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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-09 01:48:15 UTC</tt>.<br>
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| : The original revision id was <tt>284056584</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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| =Definitions=
| | In the sections below, 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. |
| 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 unweighted rms error with [[xenharmonic/Target tunings|tuning target]] the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.
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| =Terrain= | | == Terrain == |
| Subgroup: 2.9/5.9/7 | | {{See also| Subgroup temperaments #Terrain }} |
| Commas: 250047/250000
| |
| Sval name: 6&21
| |
| Related temperament: [[xenharmonic/Minortonic family#Domain|domain]]
| |
|
| |
|
| [[xenharmonic/POTE generator|POTE generator]]: ~10/9 = 182.462 | | [[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]] |
|
| |
|
| Map: [<3 0 -4|, <0 1 2|]
| | Scales: |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
| | * [[Terrain9]] – 9-tone albitonic scale |
| Error: 0.0443 cents
| | * [[Terrain15]] – 15-tone chromatic scale |
|
| |
|
| 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.
| | ; Music |
| | * ''5 5 1 mode of 33 equal'' (2013) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ blog] | [https://www.youtube.com/watch?v=2gYdUOPHXSQ YouTube] | [https://web.archive.org/web/20201127015117/http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play] |
|
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| [[xenharmonic/terrain9|Nine note albitonic scale]]
| | == Petrtri == |
| [[xenharmonic/terrain15|Fifteen note chromatic scale]]
| | {{See also| Subgroup temperaments #Petrtri }} |
|
| |
|
| =Petrtri=
| | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
| Subgroup: 2.11/5.13/5
| |
| Comma: 2200/2197
| |
| Svalname: 3&5
| |
|
| |
|
| POTE generator: ~13/10 = 455.062
| | Scales: |
| | * [[Petrtri5]] – 5-tone haplotonic scale |
| | * [[Petrtri8]] – 8-tone albitonic scale |
| | * [[Petrtri13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 0 1|, <0 3 1|]
| | == Barton == |
| EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c
| | {{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}} |
| Error: 0.6258 cents
| | {{See also| The Jacobins #Barton }} |
|
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|
| [[xenharmonic/petrtri5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/petrtri8|Eight note albitonic scale]] | | * [[Barton5]] – 5-tone haplotonic scale |
| [[xenharmonic/petrtri13|Thirteen note chromatic scale]] | | * [[Barton7]] – 7-tone albitonic scale |
| | * [[Barton9]] – 9-tone mega-albitonic scale |
| | * [[Barton11]] – 11-tone chromatic scale |
| | * [[Barton13]] – 13-tone mega-chromatic scale |
|
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|
| =Orgone= | | == Tridec == |
| Subgroup: 2.7.11 | | {{See also| Subgroup temperaments #Tridec }} |
| Commas: 65536/65219
| |
| Svals: 4&7
| |
|
| |
|
| POTE generator: ~77/64 = 323.372
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
|
| |
|
| Map: [<1 2 4|, <0 3, -2|]
| | Scales: |
| EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308
| | * [[Tridec8]] – 8-tone albitonic scale |
| Error: 0.7313
| | * [[Tridec13]] – 13-tone chromatic scale |
|
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|
| [[image:orgone_308edo.jpg]]
| | == Nestoria == |
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
|
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|
| [[xenharmonic/orgone7|Seven note albitonic scale]] | | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
| [[xenharmonic/orgone11|Eleven note chromatic scale]]
| |
| [[xenharmonic/orgone15|Fifteen note mega chromatic scale]]
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|
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|
| =Bridgetown=
| | Scales: |
| Subgroup: 2.3.11/5.13/5
| | * [[Nestoria7]] – 7-tone albitonic scale |
| Commas: 352/351, 676/675
| | * [[Nestoria12]] – 12-tone chromatic scale |
| Sval name: 5&24
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
| Related temperament: [[xenharmonic/The Archipelago|barabados]]
| |
|
| |
|
| POTE generator: ~15/13 = 248.285
| | == Orgone == |
| | {{Main| Orgone }} |
| | {{See also| Orgonia #Orgone }} |
|
| |
|
| Map: [<1 0 -6 -1|, <0 2 9 3|]
| | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
| EDOs: 5, 9, 14, 19, 24, 29
| |
| Error: 0.8996 cents
| |
|
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|
| [[xenharmonic/bridgetown9|Nine note albitonic scale]] | | Scales: |
| [[xenharmonic/bridgetown14|Fourteen note chromatic scale]] | | * [[Orgone7]] – 7-tone albitonic scale |
| | * [[Orgone11]] – 11-tone chromatic scale |
| | * [[Orgone15]] – 15-tone mega-chromatic scale |
|
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| ==Music== | | == Marveltwintri == |
| [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]] by [[xenharmonic/Igliashon Jones|Igliashon Jones]]
| | {{See also| Subgroup temperaments #Marveltwintri }} |
| [[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]] by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
| |
|
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|
| =Cata=
| | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
| Subgroup: 2.3.5.13
| |
| Commas: 325/324, 625/624
| |
| Sval name: 15&19
| |
| Related temperament: [[xenharmonic/Kleismic family|catakleismic]]
| |
|
| |
|
| POTE generator: ~6/5 = 317.076
| | Scales: |
| | * [[Marveltwintri7]] – 7-tone albitonic scale |
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 1 0|, <0 6 5 14|]
| | == Cata == |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
| | {{Main| Kleismic }} |
| Error: 0.9355 cents
| | {{See also| Kleismic family #Cata }} |
|
| |
|
| [[image:xenharmonic/cata_246edo2.jpg]] | | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
| [[xenharmonic/cata7|Seven note albitonic scale]]
| |
| [[xenharmonic/cata11|Eleven note mega albitonic scale]]
| |
| [[xenharmonic/cata15|Fifteen note chromatic scale]]
| |
| [[xenharmonic/cata19|Nineteen note mega chromatic scale]]
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|
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|
| =Neutraltet=
| | Scales: |
| Subgroup: 2.3.11
| | * [[Cata7]] – 7-tone albitonic scale |
| Commas: 243/242
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| Svalname: 7&17
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 350.525
| | == Bridgetown == |
| | {{See also| Subgroup temperaments #Bridgetown }} |
|
| |
|
| Map: [<1 1 2|, <0 2 5|]
| | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| EDOs: 7, 17, 24, 65, 89, 202, 291, 380
| |
| Error: 1.007
| |
|
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|
| [[xenharmonic/neutraltet7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/neutraltet10|Ten note chromatic scale]] | | * [[Bridgetown9]] – 9-tone albitonic scale |
| [[xenharmonic/neutraltet17|Seventeen note mega chromatic scale]]
| | * [[Bridgetown14]] – 14-tone chromatic scale |
|
| |
|
| =Tridec=
| | ; Music |
| Subgroup: 2.7/5.11/5.13/5
| | * [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]] |
| Commas: 847/845, 1001/1000
| | * ''Route 14 in Bridgetown'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 play] – in Bridgetown[14] for flute, bassoons, and contra-bassoon |
| Sval name: 5&8
| |
|
| |
|
| POTE generator: ~13/10 = 454.461
| | == Haumea == |
| | {{See also| Subgroup temperaments #Haumea }} |
|
| |
|
| Map: [<1 2 0 1|, <0 -4 3 1|]
| | Scales: |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c
| | * [[Haumea5]] – 5-tone haplotonic scale |
| Error: 1.057
| | * [[Haumea9]] – 9-tone albitonic scale |
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[xenharmonic/Tridec8|Eight note albitonic scale]]
| | == Neutral == |
| [[xenharmonic/Tridec13|Thirteen note chromatic scale]]
| | {{See also| Rastmic clan #Neutral }} |
|
| |
|
| =Pepperoni=
| | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| Subgroup: 2.3.11/7.13/7
| |
| Commas: 352/351, 364/363
| |
| 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.
| |
|
| |
|
| POTE generator: ~3/2 = 704.052
| | Scales: |
| | * [[Neutral7]] – 7-tone albitonic scale |
| | * [[Neutral10]] – 10-tone chromatic scale |
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | ; Music |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| | * [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 Neutral[7], 24edo tuning |
| Error: 1.298 cents
| |
|
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|
| [[xenharmonic/pepperoni7|Seven note albitonic scale]] | | == Slendric == |
| [[xenharmonic/pepperoni12|Twelve note chromatic scale]] | | {{Main| Slendric }} |
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
|
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|
| =Slendric=
| | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| Subgroup: 2.3.7
| |
| Comma: 1029/1024
| |
| Sval name: 5&21
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|
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|
| POTE generator: ~8/7 = 233.688
| | Scales: |
| | * [[Slendric5]] – 5-tone haplotonic scale |
| | * [[Slendric6]] – 6-tone haplotonic scale |
| | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 1 3|, <0 3 -1|]
| | == Huntington == |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| Error: 1.109 cents
| |
|
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|
| [[image:xenharmonic/slendric_190edo.jpg]] | | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
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|
| [[xenharmonic/slendric5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/slendric6|Six note haplotonic scale]] | | * [[Huntington7]] – 7-tone haplotonic scale |
| [[xenharmonic/slendric11|Eleven note albitonic scale]] | | * [[Huntington10]] – 10-tone albitonic scale |
| [[xenharmonic/slendric16|Sixteen note chromatic scale]]
| | * [[Huntington17]] – 17-tone chromatic scale |
|
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| ==Music== | | == Tobago == |
| [[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]
| | {{See also| Subgroup temperaments #Tobago }} |
| [[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]
| |
| by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
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|
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|
| =Marveltwintri=
| | Scales: |
| Subgroup: 2.5/3.13/9
| | * [[Tobago6]] – 6-tone haplotonic scale |
| Comma: 325/324
| | * [[Tobago10]] – 10-tone albitonic scale |
| Svalname: 3&4
| | * [[Tobago14]] – 14-tone chromatic scale |
| | * [[Tobago24]] – 24-tone quatertone scale |
|
| |
|
| POTE generator: ~6/5 = 317.755
| | == Pepperoni == |
| | {{See also| Parapyth }} |
| | {{See also| Subgroup temperaments #Pepperoni }} |
|
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|
| Map: [<1 0 2|, <0 1 -2|]
| | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b
| |
| Error: 1.413 cents
| |
|
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|
| [[xenharmonic/marveltwintri7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/marveltwintri11|Eleven note chromatic scale]] | | * [[Pepperoni7]] – 7-tone albitonic scale |
| [[xenharmonic/marveltwintri15|Fifteen note mega chromatic scale]]
| | * [[Pepperoni12]] – 12-tone chromatic scale |
|
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|
| =Nestoria= | | == Wizz == |
| Subgroup: 2.3.5.19
| | {{See also| No-threes subgroup temperaments #Wizz }} |
| Commas: 361/360, 513/512
| |
| Sval name: 12&29
| |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
| |
|
| |
|
| POTE generator: ~3/2 = 701.746
| | Scales: |
| | * [[Wizz6]] – 6-tone haplotonic scale |
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
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|
| Map: [<1 0 15 9|, <0 1 -8 -3|]
| | == Bossier == |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| Error: 1.819 cents
| |
|
| |
|
| [[xenharmonic/nestoria7|Seven note albitonic scale]] | | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| [[xenharmonic/nestoria12|Twelve note chromatic scale]]
| |
|
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|
| =Marveltri=
| | Scales: |
| Subgroup: 2.5.9/7
| | * [[Bossier8]] – 8-tone albitonic scale |
| Comma: 225/224
| | * [[Bossier11]] – 11-tone chromatic scale |
| Sval name: 3&13
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
| Related temperaments: marvel, 22&47, magic
| |
|
| |
|
| POTE generator: ~5/4 = 382.618
| | == Penta a.k.a. mechanism == |
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
|
| |
|
| Map: [<1 0 5|, <0 1 -2|]
| | Scales: |
| EDOs: 12, 13, 16, 19, 22, 47, 69
| | * [[Penta5]] – 5-tone haplotonic scale |
| Error: 2.043 cents
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[xenharmonic/marveltri7|Seven note albitonic scale]]
| | == Bluebirds == |
| [[xenharmonic/marveltri10|Ten note chromatic scale]]
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| [[xenharmonic/marveltri13|Thirteen note mega chromatic scale]]
| |
|
| |
|
| =Penta=
| | Scales: |
| Subgroup: 2.9.7.11
| | * [[Bluebirds6]] – 6-tone haplotonic scale |
| Commas: 896/891, 26411/26244
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| Svalname: 8&11
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~9/7 = 438.465
| | == Marveltri == |
| | {{See also| Subgroup temperaments #Marveltri }} |
|
| |
|
| Map: [<1 0 -1 6|, <0 5 6 -4|]
| | Scales: |
| EDOs: 8, 11, 30, 41, 52
| | * [[Marveltri7]] – 7-tone albitonic scale |
| Error: 2.260
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
| |
|
| [[xenharmonic/penta5|Five note haplotonic scale]]
| | == Edson == |
| [[xenharmonic/penta9|Nine note albitonic scale]]
| | {{See also| Subgroup temperaments #Edson }} |
| [[xenharmonic/penta13|Thirteen chromatic note scale]]
| |
| [[xenharmonic/penta17|Seventeen note mega chromatic scale]]
| |
|
| |
|
| =Guanyintet=
| | Scales: |
| Subgroup: 2.5.7/3.11/3
| | * [[Edson5]] – 5-tone haplotonic scale |
| Commas: 176/175, 540/539
| | * [[Edson7]] – 7-tone albitonic scale |
| Svalname: 4&9
| | * [[Edson12]] – 12-tone chromatic scale |
| Related temperaments: guanyin, orwell
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~7/6 = 269.619
| | == Photia == |
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
|
| |
|
| Map: [<1 0 2 -2|, <0 3 -1 5|]
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd
| |
| Error: 2.533 cents
| |
|
| |
|
| [[xenharmonic/guanyintet5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/guanyintet9|Nine note albitonic scale]] | | * [[Photia7]] – 7-tone albitonic scale |
| [[xenharmonic/guanyintet13|Thirteen note chromatic scale]]
| | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| =Photia= | | == Shoe a.k.a. llywelyn == |
| Subgroup: 2.3.5.17.19
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| Commas: 171/170, 256/255, 324/323
| |
| Sval name: 12&41
| |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
| |
|
| |
|
| POTE generator: ~3/2 = 701.470
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
|
| |
|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| Error: 3.457 cents
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| [[xenharmonic/photia7|Seven note albitonic scale]]
| | == Roulette == |
| [[xenharmonic/photia12|Twelve note chromatic scale]]
| | {{See also | Hemimean clan #Roulette }} |
|
| |
|
| =Huntington=
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| Subgroup: 2.5.7.13
| |
| Commas: 640/637, 10985/10976
| |
| Sval name: 10&27
| |
|
| |
|
| POTE generator: ~16/13 = 357.002
| | Scales: |
| | * [[Roulette6]] – 6-tone haplotonic scale |
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | == Silver == |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| | {{See also | No-threes subgroup temperaments #Silver }} |
| Error: 2.1001 cents
| |
|
| |
|
| [[image:huntington_400edo.jpg]] | | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
|
| |
|
| [[xenharmonic/huntington7|Seven note haplotonic scale]] | | Scales: |
| [[xenharmonic/huntington10|Ten note albitonic scale]] | | * [[Silver7]] – 7-tone haplotonic scale |
| [[xenharmonic/huntington17|Seventeen note chromatic scale]] | | * [[Silver10]] – 10-tone albitonic scale |
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| =Shoe= | | == Baldy == |
| Subgroup: 2.5.7.11.13 | | {{See also| Subgroup temperaments #Baldy }} |
| Commas: 176/175, 640/637, 847/845
| |
| Sval name: 16&21
| |
|
| |
|
| POTE generator: ~8/7 = 227.108
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
|
| |
|
| Map: [<1 1 3 1 2|, <0 7 -1 13 9|]
| | Scales |
| EDOs: 16, 21, 37
| | * [[Baldy6]] – 6-tone haplotonic scale |
| Error: 2.488
| | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| [[image:xenharmonic/shoe_37edo.jpg]]
| |
|
| |
|
| [[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
| | == Guanyintet == |
| [[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
| | {{See also | Subgroup temperaments #Guanyintet }} |
| [[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Roulette=
| | Scales: |
| Subgroup: 2.5.7.11.13
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Commas: 176/175, 1375/1372, 640/637
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| Sval name: 6&25
| | * [[Guanyintet13]] – 13-tone chromatic scale |
| Related temperament: [[xenharmonic/Wuerschmidt family|Hemiwuerschmidt]]
| |
|
| |
|
| POTE generator: ~28/25 = 194.594
| | == Radon == |
| | {{See also| Gamelismic clan #Radon }} |
|
| |
|
| Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| |
| Error: 2.555 cents
| |
|
| |
|
| [[image:xenharmonic/roulette_37edo.jpg]] | | * [[Radon5]] – 5-tone haplotonic scale |
| | * [[Radon11]] – 11-tone albitonic scale |
| | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| [[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
| | == Gariberttet == |
| [[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]]
| | {{See also | Subgroup temperaments #Gariberttet }} |
| [[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
| [[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]
| |
|
| |
|
| =Garibaldi=
| | Scales: |
| Group: 2.3.5.7
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Commas: 225/224, 3125/3087
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| Val name: 12&29
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 702.085
| | == Namo == |
| | {{See also| Rastmic clan #Namo }} |
|
| |
|
| Map: [<1 0 15 25|, <0 1 -8 -14|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 94
| | * [[Namo7]] – 7-tone haplotonic scale |
| Error: 2.834
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| [[xenharmonic/garibaldi12|Twelve note albitonic scale]]
| | == Sentry == |
| [[xenharmonic/garibaldi17|Seventeen note chromatic scale]]
| | {{See also | Subgroup temperaments #Sentry }} |
|
| |
|
| =Baldy=
| | Scales: |
| Subgroup: 2.9.5.7.13
| | * [[Sentry5]] – 5-tone haplotonic scale |
| Commas: 225/224, 325/324, 640/637
| | * [[Sentry8]] – 8-tone albitonic scale |
| Sval name: 6&35
| | * [[Sentry11]] – 11-tone chromatic scale |
| Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]
| |
|
| |
|
| POTE generator: ~9/8 = 204.090
| | == Hemif == |
| | {{See also| No-fives subgroup temperaments #Hemif }} |
|
| |
|
| Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|]
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
| EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]]
| |
| Error: 2.617 cents
| |
|
| |
|
| [[image:baldy_147edo.jpg]] | | Scales: |
| | * [[Hemif7]] – 7-tone haplotonic scale |
| | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| [[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
| | == Garibaldi == |
| [[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
| | {{Main| Garibaldi temperament }} |
| [[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| | {{See also| Schismatic family #Garibaldi }} |
|
| |
|
| =Bossier=
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| Subgroup: 2.7.11.13
| |
| Commas: 1573/1569, 15488/15379
| |
| Sval name: 3&17
| |
|
| |
|
| POTE generator: ~14/11 = 421.309
| | Scales: |
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 1 3|, <0 8 7 2|]
| | == Mabilic == |
| EDOs: 17, 20, 37, 57, 94, 225
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| Error: 2.665 cents
| |
|
| |
|
| [[image:bossier_225edo.jpg]] | | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
|
| |
|
| [[xenharmonic/bossier8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/bossier11|Eleven note chromatic scale]] | | * [[Mabilic7]] – 7-tone haplotonic scale |
| [[xenharmonic/bossier14|Fourteen note mega chromatic scale]] | | * [[Mabilic9]] – 9-tone albitonic scale |
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| =Radon= | | == Indium == |
| Subgroup: 2.3.7.11 | | {{See also | Subgroup temperaments #Indium }} |
| Commas: 896/891, 1029/1024
| |
| Sval name: 5&36
| |
| Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]
| |
|
| |
|
| POTE generator: ~8/7 = 234.381
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
|
| |
|
| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | Scales: |
| EDOs: 5, 36, 41, 87, 128
| | * [[Indium8]] – 8-tone albitonic scale |
| Error: 2.925 cents
| | * [[Indium17]] – 17-tone chromatic scale |
|
| |
|
| [[image:radon_128edo.jpg]] | | ; Music |
| | * ''The Cry of Indium'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/the-cry-of-indium/ blog] | [https://web.archive.org/web/20201127012551/http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 play] – in Indium[17] |
|
| |
|
| [[xenharmonic/radon5|Five note haplotonic scale]]
| | == Starlingtet == |
| [[xenharmonic/radon11|Eleven note albitonic scale]]
| | {{See also | Subgroup temperaments #Starlingtet }} |
| [[xenharmonic/radon16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Myna=
| | Scales: |
| Group: 2.3.5.7
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| Commas: 126/125, 1728/1715
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| Val name: 4&27
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~6/5 = 310.146
| | == Lovecraft == |
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
|
| |
|
| Map: [<1 9 9 8|, <0 -10 -9 -7|]
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| EDOs: 4, 27, 31, 58, 89
| |
| Error: 3.310 cents
| |
|
| |
|
| [[image:myna_89edo.jpg]] | | Scales: |
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/myna7|Seven note haplotonic scale]]
| | == Blackbirds == |
| [[xenharmonic/myna11|Eleven note albitonic scale]]
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| [[xenharmonic/myna15|Fifteen note chromatic scale]]
| |
|
| |
|
| =Silver=
| | Scales: |
| Subgroup: 2.5.7.13.17
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| Commas: 170/169, 640/637, 5525/5488
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| Sval name: 10&27
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~13/8 = 842.711
| | == Laz == |
| | {{See also | Subgroup temperaments #Laz }} |
|
| |
|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
| | Scales: |
| EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|487]]
| | * [[Laz5]] – 5-tone haplotonic scale |
| Error: 3.437
| | * [[Laz9]] – 9-tone albitonic scale |
| | * [[Laz13]] – 13-tone chromatic scale |
|
| |
|
| [[image:silver_487edo.jpg]]
| | == Myna == |
| | {{Main| Myna }} |
| | {{See also| Starling temperaments #Myna }} |
|
| |
|
| [[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| [[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Mabila=
| | Scales: |
| Subgroup: 2.5.7
| | * [[Myna7]] – 7-tone haplotonic scale |
| Comma: 1071875/1048576
| | * [[Myna11]] – 11-tone albitonic scale |
| Sval name: 7&9
| | * [[Myna15]] – 15-tone chromatic scale |
|
| |
|
| POTE generator: ~175/128 = 527.236
| | == Greeley == |
| | {{See also| Subgroup temperaments #Greeley }} |
|
| |
|
| Map: [<1 1 5|, <0 3 -5|]
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| EDOs: 7, 9, 16, 25, 41, 66
| |
| Error: 3.560
| |
|
| |
|
| [[image:mabila_66edo.jpg]] | | Scales: |
| | * [[Greeley8]] – 8-tone albitonic scale |
| | * [[Greeley15]] – 15-tone chromatic scale |
|
| |
|
| [[xenharmonic/mabila7|Seven note haplotonic scale]] | | ; Music |
| [[xenharmonic/mabila9|Nine note albitonic scale]] | | * ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15] |
| [[xenharmonic/mabila16|Sixteen note chromatic scale]] | |
|
| |
|
| =Meantone= | | == Ammon == |
| Group: 2.3.5.7
| | {{See also| Subgroup temperaments #Ammon }} |
| Commas: 81/80, 126/125
| |
| Val name: 12&19
| |
|
| |
|
| POTE generator: 696.495
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
|
| |
|
| Map: [<1 0 -4 -13|, <0 1 4 10|]
| | Scales: |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143
| | * [[Ammon8]] – 8-tone albitonic scale |
| Error: 3.585
| | * [[Ammon13]] – 13-tone chromatic scale |
|
| |
|
| [[image:meantone_31edo.jpg]]
| | == Mothwelltri == |
| | {{See also| Subgroup temperaments #Mothwelltri }} |
|
| |
|
| [[xenharmonic/meantone5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/meantone7|Seven note albitonic scale]] | | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| [[xenharmonic/meantone12|Twelve note chromatic scale]] | | * [[Mothwelltri9]] – 9-tone albitonic scale |
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
|
| |
|
| =Starlingtet= | | == Sulis == |
| Group: 2.5/3.7/3
| | {{See also| Subgroup temperaments #Sulis }} |
| Comma: 126/125
| |
| Svalname: 4&15
| |
| Related temperaments: starling; becomes myna
| |
| POTE generator: ~6/5 = 311.213
| |
|
| |
|
| Map: [<1 0 -1|, <0 1 3|]
| | Scales: |
| EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
| | * [[Sulis7]] – 7-tone haplotonic scale |
| Error: 311.213
| | * [[Sulis10]] – 10-tone albitonic scale |
| | * [[Sulis13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/starlingtet4|Four note haplotonic scale]]
| | == Skwares == |
| [[xenharmonic/starlingtet7|Seven note albitonic scale]]
| | {{Main| Squares }} |
| [[xenharmonic/starlingtet11|Eleven note chromatic scale]]
| | {{See also| No-fives subgroup temperaments #Skwares }} |
|
| |
|
| =Indium=
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| Subgroup: 2.5/3.7/3.11/3
| |
| Commas: 3025/3024, 3125/3087
| |
| Sval name: 8&33
| |
|
| |
|
| POTE generator: ~12/11 = 147.159
| | Scales: |
| | * [[Skwares8]] – 8-tone albitonic scale |
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| | * [[Skwares14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | == Orwell == |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| | {{Main| Orwell }} |
| Error: 3.968 cents
| | {{See also| Semicomma family #Orwell }} |
|
| |
|
| [[xenharmonic/indium8|Eight note albitonic scale]] | | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| [[xenharmonic/indium17|Seventeen note chromatic scale]]
| |
|
| |
|
| Music
| | Scales: |
| [[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]] (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1532|details]] | | * [[Orwell5]] – 5-tone haplotonic scale |
| | * [[Orwell9]] – 9-tone albitonic scale |
| | * [[Orwell13]] – 13-tone chromatic scale |
|
| |
|
| =Magic= | | == Magicaltet == |
| Group: 2.3.5.7.11
| | {{See also| Subgroup temperaments #Magicaltet }} |
| Commas: 100/99, 225/224, 245/243
| |
| Val name: 19&22
| |
|
| |
|
| POTE generator: ~5/4 = 380.696
| | Scales: |
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
| | == Magic == |
| EDOs: 19, 22, 41, 104, 145
| | {{Main| Magic }} |
| Error: 4.489
| | {{See also| Magic family #Magic }} |
|
| |
|
| [[image:xenharmonic/magic_145edo.jpg]] | | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
|
| |
|
| [[xenharmonic/magic7|Seven note haplotonic scale]] | | Scales: |
| [[xenharmonic/magic10|Ten note albitonic scale]] | | * [[Magic7]] – 7-tone haplotonic scale |
| [[xenharmonic/magic13|Thirteen note chromatic scale]] | | * [[Magic10]] – 10-tone albitonic scale |
| [[xenharmonic/magic16|Sixteen note mega chromatic scale]] | | * [[Magic13]] – 13-tone chromatic scale |
| | * [[Magic16]] – 16-tone mega-chromatic scale |
|
| |
|
| =Gariberttet= | | == Kiribati == |
| Subgroup: 2.5/3.7/3.13/11 | | {{See also| Subgroup temperaments #Kiribati }} |
| Commas: 275/273, 847/845
| |
| Svalname: 4&29
| |
|
| |
|
| POTE generator: ~13/11 = 292.418
| | Scales: |
| | * [[Kiribati13]] – 13-tone chromatic scale |
| | * [[Kiribati14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 0 0 0|, <0 3 5 1|]
| | == Score == |
| EDOs: 29, 33, 37, 41, 78
| | {{See also|No-threes subgroup temperaments #Score }} |
| Error: 4.473
| |
|
| |
|
| [[xenharmonic/gariberttet5|Five note haplotonic scale]] | | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| [[xenharmonic/gariberttet9|Nine note albitonic scale]]
| |
| [[xenharmonic/gariberttet13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Hemif=
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Score5]] – 5-tone haplotonic scale |
| Commas: 144/143, 243/242, 364/363
| | * [[Score7]] – 7-tone albitonic scale |
| Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]
| | * [[Score9]] – 9-tone mega-albitonic scale |
| | * [[Score11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | == Sensi == |
| | {{Main| Sensi }} |
| | {{See also| Sensipent family #Sensi }} |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| EDOs: 7, 10, 17, 24, 41, 58
| |
| Error: 4.867 cents
| |
|
| |
|
| [[image:hemif_58edo.jpg]] | | Scales: |
| | * [[Sensi5]] – 5-tone haplotonic scale |
| | * [[Sensi8]] – 8-tone albitonic scale |
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| [[xenharmonic/hemif7|Seven note haplotonic scale]]
| | === Sensation === |
| [[xenharmonic/hemif10|Ten note albitonic scale]]
| | {{Main| Sensi }} |
| [[xenharmonic/hemif17|Seventeen note chromatic scale]]
| | {{See also| Sensipent family #Sensi }} |
|
| |
|
| =Skwares=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Commas: 99/98, 243/242
| | * [[Sensi8]] – 8-tone albitonic scale |
| Related temperament: [[xenharmonic/Meantone family|squares]]
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | == Meantone == |
| | {{Main| Meantone }} |
| | {{See also| Meantone family #Meantone }} |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| |
| Error: 4.942 cents
| |
|
| |
|
| [[xenharmonic/skwares8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/skwares11|Eleven note mega albitonic scale]] | | * [[Meantone5]] – 5-tone haplotonic scale |
| [[xenharmonic/skwares14|Fourteen note chromatic scale]] | | * [[Meantone7]] – 7-tone albitonic scale |
| | * [[Meantone12]] – 12-tone chromatic scale |
|
| |
|
| =Sensi= | | == Mohaha == |
| Group: 2.3.5.7
| | {{See also| Rastmic clan #Mohaha }} |
| Commas: 126/126, 245/243
| |
| Val name: 19&27
| |
|
| |
|
| POTE generator: ~9/7 = 443.383
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
|
| |
|
| Map: [<1 6 8 11|, <0 -7 -9 -13|]
| | Scales: |
| EDOs: 5, 8, 11, 19, 27, 46
| | * [[Mohaha7]] – 7-tone albitonic scale |
| Error: 5.019
| | * [[Mohaha10]] – 10-tone chromatic scale |
|
| |
|
| [[image:xenharmonic/sensi_46edo.jpg]] | | Music: |
| | ; [[Billy Stiltner]] |
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
|
| |
|
| [[xenharmonic/sensi5|Five note haplotonic scale]]
| | === Mohoho === |
| [[xenharmonic/sensi8|Eight note albitonic scale]]
| | {{See also| Rastmic clan #Mohoho }} |
| [[xenharmonic/sensi11|Eleven note mega albitonic scale]]
| |
| [[xenharmonic/sensi19|Nineteen note chromatic scale]]
| |
|
| |
|
| =Greeley= | | == Joan == |
| Subgroup: 2.5/3.7/3.11/3 | | {{See also| Subgroup temperaments #Joan }} |
| Commas: 121/120, 126/125
| |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | Scales: |
| | * [[Joan5]] – 5-tone haplotonic scale |
| | * [[Joan7]] – 7-tone albitonic scale |
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| | * [[Joan11]] – 11-tone chromatic scale |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | == Tutone == |
| EDOs: 8, 15, 23, 77, 100
| | {{See also| Hemimean clan #Tutone }} |
| Error: 5.404 cents
| |
|
| |
|
| [[xenharmonic/greeley8|Eight note albitonic scale]] | | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| [[xenharmonic/greeley15|Fifteen note chromatic scale]]
| |
|
| |
|
| ==Music==
| | Scales: |
| [[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]] by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15 | | * [[Tutone6]] – 6-tone haplotonic scale |
| | * [[Tutone7]] – 7-tone albitonic scale |
| | * [[Tutone13]] – 13-tone chromatic scale |
|
| |
|
| =Semidim= | | == Stacks == |
| Subgroup: 2.5/3.7/3.11/3.13/3 | | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| Commas: 121/120, 169/168, 275/273
| |
| Sval name: 8&29
| |
|
| |
|
| POTE generator: ~13/10 = 453.190
| | Scales: |
| | * [[Stacks5]] – 5-tone haplotonic scale |
| | * [[Stacks8]] – 8-tone albitonic scale |
| | * [[Stacks11]] – 11-tone chromatic scale |
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | == Bleu == |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| Error: 5.433 cents
| |
|
| |
|
| [[xenharmonic/semidim8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/semidim13|Thirteen note chromatic scale]] | | * [[Bleu8]] – 8-tone haplotonic scale |
| | * [[Bleu9]] – 9-tone albitonic scale |
| | * [[Bleu17]] – 17-tone chromatic scale |
|
| |
|
| =Orwell= | | == Sephiroth == |
| Group: 2.3.5.7.11
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| Commas: 99/98, 121/120, 176/175
| |
| Val name: 9&22
| |
|
| |
|
| POTE generator: ~7/6 = 271.426
| | Scales: |
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
| | == Archy == |
| EDOs: 9, 22, 31, 53, 84
| | {{Main| Superpyth }} |
| Error: 5.584
| | {{See also| Archytas clan #Archy }} |
|
| |
|
| [[image:xenharmonic/orwell_84edo.png]] | | Scales: |
| | * [[Archy5]] – 5-tone haplotonic scale |
| | * [[Archy7]] – 7-tone albitonic scale |
| | * [[Archy12]] – 12-tone chromatic scale |
|
| |
|
| [[xenharmonic/orwell5|Five note haplotonic scale]]
| | === Supra === |
| [[xenharmonic/orwell9|Nine note albitonic scale]]
| | {{Main| Superpyth }} |
| [[xenharmonic/orwell13|Thirteen note chromatic scale]]
| | {{See also| Archytas clan #Supra }} |
|
| |
|
| =Magicaltet=
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| Group: 2.5/3.7.11
| |
| Commas: 100/99, 385/384
| |
| Related temperaments: 4&7&15, magic
| |
|
| |
|
| POTE generator: ~6/5 = 319.424
| | Scales: |
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
|
| |
|
| Map: [<1 0 5 2|, <0 1 -3 2|]
| | === Supraphon === |
| EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd
| | {{Main| Superpyth }} |
| Error: 5.720 cents
| | {{See also| Archytas clan #Supraphon }} |
|
| |
|
| [[xenharmonic/magicaltet7|Seven note albitonic scale]]
| | == Suhajira == |
| [[xenharmonic/magicaltet11|Eleven note chromatic scale]]
| | {{See also| Archytas clan #Suhajira }} |
| [[xenharmonic/magicaltet15|Fifteen note mega scale]]
| |
|
| |
|
| =Sentry=
| | Scales: |
| Group: 2.5/3.9/7
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| Commas: 245/243
| | * [[Suhajira10]] – 10-tone albitonic scale |
| Svalname: 3&5
| | * [[Suhajira17]] – 17-tone chromatic scale |
| Related temperaments: sensi
| |
|
| |
|
| POTE generator: ~9/7 = 438.574
| | == Machine == |
| | {{See also| Subgroup temperaments #Machine}} |
|
| |
|
| Map: [<1 0 0|, <0 2 1|]
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| EDOs: 8, 11, 30, 41, 52, 145b, 197bc
| |
| Error: 5.793 cents
| |
|
| |
|
| [[xenharmonic/sentry5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/sentry8|Eight note albitonic scale]] | | * [[Machine5]] – 5-tone haplotonic scale |
| [[xenharmonic/sentry11|Eleven note note chromatic scale]] | | * [[Machine6]] – 6-tone albitonic scale |
| | * [[Machine11]] – 11-tone chromatic scale |
|
| |
|
| =Mothwelltri= | | == Deutone == |
| Group: 2.7/3.11
| | {{See also| Hemimean clan #Deutone }} |
| Comma: 99/98
| |
| Svalname: 1&4
| |
| Related temperament: Orwell
| |
|
| |
|
| POTE generator:~7/6 = 268.508
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
|
| |
|
| Map: [<1 0 1|, <0 1 2|]
| | Scales: |
| EDOs: 9, 40, 49c, 58c, 67c, 76c
| | * [[Deutone6]] – 6-tone haplotonic scale |
| Error: 6.119 cents
| | * [[Deutone7]] – 7-tone albitonic scale |
| | * [[Deutone13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/mothwelltri5|Five note haplotonic scale]]
| | == Negra == |
| [[xenharmonic/mothwelltri9|Nine note albitonic scale]]
| | {{Main| Negri }} |
| [[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]
| | {{See also| Marvel temperaments #Negri }} |
|
| |
|
| =Lovecraft= | | == Porkypine == |
| Group: 2.11.13
| | {{Main| Porcupine }} |
| | {{See also| Porcupine family #Porcupine }} |
|
| |
|
| POTE generator: ~13/11 = 279.318
| | Scales: |
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| | * [[Porkypine8]] – 8-tone albitonic scale |
| | * [[Porkypine15]] – 15-tone chromatic scale |
|
| |
|
| Map: [<1 1 0|, <0 2 3|]
| | == Skateboard == |
| EDOS: 13, 30, 43, 73, 116b
| | {{See also| Subgroup temperaments #Skateboard }} |
| Error: 6.026 cents
| |
|
| |
|
| [[xenharmonic/lovecraft5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/lovecraft9|Nine note albitonic scale]] | | * [[Skateboard7]] – 7-tone haplotonic scale |
| [[xenharmonic/lovecraft13|Thirteen note chromatic scale]] | | * [[Skateboard11]] – 11-tone albitonic scale |
| | * [[Skateboard15]] – 15-tone chromatic scale |
|
| |
|
| =Bleu= | | == Augment == |
| Group: 2.3.7.11.13
| | {{See also| No-threes subgroup temperaments #Augment }} |
| Commas: 78/77, 99/98, 144/143
| |
| Sval name: 9&17
| |
|
| |
|
| POTE generator: ~13/12 = 139.990
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
|
| |
|
| Map: [<1 1 2 3 3|, <0 5 7 4 6|]
| | Scales: |
| EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
| | * [[Augment6]] – 6-tone haplotonic scale |
| Error: 6.361 cents
| | * [[Augment9]] – 9-tone albitonic scale |
| | * [[Augment12]] – 12-tone chromatic scale |
|
| |
|
| [[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]]
| | == Semaphore == |
| [[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
| | {{Main| Semaphore and godzilla }} |
| [[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| | {{See also| Semaphoresmic clan #Semaphore }} |
|
| |
|
| =Mohaha=
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| Subgroup: 2.3.5.11
| |
| Commas: 81/80, 121/120
| |
| Related temperament: [[xenharmonic/Meantone family|mohajira]]
| |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | Scales: |
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| | * [[Semaphore9]] – 9-tone albitonic scale |
| | * [[Semaphore14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | == Kryptonite == |
| EDOs: 24, 31, 69d, 100d, 131bd
| | {{See also| Subgroup temperaments #Kryptonite }} |
| Error: 6.733 cents
| |
|
| |
|
| [[xenharmonic/mohaha7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/mohaha10|Ten note chromatic scale]] | | * [[Kryptonite9]] – 9-tone albitonic scale |
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
|
| |
|
| ==Mohoho== | | == Oregon == |
| Subgroup: 2.3.5.11.13
| | {{See also| Orgonia #Oregon }} |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | Scales: |
| | * [[Oregon7]] – 7-tone haplotonic scale |
| | * [[Oregon11]] – 11-tone albitonic scale |
| | * [[Oregon15]] – 15-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | == Antikythera == |
| EDOs: 17c, 24, 31, 55, 86de, 141cde
| | {{See also| Jubilismic clan #Antikythera }} |
| Error: 9.556 cents
| |
|
| |
|
| =Stacks=
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| Subgroup: 2.9.15.7.11.13
| |
| Commas: 100/99, 105/104, 144/143, 196/195
| |
| Svalname: 11&30
| |
|
| |
|
| POTE generator: ~9/7 = 438.977
| | Scales: |
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| | * [[Antikythera10]] – 10-tone albitonic scale |
| | * [[Antikythera16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|]
| | == Glacial == |
| EDOs: 11, 30, 41
| | {{See also| Subgroup temperaments #Glacial }} |
| Error: 6.947 cents
| |
|
| |
|
| [[xenharmonic/stacks5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/stacks8|Eight note albitonic scale]] | | * [[Glacial6]] – 6-tone haplotonic scale |
| [[xenharmonic/stacks11|Eleven note note chromatic scale]] | | * [[Glacial7]] – 7-tone albitonic scale |
| [[xenharmonic/stacks19|Nineteen note note mega chromatic scale]]
| | * [[Glacial13]] – 13-tone chromatic scale |
|
| |
|
| =Tutone= | | == Leantone == |
| Subgroup: 2.9.5.7.11
| | {{See also| Hemimean clan #Leantone }} |
| Commas: 81/80, 99/98, 126/125
| |
| Related temperament: [[xenharmonic/Meantone family|meantone]]
| |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | Scales: |
| EDOs: 25, 31, 68b, 99b
| | * [[Leantone6]] – 6-tone haplotonic scale |
| Error: 7.047 cents
| | * [[Leantone7]] – 7-tone albitonic scale |
| | * [[Leantone13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/tutone6|Six note haplotonic scale]]
| | == Notes == |
| [[xenharmonic/tutone7|Seven note albitonic scale]]
| |
| [[xenharmonic/tutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Leantone=
| | [[Category:Lists of scales]] |
| Subgroup: 2.9.5.7.11
| | [[Category:Tempered scales| ]] |
| Commas: 45/44, 56/55, 81/80
| | [[Category:Listen]] |
| Related temperament: [[meanenneadecal]]
| | [[Category:Rank 2]] |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | {{todo|cleanup}} |
| | |
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| |
| Error: 20.338 cents
| |
| | |
| [[xenharmonic/leantone6|Six note haplotonic scale]]
| |
| [[xenharmonic/leantone7|Seven note albitonic scale]]
| |
| [[xenharmonic/leantone13|Thirteen note chromatic scale]]
| |
| | |
| =Score=
| |
| Subgroup: 2.7.11.13
| |
| Commas: 343/338, 847/832
| |
| | |
| POTE generator: ~11/8 = 540.099
| |
| | |
| Map: [<1 1 3 1|, <0 4 1 6|]
| |
| EDOs: 5, 7, 9, 11, 20
| |
| Error: 8.052 cents
| |
| | |
| [[image:xenharmonic/score_20edo.jpg]]
| |
| | |
| [[xenharmonic/score5|Five note haplotonic scale]]
| |
| [[xenharmonic/score7|Seven note albitonic scale]]
| |
| [[xenharmonic/score9|Nine note mega albitonic scale]]
| |
| [[xenharmonic/score11|Eleven note chromatic scale]]
| |
| | |
| =Supra=
| |
| Subgroup: 2.3.7.11
| |
| Commas: 64/63, 99/98
| |
| Related temperament: [[xenharmonic/suprapyth|suprapyth]]
| |
| | |
| POTE generator: ~3/2 = 707.192
| |
| | |
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| |
| EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
| |
| Error: 9.795 cents
| |
| | |
| [[xenharmonic/supra7|Seven note albitonic scale]]
| |
| [[xenharmonic/supra12|Twelve note chromatic scale]]
| |
| | |
| ==Supraphon==
| |
| Subgroup: 2.3.7.11.13
| |
| Commas: 64/63, 78/77, 99/98
| |
| | |
| POTE generator: ~3/2 = 706.137
| |
| | |
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| |
| EDOs: 5, 7, 12, 17
| |
| Error: 10.534 cents
| |
| | |
| ==Machine==
| |
| Subgroup: 2.9.7.11
| |
| Commas: 64/63, 99/98
| |
| | |
| POTE generator: ~9/8 = 214.384
| |
| | |
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| |
| EDOs: 5, 6, 11, 17, 28
| |
| Error: 10.100 cents
| |
| | |
| [[xenharmonic/machine5|Five note haplotonic scale]]
| |
| [[xenharmonic/machine6|Six note albitonic scale]]
| |
| [[xenharmonic/machine11|Eleven note chromatic scale]]
| |
| | |
| =Antikythera=
| |
| Subgroup: 2.9.5.7
| |
| Commas: 50/49, 64/63
| |
| Related temperament: [[xenharmonic/pajara|pajara]]
| |
| | |
| POTE generator: ~8/7 = 214.095
| |
| | |
| Map: [<2 0 11 12|, <0 1 -1 -1|]
| |
| EDOS: 4, 6, 10, 16, 22, 28
| |
| Error: 11.508 cents
| |
| | |
| [[xenharmonic/antikythera6|Six note haplotonic scale]]
| |
| [[xenharmonic/antikythera10|Ten note albitonic scale]]
| |
| [[xenharmonic/antikythera16|Sixteen note chromatic scale]]
| |
| | |
| =Deutone=
| |
| Subgroup: 2.9.5.7.13
| |
| Commas: 65/64, 81/80, 91/90
| |
| Related temperament: [[xenharmonic/Meantone family|meanpop]]
| |
| | |
| POTE generator: ~9/8 = 191.059
| |
| | |
| Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]
| |
| EDOs: 6, 7, 13, 19, 25, 44, 69
| |
| Error: 12.145 cents
| |
| | |
| [[xenharmonic/deutone6|Six note haplotonic scale]]
| |
| [[xenharmonic/deutone7|seven note albitonic scale]]
| |
| [[xenharmonic/deutone13|Thirteen note chromatic scale]]
| |
| | |
| =Semiphore=
| |
| Subgroup: 2.3.7
| |
| Comma: 49/48
| |
| | |
| POTE generator: ~7/6 = 250.385
| |
| | |
| Map: [<1 0 2|, <0 2 1|]
| |
| EDOs: 5, 9, 14, 19, 24
| |
| Error: 12.428
| |
| | |
| [[xenharmonic/semiphore5|Five note haplotonic scale]]
| |
| [[xenharmonic/semiphore9|Nine note albitonic scale]]
| |
| [[xenharmonic/semiphore14|Fourteen note chromatic scale]]
| |
| | |
| =Augment=
| |
| Subgroup: 2.5.7.11
| |
| Commas: 56/55, 128/125
| |
| Related temperament: [[xenharmonic/Augmented family|augmented]]
| |
| | |
| POTE generator: ~8/7 = 228.275
| |
| | |
| Map: [<3 7 0 2|, <0 0 1 1|]
| |
| EDOs: 3, 6, 9, 15, 21
| |
| Error: 12.830 cents
| |
| | |
| [[xenharmonic/augment6|Six note haplotonic scale]]
| |
| [[xenharmonic/augment9|Nine note albitonic scale]]
| |
| [[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div>
| |
| <h4>Original HTML content:</h4>
| |
| <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:117:&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:117 --><!-- ws:start:WikiTextTocRule:118: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:118 --><!-- ws:start:WikiTextTocRule:119: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:119 --><!-- ws:start:WikiTextTocRule:120: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:120 --><!-- ws:start:WikiTextTocRule:121: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:121 --><!-- ws:start:WikiTextTocRule:122: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:122 --><!-- ws:start:WikiTextTocRule:123: --><!-- ws:end:WikiTextTocRule:123 --><!-- ws:start:WikiTextTocRule:124: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --><!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:130 --><!-- ws:start:WikiTextTocRule:131: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:131 --><!-- ws:start:WikiTextTocRule:132: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:133 --><!-- ws:start:WikiTextTocRule:134: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:134 --><!-- ws:start:WikiTextTocRule:135: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:135 --><!-- ws:start:WikiTextTocRule:136: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:136 --><!-- ws:start:WikiTextTocRule:137: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:137 --><!-- ws:start:WikiTextTocRule:138: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:138 --><!-- ws:start:WikiTextTocRule:139: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:139 --><!-- ws:start:WikiTextTocRule:140: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:140 --><!-- ws:start:WikiTextTocRule:141: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:141 --><!-- ws:start:WikiTextTocRule:142: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:142 --><!-- ws:start:WikiTextTocRule:143: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:143 --><!-- ws:start:WikiTextTocRule:144: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:144 --><!-- ws:start:WikiTextTocRule:145: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:145 --><!-- ws:start:WikiTextTocRule:146: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:146 --><!-- ws:start:WikiTextTocRule:147: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:147 --><!-- ws:start:WikiTextTocRule:148: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:148 --><!-- ws:start:WikiTextTocRule:149: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:149 --><!-- ws:start:WikiTextTocRule:150: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:150 --><!-- ws:start:WikiTextTocRule:151: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:151 --><!-- ws:start:WikiTextTocRule:152: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:152 --><!-- ws:start:WikiTextTocRule:153: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:153 --><!-- ws:start:WikiTextTocRule:154: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:154 --><!-- ws:start:WikiTextTocRule:155: --><!-- ws:end:WikiTextTocRule:155 --><!-- ws:start:WikiTextTocRule:156: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:156 --><!-- ws:start:WikiTextTocRule:157: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:157 --><!-- ws:start:WikiTextTocRule:158: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:158 --><!-- ws:start:WikiTextTocRule:159: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:159 --><!-- ws:start:WikiTextTocRule:160: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:160 --><!-- ws:start:WikiTextTocRule:161: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:161 --><!-- ws:start:WikiTextTocRule:162: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:162 --><!-- ws:start:WikiTextTocRule:163: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --> | <a href="#Semiphore">Semiphore</a><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: -->
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| <!-- ws:end:WikiTextTocRule:176 --><!-- 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">
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| </script><!-- ws:end:WikiTextMediaRule:0 --><br />
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| <hr />
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| <br />
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| <!-- 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 unweighted rms error with <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Target%20tunings">tuning target</a> the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:3 -->Terrain</h1>
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| Subgroup: 2.9/5.9/7<br />
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| Commas: 250047/250000<br />
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| Sval name: 6&amp;21<br />
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| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain">domain</a><br />
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| <br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/POTE%20generator">POTE generator</a>: ~10/9 = 182.462<br />
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| <br />
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| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
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| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
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| Error: 0.0443 cents<br />
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| <br />
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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.<br />
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| <br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15">Fifteen note chromatic scale</a><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Petrtri"></a><!-- ws:end:WikiTextHeadingRule:5 -->Petrtri</h1>
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| Subgroup: 2.11/5.13/5<br />
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| Comma: 2200/2197<br />
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| Svalname: 3&amp;5<br />
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| <br />
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| POTE generator: ~13/10 = 455.062<br />
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| <br />
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| Map: [&lt;1 0 1|, &lt;0 3 1|]<br />
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| EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c<br />
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| Error: 0.6258 cents<br />
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| <br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri5">Five note haplotonic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri8">Eight note albitonic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri13">Thirteen note chromatic scale</a><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Orgone"></a><!-- ws:end:WikiTextHeadingRule:7 -->Orgone</h1>
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| Subgroup: 2.7.11<br />
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| Commas: 65536/65219<br />
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| Svals: 4&amp;7<br />
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| <br />
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| POTE generator: ~77/64 = 323.372<br />
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| <br />
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| Map: [&lt;1 2 4|, &lt;0 3, -2|]<br />
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| EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308<br />
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| Error: 0.7313<br />
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| <br />
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| <!-- ws:start:WikiTextLocalImageRule:178:&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:178 --><br />
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| <br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone11">Eleven note chromatic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone15">Fifteen note mega chromatic scale</a><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:9:&lt;h1&gt; --><h1 id="toc4"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:9 -->Bridgetown</h1>
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| Subgroup: 2.3.11/5.13/5<br />
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| Commas: 352/351, 676/675<br />
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| Sval name: 5&amp;24<br />
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| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago">barabados</a><br />
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| <br />
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| POTE generator: ~15/13 = 248.285<br />
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| <br />
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| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
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| EDOs: 5, 9, 14, 19, 24, 29<br />
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| Error: 0.8996 cents<br />
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| <br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14">Fourteen note chromatic scale</a><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="Bridgetown-Music"></a><!-- ws:end:WikiTextHeadingRule:11 -->Music</h2>
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| <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> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Igliashon%20Jones">Igliashon Jones</a><br />
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| <a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow">Route 14 in Bridgetown</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:13 -->Cata</h1>
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| Subgroup: 2.3.5.13<br />
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| Commas: 325/324, 625/624<br />
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| Sval name: 15&amp;19<br />
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| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family">catakleismic</a><br />
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| <br />
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| POTE generator: ~6/5 = 317.076<br />
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| <br />
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| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
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| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd<br />
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| Error: 0.9355 cents<br />
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| <br />
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| <!-- ws:start:WikiTextLocalImageRule:179:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" /><!-- ws:end:WikiTextLocalImageRule:179 --><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata15">Fifteen note chromatic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata19">Nineteen note mega chromatic scale</a><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:15:&lt;h1&gt; --><h1 id="toc7"><a name="Neutraltet"></a><!-- ws:end:WikiTextHeadingRule:15 -->Neutraltet</h1>
| |
| Subgroup: 2.3.11<br />
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| Commas: 243/242<br />
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| Svalname: 7&amp;17<br />
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| <br />
| |
| POTE generator: ~11/9 = 350.525<br />
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| <br />
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| Map: [&lt;1 1 2|, &lt;0 2 5|]<br />
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| EDOs: 7, 17, 24, 65, 89, 202, 291, 380<br />
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| Error: 1.007<br />
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| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7">Seven note albitonic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet10">Ten note chromatic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:17:&lt;h1&gt; --><h1 id="toc8"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:17 -->Tridec</h1>
| |
| Subgroup: 2.7/5.11/5.13/5<br />
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| Commas: 847/845, 1001/1000<br />
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| Sval name: 5&amp;8<br />
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| <br />
| |
| POTE generator: ~13/10 = 454.461<br />
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| <br />
| |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
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| EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c<br />
| |
| Error: 1.057<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec13">Thirteen note chromatic scale</a><br />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:19:&lt;h1&gt; --><h1 id="toc9"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:19 -->Pepperoni</h1>
| |
| Subgroup: 2.3.11/7.13/7<br />
| |
| Commas: 352/351, 364/363<br />
| |
| Sval name: 5&amp;12<br />
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| 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 />
| |
| POTE generator: ~3/2 = 704.052<br />
| |
| <br />
| |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
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| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| |
| Error: 1.298 cents<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 />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:21:&lt;h1&gt; --><h1 id="toc10"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:21 -->Slendric</h1>
| |
| Subgroup: 2.3.7<br />
| |
| Comma: 1029/1024<br />
| |
| Sval name: 5&amp;21<br />
| |
| <br />
| |
| POTE generator: ~8/7 = 233.688<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 />
| |
| Error: 1.109 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:180:&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:180 --><br />
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| <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 />
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| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16">Sixteen note chromatic scale</a><br />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:23:&lt;h2&gt; --><h2 id="toc11"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:23 -->Music</h2>
| |
| <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><br />
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| <a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a><br />
| |
| 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="Marveltwintri"></a><!-- ws:end:WikiTextHeadingRule:25 -->Marveltwintri</h1>
| |
| Subgroup: 2.5/3.13/9<br />
| |
| Comma: 325/324<br />
| |
| Svalname: 3&amp;4<br />
| |
| <br />
| |
| POTE generator: ~6/5 = 317.755<br />
| |
| <br />
| |
| Map: [&lt;1 0 2|, &lt;0 1 -2|]<br />
| |
| EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b<br />
| |
| Error: 1.413 cents<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:27:&lt;h1&gt; --><h1 id="toc13"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:27 -->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 />
| |
| POTE generator: ~3/2 = 701.746<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| |
| Error: 1.819 cents<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 />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:29:&lt;h1&gt; --><h1 id="toc14"><a name="Marveltri"></a><!-- ws:end:WikiTextHeadingRule:29 -->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 />
| |
| POTE generator: ~5/4 = 382.618<br />
| |
| <br />
| |
| Map: [&lt;1 0 5|, &lt;0 1 -2|]<br />
| |
| EDOs: 12, 13, 16, 19, 22, 47, 69<br />
| |
| Error: 2.043 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:31:&lt;h1&gt; --><h1 id="toc15"><a name="Penta"></a><!-- ws:end:WikiTextHeadingRule:31 -->Penta</h1>
| |
| Subgroup: 2.9.7.11<br />
| |
| Commas: 896/891, 26411/26244<br />
| |
| Svalname: 8&amp;11<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 438.465<br />
| |
| <br />
| |
| Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]<br />
| |
| EDOs: 8, 11, 30, 41, 52<br />
| |
| Error: 2.260<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/penta9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta13">Thirteen chromatic note scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta17">Seventeen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:33:&lt;h1&gt; --><h1 id="toc16"><a name="Guanyintet"></a><!-- ws:end:WikiTextHeadingRule:33 -->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 />
| |
| POTE generator: ~7/6 = 269.619<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]<br />
| |
| EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd<br />
| |
| Error: 2.533 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:35:&lt;h1&gt; --><h1 id="toc17"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:35 -->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 />
| |
| POTE generator: ~3/2 = 701.470<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| |
| Error: 3.457 cents<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:37:&lt;h1&gt; --><h1 id="toc18"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:37 -->Huntington</h1>
| |
| Subgroup: 2.5.7.13<br />
| |
| Commas: 640/637, 10985/10976<br />
| |
| Sval name: 10&amp;27<br />
| |
| <br />
| |
| POTE generator: ~16/13 = 357.002<br />
| |
| <br />
| |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| |
| Error: 2.1001 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:181:&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:181 --><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:39:&lt;h1&gt; --><h1 id="toc19"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:39 -->Shoe</h1>
| |
| Subgroup: 2.5.7.11.13<br />
| |
| Commas: 176/175, 640/637, 847/845<br />
| |
| Sval name: 16&amp;21<br />
| |
| <br />
| |
| POTE generator: ~8/7 = 227.108<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]<br />
| |
| EDOs: 16, 21, 37<br />
| |
| Error: 2.488<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:182:&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:182 --><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:41:&lt;h1&gt; --><h1 id="toc20"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:41 -->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/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| |
| <br />
| |
| POTE generator: ~28/25 = 194.594<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 />
| |
| Error: 2.555 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:183:&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:183 --><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:43:&lt;h1&gt; --><h1 id="toc21"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:43 -->Garibaldi</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 225/224, 3125/3087<br />
| |
| Val name: 12&amp;29<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 702.085<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 94<br />
| |
| Error: 2.834<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:45:&lt;h1&gt; --><h1 id="toc22"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:45 -->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 />
| |
| POTE generator: ~9/8 = 204.090<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><br />
| |
| Error: 2.617 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:184:&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:184 --><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:47:&lt;h1&gt; --><h1 id="toc23"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:47 -->Bossier</h1>
| |
| Subgroup: 2.7.11.13<br />
| |
| Commas: 1573/1569, 15488/15379<br />
| |
| Sval name: 3&amp;17<br />
| |
| <br />
| |
| POTE generator: ~14/11 = 421.309<br />
| |
| <br />
| |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| |
| EDOs: 17, 20, 37, 57, 94, 225<br />
| |
| Error: 2.665 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:185:&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:185 --><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:49:&lt;h1&gt; --><h1 id="toc24"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:49 -->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 />
| |
| POTE generator: ~8/7 = 234.381<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| |
| EDOs: 5, 36, 41, 87, 128<br />
| |
| Error: 2.925 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:186:&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:186 --><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:51:&lt;h1&gt; --><h1 id="toc25"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:51 -->Myna</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 126/125, 1728/1715<br />
| |
| Val name: 4&amp;27<br />
| |
| <br />
| |
| POTE generator: ~6/5 = 310.146<br />
| |
| <br />
| |
| Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br />
| |
| EDOs: 4, 27, 31, 58, 89<br />
| |
| Error: 3.310 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:187:&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:187 --><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:53:&lt;h1&gt; --><h1 id="toc26"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:53 -->Silver</h1>
| |
| Subgroup: 2.5.7.13.17<br />
| |
| Commas: 170/169, 640/637, 5525/5488<br />
| |
| Sval name: 10&amp;27<br />
| |
| <br />
| |
| POTE generator: ~13/8 = 842.711<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, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo">487</a><br />
| |
| Error: 3.437<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:188:&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:188 --><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:55:&lt;h1&gt; --><h1 id="toc27"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:55 -->Mabila</h1>
| |
| Subgroup: 2.5.7<br />
| |
| Comma: 1071875/1048576<br />
| |
| Sval name: 7&amp;9<br />
| |
| <br />
| |
| POTE generator: ~175/128 = 527.236<br />
| |
| <br />
| |
| Map: [&lt;1 1 5|, &lt;0 3 -5|]<br />
| |
| EDOs: 7, 9, 16, 25, 41, 66<br />
| |
| Error: 3.560<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:189:&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:189 --><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:57:&lt;h1&gt; --><h1 id="toc28"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:57 -->Meantone</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 81/80, 126/125<br />
| |
| Val name: 12&amp;19<br />
| |
| <br />
| |
| POTE generator: 696.495<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]<br />
| |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143<br />
| |
| Error: 3.585<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:190:&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:190 --><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:59:&lt;h1&gt; --><h1 id="toc29"><a name="Starlingtet"></a><!-- ws:end:WikiTextHeadingRule:59 -->Starlingtet</h1>
| |
| Group: 2.5/3.7/3<br />
| |
| Comma: 126/125<br />
| |
| Svalname: 4&amp;15<br />
| |
| Related temperaments: starling; becomes myna<br />
| |
| POTE generator: ~6/5 = 311.213<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 />
| |
| Error: 311.213<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:61:&lt;h1&gt; --><h1 id="toc30"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:61 -->Indium</h1>
| |
| Subgroup: 2.5/3.7/3.11/3<br />
| |
| Commas: 3025/3024, 3125/3087<br />
| |
| Sval name: 8&amp;33<br />
| |
| <br />
| |
| POTE generator: ~12/11 = 147.159<br />
| |
| <br />
| |
| Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br />
| |
| EDOs: 33, 41, 49, 57, 106, 204, 253<br />
| |
| Error: 3.968 cents<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 />
| |
| Music<br />
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow">The Cry of Indium</a> (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:63:&lt;h1&gt; --><h1 id="toc31"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:63 -->Magic</h1>
| |
| Group: 2.3.5.7.11<br />
| |
| Commas: 100/99, 225/224, 245/243<br />
| |
| Val name: 19&amp;22<br />
| |
| <br />
| |
| POTE generator: ~5/4 = 380.696<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br />
| |
| EDOs: 19, 22, 41, 104, 145<br />
| |
| Error: 4.489<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:191:&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:191 --><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:65:&lt;h1&gt; --><h1 id="toc32"><a name="Gariberttet"></a><!-- ws:end:WikiTextHeadingRule:65 -->Gariberttet</h1>
| |
| Subgroup: 2.5/3.7/3.13/11<br />
| |
| Commas: 275/273, 847/845<br />
| |
| Svalname: 4&amp;29<br />
| |
| <br />
| |
| POTE generator: ~13/11 = 292.418<br />
| |
| <br />
| |
| Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]<br />
| |
| EDOs: 29, 33, 37, 41, 78<br />
| |
| Error: 4.473<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:67:&lt;h1&gt; --><h1 id="toc33"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:67 -->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><br />
| |
| <br />
| |
| POTE generator: ~11/9 = 351.691<br />
| |
| <br />
| |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| |
| Error: 4.867 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:192:&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:192 --><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:69:&lt;h1&gt; --><h1 id="toc34"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:69 -->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 />
| |
| POTE generator: ~9/7 = 425.244<br />
| |
| <br />
| |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| |
| Error: 4.942 cents<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:71:&lt;h1&gt; --><h1 id="toc35"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:71 -->Sensi</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 126/126, 245/243<br />
| |
| Val name: 19&amp;27<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 443.383<br />
| |
| <br />
| |
| Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br />
| |
| EDOs: 5, 8, 11, 19, 27, 46<br />
| |
| Error: 5.019<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:193:&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:193 --><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:73:&lt;h1&gt; --><h1 id="toc36"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:73 -->Greeley</h1>
| |
| Subgroup: 2.5/3.7/3.11/3<br />
| |
| Commas: 121/120, 126/125<br />
| |
| <br />
| |
| POTE generator: ~11/10 = 156.055<br />
| |
| <br />
| |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| |
| EDOs: 8, 15, 23, 77, 100<br />
| |
| Error: 5.404 cents<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:75:&lt;h2&gt; --><h2 id="toc37"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:75 -->Music</h2>
| |
| <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> 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:77:&lt;h1&gt; --><h1 id="toc38"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:77 -->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 />
| |
| POTE generator: ~13/10 = 453.190<br />
| |
| <br />
| |
| Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br />
| |
| EDOs: 5, 8, 13, 21, 29, 37, 45<br />
| |
| Error: 5.433 cents<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:79:&lt;h1&gt; --><h1 id="toc39"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:79 -->Orwell</h1>
| |
| Group: 2.3.5.7.11<br />
| |
| Commas: 99/98, 121/120, 176/175<br />
| |
| Val name: 9&amp;22<br />
| |
| <br />
| |
| POTE generator: ~7/6 = 271.426<br />
| |
| <br />
| |
| Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br />
| |
| EDOs: 9, 22, 31, 53, 84<br />
| |
| Error: 5.584<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:194:&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:194 --><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:81:&lt;h1&gt; --><h1 id="toc40"><a name="Magicaltet"></a><!-- ws:end:WikiTextHeadingRule:81 -->Magicaltet</h1>
| |
| Group: 2.5/3.7.11<br />
| |
| Commas: 100/99, 385/384<br />
| |
| Related temperaments: 4&amp;7&amp;15, magic<br />
| |
| <br />
| |
| POTE generator: ~6/5 = 319.424<br />
| |
| <br />
| |
| Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]<br />
| |
| EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd<br />
| |
| Error: 5.720 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:83:&lt;h1&gt; --><h1 id="toc41"><a name="Sentry"></a><!-- ws:end:WikiTextHeadingRule:83 -->Sentry</h1>
| |
| Group: 2.5/3.9/7<br />
| |
| Commas: 245/243<br />
| |
| Svalname: 3&amp;5<br />
| |
| Related temperaments: sensi<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 438.574<br />
| |
| <br />
| |
| Map: [&lt;1 0 0|, &lt;0 2 1|]<br />
| |
| EDOs: 8, 11, 30, 41, 52, 145b, 197bc<br />
| |
| Error: 5.793 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:85:&lt;h1&gt; --><h1 id="toc42"><a name="Mothwelltri"></a><!-- ws:end:WikiTextHeadingRule:85 -->Mothwelltri</h1>
| |
| Group: 2.7/3.11<br />
| |
| Comma: 99/98<br />
| |
| Svalname: 1&amp;4<br />
| |
| Related temperament: Orwell<br />
| |
| <br />
| |
| POTE generator:~7/6 = 268.508<br />
| |
| <br />
| |
| Map: [&lt;1 0 1|, &lt;0 1 2|]<br />
| |
| EDOs: 9, 40, 49c, 58c, 67c, 76c<br />
| |
| Error: 6.119 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:87:&lt;h1&gt; --><h1 id="toc43"><a name="Lovecraft"></a><!-- ws:end:WikiTextHeadingRule:87 -->Lovecraft</h1>
| |
| Group: 2.11.13<br />
| |
| <br />
| |
| POTE generator: ~13/11 = 279.318<br />
| |
| <br />
| |
| Map: [&lt;1 1 0|, &lt;0 2 3|]<br />
| |
| EDOS: 13, 30, 43, 73, 116b<br />
| |
| Error: 6.026 cents<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:89:&lt;h1&gt; --><h1 id="toc44"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:89 -->Bleu</h1>
| |
| Group: 2.3.7.11.13<br />
| |
| Commas: 78/77, 99/98, 144/143<br />
| |
| Sval name: 9&amp;17<br />
| |
| <br />
| |
| POTE generator: ~13/12 = 139.990<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 />
| |
| Error: 6.361 cents<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 />
| |
| <!-- ws:start:WikiTextHeadingRule:91:&lt;h1&gt; --><h1 id="toc45"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:91 -->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 />
| |
| POTE generator: ~11/9 = 348.094<br />
| |
| <br />
| |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| |
| EDOs: 24, 31, 69d, 100d, 131bd<br />
| |
| Error: 6.733 cents<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:93:&lt;h2&gt; --><h2 id="toc46"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:93 -->Mohoho</h2>
| |
| Subgroup: 2.3.5.11.13<br />
| |
| Commas: 66/65, 81/80, 121/120<br />
| |
| <br />
| |
| POTE generator: ~11/9 = 348.916<br />
| |
| <br />
| |
| Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
| |
| EDOs: 17c, 24, 31, 55, 86de, 141cde<br />
| |
| Error: 9.556 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:95:&lt;h1&gt; --><h1 id="toc47"><a name="Stacks"></a><!-- ws:end:WikiTextHeadingRule:95 -->Stacks</h1>
| |
| Subgroup: 2.9.15.7.11.13<br />
| |
| Commas: 100/99, 105/104, 144/143, 196/195<br />
| |
| Svalname: 11&amp;30<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 438.977<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br />
| |
| EDOs: 11, 30, 41<br />
| |
| Error: 6.947 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:97:&lt;h1&gt; --><h1 id="toc48"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:97 -->Tutone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 81/80, 99/98, 126/125<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meantone</a><br />
| |
| <br />
| |
| POTE generator: ~9/8 = 193.937<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| |
| EDOs: 25, 31, 68b, 99b<br />
| |
| Error: 7.047 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:WikiTextHeadingRule:99:&lt;h1&gt; --><h1 id="toc49"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:99 -->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 />
| |
| POTE generator: ~9/8 = 192.500<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 />
| |
| Error: 20.338 cents<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><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:101:&lt;h1&gt; --><h1 id="toc50"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:101 -->Score</h1>
| |
| Subgroup: 2.7.11.13<br />
| |
| Commas: 343/338, 847/832<br />
| |
| <br />
| |
| POTE generator: ~11/8 = 540.099<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| |
| EDOs: 5, 7, 9, 11, 20<br />
| |
| Error: 8.052 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:195:&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:195 --><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:103:&lt;h1&gt; --><h1 id="toc51"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:103 -->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 />
| |
| POTE generator: ~3/2 = 707.192<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
| |
| EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c<br />
| |
| Error: 9.795 cents<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:105:&lt;h2&gt; --><h2 id="toc52"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:105 -->Supraphon</h2>
| |
| Subgroup: 2.3.7.11.13<br />
| |
| Commas: 64/63, 78/77, 99/98<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 706.137<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br />
| |
| EDOs: 5, 7, 12, 17<br />
| |
| Error: 10.534 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:107:&lt;h2&gt; --><h2 id="toc53"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:107 -->Machine</h2>
| |
| Subgroup: 2.9.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| <br />
| |
| POTE generator: ~9/8 = 214.384<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
| |
| EDOs: 5, 6, 11, 17, 28<br />
| |
| Error: 10.100 cents<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:109:&lt;h1&gt; --><h1 id="toc54"><a name="Antikythera"></a><!-- ws:end:WikiTextHeadingRule:109 -->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 />
| |
| POTE generator: ~8/7 = 214.095<br />
| |
| <br />
| |
| Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]<br />
| |
| EDOS: 4, 6, 10, 16, 22, 28<br />
| |
| Error: 11.508 cents<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:111:&lt;h1&gt; --><h1 id="toc55"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:111 -->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 />
| |
| POTE generator: ~9/8 = 191.059<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br />
| |
| EDOs: 6, 7, 13, 19, 25, 44, 69<br />
| |
| Error: 12.145 cents<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:113:&lt;h1&gt; --><h1 id="toc56"><a name="Semiphore"></a><!-- ws:end:WikiTextHeadingRule:113 -->Semiphore</h1>
| |
| Subgroup: 2.3.7<br />
| |
| Comma: 49/48<br />
| |
| <br />
| |
| POTE generator: ~7/6 = 250.385<br />
| |
| <br />
| |
| Map: [&lt;1 0 2|, &lt;0 2 1|]<br />
| |
| EDOs: 5, 9, 14, 19, 24<br />
| |
| Error: 12.428<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:115:&lt;h1&gt; --><h1 id="toc57"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:115 -->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 />
| |
| POTE generator: ~8/7 = 228.275<br />
| |
| <br />
| |
| Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br />
| |
| EDOs: 3, 6, 9, 15, 21<br />
| |
| Error: 12.830 cents<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></body></html></pre></div>
| |