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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>2011-03-11 14:49:19 UTC</tt>.<br>
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| : The original revision id was <tt>209702990</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 TE error; since this is a weighted measure, subgroups which emphasize the higher primes will get a lower error rating because of it. Even so, note that many of these temperaments are quite accurate.
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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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|
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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: 0.0859 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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|
| =Nestoria=
| | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
| Subgroup: 2.3.5.19
| |
| Commas: 361/360, 513/512
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| Related temperament: [[Schismatic family|schismatic]]
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|
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|
| POTE generator: ~3/2 = 701.746
| | Scales: |
| | * [[Petrtri5]] – 5-tone haplotonic scale |
| | * [[Petrtri8]] – 8-tone albitonic scale |
| | * [[Petrtri13]] – 13-tone chromatic scale |
|
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|
| Map: [<1 0 15 9], <0 1 -8 -3|]
| | == Barton == |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | {{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}} |
| Error: 0.611 cents
| | {{See also| The Jacobins #Barton }} |
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| [[nestoria7|Seven note albitonic scale]] | | Scales: |
| [[nestoria12|Twelve 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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| ==Photia== | | == Tridec == |
| Subgroup 2.3.5.17.19 | | {{See also| Subgroup temperaments #Tridec }} |
| Commas: 171/170, 256/255, 324/323
| |
| Related temperament: [[Schismatic family|schismatic]]
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|
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|
| POTE generator: ~3/2 = 701.470
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
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|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| | * [[Tridec8]] – 8-tone albitonic scale |
| Error: 1.512 cents
| | * [[Tridec13]] – 13-tone chromatic scale |
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| [[photia7|Seven note albitonic scale]]
| | == Nestoria == |
| [[photia12|Twelve note chromatic scale]]
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
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|
| =Cata=
| | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
| Subgroup: 2.3.5.13
| |
| Commas: 325/324, 625/624
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| Related temperament: [[Kleismic family|catakleismic]]
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|
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|
| POTE generator: ~6/5 = 317.076
| | Scales: |
| | * [[Nestoria7]] – 7-tone albitonic scale |
| | * [[Nestoria12]] – 12-tone chromatic scale |
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
|
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|
| Map: [<1 0 1 0|, <0 6 5 14|]
| | == Orgone == |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
| | {{Main| Orgone }} |
| Error: 0.735 cents
| | {{See also| Orgonia #Orgone }} |
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| [[cata7|Seven note albitonic scale]] | | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
| [[cata11|Eleven note mega albitonic scale]]
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| [[cata15|Fifteen note chromatic scale]]
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| [[cata19|Nineteen note mega chromatic scale]]
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|
| =Bridgetown=
| | Scales: |
| Subgroup: 2.3.11/5.13/5
| | * [[Orgone7]] – 7-tone albitonic scale |
| Commas: 352/351, 676/675
| | * [[Orgone11]] – 11-tone chromatic scale |
| Related temperament: [[The Archipelago|barabdos]]
| | * [[Orgone15]] – 15-tone mega-chromatic scale |
|
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| POTE generator: ~15/13 = 248.285
| | == Marveltwintri == |
| | {{See also| Subgroup temperaments #Marveltwintri }} |
|
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|
| Map: [<1 0 -6 -1|, <0 2 9 3|]
| | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
| EDOs: 5, 9, 14, 19, 24, 29
| |
| Error: 0.8489 cents
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| [[bridgetown9|Nine note albitonic scale]] | | Scales: |
| [[bridgetown14|Fourteen note chromatic scale]] | | * [[Marveltwintri7]] – 7-tone albitonic scale |
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
|
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| =Huntington= | | == Cata == |
| Subgroup: 2.5.7.13
| | {{Main| Kleismic }} |
| Commas: 640/637, 10985/10976
| | {{See also| Kleismic family #Cata }} |
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|
| POTE generator: ~16/13 = 357.002
| | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
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|
| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| | * [[Cata7]] – 7-tone albitonic scale |
| Error: 1.036 cents
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
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| [[huntington7|Seven note haplotonic scale]]
| | == Bridgetown == |
| [[huntington10|Ten note albitonic scale]]
| | {{See also| Subgroup temperaments #Bridgetown }} |
| [[huntington17|Seventeen note chromatic scale]]
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|
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|
| =Roulette=
| | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| Subgroup: 2.5.7.11.13
| |
| Commas: 176/175, 1375/1372, 640/637
| |
| Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]
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|
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|
| POTE generator: ~28/25 = 194.594
| | Scales: |
| | * [[Bridgetown9]] – 9-tone albitonic scale |
| | * [[Bridgetown14]] – 14-tone chromatic scale |
|
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|
| Map: [<1 0 -3 -7 -13|, <0 2 5 9 -8|]
| | ; Music |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| | * [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]] |
| Error: 1.363 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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| [[roulette6|Six note haplotonic scale]]
| | == Haumea == |
| [[roulette7|Seven note albitonic scale]]
| | {{See also| Subgroup temperaments #Haumea }} |
| [[roulette13|Thirteen note chromatic scale]]
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| [[roulette19|Nineteen note mega chromatic scale]]
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|
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|
| =Baldy=
| | Scales: |
| Subgroup: 2.9.5.7.13
| | * [[Haumea5]] – 5-tone haplotonic scale |
| Commas: 225/224, 325/325, 640/637
| | * [[Haumea9]] – 9-tone albitonic scale |
| Related temperament: [[Schismatic family|Garibaldi]]
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
|
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|
| POTE generator: ~9/8 = 204.090
| | == Neutral == |
| | {{See also| Rastmic clan #Neutral }} |
|
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|
| Map: [<1 0 15 25 -8|, <0 1 -4 -7 10|]
| | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
| |
| Error: 1.469 cents
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|
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|
| [[baldy6|Six note haplotonic scale]] | | Scales: |
| [[baldy11|Eleven note albitonic scale]] | | * [[Neutral7]] – 7-tone albitonic scale |
| [[baldy17|Seventeen note chromatic scale]] | | * [[Neutral10]] – 10-tone chromatic scale |
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
|
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|
| =Hemif=
| | ; Music |
| Subgroup: 2.3.7.11.13
| | * [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: 144/143, 243/242, 364/363
| |
| Related temperament: [[Breedsmic temperaments|Hemififths]]
| |
|
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|
| POTE generator: ~11/9 = 351.691
| | == Slendric == |
| | {{Main| Slendric }} |
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
|
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|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| EDOs: 7, 10, 17, 24, 41, 58
| |
| Error: 1.756
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| [[hemif7|Seven note haplotonic scale]] | | Scales: |
| [[hemif10|Ten note albitonic scale]] | | * [[Slendric5]] – 5-tone haplotonic scale |
| [[hemif17|Seventeen note chromatic scale]] | | * [[Slendric6]] – 6-tone haplotonic scale |
| | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
|
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| =Radon= | | == Huntington == |
| Subgroup: 2.3.7.11
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| Commas: 896/891, 1029/1024
| |
| Related temperament: [[Gamelismic clan|Rodan]]
| |
|
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|
| POTE generator: ~8/7 = 234.381
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
|
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|
| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | Scales: |
| EDOs: 5, 36, 41, 87, 128
| | * [[Huntington7]] – 7-tone haplotonic scale |
| Error: 1.781 cents
| | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
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| [[radon5|Five note haplotonic scale]]
| | == Tobago == |
| [[radon11|Eleven note albitonic scale]]
| | {{See also| Subgroup temperaments #Tobago }} |
| [[radon16|Sixteen note chromatic scale]]
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|
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|
| =Pepperoni=
| | Scales: |
| Subgroup: 2.3.11/7.13/7
| | * [[Tobago6]] – 6-tone haplotonic scale |
| Commas: 352/351, 364/363
| | * [[Tobago10]] – 10-tone albitonic scale |
| Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]]
| | * [[Tobago14]] – 14-tone chromatic scale |
| | * [[Tobago24]] – 24-tone quatertone scale |
|
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|
| POTE generator: ~3/2 = 704.052
| | == Pepperoni == |
| | {{See also| Parapyth }} |
| | {{See also| Subgroup temperaments #Pepperoni }} |
|
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|
| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| |
| Error: 2.155 cents
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| [[pepperoni7|Seven note albitonic scale]] | | Scales: |
| [[pepperoni12|Twelve note chromatic scale]] | | * [[Pepperoni7]] – 7-tone albitonic scale |
| | * [[Pepperoni12]] – 12-tone chromatic scale |
|
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| =Skwares= | | == Wizz == |
| Subgroup: 2.3.7.11
| | {{See also| No-threes subgroup temperaments #Wizz }} |
| Commas: 99/98, 243/242
| |
| Related temperament: [[Meantone family|squares]]
| |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | Scales: |
| | * [[Wizz6]] – 6-tone haplotonic scale |
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
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| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | == Bossier == |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| Error: 3.009 cents
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| [[skwares8|Eight note albitonic scale]] | | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| [[skwares11|Eleven note mega albitonic scale]]
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| [[skwares14|Fourteen note chromatic scale]]
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| =Tutone=
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Bossier8]] – 8-tone albitonic scale |
| Commas: 81/80, 99/98, 126/125
| | * [[Bossier11]] – 11-tone chromatic scale |
| Related temperament: [[Meantone family|meantone]]
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
|
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|
| POTE generator: ~9/8 = 193.937
| | == Penta a.k.a. mechanism == |
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
|
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|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| | * [[Penta5]] – 5-tone haplotonic scale |
| Error: 3.218 cents
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
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| [[tutone6|Six note haplotonic scale]]
| | == Bluebirds == |
| [[tutone7|Seven note albitonic scale]]
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| [[tutone13|Thirteen note chromatic scale]]
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|
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| ==Leantone==
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Bluebirds6]] – 6-tone haplotonic scale |
| Commas: 45/44, 56/55, 81/80
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| Related temperament: [[Meantone family|flattone]]
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | == Marveltri == |
| | {{See also| Subgroup temperaments #Marveltri }} |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| | * [[Marveltri7]] – 7-tone albitonic scale |
| Error: 8.680 cents
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
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| [[leantone6|Six note haplotonic scale]]
| | == Edson == |
| [[leantone7|Seven note albitonic scale]]
| | {{See also| Subgroup temperaments #Edson }} |
| [[leantone13|Thirteen note chromatic scale]]
| |
|
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|
| =Mohaha=
| | Scales: |
| Subgroup: 2.3.5.11
| | * [[Edson5]] – 5-tone haplotonic scale |
| Commas: 81/80, 121/120
| | * [[Edson7]] – 7-tone albitonic scale |
| Related temperament: [[Meantone family|mohajira]]
| | * [[Edson12]] – 12-tone chromatic scale |
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | == Photia == |
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| EDOs: 7, 10, 17, 24, 31, 131
| |
| Error: 3.813 cents
| |
|
| |
|
| [[mohaha7|Seven note albitonic scale]] | | Scales: |
| [[mohaha10|Ten note chromatic scale]] | | * [[Photia7]] – 7-tone albitonic scale |
| | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| ==Mohoho== | | == Shoe a.k.a. llywelyn == |
| Subgroup: 2.3.5.11.13
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 31, 55
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| Error: 4.829 cents
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
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| =Score= | | == Roulette == |
| Subgroup: 2.7.11.13
| | {{See also | Hemimean clan #Roulette }} |
| Commas: 343/338, 847/832
| |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | Scales: |
| EDOs: 5, 7, 9, 11, 20
| | * [[Roulette6]] – 6-tone haplotonic scale |
| Error: 3.846 cents
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[score5|Five note haplotonic scale]]
| | == Silver == |
| [[score7|Seven note albitonic scale]]
| | {{See also | No-threes subgroup temperaments #Silver }} |
| [[score9|Nine note mega albitonic scale]]
| |
| [[score11|Eleven note chromatic scale]]
| |
|
| |
|
| =Supra=
| | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| Subgroup: 2.3.7.11
| |
| Commas: 64/63, 99/98
| |
| Related temperament: [[Archytas clan|superpyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | Scales: |
| | * [[Silver7]] – 7-tone haplotonic scale |
| | * [[Silver10]] – 10-tone albitonic scale |
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | == Baldy == |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| | {{See also| Subgroup temperaments #Baldy }} |
| Error: 5.414 cents
| |
|
| |
|
| [[supra7|Seven note albitonic scale]] | | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
| [[supra12|Twelve note chromatic scale]]
| |
|
| |
|
| ===Machine===
| | Scales |
| Subgroup: 2.9.7.11
| | * [[Baldy6]] – 6-tone haplotonic scale |
| Commas: 64/63, 99/98
| | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 214.384
| |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | == Guanyintet == |
| EDOs: 5, 6, 11, 17, 28
| | {{See also | Subgroup temperaments #Guanyintet }} |
| Error: 5.414 cents
| |
|
| |
|
| [[machine5|Five note haplotonic scale]] | | Scales: |
| [[machine6|Six note albitonic scale]] | | * [[Guanyintet5]] – 5-tone haplotonic scale |
| [[machine11|Eleven note chromatic scale]] | | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| =Augment= | | == Radon == |
| Subgroup: 2.5.7.11
| | {{See also| Gamelismic clan #Radon }} |
| Commas: 56/55, 128/125
| |
| Related temperament: [[Augmented family|augmented]]
| |
|
| |
|
| POTE generator: ~8/7
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | * [[Radon5]] – 5-tone haplotonic scale |
| EDOs: 3, 6, 9, 15, 21
| | * [[Radon11]] – 11-tone albitonic scale |
| Error: 6.632 cents
| | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| [[augment6|Six note haplotonic scale]]
| | == Gariberttet == |
| [[augment9|Nine note albitonic scale]]
| | {{See also | Subgroup temperaments #Gariberttet }} |
| [[augment12|Twelve note chromatic scale]]
| |
|
| |
|
| =Greeley=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Commas: 121/120, 126/125
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | == Namo == |
| | {{See also| Rastmic clan #Namo }} |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | Scales: |
| EDOs: 8, 15, 23, 77, 100
| | * [[Namo7]] – 7-tone haplotonic scale |
| Error: 7.555 cents
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| [[greeley8|Eight note albitonic scale]] | | == Sentry == |
| [[greeley15|Fifteen note chromatic scale]] | | {{See also | Subgroup temperaments #Sentry }} |
| </pre></div>
| | |
| <h4>Original HTML content:</h4>
| | Scales: |
| <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 TE error; since this is a weighted measure, subgroups which emphasize the higher primes will get a lower error rating because of it. Even so, note that many of these temperaments are quite accurate.<br />
| | * [[Sentry5]] – 5-tone haplotonic scale |
| <br />
| | * [[Sentry8]] – 8-tone albitonic scale |
| <!-- ws:start:WikiTextTocRule:42:&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:42 --><!-- ws:start:WikiTextTocRule:43: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:43 --><!-- ws:start:WikiTextTocRule:44: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:44 --><!-- ws:start:WikiTextTocRule:45: --><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: -->
| | * [[Sentry11]] – 11-tone chromatic scale |
| <!-- ws:end:WikiTextTocRule:64 --><br />
| | |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1>
| | == Hemif == |
| Subgroup: 2.9/5.9/7<br /> | | {{See also| No-fives subgroup temperaments #Hemif }} |
| Commas: 250047/250000<br />
| | |
| <br />
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
| POTE generator: ~10/9 = 182.462<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | * [[Hemif7]] – 7-tone haplotonic scale |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | * [[Hemif10]] – 10-tone albitonic scale |
| Error: 0.0859 cents<br />
| | * [[Hemif17]] – 17-tone chromatic scale |
| <br />
| | |
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br />
| | == Garibaldi == |
| <br />
| | {{Main| Garibaldi temperament }} |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | {{See also| Schismatic family #Garibaldi }} |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | |
| <br />
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:2 -->Nestoria</h1>
| | |
| Subgroup: 2.3.5.19<br />
| | Scales: |
| Commas: 361/360, 513/512<br />
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | * [[Garibaldi17]] – 17-tone chromatic scale |
| <br />
| | |
| POTE generator: ~3/2 = 701.746<br />
| | == Mabilic == |
| <br />
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br />
| | |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| Error: 0.611 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | * [[Mabilic9]] – 9-tone albitonic scale |
| <br />
| | * [[Mabilic16]] – 16-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Nestoria-Photia"></a><!-- ws:end:WikiTextHeadingRule:4 -->Photia</h2>
| | |
| Subgroup 2.3.5.17.19<br />
| | == Indium == |
| Commas: 171/170, 256/255, 324/323<br />
| | {{See also | Subgroup temperaments #Indium }} |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | |
| <br />
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| POTE generator: ~3/2 = 701.470<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | * [[Indium8]] – 8-tone albitonic scale |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | * [[Indium17]] – 17-tone chromatic scale |
| Error: 1.512 cents<br />
| | |
| <br />
| | ; Music |
| <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><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] |
| <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br />
| | |
| <br />
| | == Starlingtet == |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:6 -->Cata</h1>
| | {{See also | Subgroup temperaments #Starlingtet }} |
| Subgroup: 2.3.5.13<br />
| | |
| Commas: 325/324, 625/624<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| <br />
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| POTE generator: ~6/5 = 317.076<br />
| | * [[Starlingtet11]] – 11-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | == Lovecraft == |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br />
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
| Error: 0.735 cents<br />
| | |
| <br />
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/cata15">Fifteen note chromatic scale</a><br />
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br />
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| <br />
| | * [[Lovecraft13]] – 13-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:8 -->Bridgetown</h1>
| | |
| Subgroup: 2.3.11/5.13/5<br />
| | == Blackbirds == |
| Commas: 352/351, 676/675<br />
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabdos</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~15/13 = 248.285<br />
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| <br />
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | |
| Error: 0.8489 cents<br />
| | == Laz == |
| <br />
| | {{See also | Subgroup temperaments #Laz }} |
| <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Laz5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:10 -->Huntington</h1>
| | * [[Laz9]] – 9-tone albitonic scale |
| Subgroup: 2.5.7.13<br />
| | * [[Laz13]] – 13-tone chromatic scale |
| Commas: 640/637, 10985/10976<br />
| | |
| <br />
| | == Myna == |
| POTE generator: ~16/13 = 357.002<br />
| | {{Main| Myna }} |
| <br />
| | {{See also| Starling temperaments #Myna }} |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| Error: 1.036 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br />
| | * [[Myna7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br />
| | * [[Myna11]] – 11-tone albitonic scale |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | * [[Myna15]] – 15-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:12 -->Roulette</h1>
| | == Greeley == |
| Subgroup: 2.5.7.11.13<br />
| | {{See also| Subgroup temperaments #Greeley }} |
| Commas: 176/175, 1375/1372, 640/637<br />
| | |
| Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| <br />
| | |
| POTE generator: ~28/25 = 194.594<br />
| | Scales: |
| <br />
| | * [[Greeley8]] – 8-tone albitonic scale |
| Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br />
| | * [[Greeley15]] – 15-tone chromatic scale |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | |
| Error: 1.363 cents<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] |
| <a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/roulette7">Seven note albitonic scale</a><br />
| | == Ammon == |
| <a class="wiki_link" href="/roulette13">Thirteen note chromatic scale</a><br />
| | {{See also| Subgroup temperaments #Ammon }} |
| <a class="wiki_link" href="/roulette19">Nineteen note mega chromatic scale</a><br />
| | |
| <br />
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:14 -->Baldy</h1>
| | |
| Subgroup: 2.9.5.7.13<br />
| | Scales: |
| Commas: 225/224, 325/325, 640/637<br />
| | * [[Ammon8]] – 8-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
| | * [[Ammon13]] – 13-tone chromatic scale |
| <br />
| | |
| POTE generator: ~9/8 = 204.090<br />
| | == Mothwelltri == |
| <br />
| | {{See also| Subgroup temperaments #Mothwelltri }} |
| Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]<br />
| | |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br />
| | Scales: |
| Error: 1.469 cents<br />
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| <br />
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| <a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br />
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/baldy11">Eleven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br />
| | == Sulis == |
| <br />
| | {{See also| Subgroup temperaments #Sulis }} |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:16 -->Hemif</h1>
| | |
| Subgroup: 2.3.7.11.13<br />
| | Scales: |
| Commas: 144/143, 243/242, 364/363<br />
| | * [[Sulis7]] – 7-tone haplotonic scale |
| Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br />
| | * [[Sulis10]] – 10-tone albitonic scale |
| <br />
| | * [[Sulis13]] – 13-tone chromatic scale |
| POTE generator: ~11/9 = 351.691<br />
| | |
| <br />
| | == Skwares == |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| | {{Main| Squares }} |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| Error: 1.756<br />
| | |
| <br />
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| <a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/hemif10">Ten note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br />
| | * [[Skwares8]] – 8-tone albitonic scale |
| <br />
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:18 -->Radon</h1>
| | * [[Skwares14]] – 14-tone chromatic scale |
| Subgroup: 2.3.7.11<br />
| | |
| Commas: 896/891, 1029/1024<br />
| | == Orwell == |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><br />
| | {{Main| Orwell }} |
| <br />
| | {{See also| Semicomma family #Orwell }} |
| POTE generator: ~8/7 = 234.381<br />
| | |
| <br />
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| | |
| EDOs: 5, 36, 41, 87, 128<br />
| | Scales: |
| Error: 1.781 cents<br />
| | * [[Orwell5]] – 5-tone haplotonic scale |
| <br />
| | * [[Orwell9]] – 9-tone albitonic scale |
| <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
| | * [[Orwell13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
| | == Magicaltet == |
| <br />
| | {{See also| Subgroup temperaments #Magicaltet }} |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:20 -->Pepperoni</h1>
| | |
| Subgroup: 2.3.11/7.13/7<br />
| | Scales: |
| Commas: 352/351, 364/363<br />
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>'s <a class="wiki_link" href="/Pepper%20temperament">pepper temperament</a><br />
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| <br />
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
| POTE generator: ~3/2 = 704.052<br />
| | |
| <br />
| | == Magic == |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | {{Main| Magic }} |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | {{See also| Magic family #Magic }} |
| Error: 2.155 cents<br />
| | |
| <br />
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Magic7]] – 7-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:22 -->Skwares</h1>
| | * [[Magic10]] – 10-tone albitonic scale |
| Subgroup: 2.3.7.11<br />
| | * [[Magic13]] – 13-tone chromatic scale |
| Commas: 99/98, 243/242<br />
| | * [[Magic16]] – 16-tone mega-chromatic scale |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">squares</a><br />
| | |
| <br />
| | == Kiribati == |
| POTE generator: ~9/7 = 425.244<br />
| | {{See also| Subgroup temperaments #Kiribati }} |
| <br />
| | |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| | Scales: |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| | * [[Kiribati13]] – 13-tone chromatic scale |
| Error: 3.009 cents<br />
| | * [[Kiribati14]] – 14-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/skwares8">Eight note albitonic scale</a><br />
| | == Score == |
| <a class="wiki_link" href="/skwares11">Eleven note mega albitonic scale</a><br />
| | {{See also|No-threes subgroup temperaments #Score }} |
| <a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br />
| | |
| <br />
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:24 -->Tutone</h1>
| | |
| Subgroup: 2.9.5.7.11<br />
| | Scales: |
| Commas: 81/80, 99/98, 126/125<br />
| | * [[Score5]] – 5-tone haplotonic scale |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">meantone</a><br />
| | * [[Score7]] – 7-tone albitonic scale |
| <br />
| | * [[Score9]] – 9-tone mega-albitonic scale |
| POTE generator: ~9/8 = 193.937<br />
| | * [[Score11]] – 11-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| | == Sensi == |
| EDOs: 6, 7, 13, 19, 25, 31, 99<br />
| | {{Main| Sensi }} |
| Error: 3.218 cents<br />
| | {{See also| Sensipent family #Sensi }} |
| <br />
| | |
| <a class="wiki_link" href="/tutone6">Six note haplotonic scale</a><br />
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| <a class="wiki_link" href="/tutone7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Tutone-Leantone"></a><!-- ws:end:WikiTextHeadingRule:26 -->Leantone</h2>
| | * [[Sensi8]] – 8-tone albitonic scale |
| Subgroup: 2.9.5.7.11<br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| Commas: 45/44, 56/55, 81/80<br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">flattone</a><br />
| | |
| <br />
| | === Sensation === |
| POTE generator: ~9/8 = 192.500<br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| 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: 8.680 cents<br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/leantone6">Six note haplotonic scale</a><br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <a class="wiki_link" href="/leantone7">Seven note albitonic scale</a><br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| <a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br />
| | |
| <br />
| | == Meantone == |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:28 -->Mohaha</h1>
| | {{Main| Meantone }} |
| Subgroup: 2.3.5.11<br />
| | {{See also| Meantone family #Meantone }} |
| Commas: 81/80, 121/120<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">mohajira</a><br />
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| <br />
| | |
| POTE generator: ~11/9 = 348.094<br />
| | Scales: |
| <br />
| | * [[Meantone5]] – 5-tone haplotonic scale |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| | * [[Meantone7]] – 7-tone albitonic scale |
| EDOs: 7, 10, 17, 24, 31, 131<br />
| | * [[Meantone12]] – 12-tone chromatic scale |
| Error: 3.813 cents<br />
| | |
| <br />
| | == Mohaha == |
| <a class="wiki_link" href="/mohaha7">Seven note albitonic scale</a><br />
| | {{See also| Rastmic clan #Mohaha }} |
| <a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br />
| | |
| <br />
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:30 -->Mohoho</h2>
| | |
| Subgroup: 2.3.5.11.13<br />
| | Scales: |
| Commas: 66/65, 81/80, 121/120<br />
| | * [[Mohaha7]] – 7-tone albitonic scale |
| <br />
| | * [[Mohaha10]] – 10-tone chromatic scale |
| POTE generator: ~11/9 = 348.916<br />
| | |
| <br />
| | Music: |
| Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
| | ; [[Billy Stiltner]] |
| EDOs: 7, 10, 17, 24, 31, 55<br />
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| Error: 4.829 cents<br />
| | |
| <br />
| | === Mohoho === |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:32 -->Score</h1>
| | {{See also| Rastmic clan #Mohoho }} |
| Subgroup: 2.7.11.13<br />
| | |
| Commas: 343/338, 847/832<br />
| | == Joan == |
| <br />
| | {{See also| Subgroup temperaments #Joan }} |
| POTE generator: ~11/8 = 540.099<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| | * [[Joan5]] – 5-tone haplotonic scale |
| EDOs: 5, 7, 9, 11, 20<br />
| | * [[Joan7]] – 7-tone albitonic scale |
| Error: 3.846 cents<br />
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| <br />
| | * [[Joan11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/score5">Five note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/score7">Seven note albitonic scale</a><br />
| | == Tutone == |
| <a class="wiki_link" href="/score9">Nine note mega albitonic scale</a><br />
| | {{See also| Hemimean clan #Tutone }} |
| <a class="wiki_link" href="/score11">Eleven note chromatic scale</a><br />
| | |
| <br />
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:34 -->Supra</h1>
| | |
| Subgroup: 2.3.7.11<br />
| | Scales: |
| Commas: 64/63, 99/98<br />
| | * [[Tutone6]] – 6-tone haplotonic scale |
| Related temperament: <a class="wiki_link" href="/Archytas%20clan">superpyth</a><br />
| | * [[Tutone7]] – 7-tone albitonic scale |
| <br />
| | * [[Tutone13]] – 13-tone chromatic scale |
| POTE generator: ~3/2 = 707.192<br />
| | |
| <br />
| | == Stacks == |
| Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| EDOs: 5, 7, 12, 17, 22, 39, 56<br />
| | |
| Error: 5.414 cents<br />
| | Scales: |
| <br />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/supra7">Seven note albitonic scale</a><br />
| | * [[Stacks8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| <br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h3&gt; --><h3 id="toc18"><a name="Supra--Machine"></a><!-- ws:end:WikiTextHeadingRule:36 -->Machine</h3>
| | |
| Subgroup: 2.9.7.11<br />
| | == Bleu == |
| Commas: 64/63, 99/98<br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| <br />
| | |
| POTE generator: ~9/8 = 214.384<br />
| | Scales: |
| <br />
| | * [[Bleu8]] – 8-tone haplotonic scale |
| Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| EDOs: 5, 6, 11, 17, 28<br />
| | * [[Bleu17]] – 17-tone chromatic scale |
| Error: 5.414 cents<br />
| | |
| <br />
| | == Sephiroth == |
| <a class="wiki_link" href="/machine5">Five note haplotonic scale</a><br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| <a class="wiki_link" href="/machine6">Six note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/machine11">Eleven note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:38 -->Augment</h1>
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| Subgroup: 2.5.7.11<br />
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| Commas: 56/55, 128/125<br />
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| Related temperament: <a class="wiki_link" href="/Augmented%20family">augmented</a><br />
| | |
| <br />
| | == Archy == |
| POTE generator: ~8/7<br />
| | {{Main| Superpyth }} |
| <br />
| | {{See also| Archytas clan #Archy }} |
| Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br />
| | |
| EDOs: 3, 6, 9, 15, 21<br />
| | Scales: |
| Error: 6.632 cents<br />
| | * [[Archy5]] – 5-tone haplotonic scale |
| <br />
| | * [[Archy7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/augment6">Six note haplotonic scale</a><br />
| | * [[Archy12]] – 12-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><br />
| | === Supra === |
| <br />
| | {{Main| Superpyth }} |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:40 -->Greeley</h1>
| | {{See also| Archytas clan #Supra }} |
| Subgroup: 2.5/3.7/3.11/3<br />
| | |
| Commas: 121/120, 126/125<br />
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| <br />
| | |
| POTE generator: ~11/10 = 156.055<br />
| | Scales: |
| <br />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| EDOs: 8, 15, 23, 77, 100<br />
| | |
| Error: 7.555 cents<br />
| | === Supraphon === |
| <br />
| | {{Main| Superpyth }} |
| <a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br />
| | {{See also| Archytas clan #Supraphon }} |
| <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a></body></html></pre></div>
| | |
| | == Suhajira == |
| | {{See also| Archytas clan #Suhajira }} |
| | |
| | Scales: |
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| | * [[Suhajira10]] – 10-tone albitonic scale |
| | * [[Suhajira17]] – 17-tone chromatic scale |
| | |
| | == Machine == |
| | {{See also| Subgroup temperaments #Machine}} |
| | |
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| | |
| | Scales: |
| | * [[Machine5]] – 5-tone haplotonic scale |
| | * [[Machine6]] – 6-tone albitonic scale |
| | * [[Machine11]] – 11-tone chromatic scale |
| | |
| | == Deutone == |
| | {{See also| Hemimean clan #Deutone }} |
| | |
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| | |
| | Scales: |
| | * [[Deutone6]] – 6-tone haplotonic scale |
| | * [[Deutone7]] – 7-tone albitonic scale |
| | * [[Deutone13]] – 13-tone chromatic scale |
| | |
| | == Negra == |
| | {{Main| Negri }} |
| | {{See also| Marvel temperaments #Negri }} |
| | |
| | == Porkypine == |
| | {{Main| Porcupine }} |
| | {{See also| Porcupine family #Porcupine }} |
| | |
| | Scales: |
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| | * [[Porkypine8]] – 8-tone albitonic scale |
| | * [[Porkypine15]] – 15-tone chromatic scale |
| | |
| | == Skateboard == |
| | {{See also| Subgroup temperaments #Skateboard }} |
| | |
| | Scales: |
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| | * [[Skateboard11]] – 11-tone albitonic scale |
| | * [[Skateboard15]] – 15-tone chromatic scale |
| | |
| | == Augment == |
| | {{See also| No-threes subgroup temperaments #Augment }} |
| | |
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| | |
| | Scales: |
| | * [[Augment6]] – 6-tone haplotonic scale |
| | * [[Augment9]] – 9-tone albitonic scale |
| | * [[Augment12]] – 12-tone chromatic scale |
| | |
| | == Semaphore == |
| | {{Main| Semaphore and godzilla }} |
| | {{See also| Semaphoresmic clan #Semaphore }} |
| | |
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| | |
| | Scales: |
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| | * [[Semaphore9]] – 9-tone albitonic scale |
| | * [[Semaphore14]] – 14-tone chromatic scale |
| | |
| | == 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}} |