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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:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2011-11-01 17:26:04 UTC</tt>.<br>
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| : The original revision id was <tt>270813640</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]]
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|
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|
| [[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 |
|
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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.
| | ; 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 }} |
|
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|
| =Orgone=
| | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
| Subgroup: 2.7.11
| |
| Commas: 65536/65219
| |
| Svals: 4&7
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|
| POTE generator: ~77/64 = 323.372
| | Scales: |
| | * [[Petrtri5]] – 5-tone haplotonic scale |
| | * [[Petrtri8]] – 8-tone albitonic scale |
| | * [[Petrtri13]] – 13-tone chromatic scale |
|
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|
| Map: [<1 2 4|, <0 3, -2|]
| | == Barton == |
| EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308
| | {{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}} |
| Error: 0.7313
| | {{See also| The Jacobins #Barton }} |
|
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|
| [[xenharmonic/orgone7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/orgone11|Eleven note chromatic scale]] | | * [[Barton5]] – 5-tone haplotonic scale |
| [[xenharmonic/orgone15|Fifteen note mega 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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|
| =Bridgetown= | | == Tridec == |
| Subgroup: 2.3.11/5.13/5 | | {{See also| Subgroup temperaments #Tridec }} |
| Commas: 352/351, 676/675
| |
| Sval name: 5&24
| |
| Related temperament: [[xenharmonic/The Archipelago|barabados]]
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| POTE generator: ~15/13 = 248.285
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
|
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|
| Map: [<1 0 -6 -1|, <0 2 9 3|]
| | Scales: |
| EDOs: 5, 9, 14, 19, 24, 29
| | * [[Tridec8]] – 8-tone albitonic scale |
| Error: 0.8996 cents
| | * [[Tridec13]] – 13-tone chromatic scale |
|
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| [[xenharmonic/bridgetown9|Nine note albitonic scale]]
| | == Nestoria == |
| [[xenharmonic/bridgetown14|Fourteen note chromatic scale]]
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
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| ==Music==
| | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
| [[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]] | |
| [[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=
| | Scales: |
| Subgroup: 2.3.5.13
| | * [[Nestoria7]] – 7-tone albitonic scale |
| Commas: 325/324, 625/624
| | * [[Nestoria12]] – 12-tone chromatic scale |
| Sval name: 15&19
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
| Related temperament: [[xenharmonic/Kleismic family|catakleismic]]
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|
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|
| POTE generator: ~6/5 = 317.076
| | == Orgone == |
| | {{Main| Orgone }} |
| | {{See also| Orgonia #Orgone }} |
|
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|
| Map: [<1 0 1 0|, <0 6 5 14|]
| | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333
| |
| Error: 0.9355 cents
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|
| [[image:xenharmonic/cata_246edo2.jpg]] | | Scales: |
| [[xenharmonic/cata7|Seven note albitonic scale]]
| | * [[Orgone7]] – 7-tone albitonic scale |
| [[xenharmonic/cata11|Eleven note mega albitonic scale]] | | * [[Orgone11]] – 11-tone chromatic scale |
| [[xenharmonic/cata15|Fifteen note chromatic scale]] | | * [[Orgone15]] – 15-tone mega-chromatic scale |
| [[xenharmonic/cata19|Nineteen note mega chromatic scale]]
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| =Tridec= | | == Marveltwintri == |
| Subgroup: 2.7/5.11/5.13/5 | | {{See also| Subgroup temperaments #Marveltwintri }} |
| Commas: 847/845, 1001/1000
| |
| Sval name: 5&8
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|
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|
| POTE generator: ~13/10 = 454.461
| | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
|
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|
| Map: [<1 2 0 1|, <0 -4 3 1|]
| | Scales: |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235
| | * [[Marveltwintri7]] – 7-tone albitonic scale |
| Error: 1.057
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
|
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| [[xenharmonic/Tridec8|Eight note albitonic scale]]
| | == Cata == |
| [[xenharmonic/Tridec13|Thirteen note chromatic scale]]
| | {{Main| Kleismic }} |
| | {{See also| Kleismic family #Cata }} |
|
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|
| =Pepperoni=
| | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
| 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.
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|
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| POTE generator: ~3/2 = 704.052
| | Scales: |
| | * [[Cata7]] – 7-tone albitonic scale |
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
|
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|
| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | == Bridgetown == |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| | {{See also| Subgroup temperaments #Bridgetown }} |
| Error: 1.298 cents
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|
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|
| [[xenharmonic/pepperoni7|Seven note albitonic scale]] | | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| [[xenharmonic/pepperoni12|Twelve note chromatic scale]]
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|
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|
| =Slendric=
| | Scales: |
| Subgroup: 2.3.7
| | * [[Bridgetown9]] – 9-tone albitonic scale |
| Comma: 1029/1024
| | * [[Bridgetown14]] – 14-tone chromatic scale |
| Sval name: 5&21
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|
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|
| POTE generator: ~8/7 = 233.688
| | ; Music |
| | * [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]] |
| | * ''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 |
|
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|
| Map: [<1 1 3|, <0 3 -1|]
| | == Haumea == |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
| | {{See also| Subgroup temperaments #Haumea }} |
| Error: 1.109 cents
| |
|
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|
| [[image:slendric_190edo.jpg]] | | Scales: |
| | * [[Haumea5]] – 5-tone haplotonic scale |
| | * [[Haumea9]] – 9-tone albitonic scale |
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
|
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|
| [[xenharmonic/slendric5|Five note haplotonic scale]]
| | == Neutral == |
| [[xenharmonic/slendric6|Six note haplotonic scale]]
| | {{See also| Rastmic clan #Neutral }} |
| [[xenharmonic/slendric11|Eleven note albitonic scale]]
| |
| [[xenharmonic/slendric16|Sixteen note chromatic scale]]
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|
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| ==Music==
| | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| [[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]] | |
| [[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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| =Nestoria=
| | Scales: |
| Subgroup: 2.3.5.19
| | * [[Neutral7]] – 7-tone albitonic scale |
| Commas: 361/360, 513/512
| | * [[Neutral10]] – 10-tone chromatic scale |
| Sval name: 12&29
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
| |
|
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|
| POTE generator: ~3/2 = 701.746
| | ; Music |
| | * [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning |
|
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| Map: [<1 0 15 9|, <0 1 -8 -3|]
| | == Slendric == |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | {{Main| Slendric }} |
| Error: 1.819 cents
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
|
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|
| [[xenharmonic/nestoria7|Seven note albitonic scale]] | | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| [[xenharmonic/nestoria12|Twelve note chromatic scale]]
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| =Photia=
| | Scales: |
| Subgroup: 2.3.5.17.19
| | * [[Slendric5]] – 5-tone haplotonic scale |
| Commas: 171/170, 256/255, 324/323
| | * [[Slendric6]] – 6-tone haplotonic scale |
| Sval name: 12&41
| | * [[Slendric11]] – 11-tone albitonic scale |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
| | * [[Slendric16]] – 16-tone chromatic scale |
|
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| POTE generator: ~3/2 = 701.470
| | == Huntington == |
| | {{See also| No-threes subgroup temperaments #Huntington }} |
|
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|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| |
| Error: 3.457 cents
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| [[xenharmonic/photia7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/photia12|Twelve note chromatic scale]] | | * [[Huntington7]] – 7-tone haplotonic scale |
| | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
|
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| =Huntington= | | == Tobago == |
| Subgroup: 2.5.7.13 | | {{See also| Subgroup temperaments #Tobago }} |
| Commas: 640/637, 10985/10976
| |
| Sval name: 10&27
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|
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|
| POTE generator: ~16/13 = 357.002
| | Scales: |
| | * [[Tobago6]] – 6-tone haplotonic scale |
| | * [[Tobago10]] – 10-tone albitonic scale |
| | * [[Tobago14]] – 14-tone chromatic scale |
| | * [[Tobago24]] – 24-tone quatertone scale |
|
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|
| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | == Pepperoni == |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| | {{See also| Parapyth }} |
| Error: 2.1001 cents
| | {{See also| Subgroup temperaments #Pepperoni }} |
|
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|
| [[xenharmonic/huntington7|Seven note haplotonic scale]] | | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| [[xenharmonic/huntington10|Ten note albitonic scale]]
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| [[xenharmonic/huntington17|Seventeen note chromatic scale]]
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|
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| =Shoe=
| | Scales: |
| Subgroup: 2.5.7.11.13
| | * [[Pepperoni7]] – 7-tone albitonic scale |
| Commas: 176/175, 640/637, 847/845
| | * [[Pepperoni12]] – 12-tone chromatic scale |
| Sval name: 16&21
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|
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|
| POTE generator: ~8/7 = 227.108
| | == Wizz == |
| | {{See also| No-threes subgroup temperaments #Wizz }} |
|
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|
| Map: [<1 1 3 1 2|, <0 7 -1 13 9|]
| | Scales: |
| EDOs: 16, 21, 37
| | * [[Wizz6]] – 6-tone haplotonic scale |
| Error: 2.488
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
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| [[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
| | == Bossier == |
| [[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| [[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]
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|
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|
| =Roulette=
| | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| Subgroup: 2.5.7.11.13
| |
| Commas: 176/175, 1375/1372, 640/637
| |
| Sval name: 6&25
| |
| Related temperament: [[xenharmonic/Wuerschmidt family|Hemiwuerschmidt]]
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|
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|
| POTE generator: ~28/25 = 194.594
| | Scales: |
| | * [[Bossier8]] – 8-tone albitonic scale |
| | * [[Bossier11]] – 11-tone chromatic scale |
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
| | == Penta a.k.a. mechanism == |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
| Error: 2.555 cents
| |
|
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|
| [[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] | | Scales: |
| [[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]] | | * [[Penta5]] – 5-tone haplotonic scale |
| [[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]] | | * [[Penta8]] – 8-tone albitonic scale |
| [[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]] | | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
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|
| =Garibaldi= | | == Bluebirds == |
| Group: 2.3.5.7
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| Commas: 225/224, 3125/3087
| |
| Val name: 12&29
| |
|
| |
|
| POTE generator: ~3/2 = 702.085
| | Scales: |
| | * [[Bluebirds6]] – 6-tone haplotonic scale |
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 0 15 25|, <0 1 -8 -14|]
| | == Marveltri == |
| EDOs: 7, 12, 17, 29, 41, 53, 94
| | {{See also| Subgroup temperaments #Marveltri }} |
| Error: 2.834
| |
|
| |
|
| [[xenharmonic/garibaldi12|Twelve note albitonic scale]] | | Scales: |
| [[xenharmonic/garibaldi17|Seventeen note chromatic scale]] | | * [[Marveltri7]] – 7-tone albitonic scale |
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
| |
|
| =Baldy= | | == Edson == |
| Subgroup: 2.9.5.7.13 | | {{See also| Subgroup temperaments #Edson }} |
| Commas: 225/224, 325/324, 640/637
| |
| Sval name: 6&35
| |
| Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]
| |
|
| |
|
| POTE generator: ~9/8 = 204.090
| | Scales: |
| | * [[Edson5]] – 5-tone haplotonic scale |
| | * [[Edson7]] – 7-tone albitonic scale |
| | * [[Edson12]] – 12-tone chromatic scale |
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|]
| | == Photia == |
| EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]]
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
| Error: 2.617 cents
| |
|
| |
|
| [[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| [[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Bossier=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Photia7]] – 7-tone albitonic scale |
| Commas: 1573/1569, 15488/15379
| | * [[Photia12]] – 12-tone chromatic scale |
| Sval name: 3&17
| |
|
| |
|
| POTE generator: ~14/11 = 421.309
| | == Shoe a.k.a. llywelyn == |
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
|
| |
|
| Map: [<1 0 1 3|, <0 8 7 2|]
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
| EDOs: 17, 20, 37, 57, 94, 225
| |
| Error: 2.665 cents
| |
|
| |
|
| [[xenharmonic/bossier8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/bossier11|Eleven note chromatic scale]] | | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| [[xenharmonic/bossier14|Fourteen note mega chromatic scale]] | | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| =Radon= | | == Roulette == |
| Subgroup: 2.3.7.11
| | {{See also | Hemimean clan #Roulette }} |
| Commas: 896/891, 1029/1024
| |
| Sval name: 5&36
| |
| Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]
| |
|
| |
|
| POTE generator: ~8/7 = 234.381
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
|
| |
|
| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | Scales: |
| EDOs: 5, 36, 41, 87, 128
| | * [[Roulette6]] – 6-tone haplotonic scale |
| Error: 2.925 cents
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[xenharmonic/radon5|Five note haplotonic scale]]
| | == Silver == |
| [[xenharmonic/radon11|Eleven note albitonic scale]]
| | {{See also | No-threes subgroup temperaments #Silver }} |
| [[xenharmonic/radon16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Myna=
| | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| Group: 2.3.5.7
| |
| Commas: 126/125, 1728/1715
| |
| Val name: 4&27
| |
|
| |
|
| POTE generator: ~6/5 = 310.146
| | Scales: |
| | * [[Silver7]] – 7-tone haplotonic scale |
| | * [[Silver10]] – 10-tone albitonic scale |
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 9 9 8|, <0 -10 -9 -7|]
| | == Baldy == |
| EDOs: 4, 27, 31, 58, 89
| | {{See also| Subgroup temperaments #Baldy }} |
| Error: 3.310 cents
| |
|
| |
|
| [[xenharmonic/myna7|Seven note haplotonic scale]] | | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
| [[xenharmonic/myna11|Eleven note albitonic scale]]
| |
| [[xenharmonic/myna15|Fifteen note chromatic scale]]
| |
|
| |
|
| =Silver=
| | Scales |
| Subgroup: 2.5.7.13.17
| | * [[Baldy6]] – 6-tone haplotonic scale |
| Commas: 170/169, 640/637, 5525/5488
| | * [[Baldy11]] – 11-tone albitonic scale |
| Sval name: 10&27
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~13/8 = 842.711
| |
|
| |
|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
| | == Guanyintet == |
| EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|487]]
| | {{See also | Subgroup temperaments #Guanyintet }} |
| Error: 3.437
| |
|
| |
|
| [[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]] | | Scales: |
| [[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]] | | * [[Guanyintet5]] – 5-tone haplotonic scale |
| [[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]] | | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| =Mabila= | | == Radon == |
| Subgroup: 2.5.7
| | {{See also| Gamelismic clan #Radon }} |
| Comma: 1071875/1048576
| |
| Sval name: 7&9
| |
|
| |
|
| POTE generator: ~175/128 = 527.236
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
|
| |
|
| Map: [<1 1 5|, <0 3 -5|]
| | * [[Radon5]] – 5-tone haplotonic scale |
| EDOs: 7, 9, 16, 25, 41, 66
| | * [[Radon11]] – 11-tone albitonic scale |
| Error: 3.560
| | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| [[xenharmonic/mabila7|Seven note haplotonic scale]]
| | == Gariberttet == |
| [[xenharmonic/mabila9|Nine note albitonic scale]]
| | {{See also | Subgroup temperaments #Gariberttet }} |
| [[xenharmonic/mabila16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Meantone=
| | Scales: |
| Group: 2.3.5.7
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Commas: 81/80, 126/125
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| Val name: 12&19
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: 696.495
| | == Namo == |
| | {{See also| Rastmic clan #Namo }} |
|
| |
|
| Map: [<1 0 -4 -13|, <0 1 4 10|]
| | Scales: |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143
| | * [[Namo7]] – 7-tone haplotonic scale |
| Error: 3.585
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| [[xenharmonic/meantone5|Five note haplotonic scale]]
| | == Sentry == |
| [[xenharmonic/meantone7|Seven note albitonic scale]]
| | {{See also | Subgroup temperaments #Sentry }} |
| [[xenharmonic/meantone12|Twelve note chromatic scale]]
| |
|
| |
|
| =Indium=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3
| | * [[Sentry5]] – 5-tone haplotonic scale |
| Commas: 3025/3024, 3125/3087
| | * [[Sentry8]] – 8-tone albitonic scale |
| Sval name: 8&33
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~12/11 = 147.159
| | == Hemif == |
| | {{See also| No-fives subgroup temperaments #Hemif }} |
|
| |
|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| |
| Error: 3.968 cents
| |
|
| |
|
| [[xenharmonic/indium8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/indium17|Seventeen note chromatic scale]] | | * [[Hemif7]] – 7-tone haplotonic scale |
| | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| =Magic= | | == Garibaldi == |
| Group: 2.3.5.7.11
| | {{Main| Garibaldi temperament }} |
| Commas: 100/99, 225/224, 245/243
| | {{See also| Schismatic family #Garibaldi }} |
| Val name: 19&22
| |
|
| |
|
| POTE generator: ~5/4 = 380.696
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
|
| |
|
| Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
| | Scales: |
| EDOs: 19, 22, 41, 104, 145
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| Error: 4.489
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| [[xenharmonic/magic7|Seven note haplotonic scale]]
| | == Mabilic == |
| [[xenharmonic/magic10|Ten note albitonic scale]]
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| [[xenharmonic/magic13|Thirteen note chromatic scale]]
| |
| [[xenharmonic/magic16|Sixteen note mega chromatic scale]]
| |
|
| |
|
| =Hemif=
| | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| Subgroup: 2.3.7.11.13
| |
| Commas: 144/143, 243/242, 364/363
| |
| Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]
| |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | Scales: |
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| | * [[Mabilic9]] – 9-tone albitonic scale |
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | == Indium == |
| EDOs: 7, 10, 17, 24, 41, 58
| | {{See also | Subgroup temperaments #Indium }} |
| Error: 4.867 cents
| |
|
| |
|
| [[xenharmonic/hemif7|Seven note haplotonic scale]] | | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| [[xenharmonic/hemif10|Ten note albitonic scale]]
| |
| [[xenharmonic/hemif17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Skwares=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Indium8]] – 8-tone albitonic scale |
| Commas: 99/98, 243/242
| | * [[Indium17]] – 17-tone chromatic scale |
| Related temperament: [[xenharmonic/Meantone family|squares]]
| |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | ; 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] |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | == Starlingtet == |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | {{See also | Subgroup temperaments #Starlingtet }} |
| Error: 4.942 cents
| |
|
| |
|
| [[xenharmonic/skwares8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/skwares11|Eleven note mega albitonic scale]] | | * [[Starlingtet4]] – 4-tone haplotonic scale |
| [[xenharmonic/skwares14|Fourteen note chromatic scale]] | | * [[Starlingtet7]] – 7-tone albitonic scale |
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| =Sensi= | | == Lovecraft == |
| Group: 2.3.5.7
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
| Commas: 126/126, 245/243
| |
| Val name: 19&27
| |
|
| |
|
| POTE generator: ~9/7 = 443.383
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
|
| |
|
| Map: [<1 6 8 11|, <0 -7 -9 -13|]
| | Scales: |
| EDOs: 5, 8, 11, 19, 27, 46
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| Error: 5.019
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/sensi5|Five note haplotonic scale]]
| | == Blackbirds == |
| [[xenharmonic/sensi8|Eight note albitonic scale]]
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| [[xenharmonic/sensi11|Eleven note mega albitonic scale]]
| |
| [[xenharmonic/sensi19|Nineteen note chromatic scale]]
| |
|
| |
|
| =Greeley=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| Commas: 121/120, 126/125
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | == Laz == |
| | {{See also | Subgroup temperaments #Laz }} |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | Scales: |
| EDOs: 8, 15, 23, 77, 100
| | * [[Laz5]] – 5-tone haplotonic scale |
| Error: 5.404 cents
| | * [[Laz9]] – 9-tone albitonic scale |
| | * [[Laz13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/greeley8|Eight note albitonic scale]]
| | == Myna == |
| [[xenharmonic/greeley15|Fifteen note chromatic scale]]
| | {{Main| Myna }} |
| | {{See also| Starling temperaments #Myna }} |
|
| |
|
| ==Music==
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| [[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 | |
|
| |
|
| =Semidim=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3.13/3
| | * [[Myna7]] – 7-tone haplotonic scale |
| Commas: 121/120, 169/168, 275/273
| | * [[Myna11]] – 11-tone albitonic scale |
| Sval name: 8&29
| | * [[Myna15]] – 15-tone chromatic scale |
|
| |
|
| POTE generator: ~13/10 = 453.190
| | == Greeley == |
| | {{See also| Subgroup temperaments #Greeley }} |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| |
| Error: 5.433 cents
| |
|
| |
|
| [[xenharmonic/semidim8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/semidim13|Thirteen note chromatic scale]] | | * [[Greeley8]] – 8-tone albitonic scale |
| | * [[Greeley15]] – 15-tone chromatic scale |
|
| |
|
| =Orwell=
| | ; Music |
| Group: 2.3.5.7.11
| | * ''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] |
| Commas: 99/98, 121/120, 176/175
| |
| Val name: 9&22
| |
|
| |
|
| POTE generator: ~7/6 = 271.426
| | == Ammon == |
| | {{See also| Subgroup temperaments #Ammon }} |
|
| |
|
| Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| EDOs: 9, 22, 31, 53, 84
| |
| Error: 5.584
| |
|
| |
|
| [[xenharmonic/orwell5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/orwell9|Nine note albitonic scale]] | | * [[Ammon8]] – 8-tone albitonic scale |
| [[xenharmonic/orwell13|Thirteen note chromatic scale]]
| | * [[Ammon13]] – 13-tone chromatic scale |
|
| |
|
| =Bleu= | | == Mothwelltri == |
| Group: 2.3.7.11.13
| | {{See also| Subgroup temperaments #Mothwelltri }} |
| Commas: 78/77, 99/98, 144/143
| |
| Sval name: 9&17
| |
|
| |
|
| POTE generator: ~13/12 = 139.990
| | Scales: |
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 1 2 3 3|, <0 5 7 4 6|]
| | == Sulis == |
| EDOs: [[xenharmonic/9edo|9]], [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60]]
| | {{See also| Subgroup temperaments #Sulis }} |
| Error: 6.361
| |
|
| |
|
| [[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]] | | Scales: |
| [[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]] | | * [[Sulis7]] – 7-tone haplotonic scale |
| [[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]] | | * [[Sulis10]] – 10-tone albitonic scale |
| | * [[Sulis13]] – 13-tone chromatic scale |
|
| |
|
| =Mohaha= | | == Skwares == |
| Subgroup: 2.3.5.11
| | {{Main| Squares }} |
| Commas: 81/80, 121/120
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| Related temperament: [[xenharmonic/Meantone family|mohajira]]
| |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 31, 131
| | * [[Skwares8]] – 8-tone albitonic scale |
| Error: 6.733 cents
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| | * [[Skwares14]] – 14-tone chromatic scale |
|
| |
|
| [[xenharmonic/mohaha7|Seven note albitonic scale]]
| | == Orwell == |
| [[xenharmonic/mohaha10|Ten note chromatic scale]]
| | {{Main| Orwell }} |
| | {{See also| Semicomma family #Orwell }} |
|
| |
|
| ==Mohoho==
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| Subgroup: 2.3.5.11.13
| |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | Scales: |
| | * [[Orwell5]] – 5-tone haplotonic scale |
| | * [[Orwell9]] – 9-tone albitonic scale |
| | * [[Orwell13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | == Magicaltet == |
| EDOs: 7, 10, 17, 24, 31, 55
| | {{See also| Subgroup temperaments #Magicaltet }} |
| Error: 9.556 cents
| |
|
| |
|
| =Tutone=
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| Commas: 81/80, 99/98, 126/125
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| Related temperament: [[xenharmonic/Meantone family|meantone]]
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | == Magic == |
| | {{Main| Magic }} |
| | {{See also| Magic family #Magic }} |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| |
| Error: 7.047 cents
| |
|
| |
|
| [[xenharmonic/tutone6|Six note haplotonic scale]] | | Scales: |
| [[xenharmonic/tutone7|Seven note albitonic scale]] | | * [[Magic7]] – 7-tone haplotonic scale |
| [[xenharmonic/tutone13|Thirteen note chromatic scale]] | | * [[Magic10]] – 10-tone albitonic scale |
| | * [[Magic13]] – 13-tone chromatic scale |
| | * [[Magic16]] – 16-tone mega-chromatic scale |
|
| |
|
| =Leantone= | | == Kiribati == |
| Subgroup: 2.9.5.7.11 | | {{See also| Subgroup temperaments #Kiribati }} |
| Commas: 45/44, 56/55, 81/80
| |
| Related temperament: [[xenharmonic/Meantone family|flattone]]
| |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | Scales: |
| | * [[Kiribati13]] – 13-tone chromatic scale |
| | * [[Kiribati14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | == Score == |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| | {{See also|No-threes subgroup temperaments #Score }} |
| Error: 20.338 cents
| |
|
| |
|
| [[xenharmonic/leantone6|Six note haplotonic scale]] | | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| [[xenharmonic/leantone7|Seven note albitonic scale]]
| |
| [[xenharmonic/leantone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Score=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Score5]] – 5-tone haplotonic scale |
| Commas: 343/338, 847/832
| | * [[Score7]] – 7-tone albitonic scale |
| | * [[Score9]] – 9-tone mega-albitonic scale |
| | * [[Score11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | == Sensi == |
| | {{Main| Sensi }} |
| | {{See also| Sensipent family #Sensi }} |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| EDOs: 5, 7, 9, 11, 20
| |
| Error: 8.052 cents
| |
|
| |
|
| [[xenharmonic/score5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/score7|Seven note albitonic scale]] | | * [[Sensi5]] – 5-tone haplotonic scale |
| [[xenharmonic/score9|Nine note mega albitonic scale]] | | * [[Sensi8]] – 8-tone albitonic scale |
| [[xenharmonic/score11|Eleven note chromatic scale]] | | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| =Supra= | | === Sensation === |
| Subgroup: 2.3.7.11
| | {{Main| Sensi }} |
| Commas: 64/63, 99/98
| | {{See also| Sensipent family #Sensi }} |
| Related temperament: [[xenharmonic/suprapyth|suprapyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | Scales: |
| | * [[Sensi5]] – 5-tone haplotonic scale |
| | * [[Sensi8]] – 8-tone albitonic scale |
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | == Meantone == |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| | {{Main| Meantone }} |
| Error: 9.795 cents
| | {{See also| Meantone family #Meantone }} |
|
| |
|
| [[xenharmonic/supra7|Seven note albitonic scale]] | | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| [[xenharmonic/supra12|Twelve note chromatic scale]]
| |
|
| |
|
| ==Supraphon==
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Meantone5]] – 5-tone haplotonic scale |
| Commas: 64/63, 78/77, 99/98
| | * [[Meantone7]] – 7-tone albitonic scale |
| | * [[Meantone12]] – 12-tone chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | == Mohaha == |
| | {{See also| Rastmic clan #Mohaha }} |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| EDOs: 5, 7, 12, 17
| |
| Error: 10.534 cents
| |
|
| |
|
| ==Machine==
| | Scales: |
| Subgroup: 2.9.7.11
| | * [[Mohaha7]] – 7-tone albitonic scale |
| Commas: 64/63, 99/98
| | * [[Mohaha10]] – 10-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | Music: |
| | ; [[Billy Stiltner]] |
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | === Mohoho === |
| EDOs: 5, 6, 11, 17, 28
| | {{See also| Rastmic clan #Mohoho }} |
| Error: 10.100 cents
| |
|
| |
|
| [[xenharmonic/machine5|Five note haplotonic scale]]
| | == Joan == |
| [[xenharmonic/machine6|Six note albitonic scale]]
| | {{See also| Subgroup temperaments #Joan }} |
| [[xenharmonic/machine11|Eleven note chromatic scale]]
| |
|
| |
|
| =Antikythera=
| | Scales: |
| Subgroup: 2.9.5.7
| | * [[Joan5]] – 5-tone haplotonic scale |
| Commas: 50/49, 64/63
| | * [[Joan7]] – 7-tone albitonic scale |
| Related temperament: [[xenharmonic/pajara|pajara]]
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| | * [[Joan11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~8/7 = 214.095
| | == Tutone == |
| | {{See also| Hemimean clan #Tutone }} |
|
| |
|
| Map: [<2 0 11 12|, <0 1 -1 -1|]
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| EDOS: 4, 6, 10, 16, 22, 28
| |
| Error: 11.508 cents
| |
|
| |
|
| [[xenharmonic/antikythera6|Six note haplotonic scale]] | | Scales: |
| [[xenharmonic/antikythera10|Ten note albitonic scale]] | | * [[Tutone6]] – 6-tone haplotonic scale |
| [[xenharmonic/antikythera16|Sixteen note chromatic scale]] | | * [[Tutone7]] – 7-tone albitonic scale |
| | * [[Tutone13]] – 13-tone chromatic scale |
|
| |
|
| =Deutone= | | == Stacks == |
| Subgroup: 2.9.5.7.13 | | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| Commas: 65/64, 81/80, 91/90
| |
| Related temperament: [[xenharmonic/Meantone family|meanpop]]
| |
|
| |
|
| POTE generator: ~9/8 = 191.059
| | Scales: |
| | * [[Stacks5]] – 5-tone haplotonic scale |
| | * [[Stacks8]] – 8-tone albitonic scale |
| | * [[Stacks11]] – 11-tone chromatic scale |
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]
| | == Bleu == |
| EDOs: 6, 7, 13, 19, 25, 44, 69
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| Error: 12.145 cents
| |
|
| |
|
| [[xenharmonic/deutone6|Six note haplotonic scale]] | | Scales: |
| [[xenharmonic/deutone7|seven note albitonic scale]] | | * [[Bleu8]] – 8-tone haplotonic scale |
| [[xenharmonic/deutone13|Thirteen note chromatic scale]] | | * [[Bleu9]] – 9-tone albitonic scale |
| | * [[Bleu17]] – 17-tone chromatic scale |
|
| |
|
| =Semiphore= | | == Sephiroth == |
| Subgroup: 2.3.7
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| Comma: 49/48
| |
|
| |
|
| POTE generator: ~7/6 = 250.385
| | 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 2|, <0 2 1|]
| | == Archy == |
| EDOs: 5, 9, 14, 19, 24
| | {{Main| Superpyth }} |
| Error: 12.428
| | {{See also| Archytas clan #Archy }} |
|
| |
|
| [[xenharmonic/semiphore5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/semiphore9|Nine note albitonic scale]] | | * [[Archy5]] – 5-tone haplotonic scale |
| [[xenharmonic/semiphore14|Fourteen note chromatic scale]] | | * [[Archy7]] – 7-tone albitonic scale |
| | * [[Archy12]] – 12-tone chromatic scale |
|
| |
|
| =Augment= | | === Supra === |
| Subgroup: 2.5.7.11
| | {{Main| Superpyth }} |
| Commas: 56/55, 128/125
| | {{See also| Archytas clan #Supra }} |
| Related temperament: [[xenharmonic/Augmented family|augmented]]
| |
|
| |
|
| POTE generator: ~8/7 = 228.275
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | Scales: |
| EDOs: 3, 6, 9, 15, 21
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| Error: 12.830 cents
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
|
| |
|
| [[xenharmonic/augment6|Six note haplotonic scale]]
| | === Supraphon === |
| [[xenharmonic/augment9|Nine note albitonic scale]]
| | {{Main| Superpyth }} |
| [[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div>
| | {{See also| Archytas clan #Supraphon }} |
| <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:91:&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:91 --><!-- ws:start:WikiTextTocRule:92: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --><!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --><!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:106 --><!-- ws:start:WikiTextTocRule:107: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:107 --><!-- ws:start:WikiTextTocRule:108: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:108 --><!-- ws:start:WikiTextTocRule:109: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:109 --><!-- ws:start:WikiTextTocRule:110: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:110 --><!-- ws:start:WikiTextTocRule:111: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:111 --><!-- ws:start:WikiTextTocRule:112: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:112 --><!-- ws:start:WikiTextTocRule:113: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:113 --><!-- ws:start:WikiTextTocRule:114: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:114 --><!-- ws:start:WikiTextTocRule:115: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:115 --><!-- ws:start:WikiTextTocRule:116: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:116 --><!-- ws:start:WikiTextTocRule:117: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:117 --><!-- ws:start:WikiTextTocRule:118: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:118 --><!-- ws:start:WikiTextTocRule:119: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:119 --><!-- ws:start:WikiTextTocRule:120: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:120 --><!-- ws:start:WikiTextTocRule:121: --><!-- ws:end:WikiTextTocRule:121 --><!-- ws:start:WikiTextTocRule:122: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:122 --><!-- ws:start:WikiTextTocRule:123: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:123 --><!-- ws:start:WikiTextTocRule:124: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --><!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:130 --><!-- ws:start:WikiTextTocRule:131: --><!-- ws:end:WikiTextTocRule:131 --><!-- ws:start:WikiTextTocRule:132: --><!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:133 --><!-- ws:start:WikiTextTocRule:134: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:134 --><!-- ws:start:WikiTextTocRule:135: --> | <a href="#Semiphore">Semiphore</a><!-- ws:end:WikiTextTocRule:135 --><!-- ws:start:WikiTextTocRule:136: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:136 --><!-- ws:start:WikiTextTocRule:137: -->
| | == Suhajira == |
| <!-- ws:end:WikiTextTocRule:137 --><!-- 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">
| | {{See also| Archytas clan #Suhajira }} |
| </script><!-- ws:end:WikiTextMediaRule:0 --><br />
| | |
| <hr />
| | Scales: |
| <br />
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Definitions"></a><!-- ws:end:WikiTextHeadingRule:1 -->Definitions</h1>
| | * [[Suhajira10]] – 10-tone albitonic scale |
| 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 />
| | * [[Suhajira17]] – 17-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:3 -->Terrain</h1>
| | == Machine == |
| Subgroup: 2.9/5.9/7<br />
| | {{See also| Subgroup temperaments #Machine}} |
| Commas: 250047/250000<br />
| | |
| Sval name: 6&amp;21<br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain">domain</a><br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/POTE%20generator">POTE generator</a>: ~10/9 = 182.462<br />
| | * [[Machine5]] – 5-tone haplotonic scale |
| <br />
| | * [[Machine6]] – 6-tone albitonic scale |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | * [[Machine11]] – 11-tone chromatic scale |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | |
| Error: 0.0443 cents<br />
| | == Deutone == |
| <br />
| | {{See also| Hemimean clan #Deutone }} |
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br />
| | |
| <br />
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15">Fifteen note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Deutone6]] – 6-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Orgone"></a><!-- ws:end:WikiTextHeadingRule:5 -->Orgone</h1>
| | * [[Deutone7]] – 7-tone albitonic scale |
| Subgroup: 2.7.11<br />
| | * [[Deutone13]] – 13-tone chromatic scale |
| Commas: 65536/65219<br />
| | |
| Svals: 4&amp;7<br />
| | == Negra == |
| <br />
| | {{Main| Negri }} |
| POTE generator: ~77/64 = 323.372<br />
| | {{See also| Marvel temperaments #Negri }} |
| <br />
| | |
| Map: [&lt;1 2 4|, &lt;0 3, -2|]<br />
| | == Porkypine == |
| EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308<br />
| | {{Main| Porcupine }} |
| Error: 0.7313<br />
| | {{See also| Porcupine family #Porcupine }} |
| <br />
| | |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone11">Eleven note chromatic scale</a><br />
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone15">Fifteen note mega chromatic scale</a><br />
| | * [[Porkypine8]] – 8-tone albitonic scale |
| <br />
| | * [[Porkypine15]] – 15-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:7 -->Bridgetown</h1>
| | |
| Subgroup: 2.3.11/5.13/5<br />
| | == Skateboard == |
| Commas: 352/351, 676/675<br />
| | {{See also| Subgroup temperaments #Skateboard }} |
| Sval name: 5&amp;24<br />
| | |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago">barabados</a><br />
| | Scales: |
| <br />
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| POTE generator: ~15/13 = 248.285<br />
| | * [[Skateboard11]] – 11-tone albitonic scale |
| <br />
| | * [[Skateboard15]] – 15-tone chromatic scale |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | == Augment == |
| Error: 0.8996 cents<br />
| | {{See also| No-threes subgroup temperaments #Augment }} |
| <br />
| | |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br />
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14">Fourteen note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="Bridgetown-Music"></a><!-- ws:end:WikiTextHeadingRule:9 -->Music</h2>
| | * [[Augment6]] – 6-tone haplotonic scale |
| <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 />
| | * [[Augment9]] – 9-tone albitonic scale |
| <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 />
| | * [[Augment12]] – 12-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:11 -->Cata</h1>
| | == Semaphore == |
| Subgroup: 2.3.5.13<br />
| | {{Main| Semaphore and godzilla }} |
| Commas: 325/324, 625/624<br />
| | {{See also| Semaphoresmic clan #Semaphore }} |
| Sval name: 15&amp;19<br />
| | |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family">catakleismic</a><br />
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| <br />
| | |
| POTE generator: ~6/5 = 317.076<br />
| | Scales: |
| <br />
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | * [[Semaphore9]] – 9-tone albitonic scale |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333<br />
| | * [[Semaphore14]] – 14-tone chromatic scale |
| Error: 0.9355 cents<br />
| | |
| <br />
| | == Kryptonite == |
| <!-- ws:start:WikiTextLocalImageRule:139:&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:139 --><br />
| | {{See also| Subgroup temperaments #Kryptonite }} |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata15">Fifteen note chromatic scale</a><br />
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata19">Nineteen note mega chromatic scale</a><br />
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| <br />
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:13 -->Tridec</h1>
| | |
| Subgroup: 2.7/5.11/5.13/5<br />
| | == Oregon == |
| Commas: 847/845, 1001/1000<br />
| | {{See also| Orgonia #Oregon }} |
| Sval name: 5&amp;8<br />
| | |
| <br />
| | Scales: |
| POTE generator: ~13/10 = 454.461<br />
| | * [[Oregon7]] – 7-tone haplotonic scale |
| <br />
| | * [[Oregon11]] – 11-tone albitonic scale |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
| | * [[Oregon15]] – 15-tone chromatic scale |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235<br />
| | |
| Error: 1.057<br />
| | == Antikythera == |
| <br />
| | {{See also| Jubilismic clan #Antikythera }} |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec13">Thirteen note chromatic scale</a><br />
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:15:&lt;h1&gt; --><h1 id="toc7"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:15 -->Pepperoni</h1>
| | Scales: |
| Subgroup: 2.3.11/7.13/7<br />
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| Commas: 352/351, 364/363<br />
| | * [[Antikythera10]] – 10-tone albitonic scale |
| Sval name: 5&amp;12<br />
| | * [[Antikythera16]] – 16-tone chromatic scale |
| 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 />
| | == Glacial == |
| POTE generator: ~3/2 = 704.052<br />
| | {{See also| Subgroup temperaments #Glacial }} |
| <br />
| | |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | Scales: |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | * [[Glacial6]] – 6-tone haplotonic scale |
| Error: 1.298 cents<br />
| | * [[Glacial7]] – 7-tone albitonic scale |
| <br />
| | * [[Glacial13]] – 13-tone chromatic scale |
| <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 />
| | == Leantone == |
| <br />
| | {{See also| Hemimean clan #Leantone }} |
| <!-- ws:start:WikiTextHeadingRule:17:&lt;h1&gt; --><h1 id="toc8"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:17 -->Slendric</h1>
| | |
| Subgroup: 2.3.7<br />
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| Comma: 1029/1024<br />
| | |
| Sval name: 5&amp;21<br />
| | Scales: |
| <br />
| | * [[Leantone6]] – 6-tone haplotonic scale |
| POTE generator: ~8/7 = 233.688<br />
| | * [[Leantone7]] – 7-tone albitonic scale |
| <br />
| | * [[Leantone13]] – 13-tone chromatic scale |
| Map: [&lt;1 1 3|, &lt;0 3 -1|]<br />
| | |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190<br />
| | == Notes == |
| Error: 1.109 cents<br />
| | |
| <br />
| | [[Category:Lists of scales]] |
| <!-- ws:start:WikiTextLocalImageRule:140:&lt;img src=&quot;/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:140 --><br />
| | [[Category:Tempered scales| ]] |
| <br />
| | [[Category:Listen]] |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5">Five note haplotonic scale</a><br />
| | [[Category:Rank 2]] |
| <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 />
| | {{todo|cleanup}} |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:19:&lt;h2&gt; --><h2 id="toc9"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:19 -->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 />
| |
| <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:21:&lt;h1&gt; --><h1 id="toc10"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:21 -->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:23:&lt;h1&gt; --><h1 id="toc11"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:23 -->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:25:&lt;h1&gt; --><h1 id="toc12"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:25 -->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 />
| |
| <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:27:&lt;h1&gt; --><h1 id="toc13"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:27 -->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 />
| |
| <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:29:&lt;h1&gt; --><h1 id="toc14"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:29 -->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 />
| |
| <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:31:&lt;h1&gt; --><h1 id="toc15"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:31 -->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:33:&lt;h1&gt; --><h1 id="toc16"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:33 -->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 />
| |
| <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:35:&lt;h1&gt; --><h1 id="toc17"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:35 -->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 />
| |
| <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:37:&lt;h1&gt; --><h1 id="toc18"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:37 -->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 />
| |
| <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:39:&lt;h1&gt; --><h1 id="toc19"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:39 -->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 />
| |
| <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:41:&lt;h1&gt; --><h1 id="toc20"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:41 -->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 />
| |
| <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:43:&lt;h1&gt; --><h1 id="toc21"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:43 -->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 />
| |
| <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:45:&lt;h1&gt; --><h1 id="toc22"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:45 -->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 />
| |
| <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:47:&lt;h1&gt; --><h1 id="toc23"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:47 -->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 />
| |
| <!-- ws:start:WikiTextHeadingRule:49:&lt;h1&gt; --><h1 id="toc24"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:49 -->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 />
| |
| <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:51:&lt;h1&gt; --><h1 id="toc25"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:51 -->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 />
| |
| <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:53:&lt;h1&gt; --><h1 id="toc26"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:53 -->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:55:&lt;h1&gt; --><h1 id="toc27"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:55 -->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 />
| |
| <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:57:&lt;h1&gt; --><h1 id="toc28"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:57 -->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:59:&lt;h2&gt; --><h2 id="toc29"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:59 -->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:61:&lt;h1&gt; --><h1 id="toc30"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:61 -->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:63:&lt;h1&gt; --><h1 id="toc31"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:63 -->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 />
| |
| <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:65:&lt;h1&gt; --><h1 id="toc32"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:65 -->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/9edo">9</a>, <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">60</a><br />
| |
| Error: 6.361<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:67:&lt;h1&gt; --><h1 id="toc33"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:67 -->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: 7, 10, 17, 24, 31, 131<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:69:&lt;h2&gt; --><h2 id="toc34"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:69 -->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: 7, 10, 17, 24, 31, 55<br />
| |
| Error: 9.556 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:71:&lt;h1&gt; --><h1 id="toc35"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:71 -->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: 6, 7, 13, 19, 25, 31, 99<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:73:&lt;h1&gt; --><h1 id="toc36"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:73 -->Leantone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 45/44, 56/55, 81/80<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">flattone</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:75:&lt;h1&gt; --><h1 id="toc37"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:75 -->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 />
| |
| <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:77:&lt;h1&gt; --><h1 id="toc38"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:77 -->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, 39, 56<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:79:&lt;h2&gt; --><h2 id="toc39"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:79 -->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:81:&lt;h2&gt; --><h2 id="toc40"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:81 -->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:83:&lt;h1&gt; --><h1 id="toc41"><a name="Antikythera"></a><!-- ws:end:WikiTextHeadingRule:83 -->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:85:&lt;h1&gt; --><h1 id="toc42"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:85 -->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:87:&lt;h1&gt; --><h1 id="toc43"><a name="Semiphore"></a><!-- ws:end:WikiTextHeadingRule:87 -->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 />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:89:&lt;h1&gt; --><h1 id="toc44"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:89 -->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>
| |