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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>2011-03-25 22:57:24 UTC</tt>.<br>
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| : The original revision id was <tt>214132852</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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| Sval name: 6&21
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| Related temperament: [[Minortonic family#Domain|domain]]
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| POTE generator: ~10/9 = 182.462
| | [[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]] |
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|
| 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
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| Commas: 352/351, 676/675
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| Sval name: 5&24
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| Related temperament: [[The Archipelago|barabdos]]
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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
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| Sval name: 15&19
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| Related temperament: [[Kleismic family|catakleismic]]
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| POTE generator: ~6/5 = 317.076
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
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| Map: [<1 0 1 0|, <0 6 5 14|]
| | Scales: |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
| | * [[Tridec8]] – 8-tone albitonic scale |
| Error: 0.9355 cents
| | * [[Tridec13]] – 13-tone chromatic scale |
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| [[cata7|Seven note albitonic scale]]
| | == Nestoria == |
| [[cata11|Eleven note mega albitonic scale]]
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
| [[cata15|Fifteen note chromatic scale]]
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| [[cata19|Nineteen note mega chromatic scale]]
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| =Tridec=
| | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
| Subgroups: 2.7/5.11/5.13/5
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| Commas: 847/845, 1001/1000
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| Sval name: 5&8
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|
| POTE generator: ~13/10 = 454.461
| | Scales: |
| | * [[Nestoria7]] – 7-tone albitonic scale |
| | * [[Nestoria12]] – 12-tone chromatic scale |
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
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| Map: [<1 2 0 1|, <0 -4 3 1|]
| | == Orgone == |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235
| | {{Main| Orgone }} |
| Error: 1.057
| | {{See also| Orgonia #Orgone }} |
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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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| POTE generator: ~3/2 = 704.052
| | == Marveltwintri == |
| | {{See also| Subgroup temperaments #Marveltwintri }} |
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| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| |
| Error: 1.298 cents
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| [[pepperoni7|Seven note albitonic scale]] | | Scales: |
| [[pepperoni12|Twelve note chromatic scale]] | | * [[Marveltwintri7]] – 7-tone albitonic scale |
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
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| =Nestoria= | | == Cata == |
| Subgroup: 2.3.5.19
| | {{Main| Kleismic }} |
| Commas: 361/360, 513/512
| | {{See also| Kleismic family #Cata }} |
| Sval name: 12&29
| |
| Related temperament: [[Schismatic family|schismatic]]
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| POTE generator: ~3/2 = 701.746
| | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
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| Map: [<1 0 15 9], <0 1 -8 -3|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | * [[Cata7]] – 7-tone albitonic scale |
| Error: 1.819 cents
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
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| [[nestoria7|Seven note albitonic scale]]
| | == Bridgetown == |
| [[nestoria12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Bridgetown }} |
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| ==Photia== | | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| Subgroup 2.3.5.17.19
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| Commas: 171/170, 256/255, 324/323
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| Sval name: 12&41
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| Related temperament: [[Schismatic family|schismatic]]
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| POTE generator: ~3/2 = 701.470
| | Scales: |
| | * [[Bridgetown9]] – 9-tone albitonic scale |
| | * [[Bridgetown14]] – 14-tone chromatic scale |
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| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | ; Music |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| | * [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]] |
| Error: 3.457 cents
| | * ''Route 14 in Bridgetown'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 play] – in Bridgetown[14] for flute, bassoons, and contra-bassoon |
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| [[photia7|Seven note albitonic scale]]
| | == Haumea == |
| [[photia12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Haumea }} |
|
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| =Huntington=
| | Scales: |
| Subgroup: 2.5.7.13
| | * [[Haumea5]] – 5-tone haplotonic scale |
| Commas: 640/637, 10985/10976
| | * [[Haumea9]] – 9-tone albitonic scale |
| Sval name: 10&27
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
|
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|
| POTE generator: ~16/13 = 357.002
| | == Neutral == |
| | {{See also| Rastmic clan #Neutral }} |
|
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|
| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
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| Error: 2.1001 cents
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| [[huntington7|Seven note haplotonic scale]] | | Scales: |
| [[huntington10|Ten note albitonic scale]] | | * [[Neutral7]] – 7-tone albitonic scale |
| [[huntington17|Seventeen note chromatic scale]] | | * [[Neutral10]] – 10-tone chromatic scale |
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
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| =Roulette=
| | ; Music |
| Subgroup: 2.5.7.11.13
| | * [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning |
| Commas: 176/175, 1375/1372, 640/637
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| Sval name: 6&25
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| Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]
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| POTE generator: ~28/25 = 194.594
| | == Slendric == |
| | {{Main| Slendric }} |
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
|
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|
| Map: [<1 0 -3 -7 -13|, <0 2 5 9 -8|]
| | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 37
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| Error: 2.555 cents
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| [[roulette6|Six note haplotonic scale]] | | Scales: |
| [[roulette7|Seven note albitonic scale]] | | * [[Slendric5]] – 5-tone haplotonic scale |
| [[roulette13|Thirteen note chromatic scale]] | | * [[Slendric6]] – 6-tone haplotonic scale |
| [[roulette19|Nineteen note mega chromatic scale]] | | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
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| =Baldy= | | == Huntington == |
| Subgroup: 2.9.5.7.13
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| Commas: 225/224, 325/324, 640/637
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| Sval name: 6&35
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| Related temperament: [[Schismatic family|Garibaldi]]
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| POTE generator: ~9/8 = 204.090
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
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| Map: [<1 0 15 25 -8|, <0 1 -4 -7 10|]
| | Scales: |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
| | * [[Huntington7]] – 7-tone haplotonic scale |
| Error: 2.617 cents
| | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
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| [[baldy6|Six note haplotonic scale]]
| | == Tobago == |
| [[baldy11|Eleven note albitonic scale]]
| | {{See also| Subgroup temperaments #Tobago }} |
| [[baldy17|Seventeen note chromatic scale]]
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| =Bossier=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Tobago6]] – 6-tone haplotonic scale |
| Commas: 1573/1569, 15488/15379
| | * [[Tobago10]] – 10-tone albitonic scale |
| Sval name: 3&17
| | * [[Tobago14]] – 14-tone chromatic scale |
| | * [[Tobago24]] – 24-tone quatertone scale |
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| POTE generator: ~14/11 = 421.309
| | == Pepperoni == |
| | {{See also| Parapyth }} |
| | {{See also| Subgroup temperaments #Pepperoni }} |
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| Map: [<1 0 1 3|, <0 8 7 2|]
| | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| 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]] | | * [[Pepperoni7]] – 7-tone albitonic scale |
| [[bossier14|Fourteen note mega chromatic scale]]
| | * [[Pepperoni12]] – 12-tone chromatic scale |
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| =Radon= | | == Wizz == |
| Subgroup: 2.3.7.11
| | {{See also| No-threes subgroup temperaments #Wizz }} |
| Commas: 896/891, 1029/1024
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| Sval name: 5&36
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| Related temperament: [[Gamelismic clan|Rodan]]
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|
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|
| POTE generator: ~8/7 = 234.381
| | Scales: |
| | * [[Wizz6]] – 6-tone haplotonic scale |
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
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| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | == Bossier == |
| EDOs: 5, 36, 41, 87, 128
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| Error: 2.925 cents
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| [[radon5|Five note haplotonic scale]] | | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| [[radon11|Eleven note albitonic scale]]
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| [[radon16|Sixteen note chromatic scale]]
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| =Silver=
| | Scales: |
| Subgroup: 2.5.7.13.17
| | * [[Bossier8]] – 8-tone albitonic scale |
| Commas: 170/169, 640/637, 5525/5488
| | * [[Bossier11]] – 11-tone chromatic scale |
| Sval name: 10&27
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
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| POTE generator: ~13/8 = 842.711
| | == Penta a.k.a. mechanism == |
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
|
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|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
| | Scales: |
| EDOs: 7, 10, 17, 27, 37, 47, 84, 131
| | * [[Penta5]] – 5-tone haplotonic scale |
| Error: 3.437
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
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| [[silver7|Seven note haplotonic scale]]
| | == Bluebirds == |
| [[silver10|Ten note albitonic scale]]
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| [[silver17|Seventeen note chromatic scale]]
| |
|
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|
| =Indium=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3
| | * [[Bluebirds6]] – 6-tone haplotonic scale |
| Commas: 3025/3024, 3125/3087
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| Sval name: 8&33
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
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| POTE generator: ~12/11 = 147.159
| | == Marveltri == |
| | {{See also| Subgroup temperaments #Marveltri }} |
|
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| Map: [<1 0 0 2|, <0 6 10 -1|]
| | Scales: |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| | * [[Marveltri7]] – 7-tone albitonic scale |
| Error: 3.968 cents
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
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| [[indium8|Eight note albitonic scale]]
| | == Edson == |
| [[indium17|Seventeen note chromatic scale]]
| | {{See also| Subgroup temperaments #Edson }} |
|
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|
| =Hemif=
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Edson5]] – 5-tone haplotonic scale |
| Commas: 144/143, 243/242, 364/363
| | * [[Edson7]] – 7-tone albitonic scale |
| Related temperament: [[Breedsmic temperaments|Hemififths]]
| | * [[Edson12]] – 12-tone chromatic scale |
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | == Photia == |
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
|
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|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| EDOs: 7, 10, 17, 24, 41, 58
| |
| Error: 4.867 cents
| |
|
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|
| [[hemif7|Seven note haplotonic scale]] | | Scales: |
| [[hemif10|Ten note albitonic scale]] | | * [[Photia7]] – 7-tone albitonic scale |
| [[hemif17|Seventeen note chromatic scale]]
| | * [[Photia12]] – 12-tone chromatic scale |
|
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|
| =Skwares= | | == Shoe a.k.a. llywelyn == |
| Subgroup: 2.3.7.11
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| Commas: 99/98, 243/242
| |
| Related temperament: [[Meantone family|squares]]
| |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
|
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|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | Scales: |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| Error: 4.942 cents
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| [[skwares8|Eight note albitonic scale]]
| | == Roulette == |
| [[skwares11|Eleven note mega albitonic scale]]
| | {{See also | Hemimean clan #Roulette }} |
| [[skwares14|Fourteen note chromatic scale]]
| |
|
| |
|
| =Greeley=
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| Subgroup: 2.5/3.7/3.11/3
| |
| Commas: 121/120, 126/125
| |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | Scales: |
| | * [[Roulette6]] – 6-tone haplotonic scale |
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | == Silver == |
| EDOs: 8, 15, 23, 77, 100
| | {{See also | No-threes subgroup temperaments #Silver }} |
| Error: 5.404 cents
| |
|
| |
|
| [[greeley8|Eight note albitonic scale]] | | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| [[greeley15|Fifteen note chromatic scale]]
| |
|
| |
|
| =Semidim=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3.13/3
| | * [[Silver7]] – 7-tone haplotonic scale |
| Commas: 121/120, 169/168, 275/273
| | * [[Silver10]] – 10-tone albitonic scale |
| Sval name: 8&29
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~13/10 = 453.190
| | == Baldy == |
| | {{See also| Subgroup temperaments #Baldy }} |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| |
| Error: 5.433 cents
| |
|
| |
|
| [[semidim8|Eight note albitonic scale]] | | Scales |
| [[semidim13|Thirteen note chromatic scale]] | | * [[Baldy6]] – 6-tone haplotonic scale |
| | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| =Mohaha=
| |
| Subgroup: 2.3.5.11
| |
| Commas: 81/80, 121/120
| |
| Related temperament: [[Meantone family|mohajira]]
| |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | == Guanyintet == |
| | {{See also | Subgroup temperaments #Guanyintet }} |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 31, 131
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Error: 6.733 cents
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| [[mohaha7|Seven note albitonic scale]]
| | == Radon == |
| [[mohaha10|Ten note chromatic scale]]
| | {{See also| Gamelismic clan #Radon }} |
|
| |
|
| ==Mohoho==
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| Subgroup: 2.3.5.11.13
| |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | * [[Radon5]] – 5-tone haplotonic scale |
| | * [[Radon11]] – 11-tone albitonic scale |
| | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | == Gariberttet == |
| EDOs: 7, 10, 17, 24, 31, 55
| | {{See also | Subgroup temperaments #Gariberttet }} |
| Error: 9.556 cents
| |
|
| |
|
| =Tutone=
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Commas: 81/80, 99/98, 126/125
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| Related temperament: [[Meantone family|meantone]]
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | == Namo == |
| | {{See also| Rastmic clan #Namo }} |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| | * [[Namo7]] – 7-tone haplotonic scale |
| Error: 7.047 cents
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| [[tutone6|Six note haplotonic scale]]
| | == Sentry == |
| [[tutone7|Seven note albitonic scale]]
| | {{See also | Subgroup temperaments #Sentry }} |
| [[tutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| ==Leantone==
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Sentry5]] – 5-tone haplotonic scale |
| Commas: 45/44, 56/55, 81/80
| | * [[Sentry8]] – 8-tone albitonic scale |
| Related temperament: [[Meantone family|flattone]]
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | == Hemif == |
| | {{See also| No-fives subgroup temperaments #Hemif }} |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| |
| Error: 20.338 cents
| |
|
| |
|
| [[leantone6|Six note haplotonic scale]] | | Scales: |
| [[leantone7|Seven note albitonic scale]] | | * [[Hemif7]] – 7-tone haplotonic scale |
| [[leantone13|Thirteen note chromatic scale]] | | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| =Score= | | == Garibaldi == |
| Subgroup: 2.7.11.13
| | {{Main| Garibaldi temperament }} |
| Commas: 343/338, 847/832
| | {{See also| Schismatic family #Garibaldi }} |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | Scales: |
| EDOs: 5, 7, 9, 11, 20
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| Error: 8.052 cents
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| [[score5|Five note haplotonic scale]]
| | == Mabilic == |
| [[score7|Seven note albitonic scale]]
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| [[score9|Nine note mega albitonic scale]]
| |
| [[score11|Eleven note chromatic scale]]
| |
|
| |
|
| =Supra=
| | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| Subgroup: 2.3.7.11
| |
| Commas: 64/63, 99/98
| |
| Related temperament: [[Archytas clan|superpyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | Scales: |
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| | * [[Mabilic9]] – 9-tone albitonic scale |
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | == Indium == |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| | {{See also | Subgroup temperaments #Indium }} |
| Error: 9.795 cents
| |
|
| |
|
| [[supra7|Seven note albitonic scale]] | | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| [[supra12|Twelve note chromatic scale]]
| |
|
| |
|
| ==Supraphon==
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Indium8]] – 8-tone albitonic scale |
| Commas: 64/63, 78/77, 99/98
| | * [[Indium17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | ; Music |
| | * ''The Cry of Indium'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/the-cry-of-indium/ blog] | [https://web.archive.org/web/20201127012551/http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 play] – in Indium[17] |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | == Starlingtet == |
| EDOs: 5, 7, 12, 17
| | {{See also | Subgroup temperaments #Starlingtet }} |
| Error: 10.534 cents
| |
|
| |
|
| ==Machine==
| | Scales: |
| Subgroup: 2.9.7.11
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| Commas: 64/63, 99/98
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | == Lovecraft == |
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| EDOs: 5, 6, 11, 17, 28
| |
| Error: 10.100 cents
| |
|
| |
|
| [[machine5|Five note haplotonic scale]] | | Scales: |
| [[machine6|Six note albitonic scale]] | | * [[Lovecraft5]] – 5-tone haplotonic scale |
| [[machine11|Eleven note chromatic scale]] | | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| =Augment= | | == Blackbirds == |
| Subgroup: 2.5.7.11
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| Commas: 56/55, 128/125
| |
| Related temperament: [[Augmented family|augmented]]
| |
|
| |
|
| POTE generator: ~8/7
| | Scales: |
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | == Laz == |
| EDOs: 3, 6, 9, 15, 21
| | {{See also | Subgroup temperaments #Laz }} |
| Error: 12.830 cents
| |
|
| |
|
| [[augment6|Six note haplotonic scale]] | | Scales: |
| [[augment9|Nine note albitonic scale]] | | * [[Laz5]] – 5-tone haplotonic scale |
| [[augment12|Twelve note chromatic scale]] | | * [[Laz9]] – 9-tone albitonic scale |
| </pre></div>
| | * [[Laz13]] – 13-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 />
| | == Myna == |
| <br />
| | {{Main| Myna }} |
| <!-- ws:start:WikiTextTocRule:54:&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:54 --><!-- ws:start:WikiTextTocRule:55: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: -->
| | {{See also| Starling temperaments #Myna }} |
| <!-- ws:end:WikiTextTocRule:82 --><br />
| | |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1>
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| Subgroup: 2.9/5.9/7<br /> | | |
| Commas: 250047/250000<br />
| | Scales: |
| Sval name: 6&amp;21<br />
| | * [[Myna7]] – 7-tone haplotonic scale |
| Related temperament: <a class="wiki_link" href="/Minortonic%20family#Domain">domain</a><br />
| | * [[Myna11]] – 11-tone albitonic scale |
| <br />
| | * [[Myna15]] – 15-tone chromatic scale |
| POTE generator: ~10/9 = 182.462<br />
| | |
| <br />
| | == Greeley == |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | {{See also| Subgroup temperaments #Greeley }} |
| 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 />
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| <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 />
| | Scales: |
| <br />
| | * [[Greeley8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | * [[Greeley15]] – 15-tone chromatic scale |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | |
| <br />
| | ; Music |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:2 -->Bridgetown</h1>
| | * ''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] |
| Subgroup: 2.3.11/5.13/5<br />
| | |
| Commas: 352/351, 676/675<br />
| | == Ammon == |
| Sval name: 5&amp;24<br />
| | {{See also| Subgroup temperaments #Ammon }} |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabdos</a><br />
| | |
| <br />
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| POTE generator: ~15/13 = 248.285<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | * [[Ammon8]] – 8-tone albitonic scale |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | * [[Ammon13]] – 13-tone chromatic scale |
| Error: 0.8996 cents<br />
| | |
| <br />
| | == Mothwelltri == |
| <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
| | {{See also| Subgroup temperaments #Mothwelltri }} |
| <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:4 -->Cata</h1>
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| Subgroup: 2.3.5.13<br />
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| Commas: 325/324, 625/624<br />
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
| Sval name: 15&amp;19<br />
| | |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | == Sulis == |
| <br />
| | {{See also| Subgroup temperaments #Sulis }} |
| POTE generator: ~6/5 = 317.076<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | * [[Sulis7]] – 7-tone haplotonic scale |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br />
| | * [[Sulis10]] – 10-tone albitonic scale |
| Error: 0.9355 cents<br />
| | * [[Sulis13]] – 13-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br />
| | == Skwares == |
| <a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br />
| | {{Main| Squares }} |
| <a class="wiki_link" href="/cata15">Fifteen note chromatic scale</a><br />
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| <a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br />
| | |
| <br />
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:6 -->Tridec</h1>
| | |
| Subgroups: 2.7/5.11/5.13/5<br />
| | Scales: |
| Commas: 847/845, 1001/1000<br />
| | * [[Skwares8]] – 8-tone albitonic scale |
| Sval name: 5&amp;8<br />
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Skwares14]] – 14-tone chromatic scale |
| POTE generator: ~13/10 = 454.461<br />
| | |
| <br />
| | == Orwell == |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
| | {{Main| Orwell }} |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235<br />
| | {{See also| Semicomma family #Orwell }} |
| Error: 1.057<br />
| | |
| <br />
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| <a class="wiki_link" href="/Tridec8">Eight note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/Tridec13">Thirteen note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Orwell5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:8 -->Pepperoni</h1>
| | * [[Orwell9]] – 9-tone albitonic scale |
| Subgroup: 2.3.11/7.13/7<br />
| | * [[Orwell13]] – 13-tone chromatic scale |
| Commas: 352/351, 364/363<br />
| | |
| Sval name: 5&amp;12<br />
| | == Magicaltet == |
| 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 />
| | {{See also| Subgroup temperaments #Magicaltet }} |
| <br />
| | |
| POTE generator: ~3/2 = 704.052<br />
| | Scales: |
| <br />
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
| Error: 1.298 cents<br />
| | |
| <br />
| | == Magic == |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | {{Main| Magic }} |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | {{See also| Magic family #Magic }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:10 -->Nestoria</h1>
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| Subgroup: 2.3.5.19<br />
| | |
| Commas: 361/360, 513/512<br />
| | Scales: |
| Sval name: 12&amp;29<br />
| | * [[Magic7]] – 7-tone haplotonic scale |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | * [[Magic10]] – 10-tone albitonic scale |
| <br />
| | * [[Magic13]] – 13-tone chromatic scale |
| POTE generator: ~3/2 = 701.746<br />
| | * [[Magic16]] – 16-tone mega-chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br />
| | == Kiribati == |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| | {{See also| Subgroup temperaments #Kiribati }} |
| Error: 1.819 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | * [[Kiribati13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | * [[Kiribati14]] – 14-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Nestoria-Photia"></a><!-- ws:end:WikiTextHeadingRule:12 -->Photia</h2>
| | == Score == |
| Subgroup 2.3.5.17.19<br />
| | {{See also|No-threes subgroup temperaments #Score }} |
| Commas: 171/170, 256/255, 324/323<br />
| | |
| Sval name: 12&amp;41<br />
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~3/2 = 701.470<br />
| | * [[Score5]] – 5-tone haplotonic scale |
| <br />
| | * [[Score7]] – 7-tone albitonic scale |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | * [[Score9]] – 9-tone mega-albitonic scale |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | * [[Score11]] – 11-tone chromatic scale |
| Error: 3.457 cents<br />
| | |
| <br />
| | == Sensi == |
| <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br />
| | {{Main| Sensi }} |
| <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br />
| | {{See also| Sensipent family #Sensi }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:14 -->Huntington</h1>
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| Subgroup: 2.5.7.13<br />
| | |
| Commas: 640/637, 10985/10976<br />
| | Scales: |
| Sval name: 10&amp;27<br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| POTE generator: ~16/13 = 357.002<br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | === Sensation === |
| Error: 2.1001 cents<br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:16 -->Roulette</h1>
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| Subgroup: 2.5.7.11.13<br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| Commas: 176/175, 1375/1372, 640/637<br />
| | |
| Sval name: 6&amp;25<br />
| | == Meantone == |
| Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| | {{Main| Meantone }} |
| <br />
| | {{See also| Meantone family #Meantone }} |
| POTE generator: ~28/25 = 194.594<br />
| | |
| <br />
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br />
| | |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | Scales: |
| Error: 2.555 cents<br />
| | * [[Meantone5]] – 5-tone haplotonic scale |
| <br />
| | * [[Meantone7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br />
| | * [[Meantone12]] – 12-tone chromatic scale |
| <a class="wiki_link" href="/roulette7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/roulette13">Thirteen note chromatic scale</a><br />
| | == Mohaha == |
| <a class="wiki_link" href="/roulette19">Nineteen note mega chromatic scale</a><br />
| | {{See also| Rastmic clan #Mohaha }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:18 -->Baldy</h1>
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| Subgroup: 2.9.5.7.13<br />
| | |
| Commas: 225/224, 325/324, 640/637<br />
| | Scales: |
| Sval name: 6&amp;35<br />
| | * [[Mohaha7]] – 7-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
| | * [[Mohaha10]] – 10-tone chromatic scale |
| <br />
| | |
| POTE generator: ~9/8 = 204.090<br />
| | Music: |
| <br />
| | ; [[Billy Stiltner]] |
| Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]<br />
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br />
| | |
| Error: 2.617 cents<br />
| | === Mohoho === |
| <br />
| | {{See also| Rastmic clan #Mohoho }} |
| <a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/baldy11">Eleven note albitonic scale</a><br />
| | == Joan == |
| <a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br />
| | {{See also| Subgroup temperaments #Joan }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:20 -->Bossier</h1>
| | Scales: |
| Subgroup: 2.7.11.13<br />
| | * [[Joan5]] – 5-tone haplotonic scale |
| Commas: 1573/1569, 15488/15379<br />
| | * [[Joan7]] – 7-tone albitonic scale |
| Sval name: 3&amp;17<br />
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| <br />
| | * [[Joan11]] – 11-tone chromatic scale |
| POTE generator: ~14/11 = 421.309<br />
| | |
| <br />
| | == Tutone == |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| | {{See also| Hemimean clan #Tutone }} |
| EDOs: 17, 20, 37, 57, 94, 225<br />
| | |
| Error: 2.665 cents<br />
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| <br />
| | |
| <a class="wiki_link" href="/bossier8">Eight note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/bossier11">Eleven note chromatic scale</a><br />
| | * [[Tutone6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/bossier14">Fourteen note mega chromatic scale</a><br />
| | * [[Tutone7]] – 7-tone albitonic scale |
| <br />
| | * [[Tutone13]] – 13-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:22 -->Radon</h1>
| | |
| Subgroup: 2.3.7.11<br />
| | == Stacks == |
| Commas: 896/891, 1029/1024<br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| Sval name: 5&amp;36<br />
| | |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><br />
| | Scales: |
| <br />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| POTE generator: ~8/7 = 234.381<br />
| | * [[Stacks8]] – 8-tone albitonic scale |
| <br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| EDOs: 5, 36, 41, 87, 128<br />
| | |
| Error: 2.925 cents<br />
| | == Bleu == |
| <br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
| | * [[Bleu8]] – 8-tone haplotonic scale |
| <br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:24 -->Silver</h1>
| | * [[Bleu17]] – 17-tone chromatic scale |
| Subgroup: 2.5.7.13.17<br />
| | |
| Commas: 170/169, 640/637, 5525/5488<br />
| | == Sephiroth == |
| Sval name: 10&amp;27<br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| <br />
| | |
| POTE generator: ~13/8 = 842.711<br />
| | Scales: |
| <br />
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br />
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| EDOs: 7, 10, 17, 27, 37, 47, 84, 131<br />
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| Error: 3.437<br />
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/silver7">Seven note haplotonic scale</a><br />
| | == Archy == |
| <a class="wiki_link" href="/silver10">Ten note albitonic scale</a><br />
| | {{Main| Superpyth }} |
| <a class="wiki_link" href="/silver17">Seventeen note chromatic scale</a><br />
| | {{See also| Archytas clan #Archy }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:26 -->Indium</h1>
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3<br />
| | * [[Archy5]] – 5-tone haplotonic scale |
| Commas: 3025/3024, 3125/3087<br />
| | * [[Archy7]] – 7-tone albitonic scale |
| Sval name: 8&amp;33<br />
| | * [[Archy12]] – 12-tone chromatic scale |
| <br />
| | |
| POTE generator: ~12/11 = 147.159<br />
| | === Supra === |
| <br />
| | {{Main| Superpyth }} |
| Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br />
| | {{See also| Archytas clan #Supra }} |
| EDOs: 33, 41, 49, 57, 106, 204, 253<br />
| | |
| Error: 3.968 cents<br />
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| <br />
| | |
| <a class="wiki_link" href="/indium8">Eight note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/indium17">Seventeen note chromatic scale</a><br />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| <br />
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:28 -->Hemif</h1>
| | |
| Subgroup: 2.3.7.11.13<br />
| | === Supraphon === |
| Commas: 144/143, 243/242, 364/363<br />
| | {{Main| Superpyth }} |
| Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br />
| | {{See also| Archytas clan #Supraphon }} |
| <br />
| | |
| POTE generator: ~11/9 = 351.691<br />
| | == Suhajira == |
| <br />
| | {{See also| Archytas clan #Suhajira }} |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| | |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| | Scales: |
| Error: 4.867 cents<br />
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| <br />
| | * [[Suhajira10]] – 10-tone albitonic scale |
| <a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br />
| | * [[Suhajira17]] – 17-tone chromatic scale |
| <a class="wiki_link" href="/hemif10">Ten note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br />
| | == Machine == |
| <br />
| | {{See also| Subgroup temperaments #Machine}} |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:30 -->Skwares</h1>
| | |
| Subgroup: 2.3.7.11<br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| Commas: 99/98, 243/242<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">squares</a><br />
| | Scales: |
| <br />
| | * [[Machine5]] – 5-tone haplotonic scale |
| POTE generator: ~9/7 = 425.244<br />
| | * [[Machine6]] – 6-tone albitonic scale |
| <br />
| | * [[Machine11]] – 11-tone chromatic scale |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| | |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| | == Deutone == |
| Error: 4.942 cents<br />
| | {{See also| Hemimean clan #Deutone }} |
| <br />
| | |
| <a class="wiki_link" href="/skwares8">Eight note albitonic scale</a><br />
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| <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 />
| | * [[Deutone6]] – 6-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:32 -->Greeley</h1>
| | * [[Deutone7]] – 7-tone albitonic scale |
| Subgroup: 2.5/3.7/3.11/3<br />
| | * [[Deutone13]] – 13-tone chromatic scale |
| Commas: 121/120, 126/125<br />
| | |
| <br />
| | == Negra == |
| POTE generator: ~11/10 = 156.055<br />
| | {{Main| Negri }} |
| <br />
| | {{See also| Marvel temperaments #Negri }} |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| | |
| EDOs: 8, 15, 23, 77, 100<br />
| | == Porkypine == |
| Error: 5.404 cents<br />
| | {{Main| Porcupine }} |
| <br />
| | {{See also| Porcupine family #Porcupine }} |
| <a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:34 -->Semidim</h1>
| | * [[Porkypine8]] – 8-tone albitonic scale |
| Subgroup: 2.5/3.7/3.11/3.13/3<br />
| | * [[Porkypine15]] – 15-tone chromatic scale |
| Commas: 121/120, 169/168, 275/273<br />
| | |
| Sval name: 8&amp;29<br />
| | == Skateboard == |
| <br />
| | {{See also| Subgroup temperaments #Skateboard }} |
| POTE generator: ~13/10 = 453.190<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br />
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| EDOs: 5, 8, 13, 21, 29, 37, 45<br />
| | * [[Skateboard11]] – 11-tone albitonic scale |
| Error: 5.433 cents<br />
| | * [[Skateboard15]] – 15-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/semidim8">Eight note albitonic scale</a><br />
| | == Augment == |
| <a class="wiki_link" href="/semidim13">Thirteen note chromatic scale</a><br />
| | {{See also| No-threes subgroup temperaments #Augment }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:36 -->Mohaha</h1>
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| Subgroup: 2.3.5.11<br />
| | |
| Commas: 81/80, 121/120<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">mohajira</a><br />
| | * [[Augment6]] – 6-tone haplotonic scale |
| <br />
| | * [[Augment9]] – 9-tone albitonic scale |
| POTE generator: ~11/9 = 348.094<br />
| | * [[Augment12]] – 12-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| | == Semaphore == |
| EDOs: 7, 10, 17, 24, 31, 131<br />
| | {{Main| Semaphore and godzilla }} |
| Error: 6.733 cents<br />
| | {{See also| Semaphoresmic clan #Semaphore }} |
| <br />
| | |
| <a class="wiki_link" href="/mohaha7">Seven note albitonic scale</a><br />
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| <a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:38 -->Mohoho</h2>
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| Subgroup: 2.3.5.11.13<br />
| | * [[Semaphore9]] – 9-tone albitonic scale |
| Commas: 66/65, 81/80, 121/120<br />
| | * [[Semaphore14]] – 14-tone chromatic scale |
| <br />
| | |
| POTE generator: ~11/9 = 348.916<br />
| | == Kryptonite == |
| <br />
| | {{See also| Subgroup temperaments #Kryptonite }} |
| 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 />
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| <br />
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:40 -->Tutone</h1>
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
| Subgroup: 2.9.5.7.11<br />
| | |
| Commas: 81/80, 99/98, 126/125<br />
| | == Oregon == |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">meantone</a><br />
| | {{See also| Orgonia #Oregon }} |
| <br />
| | |
| POTE generator: ~9/8 = 193.937<br />
| | Scales: |
| <br />
| | * [[Oregon7]] – 7-tone haplotonic scale |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| | * [[Oregon11]] – 11-tone albitonic scale |
| EDOs: 6, 7, 13, 19, 25, 31, 99<br />
| | * [[Oregon15]] – 15-tone chromatic scale |
| Error: 7.047 cents<br />
| | |
| <br />
| | == Antikythera == |
| <a class="wiki_link" href="/tutone6">Six note haplotonic scale</a><br />
| | {{See also| Jubilismic clan #Antikythera }} |
| <a class="wiki_link" href="/tutone7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br />
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Tutone-Leantone"></a><!-- ws:end:WikiTextHeadingRule:42 -->Leantone</h2>
| | Scales: |
| Subgroup: 2.9.5.7.11<br />
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| Commas: 45/44, 56/55, 81/80<br />
| | * [[Antikythera10]] – 10-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">flattone</a><br />
| | * [[Antikythera16]] – 16-tone chromatic scale |
| <br />
| | |
| POTE generator: ~9/8 = 192.500<br />
| | == Glacial == |
| <br />
| | {{See also| Subgroup temperaments #Glacial }} |
| Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
| | |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
| | Scales: |
| Error: 20.338 cents<br />
| | * [[Glacial6]] – 6-tone haplotonic scale |
| <br />
| | * [[Glacial7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/leantone6">Six note haplotonic scale</a><br />
| | * [[Glacial13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/leantone7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br />
| | == Leantone == |
| <br />
| | {{See also| Hemimean clan #Leantone }} |
| <!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:44 -->Score</h1>
| | |
| Subgroup: 2.7.11.13<br />
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| Commas: 343/338, 847/832<br />
| | |
| <br />
| | Scales: |
| POTE generator: ~11/8 = 540.099<br />
| | * [[Leantone6]] – 6-tone haplotonic scale |
| <br />
| | * [[Leantone7]] – 7-tone albitonic scale |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| | * [[Leantone13]] – 13-tone chromatic scale |
| EDOs: 5, 7, 9, 11, 20<br />
| | |
| Error: 8.052 cents<br />
| | == Notes == |
| <br />
| | |
| <a class="wiki_link" href="/score5">Five note haplotonic scale</a><br />
| | [[Category:Lists of scales]] |
| <a class="wiki_link" href="/score7">Seven note albitonic scale</a><br />
| | [[Category:Tempered scales| ]] |
| <a class="wiki_link" href="/score9">Nine note mega albitonic scale</a><br />
| | [[Category:Listen]] |
| <a class="wiki_link" href="/score11">Eleven note chromatic scale</a><br />
| | [[Category:Rank 2]] |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id="toc23"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:46 -->Supra</h1>
| | {{todo|cleanup}} |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| Related temperament: <a class="wiki_link" href="/Archytas%20clan">superpyth</a><br />
| |
| <br />
| |
| POTE generator: ~3/2 = 707.192<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
| |
| EDOs: 5, 7, 12, 17, 22, 39, 56<br />
| |
| Error: 9.795 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/supra7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:48 -->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:50:&lt;h2&gt; --><h2 id="toc25"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:50 -->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:52:&lt;h1&gt; --><h1 id="toc26"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:52 -->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<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>
| |