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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>2011-03-12 01:25:47 UTC</tt>.<br>
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| : The original revision id was <tt>209798180</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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|
| =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]]
| |
| [[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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|
| =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]]
| |
|
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|
| 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 }} |
|
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|
| 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 |
|
| |
|
| =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]]
| |
|
| |
|
| ==Supraphon==
| | Scales |
| Subgroup: 2.3.7.11.13
| | * [[Baldy6]] – 6-tone haplotonic scale |
| Commas: 64/63, 78/77, 99/98
| | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 706.137
| |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | == Guanyintet == |
| EDOs: 5, 7, 12, 17
| | {{See also | Subgroup temperaments #Guanyintet }} |
| Error: 5.132 cents
| |
|
| |
|
| ==Machine==
| | Scales: |
| Subgroup: 2.9.7.11
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Commas: 64/63, 99/98
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | == Radon == |
| | {{See also| Gamelismic clan #Radon }} |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| EDOs: 5, 6, 11, 17, 28
| |
| Error: 5.414 cents
| |
|
| |
|
| [[machine5|Five note haplotonic scale]] | | * [[Radon5]] – 5-tone haplotonic scale |
| [[machine6|Six note albitonic scale]] | | * [[Radon11]] – 11-tone albitonic scale |
| [[machine11|Eleven note chromatic scale]] | | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| =Augment= | | == Gariberttet == |
| Subgroup: 2.5.7.11 | | {{See also | Subgroup temperaments #Gariberttet }} |
| Commas: 56/55, 128/125
| |
| Related temperament: [[Augmented family|augmented]]
| |
|
| |
|
| POTE generator: ~8/7
| | Scales: |
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | == Namo == |
| EDOs: 3, 6, 9, 15, 21
| | {{See also| Rastmic clan #Namo }} |
| Error: 6.632 cents
| |
|
| |
|
| [[augment6|Six note haplotonic scale]] | | Scales: |
| [[augment9|Nine note albitonic scale]] | | * [[Namo7]] – 7-tone haplotonic scale |
| [[augment12|Twelve note chromatic scale]] | | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| =Greeley= | | == Sentry == |
| Subgroup: 2.5/3.7/3.11/3 | | {{See also | Subgroup temperaments #Sentry }} |
| Commas: 121/120, 126/125
| |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | Scales: |
| | * [[Sentry5]] – 5-tone haplotonic scale |
| | * [[Sentry8]] – 8-tone albitonic scale |
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | == Hemif == |
| EDOs: 8, 15, 23, 77, 100
| | {{See also| No-fives subgroup temperaments #Hemif }} |
| Error: 7.555 cents
| |
|
| |
|
| [[greeley8|Eight note albitonic scale]] | | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
| [[greeley15|Fifteen note chromatic scale]] | | |
| </pre></div>
| | Scales: |
| <h4>Original HTML content:</h4>
| | * [[Hemif7]] – 7-tone haplotonic scale |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chromatic pairs</title></head><body>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 />
| | * [[Hemif10]] – 10-tone albitonic scale |
| <br />
| | * [[Hemif17]] – 17-tone chromatic scale |
| <!-- ws:start:WikiTextTocRule:44:&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:44 --><!-- ws:start:WikiTextTocRule:45: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:45 --><!-- ws:start:WikiTextTocRule:46: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: -->
| | |
| <!-- ws:end:WikiTextTocRule:67 --><br />
| | == Garibaldi == |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1>
| | {{Main| Garibaldi temperament }} |
| Subgroup: 2.9/5.9/7<br />
| | {{See also| Schismatic family #Garibaldi }} |
| Commas: 250047/250000<br />
| | |
| <br />
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| POTE generator: ~10/9 = 182.462<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | * [[Garibaldi17]] – 17-tone chromatic scale |
| Error: 0.0859 cents<br />
| | |
| <br />
| | == Mabilic == |
| 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 />
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| <br />
| | |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:2 -->Nestoria</h1>
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| Subgroup: 2.3.5.19<br />
| | * [[Mabilic9]] – 9-tone albitonic scale |
| Commas: 361/360, 513/512<br />
| | * [[Mabilic16]] – 16-tone chromatic scale |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | |
| <br />
| | == Indium == |
| POTE generator: ~3/2 = 701.746<br />
| | {{See also | Subgroup temperaments #Indium }} |
| <br />
| | |
| Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br />
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| | |
| Error: 0.611 cents<br />
| | Scales: |
| <br />
| | * [[Indium8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | * [[Indium17]] – 17-tone chromatic scale |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | |
| <br />
| | ; Music |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Nestoria-Photia"></a><!-- ws:end:WikiTextHeadingRule:4 -->Photia</h2>
| | * ''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] |
| Subgroup 2.3.5.17.19<br />
| | |
| Commas: 171/170, 256/255, 324/323<br />
| | == Starlingtet == |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | {{See also | Subgroup temperaments #Starlingtet }} |
| <br />
| | |
| POTE generator: ~3/2 = 701.470<br />
| | Scales: |
| <br />
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | * [[Starlingtet11]] – 11-tone chromatic scale |
| Error: 1.512 cents<br />
| | |
| <br />
| | == Lovecraft == |
| <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br />
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
| <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br />
| | |
| <br />
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:6 -->Cata</h1>
| | |
| Subgroup: 2.3.5.13<br />
| | Scales: |
| Commas: 325/324, 625/624<br />
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| <br />
| | * [[Lovecraft13]] – 13-tone chromatic scale |
| POTE generator: ~6/5 = 317.076<br />
| | |
| <br />
| | == Blackbirds == |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br />
| | |
| Error: 0.735 cents<br />
| | Scales: |
| <br />
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br />
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| <a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br />
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
| <a class="wiki_link" href="/cata15">Fifteen note chromatic scale</a><br />
| | |
| <a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br />
| | == Laz == |
| <br />
| | {{See also | Subgroup temperaments #Laz }} |
| <!-- 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 />
| | Scales: |
| Commas: 352/351, 676/675<br />
| | * [[Laz5]] – 5-tone haplotonic scale |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabdos</a><br />
| | * [[Laz9]] – 9-tone albitonic scale |
| <br />
| | * [[Laz13]] – 13-tone chromatic scale |
| POTE generator: ~15/13 = 248.285<br />
| | |
| <br />
| | == Myna == |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | {{Main| Myna }} |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | {{See also| Starling temperaments #Myna }} |
| Error: 0.8489 cents<br />
| | |
| <br />
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| <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 />
| | * [[Myna7]] – 7-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:10 -->Huntington</h1>
| | * [[Myna11]] – 11-tone albitonic scale |
| Subgroup: 2.5.7.13<br /> | | * [[Myna15]] – 15-tone chromatic scale |
| Commas: 640/637, 10985/10976<br />
| | |
| <br />
| | == Greeley == |
| POTE generator: ~16/13 = 357.002<br />
| | {{See also| Subgroup temperaments #Greeley }} |
| <br />
| | |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | |
| Error: 1.036 cents<br />
| | Scales: |
| <br />
| | * [[Greeley8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br />
| | * [[Greeley15]] – 15-tone chromatic scale |
| <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | ; 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] |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:12 -->Roulette</h1>
| | |
| Subgroup: 2.5.7.11.13<br />
| | == Ammon == |
| Commas: 176/175, 1375/1372, 640/637<br />
| | {{See also| Subgroup temperaments #Ammon }} |
| Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| | |
| <br />
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| POTE generator: ~28/25 = 194.594<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br />
| | * [[Ammon8]] – 8-tone albitonic scale |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | * [[Ammon13]] – 13-tone chromatic scale |
| Error: 1.363 cents<br />
| | |
| <br />
| | == Mothwelltri == |
| <a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br />
| | {{See also| Subgroup temperaments #Mothwelltri }} |
| <a class="wiki_link" href="/roulette7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/roulette13">Thirteen note chromatic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/roulette19">Nineteen note mega chromatic scale</a><br />
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| <br />
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:14 -->Baldy</h1>
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
| Subgroup: 2.9.5.7.13<br />
| | |
| Commas: 225/224, 325/325, 640/637<br />
| | == Sulis == |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
| | {{See also| Subgroup temperaments #Sulis }} |
| <br />
| | |
| POTE generator: ~9/8 = 204.090<br />
| | Scales: |
| <br />
| | * [[Sulis7]] – 7-tone haplotonic scale |
| Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]<br />
| | * [[Sulis10]] – 10-tone albitonic scale |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br />
| | * [[Sulis13]] – 13-tone chromatic scale |
| Error: 1.469 cents<br />
| | |
| <br />
| | == Skwares == |
| <a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br />
| | {{Main| Squares }} |
| <a class="wiki_link" href="/baldy11">Eleven note albitonic scale</a><br />
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| <a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br />
| | |
| <br />
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| <!-- 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 />
| | * [[Skwares8]] – 8-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br />
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Skwares14]] – 14-tone chromatic scale |
| POTE generator: ~11/9 = 351.691<br />
| | |
| <br />
| | == Orwell == |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| | {{Main| Orwell }} |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| | {{See also| Semicomma family #Orwell }} |
| Error: 1.756<br />
| | |
| <br />
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| <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 />
| | * [[Orwell5]] – 5-tone haplotonic scale |
| <br />
| | * [[Orwell9]] – 9-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:18 -->Radon</h1>
| | * [[Orwell13]] – 13-tone chromatic scale |
| Subgroup: 2.3.7.11<br />
| | |
| Commas: 896/891, 1029/1024<br />
| | == Magicaltet == |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><br />
| | {{See also| Subgroup temperaments #Magicaltet }} |
| <br />
| | |
| POTE generator: ~8/7 = 234.381<br />
| | Scales: |
| <br />
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| EDOs: 5, 36, 41, 87, 128<br />
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
| Error: 1.781 cents<br />
| | |
| <br />
| | == Magic == |
| <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
| | {{Main| Magic }} |
| <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
| | {{See also| Magic family #Magic }} |
| <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
| | |
| <br />
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| <!-- 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 />
| | * [[Magic7]] – 7-tone haplotonic 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 />
| | * [[Magic10]] – 10-tone albitonic scale |
| <br />
| | * [[Magic13]] – 13-tone chromatic scale |
| POTE generator: ~3/2 = 704.052<br />
| | * [[Magic16]] – 16-tone mega-chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | == Kiribati == |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | {{See also| Subgroup temperaments #Kiribati }} |
| Error: 2.155 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | * [[Kiribati13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | * [[Kiribati14]] – 14-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:22 -->Skwares</h1>
| | == Score == |
| Subgroup: 2.3.7.11<br />
| | {{See also|No-threes subgroup temperaments #Score }} |
| Commas: 99/98, 243/242<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">squares</a><br />
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| <br />
| | |
| POTE generator: ~9/7 = 425.244<br />
| | Scales: |
| <br />
| | * [[Score5]] – 5-tone haplotonic scale |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| | * [[Score7]] – 7-tone albitonic scale |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| | * [[Score9]] – 9-tone mega-albitonic scale |
| Error: 3.009 cents<br />
| | * [[Score11]] – 11-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/skwares8">Eight note albitonic scale</a><br />
| | == Sensi == |
| <a class="wiki_link" href="/skwares11">Eleven note mega albitonic scale</a><br />
| | {{Main| Sensi }} |
| <a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br />
| | {{See also| Sensipent family #Sensi }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:24 -->Tutone</h1>
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| Subgroup: 2.9.5.7.11<br />
| | |
| Commas: 81/80, 99/98, 126/125<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">meantone</a><br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| POTE generator: ~9/8 = 193.937<br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| | |
| EDOs: 6, 7, 13, 19, 25, 31, 99<br />
| | === Sensation === |
| Error: 3.218 cents<br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| <a class="wiki_link" href="/tutone6">Six note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/tutone7">Seven note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Tutone-Leantone"></a><!-- ws:end:WikiTextHeadingRule:26 -->Leantone</h2>
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| Subgroup: 2.9.5.7.11<br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| Commas: 45/44, 56/55, 81/80<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">flattone</a><br />
| | == Meantone == |
| <br />
| | {{Main| Meantone }} |
| POTE generator: ~9/8 = 192.500<br />
| | {{See also| Meantone family #Meantone }} |
| <br />
| | |
| Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
| | |
| Error: 8.680 cents<br />
| | Scales: |
| <br />
| | * [[Meantone5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/leantone6">Six note haplotonic scale</a><br />
| | * [[Meantone7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/leantone7">Seven note albitonic scale</a><br />
| | * [[Meantone12]] – 12-tone chromatic scale |
| <a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br />
| | |
| <br />
| | == Mohaha == |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:28 -->Mohaha</h1>
| | {{See also| Rastmic clan #Mohaha }} |
| Subgroup: 2.3.5.11<br />
| | |
| Commas: 81/80, 121/120<br />
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">mohajira</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~11/9 = 348.094<br />
| | * [[Mohaha7]] – 7-tone albitonic scale |
| <br />
| | * [[Mohaha10]] – 10-tone chromatic scale |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| | |
| EDOs: 7, 10, 17, 24, 31, 131<br />
| | Music: |
| Error: 3.813 cents<br />
| | ; [[Billy Stiltner]] |
| <br />
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| <a class="wiki_link" href="/mohaha7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br />
| | === Mohoho === |
| <br />
| | {{See also| Rastmic clan #Mohoho }} |
| <!-- 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 />
| | == Joan == |
| Commas: 66/65, 81/80, 121/120<br />
| | {{See also| Subgroup temperaments #Joan }} |
| <br />
| | |
| POTE generator: ~11/9 = 348.916<br />
| | Scales: |
| <br />
| | * [[Joan5]] – 5-tone haplotonic scale |
| Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
| | * [[Joan7]] – 7-tone albitonic scale |
| EDOs: 7, 10, 17, 24, 31, 55<br />
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| Error: 4.829 cents<br />
| | * [[Joan11]] – 11-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:32 -->Score</h1>
| | == Tutone == |
| Subgroup: 2.7.11.13<br />
| | {{See also| Hemimean clan #Tutone }} |
| Commas: 343/338, 847/832<br />
| | |
| <br />
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| POTE generator: ~11/8 = 540.099<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| | * [[Tutone6]] – 6-tone haplotonic scale |
| EDOs: 5, 7, 9, 11, 20<br />
| | * [[Tutone7]] – 7-tone albitonic scale |
| Error: 3.846 cents<br />
| | * [[Tutone13]] – 13-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/score5">Five note haplotonic scale</a><br />
| | == Stacks == |
| <a class="wiki_link" href="/score7">Seven note albitonic scale</a><br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| <a class="wiki_link" href="/score9">Nine note mega albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/score11">Eleven note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:34 -->Supra</h1>
| | * [[Stacks8]] – 8-tone albitonic scale |
| Subgroup: 2.3.7.11<br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| Commas: 64/63, 99/98<br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| Related temperament: <a class="wiki_link" href="/Archytas%20clan">superpyth</a><br />
| | |
| <br />
| | == Bleu == |
| POTE generator: ~3/2 = 707.192<br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| <br />
| | |
| Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
| | Scales: |
| EDOs: 5, 7, 12, 17, 22, 39, 56<br />
| | * [[Bleu8]] – 8-tone haplotonic scale |
| Error: 5.414 cents<br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| <br />
| | * [[Bleu17]] – 17-tone chromatic scale |
| <a class="wiki_link" href="/supra7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br />
| | == Sephiroth == |
| <br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:36 -->Supraphon</h2>
| | |
| Subgroup: 2.3.7.11.13<br />
| | Scales: |
| Commas: 64/63, 78/77, 99/98<br />
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| <br />
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| POTE generator: ~3/2 = 706.137<br />
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| <br />
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br />
| | |
| EDOs: 5, 7, 12, 17<br />
| | == Archy == |
| Error: 5.132 cents<br />
| | {{Main| Superpyth }} |
| <br />
| | {{See also| Archytas clan #Archy }} |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:38 -->Machine</h2>
| | |
| Subgroup: 2.9.7.11<br />
| | Scales: |
| Commas: 64/63, 99/98<br />
| | * [[Archy5]] – 5-tone haplotonic scale |
| <br />
| | * [[Archy7]] – 7-tone albitonic scale |
| POTE generator: ~9/8 = 214.384<br />
| | * [[Archy12]] – 12-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
| | === Supra === |
| EDOs: 5, 6, 11, 17, 28<br />
| | {{Main| Superpyth }} |
| Error: 5.414 cents<br />
| | {{See also| Archytas clan #Supra }} |
| <br />
| | |
| <a class="wiki_link" href="/machine5">Five note haplotonic scale</a><br />
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| <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 />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:40 -->Augment</h1>
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| Subgroup: 2.5.7.11<br />
| | |
| Commas: 56/55, 128/125<br />
| | === Supraphon === |
| Related temperament: <a class="wiki_link" href="/Augmented%20family">augmented</a><br />
| | {{Main| Superpyth }} |
| <br />
| | {{See also| Archytas clan #Supraphon }} |
| POTE generator: ~8/7<br />
| | |
| <br />
| | == Suhajira == |
| Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br />
| | {{See also| Archytas clan #Suhajira }} |
| EDOs: 3, 6, 9, 15, 21<br />
| | |
| Error: 6.632 cents<br />
| | Scales: |
| <br />
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="/augment6">Six note haplotonic scale</a><br />
| | * [[Suhajira10]] – 10-tone albitonic scale |
| <a class="wiki_link" href="/augment9">Nine note albitonic scale</a><br />
| | * [[Suhajira17]] – 17-tone chromatic scale |
| <a class="wiki_link" href="/augment12">Twelve note chromatic scale</a><br />
| | |
| <br />
| | == Machine == |
| <!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:42 -->Greeley</h1>
| | {{See also| Subgroup temperaments #Machine}} |
| Subgroup: 2.5/3.7/3.11/3<br />
| | |
| Commas: 121/120, 126/125<br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| <br />
| | |
| POTE generator: ~11/10 = 156.055<br />
| | Scales: |
| <br />
| | * [[Machine5]] – 5-tone haplotonic scale |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| | * [[Machine6]] – 6-tone albitonic scale |
| EDOs: 8, 15, 23, 77, 100<br />
| | * [[Machine11]] – 11-tone chromatic scale |
| Error: 7.555 cents<br />
| | |
| <br />
| | == Deutone == |
| <a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br />
| | {{See also| Hemimean clan #Deutone }} |
| <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a></body></html></pre></div>
| | |
| | [[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}} |