| | =Laz= |
| Subgroup: 2.5.7/3.11/3.13/3 | | Subgroup: 2.5.7/3.11/3.13/3 |
| | |
| Commas: 144/143, 176/175, 196/195 | | Commas: 144/143, 176/175, 196/195 |
| Related temperaments: [[Orwellismic family#Guanyin-Georgian|georgian]], winston
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~7/6 = 269.300 | | Related temperaments: [[Orwellismic_family#Guanyin-Georgian|georgian]], winston |
| | |
| | [[Tp_tuning|POT2 generator]]: ~7/6 = 269.300 |
| | |
| | [[Gencom|Gencom]]: [2 7/6; 144/143 176/175 196/195] |
|
| |
|
| [[Gencom]]: [2 7/6; 144/143 176/175 196/195]
| |
| Gencom map: [<1 -5/4 3 -1/4 7/4 -1/4|, <0 -1/4 -3 3/4 -21/4 19/4|] | | Gencom map: [<1 -5/4 3 -1/4 7/4 -1/4|, <0 -1/4 -3 3/4 -21/4 19/4|] |
|
| |
|
| Map: [<1 0 2 -2 6|, <0 3 -1 5 -5|] | | Map: [<1 0 2 -2 6|, <0 3 -1 5 -5|] |
| | |
| EDOs: 9, 31, 40, 49, 58, 156bde, 205bde | | EDOs: 9, 31, 40, 49, 58, 156bde, 205bde |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.8790 cents
| |
|
| |
|
| [[xenharmonic/laz5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.8790 cents |
| [[xenharmonic/laz9|Nine note albitonic scale]] | | |
| [[xenharmonic/laz13|Thirteen note chromatic scale]]
| | [[laz5|Five note haplotonic scale]] |
| | |
| | [[laz9|Nine note albitonic scale]] |
|
| |
|
| =Myna= | | [[laz13|Thirteen note chromatic scale]] |
| | |
| | =Myna= |
| Group: 2.3.5.7 | | Group: 2.3.5.7 |
| | |
| Commas: 126/125, 1728/1715 | | Commas: 126/125, 1728/1715 |
| | |
| Val name: 4&27 | | Val name: 4&27 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~6/5 = 310.146 | | [[Tp_tuning|POT2 generator]]: ~6/5 = 310.146 |
| | |
| | [[Gencom|Gencom]]: [2 6/5; 126/125 1728/1715] |
|
| |
|
| [[Gencom]]: [2 6/5; 126/125 1728/1715]
| |
| Gencom map: [<1 -1 0 1|,<0 10 9 7|] | | Gencom map: [<1 -1 0 1|,<0 10 9 7|] |
|
| |
|
| Map: [<1 9 9 8|, <0 -10 -9 -7|] | | Map: [<1 9 9 8|, <0 -10 -9 -7|] |
| | |
| EDOs: 4, 27, 31, 58, 89, 236c, 325cd | | EDOs: 4, 27, 31, 58, 89, 236c, 325cd |
| [[Tp tuning#T2%20tuning|RMS error]]: 0.9516 cents
| |
|
| |
|
| [[image:myna_89edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 0.9516 cents |
| | |
| | [[File:myna_89edo.jpg|alt=myna_89edo.jpg|myna_89edo.jpg]] |
| | |
| | [[myna7|Seven note haplotonic scale]] |
| | |
| | [[myna11|Eleven note albitonic scale]] |
|
| |
|
| [[xenharmonic/myna7|Seven note haplotonic scale]] | | [[myna15|Fifteen note chromatic scale]] |
| [[xenharmonic/myna11|Eleven note albitonic scale]]
| |
| [[xenharmonic/myna15|Fifteen note chromatic scale]]
| |
|
| |
|
| =Greeley= | | =Greeley= |
| Subgroup: 2.5/3.7/3.11/3 | | Subgroup: 2.5/3.7/3.11/3 |
| | |
| Commas: 121/120, 126/125 | | Commas: 121/120, 126/125 |
| Related temperament: [[Porcupine family#Opossum|Opossum]], [[Starling temperaments#Nusecond%20temperament|Nusecond]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~11/10 = 155.776 | | Related temperament: [[Porcupine_family#Opossum|Opossum]], [[Starling_temperaments#Nusecond temperament|Nusecond]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~11/10 = 155.776 |
| | |
| | [[Gencom|Gencom]]: [2 11/10; 121/120 126/125] |
|
| |
|
| [[Gencom]]: [2 11/10; 121/120 126/125]
| |
| Gencom map: <1 -5/4 -1/4 3/4 3/4|, <0 9/4 1/4 -15/4 5/4|] | | Gencom map: <1 -5/4 -1/4 3/4 3/4|, <0 9/4 1/4 -15/4 5/4|] |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|] | | Map: [<1 1 2 2|, <0 -2 -6 -1|] |
| | |
| EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd | | EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.034 cents
| |
|
| |
|
| [[image:greeley_100edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.034 cents |
|
| |
|
| [[xenharmonic/greeley8|Eight note albitonic scale]] | | [[File:greeley_100edo.png|alt=greeley_100edo.png|greeley_100edo.png]] |
| [[xenharmonic/greeley15|Fifteen note chromatic scale]]
| |
|
| |
|
| ==Music==
| | [[greeley8|Eight note albitonic scale]] |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]</span></span> by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15
| |
|
| |
|
| =Semidim= | | [[greeley15|Fifteen note chromatic scale]] |
| | |
| | ==Music== |
| | <span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 A Greeley Steals Halloween]</span></span> by [http://chrisvaisvil.com/?p=1485 Chris Vaisvil] in Greeley 15 |
| | |
| | =Semidim= |
| Subgroup: 2.5/3.7/3.11/3.13/3 | | Subgroup: 2.5/3.7/3.11/3.13/3 |
| | |
| Commas: 121/120, 169/168, 275/273 | | Commas: 121/120, 169/168, 275/273 |
| | |
| Sval name: 8&29 | | Sval name: 8&29 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~13/10 = 453.242 | | [[Tp_tuning|POT2 generator]]: ~13/10 = 453.242 |
| | |
| | [[Gencom|Gencom]]: [2 13/10; 121/120 169/168 275/273] |
|
| |
|
| [[Gencom]]: [2 13/10; 121/120 169/168 275/273]
| |
| Gencom map: [<1 -3 0 2 0 1|, <0 24/5 -6/5 -26/5 9/5 -1/5|] | | Gencom map: [<1 -3 0 2 0 1|, <0 24/5 -6/5 -26/5 9/5 -1/5|] |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|] | | Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|] |
| | |
| EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde, | | EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde, |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.052 cents
| |
|
| |
|
| [[image:semidim_770edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.052 cents |
|
| |
|
| [[xenharmonic/semidim8|Eight note albitonic scale]] | | [[File:semidim_770edo.png|alt=semidim_770edo.png|semidim_770edo.png]] |
| [[xenharmonic/semidim13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Mothwelltri= | | [[semidim8|Eight note albitonic scale]] |
| | |
| | [[semidim13|Thirteen note chromatic scale]] |
| | |
| | =Mothwelltri= |
| Group: 2.7/3.11 | | Group: 2.7/3.11 |
| | |
| Comma: 99/98 | | Comma: 99/98 |
| | |
| Svalname: 1&4 | | Svalname: 1&4 |
| | |
| Related temperament: Orwell | | Related temperament: Orwell |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~7/6 = 273.174 | | [[Tp_tuning|POT2 generator]]: ~7/6 = 273.174 |
| | |
| | [[Gencom|Gencom]]: [2 7/6; 99/98] |
|
| |
|
| [[Gencom]]: [2 7/6; 99/98]
| |
| Gencom map: [<1 -1/2 0 1/2 3|, <0 -1/2 0 1/2 2|] | | Gencom map: [<1 -1/2 0 1/2 3|, <0 -1/2 0 1/2 2|] |
|
| |
|
| Map: [<1 0 1|, <0 1 2|] | | Map: [<1 0 1|, <0 1 2|] |
| | |
| EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc | | EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.064 cents
| |
|
| |
|
| [[xenharmonic/mothwelltri5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.064 cents |
| [[xenharmonic/mothwelltri9|Nine note albitonic scale]] | | |
| [[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]
| | [[mothwelltri5|Five note haplotonic scale]] |
| | |
| | [[mothwelltri9|Nine note albitonic scale]] |
|
| |
|
| =Sulis= | | [[mothwelltri13|Thirteen note chromatic scale]] |
| | |
| | =Sulis= |
| Subgroup: 2.5.9/7.11/9 | | Subgroup: 2.5.9/7.11/9 |
| | |
| Commas: 99/98, 176/175 | | Commas: 99/98, 176/175 |
| Related temperament: [[Marvel family#Minerva|minerva]], würschmidt
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~5/4 = 386.558 | | Related temperament: [[Marvel_family#Minerva|minerva]], würschmidt |
| | |
| | [[Tp_tuning|POT2 generator]]: ~5/4 = 386.558 |
| | |
| | [[Gencom|Gencom]]: [2 5/4; 99/98 176/175] |
|
| |
|
| [[Gencom]]: [2 5/4; 99/98 176/175]
| |
| Gencom map: [<1 4/9 2 -1/9 -1/9|, <0 -4/3 1 -2/3 4/3|] | | Gencom map: [<1 4/9 2 -1/9 -1/9|, <0 -4/3 1 -2/3 4/3|] |
|
| |
|
| Map: [<1 0 5 -9|, <0 1 -2 4|] | | Map: [<1 0 5 -9|, <0 1 -2 4|] |
| | |
| EDOs: 22, 25, 28, 31, 59, 90c, 149c | | EDOs: 22, 25, 28, 31, 59, 90c, 149c |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.074 cents
| |
|
| |
|
| [[xenharmonic/sulis7|Seven note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.074 cents |
| [[xenharmonic/sulis10|Ten note albitonic scale]] | | |
| [[xenharmonic/sulis13|Thirteen note chromatic scale]]
| | [[sulis7|Seven note haplotonic scale]] |
| | |
| | [[sulis10|Ten note albitonic scale]] |
|
| |
|
| =Skwares= | | [[sulis13|Thirteen note chromatic scale]] |
| | |
| | =Skwares= |
| Subgroup: 2.3.7.11 | | Subgroup: 2.3.7.11 |
| | |
| Commas: 99/98, 243/242 | | Commas: 99/98, 243/242 |
| Related temperament: [[xenharmonic/Meantone family|squares]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/7 = 425.244 | | Related temperament: [[Meantone_family|squares]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~9/7 = 425.244 |
| | |
| | [[Gencom|Gencom]]: [2 9/7; 99/98 243/242] |
|
| |
|
| [[Gencom]]: [2 9/7; 99/98 243/242]
| |
| Gencom map: [<1 3 0 6 7|, <0 -4 0 -9 -10|] | | Gencom map: [<1 3 0 6 7|, <0 -4 0 -9 -10|] |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|] | | Map: [<1 3 6 7|, <0 -4 -9 -10|] |
| | |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd | | EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.099 cents
| |
|
| |
|
| [[image:skwares_206edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.099 cents |
| | |
| | [[File:skwares_206edo.png|alt=skwares_206edo.png|skwares_206edo.png]] |
| | |
| | [[skwares8|Eight note albitonic scale]] |
| | |
| | [[skwares11|Eleven note mega albitonic scale]] |
|
| |
|
| [[xenharmonic/skwares8|Eight note albitonic scale]] | | [[skwares14|Fourteen note chromatic scale]] |
| [[xenharmonic/skwares11|Eleven note mega albitonic scale]]
| |
| [[xenharmonic/skwares14|Fourteen note chromatic scale]]
| |
|
| |
|
| =Orwell= | | =Orwell= |
| Group: 2.3.5.7.11 | | Group: 2.3.5.7.11 |
| | |
| Commas: 99/98, 121/120, 176/175 | | Commas: 99/98, 121/120, 176/175 |
| | |
| Val name: 9&22 | | Val name: 9&22 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~7/6 = 271.426 | | [[Tp_tuning|POT2 generator]]: ~7/6 = 271.426 |
| | |
| | [[Gencom|Gencom]]: [2 7/6; 99/98 121/120 176/175] |
|
| |
|
| [[Gencom]]: [2 7/6; 99/98 121/120 176/175]
| |
| Gencom map: [<1 0 3 1 3|, <0 7 -3 8 2|] | | Gencom map: [<1 0 3 1 3|, <0 7 -3 8 2|] |
|
| |
|
| Map: [<1 0 3 1 3|, <0 7 -3 8 2|] | | Map: [<1 0 3 1 3|, <0 7 -3 8 2|] |
| | |
| EDOs: 9, 22, 31, 53, 84e | | EDOs: 9, 22, 31, 53, 84e |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.151 cents
| |
|
| |
|
| [[image:xenharmonic/orwell_84edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.151 cents |
|
| |
|
| [[xenharmonic/orwell5|Five note haplotonic scale]] | | [[File:orwell_84edo.png|alt=orwell_84edo.png|orwell_84edo.png]] |
| [[xenharmonic/orwell9|Nine note albitonic scale]]
| |
| [[xenharmonic/orwell13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Magicaltet= | | [[orwell5|Five note haplotonic scale]] |
| | |
| | [[orwell9|Nine note albitonic scale]] |
| | |
| | [[orwell13|Thirteen note chromatic scale]] |
| | |
| | =Magicaltet= |
| Group: 2.5/3.7.11 | | Group: 2.5/3.7.11 |
| | |
| Commas: 100/99, 385/384 | | Commas: 100/99, 385/384 |
| | |
| Related temperaments: 4&7&15, superkleismic, magic | | Related temperaments: 4&7&15, superkleismic, magic |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~6/5 = 322.659 | | [[Tp_tuning|POT2 generator]]: ~6/5 = 322.659 |
| | |
| | [[Gencom|Gencom]]: [2 6/5; 100/99 385/384] |
|
| |
|
| [[Gencom]]: [2 6/5; 100/99 385/384]
| |
| Gencom map: [<1 -1/2 1/2 2 4|, <0 1/2 -1/2 3 -2|] | | Gencom map: [<1 -1/2 1/2 2 4|, <0 1/2 -1/2 3 -2|] |
|
| |
|
| Map: [<1 0 5 2|, <0 1 -3 2|] | | Map: [<1 0 5 2|, <0 1 -3 2|] |
| | |
| EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd | | EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.206 cents
| |
|
| |
|
| [[xenharmonic/magicaltet7|Seven note albitonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.206 cents |
| [[xenharmonic/magicaltet11|Eleven note chromatic scale]] | | |
| [[xenharmonic/magicaltet15|Fifteen note mega scale]] | | [[magicaltet7|Seven note albitonic scale]] |
| | |
| | [[magicaltet11|Eleven note chromatic scale]] |
| | |
| | [[magicaltet15|Fifteen note mega scale]] |
|
| |
|
| =Magic= | | =Magic= |
| Group: 2.3.5.7.11 | | Group: 2.3.5.7.11 |
| | |
| Commas: 100/99, 225/224, 245/243 | | Commas: 100/99, 225/224, 245/243 |
| | |
| Val name: 19&22 | | Val name: 19&22 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~5/4 = 380.696 | | [[Tp_tuning|POT2 generator]]: ~5/4 = 380.696 |
| | |
| | [[Gencom|Gencom]]: [2 5/4; 100/99 225/224 245/243] |
|
| |
|
| [[Gencom]]: [2 5/4; 100/99 225/224 245/243]
| |
| Gencom map: [<1 0 2 -1 6|, <0 5 1 12 -8|] | | Gencom map: [<1 0 2 -1 6|, <0 5 1 12 -8|] |
|
| |
|
| Map: [<1 0 2 -1 6|, <0 5 1 12 -8|] | | Map: [<1 0 2 -1 6|, <0 5 1 12 -8|] |
| | |
| EDOs: 19, 22, 41, 104, 145 | | EDOs: 19, 22, 41, 104, 145 |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.226 cents
| |
|
| |
|
| [[image:xenharmonic/magic_145edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.226 cents |
| | |
| | [[File:magic_145edo.jpg|alt=magic_145edo.jpg|magic_145edo.jpg]] |
|
| |
|
| [[xenharmonic/magic7|Seven note haplotonic scale]] | | [[magic7|Seven note haplotonic scale]] |
| [[xenharmonic/magic10|Ten note albitonic scale]]
| |
| [[xenharmonic/magic13|Thirteen note chromatic scale]]
| |
| [[xenharmonic/magic16|Sixteen note mega chromatic scale]]
| |
|
| |
|
| ==Music==
| | [[magic10|Ten note albitonic scale]] |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]]</span> [[@http://www.chrisvaisvil.com/|Chris Vaisvil]]
| |
|
| |
|
| =Kiribati= | | [[magic13|Thirteen note chromatic scale]] |
| | |
| | [[magic16|Sixteen note mega chromatic scale]] |
| | |
| | ==Music== |
| | <span style="">[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3 Chromatic piece in magic 16]</span> [http://www.chrisvaisvil.com/ Chris Vaisvil] |
| | |
| | =Kiribati= |
| Subgroup: 2.9/5.7/3.11/9 | | Subgroup: 2.9/5.7/3.11/9 |
| | |
| Commas: 100/99, 245/242 | | Commas: 100/99, 245/242 |
| Related temperament: [[Octagar family|nakika]], octacot
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~21/20 = 87.892 | | Related temperament: [[Octagar_family|nakika]], octacot |
| | |
| | [[Tp_tuning|POT2 generator]]: ~21/20 = 87.892 |
| | |
| | [[Gencom|Gencom]]: [2 21/20; 100/99 245/242] |
|
| |
|
| [[Gencom]]: [2 21/20; 100/99 245/242]
| |
| Gencom map: [<1 1/10 -4/5 11/10 1/5|, <0 -3/2 -1 3/2 1|] | | Gencom map: [<1 1/10 -4/5 11/10 1/5|, <0 -3/2 -1 3/2 1|] |
|
| |
|
| Map: [<1 1 1 0|, <0 -2 3 4|] | | Map: [<1 1 1 0|, <0 -2 3 4|] |
| | |
| EDOs: 13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd | | EDOs: 13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.245 cents
| |
|
| |
|
| [[xenharmonic/kiribati13|Thirteen note chromatic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.245 cents |
| [[xenharmonic/kiribati14|Fourteen note chromatic scale]]
| |
|
| |
|
| =Score= | | [[kiribati13|Thirteen note chromatic scale]] |
| | |
| | [[kiribati14|Fourteen note chromatic scale]] |
| | |
| | =Score= |
| Subgroup: 2.7.11.13 | | Subgroup: 2.7.11.13 |
| | |
| Commas: 343/338, 847/832 | | Commas: 343/338, 847/832 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~11/8 = 540.099 | | [[Tp_tuning|POT2 generator]]: ~11/8 = 540.099 |
| | |
| | [[Gencom|Gencom]]: [2 11/8; 343/338 847/832] |
|
| |
|
| [[Gencom]]: [2 11/8; 343/338 847/832]
| |
| Gencom map: [<1 0 0 1 3 1|, <0 0 0 4 1 6|] | | Gencom map: [<1 0 0 1 3 1|, <0 0 0 4 1 6|] |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|] | | Map: [<1 1 3 1|, <0 4 1 6|] |
| | |
| EDOs: 5, 7, 9, 11, 20 | | EDOs: 5, 7, 9, 11, 20 |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.282 cents
| |
|
| |
|
| [[image:xenharmonic/score_20edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.282 cents |
| | |
| | [[File:score_20edo.jpg|alt=score_20edo.jpg|score_20edo.jpg]] |
| | |
| | [[score5|Five note haplotonic scale]] |
| | |
| | [[score7|Seven note albitonic scale]] |
| | |
| | [[score9|Nine note mega albitonic scale]] |
|
| |
|
| [[xenharmonic/score5|Five note haplotonic scale]] | | [[score11|Eleven note chromatic scale]] |
| [[xenharmonic/score7|Seven note albitonic scale]]
| |
| [[xenharmonic/score9|Nine note mega albitonic scale]]
| |
| [[xenharmonic/score11|Eleven note chromatic scale]]
| |
|
| |
|
| =Sensation= | | =Sensation= |
| Group: 2.3.5.7.13 | | Group: 2.3.5.7.13 |
| | |
| Commas: 91/90, 126/125, 169/168 | | Commas: 91/90, 126/125, 169/168 |
| | |
| Related temperaments: Sensi, Sensis, Sensus | | Related temperaments: Sensi, Sensis, Sensus |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/7 = 443.322 | | [[Tp_tuning|POT2 generator]]: ~9/7 = 443.322 |
| | |
| | [[Gencom|Gencom]]: [2 9/7; 91/90 126/125 169/168] |
|
| |
|
| [[Gencom]]: [2 9/7; 91/90 126/125 169/168]
| |
| Gencom map: [<1 -1 -1 -2 0 0|, <0 7 9 13 0 10|] | | Gencom map: [<1 -1 -1 -2 0 0|, <0 7 9 13 0 10|] |
|
| |
|
| Map: [<1 6 8 11 10|, <0 -7 -9 -13 -10|] | | Map: [<1 6 8 11 10|, <0 -7 -9 -13 -10|] |
| | |
| EDOs: 19, 27, 46, 111de, 157de | | EDOs: 19, 27, 46, 111de, 157de |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.321 cents
| |
|
| |
|
| [[xenharmonic/sensi5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.321 cents |
| [[xenharmonic/sensi8|Eight note albitonic scale]]
| |
| [[xenharmonic/sensi11|Eleven note mega albitonic scale]]
| |
| [[xenharmonic/sensi19|Nineteen note chromatic scale]]
| |
|
| |
|
| =Sensi= | | [[sensi5|Five note haplotonic scale]] |
| | |
| | [[sensi8|Eight note albitonic scale]] |
| | |
| | [[sensi11|Eleven note mega albitonic scale]] |
| | |
| | [[sensi19|Nineteen note chromatic scale]] |
| | |
| | =Sensi= |
| Group: 2.3.5.7 | | Group: 2.3.5.7 |
| | |
| Commas: 126/125, 245/243 | | Commas: 126/125, 245/243 |
| | |
| Val name: 19&27 | | Val name: 19&27 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/7 = 443.383 | | [[Tp_tuning|POT2 generator]]: ~9/7 = 443.383 |
| | |
| | [[Gencom|Gencom]]: [2 9/7; 126/125 245/243] |
|
| |
|
| [[Gencom]]: [2 9/7; 126/125 245/243]
| |
| Gencom map: [<1 -1 -1 -2|, <0 7 9 13|] | | Gencom map: [<1 -1 -1 -2|, <0 7 9 13|] |
|
| |
|
| Map: [<1 6 8 11|, <0 -7 -9 -13|] | | Map: [<1 6 8 11|, <0 -7 -9 -13|] |
| | |
| EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd | | EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.323 cents
| |
|
| |
|
| [[image:xenharmonic/sensi_46edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.323 cents |
| | |
| | [[File:sensi_46edo.jpg|alt=sensi_46edo.jpg|sensi_46edo.jpg]] |
| | |
| | [[sensi5|Five note haplotonic scale]] |
| | |
| | [[sensi8|Eight note albitonic scale]] |
| | |
| | [[sensi11|Eleven note mega albitonic scale]] |
|
| |
|
| [[xenharmonic/sensi5|Five note haplotonic scale]] | | [[sensi19|Nineteen note chromatic scale]] |
| [[xenharmonic/sensi8|Eight note albitonic scale]]
| |
| [[xenharmonic/sensi11|Eleven note mega albitonic scale]]
| |
| [[xenharmonic/sensi19|Nineteen note chromatic scale]]
| |
|
| |
|
| =Meantone= | | =Meantone= |
| Group: 2.3.5.7 | | Group: 2.3.5.7 |
| | |
| Commas: 81/80, 126/125 | | Commas: 81/80, 126/125 |
| | |
| Val name: 12&19 | | Val name: 12&19 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~3/2 = 696.495 | | [[Tp_tuning|POT2 generator]]: ~3/2 = 696.495 |
| | |
| | [[Gencom|Gencom]]: [2 3/2; 81/80 126/125] |
|
| |
|
| [[Gencom]]: [2 3/2; 81/80 126/125]
| |
| Gencom map: [<1 1 0 -3|, <0 1 4 10|] | | Gencom map: [<1 1 0 -3|, <0 1 4 10|] |
|
| |
|
| Map: [<1 0 -4 -13|, <0 1 4 10|] | | Map: [<1 0 -4 -13|, <0 1 4 10|] |
| | |
| EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b | | EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.382 cents
| |
|
| |
|
| [[image:meantone_31edo.jpg]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.382 cents |
|
| |
|
| [[xenharmonic/meantone5|Five note haplotonic scale]] | | [[File:meantone_31edo.jpg|alt=meantone_31edo.jpg|meantone_31edo.jpg]] |
| [[xenharmonic/meantone7|Seven note albitonic scale]]
| |
| [[xenharmonic/meantone12|Twelve note chromatic scale]]
| |
|
| |
|
| =Mohaha= | | [[meantone5|Five note haplotonic scale]] |
| | |
| | [[meantone7|Seven note albitonic scale]] |
| | |
| | [[meantone12|Twelve note chromatic scale]] |
| | |
| | =Mohaha= |
| Subgroup: 2.3.5.11 | | Subgroup: 2.3.5.11 |
| | |
| Commas: 81/80, 121/120 | | Commas: 81/80, 121/120 |
| Related temperament: [[xenharmonic/Meantone family|mohajira]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~11/9 = 348.094 | | Related temperament: [[Meantone_family|mohajira]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~11/9 = 348.094 |
| | |
| | [[Gencom|Gencom]]: [2 11/9; 81/80 121/120] |
|
| |
|
| [[Gencom]]: [2 11/9; 81/80 121/120]
| |
| Gencom map: [<1 1 0 0 2|, <[0 2 8 0 5|] | | Gencom map: [<1 1 0 0 2|, <[0 2 8 0 5|] |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|] | | Map: [<1 1 0 2|, <0 2 8 5|] |
| | |
| EDOs: 24, 31, 55, 69d, 100d, 131bd | | EDOs: 24, 31, 55, 69d, 100d, 131bd |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.392 cents
| |
|
| |
|
| [[image:mohaha_131edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.392 cents |
| | |
| | [[File:mohaha_131edo.png|alt=mohaha_131edo.png|mohaha_131edo.png]] |
| | |
| | [[mohaha7|Seven note albitonic scale]] |
|
| |
|
| [[xenharmonic/mohaha7|Seven note albitonic scale]] | | [[mohaha10|Ten note chromatic scale]] |
| [[xenharmonic/mohaha10|Ten note chromatic scale]]
| |
|
| |
|
| ==Music== | | ==Music== |
| [[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]] by [[Billy Stiltner]]
| | [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 Mohaha10ping2] by [[Billy_Stiltner|Billy Stiltner]] |
|
| |
|
| =Joan= | | =Joan= |
| Subgroup: 2.9.7.11 | | Subgroup: 2.9.7.11 |
| | |
| Commas: 99/98, 9317/9216 | | Commas: 99/98, 9317/9216 |
| | |
| Related temperaments: casablanca, orwell | | Related temperaments: casablanca, orwell |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~11/8 = 542.672 cents | | [[Tp_tuning|POT2 generator]]: ~11/8 = 542.672 cents |
|
| |
|
| Gencom: [2 11/8; 99/98 9317/9216] | | Gencom: [2 11/8; 99/98 9317/9216] |
| | |
| Gencom map: [<1 0 0 1 3|, <0 7/2 0 4 1|] | | Gencom map: [<1 0 0 1 3|, <0 7/2 0 4 1|] |
|
| |
|
| Map: [<1 0 1 3|, <0 7 4 1|] | | Map: [<1 0 1 3|, <0 7 4 1|] |
| | |
| EDOs: 11, 20, 31, 42, 115bd, 157bd | | EDOs: 11, 20, 31, 42, 115bd, 157bd |
|
| |
|
| [[Tp tuning#T2%20tuning|RMS error]]: 1.424 cents | | [[Tp_tuning#T2 tuning|RMS error]]: 1.424 cents |
|
| |
|
| [[xenharmonic/joan5|Five note haplotonic scale]] | | [[joan5|Five note haplotonic scale]] |
| [[xenharmonic/joan7|Seven note albitonic scale]]
| |
| [[xenharmonic/joan9|Nine note mega albitonic scale]]
| |
| [[xenharmonic/joan11|Eleven note chromatic scale]]
| |
|
| |
|
| =Tutone= | | [[joan7|Seven note albitonic scale]] |
| | |
| | [[joan9|Nine note mega albitonic scale]] |
| | |
| | [[joan11|Eleven note chromatic scale]] |
| | |
| | =Tutone= |
| Subgroup: 2.9.5.7.11 | | Subgroup: 2.9.5.7.11 |
| | |
| Commas: 81/80, 99/98, 126/125 | | Commas: 81/80, 99/98, 126/125 |
| Related temperaments: [[xenharmonic/Meantone family|meantone]], [[Hemimean family#Belobog|belobog]], hemithirds, hemiwürschmidt
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/8 = 193.937 | | Related temperaments: [[Meantone_family|meantone]], [[Hemimean_family#Belobog|belobog]], hemithirds, hemiwürschmidt |
| | |
| | [[Tp_tuning|POT2 generator]]: ~9/8 = 193.937 |
| | |
| | [[Gencom|Gencom]]: [2 9/8; 81/80 99/98 126/125] |
|
| |
|
| [[Gencom]]: [2 9/8; 81/80 99/98 126/125]
| |
| Gencom map: [<1 3/2 2 2 2|, <0 1/2 2 5 9|] | | Gencom map: [<1 3/2 2 2 2|, <0 1/2 2 5 9|] |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|] | | Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|] |
| | |
| EDOs: 25, 31, 68b, 99b | | EDOs: 25, 31, 68b, 99b |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.439 cents
| |
|
| |
|
| [[xenharmonic/tutone6|Six note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.439 cents |
| [[xenharmonic/tutone7|Seven note albitonic scale]] | | |
| [[xenharmonic/tutone13|Thirteen note chromatic scale]]
| | [[tutone6|Six note haplotonic scale]] |
| | |
| | [[tutone7|Seven note albitonic scale]] |
|
| |
|
| [[image:tutone_99edo.png]] | | [[tutone13|Thirteen note chromatic scale]] |
|
| |
|
| =Stacks= | | [[File:tutone_99edo.png|alt=tutone_99edo.png|tutone_99edo.png]] |
| | |
| | =Stacks= |
| Subgroup: 2.9.15.7.11.13 | | Subgroup: 2.9.15.7.11.13 |
| | |
| Commas: 100/99, 105/104, 144/143, 196/195 | | Commas: 100/99, 105/104, 144/143, 196/195 |
| Related temperament: [[Magic family#Magic-13-limit|magic]] | | |
| | Related temperament: [[Magic_family#Magic-13-limit|magic]] |
| | |
| Svalname: 11&30 | | Svalname: 11&30 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/7 = 439.146 | | [[Tp_tuning|POT2 generator]]: ~9/7 = 439.146 |
| | |
| | [[Gencom|Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195] |
|
| |
|
| [[Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
| |
| Gencom map: [<1 5/2 5/2 5 2 7|, <0 -5/2 -1/2 -6 4 -9|] | | Gencom map: [<1 5/2 5/2 5 2 7|, <0 -5/2 -1/2 -6 4 -9|] |
|
| |
|
| Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|] | | Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|] |
| | |
| EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef | | EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.540 cents
| |
|
| |
|
| [[xenharmonic/stacks5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.540 cents |
| [[xenharmonic/stacks8|Eight note albitonic scale]] | | |
| [[xenharmonic/stacks11|Eleven note note chromatic scale]] | | [[stacks5|Five note haplotonic scale]] |
| [[xenharmonic/stacks19|Nineteen note note mega chromatic scale]] | | |
| | [[stacks8|Eight note albitonic scale]] |
| | |
| | [[stacks11|Eleven note note chromatic scale]] |
| | |
| | [[stacks19|Nineteen note note mega chromatic scale]] |
|
| |
|
| =Bleu= | | =Bleu= |
| Group: 2.3.7.11.13 | | Group: 2.3.7.11.13 |
| | |
| Commas: 78/77, 99/98, 144/143 | | Commas: 78/77, 99/98, 144/143 |
| | |
| Sval name: 9&17 | | Sval name: 9&17 |
|
| |
|
| [[Tp tuning|POL2 generator]]: ~13/12 = 139.990 | | [[Tp_tuning|POL2 generator]]: ~13/12 = 139.990 |
| | |
| | [[Gencom|Gencom]]: [2 13/12; 78/77 99/98 144/143] |
|
| |
|
| [[Gencom]]: [2 13/12; 78/77 99/98 144/143]
| |
| Gencom map: [<1 1 0 2 3 3|, <0 5 0 7 4 6|] | | Gencom map: [<1 1 0 2 3 3|, <0 5 0 7 4 6|] |
|
| |
|
| Map: [<1 1 2 3 3|, <0 5 7 4 6|] | | Map: [<1 1 2 3 3|, <0 5 7 4 6|] |
| EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
| |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.752 cents
| |
|
| |
|
| [[image:blue_60edo.png]] | | EDOs: [[17edo|17]], [[43edo|43]], [[60edo|60c]] |
|
| |
|
| [[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.752 cents |
| [[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| [[http://micro.soonlabel.com/temperaments/Bleu/20131103_2-11-13-subgroup-Bleu17_a-well-worn-riff.mp3|On a Well Worn Riff (Bleu 17)]] by [[http://chrisvaisvil.com/on-a-well-worn-riff-bleu-17/|Chris Vaisvil]] | | [[File:blue_60edo.png|alt=blue_60edo.png|blue_60edo.png]] |
|
| |
|
| =Sephiroth= | | [[bleu8|bleu8]] - Eight note [[haplotonic_scale|haplotonic scale]] |
| | |
| | [[bleu9|bleu9]] - Nine note [[albitonic_scale|albitonic scale]] |
| | |
| | [[bleu17|bleu17]] - Seventeen note [[chromatic_scale|chromatic scale]] |
| | |
| | [http://micro.soonlabel.com/temperaments/Bleu/20131103_2-11-13-subgroup-Bleu17_a-well-worn-riff.mp3 On a Well Worn Riff (Bleu 17)] by [http://chrisvaisvil.com/on-a-well-worn-riff-bleu-17/ Chris Vaisvil] |
| | |
| | =Sephiroth= |
| Subgroup: 2.5.11.13.17 | | Subgroup: 2.5.11.13.17 |
| | |
| Commas: 65/64, 170/169, 221/220 | | Commas: 65/64, 170/169, 221/220 |
| | |
| Related temperament: muggles | | Related temperament: muggles |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~5/4 = 372.236 | | [[Tp_tuning|POT2 generator]]: ~5/4 = 372.236 |
| | |
| | [[Gencom|Gencom]]: [2 5/4; 65/64 170/169 221/220] |
|
| |
|
| [[Gencom]]: [2 5/4; 65/64 170/169 221/220]
| |
| Gencom map: [<1 0 2 0 5 4 5|, <0 0 1 0 -5 -1 -3|] | | Gencom map: [<1 0 2 0 5 4 5|, <0 0 1 0 -5 -1 -3|] |
|
| |
|
| Map: [<1 0 15 6 11|, <0 1 -5 -1 -3|] | | Map: [<1 0 15 6 11|, <0 1 -5 -1 -3|] |
| | |
| EDOs: 10, 13, 16, 29c | | EDOs: 10, 13, 16, 29c |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.774 cents
| |
|
| |
|
| [[xenharmonic/sephiroth7|Seven note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.774 cents |
| [[xenharmonic/sephiroth10|Ten note albitonic scale]] | | |
| [[xenharmonic/sephiroth13|Thirteen note chromatic scale]] | | [[sephiroth7|Seven note haplotonic scale]] |
| [[xenharmonic/sephiroth16|Sixteen note mega chromatic scale]] | | |
| | [[sephiroth10|Ten note albitonic scale]] |
| | |
| | [[sephiroth13|Thirteen note chromatic scale]] |
| | |
| | [[sephiroth16|Sixteen note mega chromatic scale]] |
|
| |
|
| =Archy= | | =Archy= |
| Subgroup: 2.3.7 | | Subgroup: 2.3.7 |
| | |
| Comma: 64/63 | | Comma: 64/63 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~3/2 = 709.321 | | [[Tp_tuning|POT2 generator]]: ~3/2 = 709.321 |
|
| |
|
| Gencom: [2 3/2; 64/63] | | Gencom: [2 3/2; 64/63] |
| | |
| Gencom mapping: [<1 1 0 4|, <0 1 0 -2|] | | Gencom mapping: [<1 1 0 4|, <0 1 0 -2|] |
|
| |
|
| Map: [<1 2 2|, <0 -1 2|] | | Map: [<1 2 2|, <0 -1 2|] |
| | |
| EDOs: 5, 12, 17, 22, 27, 137bc | | EDOs: 5, 12, 17, 22, 27, 137bc |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.856 cents
| |
|
| |
|
| [[xenharmonic/archy5|Five note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.856 cents |
| [[xenharmonic/archy7|Seven note albitonic scale]]
| |
| [[xenharmonic/archy12|Twelve note chromatic scale]]
| |
|
| |
|
| =Suhajira= | | [[archy5|Five note haplotonic scale]] |
| | |
| | [[archy7|Seven note albitonic scale]] |
| | |
| | [[archy12|Twelve note chromatic scale]] |
| | |
| | =Suhajira= |
| Subgroup: 2.3.7.11 | | Subgroup: 2.3.7.11 |
| | |
| Commas: 64/63, 243/242 | | Commas: 64/63, 243/242 |
|
| |
|
| [[Tp tuning|POL2 generator]]: ~11/9 = 353.958 | | [[Tp_tuning|POL2 generator]]: ~11/9 = 353.958 |
| | |
| | [[Gencom|Gencom]]: [2 11/9; 64/63 243/242] |
|
| |
|
| [[Gencom]]: [2 11/9; 64/63 243/242]
| |
| Gencom map: [<1 1 0 4 2|, <0 2 0 -4 5|] | | Gencom map: [<1 1 0 4 2|, <0 2 0 -4 5|] |
|
| |
|
| Map: [<1 1 4 2|, <0 2 -4 5|] | | Map: [<1 1 4 2|, <0 2 -4 5|] |
| | |
| EDOs: 7, 10, 17, 61de | | EDOs: 7, 10, 17, 61de |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.968 cents
| |
|
| |
|
| [[suhajira7]] - Seven note [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.968 cents |
| [[suhajira10]] - Ten note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[suhajira17]] - note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Mohoho= | | [[suhajira7|suhajira7]] - Seven note [[haplotonic_scale|haplotonic scale]] |
| | |
| | [[suhajira10|suhajira10]] - Ten note [[albitonic_scale|albitonic scale]] |
| | |
| | [[suhajira17|suhajira17]] - note [[chromatic_scale|chromatic scale]] |
| | |
| | =Mohoho= |
| Subgroup: 2.3.5.11.13 | | Subgroup: 2.3.5.11.13 |
| | |
| Commas: 66/65, 81/80, 121/120 | | Commas: 66/65, 81/80, 121/120 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~11/9 = 348.916 | | [[Tp_tuning|POT2 generator]]: ~11/9 = 348.916 |
| | |
| | [[Gencom|Gencom]]: [2 11/9; 66/65 81/80 121/120] |
|
| |
|
| [[Gencom]]: [2 11/9; 66/65 81/80 121/120]
| |
| Gencom map: [<1 1 0 0 2 4|, <0 2 8 0 5 -1|] | | Gencom map: [<1 1 0 0 2 4|, <0 2 8 0 5 -1|] |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|] | | Map: [<1 1 0 2 4|, <0 2 8 5 -1|] |
| | |
| EDOs: 17c, 24, 31, 55, 86de, 141cde | | EDOs: 17c, 24, 31, 55, 86de, 141cde |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.971 cents
| |
|
| |
|
| =Supra= | | [[Tp_tuning#T2 tuning|RMS error]]: 1.971 cents |
| | |
| | =Supra= |
| Subgroup: 2.3.7.11 | | Subgroup: 2.3.7.11 |
| | |
| Commas: 64/63, 99/98 | | Commas: 64/63, 99/98 |
| Related temperament: [[xenharmonic/suprapyth|suprapyth]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~3/2 = 707.192 | | Related temperament: [[Suprapyth|suprapyth]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~3/2 = 707.192 |
| | |
| | [[Gencom|Gencom]]: [2 3/2; 64/63 99/98] |
|
| |
|
| [[Gencom]]: [2 3/2; 64/63 99/98]
| |
| Gencom map: [<1 1 0 4 7|, <0 1 0 -2 -6|] | | Gencom map: [<1 1 0 4 7|, <0 1 0 -2 -6|] |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|] | | Map: [<1 0 6 13|, <0 1 -2 -6|] |
| | |
| EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c | | EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.977 cents
| |
|
| |
|
| [[image:supra_56edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.977 cents |
|
| |
|
| [[xenharmonic/supra7|Seven note albitonic scale]] | | [[File:supra_56edo.png|alt=supra_56edo.png|supra_56edo.png]] |
| [[xenharmonic/supra12|Twelve note chromatic scale]]
| |
|
| |
|
| =Machine= | | [[supra7|Seven note albitonic scale]] |
| | |
| | [[supra12|Twelve note chromatic scale]] |
| | |
| | =Machine= |
| Subgroup: 2.9.7.11 | | Subgroup: 2.9.7.11 |
| | |
| Commas: 64/63, 99/98 | | Commas: 64/63, 99/98 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/8 = 214.384 | | [[Tp_tuning|POT2 generator]]: ~9/8 = 214.384 |
| | |
| | [[Gencom|Gencom]]: [2 9/8; 64/63 99/98] |
|
| |
|
| [[Gencom]]: [2 9/8; 64/63 99/98]
| |
| Gencom map: [<1 3/2 0 3 4|, <0 1/2 0 -1 -3|] | | Gencom map: [<1 3/2 0 3 4|, <0 1/2 0 -1 -3|] |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|] | | Map: [<1 0 6 13|, <0 1 -1 -3|] |
| | |
| EDOs: 5, 6, 11, 17, 28 | | EDOs: 5, 6, 11, 17, 28 |
| [[Tp tuning#T2%20tuning|RMS error]]: 1.977 cents
| |
|
| |
|
| [[image:machine_28edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 1.977 cents |
| | |
| | [[File:machine_28edo.png|alt=machine_28edo.png|machine_28edo.png]] |
|
| |
|
| [[xenharmonic/machine5|Five note haplotonic scale]] | | [[machine5|Five note haplotonic scale]] |
| [[xenharmonic/machine6|Six note albitonic scale]]
| |
| [[xenharmonic/machine11|Eleven note chromatic scale]]
| |
|
| |
|
| =Deutone= | | [[machine6|Six note albitonic scale]] |
| | |
| | [[machine11|Eleven note chromatic scale]] |
| | |
| | =Deutone= |
| Subgroup: 2.9.5.7.13 | | Subgroup: 2.9.5.7.13 |
| | |
| Commas: 65/64, 81/80, 91/90 | | Commas: 65/64, 81/80, 91/90 |
| Related temperament: [[xenharmonic/Meantone family|meanpop]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/8 = 191.059 | | Related temperament: [[Meantone_family|meanpop]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~9/8 = 191.059 |
| | |
| | [[Gencom|Gencom]]: [2 9/8; 65/64 81/80 91/90] |
|
| |
|
| [[Gencom]]: [2 9/8; 65/64 81/80 91/90]
| |
| Gencom map: [<1 3/2 2 2 0 4|, <0 1/2 2 5 0 -2|] | | Gencom map: [<1 3/2 2 2 0 4|, <0 1/2 2 5 0 -2|] |
|
| |
|
| Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|] | | Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|] |
| | |
| EDOs: 6, 7, 13, 19, 25e, 44de | | EDOs: 6, 7, 13, 19, 25e, 44de |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.003 cents
| |
|
| |
|
| [[image:deutone_44edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 2.003 cents |
| | |
| | [[File:deutone_44edo.png|alt=deutone_44edo.png|deutone_44edo.png]] |
| | |
| | [[deutone6|Six note haplotonic scale]] |
| | |
| | [[deutone7|seven note albitonic scale]] |
|
| |
|
| [[xenharmonic/deutone6|Six note haplotonic scale]] | | [[deutone13|Thirteen note chromatic scale]] |
| [[xenharmonic/deutone7|seven note albitonic scale]]
| |
| [[xenharmonic/deutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Supraphon= | | =Supraphon= |
| Subgroup: 2.3.7.11.13 | | Subgroup: 2.3.7.11.13 |
| | |
| Commas: 64/63, 78/77, 99/98 | | Commas: 64/63, 78/77, 99/98 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~3/2 = 706.137 | | [[Tp_tuning|POT2 generator]]: ~3/2 = 706.137 |
| | |
| | [[Gencom|Gencom]]: [2 3/2; 64/63 78/77 99/98] |
|
| |
|
| [[Gencom]]: [2 3/2; 64/63 78/77 99/98]
| |
| Gencom map: [<1 1 0 4 7 9|, <0 1 0 -2 -6 -9|] | | Gencom map: [<1 1 0 4 7 9|, <0 1 0 -2 -6 -9|] |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|] | | Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|] |
| | |
| EDOs: 5, 7, 12, 17 | | EDOs: 5, 7, 12, 17 |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.095 cents
| |
|
| |
|
| =Negra= | | [[Tp_tuning#T2 tuning|RMS error]]: 2.095 cents |
| | |
| | =Negra= |
| Subgroup: 2.3.5.7.13 | | Subgroup: 2.3.5.7.13 |
| | |
| Commas: 49/48, 65/64, 91/90 | | Commas: 49/48, 65/64, 91/90 |
| Related temperament: [[Marvel temperaments#Negri-13-limit|negri]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~14/13~13/12 = 125.567 cents | | Related temperament: [[Marvel_temperaments#Negri-13-limit|negri]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~14/13~13/12 = 125.567 cents |
| | |
| | [[Gencom|Gencom]]: [2 14/13; |
|
| |
|
| [[Gencom]]: [2 14/13;
| |
| Gencom map: [<1 2 2 3 0 4|, <0 -4 3 -2 0 -3|] | | Gencom map: [<1 2 2 3 0 4|, <0 -4 3 -2 0 -3|] |
|
| |
|
| Map: [<1 2 2 3 4|, <0 -4 3 -2 -3|] | | Map: [<1 2 2 3 4|, <0 -4 3 -2 -3|] |
| | |
| EDOs: 9, 10, 19, 29, 67cd*f, 86cd*f | | EDOs: 9, 10, 19, 29, 67cd*f, 86cd*f |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.147 cents
| |
|
| |
|
| =Porkypine= | | [[Tp_tuning#T2 tuning|RMS error]]: 2.147 cents |
| | |
| | =Porkypine= |
| Subgroup: 2.3.5.11 | | Subgroup: 2.3.5.11 |
| | |
| Commas: 55/54, 100/99 | | Commas: 55/54, 100/99 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~10/9 = 164.078 | | [[Tp_tuning|POT2 generator]]: ~10/9 = 164.078 |
| | |
| | [[Gencom|Gencom]]: [2 10/9; 55/54 100/99] |
|
| |
|
| [[Gencom]]: [2 10/9; 55/54 100/99]
| |
| Gencom map: [<1 2 3 0 4|], <0 -3 -5 0 -4|] | | Gencom map: [<1 2 3 0 4|], <0 -3 -5 0 -4|] |
|
| |
|
| Map: [<1 2 3 4|, <0 3 5 4|] | | Map: [<1 2 3 4|, <0 3 5 4|] |
| | |
| EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd | | EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.287 cents
| |
|
| |
|
| [[xenharmonic/porkypine7|Seven note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 2.287 cents |
| [[xenharmonic/porkypine8|Eight note albitonic scale]] | | |
| [[xenharmonic/porkypine15|Fifteen note chromatic scale]] | | [[porkypine7|Seven note haplotonic scale]] |
| | |
| | [[porkypine8|Eight note albitonic scale]] |
| | |
| | [[porkypine15|Fifteen note chromatic scale]] |
|
| |
|
| =Skateboard= | | =Skateboard= |
| Subgroup: 2.5/3.7/3.11.13/9 | | Subgroup: 2.5/3.7/3.11.13/9 |
| | |
| Commas: 56/55, 91/90, 100/99 | | Commas: 56/55, 91/90, 100/99 |
| Related temperament: [[Starling family#Thrasher-13-limit|thrasher]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~6/5 = 313.842 | | Related temperament: [[Starling_family#Thrasher-13-limit|thrasher]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~6/5 = 313.842 |
| | |
| | [[Gencom|Gencom]]: [2 6/5; 56/55 91/90 100/99] |
|
| |
|
| [[Gencom]]: [2 6/5; 56/55 91/90 100/99]
| |
| Gencom map: [<1 -3/7 4/7 11/7 4 -6/7|, <0 0 -1 -3 -2 2|] | | Gencom map: [<1 -3/7 4/7 11/7 4 -6/7|, <0 0 -1 -3 -2 2|] |
|
| |
|
| Map: [<1 0 -1 2 2|, <0 1 3 2 -2|] | | Map: [<1 0 -1 2 2|, <0 1 3 2 -2|] |
| | |
| EDOs: 11, 15, 19, 23, 42d, 65d | | EDOs: 11, 15, 19, 23, 42d, 65d |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.396 cents
| |
|
| |
|
| [[xenharmonic/skateboard7|Seven note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 2.396 cents |
| [[xenharmonic/skateboard11|Eleven note albitonic scale]]
| |
| [[xenharmonic/skateboard15|Fifteen note chromatic scale]]
| |
|
| |
|
| =Augment= | | [[skateboard7|Seven note haplotonic scale]] |
| | |
| | [[skateboard11|Eleven note albitonic scale]] |
| | |
| | [[skateboard15|Fifteen note chromatic scale]] |
| | |
| | =Augment= |
| Subgroup: 2.5.7.11 | | Subgroup: 2.5.7.11 |
| | |
| Commas: 56/55, 128/125 | | Commas: 56/55, 128/125 |
| Related temperament: [[xenharmonic/Augmented family|augmented]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~8/7 = 228.275 | | Related temperament: [[Augmented_family|augmented]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~8/7 = 228.275 |
| | |
| | [[Gencom|Gencom]]: [5/4 8/7; 56/55 128/125] |
|
| |
|
| [[Gencom]]: [5/4 8/7; 56/55 128/125]
| |
| Gencom map: [<3 0 7 9 11|, <0 0 0 -1 -1|] | | Gencom map: [<3 0 7 9 11|, <0 0 0 -1 -1|] |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|] | | Map: [<3 7 0 2|, <0 0 1 1|] |
| | |
| EDOs: 3, 6, 9, 15, 21 | | EDOs: 3, 6, 9, 15, 21 |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.422 cents
| |
|
| |
|
| [[image:augment_21edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 2.422 cents |
|
| |
|
| [[xenharmonic/augment6|Six note haplotonic scale]] | | [[File:augment_21edo.png|alt=augment_21edo.png|augment_21edo.png]] |
| [[xenharmonic/augment9|Nine note albitonic scale]]
| |
| [[xenharmonic/augment12|Twelve note chromatic scale]]
| |
|
| |
|
| =Semaphore= | | [[augment6|Six note haplotonic scale]] |
| | |
| | [[augment9|Nine note albitonic scale]] |
| | |
| | [[augment12|Twelve note chromatic scale]] |
| | |
| | =Semaphore= |
| Subgroup: 2.3.7 | | Subgroup: 2.3.7 |
| | |
| Comma: 49/48 | | Comma: 49/48 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~7/6 = 250.385 | | [[Tp_tuning|POT2 generator]]: ~7/6 = 250.385 |
| | |
| | [[Gencom|Gencom]]: [2 7/6; 49/48] |
|
| |
|
| [[Gencom]]: [2 7/6; 49/48]
| |
| Gencom map: [<1 2 0 3}, <0 -2 0 -1|] | | Gencom map: [<1 2 0 3}, <0 -2 0 -1|] |
|
| |
|
| Map: [<1 0 2|, <0 2 1|] | | Map: [<1 0 2|, <0 2 1|] |
| | |
| EDOs: 5, 9, 14, 19, 24, 67c, 91c | | EDOs: 5, 9, 14, 19, 24, 67c, 91c |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.523 cents
| |
|
| |
|
| [[image:semaphore_24edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 2.523 cents |
| | |
| | [[File:semaphore_24edo.png|alt=semaphore_24edo.png|semaphore_24edo.png]] |
| | |
| | [[semiphore5|Five note haplotonic scale]] |
| | |
| | [[semiphore9|Nine note albitonic scale]] |
|
| |
|
| [[xenharmonic/semiphore5|Five note haplotonic scale]] | | [[semiphore14|Fourteen note chromatic scale]] |
| [[xenharmonic/semiphore9|Nine note albitonic scale]]
| |
| [[xenharmonic/semiphore14|Fourteen note chromatic scale]]
| |
|
| |
|
| =Kryptonite= | | =Kryptonite= |
| Subgroup: 2.5.7/3.11/3.13/3 | | Subgroup: 2.5.7/3.11/3.13/3 |
| | |
| Commas: 56/55, 78/77, 91/90 | | Commas: 56/55, 78/77, 91/90 |
| Related temperaments: [[Sengic family|krypton]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~13/12 = 132.428 | | Related temperaments: [[Sengic_family|krypton]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~13/12 = 132.428 |
| | |
| | [[Gencom|Gencom]]: [2 13/12; 56/55 78/77 91/90] |
|
| |
|
| [[Gencom]]: [2 13/12; 56/55 78/77 91/90]
| |
| Gencom map: [<1 -5/4 2 -1/4 3/4 3/4|, <0 -1/2 3 3/2 -3/2 1/2|] | | Gencom map: [<1 -5/4 2 -1/4 3/4 3/4|, <0 -1/2 3 3/2 -3/2 1/2|] |
|
| |
|
| Map: [<1 2 1 2 2|, <0 -3 -2 1 -1|] | | Map: [<1 2 1 2 2|, <0 -3 -2 1 -1|] |
| | |
| EDOs: 9, 63, 82bd, 91bde | | EDOs: 9, 63, 82bd, 91bde |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.545 cents | | |
| | [[Tp_tuning#T2 tuning|RMS error]]: 2.545 cents |
|
| |
|
| [[kryptonite9|Nine note albitonic scale]] | | [[kryptonite9|Nine note albitonic scale]] |
| | |
| [[kryptonite10|Ten note albitonic scale]] | | [[kryptonite10|Ten note albitonic scale]] |
| | |
| [[kryptonite19|Nineteen note mega chromatic scale]] | | [[kryptonite19|Nineteen note mega chromatic scale]] |
|
| |
|
| =Oregon= | | =Oregon= |
| Subgroup: 2.9.15.7.11 | | Subgroup: 2.9.15.7.11 |
| | |
| Commas: 55/54, 64/63, 100/99 | | Commas: 55/54, 64/63, 100/99 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~6/5 = 325.495 | | [[Tp_tuning|POT2 generator]]: ~6/5 = 325.495 |
| | |
| | [[Gencom|Gencom]]: [2 6/5; 55/54 64/63 100/99] |
|
| |
|
| [[Gencom]]: [2 6/5; 55/54 64/63 100/99]
| |
| Gencom map: [<1 2 3 2 4|, <0 -3/2 -5/2 3 -2|] | | Gencom map: [<1 2 3 2 4|, <0 -3/2 -5/2 3 -2|] |
|
| |
|
| Map: [<1 1 1 5 2|, <0 3 4 -3 2|] | | Map: [<1 1 1 5 2|, <0 3 4 -3 2|] |
| | |
| EDOs: 7, 11, 37b, 48b, 59b | | EDOs: 7, 11, 37b, 48b, 59b |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.550 cents
| |
|
| |
|
| [[xenharmonic/oregon7|Seven note haplotonic scale]] | | [[Tp_tuning#T2 tuning|RMS error]]: 2.550 cents |
| [[xenharmonic/oregon11|Eleven note albitonic scale]] | | |
| [[xenharmonic/oregon15|Fifteen note chromatic scale]] | | [[oregon7|Seven note haplotonic scale]] |
| | |
| | [[oregon11|Eleven note albitonic scale]] |
| | |
| | [[oregon15|Fifteen note chromatic scale]] |
|
| |
|
| =Antikythera= | | =Antikythera= |
| Subgroup: 2.9.5.7 | | Subgroup: 2.9.5.7 |
| | |
| Commas: 50/49, 64/63 | | Commas: 50/49, 64/63 |
| Related temperament: [[xenharmonic/pajara|pajara]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~8/7 = 214.095 | | Related temperament: [[pajara|pajara]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~8/7 = 214.095 |
| | |
| | [[Gencom|Gencom]]: [7/5 8/7; 50/49 64/63] |
|
| |
|
| [[Gencom]]: [7/5 8/7; 50/49 64/63]
| |
| Gencom map: [<2 3 5 6|, <0 1/2 -1 -1|] | | Gencom map: [<2 3 5 6|, <0 1/2 -1 -1|] |
|
| |
|
| Map: [<2 0 11 12|, <0 1 -1 -1|] | | Map: [<2 0 11 12|, <0 1 -1 -1|] |
| | |
| EDOS: 4, 6, 10, 16, 22, 28 | | EDOS: 4, 6, 10, 16, 22, 28 |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.572 cents
| |
|
| |
|
| [[image:antikythera_28edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 2.572 cents |
|
| |
|
| [[xenharmonic/antikythera6|Six note haplotonic scale]] | | [[File:antikythera_28edo.png|alt=antikythera_28edo.png|antikythera_28edo.png]] |
| [[xenharmonic/antikythera10|Ten note albitonic scale]]
| |
| [[xenharmonic/antikythera16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Glacial= | | [[antikythera6|Six note haplotonic scale]] |
| | |
| | [[antikythera10|Ten note albitonic scale]] |
| | |
| | [[antikythera16|Sixteen note chromatic scale]] |
| | |
| | =Glacial= |
| Subgroup: 2.9.5.11.13 | | Subgroup: 2.9.5.11.13 |
| | |
| Commas: 45/44, 65/64, 81/80 | | Commas: 45/44, 65/64, 81/80 |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/8 = 186.151 | | [[Tp_tuning|POT2 generator]]: ~9/8 = 186.151 |
| | |
| | [[Gencom|Gencom]]: [2 9/8; 45/44 65/64 81/80] |
|
| |
|
| [[Gencom]]: [2 9/8; 45/44 65/64 81/80]
| |
| Gencom map: [<1 3/2 2 0 3 4|, <0 1/2 2 0 3 -2|] | | Gencom map: [<1 3/2 2 0 3 4|, <0 1/2 2 0 3 -2|] |
|
| |
|
| Map: [<1 0 -4 -6 10|, <0 1 2 3 -2|] | | Map: [<1 0 -4 -6 10|, <0 1 2 3 -2|] |
| | |
| EDOs: 6, 13, 45be, 58bce, 71bce, 84bce | | EDOs: 6, 13, 45be, 58bce, 71bce, 84bce |
| [[Tp tuning#T2%20tuning|RMS error]]: 2.887 cents | | |
| | [[Tp_tuning#T2 tuning|RMS error]]: 2.887 cents |
|
| |
|
| [[glacial6|Six note haplotonic scale]] | | [[glacial6|Six note haplotonic scale]] |
| | |
| [[glacial7|Seven note albitonic scale]] | | [[glacial7|Seven note albitonic scale]] |
| | |
| [[glacial13|Thirteen note chromatic scale]] | | [[glacial13|Thirteen note chromatic scale]] |
|
| |
|
| =Leantone= | | =Leantone= |
| Subgroup: 2.9.5.7.11 | | Subgroup: 2.9.5.7.11 |
| | |
| Commas: 45/44, 56/55, 81/80 | | Commas: 45/44, 56/55, 81/80 |
| Related temperament: [[meanenneadecal]]
| |
|
| |
|
| [[Tp tuning|POT2 generator]]: ~9/8 = 192.500 | | Related temperament: [[Meanenneadecal|meanenneadecal]] |
| | |
| | [[Tp_tuning|POT2 generator]]: ~9/8 = 192.500 |
| | |
| | [[Gencom|Gencom]]: [2 9/8; 45/44 56/55 81/80] |
|
| |
|
| [[Gencom]]: [2 9/8; 45/44 56/55 81/80]
| |
| Gencom map: [<1 3/2 2 2 3|, <0 1/2 2 5 3|] | | Gencom map: [<1 3/2 2 2 3|, <0 1/2 2 5 3|] |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|] | | Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|] |
| | |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81 | | EDOs: 6, 7, 13, 19, 25, 31, 56, 81 |
| [[Tp tuning#T2%20tuning|RMS error]]: 3.882 cents
| |
|
| |
|
| [[image:leantone_81edo.png]] | | [[Tp_tuning#T2 tuning|RMS error]]: 3.882 cents |
| | |
| | [[File:leantone_81edo.png|alt=leantone_81edo.png|leantone_81edo.png]] |
| | |
| | [[leantone6|Six note haplotonic scale]] |
| | |
| | [[leantone7|Seven note albitonic scale]] |
|
| |
|
| [[xenharmonic/leantone6|Six note haplotonic scale]] | | [[leantone13|Thirteen note chromatic scale]] [[Category:listen]] |
| [[xenharmonic/leantone7|Seven note albitonic scale]]
| | [[Category:overview]] |
| [[xenharmonic/leantone13|Thirteen note chromatic scale]]</pre></div>
| | [[Category:rank_2]] |
| <h4>Original HTML content:</h4>
| | [[Category:scale]] |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:171:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Barton">Barton</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --> | <a href="#Voltage">Voltage</a><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --> | <a href="#Haumea">Haumea</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> | <a href="#Neuter">Neuter</a><!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --><!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --><!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --> | <a href="#Tobago">Tobago</a><!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --> | <a href="#Wizz">Wizz</a><!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --> | <a href="#Bluebirds">Bluebirds</a><!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --> | <a href="#Edson">Edson</a><!-- ws:end:WikiTextTocRule:197 --><!-- ws:start:WikiTextTocRule:198: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:198 --><!-- ws:start:WikiTextTocRule:199: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:199 --><!-- ws:start:WikiTextTocRule:200: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:200 --><!-- ws:start:WikiTextTocRule:201: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:201 --><!-- ws:start:WikiTextTocRule:202: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:202 --><!-- ws:start:WikiTextTocRule:203: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:203 --><!-- ws:start:WikiTextTocRule:204: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:204 --><!-- ws:start:WikiTextTocRule:205: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:205 --><!-- ws:start:WikiTextTocRule:206: --> | <a href="#Namo">Namo</a><!-- ws:end:WikiTextTocRule:206 --><!-- ws:start:WikiTextTocRule:207: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:207 --><!-- ws:start:WikiTextTocRule:208: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:208 --><!-- ws:start:WikiTextTocRule:209: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:209 --><!-- ws:start:WikiTextTocRule:210: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:210 --><!-- ws:start:WikiTextTocRule:211: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:211 --><!-- ws:start:WikiTextTocRule:212: --><!-- ws:end:WikiTextTocRule:212 --><!-- ws:start:WikiTextTocRule:213: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:213 --><!-- ws:start:WikiTextTocRule:214: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:214 --><!-- ws:start:WikiTextTocRule:215: --> | <a href="#Blackbirds">Blackbirds</a><!-- ws:end:WikiTextTocRule:215 --><!-- ws:start:WikiTextTocRule:216: --> | <a href="#Laz">Laz</a><!-- ws:end:WikiTextTocRule:216 --><!-- ws:start:WikiTextTocRule:217: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:217 --><!-- ws:start:WikiTextTocRule:218: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:218 --><!-- ws:start:WikiTextTocRule:219: --><!-- ws:end:WikiTextTocRule:219 --><!-- ws:start:WikiTextTocRule:220: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:220 --><!-- ws:start:WikiTextTocRule:221: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:221 --><!-- ws:start:WikiTextTocRule:222: --> | <a href="#Sulis">Sulis</a><!-- ws:end:WikiTextTocRule:222 --><!-- ws:start:WikiTextTocRule:223: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:223 --><!-- ws:start:WikiTextTocRule:224: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:224 --><!-- ws:start:WikiTextTocRule:225: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:225 --><!-- ws:start:WikiTextTocRule:226: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:226 --><!-- ws:start:WikiTextTocRule:227: --><!-- ws:end:WikiTextTocRule:227 --><!-- ws:start:WikiTextTocRule:228: --> | <a href="#Kiribati">Kiribati</a><!-- ws:end:WikiTextTocRule:228 --><!-- ws:start:WikiTextTocRule:229: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:229 --><!-- ws:start:WikiTextTocRule:230: --> | <a href="#Sensation">Sensation</a><!-- ws:end:WikiTextTocRule:230 --><!-- ws:start:WikiTextTocRule:231: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:231 --><!-- ws:start:WikiTextTocRule:232: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:232 --><!-- ws:start:WikiTextTocRule:233: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:233 --><!-- ws:start:WikiTextTocRule:234: --><!-- ws:end:WikiTextTocRule:234 --><!-- ws:start:WikiTextTocRule:235: --> | <a href="#Joan">Joan</a><!-- ws:end:WikiTextTocRule:235 --><!-- ws:start:WikiTextTocRule:236: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:236 --><!-- ws:start:WikiTextTocRule:237: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:237 --><!-- ws:start:WikiTextTocRule:238: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:238 --><!-- ws:start:WikiTextTocRule:239: --> | <a href="#Sephiroth">Sephiroth</a><!-- ws:end:WikiTextTocRule:239 --><!-- ws:start:WikiTextTocRule:240: --> | <a href="#Archy">Archy</a><!-- ws:end:WikiTextTocRule:240 --><!-- ws:start:WikiTextTocRule:241: --> | <a href="#Suhajira">Suhajira</a><!-- ws:end:WikiTextTocRule:241 --><!-- ws:start:WikiTextTocRule:242: --> | <a href="#Mohoho">Mohoho</a><!-- ws:end:WikiTextTocRule:242 --><!-- ws:start:WikiTextTocRule:243: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:243 --><!-- ws:start:WikiTextTocRule:244: --> | <a href="#Machine">Machine</a><!-- ws:end:WikiTextTocRule:244 --><!-- ws:start:WikiTextTocRule:245: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:245 --><!-- ws:start:WikiTextTocRule:246: --> | <a href="#Supraphon">Supraphon</a><!-- ws:end:WikiTextTocRule:246 --><!-- ws:start:WikiTextTocRule:247: --> | <a href="#Negra">Negra</a><!-- ws:end:WikiTextTocRule:247 --><!-- ws:start:WikiTextTocRule:248: --> | <a href="#Porkypine">Porkypine</a><!-- ws:end:WikiTextTocRule:248 --><!-- ws:start:WikiTextTocRule:249: --> | <a href="#Skateboard">Skateboard</a><!-- ws:end:WikiTextTocRule:249 --><!-- ws:start:WikiTextTocRule:250: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:250 --><!-- ws:start:WikiTextTocRule:251: --> | <a href="#Semaphore">Semaphore</a><!-- ws:end:WikiTextTocRule:251 --><!-- ws:start:WikiTextTocRule:252: --> | <a href="#Kryptonite">Kryptonite</a><!-- ws:end:WikiTextTocRule:252 --><!-- ws:start:WikiTextTocRule:253: --> | <a href="#Oregon">Oregon</a><!-- ws:end:WikiTextTocRule:253 --><!-- ws:start:WikiTextTocRule:254: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:254 --><!-- ws:start:WikiTextTocRule:255: --> | <a href="#Glacial">Glacial</a><!-- ws:end:WikiTextTocRule:255 --><!-- ws:start:WikiTextTocRule:256: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:256 --><!-- ws:start:WikiTextTocRule:257: -->
| | [[Category:subgroup]] |
| <!-- ws:end:WikiTextTocRule:257 --><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/11052942?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;11052942&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js">
| | [[Category:theory]] |
| </script><!-- ws:end:WikiTextMediaRule:0 --><br />
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| <hr />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Definitions"></a><!-- ws:end:WikiTextHeadingRule:1 -->Definitions</h1>
| |
| By a <em>chromatic pair</em> is meant a pair of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales">MOS</a> in some rank two temperament (which may often be a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Just%20intonation%20subgroups">subgroup temperament</a>) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called &quot;albitonic&quot; from the Latin word for &quot;white&quot;. Also included at times are &quot;haplotonic&quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>, which is an appropriate error measure for subgroups as well as full p-limit groups.<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:3 -->Terrain</h1>
| |
| Subgroup: 2.9/5.9/7<br />
| |
| Commas: 250047/250000<br />
| |
| Sval name: 6&amp;21<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain">domain</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~10/9 = 182.461<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [63/50 10/9; 250047/250000]<br />
| |
| Gencom map: [&lt;3 10/9 -7/9 2/9|, &lt;0 -2/3 -1/3 2/3|]<br />
| |
| <br />
| |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.00844 cents<br />
| |
| <br />
| |
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:259:&lt;img src=&quot;/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png" alt="terrain_3558edo.png" title="terrain_3558edo.png" /><!-- ws:end:WikiTextLocalImageRule:259 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <a class="wiki_link_ext" href="http://chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/" rel="nofollow">5 5 1 mode of 33 equal (with video)</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/33edo/20130827_551of33.mp3" rel="nofollow">play</a> by <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Petrtri"></a><!-- ws:end:WikiTextHeadingRule:5 -->Petrtri</h1>
| |
| Subgroup: 2.11/5.13/5<br />
| |
| Comma: 2200/2197<br />
| |
| Svalname: 3&amp;5<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/10 = 455.012<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 2200/2197]<br />
| |
| Gencom map: [&lt;1 0 -1/3 0 -1/3 2/3|, &lt;0 0 -4/3 0 5/3 -1/3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 1|, &lt;0 3 1|]<br />
| |
| EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.0749 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:260:&lt;img src=&quot;/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png" alt="petrtri_385edo.png" title="petrtri_385edo.png" /><!-- ws:end:WikiTextLocalImageRule:260 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Barton"></a><!-- ws:end:WikiTextHeadingRule:7 -->Barton</h1>
| |
| Subgroup: 2.5.11.13<br />
| |
| Commas: 2200/2197, 6656/6655<br />
| |
| Svalname: 11&amp;13<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/8 = 551.699<br />
| |
| <br />
| |
| Gencom: [2 11/8; 2200/2197 6656/6655]<br />
| |
| Gencom map: [&lt;1 0 6 0 3 6|, &lt;0 0 -8 0 1 -5|]<br />
| |
| <br />
| |
| Map: [&lt;1 6 3 6|, &lt;0 -8 1 -5|]<br />
| |
| EDOs: 11, 13, 24, 37, 50, 87, 298, 385, 472, 559, 1590cd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.0822 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/barton5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/barton7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/barton9">Nine note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/barton11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/barton13">Thirteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Voltage"></a><!-- ws:end:WikiTextHeadingRule:9 -->Voltage</h1>
| |
| Subgroup: 2.7.13<br />
| |
| Comma: 28672/28561<br />
| |
| Sval name: 3&amp;7<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~16/13 = 357.677<br />
| |
| <a class="wiki_link" href="/TOP%20tuning">POTT generator</a>: ~16/13 = 1200 - 300 log₂(7) (357.794)<br />
| |
| <br />
| |
| Gencom: [2, 16/13; 28672/28561]<br />
| |
| Gencom map: [&lt;1 0 0 4 0 4|, &lt;0 0 0 -4 0 -1|]<br />
| |
| <br />
| |
| Map: [&lt;1 4 4|, &lt;0 -4 -1|]<br />
| |
| EDOS: 3, 7, 10, 27, 37, 47, 57, 104<br />
| |
| RMS error: 0.1423<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:11 -->Tridec</h1>
| |
| Subgroup: 2.7/5.11/5.13/5<br />
| |
| Commas: 847/845, 1001/1000<br />
| |
| Sval name: 5&amp;8<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/10 = 454.556<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 847/845 1001/1000]<br />
| |
| Gencom map: [&lt;1 0 -3/4 5/4 -3/4 1/4|, &lt;0 0 0 -4 3 1|]<br />
| |
| <br />
| |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
| |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.1613 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:261:&lt;img src=&quot;/file/view/tridec_235edo.png/284860428/tridec_235edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/tridec_235edo.png/284860428/tridec_235edo.png" alt="tridec_235edo.png" title="tridec_235edo.png" /><!-- ws:end:WikiTextLocalImageRule:261 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:13 -->Nestoria</h1>
| |
| Subgroup: 2.3.5.19<br />
| |
| Commas: 361/360, 513/512<br />
| |
| Sval name: 12&amp;29<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 701.746<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 361/360 513/512]<br />
| |
| Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 0 -3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.1763 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:262:&lt;img src=&quot;/file/view/nestoria_171edo.png/284862598/nestoria_171edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/nestoria_171edo.png/284862598/nestoria_171edo.png" alt="nestoria_171edo.png" title="nestoria_171edo.png" /><!-- ws:end:WikiTextLocalImageRule:262 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria12">Twelve note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria17">Seventeen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:15:&lt;h1&gt; --><h1 id="toc7"><a name="Orgone"></a><!-- ws:end:WikiTextHeadingRule:15 -->Orgone</h1>
| |
| Subgroup: 2.7.11<br />
| |
| Commas: 65536/65219<br />
| |
| Svals: 4&amp;7<br />
| |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan#superkleismic">superkleismic</a><br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~77/64 = 323.372<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 77/64; 65536/65219]<br />
| |
| Gencom map: [&lt;1 0 0 2 4|, &lt;0 0 0 3 -2|]<br />
| |
| <br />
| |
| Map: [&lt;1 2 4|, &lt;0 3 -2|]<br />
| |
| EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.1888 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:263:&lt;img src=&quot;/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:263 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone15">Fifteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:17:&lt;h1&gt; --><h1 id="toc8"><a name="Marveltwintri"></a><!-- ws:end:WikiTextHeadingRule:17 -->Marveltwintri</h1>
| |
| Subgroup: 2.5/3.13/9<br />
| |
| Comma: 325/324<br />
| |
| Svalname: 3&amp;4<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 317.139<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 325/324]<br />
| |
| Gencom map: [&lt;1 -1/6 5/6 0 0 -1/3|, &lt;0 -1/2 -3/2 0 0 1|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 2|, &lt;0 1 -2|]<br />
| |
| EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2444 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:264:&lt;img src=&quot;/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png" alt="marveltwintri_321edo.png" title="marveltwintri_321edo.png" /><!-- ws:end:WikiTextLocalImageRule:264 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri15">Fifteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:19:&lt;h1&gt; --><h1 id="toc9"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:19 -->Cata</h1>
| |
| Subgroup: 2.3.5.13<br />
| |
| Commas: 325/324, 625/624<br />
| |
| Sval name: 15&amp;19<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family">catakleismic</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 317.076<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 325/324 625/624]<br />
| |
| Gencom map: [&lt;1 0 1 0 0 0|, &lt;0 6 5 0 0 14|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2450 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:265:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/cata_246edo.jpg/270808508/cata_246edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo.jpg/270808508/cata_246edo.jpg" alt="cata_246edo.jpg" title="cata_246edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:265 --><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata15">Fifteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata19">Nineteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:21:&lt;h1&gt; --><h1 id="toc10"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:21 -->Bridgetown</h1>
| |
| Subgroup: 2.3.11/5.13/5<br />
| |
| Commas: 352/351, 676/675<br />
| |
| Sval name: 5&amp;24<br />
| |
| Related temperaments: <a class="wiki_link" href="/Chromatic%20pairs#Haumea">haumea</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago">barbados</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~15/13 = 248.399<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 15/13; 352/351 676/675]<br />
| |
| Gencom map: [&lt;1 2 -5/3 0 4/3 1/3|, &lt;0 -2 4 0 -5 1|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| |
| EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2513 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:266:&lt;img src=&quot;/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png" alt="bridgetown_29edo.png" title="bridgetown_29edo.png" /><!-- ws:end:WikiTextLocalImageRule:266 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:23:&lt;h2&gt; --><h2 id="toc11"><a name="Bridgetown-Music"></a><!-- ws:end:WikiTextHeadingRule:23 -->Music</h2>
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3" rel="nofollow">Paint in the Water 29</a></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Igliashon%20Jones">Igliashon Jones</a><br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow">Route 14 in Bridgetown</a></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:25:&lt;h1&gt; --><h1 id="toc12"><a name="Haumea"></a><!-- ws:end:WikiTextHeadingRule:25 -->Haumea</h1>
| |
| Subgroup: 2.3.7/5.11/5.13/5<br />
| |
| Commas: 352/351, 676/675, 847/845<br />
| |
| Related temperaments: <a class="wiki_link" href="/Chromatic%20pairs#Bridgetown">bridgetown</a>, <a class="wiki_link" href="/Hemifamity%20family#Namaka">namaka</a>, hemigari, barbados, parizekmic<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~15/13 = 248.491<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 15/13; 352/351 676/675 847/845]<br />
| |
| Gencom map: [&lt;1 2 -3/4 -11/4 9/4 5/4|, &lt;0 -2 0 12 -9 -3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 10 -6 -1|, &lt;0 2 -12 9 3|]<br />
| |
| EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.2668 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea14">Fourteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea19">Nineteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:27:&lt;h1&gt; --><h1 id="toc13"><a name="Neuter"></a><!-- ws:end:WikiTextHeadingRule:27 -->Neuter</h1>
| |
| Subgroup: 2.3.11<br />
| |
| Commas: 243/242<br />
| |
| Svalname: 7&amp;17<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/9 = 350.525<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 243/242]<br />
| |
| Gencom map: [&lt;1 1 0 0 2|, &lt;0 2 0 0 5|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 2|, &lt;0 2 5|]<br />
| |
| EDOs: 7, 17, 24, 65, 89, 202, 291, 380<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3021 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:267:&lt;img src=&quot;/file/view/neuter_380edo.png/580992451/neuter_380edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/neuter_380edo.png/580992451/neuter_380edo.png" alt="neuter_380edo.png" title="neuter_380edo.png" /><!-- ws:end:WikiTextLocalImageRule:267 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet10">Ten note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:29:&lt;h2&gt; --><h2 id="toc14"><a name="Neuter-Music"></a><!-- ws:end:WikiTextHeadingRule:29 -->Music</h2>
| |
| <a class="wiki_link_ext" href="https://soundcloud.com/jdfreivald/mo-happy-happy" rel="nofollow">Mo - Happy - Happy</a> <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3" rel="nofollow">play</a> by Jake Freivald in Neuter[7], 24et tuning<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:31:&lt;h1&gt; --><h1 id="toc15"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:31 -->Slendric</h1>
| |
| Subgroup: 2.3.7<br />
| |
| Comma: 1029/1024<br />
| |
| Sval name: 5&amp;21<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~8/7 = 233.688<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 1029/1024]<br />
| |
| Gencom map: [&lt;1 1 0 3|, &lt;0 3 0 -1|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 3|, &lt;0 3 -1|]<br />
| |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3202 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:268:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:268 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:33:&lt;h2&gt; --><h2 id="toc16"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:33 -->Music</h2>
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow">The 11th Slendric Fanfare</a></span></span><br />
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a></span></span><br />
| |
| by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:35:&lt;h1&gt; --><h1 id="toc17"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:35 -->Huntington</h1>
| |
| Subgroup: 2.5.7.13<br />
| |
| Commas: 640/637, 10985/10976<br />
| |
| Sval name: 10&amp;27<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~16/13 = 357.002<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 16/13; 640/637 10985/10976]<br />
| |
| Gencom map: [&lt;1 0 5 4 0 4|, &lt;0 0 -9 -4 0 -1|]<br />
| |
| <br />
| |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3452 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:269:&lt;img src=&quot;/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:269 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:37:&lt;h1&gt; --><h1 id="toc18"><a name="Tobago"></a><!-- ws:end:WikiTextHeadingRule:37 -->Tobago</h1>
| |
| Subgroup: 2.3.11.13/5<br />
| |
| Commas: 243/242, 676/675<br />
| |
| Sval name: 10&amp;14<br />
| |
| Related temperaments: <a class="wiki_link" href="/Chromatic%20pairs#Neuter">neuter</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago">barbados</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~15/13 = 249.312<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [55/39 15/13; 243/242 676/675]<br />
| |
| Gencom map: [&lt;2 4 -2 0 9 2|, &lt;0 -2 3/2 0 -5 -3/2|]<br />
| |
| <br />
| |
| Map: [&lt;2 0 -1 -2], &lt;0 2 5 3]]<br />
| |
| EDOs: 10, 14, 24, 58, 82, 130<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3533 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tobago6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tobago10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tobago14">Fourteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tobago24">Twentyfour note quatertone scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:39:&lt;h1&gt; --><h1 id="toc19"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:39 -->Pepperoni</h1>
| |
| Subgroup: 2.3.11/7.13/7<br />
| |
| Commas: 352/351, 364/363<br />
| |
| Sval name: 5&amp;12<br />
| |
| Related temperament: The <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Peppermint-24">Pepper fifth</a>, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 703.856<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 352/351 364/363]<br />
| |
| Gencom map: [&lt;1 1 0 -8/3 1/3 7/3|, &lt;0 1 0 11/3 -1/3 -10/3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| |
| EDOs: 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3789 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:270:&lt;img src=&quot;/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png" alt="pepperoni_271edo.png" title="pepperoni_271edo.png" /><!-- ws:end:WikiTextLocalImageRule:270 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:41:&lt;h1&gt; --><h1 id="toc20"><a name="Wizz"></a><!-- ws:end:WikiTextHeadingRule:41 -->Wizz</h1>
| |
| Subgroup: 2.5.11<br />
| |
| Commas: 15625/15488<br />
| |
| Sval name: 6&amp;16<br />
| |
| Related temperaments: <a class="wiki_link" href="/Marvel%20temperaments#Wizard-11-limit">wizard</a><br />
| |
| <br />
| |
| Generator: ~5/4 = 383.768<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [125/88 5/4; 15625/15488]<br />
| |
| Gencom map: [&lt;2 0 4 0 5| &lt;0 0 1 0 3|]<br />
| |
| <br />
| |
| Map: [&lt;2 0 -7|, &lt;0 1 3|]<br />
| |
| EDOs: 6, 16, 22, 28, 50, 122, 172, 222<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3997<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:43:&lt;h1&gt; --><h1 id="toc21"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:43 -->Bossier</h1>
| |
| Subgroup: 2.7.11.13<br />
| |
| Commas: 1573/1568, 15488/15379<br />
| |
| Sval name: 3&amp;17<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~14/11 = 421.309<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 14/11; 1573/1568 15488/15379]<br />
| |
| Gencom map: [&lt;1 0 0 0 1 3|, &lt;0 0 0 8 7 2|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| |
| EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.4043 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:271:&lt;img src=&quot;/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="bossier_225edo.jpg" title="bossier_225edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:271 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier14">Fourteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:45:&lt;h1&gt; --><h1 id="toc22"><a name="Penta"></a><!-- ws:end:WikiTextHeadingRule:45 -->Penta</h1>
| |
| Subgroup: 2.9.7.11<br />
| |
| Commas: 896/891, 26411/26244<br />
| |
| Svalname: 8&amp;11<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 438.465<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 896/891 26411/26244]<br />
| |
| Gencom map: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]<br />
| |
| EDOs: 8, 11, 30, 41, 52<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.4262 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta19">Nineteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:47:&lt;h1&gt; --><h1 id="toc23"><a name="Bluebirds"></a><!-- ws:end:WikiTextHeadingRule:47 -->Bluebirds</h1>
| |
| Subgroup: 2.11.13<br />
| |
| Comma: 265837/262144<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~143/128 = 182.368<br />
| |
| <br />
| |
| Gencom: [2 143/128; 265837/262144]<br />
| |
| Gencom map: [&lt;1 0 0 0 3 4|, &lt;0 0 0 0 3 -2|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 6|, &lt;0 3 -2|]<br />
| |
| EDOs: 6, 7, 13, 33, 46, 79, 125c, 204bc, 329bc<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.4444 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bluebirds6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bluebirds7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bluebirds13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:49:&lt;h1&gt; --><h1 id="toc24"><a name="Marveltri"></a><!-- ws:end:WikiTextHeadingRule:49 -->Marveltri</h1>
| |
| Subgroup: 2.5.9/7<br />
| |
| Comma: 225/224<br />
| |
| Sval name: 3&amp;13<br />
| |
| Related temperaments: marvel, 22&amp;47, magic<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~5/4 = 383.638<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 5/4; 225/224]<br />
| |
| Gencom map: [&lt;1 2/5 2 -1/5|, &lt;0 -4/5 1 2/5|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 5|, &lt;0 1 -2|]<br />
| |
| EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.4801 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri10">Ten note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13">Thirteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:51:&lt;h1&gt; --><h1 id="toc25"><a name="Edson"></a><!-- ws:end:WikiTextHeadingRule:51 -->Edson</h1>
| |
| Subgroup: 2.3.7/5.11/5.13/5<br />
| |
| Commas: 196/195, 352/351, 364/363<br />
| |
| Related temperaments: <a class="wiki_link" href="/Hemifamity%20family#Pele">pele</a>, cassandra<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 703.414<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 196/195, 352/351, 364/363]<br />
| |
| Gencom map: [&lt;1 1 -5 -1 2 4|, &lt;0 1 29/4 5/4 -11/4 -23/4|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 10 17 22|, &lt;0 1 -6 -10 -13|]<br />
| |
| EDOs: 12, 17, 29, 621bcde<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5102 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson12">Twelve note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson17">Seventeen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:53:&lt;h1&gt; --><h1 id="toc26"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:53 -->Photia</h1>
| |
| Subgroup: 2.3.5.17.19<br />
| |
| Commas: 171/170, 256/255, 324/323<br />
| |
| Sval name: 12&amp;41<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 701.470<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 171/170 256/255 324/323]<br />
| |
| Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5374 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:272:&lt;img src=&quot;/file/view/photia_65edo.png/284863542/photia_65edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" /><!-- ws:end:WikiTextLocalImageRule:272 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:55:&lt;h1&gt; --><h1 id="toc27"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:55 -->Shoe</h1>
| |
| Subgroup: 2.5.7.11.13<br />
| |
| Commas: 176/175, 640/637, 847/845<br />
| |
| Sval name: 16&amp;21<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~8/7 = 227.108<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 176/175 640/637 847/845]<br />
| |
| Gencom map: [&lt;1 0 1 3 1 2|, &lt;0 0 7 -1 13 9|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]<br />
| |
| EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5433 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:273:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg" alt="shoe_37edo.jpg" title="shoe_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:273 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe6">shoe6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe11">shoe11</a> - eleven note note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe16">shoe16</a> - sixteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:57:&lt;h1&gt; --><h1 id="toc28"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:57 -->Roulette</h1>
| |
| Subgroup: 2.5.7.11.13<br />
| |
| Commas: 176/175, 1375/1372, 640/637<br />
| |
| Sval name: 6&amp;25<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family">Hemiwürschmidt</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~28/25 = 194.594<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 28/25; 176/175 1375/1372 640/637]<br />
| |
| Gencom map: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]<br />
| |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5567 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:274:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:274 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette7">roulette7</a> - seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette13">roulette13</a> - thirteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19">roulette19</a> - nineteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale">mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:59:&lt;h1&gt; --><h1 id="toc29"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:59 -->Silver</h1>
| |
| Subgroup: 2.5.7.13.17<br />
| |
| Commas: 170/169, 640/637, 5525/5488<br />
| |
| Sval name: 10&amp;27<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/8 = 842.711<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/8; 170/169 640/637 5525/5488]<br />
| |
| Gencom map: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]<br />
| |
| <br />
| |
| Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br />
| |
| EDOs: 7, 10, 17, 27, 37, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 84, 131, 178e, 309cde, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo">487bcdee</a><br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5886 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:275:&lt;img src=&quot;/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:275 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7">silver7</a> -seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver10">silver10</a> - ten note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver17">silver17</a> - seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:61:&lt;h1&gt; --><h1 id="toc30"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:61 -->Baldy</h1>
| |
| Subgroup: 2.9.5.7.13<br />
| |
| Commas: 225/224, 325/324, 640/637<br />
| |
| Sval name: 6&amp;35<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">Garibaldi</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/8 = 204.090<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 225/224 325/324 640/637]<br />
| |
| Gencom map: [&lt;1 3/2 3 4 0 2|, &lt;0 1/2 -4 -7 0 10|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]<br />
| |
| EDOs: 6, 11, 17, 23, 29, 35, 41, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 100, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/147edo">147</a>, 488cd, 635cd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5999 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:276:&lt;img src=&quot;/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:276 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6">baldy6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy11">baldy11</a> - eleven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy17">baldy17</a> - seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:63:&lt;h1&gt; --><h1 id="toc31"><a name="Guanyintet"></a><!-- ws:end:WikiTextHeadingRule:63 -->Guanyintet</h1>
| |
| Subgroup: 2.5.7/3.11/3<br />
| |
| Commas: 176/175, 540/539<br />
| |
| Svalname: 4&amp;9<br />
| |
| Related temperaments: guanyin, orwell<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~7/6 = 270.093<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 176/175 540/539]<br />
| |
| Gencom map: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]<br />
| |
| EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.6028 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:65:&lt;h1&gt; --><h1 id="toc32"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:65 -->Radon</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 896/891, 1029/1024<br />
| |
| Sval name: 5&amp;36<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gamelismic%20clan">Rodan</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~8/7 = 234.381<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 896/891 1029/1024]<br />
| |
| Gencom map: [&lt;1 1 0 3 6|, &lt;0 3 0 -1 -13|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| |
| EDOs: 5, 36, 41, 87, 128<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.6502 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:277:&lt;img src=&quot;/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:277 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:67:&lt;h1&gt; --><h1 id="toc33"><a name="Gariberttet"></a><!-- ws:end:WikiTextHeadingRule:67 -->Gariberttet</h1>
| |
| Subgroup: 2.5/3.7/3.13/11<br />
| |
| Commas: 275/273, 847/845<br />
| |
| Svalname: 4&amp;29<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/11 = 293.679<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/11; 275/273 847/845]<br />
| |
| Gencom map: [&lt;1 0 0 0 0 0|, &lt;0 -8/3 1/3 7/3 -1/2 1/2|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]<br />
| |
| EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.6914 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:69:&lt;h1&gt; --><h1 id="toc34"><a name="Namo"></a><!-- ws:end:WikiTextHeadingRule:69 -->Namo</h1>
| |
| Subgroup: 2.3.11.13<br />
| |
| Commas: 144/143, 243/242<br />
| |
| Related temperament: <a class="wiki_link" href="/Valinorismic%20temperaments#Mandos">mandos</a>, mohajira, hemif<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/9 = 351.488<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 144/143 243/242]<br />
| |
| Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 0 0 5 -1|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 2 4|, &lt;0 2 5 -1|]<br />
| |
| EDOs: 7, 10, 17, 41, 58, 99cd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7038 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:71:&lt;h1&gt; --><h1 id="toc35"><a name="Sentry"></a><!-- ws:end:WikiTextHeadingRule:71 -->Sentry</h1>
| |
| Group: 2.5/3.9/7<br />
| |
| Commas: 245/243<br />
| |
| Svalname: 3&amp;5<br />
| |
| Related temperaments: sensi<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 440.902<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 245/243]<br />
| |
| Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 0|, &lt;0 2 1|]<br />
| |
| EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7105 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry11">Eleven note note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:73:&lt;h1&gt; --><h1 id="toc36"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:73 -->Hemif</h1>
| |
| Subgroup: 2.3.7.11.13<br />
| |
| Commas: 144/143, 243/242, 364/363<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments">Hemififths</a>, namo<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/9 = 351.691<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 144/143 243/242 364/363]<br />
| |
| Gencom map: [&lt;1 1 0 -1 2 4|, &lt;0 2 0 13 5 -1|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7167 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:278:&lt;img src=&quot;/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:278 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:75:&lt;h1&gt; --><h1 id="toc37"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:75 -->Garibaldi</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 225/224, 3125/3087<br />
| |
| Val name: 12&amp;29<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 702.085<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 225/224 3125/3087]<br />
| |
| Gencom map: [&lt;1 1 7 11], &lt;0 1 -8 -14|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 94, 241c<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7257 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:279:&lt;img src=&quot;/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png" alt="garibaldi_94edo.png" title="garibaldi_94edo.png" /><!-- ws:end:WikiTextLocalImageRule:279 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12">Twelve note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:77:&lt;h1&gt; --><h1 id="toc38"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:77 -->Mabila</h1>
| |
| Subgroup: 2.5.7<br />
| |
| Comma: 1071875/1048576<br />
| |
| Sval name: 7&amp;9<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~175/128 = 527.236<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 175/128; 1071875/1048576]<br />
| |
| Gencom map: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 5|, &lt;0 3 -5|]<br />
| |
| EDOs: 7, 9, 16, 25, 41, 66, 305bc<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7729 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:280:&lt;img src=&quot;/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:280 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:79:&lt;h1&gt; --><h1 id="toc39"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:79 -->Indium</h1>
| |
| Subgroup: 2.5/3.7/3.11/3<br />
| |
| Commas: 3025/3024, 3125/3087<br />
| |
| Sval name: 8&amp;33<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~12/11 = 147.010<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 12/11; 3025/3024 3125/3087]<br />
| |
| Gencom map: [&lt;1 -1/2 -1/2 -1/2 3/2|, &lt;0 -15/4 9/4 25/4 -19/4|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br />
| |
| EDOs: 33, 41, 49, 57, 106, 204, 253<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7788 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:281:&lt;img src=&quot;/file/view/indium_253edo.png/284867050/indium_253edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/indium_253edo.png/284867050/indium_253edo.png" alt="indium_253edo.png" title="indium_253edo.png" /><!-- ws:end:WikiTextLocalImageRule:281 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:81:&lt;h2&gt; --><h2 id="toc40"><a name="Indium-Music"></a><!-- ws:end:WikiTextHeadingRule:81 -->Music</h2>
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow">The Cry of Indium</a></span></span> (in Indium 17) by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank">details</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:83:&lt;h1&gt; --><h1 id="toc41"><a name="Starlingtet"></a><!-- ws:end:WikiTextHeadingRule:83 -->Starlingtet</h1>
| |
| Group: 2.5/3.7/3<br />
| |
| Comma: 126/125<br />
| |
| Svalname: 4&amp;15<br />
| |
| Related temperaments: starling; becomes myna<br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 311.154<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 126/125]<br />
| |
| Gencom map: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 -1|, &lt;0 1 3|]<br />
| |
| EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.8398 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet4">Four note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:85:&lt;h1&gt; --><h1 id="toc42"><a name="Lovecraft"></a><!-- ws:end:WikiTextHeadingRule:85 -->Lovecraft</h1>
| |
| Group: 2.11.13<br />
| |
| Commas: 1352/1331<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/11 = 279.318<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/11; 1352/1331]<br />
| |
| Gencom map: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 0|, &lt;0 2 3|]<br />
| |
| EDOS: 13, 30, 43, 73, 116b<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.8449 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:282:&lt;img src=&quot;/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png" alt="lovecraft_116edo.png" title="lovecraft_116edo.png" /><!-- ws:end:WikiTextLocalImageRule:282 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:87:&lt;h1&gt; --><h1 id="toc43"><a name="Blackbirds"></a><!-- ws:end:WikiTextHeadingRule:87 -->Blackbirds</h1>
| |
| Subgroup: 2.11.13<br />
| |
| Comma: 29282/28561<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/8 = 546.660<br />
| |
| <br />
| |
| Gencom: [13/11 11/8; 29282/28561]<br />
| |
| Gencom map: [&lt;4 0 0 0 12 13|, &lt;0 0 0 0 1 1|]<br />
| |
| <br />
| |
| Map: [&lt;4 0 1|, &lt;0 1 1|]<br />
| |
| EDOs: 4, 16, 20, 24, 44, 68, 112c, 180bc<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.8685 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/blackbirds8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/blackbirds12">Twelve note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/blackbirds16">Sixteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:89:&lt;h1&gt; --><h1 id="toc44"><a name="Laz"></a><!-- ws:end:WikiTextHeadingRule:89 -->Laz</h1>
| |
| Subgroup: 2.5.7/3.11/3.13/3<br />
| |
| Commas: 144/143, 176/175, 196/195<br />
| |
| Related temperaments: <a class="wiki_link" href="/Orwellismic%20family#Guanyin-Georgian">georgian</a>, winston<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~7/6 = 269.300<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 144/143 176/175 196/195]<br />
| |
| Gencom map: [&lt;1 -5/4 3 -1/4 7/4 -1/4|, &lt;0 -1/4 -3 3/4 -21/4 19/4|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -2 6|, &lt;0 3 -1 5 -5|]<br />
| |
| EDOs: 9, 31, 40, 49, 58, 156bde, 205bde<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.8790 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/laz5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/laz9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/laz13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:91:&lt;h1&gt; --><h1 id="toc45"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:91 -->Myna</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 126/125, 1728/1715<br />
| |
| Val name: 4&amp;27<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 310.146<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 126/125 1728/1715]<br />
| |
| Gencom map: [&lt;1 -1 0 1|,&lt;0 10 9 7|]<br />
| |
| <br />
| |
| Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br />
| |
| EDOs: 4, 27, 31, 58, 89, 236c, 325cd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.9516 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:283:&lt;img src=&quot;/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:283 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:93:&lt;h1&gt; --><h1 id="toc46"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:93 -->Greeley</h1>
| |
| Subgroup: 2.5/3.7/3.11/3<br />
| |
| Commas: 121/120, 126/125<br />
| |
| Related temperament: <a class="wiki_link" href="/Porcupine%20family#Opossum">Opossum</a>, <a class="wiki_link" href="/Starling%20temperaments#Nusecond%20temperament">Nusecond</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/10 = 155.776<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/10; 121/120 126/125]<br />
| |
| Gencom map: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| |
| EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.034 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:284:&lt;img src=&quot;/file/view/greeley_100edo.png/284867960/greeley_100edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/greeley_100edo.png/284867960/greeley_100edo.png" alt="greeley_100edo.png" title="greeley_100edo.png" /><!-- ws:end:WikiTextLocalImageRule:284 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:95:&lt;h2&gt; --><h2 id="toc47"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:95 -->Music</h2>
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow">A Greeley Steals Halloween</a></span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank">Chris Vaisvil</a> in Greeley 15<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:97:&lt;h1&gt; --><h1 id="toc48"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:97 -->Semidim</h1>
| |
| Subgroup: 2.5/3.7/3.11/3.13/3<br />
| |
| Commas: 121/120, 169/168, 275/273<br />
| |
| Sval name: 8&amp;29<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/10 = 453.242<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 121/120 169/168 275/273]<br />
| |
| Gencom map: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]<br />
| |
| <br />
| |
| Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br />
| |
| EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.052 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:285:&lt;img src=&quot;/file/view/semidim_770edo.png/284868918/semidim_770edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="semidim_770edo.png" title="semidim_770edo.png" /><!-- ws:end:WikiTextLocalImageRule:285 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:99:&lt;h1&gt; --><h1 id="toc49"><a name="Mothwelltri"></a><!-- ws:end:WikiTextHeadingRule:99 -->Mothwelltri</h1>
| |
| Group: 2.7/3.11<br />
| |
| Comma: 99/98<br />
| |
| Svalname: 1&amp;4<br />
| |
| Related temperament: Orwell<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~7/6 = 273.174<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 99/98]<br />
| |
| Gencom map: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 1|, &lt;0 1 2|]<br />
| |
| EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.064 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:101:&lt;h1&gt; --><h1 id="toc50"><a name="Sulis"></a><!-- ws:end:WikiTextHeadingRule:101 -->Sulis</h1>
| |
| Subgroup: 2.5.9/7.11/9<br />
| |
| Commas: 99/98, 176/175<br />
| |
| Related temperament: <a class="wiki_link" href="/Marvel%20family#Minerva">minerva</a>, würschmidt<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~5/4 = 386.558<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 5/4; 99/98 176/175]<br />
| |
| Gencom map: [&lt;1 4/9 2 -1/9 -1/9|, &lt;0 -4/3 1 -2/3 4/3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 5 -9|, &lt;0 1 -2 4|]<br />
| |
| EDOs: 22, 25, 28, 31, 59, 90c, 149c<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.074 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sulis7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sulis10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sulis13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:103:&lt;h1&gt; --><h1 id="toc51"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:103 -->Skwares</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 99/98, 243/242<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">squares</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 425.244<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 99/98 243/242]<br />
| |
| Gencom map: [&lt;1 3 0 6 7|, &lt;0 -4 0 -9 -10|]<br />
| |
| <br />
| |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.099 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:286:&lt;img src=&quot;/file/view/skwares_206edo.png/284589566/skwares_206edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" /><!-- ws:end:WikiTextLocalImageRule:286 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:105:&lt;h1&gt; --><h1 id="toc52"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:105 -->Orwell</h1>
| |
| Group: 2.3.5.7.11<br />
| |
| Commas: 99/98, 121/120, 176/175<br />
| |
| Val name: 9&amp;22<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~7/6 = 271.426<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 99/98 121/120 176/175]<br />
| |
| Gencom map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br />
| |
| EDOs: 9, 22, 31, 53, 84e<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.151 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:287:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="orwell_84edo.png" title="orwell_84edo.png" /><!-- ws:end:WikiTextLocalImageRule:287 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:107:&lt;h1&gt; --><h1 id="toc53"><a name="Magicaltet"></a><!-- ws:end:WikiTextHeadingRule:107 -->Magicaltet</h1>
| |
| Group: 2.5/3.7.11<br />
| |
| Commas: 100/99, 385/384<br />
| |
| Related temperaments: 4&amp;7&amp;15, superkleismic, magic<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 322.659<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 100/99 385/384]<br />
| |
| Gencom map: [&lt;1 -1/2 1/2 2 4|, &lt;0 1/2 -1/2 3 -2|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]<br />
| |
| EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.206 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet15">Fifteen note mega scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:109:&lt;h1&gt; --><h1 id="toc54"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:109 -->Magic</h1>
| |
| Group: 2.3.5.7.11<br />
| |
| Commas: 100/99, 225/224, 245/243<br />
| |
| Val name: 19&amp;22<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~5/4 = 380.696<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 5/4; 100/99 225/224 245/243]<br />
| |
| Gencom map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br />
| |
| EDOs: 19, 22, 41, 104, 145<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.226 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:288:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="magic_145edo.jpg" title="magic_145edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:288 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic13">Thirteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic16">Sixteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:111:&lt;h2&gt; --><h2 id="toc55"><a name="Magic-Music"></a><!-- ws:end:WikiTextHeadingRule:111 -->Music</h2>
| |
| <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow">Chromatic piece in magic 16</a></span> <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:113:&lt;h1&gt; --><h1 id="toc56"><a name="Kiribati"></a><!-- ws:end:WikiTextHeadingRule:113 -->Kiribati</h1>
| |
| Subgroup: 2.9/5.7/3.11/9<br />
| |
| Commas: 100/99, 245/242<br />
| |
| Related temperament: <a class="wiki_link" href="/Octagar%20family">nakika</a>, octacot<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~21/20 = 87.892<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 21/20; 100/99 245/242]<br />
| |
| Gencom map: [&lt;1 1/10 -4/5 11/10 1/5|, &lt;0 -3/2 -1 3/2 1|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 1 0|, &lt;0 -2 3 4|]<br />
| |
| EDOs: 13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.245 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/kiribati13">Thirteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/kiribati14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:115:&lt;h1&gt; --><h1 id="toc57"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:115 -->Score</h1>
| |
| Subgroup: 2.7.11.13<br />
| |
| Commas: 343/338, 847/832<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/8 = 540.099<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/8; 343/338 847/832]<br />
| |
| Gencom map: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| |
| EDOs: 5, 7, 9, 11, 20<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.282 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:289:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg" alt="score_20edo.jpg" title="score_20edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:289 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score9">Nine note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:117:&lt;h1&gt; --><h1 id="toc58"><a name="Sensation"></a><!-- ws:end:WikiTextHeadingRule:117 -->Sensation</h1>
| |
| Group: 2.3.5.7.13<br />
| |
| Commas: 91/90, 126/125, 169/168<br />
| |
| Related temperaments: Sensi, Sensis, Sensus<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 443.322<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 91/90 126/125 169/168]<br />
| |
| Gencom map: [&lt;1 -1 -1 -2 0 0|, &lt;0 7 9 13 0 10|]<br />
| |
| <br />
| |
| Map: [&lt;1 6 8 11 10|, &lt;0 -7 -9 -13 -10|]<br />
| |
| EDOs: 19, 27, 46, 111de, 157de<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.321 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:119:&lt;h1&gt; --><h1 id="toc59"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:119 -->Sensi</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 126/125, 245/243<br />
| |
| Val name: 19&amp;27<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 443.383<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 126/125 245/243]<br />
| |
| Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]<br />
| |
| <br />
| |
| Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br />
| |
| EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.323 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:290:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:290 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:121:&lt;h1&gt; --><h1 id="toc60"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:121 -->Meantone</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 81/80, 126/125<br />
| |
| Val name: 12&amp;19<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 696.495<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 81/80 126/125]<br />
| |
| Gencom map: [&lt;1 1 0 -3|, &lt;0 1 4 10|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]<br />
| |
| EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.382 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:291:&lt;img src=&quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:291 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:123:&lt;h1&gt; --><h1 id="toc61"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:123 -->Mohaha</h1>
| |
| Subgroup: 2.3.5.11<br />
| |
| Commas: 81/80, 121/120<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">mohajira</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/9 = 348.094<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 81/80 121/120]<br />
| |
| Gencom map: [&lt;1 1 0 0 2|, &lt;[0 2 8 0 5|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| |
| EDOs: 24, 31, 55, 69d, 100d, 131bd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.392 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:292:&lt;img src=&quot;/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png" alt="mohaha_131edo.png" title="mohaha_131edo.png" /><!-- ws:end:WikiTextLocalImageRule:292 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10">Ten note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:125:&lt;h2&gt; --><h2 id="toc62"><a name="Mohaha-Music"></a><!-- ws:end:WikiTextHeadingRule:125 -->Music</h2>
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow">Mohaha10ping2</a> by <a class="wiki_link" href="/Billy%20Stiltner">Billy Stiltner</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:127:&lt;h1&gt; --><h1 id="toc63"><a name="Joan"></a><!-- ws:end:WikiTextHeadingRule:127 -->Joan</h1>
| |
| Subgroup: 2.9.7.11<br />
| |
| Commas: 99/98, 9317/9216<br />
| |
| Related temperaments: casablanca, orwell<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/8 = 542.672 cents<br />
| |
| <br />
| |
| Gencom: [2 11/8; 99/98 9317/9216]<br />
| |
| Gencom map: [&lt;1 0 0 1 3|, &lt;0 7/2 0 4 1|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 1 3|, &lt;0 7 4 1|]<br />
| |
| EDOs: 11, 20, 31, 42, 115bd, 157bd<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.424 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/joan5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/joan7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/joan9">Nine note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/joan11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:129:&lt;h1&gt; --><h1 id="toc64"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:129 -->Tutone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 81/80, 99/98, 126/125<br />
| |
| Related temperaments: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meantone</a>, <a class="wiki_link" href="/Hemimean%20family#Belobog">belobog</a>, hemithirds, hemiwürschmidt<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/8 = 193.937<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 81/80 99/98 126/125]<br />
| |
| Gencom map: [&lt;1 3/2 2 2 2|, &lt;0 1/2 2 5 9|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| |
| EDOs: 25, 31, 68b, 99b<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.439 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:293:&lt;img src=&quot;/file/view/tutone_99edo.png/284592004/tutone_99edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/tutone_99edo.png/284592004/tutone_99edo.png" alt="tutone_99edo.png" title="tutone_99edo.png" /><!-- ws:end:WikiTextLocalImageRule:293 --><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:131:&lt;h1&gt; --><h1 id="toc65"><a name="Stacks"></a><!-- ws:end:WikiTextHeadingRule:131 -->Stacks</h1>
| |
| Subgroup: 2.9.15.7.11.13<br />
| |
| Commas: 100/99, 105/104, 144/143, 196/195<br />
| |
| Related temperament: <a class="wiki_link" href="/Magic%20family#Magic-13-limit">magic</a><br />
| |
| Svalname: 11&amp;30<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 439.146<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 100/99 105/104 144/143 196/195]<br />
| |
| Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br />
| |
| EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.540 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks11">Eleven note note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks19">Nineteen note note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:133:&lt;h1&gt; --><h1 id="toc66"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:133 -->Bleu</h1>
| |
| Group: 2.3.7.11.13<br />
| |
| Commas: 78/77, 99/98, 144/143<br />
| |
| Sval name: 9&amp;17<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POL2 generator</a>: ~13/12 = 139.990<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/12; 78/77 99/98 144/143]<br />
| |
| Gencom map: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]<br />
| |
| EDOs: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo">43</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo">60c</a><br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.752 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:294:&lt;img src=&quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /><!-- ws:end:WikiTextLocalImageRule:294 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8">bleu8</a> - Eight note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu9">bleu9</a> - Nine note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu17">bleu17</a> - Seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/temperaments/Bleu/20131103_2-11-13-subgroup-Bleu17_a-well-worn-riff.mp3" rel="nofollow">On a Well Worn Riff (Bleu 17)</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/on-a-well-worn-riff-bleu-17/" rel="nofollow">Chris Vaisvil</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:135:&lt;h1&gt; --><h1 id="toc67"><a name="Sephiroth"></a><!-- ws:end:WikiTextHeadingRule:135 -->Sephiroth</h1>
| |
| Subgroup: 2.5.11.13.17<br />
| |
| Commas: 65/64, 170/169, 221/220<br />
| |
| Related temperament: muggles<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~5/4 = 372.236<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 5/4; 65/64 170/169 221/220]<br />
| |
| Gencom map: [&lt;1 0 2 0 5 4 5|, &lt;0 0 1 0 -5 -1 -3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 6 11|, &lt;0 1 -5 -1 -3|]<br />
| |
| EDOs: 10, 13, 16, 29c<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.774 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth13">Thirteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth16">Sixteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:137:&lt;h1&gt; --><h1 id="toc68"><a name="Archy"></a><!-- ws:end:WikiTextHeadingRule:137 -->Archy</h1>
| |
| Subgroup: 2.3.7<br />
| |
| Comma: 64/63<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 709.321<br />
| |
| <br />
| |
| Gencom: [2 3/2; 64/63]<br />
| |
| Gencom mapping: [&lt;1 1 0 4|, &lt;0 1 0 -2|]<br />
| |
| <br />
| |
| Map: [&lt;1 2 2|, &lt;0 -1 2|]<br />
| |
| EDOs: 5, 12, 17, 22, 27, 137bc<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.856 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/archy5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/archy7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/archy12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:139:&lt;h1&gt; --><h1 id="toc69"><a name="Suhajira"></a><!-- ws:end:WikiTextHeadingRule:139 -->Suhajira</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 64/63, 243/242<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POL2 generator</a>: ~11/9 = 353.958<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 64/63 243/242]<br />
| |
| Gencom map: [&lt;1 1 0 4 2|, &lt;0 2 0 -4 5|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 4 2|, &lt;0 2 -4 5|]<br />
| |
| EDOs: 7, 10, 17, 61de<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.968 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/suhajira7">suhajira7</a> - Seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/suhajira10">suhajira10</a> - Ten note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="/suhajira17">suhajira17</a> - note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:141:&lt;h1&gt; --><h1 id="toc70"><a name="Mohoho"></a><!-- ws:end:WikiTextHeadingRule:141 -->Mohoho</h1>
| |
| Subgroup: 2.3.5.11.13<br />
| |
| Commas: 66/65, 81/80, 121/120<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/9 = 348.916<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 66/65 81/80 121/120]<br />
| |
| Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 8 0 5 -1|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
| |
| EDOs: 17c, 24, 31, 55, 86de, 141cde<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.971 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:143:&lt;h1&gt; --><h1 id="toc71"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:143 -->Supra</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth">suprapyth</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 707.192<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 64/63 99/98]<br />
| |
| Gencom map: [&lt;1 1 0 4 7|, &lt;0 1 0 -2 -6|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
| |
| EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:295:&lt;img src=&quot;/file/view/supra_56edo.png/284870878/supra_56edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/supra_56edo.png/284870878/supra_56edo.png" alt="supra_56edo.png" title="supra_56edo.png" /><!-- ws:end:WikiTextLocalImageRule:295 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:145:&lt;h1&gt; --><h1 id="toc72"><a name="Machine"></a><!-- ws:end:WikiTextHeadingRule:145 -->Machine</h1>
| |
| Subgroup: 2.9.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/8 = 214.384<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 64/63 99/98]<br />
| |
| Gencom map: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
| |
| EDOs: 5, 6, 11, 17, 28<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 1.977 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:296:&lt;img src=&quot;/file/view/machine_28edo.png/284594814/machine_28edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/machine_28edo.png/284594814/machine_28edo.png" alt="machine_28edo.png" title="machine_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:296 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine6">Six note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:147:&lt;h1&gt; --><h1 id="toc73"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:147 -->Deutone</h1>
| |
| Subgroup: 2.9.5.7.13<br />
| |
| Commas: 65/64, 81/80, 91/90<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meanpop</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/8 = 191.059<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 65/64 81/80 91/90]<br />
| |
| Gencom map: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br />
| |
| EDOs: 6, 7, 13, 19, 25e, 44de<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.003 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:297:&lt;img src=&quot;/file/view/deutone_44edo.png/284596634/deutone_44edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/deutone_44edo.png/284596634/deutone_44edo.png" alt="deutone_44edo.png" title="deutone_44edo.png" /><!-- ws:end:WikiTextLocalImageRule:297 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone7">seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:149:&lt;h1&gt; --><h1 id="toc74"><a name="Supraphon"></a><!-- ws:end:WikiTextHeadingRule:149 -->Supraphon</h1>
| |
| Subgroup: 2.3.7.11.13<br />
| |
| Commas: 64/63, 78/77, 99/98<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 706.137<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 64/63 78/77 99/98]<br />
| |
| Gencom map: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br />
| |
| EDOs: 5, 7, 12, 17<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.095 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:151:&lt;h1&gt; --><h1 id="toc75"><a name="Negra"></a><!-- ws:end:WikiTextHeadingRule:151 -->Negra</h1>
| |
| Subgroup: 2.3.5.7.13<br />
| |
| Commas: 49/48, 65/64, 91/90<br />
| |
| Related temperament: <a class="wiki_link" href="/Marvel%20temperaments#Negri-13-limit">negri</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~14/13~13/12 = 125.567 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 14/13;<br />
| |
| Gencom map: [&lt;1 2 2 3 0 4|, &lt;0 -4 3 -2 0 -3|]<br />
| |
| <br />
| |
| Map: [&lt;1 2 2 3 4|, &lt;0 -4 3 -2 -3|]<br />
| |
| EDOs: 9, 10, 19, 29, 67cd*f, 86cd*f<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.147 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:153:&lt;h1&gt; --><h1 id="toc76"><a name="Porkypine"></a><!-- ws:end:WikiTextHeadingRule:153 -->Porkypine</h1>
| |
| Subgroup: 2.3.5.11<br />
| |
| Commas: 55/54, 100/99<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~10/9 = 164.078<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 10/9; 55/54 100/99]<br />
| |
| Gencom map: [&lt;1 2 3 0 4|], &lt;0 -3 -5 0 -4|]<br />
| |
| <br />
| |
| Map: [&lt;1 2 3 4|, &lt;0 3 5 4|]<br />
| |
| EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.287 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:155:&lt;h1&gt; --><h1 id="toc77"><a name="Skateboard"></a><!-- ws:end:WikiTextHeadingRule:155 -->Skateboard</h1>
| |
| Subgroup: 2.5/3.7/3.11.13/9<br />
| |
| Commas: 56/55, 91/90, 100/99<br />
| |
| Related temperament: <a class="wiki_link" href="/Starling%20family#Thrasher-13-limit">thrasher</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 313.842<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 56/55 91/90 100/99]<br />
| |
| Gencom map: [&lt;1 -3/7 4/7 11/7 4 -6/7|, &lt;0 0 -1 -3 -2 2|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 -1 2 2|, &lt;0 1 3 2 -2|]<br />
| |
| EDOs: 11, 15, 19, 23, 42d, 65d<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.396 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skateboard7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skateboard11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skateboard15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:157:&lt;h1&gt; --><h1 id="toc78"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:157 -->Augment</h1>
| |
| Subgroup: 2.5.7.11<br />
| |
| Commas: 56/55, 128/125<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Augmented%20family">augmented</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~8/7 = 228.275<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [5/4 8/7; 56/55 128/125]<br />
| |
| Gencom map: [&lt;3 0 7 9 11|, &lt;0 0 0 -1 -1|]<br />
| |
| <br />
| |
| Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br />
| |
| EDOs: 3, 6, 9, 15, 21<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.422 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:298:&lt;img src=&quot;/file/view/augment_21edo.png/284598188/augment_21edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/augment_21edo.png/284598188/augment_21edo.png" alt="augment_21edo.png" title="augment_21edo.png" /><!-- ws:end:WikiTextLocalImageRule:298 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:159:&lt;h1&gt; --><h1 id="toc79"><a name="Semaphore"></a><!-- ws:end:WikiTextHeadingRule:159 -->Semaphore</h1>
| |
| Subgroup: 2.3.7<br />
| |
| Comma: 49/48<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~7/6 = 250.385<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 49/48]<br />
| |
| Gencom map: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 2|, &lt;0 2 1|]<br />
| |
| EDOs: 5, 9, 14, 19, 24, 67c, 91c<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.523 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:299:&lt;img src=&quot;/file/view/semaphore_24edo.png/337342626/semaphore_24edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/semaphore_24edo.png/337342626/semaphore_24edo.png" alt="semaphore_24edo.png" title="semaphore_24edo.png" /><!-- ws:end:WikiTextLocalImageRule:299 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:161:&lt;h1&gt; --><h1 id="toc80"><a name="Kryptonite"></a><!-- ws:end:WikiTextHeadingRule:161 -->Kryptonite</h1>
| |
| Subgroup: 2.5.7/3.11/3.13/3<br />
| |
| Commas: 56/55, 78/77, 91/90<br />
| |
| Related temperaments: <a class="wiki_link" href="/Sengic%20family">krypton</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/12 = 132.428<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/12; 56/55 78/77 91/90]<br />
| |
| Gencom map: [&lt;1 -5/4 2 -1/4 3/4 3/4|, &lt;0 -1/2 3 3/2 -3/2 1/2|]<br />
| |
| <br />
| |
| Map: [&lt;1 2 1 2 2|, &lt;0 -3 -2 1 -1|]<br />
| |
| EDOs: 9, 63, 82bd, 91bde<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.545 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/kryptonite9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/kryptonite10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/kryptonite19">Nineteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:163:&lt;h1&gt; --><h1 id="toc81"><a name="Oregon"></a><!-- ws:end:WikiTextHeadingRule:163 -->Oregon</h1>
| |
| Subgroup: 2.9.15.7.11<br />
| |
| Commas: 55/54, 64/63, 100/99<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 325.495<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 55/54 64/63 100/99]<br />
| |
| Gencom map: [&lt;1 2 3 2 4|, &lt;0 -3/2 -5/2 3 -2|]<br />
| |
| <br />
| |
| Map: [&lt;1 1 1 5 2|, &lt;0 3 4 -3 2|]<br />
| |
| EDOs: 7, 11, 37b, 48b, 59b<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.550 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:165:&lt;h1&gt; --><h1 id="toc82"><a name="Antikythera"></a><!-- ws:end:WikiTextHeadingRule:165 -->Antikythera</h1>
| |
| Subgroup: 2.9.5.7<br />
| |
| Commas: 50/49, 64/63<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pajara">pajara</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~8/7 = 214.095<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [7/5 8/7; 50/49 64/63]<br />
| |
| Gencom map: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]<br />
| |
| <br />
| |
| Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]<br />
| |
| EDOS: 4, 6, 10, 16, 22, 28<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.572 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:300:&lt;img src=&quot;/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png" alt="antikythera_28edo.png" title="antikythera_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:300 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:167:&lt;h1&gt; --><h1 id="toc83"><a name="Glacial"></a><!-- ws:end:WikiTextHeadingRule:167 -->Glacial</h1>
| |
| Subgroup: 2.9.5.11.13<br />
| |
| Commas: 45/44, 65/64, 81/80<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/8 = 186.151<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 45/44 65/64 81/80]<br />
| |
| Gencom map: [&lt;1 3/2 2 0 3 4|, &lt;0 1/2 2 0 3 -2|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -6 10|, &lt;0 1 2 3 -2|]<br />
| |
| EDOs: 6, 13, 45be, 58bce, 71bce, 84bce<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 2.887 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/glacial6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/glacial7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/glacial13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:169:&lt;h1&gt; --><h1 id="toc84"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:169 -->Leantone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 45/44, 56/55, 81/80<br />
| |
| Related temperament: <a class="wiki_link" href="/meanenneadecal">meanenneadecal</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/8 = 192.500<br />
| |
| <br />
| |
| <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 45/44 56/55 81/80]<br />
| |
| Gencom map: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
| |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
| |
| <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 3.882 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:301:&lt;img src=&quot;/file/view/leantone_81edo.png/284593104/leantone_81edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/leantone_81edo.png/284593104/leantone_81edo.png" alt="leantone_81edo.png" title="leantone_81edo.png" /><!-- ws:end:WikiTextLocalImageRule:301 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone13">Thirteen note chromatic scale</a></body></html></pre></div>
| |
Definitions
By a chromatic pair is meant a pair of MOS in some rank two temperament (which may often be a subgroup temperament) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing RMS error, which is an appropriate error measure for subgroups as well as full p-limit groups.
Terrain
Subgroup: 2.9/5.9/7
Commas: 250047/250000
Sval name: 6&21
Related temperament: domain
POT2 generator: ~10/9 = 182.461
Gencom: [63/50 10/9; 250047/250000]
Gencom map: [<3 10/9 -7/9 2/9|, <0 -2/3 -1/3 2/3|]
Map: [<3 0 -4|, <0 1 2|]
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
RMS error: 0.00844 cents
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
Nine note albitonic scale
Fifteen note chromatic scale
5 5 1 mode of 33 equal (with video) play by Chris Vaisvil
Petrtri
Subgroup: 2.11/5.13/5
Comma: 2200/2197
Svalname: 3&5
POT2 generator: ~13/10 = 455.012
Gencom: [2 13/10; 2200/2197]
Gencom map: [<1 0 -1/3 0 -1/3 2/3|, <0 0 -4/3 0 5/3 -1/3|]
Map: [<1 0 1|, <0 3 1|]
EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c
RMS error: 0.0749 cents
Five note haplotonic scale
Eight note albitonic scale
Thirteen note chromatic scale
Barton
Subgroup: 2.5.11.13
Commas: 2200/2197, 6656/6655
Svalname: 11&13
POT2 generator: ~11/8 = 551.699
Gencom: [2 11/8; 2200/2197 6656/6655]
Gencom map: [<1 0 6 0 3 6|, <0 0 -8 0 1 -5|]
Map: [<1 6 3 6|, <0 -8 1 -5|]
EDOs: 11, 13, 24, 37, 50, 87, 298, 385, 472, 559, 1590cd
RMS error: 0.0822 cents
Five note haplotonic scale
Seven note albitonic scale
Nine note mega albitonic scale
Eleven note chromatic scale
Thirteen note mega chromatic scale
Voltage
Subgroup: 2.7.13
Comma: 28672/28561
Sval name: 3&7
POT2 generator: ~16/13 = 357.677
POTT generator: ~16/13 = 1200 - 300 log₂(7) (357.794)
Gencom: [2, 16/13; 28672/28561]
Gencom map: [<1 0 0 4 0 4|, <0 0 0 -4 0 -1|]
Map: [<1 4 4|, <0 -4 -1|]
EDOS: 3, 7, 10, 27, 37, 47, 57, 104
RMS error: 0.1423
Tridec
Subgroup: 2.7/5.11/5.13/5
Commas: 847/845, 1001/1000
Sval name: 5&8
POT2 generator: ~13/10 = 454.556
Gencom: [2 13/10; 847/845 1001/1000]
Gencom map: [<1 0 -3/4 5/4 -3/4 1/4|, <0 0 0 -4 3 1|]
Map: [<1 2 0 1|, <0 -4 3 1|]
EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc
RMS error: 0.1613 cents
Eight note albitonic scale
Thirteen note chromatic scale
Nestoria
Subgroup: 2.3.5.19
Commas: 361/360, 513/512
Sval name: 12&29
Related temperament: schismatic
POT2 generator: ~3/2 = 701.746
Gencom: [2 3/2; 361/360 513/512]
Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 0 -3|]
Map: [<1 0 15 9|, <0 1 -8 -3|]
EDOs: 7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d
RMS error: 0.1763 cents
Seven note albitonic scale
Twelve note chromatic scale
Seventeen note mega chromatic scale
Orgone
Subgroup: 2.7.11
Commas: 65536/65219
Svals: 4&7
Related temperament: superkleismic
POT2 generator: ~77/64 = 323.372
Gencom: [2 77/64; 65536/65219]
Gencom map: [<1 0 0 2 4|, <0 0 0 3 -2|]
Map: [<1 2 4|, <0 3 -2|]
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc
RMS error: 0.1888 cents
Seven note albitonic scale
Eleven note chromatic scale
Fifteen note mega chromatic scale
Marveltwintri
Subgroup: 2.5/3.13/9
Comma: 325/324
Svalname: 3&4
POT2 generator: ~6/5 = 317.139
Gencom: [2 6/5; 325/324]
Gencom map: [<1 -1/6 5/6 0 0 -1/3|, <0 -1/2 -3/2 0 0 1|]
Map: [<1 0 2|, <0 1 -2|]
EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b
RMS error: 0.2444 cents
Seven note albitonic scale
Eleven note chromatic scale
Fifteen note mega chromatic scale
Cata
Subgroup: 2.3.5.13
Commas: 325/324, 625/624
Sval name: 15&19
Related temperament: catakleismic
POT2 generator: ~6/5 = 317.076
Gencom: [2 6/5; 325/324 625/624]
Gencom map: [<1 0 1 0 0 0|, <0 6 5 0 0 14|]
Map: [<1 0 1 0|, <0 6 5 14|]
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
RMS error: 0.2450 cents
Seven note albitonic scale
Eleven note mega albitonic scale
Fifteen note chromatic scale
Nineteen note mega chromatic scale
Bridgetown
Subgroup: 2.3.11/5.13/5
Commas: 352/351, 676/675
Sval name: 5&24
Related temperaments: haumea, barbados
POT2 generator: ~15/13 = 248.399
Gencom: [2 15/13; 352/351 676/675]
Gencom map: [<1 2 -5/3 0 4/3 1/3|, <0 -2 4 0 -5 1|]
Map: [<1 0 -6 -1|, <0 2 9 3|]
EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314
RMS error: 0.2513 cents
Nine note albitonic scale
Fourteen note chromatic scale
Music
Paint in the Water 29 by Igliashon Jones
Route 14 in Bridgetown by Chris Vaisvil
Haumea
Subgroup: 2.3.7/5.11/5.13/5
Commas: 352/351, 676/675, 847/845
Related temperaments: bridgetown, namaka, hemigari, barbados, parizekmic
POT2 generator: ~15/13 = 248.491
Gencom: [2 15/13; 352/351 676/675 847/845]
Gencom map: [<1 2 -3/4 -11/4 9/4 5/4|, <0 -2 0 12 -9 -3|]
Map: [<1 0 10 -6 -1|, <0 2 -12 9 3|]
EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd
RMS error: 0.2668 cents
Five note haplotonic scale
Nine note albitonic scale
Fourteen note chromatic scale
Nineteen note mega chromatic scale
Neuter
Subgroup: 2.3.11
Commas: 243/242
Svalname: 7&17
POT2 generator: ~11/9 = 350.525
Gencom: [2 11/9; 243/242]
Gencom map: [<1 1 0 0 2|, <0 2 0 0 5|]
Map: [<1 1 2|, <0 2 5|]
EDOs: 7, 17, 24, 65, 89, 202, 291, 380
RMS error: 0.3021 cents
neuter_380edo.png
Seven note albitonic scale
Ten note chromatic scale
Seventeen note mega chromatic scale
Music
Mo - Happy - Happy play by Jake Freivald in Neuter[7], 24et tuning
Slendric
Subgroup: 2.3.7
Comma: 1029/1024
Sval name: 5&21
POT2 generator: ~8/7 = 233.688
Gencom: [2 8/7; 1029/1024]
Gencom map: [<1 1 0 3|, <0 3 0 -1|]
Map: [<1 1 3|, <0 3 -1|]
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
RMS error: 0.3202 cents
Five note haplotonic scale
Six note haplotonic scale
Eleven note albitonic scale
Sixteen note chromatic scale
Music
The 11th Slendric Fanfare
16 Slendric Virgins
by Chris Vaisvil
Huntington
Subgroup: 2.5.7.13
Commas: 640/637, 10985/10976
Sval name: 10&27
POT2 generator: ~16/13 = 357.002
Gencom: [2 16/13; 640/637 10985/10976]
Gencom map: [<1 0 5 4 0 4|, <0 0 -9 -4 0 -1|]
Map: [<1 5 4 4|, <0 -9 -4 -1|]
EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd
RMS error: 0.3452 cents
Seven note haplotonic scale
Ten note albitonic scale
Seventeen note chromatic scale
Tobago
Subgroup: 2.3.11.13/5
Commas: 243/242, 676/675
Sval name: 10&14
Related temperaments: neuter, barbados
POT2 generator: ~15/13 = 249.312
Gencom: [55/39 15/13; 243/242 676/675]
Gencom map: [<2 4 -2 0 9 2|, <0 -2 3/2 0 -5 -3/2|]
Map: [<2 0 -1 -2], <0 2 5 3]]
EDOs: 10, 14, 24, 58, 82, 130
RMS error: 0.3533 cents
Six note haplotonic scale
Ten note albitonic scale
Fourteen note chromatic scale
Twentyfour note quatertone scale
Pepperoni
Subgroup: 2.3.11/7.13/7
Commas: 352/351, 364/363
Sval name: 5&12
Related temperament: The Pepper fifth, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.
POT2 generator: ~3/2 = 703.856
Gencom: [2 3/2; 352/351 364/363]
Gencom map: [<1 1 0 -8/3 1/3 7/3|, <0 1 0 11/3 -1/3 -10/3|]
Map: [<1 0 7 12|, <0 1 -4 -7|]
EDOs: 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd
RMS error: 0.3789 cents
Seven note albitonic scale
Twelve note chromatic scale
Wizz
Subgroup: 2.5.11
Commas: 15625/15488
Sval name: 6&16
Related temperaments: wizard
Generator: ~5/4 = 383.768
Gencom: [125/88 5/4; 15625/15488]
Gencom map: [<2 0 4 0 5| <0 0 1 0 3|]
Map: [<2 0 -7|, <0 1 3|]
EDOs: 6, 16, 22, 28, 50, 122, 172, 222
RMS error: 0.3997
Six note haplotonic scale
Ten note albitonic scale
Sixteen note chromatic scale
Bossier
Subgroup: 2.7.11.13
Commas: 1573/1568, 15488/15379
Sval name: 3&17
POT2 generator: ~14/11 = 421.309
Gencom: [2 14/11; 1573/1568 15488/15379]
Gencom map: [<1 0 0 0 1 3|, <0 0 0 8 7 2|]
Map: [<1 0 1 3|, <0 8 7 2|]
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd
RMS error: 0.4043 cents
Eight note albitonic scale
Eleven note chromatic scale
Fourteen note mega chromatic scale
Penta
Subgroup: 2.9.7.11
Commas: 896/891, 26411/26244
Svalname: 8&11
POT2 generator: ~9/7 = 438.465
Gencom: [2 9/7; 896/891 26411/26244]
Gencom map: [<1 5/2 0 5 2|, <0 -5/2 0 -6 4|]
Map: [<1 0 -1 6|, <0 5 6 -4|]
EDOs: 8, 11, 30, 41, 52
RMS error: 0.4262 cents
Five note haplotonic scale
Eight note albitonic scale
Eleven note chromatic scale
Nineteen note mega chromatic scale
Bluebirds
Subgroup: 2.11.13
Comma: 265837/262144
POT2 generator: ~143/128 = 182.368
Gencom: [2 143/128; 265837/262144]
Gencom map: [<1 0 0 0 3 4|, <0 0 0 0 3 -2|]
Map: [<1 0 6|, <0 3 -2|]
EDOs: 6, 7, 13, 33, 46, 79, 125c, 204bc, 329bc
RMS error: 0.4444 cents
Six note haplotonic scale
Seven note albitonic scale
Thirteen note chromatic scale
Marveltri
Subgroup: 2.5.9/7
Comma: 225/224
Sval name: 3&13
Related temperaments: marvel, 22&47, magic
POT2 generator: ~5/4 = 383.638
Gencom: [2 5/4; 225/224]
Gencom map: [<1 2/5 2 -1/5|, <0 -4/5 1 2/5|]
Map: [<1 0 5|, <0 1 -2|]
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc
RMS error: 0.4801 cents
Seven note albitonic scale
Ten note chromatic scale
Thirteen note mega chromatic scale
Edson
Subgroup: 2.3.7/5.11/5.13/5
Commas: 196/195, 352/351, 364/363
Related temperaments: pele, cassandra
POT2 generator: ~3/2 = 703.414
Gencom: [2 3/2; 196/195, 352/351, 364/363]
Gencom map: [<1 1 -5 -1 2 4|, <0 1 29/4 5/4 -11/4 -23/4|]
Map: [<1 0 10 17 22|, <0 1 -6 -10 -13|]
EDOs: 12, 17, 29, 621bcde
RMS error: 0.5102 cents
Five note haplotonic scale
Seven note albitonic scale
Twelve note chromatic scale
Seventeen note mega chromatic scale
Photia
Subgroup: 2.3.5.17.19
Commas: 171/170, 256/255, 324/323
Sval name: 12&41
Related temperament: schismatic
POT2 generator: ~3/2 = 701.470
Gencom: [2 3/2; 171/170 256/255 324/323]
Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 7 -3|]
Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d
RMS error: 0.5374 cents
Seven note albitonic scale
Twelve note chromatic scale
Shoe
Subgroup: 2.5.7.11.13
Commas: 176/175, 640/637, 847/845
Sval name: 16&21
POT2 generator: ~8/7 = 227.108
Gencom: [2 8/7; 176/175 640/637 847/845]
Gencom map: [<1 0 1 3 1 2|, <0 0 7 -1 13 9|]
Map: [<1 1 3 1 2|, <0 7 -1 13 9|]
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce
RMS error: 0.5433 cents
shoe5 - five note mini haplotonic scale
shoe6 - six note haplotonic scale
shoe11 - eleven note note albitonic scale
shoe16 - sixteen note chromatic scale
Roulette
Subgroup: 2.5.7.11.13
Commas: 176/175, 1375/1372, 640/637
Sval name: 6&25
Related temperament: Hemiwürschmidt
POT2 generator: ~28/25 = 194.594
Gencom: [2 28/25; 176/175 1375/1372 640/637]
Gencom map: [<1 0 2 2 2 5|, <0 0 2 5 9 -8|]
Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
EDOs: 6, 7, 13, 19, 25, 31, 37
RMS error: 0.5567 cents
roulette6 - six note haplotonic scale
roulette7 - seven note albitonic scale
roulette13 - thirteen note chromatic scale
roulette19 - nineteen note mega chromatic scale
Silver
Subgroup: 2.5.7.13.17
Commas: 170/169, 640/637, 5525/5488
Sval name: 10&27
POT2 generator: ~13/8 = 842.711
Gencom: [2 13/8; 170/169 640/637 5525/5488]
Gencom map: [<1 0 -4 0 0 3 9|, <0 0 9 4 0 1 -7|]
Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
EDOs: 7, 10, 17, 27, 37, 47, 84, 131, 178e, 309cde, 487bcdee
RMS error: 0.5886 cents
silver7 -seven note haplotonic scale
silver10 - ten note albitonic scale
silver17 - seventeen note chromatic scale
Baldy
Subgroup: 2.9.5.7.13
Commas: 225/224, 325/324, 640/637
Sval name: 6&35
Related temperament: Garibaldi
POT2 generator: ~9/8 = 204.090
Gencom: [2 9/8; 225/224 325/324 640/637]
Gencom map: [<1 3/2 3 4 0 2|, <0 1/2 -4 -7 0 10|]
Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|]
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147, 488cd, 635cd
RMS error: 0.5999 cents
baldy6 - six note haplotonic scale
baldy11 - eleven note albitonic scale
baldy17 - seventeen note chromatic scale
Guanyintet
Subgroup: 2.5.7/3.11/3
Commas: 176/175, 540/539
Svalname: 4&9
Related temperaments: guanyin, orwell
POT2 generator: ~7/6 = 270.093
Gencom: [2 7/6; 176/175 540/539]
Gencom map: [<1 -4/3 3 -1/3 5/3|, <0 4/3 -3 7/3 -11/3|]
Map: [<1 0 2 -2|, <0 3 -1 5|]
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd
RMS error: 0.6028 cents
Five note haplotonic scale
Nine note albitonic scale
Thirteen note chromatic scale
Radon
Subgroup: 2.3.7.11
Commas: 896/891, 1029/1024
Sval name: 5&36
Related temperament: Rodan
POT2 generator: ~8/7 = 234.381
Gencom: [2 8/7; 896/891 1029/1024]
Gencom map: [<1 1 0 3 6|, <0 3 0 -1 -13|]
Map: [<1 1 3 6|, <0 3 -1 -13|]
EDOs: 5, 36, 41, 87, 128
RMS error: 0.6502 cents
Five note haplotonic scale
Eleven note albitonic scale
Sixteen note chromatic scale
Gariberttet
Subgroup: 2.5/3.7/3.13/11
Commas: 275/273, 847/845
Svalname: 4&29
POT2 generator: ~13/11 = 293.679
Gencom: [2 13/11; 275/273 847/845]
Gencom map: [<1 0 0 0 0 0|, <0 -8/3 1/3 7/3 -1/2 1/2|]
Map: [<1 0 0 0|, <0 3 5 1|]
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd
RMS error: 0.6914 cents
Five note haplotonic scale
Nine note albitonic scale
Thirteen note chromatic scale
Namo
Subgroup: 2.3.11.13
Commas: 144/143, 243/242
Related temperament: mandos, mohajira, hemif
POT2 generator: ~11/9 = 351.488
Gencom: [2 11/9; 144/143 243/242]
Gencom map: [<1 1 0 0 2 4|, <0 2 0 0 5 -1|]
Map: [<1 1 2 4|, <0 2 5 -1|]
EDOs: 7, 10, 17, 41, 58, 99cd
RMS error: 0.7038 cents
Seven note haplotonic scale
Ten note albitonic scale
Seventeen note chromatic scale
Sentry
Group: 2.5/3.9/7
Commas: 245/243
Svalname: 3&5
Related temperaments: sensi
POT2 generator: ~9/7 = 440.902
Gencom: [2 9/7; 245/243]
Gencom map: [<1 0 0 0|, <0 0 2 -1|]
Map: [<1 0 0|, <0 2 1|]
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc
RMS error: 0.7105 cents
Five note haplotonic scale
Eight note albitonic scale
Eleven note note chromatic scale
Hemif
Subgroup: 2.3.7.11.13
Commas: 144/143, 243/242, 364/363
Related temperament: Hemififths, namo
POT2 generator: ~11/9 = 351.691
Gencom: [2 11/9; 144/143 243/242 364/363]
Gencom map: [<1 1 0 -1 2 4|, <0 2 0 13 5 -1|]
Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
EDOs: 7, 10, 17, 24, 41, 58
RMS error: 0.7167 cents
Seven note haplotonic scale
Ten note albitonic scale
Seventeen note chromatic scale
Garibaldi
Group: 2.3.5.7
Commas: 225/224, 3125/3087
Val name: 12&29
POT2 generator: ~3/2 = 702.085
Gencom: [2 3/2; 225/224 3125/3087]
Gencom map: [<1 1 7 11], <0 1 -8 -14|]
Map: [<1 0 15 25|, <0 1 -8 -14|]
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c
RMS error: 0.7257 cents
Twelve note albitonic scale
Seventeen note chromatic scale
Mabila
Subgroup: 2.5.7
Comma: 1071875/1048576
Sval name: 7&9
POT2 generator: ~175/128 = 527.236
Gencom: [2 175/128; 1071875/1048576]
Gencom map: [<1 0 1 5}, <0, 0, 3, -5|]
Map: [<1 1 5|, <0 3 -5|]
EDOs: 7, 9, 16, 25, 41, 66, 305bc
RMS error: 0.7729 cents
Seven note haplotonic scale
Nine note albitonic scale
Sixteen note chromatic scale
Indium
Subgroup: 2.5/3.7/3.11/3
Commas: 3025/3024, 3125/3087
Sval name: 8&33
POT2 generator: ~12/11 = 147.010
Gencom: [2 12/11; 3025/3024 3125/3087]
Gencom map: [<1 -1/2 -1/2 -1/2 3/2|, <0 -15/4 9/4 25/4 -19/4|]
Map: [<1 0 0 2|, <0 6 10 -1|]
EDOs: 33, 41, 49, 57, 106, 204, 253
RMS error: 0.7788 cents
Eight note albitonic scale
Seventeen note chromatic scale
Music
The Cry of Indium (in Indium 17) by Chris Vaisvil => details
Starlingtet
Group: 2.5/3.7/3
Comma: 126/125
Svalname: 4&15
Related temperaments: starling; becomes myna
POT2 generator: ~6/5 = 311.154
Gencom: [2 6/5; 126/125]
Gencom map: [<1 -1 0 1|, <0 4/3 1/3 -5/3|]
Map: [<1 0 -1|, <0 1 3|]
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
RMS error: 0.8398 cents
Four note haplotonic scale
Seven note albitonic scale
Eleven note chromatic scale
Lovecraft
Group: 2.11.13
Commas: 1352/1331
POT2 generator: ~13/11 = 279.318
Gencom: [2 13/11; 1352/1331]
Gencom map: [<1 0 0 0 3 3|, <0 0 0 0 2 3|]
Map: [<1 1 0|, <0 2 3|]
EDOS: 13, 30, 43, 73, 116b
RMS error: 0.8449 cents
Five note haplotonic scale
Nine note albitonic scale
Thirteen note chromatic scale
Blackbirds
Subgroup: 2.11.13
Comma: 29282/28561
POT2 generator: ~11/8 = 546.660
Gencom: [13/11 11/8; 29282/28561]
Gencom map: [<4 0 0 0 12 13|, <0 0 0 0 1 1|]
Map: [<4 0 1|, <0 1 1|]
EDOs: 4, 16, 20, 24, 44, 68, 112c, 180bc
RMS error: 0.8685 cents
Eight note albitonic scale
Twelve note chromatic scale
Sixteen note mega chromatic scale
Laz
Subgroup: 2.5.7/3.11/3.13/3
Commas: 144/143, 176/175, 196/195
Related temperaments: georgian, winston
POT2 generator: ~7/6 = 269.300
Gencom: [2 7/6; 144/143 176/175 196/195]
Gencom map: [<1 -5/4 3 -1/4 7/4 -1/4|, <0 -1/4 -3 3/4 -21/4 19/4|]
Map: [<1 0 2 -2 6|, <0 3 -1 5 -5|]
EDOs: 9, 31, 40, 49, 58, 156bde, 205bde
RMS error: 0.8790 cents
Five note haplotonic scale
Nine note albitonic scale
Thirteen note chromatic scale
Myna
Group: 2.3.5.7
Commas: 126/125, 1728/1715
Val name: 4&27
POT2 generator: ~6/5 = 310.146
Gencom: [2 6/5; 126/125 1728/1715]
Gencom map: [<1 -1 0 1|,<0 10 9 7|]
Map: [<1 9 9 8|, <0 -10 -9 -7|]
EDOs: 4, 27, 31, 58, 89, 236c, 325cd
RMS error: 0.9516 cents
Seven note haplotonic scale
Eleven note albitonic scale
Fifteen note chromatic scale
Greeley
Subgroup: 2.5/3.7/3.11/3
Commas: 121/120, 126/125
Related temperament: Opossum, Nusecond
POT2 generator: ~11/10 = 155.776
Gencom: [2 11/10; 121/120 126/125]
Gencom map: <1 -5/4 -1/4 3/4 3/4|, <0 9/4 1/4 -15/4 5/4|]
Map: [<1 1 2 2|, <0 -2 -6 -1|]
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd
RMS error: 1.034 cents
Eight note albitonic scale
Fifteen note chromatic scale
Music
A Greeley Steals Halloween by Chris Vaisvil in Greeley 15
Semidim
Subgroup: 2.5/3.7/3.11/3.13/3
Commas: 121/120, 169/168, 275/273
Sval name: 8&29
POT2 generator: ~13/10 = 453.242
Gencom: [2 13/10; 121/120 169/168 275/273]
Gencom map: [<1 -3 0 2 0 1|, <0 24/5 -6/5 -26/5 9/5 -1/5|]
Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,
RMS error: 1.052 cents
Eight note albitonic scale
Thirteen note chromatic scale
Mothwelltri
Group: 2.7/3.11
Comma: 99/98
Svalname: 1&4
Related temperament: Orwell
POT2 generator: ~7/6 = 273.174
Gencom: [2 7/6; 99/98]
Gencom map: [<1 -1/2 0 1/2 3|, <0 -1/2 0 1/2 2|]
Map: [<1 0 1|, <0 1 2|]
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc
RMS error: 1.064 cents
Five note haplotonic scale
Nine note albitonic scale
Thirteen note chromatic scale
Sulis
Subgroup: 2.5.9/7.11/9
Commas: 99/98, 176/175
Related temperament: minerva, würschmidt
POT2 generator: ~5/4 = 386.558
Gencom: [2 5/4; 99/98 176/175]
Gencom map: [<1 4/9 2 -1/9 -1/9|, <0 -4/3 1 -2/3 4/3|]
Map: [<1 0 5 -9|, <0 1 -2 4|]
EDOs: 22, 25, 28, 31, 59, 90c, 149c
RMS error: 1.074 cents
Seven note haplotonic scale
Ten note albitonic scale
Thirteen note chromatic scale
Skwares
Subgroup: 2.3.7.11
Commas: 99/98, 243/242
Related temperament: squares
POT2 generator: ~9/7 = 425.244
Gencom: [2 9/7; 99/98 243/242]
Gencom map: [<1 3 0 6 7|, <0 -4 0 -9 -10|]
Map: [<1 3 6 7|, <0 -4 -9 -10|]
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd
RMS error: 1.099 cents
Eight note albitonic scale
Eleven note mega albitonic scale
Fourteen note chromatic scale
Orwell
Group: 2.3.5.7.11
Commas: 99/98, 121/120, 176/175
Val name: 9&22
POT2 generator: ~7/6 = 271.426
Gencom: [2 7/6; 99/98 121/120 176/175]
Gencom map: [<1 0 3 1 3|, <0 7 -3 8 2|]
Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
EDOs: 9, 22, 31, 53, 84e
RMS error: 1.151 cents
Five note haplotonic scale
Nine note albitonic scale
Thirteen note chromatic scale
Magicaltet
Group: 2.5/3.7.11
Commas: 100/99, 385/384
Related temperaments: 4&7&15, superkleismic, magic
POT2 generator: ~6/5 = 322.659
Gencom: [2 6/5; 100/99 385/384]
Gencom map: [<1 -1/2 1/2 2 4|, <0 1/2 -1/2 3 -2|]
Map: [<1 0 5 2|, <0 1 -3 2|]
EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd
RMS error: 1.206 cents
Seven note albitonic scale
Eleven note chromatic scale
Fifteen note mega scale
Magic
Group: 2.3.5.7.11
Commas: 100/99, 225/224, 245/243
Val name: 19&22
POT2 generator: ~5/4 = 380.696
Gencom: [2 5/4; 100/99 225/224 245/243]
Gencom map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
EDOs: 19, 22, 41, 104, 145
RMS error: 1.226 cents
Seven note haplotonic scale
Ten note albitonic scale
Thirteen note chromatic scale
Sixteen note mega chromatic scale
Music
Chromatic piece in magic 16 Chris Vaisvil
Kiribati
Subgroup: 2.9/5.7/3.11/9
Commas: 100/99, 245/242
Related temperament: nakika, octacot
POT2 generator: ~21/20 = 87.892
Gencom: [2 21/20; 100/99 245/242]
Gencom map: [<1 1/10 -4/5 11/10 1/5|, <0 -3/2 -1 3/2 1|]
Map: [<1 1 1 0|, <0 -2 3 4|]
EDOs: 13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd
RMS error: 1.245 cents
Thirteen note chromatic scale
Fourteen note chromatic scale
Score
Subgroup: 2.7.11.13
Commas: 343/338, 847/832
POT2 generator: ~11/8 = 540.099
Gencom: [2 11/8; 343/338 847/832]
Gencom map: [<1 0 0 1 3 1|, <0 0 0 4 1 6|]
Map: [<1 1 3 1|, <0 4 1 6|]
EDOs: 5, 7, 9, 11, 20
RMS error: 1.282 cents
Five note haplotonic scale
Seven note albitonic scale
Nine note mega albitonic scale
Eleven note chromatic scale
Sensation
Group: 2.3.5.7.13
Commas: 91/90, 126/125, 169/168
Related temperaments: Sensi, Sensis, Sensus
POT2 generator: ~9/7 = 443.322
Gencom: [2 9/7; 91/90 126/125 169/168]
Gencom map: [<1 -1 -1 -2 0 0|, <0 7 9 13 0 10|]
Map: [<1 6 8 11 10|, <0 -7 -9 -13 -10|]
EDOs: 19, 27, 46, 111de, 157de
RMS error: 1.321 cents
Five note haplotonic scale
Eight note albitonic scale
Eleven note mega albitonic scale
Nineteen note chromatic scale
Sensi
Group: 2.3.5.7
Commas: 126/125, 245/243
Val name: 19&27
POT2 generator: ~9/7 = 443.383
Gencom: [2 9/7; 126/125 245/243]
Gencom map: [<1 -1 -1 -2|, <0 7 9 13|]
Map: [<1 6 8 11|, <0 -7 -9 -13|]
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd
RMS error: 1.323 cents
Five note haplotonic scale
Eight note albitonic scale
Eleven note mega albitonic scale
Nineteen note chromatic scale
Meantone
Group: 2.3.5.7
Commas: 81/80, 126/125
Val name: 12&19
POT2 generator: ~3/2 = 696.495
Gencom: [2 3/2; 81/80 126/125]
Gencom map: [<1 1 0 -3|, <0 1 4 10|]
Map: [<1 0 -4 -13|, <0 1 4 10|]
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b
RMS error: 1.382 cents
Five note haplotonic scale
Seven note albitonic scale
Twelve note chromatic scale
Mohaha
Subgroup: 2.3.5.11
Commas: 81/80, 121/120
Related temperament: mohajira
POT2 generator: ~11/9 = 348.094
Gencom: [2 11/9; 81/80 121/120]
Gencom map: [<1 1 0 0 2|, <[0 2 8 0 5|]
Map: [<1 1 0 2|, <0 2 8 5|]
EDOs: 24, 31, 55, 69d, 100d, 131bd
RMS error: 1.392 cents
Seven note albitonic scale
Ten note chromatic scale
Music
Mohaha10ping2 by Billy Stiltner
Joan
Subgroup: 2.9.7.11
Commas: 99/98, 9317/9216
Related temperaments: casablanca, orwell
POT2 generator: ~11/8 = 542.672 cents
Gencom: [2 11/8; 99/98 9317/9216]
Gencom map: [<1 0 0 1 3|, <0 7/2 0 4 1|]
Map: [<1 0 1 3|, <0 7 4 1|]
EDOs: 11, 20, 31, 42, 115bd, 157bd
RMS error: 1.424 cents
Five note haplotonic scale
Seven note albitonic scale
Nine note mega albitonic scale
Eleven note chromatic scale
Tutone
Subgroup: 2.9.5.7.11
Commas: 81/80, 99/98, 126/125
Related temperaments: meantone, belobog, hemithirds, hemiwürschmidt
POT2 generator: ~9/8 = 193.937
Gencom: [2 9/8; 81/80 99/98 126/125]
Gencom map: [<1 3/2 2 2 2|, <0 1/2 2 5 9|]
Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
EDOs: 25, 31, 68b, 99b
RMS error: 1.439 cents
Six note haplotonic scale
Seven note albitonic scale
Thirteen note chromatic scale
Stacks
Subgroup: 2.9.15.7.11.13
Commas: 100/99, 105/104, 144/143, 196/195
Related temperament: magic
Svalname: 11&30
POT2 generator: ~9/7 = 439.146
Gencom: [2 9/7; 100/99 105/104 144/143 196/195]
Gencom map: [<1 5/2 5/2 5 2 7|, <0 -5/2 -1/2 -6 4 -9|]
Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|]
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef
RMS error: 1.540 cents
Five note haplotonic scale
Eight note albitonic scale
Eleven note note chromatic scale
Nineteen note note mega chromatic scale
Bleu
Group: 2.3.7.11.13
Commas: 78/77, 99/98, 144/143
Sval name: 9&17
POL2 generator: ~13/12 = 139.990
Gencom: [2 13/12; 78/77 99/98 144/143]
Gencom map: [<1 1 0 2 3 3|, <0 5 0 7 4 6|]
Map: [<1 1 2 3 3|, <0 5 7 4 6|]
EDOs: 17, 43, 60c
RMS error: 1.752 cents
bleu8 - Eight note haplotonic scale
bleu9 - Nine note albitonic scale
bleu17 - Seventeen note chromatic scale
On a Well Worn Riff (Bleu 17) by Chris Vaisvil
Sephiroth
Subgroup: 2.5.11.13.17
Commas: 65/64, 170/169, 221/220
Related temperament: muggles
POT2 generator: ~5/4 = 372.236
Gencom: [2 5/4; 65/64 170/169 221/220]
Gencom map: [<1 0 2 0 5 4 5|, <0 0 1 0 -5 -1 -3|]
Map: [<1 0 15 6 11|, <0 1 -5 -1 -3|]
EDOs: 10, 13, 16, 29c
RMS error: 1.774 cents
Seven note haplotonic scale
Ten note albitonic scale
Thirteen note chromatic scale
Sixteen note mega chromatic scale
Archy
Subgroup: 2.3.7
Comma: 64/63
POT2 generator: ~3/2 = 709.321
Gencom: [2 3/2; 64/63]
Gencom mapping: [<1 1 0 4|, <0 1 0 -2|]
Map: [<1 2 2|, <0 -1 2|]
EDOs: 5, 12, 17, 22, 27, 137bc
RMS error: 1.856 cents
Five note haplotonic scale
Seven note albitonic scale
Twelve note chromatic scale
Suhajira
Subgroup: 2.3.7.11
Commas: 64/63, 243/242
POL2 generator: ~11/9 = 353.958
Gencom: [2 11/9; 64/63 243/242]
Gencom map: [<1 1 0 4 2|, <0 2 0 -4 5|]
Map: [<1 1 4 2|, <0 2 -4 5|]
EDOs: 7, 10, 17, 61de
RMS error: 1.968 cents
suhajira7 - Seven note haplotonic scale
suhajira10 - Ten note albitonic scale
suhajira17 - note chromatic scale
Mohoho
Subgroup: 2.3.5.11.13
Commas: 66/65, 81/80, 121/120
POT2 generator: ~11/9 = 348.916
Gencom: [2 11/9; 66/65 81/80 121/120]
Gencom map: [<1 1 0 0 2 4|, <0 2 8 0 5 -1|]
Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
EDOs: 17c, 24, 31, 55, 86de, 141cde
RMS error: 1.971 cents
Supra
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: suprapyth
POT2 generator: ~3/2 = 707.192
Gencom: [2 3/2; 64/63 99/98]
Gencom map: [<1 1 0 4 7|, <0 1 0 -2 -6|]
Map: [<1 0 6 13|, <0 1 -2 -6|]
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
RMS error: 1.977 cents
Seven note albitonic scale
Twelve note chromatic scale
Machine
Subgroup: 2.9.7.11
Commas: 64/63, 99/98
POT2 generator: ~9/8 = 214.384
Gencom: [2 9/8; 64/63 99/98]
Gencom map: [<1 3/2 0 3 4|, <0 1/2 0 -1 -3|]
Map: [<1 0 6 13|, <0 1 -1 -3|]
EDOs: 5, 6, 11, 17, 28
RMS error: 1.977 cents
Five note haplotonic scale
Six note albitonic scale
Eleven note chromatic scale
Deutone
Subgroup: 2.9.5.7.13
Commas: 65/64, 81/80, 91/90
Related temperament: meanpop
POT2 generator: ~9/8 = 191.059
Gencom: [2 9/8; 65/64 81/80 91/90]
Gencom map: [<1 3/2 2 2 0 4|, <0 1/2 2 5 0 -2|]
Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]
EDOs: 6, 7, 13, 19, 25e, 44de
RMS error: 2.003 cents
Six note haplotonic scale
seven note albitonic scale
Thirteen note chromatic scale
Supraphon
Subgroup: 2.3.7.11.13
Commas: 64/63, 78/77, 99/98
POT2 generator: ~3/2 = 706.137
Gencom: [2 3/2; 64/63 78/77 99/98]
Gencom map: [<1 1 0 4 7 9|, <0 1 0 -2 -6 -9|]
Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
EDOs: 5, 7, 12, 17
RMS error: 2.095 cents
Negra
Subgroup: 2.3.5.7.13
Commas: 49/48, 65/64, 91/90
Related temperament: negri
POT2 generator: ~14/13~13/12 = 125.567 cents
Gencom: [2 14/13;
Gencom map: [<1 2 2 3 0 4|, <0 -4 3 -2 0 -3|]
Map: [<1 2 2 3 4|, <0 -4 3 -2 -3|]
EDOs: 9, 10, 19, 29, 67cd*f, 86cd*f
RMS error: 2.147 cents
Porkypine
Subgroup: 2.3.5.11
Commas: 55/54, 100/99
POT2 generator: ~10/9 = 164.078
Gencom: [2 10/9; 55/54 100/99]
Gencom map: [<1 2 3 0 4|], <0 -3 -5 0 -4|]
Map: [<1 2 3 4|, <0 3 5 4|]
EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd
RMS error: 2.287 cents
Seven note haplotonic scale
Eight note albitonic scale
Fifteen note chromatic scale
Skateboard
Subgroup: 2.5/3.7/3.11.13/9
Commas: 56/55, 91/90, 100/99
Related temperament: thrasher
POT2 generator: ~6/5 = 313.842
Gencom: [2 6/5; 56/55 91/90 100/99]
Gencom map: [<1 -3/7 4/7 11/7 4 -6/7|, <0 0 -1 -3 -2 2|]
Map: [<1 0 -1 2 2|, <0 1 3 2 -2|]
EDOs: 11, 15, 19, 23, 42d, 65d
RMS error: 2.396 cents
Seven note haplotonic scale
Eleven note albitonic scale
Fifteen note chromatic scale
Augment
Subgroup: 2.5.7.11
Commas: 56/55, 128/125
Related temperament: augmented
POT2 generator: ~8/7 = 228.275
Gencom: [5/4 8/7; 56/55 128/125]
Gencom map: [<3 0 7 9 11|, <0 0 0 -1 -1|]
Map: [<3 7 0 2|, <0 0 1 1|]
EDOs: 3, 6, 9, 15, 21
RMS error: 2.422 cents
Six note haplotonic scale
Nine note albitonic scale
Twelve note chromatic scale
Semaphore
Subgroup: 2.3.7
Comma: 49/48
POT2 generator: ~7/6 = 250.385
Gencom: [2 7/6; 49/48]
Gencom map: [<1 2 0 3}, <0 -2 0 -1|]
Map: [<1 0 2|, <0 2 1|]
EDOs: 5, 9, 14, 19, 24, 67c, 91c
RMS error: 2.523 cents
Five note haplotonic scale
Nine note albitonic scale
Fourteen note chromatic scale
Kryptonite
Subgroup: 2.5.7/3.11/3.13/3
Commas: 56/55, 78/77, 91/90
Related temperaments: krypton
POT2 generator: ~13/12 = 132.428
Gencom: [2 13/12; 56/55 78/77 91/90]
Gencom map: [<1 -5/4 2 -1/4 3/4 3/4|, <0 -1/2 3 3/2 -3/2 1/2|]
Map: [<1 2 1 2 2|, <0 -3 -2 1 -1|]
EDOs: 9, 63, 82bd, 91bde
RMS error: 2.545 cents
Nine note albitonic scale
Ten note albitonic scale
Nineteen note mega chromatic scale
Oregon
Subgroup: 2.9.15.7.11
Commas: 55/54, 64/63, 100/99
POT2 generator: ~6/5 = 325.495
Gencom: [2 6/5; 55/54 64/63 100/99]
Gencom map: [<1 2 3 2 4|, <0 -3/2 -5/2 3 -2|]
Map: [<1 1 1 5 2|, <0 3 4 -3 2|]
EDOs: 7, 11, 37b, 48b, 59b
RMS error: 2.550 cents
Seven note haplotonic scale
Eleven note albitonic scale
Fifteen note chromatic scale
Antikythera
Subgroup: 2.9.5.7
Commas: 50/49, 64/63
Related temperament: pajara
POT2 generator: ~8/7 = 214.095
Gencom: [7/5 8/7; 50/49 64/63]
Gencom map: [<2 3 5 6|, <0 1/2 -1 -1|]
Map: [<2 0 11 12|, <0 1 -1 -1|]
EDOS: 4, 6, 10, 16, 22, 28
RMS error: 2.572 cents
Six note haplotonic scale
Ten note albitonic scale
Sixteen note chromatic scale
Glacial
Subgroup: 2.9.5.11.13
Commas: 45/44, 65/64, 81/80
POT2 generator: ~9/8 = 186.151
Gencom: [2 9/8; 45/44 65/64 81/80]
Gencom map: [<1 3/2 2 0 3 4|, <0 1/2 2 0 3 -2|]
Map: [<1 0 -4 -6 10|, <0 1 2 3 -2|]
EDOs: 6, 13, 45be, 58bce, 71bce, 84bce
RMS error: 2.887 cents
Six note haplotonic scale
Seven note albitonic scale
Thirteen note chromatic scale
Leantone
Subgroup: 2.9.5.7.11
Commas: 45/44, 56/55, 81/80
Related temperament: meanenneadecal
POT2 generator: ~9/8 = 192.500
Gencom: [2 9/8; 45/44 56/55 81/80]
Gencom map: [<1 3/2 2 2 3|, <0 1/2 2 5 3|]
Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
RMS error: 3.882 cents
Six note haplotonic scale
Seven note albitonic scale
Thirteen note chromatic scale
