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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:hstraub|hstraub]] and made on <tt>2011-08-09 07:35:11 UTC</tt>.<br>
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| : The original revision id was <tt>245007527</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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| ----
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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 [[MOSScales|MOS]] in some rank two temperament (which may often be a [[Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with [[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: [[Minortonic family#Domain|domain]]
| |
|
| |
|
| [[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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| [[terrain9|Nine note albitonic scale]]
| | == Petrtri == |
| [[terrain15|Fifteen note chromatic scale]]
| | {{See also| Subgroup temperaments #Petrtri }} |
|
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|
| =Bridgetown=
| | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
| Subgroup: 2.3.11/5.13/5
| |
| Commas: 352/351, 676/675
| |
| Sval name: 5&24
| |
| Related temperament: [[The Archipelago|barabados]]
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|
| |
|
| POTE generator: ~15/13 = 248.285
| | Scales: |
| | * [[Petrtri5]] – 5-tone haplotonic scale |
| | * [[Petrtri8]] – 8-tone albitonic scale |
| | * [[Petrtri13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 0 -6 -1|, <0 2 9 3|]
| | == Barton == |
| EDOs: 5, 9, 14, 19, 24, 29
| | {{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}} |
| Error: 0.8996 cents
| | {{See also| The Jacobins #Barton }} |
|
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|
| [[bridgetown9|Nine note albitonic scale]] | | Scales: |
| [[bridgetown14|Fourteen note chromatic scale]] | | * [[Barton5]] – 5-tone haplotonic 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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|
| =Cata= | | == Tridec == |
| Subgroup: 2.3.5.13 | | {{See also| Subgroup temperaments #Tridec }} |
| Commas: 325/324, 625/624
| |
| Sval name: 15&19
| |
| Related temperament: [[Kleismic family|catakleismic]]
| |
|
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|
| POTE generator: ~6/5 = 317.076
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
|
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|
| Map: [<1 0 1 0|, <0 6 5 14|]
| | Scales: |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333
| | * [[Tridec8]] – 8-tone albitonic scale |
| Error: 0.9355 cents
| | * [[Tridec13]] – 13-tone chromatic scale |
|
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|
| [[cata7|Seven note albitonic scale]]
| | == Nestoria == |
| [[cata11|Eleven note mega albitonic scale]]
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
| [[cata15|Fifteen note chromatic scale]]
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| [[cata19|Nineteen note mega chromatic scale]]
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|
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|
| =Tridec=
| | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
| Subgroup: 2.7/5.11/5.13/5
| |
| Commas: 847/845, 1001/1000
| |
| Sval name: 5&8
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|
| |
|
| POTE generator: ~13/10 = 454.461
| | Scales: |
| | * [[Nestoria7]] – 7-tone albitonic scale |
| | * [[Nestoria12]] – 12-tone chromatic scale |
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
|
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|
| Map: [<1 2 0 1|, <0 -4 3 1|]
| | == Orgone == |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235
| | {{Main| Orgone }} |
| Error: 1.057
| | {{See also| Orgonia #Orgone }} |
|
| |
|
| [[Tridec8|Eight note albitonic scale]] | | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
| [[Tridec13|Thirteen note chromatic scale]]
| |
|
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|
| =Pepperoni=
| | Scales: |
| Subgroup: 2.3.11/7.13/7
| | * [[Orgone7]] – 7-tone albitonic scale |
| Commas: 352/351, 364/363
| | * [[Orgone11]] – 11-tone chromatic scale |
| Sval name: 5&12
| | * [[Orgone15]] – 15-tone mega-chromatic scale |
| Related temperament: The [[Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.
| |
|
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|
| POTE generator: ~3/2 = 704.052
| | == Marveltwintri == |
| | {{See also| Subgroup temperaments #Marveltwintri }} |
|
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|
| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| |
| Error: 1.298 cents
| |
|
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|
| [[pepperoni7|Seven note albitonic scale]] | | Scales: |
| [[pepperoni12|Twelve note chromatic scale]] | | * [[Marveltwintri7]] – 7-tone albitonic scale |
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
|
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|
| =Nestoria= | | == Cata == |
| Subgroup: 2.3.5.19
| | {{Main| Kleismic }} |
| Commas: 361/360, 513/512
| | {{See also| Kleismic family #Cata }} |
| Sval name: 12&29
| |
| Related temperament: [[Schismatic family|schismatic]]
| |
|
| |
|
| POTE generator: ~3/2 = 701.746
| | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
|
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|
| Map: [<1 0 15 9|, <0 1 -8 -3|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | * [[Cata7]] – 7-tone albitonic scale |
| Error: 1.819 cents
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
|
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|
| [[nestoria7|Seven note albitonic scale]]
| | == Bridgetown == |
| [[nestoria12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Bridgetown }} |
|
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|
| =Photia=
| | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| Subgroup: 2.3.5.17.19
| |
| Commas: 171/170, 256/255, 324/323
| |
| Sval name: 12&41
| |
| Related temperament: [[Schismatic family|schismatic]]
| |
|
| |
|
| POTE generator: ~3/2 = 701.470
| | Scales: |
| | * [[Bridgetown9]] – 9-tone albitonic scale |
| | * [[Bridgetown14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | ; Music |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| | * [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]] |
| Error: 3.457 cents
| | * ''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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|
| [[photia7|Seven note albitonic scale]]
| | == Haumea == |
| [[photia12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Haumea }} |
|
| |
|
| =Huntington=
| | Scales: |
| Subgroup: 2.5.7.13
| | * [[Haumea5]] – 5-tone haplotonic scale |
| Commas: 640/637, 10985/10976
| | * [[Haumea9]] – 9-tone albitonic scale |
| Sval name: 10&27
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~16/13 = 357.002
| | == Neutral == |
| | {{See also| Rastmic clan #Neutral }} |
|
| |
|
| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| |
| Error: 2.1001 cents
| |
|
| |
|
| [[huntington7|Seven note haplotonic scale]] | | Scales: |
| [[huntington10|Ten note albitonic scale]] | | * [[Neutral7]] – 7-tone albitonic scale |
| [[huntington17|Seventeen note chromatic scale]] | | * [[Neutral10]] – 10-tone chromatic scale |
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
|
| |
|
| =Roulette=
| | ; Music |
| Subgroup: 2.5.7.11.13
| | * [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 |
| Commas: 176/175, 1375/1372, 640/637
| |
| Sval name: 6&25
| |
| Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]
| |
|
| |
|
| POTE generator: ~28/25 = 194.594
| | == Slendric == |
| | {{Main| Slendric }} |
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
|
| |
|
| Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
| | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| |
| Error: 2.555 cents
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|
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|
| [[roulette6]] - six note [[haplotonic scale]] | | Scales: |
| [[roulette7]] - seven note [[albitonic scale]] | | * [[Slendric5]] – 5-tone haplotonic scale |
| [[roulette13]] - thirteen note [[chromatic scale]] <-- this scale has to be repaired | | * [[Slendric6]] – 6-tone haplotonic scale |
| [[roulette19]] - nineteen note [[mega chromatic scale]] | | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
|
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|
| =Garibaldi= | | == Huntington == |
| Group: 2.3.5.7
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| Commas: 225/224, 3125/3087
| |
| Val name: 12&29
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|
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|
| POTE generator: ~3/2 = 702.085
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
|
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|
| Map: [<1 0 15 25|, <0 1 -8 -14|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 94
| | * [[Huntington7]] – 7-tone haplotonic scale |
| Error: 2.834
| | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
|
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|
| [[garibaldi12|Twelve note albitonic scale]]
| | == Tobago == |
| [[garibaldi17|Seventeen note chromatic scale]]
| | {{See also| Subgroup temperaments #Tobago }} |
|
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|
| =Baldy=
| | Scales: |
| Subgroup: 2.9.5.7.13
| | * [[Tobago6]] – 6-tone haplotonic scale |
| Commas: 225/224, 325/324, 640/637
| | * [[Tobago10]] – 10-tone albitonic scale |
| Sval name: 6&35
| | * [[Tobago14]] – 14-tone chromatic scale |
| Related temperament: [[Schismatic family|Garibaldi]]
| | * [[Tobago24]] – 24-tone quatertone scale |
|
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|
| POTE generator: ~9/8 = 204.090
| | == Pepperoni == |
| | {{See also| Parapyth }} |
| | {{See also| Subgroup temperaments #Pepperoni }} |
|
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|
| Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|]
| | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| EDOs: 6, 11, 17, 23, 29, 35, 41, [[47edo|47]], 100, [[147edo|147]]
| |
| Error: 2.617 cents
| |
|
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|
| [[baldy6]] - six note [[haplotonic scale]]
| | Scales: |
| [[baldy11]] - eleven note [[albitonic scale]] | | * [[Pepperoni7]] – 7-tone albitonic scale |
| [[baldy17]] - seventeen note [[chromatic scale]] | | * [[Pepperoni12]] – 12-tone chromatic scale |
|
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| =Bossier= | | == Wizz == |
| Subgroup: 2.7.11.13
| | {{See also| No-threes subgroup temperaments #Wizz }} |
| Commas: 1573/1569, 15488/15379
| |
| Sval name: 3&17
| |
|
| |
|
| POTE generator: ~14/11 = 421.309
| | Scales: |
| | * [[Wizz6]] – 6-tone haplotonic scale |
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 0 1 3|, <0 8 7 2|]
| | == Bossier == |
| EDOs: 17, 20, 37, 57, 94, 225
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| Error: 2.665 cents
| |
|
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|
| [[bossier8|Eight note albitonic scale]] | | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| [[bossier11|Eleven note chromatic scale]]
| |
| [[bossier14|Fourteen note mega chromatic scale]]
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|
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|
| =Radon=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Bossier8]] – 8-tone albitonic scale |
| Commas: 896/891, 1029/1024
| | * [[Bossier11]] – 11-tone chromatic scale |
| Sval name: 5&36
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
| Related temperament: [[Gamelismic clan|Rodan]]
| |
|
| |
|
| POTE generator: ~8/7 = 234.381
| | == Penta a.k.a. mechanism == |
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
|
| |
|
| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | Scales: |
| EDOs: 5, 36, 41, 87, 128
| | * [[Penta5]] – 5-tone haplotonic scale |
| Error: 2.925 cents
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[radon5|Five note haplotonic scale]]
| | == Bluebirds == |
| [[radon11|Eleven note albitonic scale]]
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| [[radon16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Myna=
| | Scales: |
| Group: 2.3.5.7
| | * [[Bluebirds6]] – 6-tone haplotonic scale |
| Commas: 126/125, 1728/1715
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| Val name: 4&27
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~6/5 = 310.146
| | == Marveltri == |
| | {{See also| Subgroup temperaments #Marveltri }} |
|
| |
|
| Map: [<1 9 9 8|, <0 -10 -9 -7|]
| | Scales: |
| EDOs: 4, 27, 31, 58, 89
| | * [[Marveltri7]] – 7-tone albitonic scale |
| Error: 3.310 cents
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
| |
|
| [[myna7|Seven note albitonic scale]]
| | == Edson == |
| [[myna11|Eleven note chromatic scale]]
| | {{See also| Subgroup temperaments #Edson }} |
| [[myna15|Fifteen note mega chromatic scale]]
| |
|
| |
|
| =Silver=
| | Scales: |
| Subgroup: 2.5.7.13.17
| | * [[Edson5]] – 5-tone haplotonic scale |
| Commas: 170/169, 640/637, 5525/5488
| | * [[Edson7]] – 7-tone albitonic scale |
| Sval name: 10&27
| | * [[Edson12]] – 12-tone chromatic scale |
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~13/8 = 842.711
| | == Photia == |
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
|
| |
|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| EDOs: 7, 10, 17, 27, 37, [[47edo|47]], 84, 131, [[487edo|487]]
| |
| Error: 3.437
| |
|
| |
|
| [[silver7]] -seven note [[haplotonic scale]]
| | Scales: |
| [[silver10]] - ten note [[albitonic scale]] | | * [[Photia7]] – 7-tone albitonic scale |
| [[silver17]] - seventeen note [[chromatic scale]] | | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| =Meantone= | | == Shoe a.k.a. llywelyn == |
| Group: 2.3.5.7
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| Commas: 81/80, 126/125
| |
| Val name: 12&19
| |
|
| |
|
| POTE generator: 696.495
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
|
| |
|
| Map: [<1 0 -4 -13|, <0 1 4 10|]
| | Scales: |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| Error: 3.585
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| [[meantone5|Five note haplotonic scale]]
| | == Roulette == |
| [[meantone7|Seven note albitonic scale]]
| | {{See also | Hemimean clan #Roulette }} |
| [[meantone12|Twelve note chromatic scale]]
| |
|
| |
|
| =Indium=
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| Subgroup: 2.5/3.7/3.11/3
| |
| Commas: 3025/3024, 3125/3087
| |
| Sval name: 8&33
| |
|
| |
|
| POTE generator: ~12/11 = 147.159
| | Scales: |
| | * [[Roulette6]] – 6-tone haplotonic scale |
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | == Silver == |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| | {{See also | No-threes subgroup temperaments #Silver }} |
| Error: 3.968 cents
| |
|
| |
|
| [[indium8|Eight note albitonic scale]] | | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| [[indium17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Magic=
| | Scales: |
| Group: 2.3.5.7.11
| | * [[Silver7]] – 7-tone haplotonic scale |
| Commas: 100/99, 225/224, 245/243
| | * [[Silver10]] – 10-tone albitonic scale |
| Val name: 19&22
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~5/4 = 380.696
| | == Baldy == |
| | {{See also| Subgroup temperaments #Baldy }} |
|
| |
|
| Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
| EDOs: 19, 22, 41, 104, 145
| |
| Error: 4.489
| |
|
| |
|
| [[magic7|Seven note haplotonic scale]] | | Scales |
| [[magic10|Ten note albitonic scale]] | | * [[Baldy6]] – 6-tone haplotonic scale |
| [[magic13|Thirteen note chromatic scale]] | | * [[Baldy11]] – 11-tone albitonic scale |
| [[magic16|Sixteen note mega chromatic scale]]
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| =Hemif=
| |
| Subgroup: 2.3.7.11.13
| |
| Commas: 144/143, 243/242, 364/363
| |
| Related temperament: [[Breedsmic temperaments|Hemififths]]
| |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | == Guanyintet == |
| | {{See also | Subgroup temperaments #Guanyintet }} |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 41, 58
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Error: 4.867 cents
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| [[hemif7|Seven note haplotonic scale]]
| | == Radon == |
| [[hemif10|Ten note albitonic scale]]
| | {{See also| Gamelismic clan #Radon }} |
| [[hemif17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Skwares=
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| Subgroup: 2.3.7.11
| |
| Commas: 99/98, 243/242
| |
| Related temperament: [[Meantone family|squares]]
| |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | * [[Radon5]] – 5-tone haplotonic scale |
| | * [[Radon11]] – 11-tone albitonic scale |
| | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | == Gariberttet == |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | {{See also | Subgroup temperaments #Gariberttet }} |
| Error: 4.942 cents
| |
|
| |
|
| [[skwares8|Eight note albitonic scale]] | | Scales: |
| [[skwares11|Eleven note mega albitonic scale]] | | * [[Gariberttet5]] – 5-tone haplotonic scale |
| [[skwares14|Fourteen note chromatic scale]] | | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| =Sensi= | | == Namo == |
| Group: 2.3.5.7
| | {{See also| Rastmic clan #Namo }} |
| Commas: 126/126, 245/243
| |
| Val name: 19&27
| |
|
| |
|
| POTE generator: ~9/7 = 443.383
| | Scales: |
| | * [[Namo7]] – 7-tone haplotonic scale |
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 6 8 11|, <0 -7 -9 -13|]
| | == Sentry == |
| EDOs: 5, 8, 11, 19, 27, 46
| | {{See also | Subgroup temperaments #Sentry }} |
| Error: 5.019
| |
|
| |
|
| [[sensi5|Five note haplotonic scale]] | | Scales: |
| [[sensi8|Eight note albitonic scale]] | | * [[Sentry5]] – 5-tone haplotonic scale |
| [[sensi11|Eleven note mega albitonic scale]] | | * [[Sentry8]] – 8-tone albitonic scale |
| [[sensi19|Nineteen note chromatic scale]]
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| =Greeley= | | == Hemif == |
| Subgroup: 2.5/3.7/3.11/3
| | {{See also| No-fives subgroup temperaments #Hemif }} |
| Commas: 121/120, 126/125
| |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | Scales: |
| EDOs: 8, 15, 23, 77, 100
| | * [[Hemif7]] – 7-tone haplotonic scale |
| Error: 5.404 cents
| | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| [[greeley8|Eight note albitonic scale]]
| | == Garibaldi == |
| [[greeley15|Fifteen note chromatic scale]]
| | {{Main| Garibaldi temperament }} |
| | {{See also| Schismatic family #Garibaldi }} |
|
| |
|
| =Semidim=
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| Subgroup: 2.5/3.7/3.11/3.13/3
| |
| Commas: 121/120, 169/168, 275/273
| |
| Sval name: 8&29
| |
|
| |
|
| POTE generator: ~13/10 = 453.190
| | Scales: |
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | == Mabilic == |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| Error: 5.433 cents
| |
|
| |
|
| [[semidim8|Eight note albitonic scale]] | | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| [[semidim13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Orwell=
| | Scales: |
| Group: 2.3.5.7.11
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| Commas: 99/98, 121/120, 176/175
| | * [[Mabilic9]] – 9-tone albitonic scale |
| Val name: 9&22
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: ~7/6 = 271.426
| | == Indium == |
| | {{See also | Subgroup temperaments #Indium }} |
|
| |
|
| Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| EDOs: 9, 22, 31, 53, 84
| |
| Error: 5.584
| |
|
| |
|
| [[orwell5|Five note haplotonic scale]] | | Scales: |
| [[orwell9|Nine note albitonic scale]] | | * [[Indium8]] – 8-tone albitonic scale |
| [[orwell13|Thirteen note chromatic scale]]
| | * [[Indium17]] – 17-tone chromatic scale |
|
| |
|
| =Bleu=
| | ; Music |
| Group: 2.3.7.11.13
| | * ''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] |
| Commas: 78/77, 99/98, 144/143
| |
| Sval name: 9&17
| |
|
| |
|
| POTE generator: ~13/12 = 139.990
| | == Starlingtet == |
| | {{See also | Subgroup temperaments #Starlingtet }} |
|
| |
|
| Map: [<1 1 2 3 3|, <0 5 7 4 6|]
| | Scales: |
| EDOs: [[9edo|9]], [[17edo|17]], [[43edo|43]], [[60edo|60]]
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| Error: 6.361
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| [[bleu8]] - Eight note [[haplotonic scale]]
| | == Lovecraft == |
| [[bleu9]] - Nine note [[albitonic scale]]
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
| [[bleu17]] - Seventeen note [[chromatic scale]]
| |
|
| |
|
| =Mohaha=
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| Subgroup: 2.3.5.11
| |
| Commas: 81/80, 121/120
| |
| Related temperament: [[Meantone family|mohajira]]
| |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | Scales: |
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | == Blackbirds == |
| EDOs: 7, 10, 17, 24, 31, 131
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| Error: 6.733 cents
| |
|
| |
|
| [[mohaha7|Seven note albitonic scale]] | | Scales: |
| [[mohaha10|Ten note chromatic scale]] | | * [[Blackbirds8]] – 8-tone albitonic scale |
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| ==Mohoho== | | == Laz == |
| Subgroup: 2.3.5.11.13 | | {{See also | Subgroup temperaments #Laz }} |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | Scales: |
| | * [[Laz5]] – 5-tone haplotonic scale |
| | * [[Laz9]] – 9-tone albitonic scale |
| | * [[Laz13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | == Myna == |
| EDOs: 7, 10, 17, 24, 31, 55
| | {{Main| Myna }} |
| Error: 9.556 cents
| | {{See also| Starling temperaments #Myna }} |
|
| |
|
| =Tutone=
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| Subgroup: 2.9.5.7.11
| |
| Commas: 81/80, 99/98, 126/125
| |
| Related temperament: [[Meantone family|meantone]]
| |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | Scales: |
| | * [[Myna7]] – 7-tone haplotonic scale |
| | * [[Myna11]] – 11-tone albitonic scale |
| | * [[Myna15]] – 15-tone chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | == Greeley == |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| | {{See also| Subgroup temperaments #Greeley }} |
| Error: 7.047 cents
| |
|
| |
|
| [[tutone6|Six note haplotonic scale]] | | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| [[tutone7|Seven note albitonic scale]]
| |
| [[tutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Leantone=
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Greeley8]] – 8-tone albitonic scale |
| Commas: 45/44, 56/55, 81/80
| | * [[Greeley15]] – 15-tone chromatic scale |
| Related temperament: [[Meantone family|flattone]]
| |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | ; Music |
| | * ''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] |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | == Ammon == |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| | {{See also| Subgroup temperaments #Ammon }} |
| Error: 20.338 cents
| |
|
| |
|
| [[leantone6|Six note haplotonic scale]] | | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| [[leantone7|Seven note albitonic scale]]
| |
| [[leantone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Score=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Ammon8]] – 8-tone albitonic scale |
| Commas: 343/338, 847/832
| | * [[Ammon13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | == Mothwelltri == |
| | {{See also| Subgroup temperaments #Mothwelltri }} |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | Scales: |
| EDOs: 5, 7, 9, 11, 20
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| Error: 8.052 cents
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
|
| |
|
| [[score5|Five note haplotonic scale]]
| | == Sulis == |
| [[score7|Seven note albitonic scale]]
| | {{See also| Subgroup temperaments #Sulis }} |
| [[score9|Nine note mega albitonic scale]]
| |
| [[score11|Eleven note chromatic scale]]
| |
|
| |
|
| =Supra=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Sulis7]] – 7-tone haplotonic scale |
| Commas: 64/63, 99/98
| | * [[Sulis10]] – 10-tone albitonic scale |
| Related temperament: [[Archytas clan|superpyth]]
| | * [[Sulis13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | == Skwares == |
| | {{Main| Squares }} |
| | {{See also| No-fives subgroup temperaments #Skwares }} |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| |
| Error: 9.795 cents
| |
|
| |
|
| [[supra7|Seven note albitonic scale]] | | Scales: |
| [[supra12|Twelve note chromatic scale]] | | * [[Skwares8]] – 8-tone albitonic scale |
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| | * [[Skwares14]] – 14-tone chromatic scale |
|
| |
|
| ==Supraphon== | | == Orwell == |
| Subgroup: 2.3.7.11.13
| | {{Main| Orwell }} |
| Commas: 64/63, 78/77, 99/98
| | {{See also| Semicomma family #Orwell }} |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | Scales: |
| EDOs: 5, 7, 12, 17
| | * [[Orwell5]] – 5-tone haplotonic scale |
| Error: 10.534 cents
| | * [[Orwell9]] – 9-tone albitonic scale |
| | * [[Orwell13]] – 13-tone chromatic scale |
|
| |
|
| ==Machine== | | == Magicaltet == |
| Subgroup: 2.9.7.11 | | {{See also| Subgroup temperaments #Magicaltet }} |
| Commas: 64/63, 99/98
| |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | Scales: |
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | == Magic == |
| EDOs: 5, 6, 11, 17, 28
| | {{Main| Magic }} |
| Error: 10.100 cents
| | {{See also| Magic family #Magic }} |
|
| |
|
| [[machine5|Five note haplotonic scale]] | | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| [[machine6|Six note albitonic scale]]
| |
| [[machine11|Eleven note chromatic scale]]
| |
|
| |
|
| =Deutone=
| | Scales: |
| Subgroup: 2.9.5.7.13
| | * [[Magic7]] – 7-tone haplotonic scale |
| Commas: 65/64, 81/80, 91/90
| | * [[Magic10]] – 10-tone albitonic scale |
| Related temperament: [[Meantone family|meanpop]]
| | * [[Magic13]] – 13-tone chromatic scale |
| | * [[Magic16]] – 16-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 191.059
| | == Kiribati == |
| | {{See also| Subgroup temperaments #Kiribati }} |
|
| |
|
| Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 44, 69
| | * [[Kiribati13]] – 13-tone chromatic scale |
| Error: 12.145 cents
| | * [[Kiribati14]] – 14-tone chromatic scale |
|
| |
|
| [[deutone6|Six note haplotonic scale]]
| | == Score == |
| [[deutone7|seven note albitonic scale]]
| | {{See also|No-threes subgroup temperaments #Score }} |
| [[deutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Augment=
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| Subgroup: 2.5.7.11
| |
| Commas: 56/55, 128/125
| |
| Related temperament: [[Augmented family|augmented]]
| |
|
| |
|
| POTE generator: ~8/7 = 228.275
| | Scales: |
| | * [[Score5]] – 5-tone haplotonic scale |
| | * [[Score7]] – 7-tone albitonic scale |
| | * [[Score9]] – 9-tone mega-albitonic scale |
| | * [[Score11]] – 11-tone chromatic scale |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | == Sensi == |
| EDOs: 3, 6, 9, 15, 21
| | {{Main| Sensi }} |
| Error: 12.830 cents
| | {{See also| Sensipent family #Sensi }} |
|
| |
|
| [[augment6|Six note haplotonic scale]] | | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| [[augment9|Nine note albitonic scale]] | | |
| [[augment12|Twelve note chromatic scale]]</pre></div> | | Scales: |
| <h4>Original HTML content:</h4>
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:72:&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:72 --><!-- ws:start:WikiTextTocRule:73: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --><!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --><!-- ws:end:WikiTextTocRule:106 --><!-- ws:start:WikiTextTocRule:107: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:107 --><!-- ws:start:WikiTextTocRule:108: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:108 --><!-- ws:start:WikiTextTocRule:109: -->
| | * [[Sensi8]] – 8-tone albitonic scale |
| <!-- ws:end:WikiTextTocRule:109 --><hr />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Definitions"></a><!-- ws:end:WikiTextHeadingRule:0 -->Definitions</h1>
| | |
| By a <em>chromatic pair</em> is meant a pair of <a class="wiki_link" href="/MOSScales">MOS</a> in some rank two temperament (which may often be a <a class="wiki_link" href="/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="/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 />
| | === Sensation === |
| <br />
| | {{Main| Sensi }} |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:2 -->Terrain</h1>
| | {{See also| Sensipent family #Sensi }} |
| Subgroup: 2.9/5.9/7<br />
| | |
| Commas: 250047/250000<br />
| | Scales: |
| Sval name: 6&amp;21<br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Related temperament: <a class="wiki_link" href="/Minortonic%20family#Domain">domain</a><br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| <br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~10/9 = 182.462<br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| <br />
| | |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | == Meantone == |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | {{Main| Meantone }} |
| Error: 0.0443 cents<br />
| | {{See also| Meantone family #Meantone }} |
| <br />
| | |
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br />
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| <br />
| | |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | * [[Meantone5]] – 5-tone haplotonic scale |
| <br />
| | * [[Meantone7]] – 7-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:4 -->Bridgetown</h1>
| | * [[Meantone12]] – 12-tone chromatic scale |
| Subgroup: 2.3.11/5.13/5<br />
| | |
| Commas: 352/351, 676/675<br />
| | == Mohaha == |
| Sval name: 5&amp;24<br />
| | {{See also| Rastmic clan #Mohaha }} |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabados</a><br />
| | |
| <br />
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| POTE generator: ~15/13 = 248.285<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | * [[Mohaha7]] – 7-tone albitonic scale |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | * [[Mohaha10]] – 10-tone chromatic scale |
| Error: 0.8996 cents<br />
| | |
| <br />
| | Music: |
| <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
| | ; [[Billy Stiltner]] |
| <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:6 -->Cata</h1>
| | === Mohoho === |
| Subgroup: 2.3.5.13<br />
| | {{See also| Rastmic clan #Mohoho }} |
| Commas: 325/324, 625/624<br />
| | |
| Sval name: 15&amp;19<br />
| | == Joan == |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | {{See also| Subgroup temperaments #Joan }} |
| <br />
| | |
| POTE generator: ~6/5 = 317.076<br />
| | Scales: |
| <br />
| | * [[Joan5]] – 5-tone haplotonic scale |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | * [[Joan7]] – 7-tone albitonic scale |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333<br />
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| Error: 0.9355 cents<br />
| | * [[Joan11]] – 11-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br />
| | == Tutone == |
| <a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br />
| | {{See also| Hemimean clan #Tutone }} |
| <a class="wiki_link" href="/cata15">Fifteen note chromatic scale</a><br />
| | |
| <a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br />
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:8 -->Tridec</h1>
| | Scales: |
| Subgroup: 2.7/5.11/5.13/5<br />
| | * [[Tutone6]] – 6-tone haplotonic scale |
| Commas: 847/845, 1001/1000<br />
| | * [[Tutone7]] – 7-tone albitonic scale |
| Sval name: 5&amp;8<br />
| | * [[Tutone13]] – 13-tone chromatic scale |
| <br />
| | |
| POTE generator: ~13/10 = 454.461<br />
| | == Stacks == |
| <br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
| | |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235<br />
| | Scales: |
| Error: 1.057<br />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| <br />
| | * [[Stacks8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/Tridec8">Eight note albitonic scale</a><br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/Tridec13">Thirteen note chromatic scale</a><br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:10 -->Pepperoni</h1>
| | == Bleu == |
| Subgroup: 2.3.11/7.13/7<br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| Commas: 352/351, 364/363<br />
| | |
| Sval name: 5&amp;12<br />
| | Scales: |
| Related temperament: The <a class="wiki_link" href="/Peppermint-24">Pepper fifth</a>, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.<br />
| | * [[Bleu8]] – 8-tone haplotonic scale |
| <br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| POTE generator: ~3/2 = 704.052<br />
| | * [[Bleu17]] – 17-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | == Sephiroth == |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| Error: 1.298 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| <br />
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:12 -->Nestoria</h1>
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| Subgroup: 2.3.5.19<br />
| | |
| Commas: 361/360, 513/512<br />
| | == Archy == |
| Sval name: 12&amp;29<br />
| | {{Main| Superpyth }} |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | {{See also| Archytas clan #Archy }} |
| <br />
| | |
| POTE generator: ~3/2 = 701.746<br />
| | Scales: |
| <br />
| | * [[Archy5]] – 5-tone haplotonic scale |
| Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]<br />
| | * [[Archy7]] – 7-tone albitonic scale |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| | * [[Archy12]] – 12-tone chromatic scale |
| Error: 1.819 cents<br />
| | |
| <br />
| | === Supra === |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | {{Main| Superpyth }} |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | {{See also| Archytas clan #Supra }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:14 -->Photia</h1>
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| Subgroup: 2.3.5.17.19<br />
| | |
| Commas: 171/170, 256/255, 324/323<br />
| | Scales: |
| Sval name: 12&amp;41<br />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| <br />
| | |
| POTE generator: ~3/2 = 701.470<br />
| | === Supraphon === |
| <br />
| | {{Main| Superpyth }} |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | {{See also| Archytas clan #Supraphon }} |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | |
| Error: 3.457 cents<br />
| | == Suhajira == |
| <br />
| | {{See also| Archytas clan #Suhajira }} |
| <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:16 -->Huntington</h1>
| | * [[Suhajira10]] – 10-tone albitonic scale |
| Subgroup: 2.5.7.13<br />
| | * [[Suhajira17]] – 17-tone chromatic scale |
| Commas: 640/637, 10985/10976<br />
| | |
| Sval name: 10&amp;27<br />
| | == Machine == |
| <br />
| | {{See also| Subgroup temperaments #Machine}} |
| POTE generator: ~16/13 = 357.002<br />
| | |
| <br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | Scales: |
| Error: 2.1001 cents<br />
| | * [[Machine5]] – 5-tone haplotonic scale |
| <br />
| | * [[Machine6]] – 6-tone albitonic scale |
| <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br />
| | * [[Machine11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | == Deutone == |
| <br />
| | {{See also| Hemimean clan #Deutone }} |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:18 -->Roulette</h1>
| | |
| Subgroup: 2.5.7.11.13<br />
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| Commas: 176/175, 1375/1372, 640/637<br />
| | |
| Sval name: 6&amp;25<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| | * [[Deutone6]] – 6-tone haplotonic scale |
| <br />
| | * [[Deutone7]] – 7-tone albitonic scale |
| POTE generator: ~28/25 = 194.594<br />
| | * [[Deutone13]] – 13-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]<br />
| | == Negra == |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | {{Main| Negri }} |
| Error: 2.555 cents<br />
| | {{See also| Marvel temperaments #Negri }} |
| <br />
| | |
| <a class="wiki_link" href="/roulette6">roulette6</a> - six note <a class="wiki_link" href="/haplotonic%20scale">haplotonic scale</a><br />
| | == Porkypine == |
| <a class="wiki_link" href="/roulette7">roulette7</a> - seven note <a class="wiki_link" href="/albitonic%20scale">albitonic scale</a><br />
| | {{Main| Porcupine }} |
| <a class="wiki_link" href="/roulette13">roulette13</a> - thirteen note <a class="wiki_link" href="/chromatic%20scale">chromatic scale</a> &lt;-- this scale has to be repaired<br />
| | {{See also| Porcupine family #Porcupine }} |
| <a class="wiki_link" href="/roulette19">roulette19</a> - nineteen note <a class="wiki_link" href="/mega%20chromatic%20scale">mega chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:20 -->Garibaldi</h1>
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| Group: 2.3.5.7<br />
| | * [[Porkypine8]] – 8-tone albitonic scale |
| Commas: 225/224, 3125/3087<br />
| | * [[Porkypine15]] – 15-tone chromatic scale |
| Val name: 12&amp;29<br />
| | |
| <br />
| | == Skateboard == |
| POTE generator: ~3/2 = 702.085<br />
| | {{See also| Subgroup temperaments #Skateboard }} |
| <br />
| | |
| Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]<br />
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 94<br />
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| Error: 2.834<br />
| | * [[Skateboard11]] – 11-tone albitonic scale |
| <br />
| | * [[Skateboard15]] – 15-tone chromatic scale |
| <a class="wiki_link" href="/garibaldi12">Twelve note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/garibaldi17">Seventeen note chromatic scale</a><br />
| | == Augment == |
| <br />
| | {{See also| No-threes subgroup temperaments #Augment }} |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:22 -->Baldy</h1>
| | |
| Subgroup: 2.9.5.7.13<br />
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| Commas: 225/224, 325/324, 640/637<br />
| | |
| Sval name: 6&amp;35<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
| | * [[Augment6]] – 6-tone haplotonic scale |
| <br />
| | * [[Augment9]] – 9-tone albitonic scale |
| POTE generator: ~9/8 = 204.090<br />
| | * [[Augment12]] – 12-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]<br />
| | == Semaphore == |
| EDOs: 6, 11, 17, 23, 29, 35, 41, <a class="wiki_link" href="/47edo">47</a>, 100, <a class="wiki_link" href="/147edo">147</a><br />
| | {{Main| Semaphore and godzilla }} |
| Error: 2.617 cents<br />
| | {{See also| Semaphoresmic clan #Semaphore }} |
| <br />
| | |
| <a class="wiki_link" href="/baldy6">baldy6</a> - six note <a class="wiki_link" href="/haplotonic%20scale">haplotonic scale</a><br />
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| <a class="wiki_link" href="/baldy11">baldy11</a> - eleven note <a class="wiki_link" href="/albitonic%20scale">albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/baldy17">baldy17</a> - seventeen note <a class="wiki_link" href="/chromatic%20scale">chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:24 -->Bossier</h1>
| | * [[Semaphore9]] – 9-tone albitonic scale |
| Subgroup: 2.7.11.13<br />
| | * [[Semaphore14]] – 14-tone chromatic scale |
| Commas: 1573/1569, 15488/15379<br />
| | |
| Sval name: 3&amp;17<br />
| | == Kryptonite == |
| <br />
| | {{See also| Subgroup temperaments #Kryptonite }} |
| POTE generator: ~14/11 = 421.309<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| EDOs: 17, 20, 37, 57, 94, 225<br />
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| Error: 2.665 cents<br />
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/bossier8">Eight note albitonic scale</a><br />
| | == Oregon == |
| <a class="wiki_link" href="/bossier11">Eleven note chromatic scale</a><br />
| | {{See also| Orgonia #Oregon }} |
| <a class="wiki_link" href="/bossier14">Fourteen note mega chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:26 -->Radon</h1>
| | * [[Oregon7]] – 7-tone haplotonic scale |
| Subgroup: 2.3.7.11<br />
| | * [[Oregon11]] – 11-tone albitonic scale |
| Commas: 896/891, 1029/1024<br />
| | * [[Oregon15]] – 15-tone chromatic scale |
| Sval name: 5&amp;36<br />
| | |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><br />
| | == Antikythera == |
| <br />
| | {{See also| Jubilismic clan #Antikythera }} |
| POTE generator: ~8/7 = 234.381<br />
| | |
| <br />
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| | |
| EDOs: 5, 36, 41, 87, 128<br />
| | Scales: |
| Error: 2.925 cents<br />
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| <br />
| | * [[Antikythera10]] – 10-tone albitonic scale |
| <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
| | * [[Antikythera16]] – 16-tone chromatic scale |
| <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
| | == Glacial == |
| <br />
| | {{See also| Subgroup temperaments #Glacial }} |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:28 -->Myna</h1>
| | |
| Group: 2.3.5.7<br />
| | Scales: |
| Commas: 126/125, 1728/1715<br />
| | * [[Glacial6]] – 6-tone haplotonic scale |
| Val name: 4&amp;27<br />
| | * [[Glacial7]] – 7-tone albitonic scale |
| <br />
| | * [[Glacial13]] – 13-tone chromatic scale |
| POTE generator: ~6/5 = 310.146<br />
| | |
| <br />
| | == Leantone == |
| Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br />
| | {{See also| Hemimean clan #Leantone }} |
| EDOs: 4, 27, 31, 58, 89<br />
| | |
| Error: 3.310 cents<br />
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| <br />
| | |
| <a class="wiki_link" href="/myna7">Seven note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/myna11">Eleven note chromatic scale</a><br />
| | * [[Leantone6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/myna15">Fifteen note mega chromatic scale</a><br />
| | * [[Leantone7]] – 7-tone albitonic scale |
| <br />
| | * [[Leantone13]] – 13-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:30 -->Silver</h1>
| | |
| Subgroup: 2.5.7.13.17<br />
| | == Notes == |
| Commas: 170/169, 640/637, 5525/5488<br />
| | |
| Sval name: 10&amp;27<br />
| | [[Category:Lists of scales]] |
| <br />
| | [[Category:Tempered scales| ]] |
| POTE generator: ~13/8 = 842.711<br />
| | [[Category:Listen]] |
| <br />
| | [[Category:Rank 2]] |
| 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="/47edo">47</a>, 84, 131, <a class="wiki_link" href="/487edo">487</a><br />
| | {{todo|cleanup}} |
| Error: 3.437<br />
| |
| <br />
| |
| <a class="wiki_link" href="/silver7">silver7</a> -seven note <a class="wiki_link" href="/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/silver10">silver10</a> - ten note <a class="wiki_link" href="/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="/silver17">silver17</a> - seventeen note <a class="wiki_link" href="/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:32 -->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="/meantone5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/meantone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/meantone12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:34 -->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="/indium8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/indium17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:36 -->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="/magic7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/magic10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/magic13">Thirteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="/magic16">Sixteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:38 -->Hemif</h1>
| |
| Subgroup: 2.3.7.11.13<br />
| |
| Commas: 144/143, 243/242, 364/363<br />
| |
| Related temperament: <a class="wiki_link" href="/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="/hemif7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/hemif10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:40 -->Skwares</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 99/98, 243/242<br />
| |
| Related temperament: <a class="wiki_link" href="/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="/skwares8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/skwares11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:42 -->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="/sensi5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/sensi8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/sensi11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="/sensi19">Nineteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:44 -->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="/greeley8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id="toc23"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:46 -->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="/semidim8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/semidim13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:48 -->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="/orwell5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/orwell9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/orwell13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:50:&lt;h1&gt; --><h1 id="toc25"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:50 -->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="/9edo">9</a>, <a class="wiki_link" href="/17edo">17</a>, <a class="wiki_link" href="/43edo">43</a>, <a class="wiki_link" href="/60edo">60</a><br />
| |
| Error: 6.361<br />
| |
| <br />
| |
| <a class="wiki_link" href="/bleu8">bleu8</a> - Eight note <a class="wiki_link" href="/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/bleu9">bleu9</a> - Nine note <a class="wiki_link" href="/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="/bleu17">bleu17</a> - Seventeen note <a class="wiki_link" href="/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:52:&lt;h1&gt; --><h1 id="toc26"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:52 -->Mohaha</h1>
| |
| Subgroup: 2.3.5.11<br />
| |
| Commas: 81/80, 121/120<br />
| |
| Related temperament: <a class="wiki_link" href="/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="/mohaha7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:54:&lt;h2&gt; --><h2 id="toc27"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:54 -->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:56:&lt;h1&gt; --><h1 id="toc28"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:56 -->Tutone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 81/80, 99/98, 126/125<br />
| |
| Related temperament: <a class="wiki_link" href="/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="/tutone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/tutone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:58:&lt;h1&gt; --><h1 id="toc29"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:58 -->Leantone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 45/44, 56/55, 81/80<br />
| |
| Related temperament: <a class="wiki_link" href="/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="/leantone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/leantone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:60:&lt;h1&gt; --><h1 id="toc30"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:60 -->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="/score5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/score7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/score9">Nine note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="/score11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:62:&lt;h1&gt; --><h1 id="toc31"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:62 -->Supra</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| Related temperament: <a class="wiki_link" href="/Archytas%20clan">superpyth</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="/supra7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:64:&lt;h2&gt; --><h2 id="toc32"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:64 -->Supraphon</h2>
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| Subgroup: 2.3.7.11.13<br />
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| Commas: 64/63, 78/77, 99/98<br />
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| <br />
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| POTE generator: ~3/2 = 706.137<br />
| |
| <br />
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| Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br />
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| EDOs: 5, 7, 12, 17<br />
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| Error: 10.534 cents<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:66:&lt;h2&gt; --><h2 id="toc33"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:66 -->Machine</h2>
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| Subgroup: 2.9.7.11<br />
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| Commas: 64/63, 99/98<br />
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| <br />
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| POTE generator: ~9/8 = 214.384<br />
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| <br />
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| Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
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| EDOs: 5, 6, 11, 17, 28<br />
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| Error: 10.100 cents<br />
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| <br />
| |
| <a class="wiki_link" href="/machine5">Five note haplotonic scale</a><br />
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| <a class="wiki_link" href="/machine6">Six note albitonic scale</a><br />
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| <a class="wiki_link" href="/machine11">Eleven note chromatic scale</a><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:68:&lt;h1&gt; --><h1 id="toc34"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:68 -->Deutone</h1>
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| Subgroup: 2.9.5.7.13<br />
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| Commas: 65/64, 81/80, 91/90<br />
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| Related temperament: <a class="wiki_link" href="/Meantone%20family">meanpop</a><br />
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| <br />
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| POTE generator: ~9/8 = 191.059<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br />
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| EDOs: 6, 7, 13, 19, 25, 44, 69<br />
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| Error: 12.145 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/deutone6">Six note haplotonic scale</a><br />
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| <a class="wiki_link" href="/deutone7">seven note albitonic scale</a><br />
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| <a class="wiki_link" href="/deutone13">Thirteen note chromatic scale</a><br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:70:&lt;h1&gt; --><h1 id="toc35"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:70 -->Augment</h1>
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| Subgroup: 2.5.7.11<br />
| |
| Commas: 56/55, 128/125<br />
| |
| Related temperament: <a class="wiki_link" href="/Augmented%20family">augmented</a><br />
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| <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="/augment6">Six note haplotonic scale</a><br />
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| <a class="wiki_link" href="/augment9">Nine note albitonic scale</a><br />
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| <a class="wiki_link" href="/augment12">Twelve note chromatic scale</a></body></html></pre></div>
| |