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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 14:04:26 UTC</tt>.<br>
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| : The original revision id was <tt>209871696</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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| Related temperament: [[Minortonic family#Domain|domain]]
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| POTE generator: ~10/9 = 182.462
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| Map: [<3 0 -4|, <0 1 2|]
| | [[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]] |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
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| Error: 0.0859 cents
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| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
| | Scales: |
| | * [[Terrain9]] – 9-tone albitonic scale |
| | * [[Terrain15]] – 15-tone chromatic scale |
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| [[terrain9|Nine note albitonic scale]] | | ; Music |
| [[terrain15|Fifteen note chromatic scale]] | | * ''5 5 1 mode of 33 equal'' (2013) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ blog] | [https://www.youtube.com/watch?v=2gYdUOPHXSQ YouTube] | [https://web.archive.org/web/20201127015117/http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play] |
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| =Nestoria= | | == Petrtri == |
| Subgroup: 2.3.5.19 | | {{See also| Subgroup temperaments #Petrtri }} |
| Commas: 361/360, 513/512
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| Related temperament: [[Schismatic family|schismatic]]
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| POTE generator: ~3/2 = 701.746
| | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
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| Map: [<1 0 15 9], <0 1 -8 -3|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | * [[Petrtri5]] – 5-tone haplotonic scale |
| Error: 0.611 cents
| | * [[Petrtri8]] – 8-tone albitonic scale |
| | * [[Petrtri13]] – 13-tone chromatic scale |
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| [[nestoria7|Seven note albitonic scale]] | | == Barton == |
| [[nestoria12|Twelve note chromatic scale]]
| | {{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}} |
| | {{See also| The Jacobins #Barton }} |
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| ==Photia==
| | Scales: |
| Subgroup 2.3.5.17.19
| | * [[Barton5]] – 5-tone haplotonic scale |
| Commas: 171/170, 256/255, 324/323
| | * [[Barton7]] – 7-tone albitonic scale |
| Related temperament: [[Schismatic family|schismatic]]
| | * [[Barton9]] – 9-tone mega-albitonic scale |
| | * [[Barton11]] – 11-tone chromatic scale |
| | * [[Barton13]] – 13-tone mega-chromatic scale |
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| POTE generator: ~3/2 = 701.470
| | == Tridec == |
| | {{See also| Subgroup temperaments #Tridec }} |
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| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
| EDOs: 7, 12, 17, 29, 41, 53, 65
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| Error: 1.512 cents
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| [[photia7|Seven note albitonic scale]] | | Scales: |
| [[photia12|Twelve note chromatic scale]] | | * [[Tridec8]] – 8-tone albitonic scale |
| | * [[Tridec13]] – 13-tone chromatic scale |
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| =Cata= | | == Nestoria == |
| Subgroup: 2.3.5.13
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
| Commas: 325/324, 625/624
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| Related temperament: [[Kleismic family|catakleismic]]
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| POTE generator: ~6/5 = 317.076
| | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
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| Map: [<1 0 1 0|, <0 6 5 14|]
| | Scales: |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
| | * [[Nestoria7]] – 7-tone albitonic scale |
| Error: 0.735 cents
| | * [[Nestoria12]] – 12-tone chromatic scale |
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
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| [[cata7|Seven note albitonic scale]]
| | == Orgone == |
| [[cata11|Eleven note mega albitonic scale]]
| | {{Main| Orgone }} |
| [[cata15|Fifteen note chromatic scale]]
| | {{See also| Orgonia #Orgone }} |
| [[cata19|Nineteen note mega chromatic scale]]
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| =Bridgetown=
| | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
| Subgroup: 2.3.11/5.13/5
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| Commas: 352/351, 676/675
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| Related temperament: [[The Archipelago|barabdos]]
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| POTE generator: ~15/13 = 248.285
| | Scales: |
| | * [[Orgone7]] – 7-tone albitonic scale |
| | * [[Orgone11]] – 11-tone chromatic scale |
| | * [[Orgone15]] – 15-tone mega-chromatic scale |
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| Map: [<1 0 -6 -1|, <0 2 9 3|]
| | == Marveltwintri == |
| EDOs: 5, 9, 14, 19, 24, 29
| | {{See also| Subgroup temperaments #Marveltwintri }} |
| Error: 0.8489 cents
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| [[bridgetown9|Nine note albitonic scale]] | | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
| [[bridgetown14|Fourteen note chromatic scale]]
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| =Huntington=
| | Scales: |
| Subgroup: 2.5.7.13
| | * [[Marveltwintri7]] – 7-tone albitonic scale |
| Commas: 640/637, 10985/10976
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
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| POTE generator: ~16/13 = 357.002
| | == Cata == |
| | {{Main| Kleismic }} |
| | {{See also| Kleismic family #Cata }} |
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| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
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| Error: 1.036 cents
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| [[huntington7|Seven note haplotonic scale]] | | Scales: |
| [[huntington10|Ten note albitonic scale]] | | * [[Cata7]] – 7-tone albitonic scale |
| [[huntington17|Seventeen note chromatic scale]] | | * [[Cata11]] – 11-tone mega-albitonic scale |
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
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| =Roulette= | | == Bridgetown == |
| Subgroup: 2.5.7.11.13 | | {{See also| Subgroup temperaments #Bridgetown }} |
| Commas: 176/175, 1375/1372, 640/637
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| Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]
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| POTE generator: ~28/25 = 194.594
| | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
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| Map: [<1 0 -3 -7 -13|, <0 2 5 9 -8|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| | * [[Bridgetown9]] – 9-tone albitonic scale |
| Error: 1.363 cents
| | * [[Bridgetown14]] – 14-tone chromatic scale |
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| [[roulette6|Six note haplotonic scale]] | | ; Music |
| [[roulette7|Seven note albitonic scale]] | | * [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]] |
| [[roulette13|Thirteen note chromatic scale]] | | * ''Route 14 in Bridgetown'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 play] – in Bridgetown[14] for flute, bassoons, and contra-bassoon |
| [[roulette19|Nineteen note mega chromatic scale]] | |
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| =Baldy= | | == Haumea == |
| Subgroup: 2.9.5.7.13 | | {{See also| Subgroup temperaments #Haumea }} |
| Commas: 225/224, 325/325, 640/637
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| Related temperament: [[Schismatic family|Garibaldi]]
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| POTE generator: ~9/8 = 204.090
| | Scales: |
| | * [[Haumea5]] – 5-tone haplotonic scale |
| | * [[Haumea9]] – 9-tone albitonic scale |
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
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| Map: [<1 0 15 25 -8|, <0 1 -4 -7 10|]
| | == Neutral == |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
| | {{See also| Rastmic clan #Neutral }} |
| Error: 1.469 cents
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| [[baldy6|Six note haplotonic scale]] | | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| [[baldy11|Eleven note albitonic scale]]
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| [[baldy17|Seventeen note chromatic scale]]
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| =Hemif=
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Neutral7]] – 7-tone albitonic scale |
| Commas: 144/143, 243/242, 364/363
| | * [[Neutral10]] – 10-tone chromatic scale |
| Related temperament: [[Breedsmic temperaments|Hemififths]]
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
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| POTE generator: ~11/9 = 351.691
| | ; Music |
| | * [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning |
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| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | == Slendric == |
| EDOs: 7, 10, 17, 24, 41, 58
| | {{Main| Slendric }} |
| Error: 1.756
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
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| [[hemif7|Seven note haplotonic scale]] | | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| [[hemif10|Ten note albitonic scale]]
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| [[hemif17|Seventeen note chromatic scale]]
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| =Radon=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Slendric5]] – 5-tone haplotonic scale |
| Commas: 896/891, 1029/1024
| | * [[Slendric6]] – 6-tone haplotonic scale |
| Related temperament: [[Gamelismic clan|Rodan]]
| | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
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| POTE generator: ~8/7 = 234.381
| | == Huntington == |
| | {{See also| No-threes subgroup temperaments #Huntington }} |
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| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
| EDOs: 5, 36, 41, 87, 128
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| Error: 1.781 cents
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| [[radon5|Five note haplotonic scale]] | | Scales: |
| [[radon11|Eleven note albitonic scale]] | | * [[Huntington7]] – 7-tone haplotonic scale |
| [[radon16|Sixteen note chromatic scale]] | | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
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| =Pepperoni= | | == Tobago == |
| Subgroup: 2.3.11/7.13/7 | | {{See also| Subgroup temperaments #Tobago }} |
| Commas: 352/351, 364/363
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| Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]]
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| POTE generator: ~3/2 = 704.052
| | Scales: |
| | * [[Tobago6]] – 6-tone haplotonic scale |
| | * [[Tobago10]] – 10-tone albitonic scale |
| | * [[Tobago14]] – 14-tone chromatic scale |
| | * [[Tobago24]] – 24-tone quatertone scale |
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| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | == Pepperoni == |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| | {{See also| Parapyth }} |
| Error: 2.155 cents
| | {{See also| Subgroup temperaments #Pepperoni }} |
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| [[pepperoni7|Seven note albitonic scale]] | | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| [[pepperoni12|Twelve note chromatic scale]]
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| =Skwares=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Pepperoni7]] – 7-tone albitonic scale |
| Commas: 99/98, 243/242
| | * [[Pepperoni12]] – 12-tone chromatic scale |
| Related temperament: [[Meantone family|squares]]
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| POTE generator: ~9/7 = 425.244
| | == Wizz == |
| | {{See also| No-threes subgroup temperaments #Wizz }} |
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| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | Scales: |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | * [[Wizz6]] – 6-tone haplotonic scale |
| Error: 3.009 cents
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
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| [[skwares8|Eight note albitonic scale]]
| | == Bossier == |
| [[skwares11|Eleven note mega albitonic scale]]
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| [[skwares14|Fourteen note chromatic scale]]
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| =Tutone=
| | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| Subgroup: 2.9.5.7.11
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| Commas: 81/80, 99/98, 126/125
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| Related temperament: [[Meantone family|meantone]]
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| POTE generator: ~9/8 = 193.937
| | Scales: |
| | * [[Bossier8]] – 8-tone albitonic scale |
| | * [[Bossier11]] – 11-tone chromatic scale |
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
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| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | == Penta a.k.a. mechanism == |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
| Error: 3.218 cents
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| [[tutone6|Six note haplotonic scale]] | | Scales: |
| [[tutone7|Seven note albitonic scale]] | | * [[Penta5]] – 5-tone haplotonic scale |
| [[tutone13|Thirteen note chromatic scale]] | | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
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| ==Leantone== | | == Bluebirds == |
| Subgroup: 2.9.5.7.11
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| Commas: 45/44, 56/55, 81/80
| |
| Related temperament: [[Meantone family|flattone]]
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| POTE generator: ~9/8 = 192.500
| | Scales: |
| | * [[Bluebirds6]] – 6-tone haplotonic scale |
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| | * [[Bluebirds13]] – 13-tone chromatic scale |
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| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | == Marveltri == |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| | {{See also| Subgroup temperaments #Marveltri }} |
| Error: 8.680 cents
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| [[leantone6|Six note haplotonic scale]] | | Scales: |
| [[leantone7|Seven note albitonic scale]] | | * [[Marveltri7]] – 7-tone albitonic scale |
| [[leantone13|Thirteen note chromatic scale]] | | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
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| =Mohaha= | | == Edson == |
| Subgroup: 2.3.5.11 | | {{See also| Subgroup temperaments #Edson }} |
| Commas: 81/80, 121/120
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| Related temperament: [[Meantone family|mohajira]]
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| POTE generator: ~11/9 = 348.094
| | Scales: |
| | * [[Edson5]] – 5-tone haplotonic scale |
| | * [[Edson7]] – 7-tone albitonic scale |
| | * [[Edson12]] – 12-tone chromatic scale |
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
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| Map: [<1 1 0 2|, <0 2 8 5|]
| | == Photia == |
| EDOs: 7, 10, 17, 24, 31, 131
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
| Error: 3.813 cents
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| [[mohaha7|Seven note albitonic scale]] | | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| [[mohaha10|Ten note chromatic scale]]
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| ==Mohoho==
| | Scales: |
| Subgroup: 2.3.5.11.13
| | * [[Photia7]] – 7-tone albitonic scale |
| Commas: 66/65, 81/80, 121/120
| | * [[Photia12]] – 12-tone chromatic scale |
|
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| POTE generator: ~11/9 = 348.916
| | == Shoe a.k.a. llywelyn == |
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
|
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|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
| EDOs: 7, 10, 17, 24, 31, 55
| |
| Error: 4.829 cents
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|
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| =Score=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| Commas: 343/338, 847/832
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | == Roulette == |
| | {{See also | Hemimean clan #Roulette }} |
|
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| Map: [<1 1 3 1|, <0 4 1 6|]
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| EDOs: 5, 7, 9, 11, 20
| |
| Error: 3.846 cents
| |
|
| |
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| [[score5|Five note haplotonic scale]] | | Scales: |
| [[score7|Seven note albitonic scale]] | | * [[Roulette6]] – 6-tone haplotonic scale |
| [[score9|Nine note mega albitonic scale]] | | * [[Roulette7]] – 7-tone albitonic scale |
| [[score11|Eleven note chromatic scale]] | | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
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| =Supra= | | == Silver == |
| Subgroup: 2.3.7.11
| | {{See also | No-threes subgroup temperaments #Silver }} |
| Commas: 64/63, 99/98
| |
| Related temperament: [[Archytas clan|superpyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | Scales: |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| | * [[Silver7]] – 7-tone haplotonic scale |
| Error: 5.414 cents
| | * [[Silver10]] – 10-tone albitonic scale |
| | * [[Silver17]] – 17-tone chromatic scale |
|
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|
| [[supra7|Seven note albitonic scale]]
| | == Baldy == |
| [[supra12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Baldy }} |
|
| |
|
| ==Supraphon==
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
| Subgroup: 2.3.7.11.13
| |
| Commas: 64/63, 78/77, 99/98
| |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | Scales |
| | * [[Baldy6]] – 6-tone haplotonic scale |
| | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| |
| EDOs: 5, 7, 12, 17
| |
| Error: 5.132 cents
| |
|
| |
|
| ==Machine== | | == Guanyintet == |
| Subgroup: 2.9.7.11 | | {{See also | Subgroup temperaments #Guanyintet }} |
| Commas: 64/63, 99/98
| |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | Scales: |
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | == Radon == |
| EDOs: 5, 6, 11, 17, 28
| | {{See also| Gamelismic clan #Radon }} |
| Error: 5.414 cents
| |
|
| |
|
| [[machine5|Five note haplotonic scale]] | | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| [[machine6|Six note albitonic scale]]
| |
| [[machine11|Eleven note chromatic scale]]
| |
|
| |
|
| =Augment=
| | * [[Radon5]] – 5-tone haplotonic scale |
| Subgroup: 2.5.7.11
| | * [[Radon11]] – 11-tone albitonic scale |
| Commas: 56/55, 128/125
| | * [[Radon16]] – 16-tone chromatic scale |
| Related temperament: [[Augmented family|augmented]]
| |
|
| |
|
| POTE generator: ~8/7
| | == Gariberttet == |
| | {{See also | Subgroup temperaments #Gariberttet }} |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | Scales: |
| EDOs: 3, 6, 9, 15, 21
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Error: 6.632 cents
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| [[augment6|Six note haplotonic scale]]
| | == Namo == |
| [[augment9|Nine note albitonic scale]]
| | {{See also| Rastmic clan #Namo }} |
| [[augment12|Twelve note chromatic scale]]
| |
|
| |
|
| =Greeley=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3
| | * [[Namo7]] – 7-tone haplotonic scale |
| Commas: 121/120, 126/125
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | == Sentry == |
| | {{See also | Subgroup temperaments #Sentry }} |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | Scales: |
| EDOs: 8, 15, 23, 77, 100
| | * [[Sentry5]] – 5-tone haplotonic scale |
| Error: 7.555 cents
| | * [[Sentry8]] – 8-tone albitonic scale |
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| [[greeley8|Eight note albitonic scale]]
| | == Hemif == |
| [[greeley15|Fifteen note chromatic scale]] | | {{See also| No-fives subgroup temperaments #Hemif }} |
| </pre></div>
| | |
| <h4>Original HTML content:</h4>
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
| <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 />
| | |
| <br />
| | Scales: |
| <!-- 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: -->
| | * [[Hemif7]] – 7-tone haplotonic scale |
| <!-- ws:end:WikiTextTocRule:67 --><br />
| | * [[Hemif10]] – 10-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1>
| | * [[Hemif17]] – 17-tone chromatic scale |
| Subgroup: 2.9/5.9/7<br />
| | |
| Commas: 250047/250000<br />
| | == Garibaldi == |
| Related temperament: <a class="wiki_link" href="/Minortonic%20family#Domain">domain</a><br />
| | {{Main| Garibaldi temperament }} |
| POTE generator: ~10/9 = 182.462<br />
| | {{See also| Schismatic family #Garibaldi }} |
| <br />
| | |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | |
| Error: 0.0859 cents<br />
| | Scales: |
| <br />
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| 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 />
| | * [[Garibaldi17]] – 17-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | == Mabilic == |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:2 -->Nestoria</h1>
| | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| Subgroup: 2.3.5.19<br />
| | |
| Commas: 361/360, 513/512<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| <br />
| | * [[Mabilic9]] – 9-tone albitonic scale |
| POTE generator: ~3/2 = 701.746<br />
| | * [[Mabilic16]] – 16-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br />
| | == Indium == |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| | {{See also | Subgroup temperaments #Indium }} |
| Error: 0.611 cents<br />
| | |
| <br />
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Indium8]] – 8-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Nestoria-Photia"></a><!-- ws:end:WikiTextHeadingRule:4 -->Photia</h2>
| | * [[Indium17]] – 17-tone chromatic scale |
| Subgroup 2.3.5.17.19<br /> | | |
| Commas: 171/170, 256/255, 324/323<br />
| | ; Music |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</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] |
| <br />
| | |
| POTE generator: ~3/2 = 701.470<br />
| | == Starlingtet == |
| <br />
| | {{See also | Subgroup temperaments #Starlingtet }} |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | Scales: |
| Error: 1.512 cents<br />
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| <br />
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br />
| | * [[Starlingtet11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br />
| | |
| <br />
| | == Lovecraft == |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:6 -->Cata</h1>
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
| Subgroup: 2.3.5.13<br /> | | |
| Commas: 325/324, 625/624<br />
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~6/5 = 317.076<br />
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| <br />
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | * [[Lovecraft13]] – 13-tone chromatic scale |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br />
| | |
| Error: 0.735 cents<br />
| | == Blackbirds == |
| <br />
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| <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 />
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br />
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| <br />
| | * [[Blackbirds16]] – 16-tone mega-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 />
| | == Laz == |
| Commas: 352/351, 676/675<br />
| | {{See also | Subgroup temperaments #Laz }} |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabdos</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~15/13 = 248.285<br />
| | * [[Laz5]] – 5-tone haplotonic scale |
| <br />
| | * [[Laz9]] – 9-tone albitonic scale |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | * [[Laz13]] – 13-tone chromatic scale |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | |
| Error: 0.8489 cents<br />
| | == Myna == |
| <br />
| | {{Main| Myna }} |
| <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
| | {{See also| Starling temperaments #Myna }} |
| <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
| | |
| <br />
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:10 -->Huntington</h1>
| | |
| Subgroup: 2.5.7.13<br />
| | Scales: |
| Commas: 640/637, 10985/10976<br />
| | * [[Myna7]] – 7-tone haplotonic scale |
| <br />
| | * [[Myna11]] – 11-tone albitonic scale |
| POTE generator: ~16/13 = 357.002<br />
| | * [[Myna15]] – 15-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | == Greeley == |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | {{See also| Subgroup temperaments #Greeley }} |
| Error: 1.036 cents<br />
| | |
| <br />
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | * [[Greeley8]] – 8-tone albitonic scale |
| <br />
| | * [[Greeley15]] – 15-tone chromatic scale |
| <!-- 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 />
| | ; Music |
| Commas: 176/175, 1375/1372, 640/637<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] |
| Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| | |
| <br />
| | == Ammon == |
| POTE generator: ~28/25 = 194.594<br />
| | {{See also| Subgroup temperaments #Ammon }} |
| <br />
| | |
| Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br />
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | |
| Error: 1.363 cents<br />
| | Scales: |
| <br />
| | * [[Ammon8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br />
| | * [[Ammon13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/roulette7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/roulette13">Thirteen note chromatic scale</a><br />
| | == Mothwelltri == |
| <a class="wiki_link" href="/roulette19">Nineteen note mega chromatic scale</a><br />
| | {{See also| Subgroup temperaments #Mothwelltri }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:14 -->Baldy</h1>
| | Scales: |
| Subgroup: 2.9.5.7.13<br />
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| Commas: 225/224, 325/325, 640/637<br />
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
| <br />
| | |
| POTE generator: ~9/8 = 204.090<br />
| | == Sulis == |
| <br />
| | {{See also| Subgroup temperaments #Sulis }} |
| 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 />
| | * [[Sulis7]] – 7-tone haplotonic scale |
| <br />
| | * [[Sulis10]] – 10-tone albitonic scale |
| <a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br />
| | * [[Sulis13]] – 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 />
| | == Skwares == |
| <br />
| | {{Main| Squares }} |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:16 -->Hemif</h1>
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| Subgroup: 2.3.7.11.13<br />
| | |
| Commas: 144/143, 243/242, 364/363<br />
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~11/9 = 351.691<br />
| | * [[Skwares8]] – 8-tone albitonic scale |
| <br />
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| | * [[Skwares14]] – 14-tone chromatic scale |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| | |
| Error: 1.756<br />
| | == Orwell == |
| <br />
| | {{Main| Orwell }} |
| <a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br />
| | {{See also| Semicomma family #Orwell }} |
| <a class="wiki_link" href="/hemif10">Ten note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br />
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:18 -->Radon</h1>
| | Scales: |
| Subgroup: 2.3.7.11<br />
| | * [[Orwell5]] – 5-tone haplotonic scale |
| Commas: 896/891, 1029/1024<br />
| | * [[Orwell9]] – 9-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><br />
| | * [[Orwell13]] – 13-tone chromatic scale |
| <br />
| | |
| POTE generator: ~8/7 = 234.381<br />
| | == Magicaltet == |
| <br />
| | {{See also| Subgroup temperaments #Magicaltet }} |
| 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 />
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| <br />
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
| | * [[Magicaltet15]] – 15-tone mega-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 />
| | == Magic == |
| <br />
| | {{Main| Magic }} |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:20 -->Pepperoni</h1>
| | {{See also| Magic family #Magic }} |
| Subgroup: 2.3.11/7.13/7<br />
| | |
| Commas: 352/351, 364/363<br />
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| Related temperament: <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>'s <a class="wiki_link" href="/Pepper%20temperament">pepper temperament</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~3/2 = 704.052<br />
| | * [[Magic7]] – 7-tone haplotonic scale |
| <br />
| | * [[Magic10]] – 10-tone albitonic scale |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | * [[Magic13]] – 13-tone chromatic scale |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | * [[Magic16]] – 16-tone mega-chromatic scale |
| Error: 2.155 cents<br />
| | |
| <br />
| | == Kiribati == |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | {{See also| Subgroup temperaments #Kiribati }} |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:22 -->Skwares</h1>
| | * [[Kiribati13]] – 13-tone chromatic scale |
| Subgroup: 2.3.7.11<br />
| | * [[Kiribati14]] – 14-tone chromatic scale |
| Commas: 99/98, 243/242<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">squares</a><br />
| | == Score == |
| <br />
| | {{See also|No-threes subgroup temperaments #Score }} |
| POTE generator: ~9/7 = 425.244<br />
| | |
| <br />
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| | |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| | Scales: |
| Error: 3.009 cents<br />
| | * [[Score5]] – 5-tone haplotonic scale |
| <br />
| | * [[Score7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/skwares8">Eight note albitonic scale</a><br />
| | * [[Score9]] – 9-tone mega-albitonic scale |
| <a class="wiki_link" href="/skwares11">Eleven note mega albitonic scale</a><br />
| | * [[Score11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br />
| | |
| <br />
| | == Sensi == |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:24 -->Tutone</h1>
| | {{Main| Sensi }} |
| Subgroup: 2.9.5.7.11<br />
| | {{See also| Sensipent family #Sensi }} |
| Commas: 81/80, 99/98, 126/125<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">meantone</a><br />
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| <br />
| | |
| POTE generator: ~9/8 = 193.937<br />
| | Scales: |
| <br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| EDOs: 6, 7, 13, 19, 25, 31, 99<br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| Error: 3.218 cents<br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/tutone6">Six note haplotonic scale</a><br />
| | === Sensation === |
| <a class="wiki_link" href="/tutone7">Seven note albitonic scale</a><br />
| | {{Main| Sensi }} |
| <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br />
| | {{See also| Sensipent family #Sensi }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Tutone-Leantone"></a><!-- ws:end:WikiTextHeadingRule:26 -->Leantone</h2>
| | Scales: |
| Subgroup: 2.9.5.7.11<br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Commas: 45/44, 56/55, 81/80<br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">flattone</a><br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| POTE generator: ~9/8 = 192.500<br />
| | |
| <br />
| | == Meantone == |
| Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
| | {{Main| Meantone }} |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
| | {{See also| Meantone family #Meantone }} |
| Error: 8.680 cents<br />
| | |
| <br />
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| <a class="wiki_link" href="/leantone6">Six note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/leantone7">Seven note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br />
| | * [[Meantone5]] – 5-tone haplotonic scale |
| <br />
| | * [[Meantone7]] – 7-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:28 -->Mohaha</h1>
| | * [[Meantone12]] – 12-tone chromatic scale |
| Subgroup: 2.3.5.11<br />
| | |
| Commas: 81/80, 121/120<br />
| | == Mohaha == |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">mohajira</a><br />
| | {{See also| Rastmic clan #Mohaha }} |
| <br />
| | |
| POTE generator: ~11/9 = 348.094<br />
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| <br />
| | |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| | Scales: |
| EDOs: 7, 10, 17, 24, 31, 131<br />
| | * [[Mohaha7]] – 7-tone albitonic scale |
| Error: 3.813 cents<br />
| | * [[Mohaha10]] – 10-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/mohaha7">Seven note albitonic scale</a><br />
| | Music: |
| <a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br />
| | ; [[Billy Stiltner]] |
| <br />
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| <!-- 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 />
| | === Mohoho === |
| Commas: 66/65, 81/80, 121/120<br />
| | {{See also| Rastmic clan #Mohoho }} |
| <br />
| | |
| POTE generator: ~11/9 = 348.916<br />
| | == Joan == |
| <br />
| | {{See also| Subgroup temperaments #Joan }} |
| Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
| | |
| EDOs: 7, 10, 17, 24, 31, 55<br />
| | Scales: |
| Error: 4.829 cents<br />
| | * [[Joan5]] – 5-tone haplotonic scale |
| <br />
| | * [[Joan7]] – 7-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:32 -->Score</h1>
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| Subgroup: 2.7.11.13<br />
| | * [[Joan11]] – 11-tone chromatic scale |
| Commas: 343/338, 847/832<br />
| | |
| <br />
| | == Tutone == |
| POTE generator: ~11/8 = 540.099<br />
| | {{See also| Hemimean clan #Tutone }} |
| <br />
| | |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| EDOs: 5, 7, 9, 11, 20<br />
| | |
| Error: 3.846 cents<br />
| | Scales: |
| <br />
| | * [[Tutone6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/score5">Five note haplotonic scale</a><br />
| | * [[Tutone7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/score7">Seven note albitonic scale</a><br />
| | * [[Tutone13]] – 13-tone chromatic scale |
| <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 />
| | == Stacks == |
| <br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| <!-- 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 />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| Related temperament: <a class="wiki_link" href="/Archytas%20clan">superpyth</a><br />
| | * [[Stacks8]] – 8-tone albitonic scale |
| <br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| POTE generator: ~3/2 = 707.192<br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
| | == Bleu == |
| EDOs: 5, 7, 12, 17, 22, 39, 56<br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| Error: 5.414 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/supra7">Seven note albitonic scale</a><br />
| | * [[Bleu8]] – 8-tone haplotonic scale |
| <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| <br />
| | * [[Bleu17]] – 17-tone chromatic scale |
| <!-- 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 />
| | == Sephiroth == |
| Commas: 64/63, 78/77, 99/98<br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| <br />
| | |
| POTE generator: ~3/2 = 706.137<br />
| | Scales: |
| <br />
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br />
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| EDOs: 5, 7, 12, 17<br />
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| Error: 5.132 cents<br />
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:38 -->Machine</h2>
| | == Archy == |
| Subgroup: 2.9.7.11<br />
| | {{Main| Superpyth }} |
| Commas: 64/63, 99/98<br />
| | {{See also| Archytas clan #Archy }} |
| <br />
| | |
| POTE generator: ~9/8 = 214.384<br />
| | Scales: |
| <br />
| | * [[Archy5]] – 5-tone haplotonic scale |
| Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
| | * [[Archy7]] – 7-tone albitonic scale |
| EDOs: 5, 6, 11, 17, 28<br />
| | * [[Archy12]] – 12-tone chromatic scale |
| Error: 5.414 cents<br />
| | |
| <br />
| | === Supra === |
| <a class="wiki_link" href="/machine5">Five note haplotonic scale</a><br />
| | {{Main| Superpyth }} |
| <a class="wiki_link" href="/machine6">Six note albitonic scale</a><br />
| | {{See also| Archytas clan #Supra }} |
| <a class="wiki_link" href="/machine11">Eleven note chromatic scale</a><br />
| | |
| <br />
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:40 -->Augment</h1>
| | |
| Subgroup: 2.5.7.11<br />
| | Scales: |
| Commas: 56/55, 128/125<br />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| Related temperament: <a class="wiki_link" href="/Augmented%20family">augmented</a><br />
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| <br />
| | |
| POTE generator: ~8/7<br />
| | === Supraphon === |
| <br />
| | {{Main| Superpyth }} |
| Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br />
| | {{See also| Archytas clan #Supraphon }} |
| EDOs: 3, 6, 9, 15, 21<br />
| | |
| Error: 6.632 cents<br />
| | == Suhajira == |
| <br />
| | {{See also| Archytas clan #Suhajira }} |
| <a class="wiki_link" href="/augment6">Six note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/augment9">Nine note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/augment12">Twelve note chromatic scale</a><br />
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| <br />
| | * [[Suhajira10]] – 10-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:42 -->Greeley</h1>
| | * [[Suhajira17]] – 17-tone chromatic scale |
| Subgroup: 2.5/3.7/3.11/3<br />
| | |
| Commas: 121/120, 126/125<br />
| | == Machine == |
| <br />
| | {{See also| Subgroup temperaments #Machine}} |
| POTE generator: ~11/10 = 156.055<br />
| | |
| <br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| | |
| EDOs: 8, 15, 23, 77, 100<br />
| | Scales: |
| Error: 7.555 cents<br />
| | * [[Machine5]] – 5-tone haplotonic scale |
| <br />
| | * [[Machine6]] – 6-tone albitonic scale |
| <a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br />
| | * [[Machine11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a></body></html></pre></div>
| | |
| | == 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}} |