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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>2011-03-18 19:39:22 UTC</tt>.<br>
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| : The original revision id was <tt>211907898</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">By a //chromatic pair// is meant a pair of 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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| [[toc|flat]] | | 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. |
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| =Terrain= | | == Terrain == |
| Subgroup: 2.9/5.9/7 | | {{See also| Subgroup temperaments #Terrain }} |
| Commas: 250047/250000
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| Related temperament: [[Minortonic family#Domain|domain]]
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| POTE generator: ~10/9 = 182.462
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| Map: [<3 0 -4|, <0 1 2|]
| | [[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]] |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
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| Error: 0.0443 cents
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| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
| | Scales: |
| | * [[Terrain9]] – 9-tone albitonic scale |
| | * [[Terrain15]] – 15-tone chromatic scale |
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| [[terrain9|Nine note albitonic scale]] | | ; Music |
| [[terrain15|Fifteen note chromatic scale]] | | * ''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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| =Bridgetown= | | == Petrtri == |
| Subgroup: 2.3.11/5.13/5 | | {{See also| Subgroup temperaments #Petrtri }} |
| Commas: 352/351, 676/675
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| Related temperament: [[The Archipelago|barabdos]]
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| POTE generator: ~15/13 = 248.285
| | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
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| Map: [<1 0 -6 -1|, <0 2 9 3|]
| | Scales: |
| EDOs: 5, 9, 14, 19, 24, 29
| | * [[Petrtri5]] – 5-tone haplotonic scale |
| Error: 0.8996 cents
| | * [[Petrtri8]] – 8-tone albitonic scale |
| | * [[Petrtri13]] – 13-tone chromatic scale |
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| [[bridgetown9|Nine note albitonic scale]] | | == Barton == |
| [[bridgetown14|Fourteen note chromatic scale]]
| | {{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}} |
| | {{See also| The Jacobins #Barton }} |
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| =Cata=
| | Scales: |
| Subgroup: 2.3.5.13
| | * [[Barton5]] – 5-tone haplotonic scale |
| Commas: 325/324, 625/624
| | * [[Barton7]] – 7-tone albitonic scale |
| Related temperament: [[Kleismic family|catakleismic]]
| | * [[Barton9]] – 9-tone mega-albitonic scale |
| | * [[Barton11]] – 11-tone chromatic scale |
| | * [[Barton13]] – 13-tone mega-chromatic scale |
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| POTE generator: ~6/5 = 317.076
| | == Tridec == |
| | {{See also| Subgroup temperaments #Tridec }} |
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| Map: [<1 0 1 0|, <0 6 5 14|]
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
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| Error: 0.9355 cents
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| [[cata7|Seven note albitonic scale]] | | Scales: |
| [[cata11|Eleven note mega albitonic scale]]
| | * [[Tridec8]] – 8-tone albitonic scale |
| [[cata15|Fifteen note chromatic scale]] | | * [[Tridec13]] – 13-tone chromatic scale |
| [[cata19|Nineteen note mega chromatic scale]]
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| =Pepperoni= | | == Nestoria == |
| Subgroup: 2.3.11/7.13/7
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
| Commas: 352/351, 364/363
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| Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]]
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| POTE generator: ~3/2 = 704.052
| | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
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| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | Scales: |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| | * [[Nestoria7]] – 7-tone albitonic scale |
| Error: 1.298 cents
| | * [[Nestoria12]] – 12-tone chromatic scale |
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
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| [[pepperoni7|Seven note albitonic scale]]
| | == Orgone == |
| [[pepperoni12|Twelve note chromatic scale]]
| | {{Main| Orgone }} |
| | {{See also| Orgonia #Orgone }} |
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| =Nestoria=
| | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
| Subgroup: 2.3.5.19
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| Commas: 361/360, 513/512
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| Related temperament: [[Schismatic family|schismatic]]
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| POTE generator: ~3/2 = 701.746
| | Scales: |
| | * [[Orgone7]] – 7-tone albitonic scale |
| | * [[Orgone11]] – 11-tone chromatic scale |
| | * [[Orgone15]] – 15-tone mega-chromatic scale |
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| Map: [<1 0 15 9], <0 1 -8 -3|]
| | == Marveltwintri == |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | {{See also| Subgroup temperaments #Marveltwintri }} |
| Error: 1.819 cents
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| [[nestoria7|Seven note albitonic scale]] | | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
| [[nestoria12|Twelve note chromatic scale]]
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| ==Photia==
| | Scales: |
| Subgroup 2.3.5.17.19
| | * [[Marveltwintri7]] – 7-tone albitonic scale |
| Commas: 171/170, 256/255, 324/323
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| Related temperament: [[Schismatic family|schismatic]]
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
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| POTE generator: ~3/2 = 701.470
| | == Cata == |
| | {{Main| Kleismic }} |
| | {{See also| Kleismic family #Cata }} |
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|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
| EDOs: 7, 12, 17, 29, 41, 53, 65
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| Error: 3.457 cents
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| [[photia7|Seven note albitonic scale]] | | Scales: |
| [[photia12|Twelve note chromatic scale]] | | * [[Cata7]] – 7-tone albitonic scale |
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
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| =Huntington= | | == Bridgetown == |
| Subgroup: 2.5.7.13 | | {{See also| Subgroup temperaments #Bridgetown }} |
| Commas: 640/637, 10985/10976
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| POTE generator: ~16/13 = 357.002
| | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
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| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| | * [[Bridgetown9]] – 9-tone albitonic scale |
| Error: 2.1001 cents
| | * [[Bridgetown14]] – 14-tone chromatic scale |
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| [[huntington7|Seven note haplotonic scale]] | | ; Music |
| [[huntington10|Ten note albitonic scale]] | | * [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]] |
| [[huntington17|Seventeen note chromatic scale]] | | * ''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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| =Roulette= | | == Haumea == |
| Subgroup: 2.5.7.11.13 | | {{See also| Subgroup temperaments #Haumea }} |
| Commas: 176/175, 1375/1372, 640/637
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| Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]
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|
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|
| POTE generator: ~28/25 = 194.594
| | Scales: |
| | * [[Haumea5]] – 5-tone haplotonic scale |
| | * [[Haumea9]] – 9-tone albitonic scale |
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
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|
| Map: [<1 0 -3 -7 -13|, <0 2 5 9 -8|]
| | == Neutral == |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| | {{See also| Rastmic clan #Neutral }} |
| Error: 2.555 cents
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| [[roulette6|Six note haplotonic scale]] | | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| [[roulette7|Seven note albitonic scale]]
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| [[roulette13|Thirteen note chromatic scale]]
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| [[roulette19|Nineteen note mega chromatic scale]]
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| =Baldy=
| | Scales: |
| Subgroup: 2.9.5.7.13
| | * [[Neutral7]] – 7-tone albitonic scale |
| Commas: 225/224, 325/325, 640/637
| | * [[Neutral10]] – 10-tone chromatic scale |
| Related temperament: [[Schismatic family|Garibaldi]]
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
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| POTE generator: ~9/8 = 204.090
| | ; Music |
| | * [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning |
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| Map: [<1 0 15 25 -8|, <0 1 -4 -7 10|]
| | == Slendric == |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
| | {{Main| Slendric }} |
| Error: 2.617 cents
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
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| [[baldy6|Six note haplotonic scale]] | | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| [[baldy11|Eleven note albitonic scale]]
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| [[baldy17|Seventeen note chromatic scale]]
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| =Bossier=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Slendric5]] – 5-tone haplotonic scale |
| Commas: 1573/1569, 15488/15379
| | * [[Slendric6]] – 6-tone haplotonic scale |
| | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
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| POTE generator: ~14/11 = 421.309
| | == Huntington == |
| | {{See also| No-threes subgroup temperaments #Huntington }} |
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| Map: [<1 0 1 3|, <0 8 7 2|]
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
| EDOs: 17, 20, 37, 57, 94, 225
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| Error: 2.665 cents
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| [[bossier8|Eight note albitonic scale]] | | Scales: |
| [[bossier11|Eleven note chromatic scale]] | | * [[Huntington7]] – 7-tone haplotonic scale |
| [[bossier14|Fourteen note mega chromatic scale]] | | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
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| =Radon= | | == Tobago == |
| Subgroup: 2.3.7.11 | | {{See also| Subgroup temperaments #Tobago }} |
| Commas: 896/891, 1029/1024
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| Related temperament: [[Gamelismic clan|Rodan]]
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| POTE generator: ~8/7 = 234.381
| | Scales: |
| | * [[Tobago6]] – 6-tone haplotonic scale |
| | * [[Tobago10]] – 10-tone albitonic scale |
| | * [[Tobago14]] – 14-tone chromatic scale |
| | * [[Tobago24]] – 24-tone quatertone scale |
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| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | == Pepperoni == |
| EDOs: 5, 36, 41, 87, 128
| | {{See also| Parapyth }} |
| Error: 2.925 cents
| | {{See also| Subgroup temperaments #Pepperoni }} |
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| [[radon5|Five note haplotonic scale]] | | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| [[radon11|Eleven note albitonic scale]]
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| [[radon16|Sixteen note chromatic scale]]
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| ==Indium==
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3
| | * [[Pepperoni7]] – 7-tone albitonic scale |
| Commas: 3025/3024, 3125/3087
| | * [[Pepperoni12]] – 12-tone chromatic scale |
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| POTE generator: ~12/11 = 147.159
| | == Wizz == |
| | {{See also| No-threes subgroup temperaments #Wizz }} |
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|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | Scales: |
| EDOs: 33, 41, 49, 57, 106
| | * [[Wizz6]] – 6-tone haplotonic scale |
| Error: 3.968 cents
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
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| [[indium8|Eight note albitonic scale]]
| | == Bossier == |
| [[indium17|Seventeen note chromatic scale]]
| | {{See also| No-threes subgroup temperaments #Bossier }} |
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| =Hemif=
| | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| Subgroup: 2.3.7.11.13
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| Commas: 144/143, 243/242, 364/363
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| Related temperament: [[Breedsmic temperaments|Hemififths]]
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| POTE generator: ~11/9 = 351.691
| | Scales: |
| | * [[Bossier8]] – 8-tone albitonic scale |
| | * [[Bossier11]] – 11-tone chromatic scale |
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
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| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | == Penta a.k.a. mechanism == |
| EDOs: 7, 10, 17, 24, 41, 58
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
| Error: 4.867 cents
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| [[hemif7|Seven note haplotonic scale]] | | Scales: |
| [[hemif10|Ten note albitonic scale]] | | * [[Penta5]] – 5-tone haplotonic scale |
| [[hemif17|Seventeen note chromatic scale]] | | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
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| =Skwares= | | == Bluebirds == |
| Subgroup: 2.3.7.11
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| Commas: 99/98, 243/242
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| Related temperament: [[Meantone family|squares]]
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| POTE generator: ~9/7 = 425.244
| | Scales: |
| | * [[Bluebirds6]] – 6-tone haplotonic scale |
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| | * [[Bluebirds13]] – 13-tone chromatic scale |
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| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | == Marveltri == |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | {{See also| Subgroup temperaments #Marveltri }} |
| Error: 4.942 cents
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| [[skwares8|Eight note albitonic scale]] | | Scales: |
| [[skwares11|Eleven note mega albitonic scale]] | | * [[Marveltri7]] – 7-tone albitonic scale |
| [[skwares14|Fourteen note chromatic scale]] | | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
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| =Greeley= | | == Edson == |
| Subgroup: 2.5/3.7/3.11/3 | | {{See also| Subgroup temperaments #Edson }} |
| Commas: 121/120, 126/125
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|
| |
|
| POTE generator: ~11/10 = 156.055
| | Scales: |
| | * [[Edson5]] – 5-tone haplotonic scale |
| | * [[Edson7]] – 7-tone albitonic scale |
| | * [[Edson12]] – 12-tone chromatic scale |
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
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| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | == Photia == |
| EDOs: 8, 15, 23, 77, 100
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
| Error: 5.404 cents
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| [[greeley8|Eight note albitonic scale]] | | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| [[greeley15|Fifteen note chromatic scale]]
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| =Mohaha=
| | Scales: |
| Subgroup: 2.3.5.11
| | * [[Photia7]] – 7-tone albitonic scale |
| Commas: 81/80, 121/120
| | * [[Photia12]] – 12-tone chromatic scale |
| Related temperament: [[Meantone family|mohajira]]
| |
|
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|
| POTE generator: ~11/9 = 348.094
| | == Shoe a.k.a. llywelyn == |
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
|
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|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
| EDOs: 7, 10, 17, 24, 31, 131
| |
| Error: 6.733 cents
| |
|
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| [[mohaha7|Seven note albitonic scale]] | | Scales: |
| [[mohaha10|Ten note chromatic scale]] | | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
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| ==Mohoho== | | == Roulette == |
| Subgroup: 2.3.5.11.13
| | {{See also | Hemimean clan #Roulette }} |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
|
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|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 31, 55
| | * [[Roulette6]] – 6-tone haplotonic scale |
| Error: 9.556 cents
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
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| =Tutone= | | == Silver == |
| Subgroup: 2.9.5.7.11
| | {{See also | No-threes subgroup temperaments #Silver }} |
| Commas: 81/80, 99/98, 126/125
| |
| Related temperament: [[Meantone family|meantone]]
| |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| | * [[Silver7]] – 7-tone haplotonic scale |
| Error: 7.047 cents
| | * [[Silver10]] – 10-tone albitonic scale |
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| [[tutone6|Six note haplotonic scale]]
| | == Baldy == |
| [[tutone7|Seven note albitonic scale]]
| | {{See also| Subgroup temperaments #Baldy }} |
| [[tutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| ==Leantone==
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
| Subgroup: 2.9.5.7.11
| |
| Commas: 45/44, 56/55, 81/80
| |
| Related temperament: [[Meantone family|flattone]]
| |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | Scales |
| | * [[Baldy6]] – 6-tone haplotonic scale |
| | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| |
| Error: 20.338 cents
| |
|
| |
|
| [[leantone6|Six note haplotonic scale]]
| | == Guanyintet == |
| [[leantone7|Seven note albitonic scale]]
| | {{See also | Subgroup temperaments #Guanyintet }} |
| [[leantone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Score=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Commas: 343/338, 847/832
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | == Radon == |
| | {{See also| Gamelismic clan #Radon }} |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| EDOs: 5, 7, 9, 11, 20
| |
| Error: 8.052 cents
| |
|
| |
|
| [[score5|Five note haplotonic scale]] | | * [[Radon5]] – 5-tone haplotonic scale |
| [[score7|Seven note albitonic scale]] | | * [[Radon11]] – 11-tone albitonic scale |
| [[score9|Nine note mega albitonic scale]] | | * [[Radon16]] – 16-tone chromatic scale |
| [[score11|Eleven note chromatic scale]]
| |
|
| |
|
| =Supra= | | == Gariberttet == |
| Subgroup: 2.3.7.11 | | {{See also | Subgroup temperaments #Gariberttet }} |
| Commas: 64/63, 99/98
| |
| Related temperament: [[Archytas clan|superpyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | Scales: |
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | == Namo == |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| | {{See also| Rastmic clan #Namo }} |
| Error: 9.795 cents
| |
|
| |
|
| [[supra7|Seven note albitonic scale]] | | Scales: |
| [[supra12|Twelve note chromatic scale]] | | * [[Namo7]] – 7-tone haplotonic scale |
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| ==Supraphon== | | == Sentry == |
| Subgroup: 2.3.7.11.13 | | {{See also | Subgroup temperaments #Sentry }} |
| Commas: 64/63, 78/77, 99/98
| |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | Scales: |
| | * [[Sentry5]] – 5-tone haplotonic scale |
| | * [[Sentry8]] – 8-tone albitonic scale |
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | == Hemif == |
| EDOs: 5, 7, 12, 17
| | {{See also| No-fives subgroup temperaments #Hemif }} |
| Error: 10.534 cents
| |
|
| |
|
| ==Machine==
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
| Subgroup: 2.9.7.11
| |
| Commas: 64/63, 99/98
| |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | Scales: |
| | * [[Hemif7]] – 7-tone haplotonic scale |
| | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | == Garibaldi == |
| EDOs: 5, 6, 11, 17, 28
| | {{Main| Garibaldi temperament }} |
| Error: 10.100 cents
| | {{See also| Schismatic family #Garibaldi }} |
|
| |
|
| [[machine5|Five note haplotonic scale]] | | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| [[machine6|Six note albitonic scale]]
| |
| [[machine11|Eleven note chromatic scale]]
| |
|
| |
|
| =Augment=
| | Scales: |
| Subgroup: 2.5.7.11
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| Commas: 56/55, 128/125
| | * [[Garibaldi17]] – 17-tone chromatic scale |
| Related temperament: [[Augmented family|augmented]]
| |
|
| |
|
| POTE generator: ~8/7
| | == Mabilic == |
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| EDOs: 3, 6, 9, 15, 21
| |
| Error: 12.830 cents
| |
|
| |
|
| [[augment6|Six note haplotonic scale]] | | Scales: |
| [[augment9|Nine note albitonic scale]] | | * [[Mabilic7]] – 7-tone haplotonic scale |
| [[augment12|Twelve note chromatic scale]] | | * [[Mabilic9]] – 9-tone albitonic scale |
| </pre></div>
| | * [[Mabilic16]] – 16-tone chromatic scale |
| <h4>Original HTML content:</h4>
| | |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chromatic pairs</title></head><body>By a <em>chromatic pair</em> is meant a pair of MOS 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 />
| | == Indium == |
| <br />
| | {{See also | Subgroup temperaments #Indium }} |
| <!-- ws:start:WikiTextTocRule:48:&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:48 --><!-- ws:start:WikiTextTocRule:49: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: -->
| | |
| <!-- ws:end:WikiTextTocRule:73 --><br />
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1>
| | |
| Subgroup: 2.9/5.9/7<br />
| | Scales: |
| Commas: 250047/250000<br />
| | * [[Indium8]] – 8-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Minortonic%20family#Domain">domain</a><br />
| | * [[Indium17]] – 17-tone chromatic scale |
| POTE generator: ~10/9 = 182.462<br />
| | |
| <br />
| | ; Music |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | * ''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] |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | |
| Error: 0.0443 cents<br />
| | == Starlingtet == |
| <br />
| | {{See also | Subgroup temperaments #Starlingtet }} |
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| <br />
| | * [[Starlingtet11]] – 11-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:2 -->Bridgetown</h1>
| | |
| Subgroup: 2.3.11/5.13/5<br />
| | == Lovecraft == |
| Commas: 352/351, 676/675<br />
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabdos</a><br />
| | |
| <br />
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| POTE generator: ~15/13 = 248.285<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| Error: 0.8996 cents<br />
| | * [[Lovecraft13]] – 13-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
| | == Blackbirds == |
| <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:4 -->Cata</h1>
| | Scales: |
| Subgroup: 2.3.5.13<br />
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| Commas: 325/324, 625/624<br />
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
| <br />
| | |
| POTE generator: ~6/5 = 317.076<br />
| | == Laz == |
| <br />
| | {{See also | Subgroup temperaments #Laz }} |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br />
| | Scales: |
| Error: 0.9355 cents<br />
| | * [[Laz5]] – 5-tone haplotonic scale |
| <br />
| | * [[Laz9]] – 9-tone albitonic scale |
| <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br />
| | * [[Laz13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/cata15">Fifteen note chromatic scale</a><br />
| | == Myna == |
| <a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br />
| | {{Main| Myna }} |
| <br />
| | {{See also| Starling temperaments #Myna }} |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:6 -->Pepperoni</h1>
| | |
| Subgroup: 2.3.11/7.13/7<br />
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| Commas: 352/351, 364/363<br />
| | |
| Related temperament: <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>'s <a class="wiki_link" href="/Pepper%20temperament">pepper temperament</a><br />
| | Scales: |
| <br />
| | * [[Myna7]] – 7-tone haplotonic scale |
| POTE generator: ~3/2 = 704.052<br />
| | * [[Myna11]] – 11-tone albitonic scale |
| <br />
| | * [[Myna15]] – 15-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 />
| | == Greeley == |
| Error: 1.298 cents<br />
| | {{See also| Subgroup temperaments #Greeley }} |
| <br />
| | |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:8 -->Nestoria</h1>
| | * [[Greeley8]] – 8-tone albitonic scale |
| Subgroup: 2.3.5.19<br />
| | * [[Greeley15]] – 15-tone chromatic scale |
| Commas: 361/360, 513/512<br />
| | |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | ; Music |
| <br />
| | * ''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] |
| POTE generator: ~3/2 = 701.746<br />
| | |
| <br />
| | == Ammon == |
| Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br />
| | {{See also| Subgroup temperaments #Ammon }} |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| | |
| Error: 1.819 cents<br />
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| <br />
| | |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | * [[Ammon8]] – 8-tone albitonic scale |
| <br />
| | * [[Ammon13]] – 13-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Nestoria-Photia"></a><!-- ws:end:WikiTextHeadingRule:10 -->Photia</h2>
| | |
| Subgroup 2.3.5.17.19<br />
| | == Mothwelltri == |
| Commas: 171/170, 256/255, 324/323<br />
| | {{See also| Subgroup temperaments #Mothwelltri }} |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~3/2 = 701.470<br />
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| <br />
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | |
| Error: 3.457 cents<br />
| | == Sulis == |
| <br />
| | {{See also| Subgroup temperaments #Sulis }} |
| <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 />
| | * [[Sulis7]] – 7-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:12 -->Huntington</h1>
| | * [[Sulis10]] – 10-tone albitonic scale |
| Subgroup: 2.5.7.13<br />
| | * [[Sulis13]] – 13-tone chromatic scale |
| Commas: 640/637, 10985/10976<br />
| | |
| <br />
| | == Skwares == |
| POTE generator: ~16/13 = 357.002<br />
| | {{Main| Squares }} |
| <br />
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| Error: 2.1001 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br />
| | * [[Skwares8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br />
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | * [[Skwares14]] – 14-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:14 -->Roulette</h1>
| | == Orwell == |
| Subgroup: 2.5.7.11.13<br />
| | {{Main| Orwell }} |
| Commas: 176/175, 1375/1372, 640/637<br />
| | {{See also| Semicomma family #Orwell }} |
| Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| | |
| <br />
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| POTE generator: ~28/25 = 194.594<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br />
| | * [[Orwell5]] – 5-tone haplotonic scale |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | * [[Orwell9]] – 9-tone albitonic scale |
| Error: 2.555 cents<br />
| | * [[Orwell13]] – 13-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br />
| | == Magicaltet == |
| <a class="wiki_link" href="/roulette7">Seven note albitonic scale</a><br />
| | {{See also| Subgroup temperaments #Magicaltet }} |
| <a class="wiki_link" href="/roulette13">Thirteen note chromatic scale</a><br />
| | |
| <a class="wiki_link" href="/roulette19">Nineteen note mega chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:16 -->Baldy</h1>
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| Subgroup: 2.9.5.7.13<br />
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
| Commas: 225/224, 325/325, 640/637<br />
| | |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
| | == Magic == |
| <br />
| | {{Main| Magic }} |
| POTE generator: ~9/8 = 204.090<br />
| | {{See also| Magic family #Magic }} |
| <br />
| | |
| Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]<br />
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br />
| | |
| Error: 2.617 cents<br />
| | Scales: |
| <br />
| | * [[Magic7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br />
| | * [[Magic10]] – 10-tone albitonic scale |
| <a class="wiki_link" href="/baldy11">Eleven note albitonic scale</a><br />
| | * [[Magic13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br />
| | * [[Magic16]] – 16-tone mega-chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:18 -->Bossier</h1>
| | == Kiribati == |
| Subgroup: 2.7.11.13<br />
| | {{See also| Subgroup temperaments #Kiribati }} |
| Commas: 1573/1569, 15488/15379<br />
| | |
| <br />
| | Scales: |
| POTE generator: ~14/11 = 421.309<br />
| | * [[Kiribati13]] – 13-tone chromatic scale |
| <br />
| | * [[Kiribati14]] – 14-tone chromatic scale |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| | |
| EDOs: 17, 20, 37, 57, 94, 225<br />
| | == Score == |
| Error: 2.665 cents<br />
| | {{See also|No-threes subgroup temperaments #Score }} |
| <br />
| | |
| <a class="wiki_link" href="/bossier8">Eight note albitonic scale</a><br />
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| <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 />
| | Scales: |
| <br />
| | * [[Score5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:20 -->Radon</h1>
| | * [[Score7]] – 7-tone albitonic scale |
| Subgroup: 2.3.7.11<br />
| | * [[Score9]] – 9-tone mega-albitonic scale |
| Commas: 896/891, 1029/1024<br />
| | * [[Score11]] – 11-tone chromatic scale |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><br />
| | |
| <br />
| | == Sensi == |
| POTE generator: ~8/7 = 234.381<br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| | |
| EDOs: 5, 36, 41, 87, 128<br />
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| Error: 2.925 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Radon-Indium"></a><!-- ws:end:WikiTextHeadingRule:22 -->Indium</h2>
| | |
| Subgroup: 2.5/3.7/3.11/3<br />
| | === Sensation === |
| Commas: 3025/3024, 3125/3087<br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| POTE generator: ~12/11 = 147.159<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| EDOs: 33, 41, 49, 57, 106<br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| Error: 3.968 cents<br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| <a class="wiki_link" href="/indium8">Eight note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/indium17">Seventeen note chromatic scale</a><br />
| | == Meantone == |
| <br />
| | {{Main| Meantone }} |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:24 -->Hemif</h1>
| | {{See also| Meantone family #Meantone }} |
| Subgroup: 2.3.7.11.13<br />
| | |
| Commas: 144/143, 243/242, 364/363<br />
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~11/9 = 351.691<br />
| | * [[Meantone5]] – 5-tone haplotonic scale |
| <br />
| | * [[Meantone7]] – 7-tone albitonic scale |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| | * [[Meantone12]] – 12-tone chromatic scale |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| | |
| Error: 4.867 cents<br />
| | == Mohaha == |
| <br />
| | {{See also| Rastmic clan #Mohaha }} |
| <a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/hemif10">Ten note albitonic scale</a><br />
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| <a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:26 -->Skwares</h1>
| | * [[Mohaha7]] – 7-tone albitonic scale |
| Subgroup: 2.3.7.11<br />
| | * [[Mohaha10]] – 10-tone chromatic scale |
| Commas: 99/98, 243/242<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">squares</a><br />
| | Music: |
| <br />
| | ; [[Billy Stiltner]] |
| POTE generator: ~9/7 = 425.244<br />
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| <br />
| | |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| | === Mohoho === |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| | {{See also| Rastmic clan #Mohoho }} |
| Error: 4.942 cents<br />
| | |
| <br />
| | == Joan == |
| <a class="wiki_link" href="/skwares8">Eight note albitonic scale</a><br />
| | {{See also| Subgroup temperaments #Joan }} |
| <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 />
| | Scales: |
| <br />
| | * [[Joan5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:28 -->Greeley</h1>
| | * [[Joan7]] – 7-tone albitonic scale |
| Subgroup: 2.5/3.7/3.11/3<br />
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| Commas: 121/120, 126/125<br />
| | * [[Joan11]] – 11-tone chromatic scale |
| <br />
| | |
| POTE generator: ~11/10 = 156.055<br />
| | == Tutone == |
| <br />
| | {{See also| Hemimean clan #Tutone }} |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| | |
| EDOs: 8, 15, 23, 77, 100<br />
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| Error: 5.404 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br />
| | * [[Tutone6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br />
| | * [[Tutone7]] – 7-tone albitonic scale |
| <br />
| | * [[Tutone13]] – 13-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:30 -->Mohaha</h1>
| | |
| Subgroup: 2.3.5.11<br />
| | == Stacks == |
| Commas: 81/80, 121/120<br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">mohajira</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~11/9 = 348.094<br />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| <br />
| | * [[Stacks8]] – 8-tone albitonic scale |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| EDOs: 7, 10, 17, 24, 31, 131<br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| Error: 6.733 cents<br />
| | |
| <br />
| | == Bleu == |
| <a class="wiki_link" href="/mohaha7">Seven note albitonic scale</a><br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| <a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:32 -->Mohoho</h2>
| | * [[Bleu8]] – 8-tone haplotonic scale |
| Subgroup: 2.3.5.11.13<br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| Commas: 66/65, 81/80, 121/120<br />
| | * [[Bleu17]] – 17-tone chromatic scale |
| <br />
| | |
| POTE generator: ~11/9 = 348.916<br />
| | == Sephiroth == |
| <br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
| | |
| EDOs: 7, 10, 17, 24, 31, 55<br />
| | Scales: |
| Error: 9.556 cents<br />
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| <br />
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:34 -->Tutone</h1>
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| Subgroup: 2.9.5.7.11<br />
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| Commas: 81/80, 99/98, 126/125<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">meantone</a><br />
| | == Archy == |
| <br />
| | {{Main| Superpyth }} |
| POTE generator: ~9/8 = 193.937<br />
| | {{See also| Archytas clan #Archy }} |
| <br />
| | |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 99<br />
| | * [[Archy5]] – 5-tone haplotonic scale |
| Error: 7.047 cents<br />
| | * [[Archy7]] – 7-tone albitonic scale |
| <br />
| | * [[Archy12]] – 12-tone chromatic scale |
| <a class="wiki_link" href="/tutone6">Six note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/tutone7">Seven note albitonic scale</a><br />
| | === Supra === |
| <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br />
| | {{Main| Superpyth }} |
| <br />
| | {{See also| Archytas clan #Supra }} |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Tutone-Leantone"></a><!-- ws:end:WikiTextHeadingRule:36 -->Leantone</h2>
| | |
| Subgroup: 2.9.5.7.11<br />
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| Commas: 45/44, 56/55, 81/80<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">flattone</a><br />
| | Scales: |
| <br />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| POTE generator: ~9/8 = 192.500<br />
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| <br />
| | |
| Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
| | === Supraphon === |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
| | {{Main| Superpyth }} |
| Error: 20.338 cents<br />
| | {{See also| Archytas clan #Supraphon }} |
| <br />
| | |
| <a class="wiki_link" href="/leantone6">Six note haplotonic scale</a><br />
| | == Suhajira == |
| <a class="wiki_link" href="/leantone7">Seven note albitonic scale</a><br />
| | {{See also| Archytas clan #Suhajira }} |
| <a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:38 -->Score</h1>
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| Subgroup: 2.7.11.13<br />
| | * [[Suhajira10]] – 10-tone albitonic scale |
| Commas: 343/338, 847/832<br />
| | * [[Suhajira17]] – 17-tone chromatic scale |
| <br />
| | |
| POTE generator: ~11/8 = 540.099<br />
| | == Machine == |
| <br />
| | {{See also| Subgroup temperaments #Machine}} |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| | |
| EDOs: 5, 7, 9, 11, 20<br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| Error: 8.052 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/score5">Five note haplotonic scale</a><br />
| | * [[Machine5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/score7">Seven note albitonic scale</a><br />
| | * [[Machine6]] – 6-tone albitonic scale |
| <a class="wiki_link" href="/score9">Nine note mega albitonic scale</a><br />
| | * [[Machine11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/score11">Eleven note chromatic scale</a><br />
| | |
| <br />
| | == Deutone == |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:40 -->Supra</h1>
| | {{See also| Hemimean clan #Deutone }} |
| Subgroup: 2.3.7.11<br />
| | |
| Commas: 64/63, 99/98<br />
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| Related temperament: <a class="wiki_link" href="/Archytas%20clan">superpyth</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~3/2 = 707.192<br />
| | * [[Deutone6]] – 6-tone haplotonic scale |
| <br />
| | * [[Deutone7]] – 7-tone albitonic scale |
| Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
| | * [[Deutone13]] – 13-tone chromatic scale |
| EDOs: 5, 7, 12, 17, 22, 39, 56<br />
| | |
| Error: 9.795 cents<br />
| | == Negra == |
| <br />
| | {{Main| Negri }} |
| <a class="wiki_link" href="/supra7">Seven note albitonic scale</a><br />
| | {{See also| Marvel temperaments #Negri }} |
| <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br />
| | |
| <br />
| | == Porkypine == |
| <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:42 -->Supraphon</h2>
| | {{Main| Porcupine }} |
| Subgroup: 2.3.7.11.13<br />
| | {{See also| Porcupine family #Porcupine }} |
| Commas: 64/63, 78/77, 99/98<br />
| | |
| <br />
| | Scales: |
| POTE generator: ~3/2 = 706.137<br />
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| <br />
| | * [[Porkypine8]] – 8-tone albitonic scale |
| Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br />
| | * [[Porkypine15]] – 15-tone chromatic scale |
| EDOs: 5, 7, 12, 17<br />
| | |
| Error: 10.534 cents<br />
| | == Skateboard == |
| <br />
| | {{See also| Subgroup temperaments #Skateboard }} |
| <!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:44 -->Machine</h2>
| | |
| Subgroup: 2.9.7.11<br />
| | Scales: |
| Commas: 64/63, 99/98<br />
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| <br />
| | * [[Skateboard11]] – 11-tone albitonic scale |
| POTE generator: ~9/8 = 214.384<br />
| | * [[Skateboard15]] – 15-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
| | == Augment == |
| EDOs: 5, 6, 11, 17, 28<br />
| | {{See also| No-threes subgroup temperaments #Augment }} |
| Error: 10.100 cents<br />
| | |
| <br />
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| <a class="wiki_link" href="/machine5">Five note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/machine6">Six note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/machine11">Eleven note chromatic scale</a><br />
| | * [[Augment6]] – 6-tone haplotonic scale |
| <br />
| | * [[Augment9]] – 9-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id="toc23"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:46 -->Augment</h1>
| | * [[Augment12]] – 12-tone chromatic scale |
| Subgroup: 2.5.7.11<br />
| | |
| Commas: 56/55, 128/125<br />
| | == Semaphore == |
| Related temperament: <a class="wiki_link" href="/Augmented%20family">augmented</a><br />
| | {{Main| Semaphore and godzilla }} |
| <br />
| | {{See also| Semaphoresmic clan #Semaphore }} |
| POTE generator: ~8/7<br />
| | |
| <br />
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br />
| | |
| EDOs: 3, 6, 9, 15, 21<br />
| | Scales: |
| Error: 12.830 cents<br />
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| <br />
| | * [[Semaphore9]] – 9-tone albitonic scale |
| <a class="wiki_link" href="/augment6">Six note haplotonic scale</a><br />
| | * [[Semaphore14]] – 14-tone chromatic scale |
| <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>
| | == Kryptonite == |
| | {{See also| Subgroup temperaments #Kryptonite }} |
| | |
| | Scales: |
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
| | |
| | == Oregon == |
| | {{See also| Orgonia #Oregon }} |
| | |
| | Scales: |
| | * [[Oregon7]] – 7-tone haplotonic scale |
| | * [[Oregon11]] – 11-tone albitonic scale |
| | * [[Oregon15]] – 15-tone chromatic scale |
| | |
| | == Antikythera == |
| | {{See also| Jubilismic clan #Antikythera }} |
| | |
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| | |
| | Scales: |
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| | * [[Antikythera10]] – 10-tone albitonic scale |
| | * [[Antikythera16]] – 16-tone chromatic scale |
| | |
| | == Glacial == |
| | {{See also| Subgroup temperaments #Glacial }} |
| | |
| | Scales: |
| | * [[Glacial6]] – 6-tone haplotonic scale |
| | * [[Glacial7]] – 7-tone albitonic scale |
| | * [[Glacial13]] – 13-tone chromatic scale |
| | |
| | == Leantone == |
| | {{See also| Hemimean clan #Leantone }} |
| | |
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| | |
| | Scales: |
| | * [[Leantone6]] – 6-tone haplotonic scale |
| | * [[Leantone7]] – 7-tone albitonic scale |
| | * [[Leantone13]] – 13-tone chromatic scale |
| | |
| | == Notes == |
| | |
| | [[Category:Lists of scales]] |
| | [[Category:Tempered scales| ]] |
| | [[Category:Listen]] |
| | [[Category:Rank 2]] |
| | |
| | {{todo|cleanup}} |