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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-08-20 23:30:24 UTC</tt>.<br>
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| : The original revision id was <tt>247294919</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]]
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|
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|
| [[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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|
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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 |
|
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|
| 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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|
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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]]
| |
| [[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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|
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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 }} |
|
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|
| [[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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|
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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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|
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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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| =Slendric= | | == Cata == |
| Subgroup: 2.3.7
| | {{Main| Kleismic }} |
| Comma: 1029/1024
| | {{See also| Kleismic family #Cata }} |
| Sval name: 5&21
| |
|
| |
|
| POTE generator: ~8/7 = 233.688
| | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
|
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|
| Map: [<1 1 3|, <0 3 -1|]
| | Scales: |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
| | * [[Cata7]] – 7-tone albitonic scale |
| Error: 11.363
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
|
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|
| [[slendric5|Five note haplotonic scale]]
| | == Bridgetown == |
| [[slendric6|Six note haplotonic scale]]
| | {{See also| Subgroup temperaments #Bridgetown }} |
| [[slendric11|Eleven note albitonic scale]]
| |
| [[slendric16|Sixteen note chromatic scale]]
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|
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|
| =Nestoria=
| | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| Subgroup: 2.3.5.19
| |
| Commas: 361/360, 513/512
| |
| Sval name: 12&29
| |
| Related temperament: [[Schismatic family|schismatic]]
| |
|
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|
| POTE generator: ~3/2 = 701.746
| | Scales: |
| | * [[Bridgetown9]] – 9-tone albitonic scale |
| | * [[Bridgetown14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 0 15 9|, <0 1 -8 -3|]
| | ; Music |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | * [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: 1.819 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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|
| [[nestoria7|Seven note albitonic scale]]
| | == Haumea == |
| [[nestoria12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Haumea }} |
|
| |
|
| =Photia=
| | Scales: |
| Subgroup: 2.3.5.17.19
| | * [[Haumea5]] – 5-tone haplotonic scale |
| Commas: 171/170, 256/255, 324/323
| | * [[Haumea9]] – 9-tone albitonic scale |
| Sval name: 12&41
| | * [[Haumea14]] – 14-tone chromatic scale |
| Related temperament: [[Schismatic family|schismatic]]
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
|
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|
| POTE generator: ~3/2 = 701.470
| | == Neutral == |
| | {{See also| Rastmic clan #Neutral }} |
|
| |
|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| |
| Error: 3.457 cents
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|
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|
| [[photia7|Seven note albitonic scale]] | | Scales: |
| [[photia12|Twelve note chromatic scale]] | | * [[Neutral7]] – 7-tone albitonic scale |
| | * [[Neutral10]] – 10-tone chromatic scale |
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
|
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|
| =Huntington=
| | ; Music |
| Subgroup: 2.5.7.13
| | * [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: 640/637, 10985/10976
| |
| Sval name: 10&27
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|
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|
| POTE generator: ~16/13 = 357.002
| | == Slendric == |
| | {{Main| Slendric }} |
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
|
| |
|
| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| |
| Error: 2.1001 cents
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|
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|
| [[huntington7|Seven note haplotonic scale]] | | Scales: |
| [[huntington10|Ten note albitonic scale]] | | * [[Slendric5]] – 5-tone haplotonic scale |
| [[huntington17|Seventeen note chromatic scale]] | | * [[Slendric6]] – 6-tone haplotonic scale |
| | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
|
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| =Shoe= | | == Huntington == |
| Subgroup: 2.5.7.11.13
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| Commas: 176/175, 640/637, 847/845
| |
| Sval name: 16&21
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|
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|
| POTE generator: ~8/7 = 227.108
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
|
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|
| Map: [<1 1 3 1 2|, <0 7 -1 13 9|]
| | Scales: |
| EDOs: 16, 21, 37
| | * [[Huntington7]] – 7-tone haplotonic scale |
| Error: 2.488
| | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
|
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|
| [[shoe5]] - five note mini [[haplotonic scale]]
| | == Tobago == |
| [[shoe6]] - six note [[haplotonic scale]]
| | {{See also| Subgroup temperaments #Tobago }} |
| [[shoe11]] - eleven note note [[albitonic scale]]
| |
| [[shoe16]] - sixteen note [[chromatic scale]]
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|
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|
| =Roulette=
| | Scales: |
| Subgroup: 2.5.7.11.13
| | * [[Tobago6]] – 6-tone haplotonic scale |
| Commas: 176/175, 1375/1372, 640/637
| | * [[Tobago10]] – 10-tone albitonic scale |
| Sval name: 6&25
| | * [[Tobago14]] – 14-tone chromatic scale |
| Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]
| | * [[Tobago24]] – 24-tone quatertone scale |
|
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|
| POTE generator: ~28/25 = 194.594
| | == Pepperoni == |
| | {{See also| Parapyth }} |
| | {{See also| Subgroup temperaments #Pepperoni }} |
|
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|
| Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
| | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| 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]] | | * [[Pepperoni7]] – 7-tone albitonic scale |
| [[roulette13]] - thirteen note [[chromatic scale]]
| | * [[Pepperoni12]] – 12-tone chromatic scale |
| [[roulette19]] - nineteen note [[mega chromatic scale]] | |
|
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| =Garibaldi= | | == Wizz == |
| Group: 2.3.5.7
| | {{See also| No-threes subgroup temperaments #Wizz }} |
| Commas: 225/224, 3125/3087
| |
| Val name: 12&29
| |
|
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|
| POTE generator: ~3/2 = 702.085
| | Scales: |
| | * [[Wizz6]] – 6-tone haplotonic scale |
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
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|
| Map: [<1 0 15 25|, <0 1 -8 -14|]
| | == Bossier == |
| EDOs: 7, 12, 17, 29, 41, 53, 94
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| Error: 2.834
| |
|
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|
| [[garibaldi12|Twelve note albitonic scale]] | | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| [[garibaldi17|Seventeen note chromatic scale]]
| |
|
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|
| =Baldy=
| | Scales: |
| Subgroup: 2.9.5.7.13
| | * [[Bossier8]] – 8-tone albitonic scale |
| Commas: 225/224, 325/324, 640/637
| | * [[Bossier11]] – 11-tone chromatic scale |
| Sval name: 6&35
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
| Related temperament: [[Schismatic family|Garibaldi]]
| |
|
| |
|
| POTE generator: ~9/8 = 204.090
| | == Penta a.k.a. mechanism == |
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
|
| |
|
| Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|]
| | Scales: |
| EDOs: 6, 11, 17, 23, 29, 35, 41, [[47edo|47]], 100, [[147edo|147]]
| | * [[Penta5]] – 5-tone haplotonic scale |
| Error: 2.617 cents
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[baldy6]] - six note [[haplotonic scale]]
| | == Bluebirds == |
| [[baldy11]] - eleven note [[albitonic scale]]
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| [[baldy17]] - seventeen note [[chromatic scale]]
| |
|
| |
|
| =Bossier=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Bluebirds6]] – 6-tone haplotonic scale |
| Commas: 1573/1569, 15488/15379
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| Sval name: 3&17
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~14/11 = 421.309
| | == Marveltri == |
| | {{See also| Subgroup temperaments #Marveltri }} |
|
| |
|
| Map: [<1 0 1 3|, <0 8 7 2|]
| | Scales: |
| EDOs: 17, 20, 37, 57, 94, 225
| | * [[Marveltri7]] – 7-tone albitonic scale |
| Error: 2.665 cents
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
| |
|
| [[bossier8|Eight note albitonic scale]]
| | == Edson == |
| [[bossier11|Eleven note chromatic scale]]
| | {{See also| Subgroup temperaments #Edson }} |
| [[bossier14|Fourteen note mega chromatic scale]]
| |
|
| |
|
| =Radon=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Edson5]] – 5-tone haplotonic scale |
| Commas: 896/891, 1029/1024
| | * [[Edson7]] – 7-tone albitonic scale |
| Sval name: 5&36
| | * [[Edson12]] – 12-tone chromatic scale |
| Related temperament: [[Gamelismic clan|Rodan]]
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~8/7 = 234.381
| | == Photia == |
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
|
| |
|
| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| EDOs: 5, 36, 41, 87, 128
| |
| Error: 2.925 cents
| |
|
| |
|
| [[radon5|Five note haplotonic scale]] | | Scales: |
| [[radon11|Eleven note albitonic scale]] | | * [[Photia7]] – 7-tone albitonic scale |
| [[radon16|Sixteen note chromatic scale]]
| | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| =Myna= | | == Shoe a.k.a. llywelyn == |
| Group: 2.3.5.7
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| Commas: 126/125, 1728/1715
| |
| Val name: 4&27
| |
|
| |
|
| POTE generator: ~6/5 = 310.146
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
|
| |
|
| Map: [<1 9 9 8|, <0 -10 -9 -7|]
| | Scales: |
| EDOs: 4, 27, 31, 58, 89
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| Error: 3.310 cents
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| [[myna7|Seven note haplotonic scale]]
| | == Roulette == |
| [[myna11|Eleven note albitonic scale]]
| | {{See also | Hemimean clan #Roulette }} |
| [[myna15|Fifteen note chromatic scale]]
| |
|
| |
|
| =Silver=
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| Subgroup: 2.5.7.13.17
| |
| Commas: 170/169, 640/637, 5525/5488
| |
| Sval name: 10&27
| |
|
| |
|
| POTE generator: ~13/8 = 842.711
| | Scales: |
| | * [[Roulette6]] – 6-tone haplotonic scale |
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
| | == Silver == |
| EDOs: 7, 10, 17, 27, 37, [[47edo|47]], 84, 131, [[487edo|487]]
| | {{See also | No-threes subgroup temperaments #Silver }} |
| Error: 3.437
| |
|
| |
|
| [[silver7]] -seven note [[haplotonic scale]] | | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| [[silver10]] - ten note [[albitonic scale]]
| |
| [[silver17]] - seventeen note [[chromatic scale]]
| |
|
| |
|
| =Mabila=
| | Scales: |
| Subgroup: 2.5.7
| | * [[Silver7]] – 7-tone haplotonic scale |
| Comma: 1071875/1048576
| | * [[Silver10]] – 10-tone albitonic scale |
| Sval name: 7&9
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~175/128 = 527.236
| | == Baldy == |
| | {{See also| Subgroup temperaments #Baldy }} |
|
| |
|
| Map: [<1 1 5|, <0 3 -5|]
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
| EDOs: 7, 9, 16, 25, 41, 66
| |
| Error: 3.560
| |
|
| |
|
| [[mabila7|Seven note haplotonic scale]] | | Scales |
| [[mabila9|Nine note albitonic scale]] | | * [[Baldy6]] – 6-tone haplotonic scale |
| [[mabila16|Sixteen note chromatic scale]] | | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| =Meantone=
| |
| Group: 2.3.5.7
| |
| Commas: 81/80, 126/125
| |
| Val name: 12&19
| |
|
| |
|
| POTE generator: 696.495
| | == Guanyintet == |
| | {{See also | Subgroup temperaments #Guanyintet }} |
|
| |
|
| Map: [<1 0 -4 -13|, <0 1 4 10|]
| | Scales: |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Error: 3.585
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| [[meantone5|Five note haplotonic scale]]
| | == Radon == |
| [[meantone7|Seven note albitonic scale]]
| | {{See also| Gamelismic clan #Radon }} |
| [[meantone12|Twelve note chromatic scale]]
| |
|
| |
|
| =Indium=
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| Subgroup: 2.5/3.7/3.11/3
| |
| Commas: 3025/3024, 3125/3087
| |
| Sval name: 8&33
| |
|
| |
|
| POTE generator: ~12/11 = 147.159
| | * [[Radon5]] – 5-tone haplotonic scale |
| | * [[Radon11]] – 11-tone albitonic scale |
| | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | == Gariberttet == |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| | {{See also | Subgroup temperaments #Gariberttet }} |
| Error: 3.968 cents
| |
|
| |
|
| [[indium8|Eight note albitonic scale]] | | Scales: |
| [[indium17|Seventeen note chromatic scale]] | | * [[Gariberttet5]] – 5-tone haplotonic scale |
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| =Magic= | | == Namo == |
| Group: 2.3.5.7.11
| | {{See also| Rastmic clan #Namo }} |
| Commas: 100/99, 225/224, 245/243
| |
| Val name: 19&22
| |
|
| |
|
| POTE generator: ~5/4 = 380.696
| | Scales: |
| | * [[Namo7]] – 7-tone haplotonic scale |
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
| | == Sentry == |
| EDOs: 19, 22, 41, 104, 145
| | {{See also | Subgroup temperaments #Sentry }} |
| Error: 4.489
| |
|
| |
|
| [[magic7|Seven note haplotonic scale]] | | Scales: |
| [[magic10|Ten note albitonic scale]] | | * [[Sentry5]] – 5-tone haplotonic scale |
| [[magic13|Thirteen note chromatic scale]] | | * [[Sentry8]] – 8-tone albitonic scale |
| [[magic16|Sixteen note mega chromatic scale]]
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| =Hemif= | | == Hemif == |
| Subgroup: 2.3.7.11.13
| | {{See also| No-fives subgroup temperaments #Hemif }} |
| Commas: 144/143, 243/242, 364/363
| |
| Related temperament: [[Breedsmic temperaments|Hemififths]]
| |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 41, 58
| | * [[Hemif7]] – 7-tone haplotonic scale |
| Error: 4.867 cents
| | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| [[hemif7|Seven note haplotonic scale]]
| | == Garibaldi == |
| [[hemif10|Ten note albitonic scale]]
| | {{Main| Garibaldi temperament }} |
| [[hemif17|Seventeen note chromatic scale]]
| | {{See also| Schismatic family #Garibaldi }} |
|
| |
|
| =Skwares=
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| Subgroup: 2.3.7.11
| |
| Commas: 99/98, 243/242
| |
| Related temperament: [[Meantone family|squares]]
| |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | Scales: |
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | == Mabilic == |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| Error: 4.942 cents
| |
|
| |
|
| [[skwares8|Eight note albitonic scale]] | | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| [[skwares11|Eleven note mega albitonic scale]]
| |
| [[skwares14|Fourteen note chromatic scale]]
| |
|
| |
|
| =Sensi=
| | Scales: |
| Group: 2.3.5.7
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| Commas: 126/126, 245/243
| | * [[Mabilic9]] – 9-tone albitonic scale |
| Val name: 19&27
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: ~9/7 = 443.383
| | == Indium == |
| | {{See also | Subgroup temperaments #Indium }} |
|
| |
|
| Map: [<1 6 8 11|, <0 -7 -9 -13|]
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| EDOs: 5, 8, 11, 19, 27, 46
| |
| Error: 5.019
| |
|
| |
|
| [[sensi5|Five note haplotonic scale]] | | Scales: |
| [[sensi8|Eight note albitonic scale]]
| | * [[Indium8]] – 8-tone albitonic scale |
| [[sensi11|Eleven note mega albitonic scale]] | | * [[Indium17]] – 17-tone chromatic scale |
| [[sensi19|Nineteen note chromatic scale]]
| |
|
| |
|
| =Greeley=
| | ; Music |
| Subgroup: 2.5/3.7/3.11/3
| | * ''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: 121/120, 126/125
| |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | == Starlingtet == |
| | {{See also | Subgroup temperaments #Starlingtet }} |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | Scales: |
| EDOs: 8, 15, 23, 77, 100
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| Error: 5.404 cents
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| [[greeley8|Eight note albitonic scale]]
| | == Lovecraft == |
| [[greeley15|Fifteen note chromatic scale]]
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
|
| |
|
| =Semidim=
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| 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: |
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | == Blackbirds == |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| Error: 5.433 cents
| |
|
| |
|
| [[semidim8|Eight note albitonic scale]] | | Scales: |
| [[semidim13|Thirteen note chromatic scale]] | | * [[Blackbirds8]] – 8-tone albitonic scale |
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| =Orwell= | | == Laz == |
| Group: 2.3.5.7.11
| | {{See also | Subgroup temperaments #Laz }} |
| Commas: 99/98, 121/120, 176/175
| |
| Val name: 9&22
| |
|
| |
|
| POTE generator: ~7/6 = 271.426
| | Scales: |
| | * [[Laz5]] – 5-tone haplotonic scale |
| | * [[Laz9]] – 9-tone albitonic scale |
| | * [[Laz13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
| | == Myna == |
| EDOs: 9, 22, 31, 53, 84
| | {{Main| Myna }} |
| Error: 5.584
| | {{See also| Starling temperaments #Myna }} |
|
| |
|
| [[orwell5|Five note haplotonic scale]] | | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| [[orwell9|Nine note albitonic scale]]
| |
| [[orwell13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Bleu=
| | Scales: |
| Group: 2.3.7.11.13
| | * [[Myna7]] – 7-tone haplotonic scale |
| Commas: 78/77, 99/98, 144/143
| | * [[Myna11]] – 11-tone albitonic scale |
| Sval name: 9&17
| | * [[Myna15]] – 15-tone chromatic scale |
|
| |
|
| POTE generator: ~13/12 = 139.990
| | == Greeley == |
| | {{See also| Subgroup temperaments #Greeley }} |
|
| |
|
| Map: [<1 1 2 3 3|, <0 5 7 4 6|]
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| EDOs: [[9edo|9]], [[17edo|17]], [[43edo|43]], [[60edo|60]]
| |
| Error: 6.361
| |
|
| |
|
| [[bleu8]] - Eight note [[haplotonic scale]]
| | Scales: |
| [[bleu9]] - Nine note [[albitonic scale]] | | * [[Greeley8]] – 8-tone albitonic scale |
| [[bleu17]] - Seventeen note [[chromatic scale]] | | * [[Greeley15]] – 15-tone chromatic scale |
|
| |
|
| =Mohaha=
| | ; Music |
| Subgroup: 2.3.5.11
| | * ''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: 81/80, 121/120
| |
| Related temperament: [[Meantone family|mohajira]]
| |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | == Ammon == |
| | {{See also| Subgroup temperaments #Ammon }} |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| EDOs: 7, 10, 17, 24, 31, 131
| |
| Error: 6.733 cents
| |
|
| |
|
| [[mohaha7|Seven note albitonic scale]] | | Scales: |
| [[mohaha10|Ten note chromatic scale]] | | * [[Ammon8]] – 8-tone albitonic scale |
| | * [[Ammon13]] – 13-tone chromatic scale |
|
| |
|
| ==Mohoho== | | == Mothwelltri == |
| Subgroup: 2.3.5.11.13 | | {{See also| Subgroup temperaments #Mothwelltri }} |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | Scales: |
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | == Sulis == |
| EDOs: 7, 10, 17, 24, 31, 55
| | {{See also| Subgroup temperaments #Sulis }} |
| Error: 9.556 cents
| |
|
| |
|
| =Tutone=
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Sulis7]] – 7-tone haplotonic scale |
| Commas: 81/80, 99/98, 126/125
| | * [[Sulis10]] – 10-tone albitonic scale |
| Related temperament: [[Meantone family|meantone]]
| | * [[Sulis13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | == Skwares == |
| | {{Main| Squares }} |
| | {{See also| No-fives subgroup temperaments #Skwares }} |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| |
| Error: 7.047 cents
| |
|
| |
|
| [[tutone6|Six note haplotonic scale]] | | Scales: |
| [[tutone7|Seven note albitonic scale]] | | * [[Skwares8]] – 8-tone albitonic scale |
| [[tutone13|Thirteen note chromatic scale]] | | * [[Skwares11]] – 11-tone mega-albitonic scale |
| | * [[Skwares14]] – 14-tone chromatic scale |
|
| |
|
| =Leantone= | | == Orwell == |
| Subgroup: 2.9.5.7.11
| | {{Main| Orwell }} |
| Commas: 45/44, 56/55, 81/80
| | {{See also| Semicomma family #Orwell }} |
| Related temperament: [[Meantone family|flattone]]
| |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| | * [[Orwell5]] – 5-tone haplotonic scale |
| Error: 20.338 cents
| | * [[Orwell9]] – 9-tone albitonic scale |
| | * [[Orwell13]] – 13-tone chromatic scale |
|
| |
|
| [[leantone6|Six note haplotonic scale]]
| | == Magicaltet == |
| [[leantone7|Seven note albitonic scale]]
| | {{See also| Subgroup temperaments #Magicaltet }} |
| [[leantone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Score=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| Commas: 343/338, 847/832
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | == Magic == |
| | {{Main| Magic }} |
| | {{See also| Magic family #Magic }} |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| EDOs: 5, 7, 9, 11, 20
| |
| Error: 8.052 cents
| |
|
| |
|
| [[score5|Five note haplotonic scale]] | | Scales: |
| [[score7|Seven note albitonic scale]] | | * [[Magic7]] – 7-tone haplotonic scale |
| [[score9|Nine note mega albitonic scale]] | | * [[Magic10]] – 10-tone albitonic scale |
| [[score11|Eleven note chromatic scale]] | | * [[Magic13]] – 13-tone chromatic scale |
| | * [[Magic16]] – 16-tone mega-chromatic scale |
|
| |
|
| =Supra= | | == Kiribati == |
| Subgroup: 2.3.7.11 | | {{See also| Subgroup temperaments #Kiribati }} |
| Commas: 64/63, 99/98
| |
| Related temperament: [[suprapyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | Scales: |
| | * [[Kiribati13]] – 13-tone chromatic scale |
| | * [[Kiribati14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | == Score == |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| | {{See also|No-threes subgroup temperaments #Score }} |
| Error: 9.795 cents
| |
|
| |
|
| [[supra7|Seven note albitonic scale]] | | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| [[supra12|Twelve note chromatic scale]]
| |
|
| |
|
| ==Supraphon==
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Score5]] – 5-tone haplotonic scale |
| Commas: 64/63, 78/77, 99/98
| | * [[Score7]] – 7-tone albitonic scale |
| | * [[Score9]] – 9-tone mega-albitonic scale |
| | * [[Score11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | == Sensi == |
| | {{Main| Sensi }} |
| | {{See also| Sensipent family #Sensi }} |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| EDOs: 5, 7, 12, 17
| |
| Error: 10.534 cents
| |
|
| |
|
| ==Machine==
| | Scales: |
| Subgroup: 2.9.7.11
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Commas: 64/63, 99/98
| | * [[Sensi8]] – 8-tone albitonic scale |
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | === Sensation === |
| | {{Main| Sensi }} |
| | {{See also| Sensipent family #Sensi }} |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | Scales: |
| EDOs: 5, 6, 11, 17, 28
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Error: 10.100 cents
| | * [[Sensi8]] – 8-tone albitonic scale |
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| [[machine5|Five note haplotonic scale]]
| | == Meantone == |
| [[machine6|Six note albitonic scale]]
| | {{Main| Meantone }} |
| [[machine11|Eleven note chromatic scale]]
| | {{See also| Meantone family #Meantone }} |
|
| |
|
| =Deutone=
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| Subgroup: 2.9.5.7.13
| |
| Commas: 65/64, 81/80, 91/90
| |
| Related temperament: [[Meantone family|meanpop]]
| |
|
| |
|
| POTE generator: ~9/8 = 191.059
| | Scales: |
| | * [[Meantone5]] – 5-tone haplotonic scale |
| | * [[Meantone7]] – 7-tone albitonic scale |
| | * [[Meantone12]] – 12-tone chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]
| | == Mohaha == |
| EDOs: 6, 7, 13, 19, 25, 44, 69
| | {{See also| Rastmic clan #Mohaha }} |
| Error: 12.145 cents
| |
|
| |
|
| [[deutone6|Six note haplotonic scale]] | | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| [[deutone7|seven note albitonic scale]]
| |
| [[deutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Semiphore=
| | Scales: |
| Subgroup: 2.3.7
| | * [[Mohaha7]] – 7-tone albitonic scale |
| Comma: 49/48
| | * [[Mohaha10]] – 10-tone chromatic scale |
|
| |
|
| POTE generator: ~7/6 = 250.385
| | Music: |
| | ; [[Billy Stiltner]] |
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
|
| |
|
| Map: [<1 0 2|, <0 2 1|]
| | === Mohoho === |
| EDOs: 5, 9, 14, 19, 24
| | {{See also| Rastmic clan #Mohoho }} |
| Error: 12.428
| |
|
| |
|
| [[semiphore5|Five note haplotonic scale]]
| | == Joan == |
| [[semiphore9|Nine note albitonic scale]]
| | {{See also| Subgroup temperaments #Joan }} |
| [[semiphore14|Fourteen note chromatic scale]]
| |
|
| |
|
| =Augment=
| | Scales: |
| Subgroup: 2.5.7.11
| | * [[Joan5]] – 5-tone haplotonic scale |
| Commas: 56/55, 128/125
| | * [[Joan7]] – 7-tone albitonic scale |
| Related temperament: [[Augmented family|augmented]]
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| | * [[Joan11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~8/7 = 228.275
| | == Tutone == |
| | {{See also| Hemimean clan #Tutone }} |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| EDOs: 3, 6, 9, 15, 21
| |
| Error: 12.830 cents
| |
|
| |
|
| [[augment6|Six note haplotonic scale]] | | Scales: |
| [[augment9|Nine note albitonic scale]] | | * [[Tutone6]] – 6-tone haplotonic scale |
| [[augment12|Twelve note chromatic scale]]</pre></div> | | * [[Tutone7]] – 7-tone albitonic scale |
| <h4>Original HTML content:</h4>
| | * [[Tutone13]] – 13-tone chromatic 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:80:&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:80 --><!-- ws:start:WikiTextTocRule:81: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:106 --><!-- ws:start:WikiTextTocRule:107: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:107 --><!-- ws:start:WikiTextTocRule:108: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:108 --><!-- ws:start:WikiTextTocRule:109: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:109 --><!-- ws:start:WikiTextTocRule:110: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:110 --><!-- ws:start:WikiTextTocRule:111: --><!-- ws:end:WikiTextTocRule:111 --><!-- ws:start:WikiTextTocRule:112: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:112 --><!-- ws:start:WikiTextTocRule:113: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:113 --><!-- ws:start:WikiTextTocRule:114: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:114 --><!-- ws:start:WikiTextTocRule:115: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:115 --><!-- ws:start:WikiTextTocRule:116: --><!-- ws:end:WikiTextTocRule:116 --><!-- ws:start:WikiTextTocRule:117: --><!-- ws:end:WikiTextTocRule:117 --><!-- ws:start:WikiTextTocRule:118: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:118 --><!-- ws:start:WikiTextTocRule:119: --> | <a href="#Semiphore">Semiphore</a><!-- ws:end:WikiTextTocRule:119 --><!-- ws:start:WikiTextTocRule:120: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:120 --><!-- ws:start:WikiTextTocRule:121: -->
| | |
| <!-- ws:end:WikiTextTocRule:121 --><hr />
| | == Stacks == |
| <br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| <!-- 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 />
| | Scales: |
| <br />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:2 -->Terrain</h1>
| | * [[Stacks8]] – 8-tone albitonic scale |
| Subgroup: 2.9/5.9/7<br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| Commas: 250047/250000<br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| Sval name: 6&amp;21<br />
| | |
| Related temperament: <a class="wiki_link" href="/Minortonic%20family#Domain">domain</a><br />
| | == Bleu == |
| <br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| <a class="wiki_link" href="/POTE%20generator">POTE generator</a>: ~10/9 = 182.462<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | * [[Bleu8]] – 8-tone haplotonic scale |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| Error: 0.0443 cents<br />
| | * [[Bleu17]] – 17-tone chromatic scale |
| <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 />
| | == Sephiroth == |
| <br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:4 -->Bridgetown</h1>
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| Subgroup: 2.3.11/5.13/5<br />
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| Commas: 352/351, 676/675<br />
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| Sval name: 5&amp;24<br />
| | |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabados</a><br />
| | == Archy == |
| <br />
| | {{Main| Superpyth }} |
| POTE generator: ~15/13 = 248.285<br />
| | {{See also| Archytas clan #Archy }} |
| <br />
| | |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | Scales: |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | * [[Archy5]] – 5-tone haplotonic scale |
| Error: 0.8996 cents<br />
| | * [[Archy7]] – 7-tone albitonic scale |
| <br />
| | * [[Archy12]] – 12-tone chromatic scale |
| <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
| | === Supra === |
| <br />
| | {{Main| Superpyth }} |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:6 -->Cata</h1>
| | {{See also| Archytas clan #Supra }} |
| Subgroup: 2.3.5.13<br />
| | |
| Commas: 325/324, 625/624<br />
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| Sval name: 15&amp;19<br />
| | |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | Scales: |
| <br />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| POTE generator: ~6/5 = 317.076<br />
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| <br />
| | |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | === Supraphon === |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333<br />
| | {{Main| Superpyth }} |
| Error: 0.9355 cents<br />
| | {{See also| Archytas clan #Supraphon }} |
| <br />
| | |
| <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br />
| | == Suhajira == |
| <a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br />
| | {{See also| Archytas clan #Suhajira }} |
| <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 />
| | Scales: |
| <br />
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:8 -->Tridec</h1>
| | * [[Suhajira10]] – 10-tone albitonic scale |
| Subgroup: 2.7/5.11/5.13/5<br />
| | * [[Suhajira17]] – 17-tone chromatic scale |
| Commas: 847/845, 1001/1000<br />
| | |
| Sval name: 5&amp;8<br />
| | == Machine == |
| <br />
| | {{See also| Subgroup temperaments #Machine}} |
| POTE generator: ~13/10 = 454.461<br />
| | |
| <br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| 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 />
| | * [[Machine5]] – 5-tone haplotonic scale |
| <br />
| | * [[Machine6]] – 6-tone albitonic scale |
| <a class="wiki_link" href="/Tridec8">Eight note albitonic scale</a><br />
| | * [[Machine11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/Tridec13">Thirteen note chromatic scale</a><br />
| | |
| <br />
| | == Deutone == |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:10 -->Pepperoni</h1>
| | {{See also| Hemimean clan #Deutone }} |
| Subgroup: 2.3.11/7.13/7<br />
| | |
| Commas: 352/351, 364/363<br />
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| Sval name: 5&amp;12<br />
| | |
| 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 />
| | Scales: |
| <br />
| | * [[Deutone6]] – 6-tone haplotonic scale |
| POTE generator: ~3/2 = 704.052<br />
| | * [[Deutone7]] – 7-tone albitonic scale |
| <br />
| | * [[Deutone13]] – 13-tone chromatic scale |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | == Negra == |
| Error: 1.298 cents<br />
| | {{Main| Negri }} |
| <br />
| | {{See also| Marvel temperaments #Negri }} |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | == Porkypine == |
| <br />
| | {{Main| Porcupine }} |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:12 -->Slendric</h1>
| | {{See also| Porcupine family #Porcupine }} |
| Subgroup: 2.3.7<br />
| | |
| Comma: 1029/1024<br />
| | Scales: |
| Sval name: 5&amp;21<br />
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| <br />
| | * [[Porkypine8]] – 8-tone albitonic scale |
| POTE generator: ~8/7 = 233.688<br />
| | * [[Porkypine15]] – 15-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 1 3|, &lt;0 3 -1|]<br />
| | == Skateboard == |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190<br />
| | {{See also| Subgroup temperaments #Skateboard }} |
| Error: 11.363<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/slendric5">Five note haplotonic scale</a><br />
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="/slendric6">Six note haplotonic scale</a><br />
| | * [[Skateboard11]] – 11-tone albitonic scale |
| <a class="wiki_link" href="/slendric11">Eleven note albitonic scale</a><br />
| | * [[Skateboard15]] – 15-tone chromatic scale |
| <a class="wiki_link" href="/slendric16">Sixteen note chromatic scale</a><br />
| | |
| <br />
| | == Augment == |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:14 -->Nestoria</h1>
| | {{See also| No-threes subgroup temperaments #Augment }} |
| Subgroup: 2.3.5.19<br />
| | |
| Commas: 361/360, 513/512<br />
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| Sval name: 12&amp;29<br />
| | |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | Scales: |
| <br />
| | * [[Augment6]] – 6-tone haplotonic scale |
| POTE generator: ~3/2 = 701.746<br />
| | * [[Augment9]] – 9-tone albitonic scale |
| <br />
| | * [[Augment12]] – 12-tone chromatic scale |
| Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]<br />
| | |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| | == Semaphore == |
| Error: 1.819 cents<br />
| | {{Main| Semaphore and godzilla }} |
| <br />
| | {{See also| Semaphoresmic clan #Semaphore }} |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:16 -->Photia</h1>
| | Scales: |
| Subgroup: 2.3.5.17.19<br />
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| Commas: 171/170, 256/255, 324/323<br />
| | * [[Semaphore9]] – 9-tone albitonic scale |
| Sval name: 12&amp;41<br />
| | * [[Semaphore14]] – 14-tone chromatic scale |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | |
| <br />
| | == Kryptonite == |
| POTE generator: ~3/2 = 701.470<br />
| | {{See also| Subgroup temperaments #Kryptonite }} |
| <br />
| | |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| Error: 3.457 cents<br />
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| <br />
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
| <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br />
| | == Oregon == |
| <br />
| | {{See also| Orgonia #Oregon }} |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:18 -->Huntington</h1>
| | |
| Subgroup: 2.5.7.13<br />
| | Scales: |
| Commas: 640/637, 10985/10976<br />
| | * [[Oregon7]] – 7-tone haplotonic scale |
| Sval name: 10&amp;27<br />
| | * [[Oregon11]] – 11-tone albitonic scale |
| <br />
| | * [[Oregon15]] – 15-tone chromatic scale |
| POTE generator: ~16/13 = 357.002<br />
| | |
| <br />
| | == Antikythera == |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | {{See also| Jubilismic clan #Antikythera }} |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | |
| Error: 2.1001 cents<br />
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| <br />
| | |
| <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br />
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | * [[Antikythera10]] – 10-tone albitonic scale |
| <br />
| | * [[Antikythera16]] – 16-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:20 -->Shoe</h1>
| | |
| Subgroup: 2.5.7.11.13<br />
| | == Glacial == |
| Commas: 176/175, 640/637, 847/845<br />
| | {{See also| Subgroup temperaments #Glacial }} |
| Sval name: 16&amp;21<br />
| | |
| <br />
| | Scales: |
| POTE generator: ~8/7 = 227.108<br />
| | * [[Glacial6]] – 6-tone haplotonic scale |
| <br />
| | * [[Glacial7]] – 7-tone albitonic scale |
| Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]<br />
| | * [[Glacial13]] – 13-tone chromatic scale |
| EDOs: 16, 21, 37<br />
| | |
| Error: 2.488<br />
| | == Leantone == |
| <br />
| | {{See also| Hemimean clan #Leantone }} |
| <a class="wiki_link" href="/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="/haplotonic%20scale">haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/shoe6">shoe6</a> - six note <a class="wiki_link" href="/haplotonic%20scale">haplotonic scale</a><br />
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| <a class="wiki_link" href="/shoe11">shoe11</a> - eleven note note <a class="wiki_link" href="/albitonic%20scale">albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/shoe16">shoe16</a> - sixteen note <a class="wiki_link" href="/chromatic%20scale">chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Leantone6]] – 6-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:22 -->Roulette</h1>
| | * [[Leantone7]] – 7-tone albitonic scale |
| Subgroup: 2.5.7.11.13<br />
| | * [[Leantone13]] – 13-tone chromatic scale |
| Commas: 176/175, 1375/1372, 640/637<br />
| | |
| Sval name: 6&amp;25<br />
| | == Notes == |
| Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| | |
| <br />
| | [[Category:Lists of scales]] |
| POTE generator: ~28/25 = 194.594<br />
| | [[Category:Tempered scales| ]] |
| <br />
| | [[Category:Listen]] |
| Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]<br />
| | [[Category:Rank 2]] |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | |
| Error: 2.555 cents<br />
| | {{todo|cleanup}} |
| <br />
| |
| <a class="wiki_link" href="/roulette6">roulette6</a> - six note <a class="wiki_link" href="/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/roulette7">roulette7</a> - seven note <a class="wiki_link" href="/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="/roulette13">roulette13</a> - thirteen note <a class="wiki_link" href="/chromatic%20scale">chromatic scale</a><br />
| |
| <a class="wiki_link" href="/roulette19">roulette19</a> - nineteen note <a class="wiki_link" href="/mega%20chromatic%20scale">mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:24 -->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="/garibaldi12">Twelve note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/garibaldi17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:26 -->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="/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="/47edo">47</a>, 100, <a class="wiki_link" href="/147edo">147</a><br />
| |
| Error: 2.617 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/baldy6">baldy6</a> - six note <a class="wiki_link" href="/haplotonic%20scale">haplotonic scale</a><br />
| |
| <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 />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:28 -->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="/bossier8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/bossier11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="/bossier14">Fourteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:30 -->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="/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="/radon5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:32 -->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="/myna7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/myna11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/myna15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:34 -->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="/47edo">47</a>, 84, 131, <a class="wiki_link" href="/487edo">487</a><br />
| |
| 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:36:&lt;h1&gt; --><h1 id="toc18"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:36 -->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="/mabila7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/mabila9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/mabila16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:38 -->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:40:&lt;h1&gt; --><h1 id="toc20"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:40 -->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:42:&lt;h1&gt; --><h1 id="toc21"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:42 -->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:44:&lt;h1&gt; --><h1 id="toc22"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:44 -->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:46:&lt;h1&gt; --><h1 id="toc23"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:46 -->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:48:&lt;h1&gt; --><h1 id="toc24"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:48 -->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:50:&lt;h1&gt; --><h1 id="toc25"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:50 -->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:52:&lt;h1&gt; --><h1 id="toc26"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:52 -->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:54:&lt;h1&gt; --><h1 id="toc27"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:54 -->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:56:&lt;h1&gt; --><h1 id="toc28"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:56 -->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:58:&lt;h1&gt; --><h1 id="toc29"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:58 -->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:60:&lt;h2&gt; --><h2 id="toc30"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:60 -->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:62:&lt;h1&gt; --><h1 id="toc31"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:62 -->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:64:&lt;h1&gt; --><h1 id="toc32"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:64 -->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:66:&lt;h1&gt; --><h1 id="toc33"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:66 -->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:68:&lt;h1&gt; --><h1 id="toc34"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:68 -->Supra</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| Related temperament: <a class="wiki_link" href="/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="/supra7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:70:&lt;h2&gt; --><h2 id="toc35"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:70 -->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:72:&lt;h2&gt; --><h2 id="toc36"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:72 -->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="/machine5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/machine6">Six note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/machine11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:74:&lt;h1&gt; --><h1 id="toc37"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:74 -->Deutone</h1>
| |
| Subgroup: 2.9.5.7.13<br />
| |
| Commas: 65/64, 81/80, 91/90<br />
| |
| Related temperament: <a class="wiki_link" href="/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="/deutone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/deutone7">seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/deutone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:76:&lt;h1&gt; --><h1 id="toc38"><a name="Semiphore"></a><!-- ws:end:WikiTextHeadingRule:76 -->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="/semiphore5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/semiphore9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/semiphore14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:78:&lt;h1&gt; --><h1 id="toc39"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:78 -->Augment</h1>
| |
| Subgroup: 2.5.7.11<br />
| |
| Commas: 56/55, 128/125<br />
| |
| Related temperament: <a class="wiki_link" href="/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="/augment6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/augment9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/augment12">Twelve note chromatic scale</a></body></html></pre></div>
| |