|
Tags: Mobile edit Mobile web edit |
(351 intermediate revisions by 29 users not shown) |
Line 1: |
Line 1: |
| <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>
| |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-20 22:54:40 UTC</tt>.<br>
| |
| : The original revision id was <tt>212270648</tt>.<br>
| |
| : The revision comment was: <tt></tt><br>
| |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">By a //chromatic pair// is meant a pair of MOS in some rank two temperament (which may often be a [[Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with [[Target tunings|tuning target]] the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.
| |
|
| |
|
| [[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. |
|
| |
|
| =Terrain= | | == Terrain == |
| Subgroup: 2.9/5.9/7 | | {{See also| Subgroup temperaments #Terrain }} |
| Commas: 250047/250000
| |
| Sval name: 6&21
| |
| Related temperament: [[Minortonic family#Domain|domain]]
| |
|
| |
|
| POTE generator: ~10/9 = 182.462
| | [[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]] |
|
| |
|
| Map: [<3 0 -4|, <0 1 2|]
| | Scales: |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
| | * [[Terrain9]] – 9-tone albitonic scale |
| Error: 0.0443 cents
| | * [[Terrain15]] – 15-tone chromatic scale |
|
| |
|
| 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] |
|
| |
|
| [[terrain9|Nine note albitonic scale]]
| | == Petrtri == |
| [[terrain15|Fifteen note chromatic scale]]
| | {{See also| Subgroup temperaments #Petrtri }} |
|
| |
|
| =Bridgetown=
| | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
| Subgroup: 2.3.11/5.13/5
| |
| Commas: 352/351, 676/675
| |
| Sval name: 5&24
| |
| Related temperament: [[The Archipelago|barabdos]]
| |
|
| |
|
| POTE generator: ~15/13 = 248.285
| | Scales: |
| | * [[Petrtri5]] – 5-tone haplotonic scale |
| | * [[Petrtri8]] – 8-tone albitonic scale |
| | * [[Petrtri13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 0 -6 -1|, <0 2 9 3|]
| | == Barton == |
| EDOs: 5, 9, 14, 19, 24, 29
| | {{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}} |
| Error: 0.8996 cents
| | {{See also| The Jacobins #Barton }} |
|
| |
|
| [[bridgetown9|Nine note albitonic scale]] | | Scales: |
| [[bridgetown14|Fourteen note chromatic scale]] | | * [[Barton5]] – 5-tone haplotonic scale |
| | * [[Barton7]] – 7-tone albitonic scale |
| | * [[Barton9]] – 9-tone mega-albitonic scale |
| | * [[Barton11]] – 11-tone chromatic scale |
| | * [[Barton13]] – 13-tone mega-chromatic scale |
|
| |
|
| =Cata= | | == Tridec == |
| Subgroup: 2.3.5.13 | | {{See also| Subgroup temperaments #Tridec }} |
| Commas: 325/324, 625/624
| |
| Sval name: 15&19
| |
| Related temperament: [[Kleismic family|catakleismic]]
| |
|
| |
|
| POTE generator: ~6/5 = 317.076
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
|
| |
|
| Map: [<1 0 1 0|, <0 6 5 14|]
| | Scales: |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
| | * [[Tridec8]] – 8-tone albitonic scale |
| Error: 0.9355 cents
| | * [[Tridec13]] – 13-tone chromatic scale |
|
| |
|
| [[cata7|Seven note albitonic scale]]
| | == Nestoria == |
| [[cata11|Eleven note mega albitonic scale]]
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
| [[cata15|Fifteen note chromatic scale]]
| |
| [[cata19|Nineteen note mega chromatic scale]]
| |
|
| |
|
| =Tridec=
| | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
| Subgroups: 2.7/5.11/5.13/5
| |
| Commas: 847/845, 1001/1000
| |
| Sval name: 5&8
| |
|
| |
|
| POTE generator: ~13/10 = 454.461
| | Scales: |
| | * [[Nestoria7]] – 7-tone albitonic scale |
| | * [[Nestoria12]] – 12-tone chromatic scale |
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
|
| |
|
| Map: [<1 2 0 1|, <0 -4 3 1|]
| | == Orgone == |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235
| | {{Main| Orgone }} |
| Error: 1.057
| | {{See also| Orgonia #Orgone }} |
|
| |
|
| [[Tridec8|Eight note albitonic scale]] | | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
| [[Tridec13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Pepperoni=
| | Scales: |
| Subgroup: 2.3.11/7.13/7
| | * [[Orgone7]] – 7-tone albitonic scale |
| Commas: 352/351, 364/363
| | * [[Orgone11]] – 11-tone chromatic scale |
| Sval name: 5&12
| | * [[Orgone15]] – 15-tone mega-chromatic scale |
| Related temperament: The [[Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.
| |
|
| |
|
| POTE generator: ~3/2 = 704.052
| | == Marveltwintri == |
| | {{See also| Subgroup temperaments #Marveltwintri }} |
|
| |
|
| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| |
| Error: 1.298 cents
| |
|
| |
|
| [[pepperoni7|Seven note albitonic scale]] | | Scales: |
| [[pepperoni12|Twelve note chromatic scale]] | | * [[Marveltwintri7]] – 7-tone albitonic scale |
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
|
| |
|
| =Nestoria= | | == Cata == |
| Subgroup: 2.3.5.19
| | {{Main| Kleismic }} |
| Commas: 361/360, 513/512
| | {{See also| Kleismic family #Cata }} |
| Sval name: 12&29
| |
| Related temperament: [[Schismatic family|schismatic]]
| |
|
| |
|
| POTE generator: ~3/2 = 701.746
| | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
|
| |
|
| Map: [<1 0 15 9], <0 1 -8 -3|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | * [[Cata7]] – 7-tone albitonic scale |
| Error: 1.819 cents
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[nestoria7|Seven note albitonic scale]]
| | == Bridgetown == |
| [[nestoria12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Bridgetown }} |
|
| |
|
| ==Photia== | | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| Subgroup 2.3.5.17.19
| |
| Commas: 171/170, 256/255, 324/323
| |
| Sval name: 12&41
| |
| Related temperament: [[Schismatic family|schismatic]]
| |
|
| |
|
| POTE generator: ~3/2 = 701.470
| | Scales: |
| | * [[Bridgetown9]] – 9-tone albitonic scale |
| | * [[Bridgetown14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | ; Music |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| | * [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]] |
| Error: 3.457 cents
| | * ''Route 14 in Bridgetown'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 play] – in Bridgetown[14] for flute, bassoons, and contra-bassoon |
|
| |
|
| [[photia7|Seven note albitonic scale]]
| | == Haumea == |
| [[photia12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Haumea }} |
|
| |
|
| =Huntington=
| | Scales: |
| Subgroup: 2.5.7.13
| | * [[Haumea5]] – 5-tone haplotonic scale |
| Commas: 640/637, 10985/10976
| | * [[Haumea9]] – 9-tone albitonic scale |
| Sval name: 10&27
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~16/13 = 357.002
| | == Neutral == |
| | {{See also| Rastmic clan #Neutral }} |
|
| |
|
| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| |
| Error: 2.1001 cents
| |
|
| |
|
| [[huntington7|Seven note haplotonic scale]] | | Scales: |
| [[huntington10|Ten note albitonic scale]] | | * [[Neutral7]] – 7-tone albitonic scale |
| [[huntington17|Seventeen note chromatic scale]] | | * [[Neutral10]] – 10-tone chromatic scale |
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
|
| |
|
| =Roulette=
| | ; Music |
| Subgroup: 2.5.7.11.13
| | * [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning |
| Commas: 176/175, 1375/1372, 640/637
| |
| Sval name: 6&25
| |
| Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]
| |
|
| |
|
| POTE generator: ~28/25 = 194.594
| | == Slendric == |
| | {{Main| Slendric }} |
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
|
| |
|
| Map: [<1 0 -3 -7 -13|, <0 2 5 9 -8|]
| | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| |
| Error: 2.555 cents
| |
|
| |
|
| [[roulette6|Six note haplotonic scale]] | | Scales: |
| [[roulette7|Seven note albitonic scale]] | | * [[Slendric5]] – 5-tone haplotonic scale |
| [[roulette13|Thirteen note chromatic scale]] | | * [[Slendric6]] – 6-tone haplotonic scale |
| [[roulette19|Nineteen note mega chromatic scale]] | | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
|
| |
|
| =Baldy= | | == Huntington == |
| Subgroup: 2.9.5.7.13
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| Commas: 225/224, 325/324, 640/637
| |
| Sval name: 6&35
| |
| Related temperament: [[Schismatic family|Garibaldi]]
| |
|
| |
|
| POTE generator: ~9/8 = 204.090
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
|
| |
|
| Map: [<1 0 15 25 -8|, <0 1 -4 -7 10|]
| | Scales: |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
| | * [[Huntington7]] – 7-tone haplotonic scale |
| Error: 2.617 cents
| | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
|
| |
|
| [[baldy6|Six note haplotonic scale]]
| | == Tobago == |
| [[baldy11|Eleven note albitonic scale]]
| | {{See also| Subgroup temperaments #Tobago }} |
| [[baldy17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Bossier=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Tobago6]] – 6-tone haplotonic scale |
| Commas: 1573/1569, 15488/15379
| | * [[Tobago10]] – 10-tone albitonic scale |
| Sval name: 3&17
| | * [[Tobago14]] – 14-tone chromatic scale |
| | * [[Tobago24]] – 24-tone quatertone scale |
|
| |
|
| POTE generator: ~14/11 = 421.309
| | == Pepperoni == |
| | {{See also| Parapyth }} |
| | {{See also| Subgroup temperaments #Pepperoni }} |
|
| |
|
| Map: [<1 0 1 3|, <0 8 7 2|]
| | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| EDOs: 17, 20, 37, 57, 94, 225
| |
| Error: 2.665 cents
| |
|
| |
|
| [[bossier8|Eight note albitonic scale]] | | Scales: |
| [[bossier11|Eleven note chromatic scale]] | | * [[Pepperoni7]] – 7-tone albitonic scale |
| [[bossier14|Fourteen note mega chromatic scale]]
| | * [[Pepperoni12]] – 12-tone chromatic scale |
|
| |
|
| =Radon= | | == Wizz == |
| Subgroup: 2.3.7.11
| | {{See also| No-threes subgroup temperaments #Wizz }} |
| Commas: 896/891, 1029/1024
| |
| Sval name: 5&36
| |
| Related temperament: [[Gamelismic clan|Rodan]]
| |
|
| |
|
| POTE generator: ~8/7 = 234.381
| | Scales: |
| | * [[Wizz6]] – 6-tone haplotonic scale |
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | == Bossier == |
| EDOs: 5, 36, 41, 87, 128
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| Error: 2.925 cents
| |
|
| |
|
| [[radon5|Five note haplotonic scale]] | | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| [[radon11|Eleven note albitonic scale]]
| |
| [[radon16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Indium=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3
| | * [[Bossier8]] – 8-tone albitonic scale |
| Commas: 3025/3024, 3125/3087
| | * [[Bossier11]] – 11-tone chromatic scale |
| Sval name: 8&33
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~12/11 = 147.159
| | == Penta a.k.a. mechanism == |
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
|
| |
|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | Scales: |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| | * [[Penta5]] – 5-tone haplotonic scale |
| Error: 3.968 cents
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[indium8|Eight note albitonic scale]]
| | == Bluebirds == |
| [[indium17|Seventeen note chromatic scale]]
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
|
| |
|
| =Hemif=
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Bluebirds6]] – 6-tone haplotonic scale |
| Commas: 144/143, 243/242, 364/363
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| Related temperament: [[Breedsmic temperaments|Hemififths]]
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | == Marveltri == |
| | {{See also| Subgroup temperaments #Marveltri }} |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 41, 58
| | * [[Marveltri7]] – 7-tone albitonic scale |
| Error: 4.867 cents
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
| |
|
| [[hemif7|Seven note haplotonic scale]]
| | == Edson == |
| [[hemif10|Ten note albitonic scale]]
| | {{See also| Subgroup temperaments #Edson }} |
| [[hemif17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Skwares=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Edson5]] – 5-tone haplotonic scale |
| Commas: 99/98, 243/242
| | * [[Edson7]] – 7-tone albitonic scale |
| Related temperament: [[Meantone family|squares]]
| | * [[Edson12]] – 12-tone chromatic scale |
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | == Photia == |
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| |
| Error: 4.942 cents
| |
|
| |
|
| [[skwares8|Eight note albitonic scale]] | | Scales: |
| [[skwares11|Eleven note mega albitonic scale]] | | * [[Photia7]] – 7-tone albitonic scale |
| [[skwares14|Fourteen note chromatic scale]]
| | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| =Greeley= | | == Shoe a.k.a. llywelyn == |
| Subgroup: 2.5/3.7/3.11/3
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| Commas: 121/120, 126/125
| |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | Scales: |
| EDOs: 8, 15, 23, 77, 100
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| Error: 5.404 cents
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| [[greeley8|Eight note albitonic scale]]
| | == Roulette == |
| [[greeley15|Fifteen note chromatic scale]]
| | {{See also | Hemimean clan #Roulette }} |
|
| |
|
| =Semidim=
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| Subgroup: 2.5/3.7/3.11/3.13/3
| |
| Commas: 121/120, 169/168, 275/273
| |
| Sval name: 8&29
| |
|
| |
|
| POTE generator: ~13/10 = 453.190
| | Scales: |
| | * [[Roulette6]] – 6-tone haplotonic scale |
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | == Silver == |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| | {{See also | No-threes subgroup temperaments #Silver }} |
| Error: 5.433 cents
| |
|
| |
|
| [[semidim8|Eight note albitonic scale]] | | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| [[semidim13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Mohaha=
| | Scales: |
| Subgroup: 2.3.5.11
| | * [[Silver7]] – 7-tone haplotonic scale |
| Commas: 81/80, 121/120
| | * [[Silver10]] – 10-tone albitonic scale |
| Related temperament: [[Meantone family|mohajira]]
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | == Baldy == |
| | {{See also| Subgroup temperaments #Baldy }} |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
| EDOs: 7, 10, 17, 24, 31, 131
| |
| Error: 6.733 cents
| |
|
| |
|
| [[mohaha7|Seven note albitonic scale]] | | Scales |
| [[mohaha10|Ten note chromatic scale]] | | * [[Baldy6]] – 6-tone haplotonic scale |
| | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| ==Mohoho==
| |
| Subgroup: 2.3.5.11.13
| |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | == Guanyintet == |
| | {{See also | Subgroup temperaments #Guanyintet }} |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 31, 55
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Error: 9.556 cents
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| =Tutone= | | == Radon == |
| Subgroup: 2.9.5.7.11
| | {{See also| Gamelismic clan #Radon }} |
| Commas: 81/80, 99/98, 126/125
| |
| Related temperament: [[Meantone family|meantone]]
| |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | * [[Radon5]] – 5-tone haplotonic scale |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| | * [[Radon11]] – 11-tone albitonic scale |
| Error: 7.047 cents
| | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| [[tutone6|Six note haplotonic scale]]
| | == Gariberttet == |
| [[tutone7|Seven note albitonic scale]]
| | {{See also | Subgroup temperaments #Gariberttet }} |
| [[tutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| ==Leantone==
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Commas: 45/44, 56/55, 81/80
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| Related temperament: [[Meantone family|flattone]]
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | == Namo == |
| | {{See also| Rastmic clan #Namo }} |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| | * [[Namo7]] – 7-tone haplotonic scale |
| Error: 20.338 cents
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| [[leantone6|Six note haplotonic scale]]
| | == Sentry == |
| [[leantone7|Seven note albitonic scale]]
| | {{See also | Subgroup temperaments #Sentry }} |
| [[leantone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Score=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Sentry5]] – 5-tone haplotonic scale |
| Commas: 343/338, 847/832
| | * [[Sentry8]] – 8-tone albitonic scale |
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | == Hemif == |
| | {{See also| No-fives subgroup temperaments #Hemif }} |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
| EDOs: 5, 7, 9, 11, 20
| |
| Error: 8.052 cents
| |
|
| |
|
| [[score5|Five note haplotonic scale]] | | Scales: |
| [[score7|Seven note albitonic scale]] | | * [[Hemif7]] – 7-tone haplotonic scale |
| [[score9|Nine note mega albitonic scale]] | | * [[Hemif10]] – 10-tone albitonic scale |
| [[score11|Eleven note chromatic scale]]
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| =Supra= | | == Garibaldi == |
| Subgroup: 2.3.7.11
| | {{Main| Garibaldi temperament }} |
| Commas: 64/63, 99/98
| | {{See also| Schismatic family #Garibaldi }} |
| Related temperament: [[Archytas clan|superpyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | Scales: |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| Error: 9.795 cents
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| [[supra7|Seven note albitonic scale]]
| | == Mabilic == |
| [[supra12|Twelve note chromatic scale]]
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
|
| |
|
| ==Supraphon==
| | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| Subgroup: 2.3.7.11.13
| |
| Commas: 64/63, 78/77, 99/98
| |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | Scales: |
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| | * [[Mabilic9]] – 9-tone albitonic scale |
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | == Indium == |
| EDOs: 5, 7, 12, 17
| | {{See also | Subgroup temperaments #Indium }} |
| Error: 10.534 cents
| |
|
| |
|
| ==Machine==
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| Subgroup: 2.9.7.11
| |
| Commas: 64/63, 99/98
| |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | Scales: |
| | * [[Indium8]] – 8-tone albitonic scale |
| | * [[Indium17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | ; Music |
| EDOs: 5, 6, 11, 17, 28
| | * ''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] |
| Error: 10.100 cents
| |
|
| |
|
| [[machine5|Five note haplotonic scale]]
| | == Starlingtet == |
| [[machine6|Six note albitonic scale]]
| | {{See also | Subgroup temperaments #Starlingtet }} |
| [[machine11|Eleven note chromatic scale]]
| |
|
| |
|
| =Augment=
| | Scales: |
| Subgroup: 2.5.7.11
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| Commas: 56/55, 128/125
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| Related temperament: [[Augmented family|augmented]]
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~8/7
| | == Lovecraft == |
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| EDOs: 3, 6, 9, 15, 21
| |
| Error: 12.830 cents
| |
|
| |
|
| [[augment6|Six note haplotonic scale]] | | Scales: |
| [[augment9|Nine note albitonic scale]] | | * [[Lovecraft5]] – 5-tone haplotonic scale |
| [[augment12|Twelve note chromatic scale]] | | * [[Lovecraft9]] – 9-tone albitonic scale |
| </pre></div>
| | * [[Lovecraft13]] – 13-tone chromatic scale |
| <h4>Original HTML content:</h4>
| | |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chromatic pairs</title></head><body>By a <em>chromatic pair</em> is meant a pair of MOS in some rank two temperament (which may often be a <a class="wiki_link" href="/Just%20intonation%20subgroups">subgroup temperament</a>) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called &quot;albitonic&quot; from the Latin word for &quot;white&quot;. Also included at times are &quot;haplotonic&quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with <a class="wiki_link" href="/Target%20tunings">tuning target</a> the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.<br />
| | == Blackbirds == |
| <br />
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| <!-- ws:start:WikiTextTocRule:52:&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:52 --><!-- ws:start:WikiTextTocRule:53: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: -->
| | |
| <!-- ws:end:WikiTextTocRule:79 --><br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1>
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| Subgroup: 2.9/5.9/7<br />
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| Commas: 250047/250000<br />
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
| Sval name: 6&amp;21<br />
| | |
| Related temperament: <a class="wiki_link" href="/Minortonic%20family#Domain">domain</a><br />
| | == Laz == |
| <br />
| | {{See also | Subgroup temperaments #Laz }} |
| POTE generator: ~10/9 = 182.462<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | * [[Laz5]] – 5-tone haplotonic scale |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | * [[Laz9]] – 9-tone albitonic scale |
| Error: 0.0443 cents<br />
| | * [[Laz13]] – 13-tone chromatic scale |
| <br />
| | |
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br />
| | == Myna == |
| <br />
| | {{Main| Myna }} |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | {{See also| Starling temperaments #Myna }} |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | |
| <br />
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:2 -->Bridgetown</h1>
| | |
| Subgroup: 2.3.11/5.13/5<br /> | | Scales: |
| Commas: 352/351, 676/675<br />
| | * [[Myna7]] – 7-tone haplotonic scale |
| Sval name: 5&amp;24<br />
| | * [[Myna11]] – 11-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabdos</a><br />
| | * [[Myna15]] – 15-tone chromatic scale |
| <br />
| | |
| POTE generator: ~15/13 = 248.285<br />
| | == Greeley == |
| <br />
| | {{See also| Subgroup temperaments #Greeley }} |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| Error: 0.8996 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
| | * [[Greeley8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
| | * [[Greeley15]] – 15-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:4 -->Cata</h1>
| | ; Music |
| Subgroup: 2.3.5.13<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] |
| Commas: 325/324, 625/624<br />
| | |
| Sval name: 15&amp;19<br />
| | == Ammon == |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | {{See also| Subgroup temperaments #Ammon }} |
| <br />
| | |
| POTE generator: ~6/5 = 317.076<br />
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| <br />
| | |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | Scales: |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br />
| | * [[Ammon8]] – 8-tone albitonic scale |
| Error: 0.9355 cents<br />
| | * [[Ammon13]] – 13-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br />
| | == Mothwelltri == |
| <a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br />
| | {{See also| Subgroup temperaments #Mothwelltri }} |
| <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 />
| | Scales: |
| <br />
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:6 -->Tridec</h1>
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| Subgroups: 2.7/5.11/5.13/5<br />
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
| Commas: 847/845, 1001/1000<br />
| | |
| Sval name: 5&amp;8<br />
| | == Sulis == |
| <br />
| | {{See also| Subgroup temperaments #Sulis }} |
| POTE generator: ~13/10 = 454.461<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
| | * [[Sulis7]] – 7-tone haplotonic scale |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235<br />
| | * [[Sulis10]] – 10-tone albitonic scale |
| Error: 1.057<br />
| | * [[Sulis13]] – 13-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/Tridec8">Eight note albitonic scale</a><br />
| | == Skwares == |
| <a class="wiki_link" href="/Tridec13">Thirteen note chromatic scale</a><br />
| | {{Main| Squares }} |
| <br />
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:8 -->Pepperoni</h1>
| | |
| Subgroup: 2.3.11/7.13/7<br />
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| Commas: 352/351, 364/363<br />
| | |
| Sval name: 5&amp;12<br />
| | Scales: |
| Related temperament: The <a class="wiki_link" href="/Peppermint-24">Pepper fifth</a>, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.<br />
| | * [[Skwares8]] – 8-tone albitonic scale |
| <br />
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| POTE generator: ~3/2 = 704.052<br />
| | * [[Skwares14]] – 14-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | == Orwell == |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | {{Main| Orwell }} |
| Error: 1.298 cents<br />
| | {{See also| Semicomma family #Orwell }} |
| <br />
| | |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:10 -->Nestoria</h1>
| | * [[Orwell5]] – 5-tone haplotonic scale |
| Subgroup: 2.3.5.19<br />
| | * [[Orwell9]] – 9-tone albitonic scale |
| Commas: 361/360, 513/512<br />
| | * [[Orwell13]] – 13-tone chromatic scale |
| Sval name: 12&amp;29<br />
| | |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | == Magicaltet == |
| <br />
| | {{See also| Subgroup temperaments #Magicaltet }} |
| POTE generator: ~3/2 = 701.746<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br />
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| Error: 1.819 cents<br />
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | == Magic == |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | {{Main| Magic }} |
| <br />
| | {{See also| Magic family #Magic }} |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Nestoria-Photia"></a><!-- ws:end:WikiTextHeadingRule:12 -->Photia</h2>
| | |
| Subgroup 2.3.5.17.19<br />
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| Commas: 171/170, 256/255, 324/323<br />
| | |
| Sval name: 12&amp;41<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | * [[Magic7]] – 7-tone haplotonic scale |
| <br />
| | * [[Magic10]] – 10-tone albitonic scale |
| POTE generator: ~3/2 = 701.470<br />
| | * [[Magic13]] – 13-tone chromatic scale |
| <br />
| | * [[Magic16]] – 16-tone mega-chromatic scale |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | == Kiribati == |
| Error: 3.457 cents<br />
| | {{See also| Subgroup temperaments #Kiribati }} |
| <br />
| | |
| <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br />
| | * [[Kiribati13]] – 13-tone chromatic scale |
| <br />
| | * [[Kiribati14]] – 14-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:14 -->Huntington</h1>
| | |
| Subgroup: 2.5.7.13<br />
| | == Score == |
| Commas: 640/637, 10985/10976<br />
| | {{See also|No-threes subgroup temperaments #Score }} |
| Sval name: 10&amp;27<br />
| | |
| <br />
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| POTE generator: ~16/13 = 357.002<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | * [[Score5]] – 5-tone haplotonic scale |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | * [[Score7]] – 7-tone albitonic scale |
| Error: 2.1001 cents<br />
| | * [[Score9]] – 9-tone mega-albitonic scale |
| <br />
| | * [[Score11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br />
| | == Sensi == |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:16 -->Roulette</h1>
| | |
| Subgroup: 2.5.7.11.13<br />
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| Commas: 176/175, 1375/1372, 640/637<br />
| | |
| Sval name: 6&amp;25<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| POTE generator: ~28/25 = 194.594<br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br />
| | |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | === Sensation === |
| Error: 2.555 cents<br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| <a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/roulette7">Seven note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/roulette13">Thirteen note chromatic scale</a><br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/roulette19">Nineteen note mega chromatic scale</a><br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| <br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:18 -->Baldy</h1>
| | * [[Sensi19]] – 19-tone chromatic scale |
| Subgroup: 2.9.5.7.13<br />
| | |
| Commas: 225/224, 325/324, 640/637<br />
| | == Meantone == |
| Sval name: 6&amp;35<br />
| | {{Main| Meantone }} |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
| | {{See also| Meantone family #Meantone }} |
| <br />
| | |
| POTE generator: ~9/8 = 204.090<br />
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| <br />
| | |
| Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]<br />
| | Scales: |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br />
| | * [[Meantone5]] – 5-tone haplotonic scale |
| Error: 2.617 cents<br />
| | * [[Meantone7]] – 7-tone albitonic scale |
| <br />
| | * [[Meantone12]] – 12-tone chromatic scale |
| <a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/baldy11">Eleven note albitonic scale</a><br />
| | == Mohaha == |
| <a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br />
| | {{See also| Rastmic clan #Mohaha }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:20 -->Bossier</h1>
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| Subgroup: 2.7.11.13<br />
| | |
| Commas: 1573/1569, 15488/15379<br />
| | Scales: |
| Sval name: 3&amp;17<br />
| | * [[Mohaha7]] – 7-tone albitonic scale |
| <br />
| | * [[Mohaha10]] – 10-tone chromatic scale |
| POTE generator: ~14/11 = 421.309<br />
| | |
| <br />
| | Music: |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| | ; [[Billy Stiltner]] |
| EDOs: 17, 20, 37, 57, 94, 225<br />
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| Error: 2.665 cents<br />
| | |
| <br />
| | === Mohoho === |
| <a class="wiki_link" href="/bossier8">Eight note albitonic scale</a><br />
| | {{See also| Rastmic clan #Mohoho }} |
| <a class="wiki_link" href="/bossier11">Eleven note chromatic scale</a><br />
| | |
| <a class="wiki_link" href="/bossier14">Fourteen note mega chromatic scale</a><br />
| | == Joan == |
| <br />
| | {{See also| Subgroup temperaments #Joan }} |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:22 -->Radon</h1>
| | |
| Subgroup: 2.3.7.11<br />
| | Scales: |
| Commas: 896/891, 1029/1024<br />
| | * [[Joan5]] – 5-tone haplotonic scale |
| Sval name: 5&amp;36<br />
| | * [[Joan7]] – 7-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><br />
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| <br />
| | * [[Joan11]] – 11-tone chromatic scale |
| POTE generator: ~8/7 = 234.381<br />
| | |
| <br />
| | == Tutone == |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| | {{See also| Hemimean clan #Tutone }} |
| EDOs: 5, 36, 41, 87, 128<br />
| | |
| Error: 2.925 cents<br />
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| <br />
| | |
| <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
| | * [[Tutone6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
| | * [[Tutone7]] – 7-tone albitonic scale |
| <br />
| | * [[Tutone13]] – 13-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:24 -->Indium</h1>
| | |
| Subgroup: 2.5/3.7/3.11/3<br />
| | == Stacks == |
| Commas: 3025/3024, 3125/3087<br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| Sval name: 8&amp;33<br />
| | |
| <br />
| | Scales: |
| POTE generator: ~12/11 = 147.159<br />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| <br />
| | * [[Stacks8]] – 8-tone albitonic scale |
| Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| EDOs: 33, 41, 49, 57, 106, 204, 253<br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| Error: 3.968 cents<br />
| | |
| <br />
| | == Bleu == |
| <a class="wiki_link" href="/indium8">Eight note albitonic scale</a><br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| <a class="wiki_link" href="/indium17">Seventeen note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:26 -->Hemif</h1>
| | * [[Bleu8]] – 8-tone haplotonic scale |
| Subgroup: 2.3.7.11.13<br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| Commas: 144/143, 243/242, 364/363<br />
| | * [[Bleu17]] – 17-tone chromatic scale |
| Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br />
| | |
| <br />
| | == Sephiroth == |
| POTE generator: ~11/9 = 351.691<br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| <br />
| | |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| | Scales: |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| Error: 4.867 cents<br />
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| <br />
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br />
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| <a class="wiki_link" href="/hemif10">Ten note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br />
| | == Archy == |
| <br />
| | {{Main| Superpyth }} |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:28 -->Skwares</h1>
| | {{See also| Archytas clan #Archy }} |
| Subgroup: 2.3.7.11<br />
| | |
| Commas: 99/98, 243/242<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">squares</a><br />
| | * [[Archy5]] – 5-tone haplotonic scale |
| <br />
| | * [[Archy7]] – 7-tone albitonic scale |
| POTE generator: ~9/7 = 425.244<br />
| | * [[Archy12]] – 12-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| | === Supra === |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| | {{Main| Superpyth }} |
| Error: 4.942 cents<br />
| | {{See also| Archytas clan #Supra }} |
| <br />
| | |
| <a class="wiki_link" href="/skwares8">Eight note albitonic scale</a><br />
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| <a class="wiki_link" href="/skwares11">Eleven note mega albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:30 -->Greeley</h1>
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| Subgroup: 2.5/3.7/3.11/3<br />
| | |
| Commas: 121/120, 126/125<br />
| | === Supraphon === |
| <br />
| | {{Main| Superpyth }} |
| POTE generator: ~11/10 = 156.055<br />
| | {{See also| Archytas clan #Supraphon }} |
| <br />
| | |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| | == Suhajira == |
| EDOs: 8, 15, 23, 77, 100<br />
| | {{See also| Archytas clan #Suhajira }} |
| Error: 5.404 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br />
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br />
| | * [[Suhajira10]] – 10-tone albitonic scale |
| <br />
| | * [[Suhajira17]] – 17-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:32 -->Semidim</h1>
| | |
| Subgroup: 2.5/3.7/3.11/3.13/3<br />
| | == Machine == |
| Commas: 121/120, 169/168, 275/273<br />
| | {{See also| Subgroup temperaments #Machine}} |
| Sval name: 8&amp;29<br />
| | |
| <br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| POTE generator: ~13/10 = 453.190<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br />
| | * [[Machine5]] – 5-tone haplotonic scale |
| EDOs: 5, 8, 13, 21, 29, 37, 45<br />
| | * [[Machine6]] – 6-tone albitonic scale |
| Error: 5.433 cents<br />
| | * [[Machine11]] – 11-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/semidim8">Eight note albitonic scale</a><br />
| | == Deutone == |
| <a class="wiki_link" href="/semidim13">Thirteen note chromatic scale</a><br />
| | {{See also| Hemimean clan #Deutone }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:34 -->Mohaha</h1>
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| Subgroup: 2.3.5.11<br />
| | |
| Commas: 81/80, 121/120<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">mohajira</a><br />
| | * [[Deutone6]] – 6-tone haplotonic scale |
| <br />
| | * [[Deutone7]] – 7-tone albitonic scale |
| POTE generator: ~11/9 = 348.094<br />
| | * [[Deutone13]] – 13-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| | == Negra == |
| EDOs: 7, 10, 17, 24, 31, 131<br />
| | {{Main| Negri }} |
| Error: 6.733 cents<br />
| | {{See also| Marvel temperaments #Negri }} |
| <br />
| | |
| <a class="wiki_link" href="/mohaha7">Seven note albitonic scale</a><br />
| | == Porkypine == |
| <a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br />
| | {{Main| Porcupine }} |
| <br />
| | {{See also| Porcupine family #Porcupine }} |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:36 -->Mohoho</h2>
| | |
| Subgroup: 2.3.5.11.13<br />
| | Scales: |
| Commas: 66/65, 81/80, 121/120<br />
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| <br />
| | * [[Porkypine8]] – 8-tone albitonic scale |
| POTE generator: ~11/9 = 348.916<br />
| | * [[Porkypine15]] – 15-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
| | == Skateboard == |
| EDOs: 7, 10, 17, 24, 31, 55<br />
| | {{See also| Subgroup temperaments #Skateboard }} |
| Error: 9.556 cents<br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:38 -->Tutone</h1>
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| Subgroup: 2.9.5.7.11<br />
| | * [[Skateboard11]] – 11-tone albitonic scale |
| Commas: 81/80, 99/98, 126/125<br />
| | * [[Skateboard15]] – 15-tone chromatic scale |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">meantone</a><br />
| | |
| <br />
| | == Augment == |
| POTE generator: ~9/8 = 193.937<br />
| | {{See also| No-threes subgroup temperaments #Augment }} |
| <br />
| | |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 99<br />
| | |
| Error: 7.047 cents<br />
| | Scales: |
| <br />
| | * [[Augment6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/tutone6">Six note haplotonic scale</a><br />
| | * [[Augment9]] – 9-tone albitonic scale |
| <a class="wiki_link" href="/tutone7">Seven note albitonic scale</a><br />
| | * [[Augment12]] – 12-tone chromatic scale |
| <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br />
| | |
| <br />
| | == Semaphore == |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Tutone-Leantone"></a><!-- ws:end:WikiTextHeadingRule:40 -->Leantone</h2>
| | {{Main| Semaphore and godzilla }} |
| Subgroup: 2.9.5.7.11<br />
| | {{See also| Semaphoresmic clan #Semaphore }} |
| Commas: 45/44, 56/55, 81/80<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">flattone</a><br />
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| <br />
| | |
| POTE generator: ~9/8 = 192.500<br />
| | Scales: |
| <br />
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
| | * [[Semaphore9]] – 9-tone albitonic scale |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
| | * [[Semaphore14]] – 14-tone chromatic scale |
| Error: 20.338 cents<br />
| | |
| <br />
| | == Kryptonite == |
| <a class="wiki_link" href="/leantone6">Six note haplotonic scale</a><br />
| | {{See also| Subgroup temperaments #Kryptonite }} |
| <a class="wiki_link" href="/leantone7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:42 -->Score</h1>
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| Subgroup: 2.7.11.13<br />
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
| Commas: 343/338, 847/832<br />
| | |
| <br />
| | == Oregon == |
| POTE generator: ~11/8 = 540.099<br />
| | {{See also| Orgonia #Oregon }} |
| <br />
| | |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| | Scales: |
| EDOs: 5, 7, 9, 11, 20<br />
| | * [[Oregon7]] – 7-tone haplotonic scale |
| Error: 8.052 cents<br />
| | * [[Oregon11]] – 11-tone albitonic scale |
| <br />
| | * [[Oregon15]] – 15-tone chromatic scale |
| <a class="wiki_link" href="/score5">Five note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/score7">Seven note albitonic scale</a><br />
| | == Antikythera == |
| <a class="wiki_link" href="/score9">Nine note mega albitonic scale</a><br />
| | {{See also| Jubilismic clan #Antikythera }} |
| <a class="wiki_link" href="/score11">Eleven note chromatic scale</a><br />
| | |
| <br />
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| <!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:44 -->Supra</h1>
| | |
| Subgroup: 2.3.7.11<br />
| | Scales: |
| Commas: 64/63, 99/98<br />
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| Related temperament: <a class="wiki_link" href="/Archytas%20clan">superpyth</a><br />
| | * [[Antikythera10]] – 10-tone albitonic scale |
| <br />
| | * [[Antikythera16]] – 16-tone chromatic scale |
| POTE generator: ~3/2 = 707.192<br />
| | |
| <br />
| | == Glacial == |
| Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
| | {{See also| Subgroup temperaments #Glacial }} |
| EDOs: 5, 7, 12, 17, 22, 39, 56<br />
| | |
| Error: 9.795 cents<br />
| | Scales: |
| <br />
| | * [[Glacial6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/supra7">Seven note albitonic scale</a><br />
| | * [[Glacial7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br />
| | * [[Glacial13]] – 13-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:46:&lt;h2&gt; --><h2 id="toc23"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:46 -->Supraphon</h2>
| | == Leantone == |
| Subgroup: 2.3.7.11.13<br />
| | {{See also| Hemimean clan #Leantone }} |
| Commas: 64/63, 78/77, 99/98<br />
| | |
| <br />
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| POTE generator: ~3/2 = 706.137<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br />
| | * [[Leantone6]] – 6-tone haplotonic scale |
| EDOs: 5, 7, 12, 17<br />
| | * [[Leantone7]] – 7-tone albitonic scale |
| Error: 10.534 cents<br />
| | * [[Leantone13]] – 13-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:48 -->Machine</h2>
| | == Notes == |
| Subgroup: 2.9.7.11<br />
| | |
| Commas: 64/63, 99/98<br />
| | [[Category:Lists of scales]] |
| <br />
| | [[Category:Tempered scales| ]] |
| POTE generator: ~9/8 = 214.384<br />
| | [[Category:Listen]] |
| <br />
| | [[Category:Rank 2]] |
| Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
| | |
| EDOs: 5, 6, 11, 17, 28<br />
| | {{todo|cleanup}} |
| Error: 10.100 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/machine5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/machine6">Six note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/machine11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:50:&lt;h1&gt; --><h1 id="toc25"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:50 -->Augment</h1>
| |
| Subgroup: 2.5.7.11<br />
| |
| Commas: 56/55, 128/125<br />
| |
| Related temperament: <a class="wiki_link" href="/Augmented%20family">augmented</a><br />
| |
| <br />
| |
| POTE generator: ~8/7<br />
| |
| <br />
| |
| Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br />
| |
| EDOs: 3, 6, 9, 15, 21<br />
| |
| Error: 12.830 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/augment6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/augment9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/augment12">Twelve note chromatic scale</a></body></html></pre></div>
| |