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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-25 22:58:40 UTC</tt>.<br>
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| : The original revision id was <tt>214132944</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">[[toc|flat]]
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| | 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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| 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.
| | == Terrain == |
| | {{See also| Subgroup temperaments #Terrain }} |
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| =Terrain=
| | [[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]] |
| Subgroup: 2.9/5.9/7
| |
| Commas: 250047/250000
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| Sval name: 6&21
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| Related temperament: [[Minortonic family#Domain|domain]]
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| POTE generator: ~10/9 = 182.462
| | Scales: |
| | * [[Terrain9]] – 9-tone albitonic scale |
| | * [[Terrain15]] – 15-tone chromatic scale |
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|
| Map: [<3 0 -4|, <0 1 2|]
| | ; Music |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
| | * ''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] |
| Error: 0.0443 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.
| | == Petrtri == |
| | {{See also| Subgroup temperaments #Petrtri }} |
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| [[terrain9|Nine note albitonic scale]] | | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
| [[terrain15|Fifteen note chromatic scale]]
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|
| =Bridgetown=
| | Scales: |
| Subgroup: 2.3.11/5.13/5
| | * [[Petrtri5]] – 5-tone haplotonic scale |
| Commas: 352/351, 676/675
| | * [[Petrtri8]] – 8-tone albitonic scale |
| Sval name: 5&24
| | * [[Petrtri13]] – 13-tone chromatic scale |
| Related temperament: [[The Archipelago|barabdos]]
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| POTE generator: ~15/13 = 248.285
| | == Barton == |
| | {{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}} |
| | {{See also| The Jacobins #Barton }} |
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| Map: [<1 0 -6 -1|, <0 2 9 3|]
| | Scales: |
| EDOs: 5, 9, 14, 19, 24, 29
| | * [[Barton5]] – 5-tone haplotonic scale |
| Error: 0.8996 cents
| | * [[Barton7]] – 7-tone albitonic scale |
| | * [[Barton9]] – 9-tone mega-albitonic scale |
| | * [[Barton11]] – 11-tone chromatic scale |
| | * [[Barton13]] – 13-tone mega-chromatic scale |
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| [[bridgetown9|Nine note albitonic scale]]
| | == Tridec == |
| [[bridgetown14|Fourteen note chromatic scale]]
| | {{See also| Subgroup temperaments #Tridec }} |
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| =Cata=
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
| Subgroup: 2.3.5.13
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| Commas: 325/324, 625/624
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| Sval name: 15&19
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| Related temperament: [[Kleismic family|catakleismic]]
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| POTE generator: ~6/5 = 317.076
| | Scales: |
| | * [[Tridec8]] – 8-tone albitonic scale |
| | * [[Tridec13]] – 13-tone chromatic scale |
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| Map: [<1 0 1 0|, <0 6 5 14|]
| | == Nestoria == |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
| Error: 0.9355 cents
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| [[cata7|Seven note albitonic scale]] | | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
| [[cata11|Eleven note mega albitonic scale]]
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| [[cata15|Fifteen note chromatic scale]]
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| [[cata19|Nineteen note mega chromatic scale]]
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| =Tridec=
| | Scales: |
| Subgroups: 2.7/5.11/5.13/5
| | * [[Nestoria7]] – 7-tone albitonic scale |
| Commas: 847/845, 1001/1000
| | * [[Nestoria12]] – 12-tone chromatic scale |
| Sval name: 5&8
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
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| POTE generator: ~13/10 = 454.461
| | == Orgone == |
| | {{Main| Orgone }} |
| | {{See also| Orgonia #Orgone }} |
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| Map: [<1 2 0 1|, <0 -4 3 1|]
| | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235
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| Error: 1.057
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| [[Tridec8|Eight note albitonic scale]] | | Scales: |
| [[Tridec13|Thirteen note chromatic scale]] | | * [[Orgone7]] – 7-tone albitonic scale |
| | * [[Orgone11]] – 11-tone chromatic scale |
| | * [[Orgone15]] – 15-tone mega-chromatic scale |
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| =Pepperoni= | | == Marveltwintri == |
| Subgroup: 2.3.11/7.13/7 | | {{See also| Subgroup temperaments #Marveltwintri }} |
| Commas: 352/351, 364/363
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| Sval name: 5&12
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| Related temperament: The [[Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.
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| POTE generator: ~3/2 = 704.052
| | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
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| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | Scales: |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| | * [[Marveltwintri7]] – 7-tone albitonic scale |
| Error: 1.298 cents
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
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| [[pepperoni7|Seven note albitonic scale]]
| | == Cata == |
| [[pepperoni12|Twelve note chromatic scale]]
| | {{Main| Kleismic }} |
| | {{See also| Kleismic family #Cata }} |
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| =Nestoria=
| | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
| Subgroup: 2.3.5.19
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| Commas: 361/360, 513/512
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| Sval name: 12&29
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| Related temperament: [[Schismatic family|schismatic]]
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|
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| POTE generator: ~3/2 = 701.746
| | Scales: |
| | * [[Cata7]] – 7-tone albitonic scale |
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
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| Map: [<1 0 15 9], <0 1 -8 -3|]
| | == Bridgetown == |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | {{See also| Subgroup temperaments #Bridgetown }} |
| Error: 1.819 cents
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| [[nestoria7|Seven note albitonic scale]] | | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| [[nestoria12|Twelve note chromatic scale]]
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| ==Photia==
| | Scales: |
| Subgroup 2.3.5.17.19
| | * [[Bridgetown9]] – 9-tone albitonic scale |
| Commas: 171/170, 256/255, 324/323
| | * [[Bridgetown14]] – 14-tone chromatic scale |
| Sval name: 12&41
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| Related temperament: [[Schismatic family|schismatic]]
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| POTE generator: ~3/2 = 701.470
| | ; Music |
| | * [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]] |
| | * ''Route 14 in Bridgetown'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 play] – in Bridgetown[14] for flute, bassoons, and contra-bassoon |
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| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | == Haumea == |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| | {{See also| Subgroup temperaments #Haumea }} |
| Error: 3.457 cents
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| [[photia7|Seven note albitonic scale]] | | Scales: |
| [[photia12|Twelve note chromatic scale]] | | * [[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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| =Huntington= | | == Neutral == |
| Subgroup: 2.5.7.13
| | {{See also| Rastmic clan #Neutral }} |
| Commas: 640/637, 10985/10976
| |
| Sval name: 10&27
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| POTE generator: ~16/13 = 357.002
| | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
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| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| | * [[Neutral7]] – 7-tone albitonic scale |
| Error: 2.1001 cents
| | * [[Neutral10]] – 10-tone chromatic scale |
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
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| [[huntington7|Seven note haplotonic scale]] | | ; Music |
| [[huntington10|Ten note albitonic scale]] | | * [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 |
| [[huntington17|Seventeen note chromatic scale]] | |
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| =Roulette= | | == Slendric == |
| Subgroup: 2.5.7.11.13
| | {{Main| Slendric }} |
| Commas: 176/175, 1375/1372, 640/637
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
| Sval name: 6&25
| |
| Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]
| |
|
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| POTE generator: ~28/25 = 194.594
| | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
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|
| Map: [<1 0 -3 -7 -13|, <0 2 5 9 -8|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| | * [[Slendric5]] – 5-tone haplotonic scale |
| Error: 2.555 cents
| | * [[Slendric6]] – 6-tone haplotonic scale |
| | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
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| [[roulette6|Six note haplotonic scale]]
| | == Huntington == |
| [[roulette7|Seven note albitonic scale]]
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| [[roulette13|Thirteen note chromatic scale]]
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| [[roulette19|Nineteen note mega chromatic scale]]
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| =Baldy=
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
| Subgroup: 2.9.5.7.13
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| Commas: 225/224, 325/324, 640/637
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| Sval name: 6&35
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| Related temperament: [[Schismatic family|Garibaldi]]
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|
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|
| POTE generator: ~9/8 = 204.090
| | Scales: |
| | * [[Huntington7]] – 7-tone haplotonic scale |
| | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
|
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| Map: [<1 0 15 25 -8|, <0 1 -4 -7 10|]
| | == Tobago == |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
| | {{See also| Subgroup temperaments #Tobago }} |
| Error: 2.617 cents
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| [[baldy6|Six note haplotonic scale]] | | Scales: |
| [[baldy11|Eleven note albitonic scale]] | | * [[Tobago6]] – 6-tone haplotonic scale |
| [[baldy17|Seventeen note chromatic scale]] | | * [[Tobago10]] – 10-tone albitonic scale |
| | * [[Tobago14]] – 14-tone chromatic scale |
| | * [[Tobago24]] – 24-tone quatertone scale |
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| =Bossier= | | == Pepperoni == |
| Subgroup: 2.7.11.13 | | {{See also| Parapyth }} |
| Commas: 1573/1569, 15488/15379
| | {{See also| Subgroup temperaments #Pepperoni }} |
| Sval name: 3&17
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|
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| POTE generator: ~14/11 = 421.309
| | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
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| Map: [<1 0 1 3|, <0 8 7 2|]
| | Scales: |
| EDOs: 17, 20, 37, 57, 94, 225
| | * [[Pepperoni7]] – 7-tone albitonic scale |
| Error: 2.665 cents
| | * [[Pepperoni12]] – 12-tone chromatic scale |
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| [[bossier8|Eight note albitonic scale]]
| | == Wizz == |
| [[bossier11|Eleven note chromatic scale]]
| | {{See also| No-threes subgroup temperaments #Wizz }} |
| [[bossier14|Fourteen note mega chromatic scale]]
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| =Radon=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Wizz6]] – 6-tone haplotonic scale |
| Commas: 896/891, 1029/1024
| | * [[Wizz10]] – 10-tone albitonic scale |
| Sval name: 5&36
| | * [[Wizz16]] – 16-tone chromatic scale |
| Related temperament: [[Gamelismic clan|Rodan]]
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| POTE generator: ~8/7 = 234.381
| | == Bossier == |
| | {{See also| No-threes subgroup temperaments #Bossier }} |
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| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| EDOs: 5, 36, 41, 87, 128
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| Error: 2.925 cents
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| [[radon5|Five note haplotonic scale]] | | Scales: |
| [[radon11|Eleven note albitonic scale]] | | * [[Bossier8]] – 8-tone albitonic scale |
| [[radon16|Sixteen note chromatic scale]] | | * [[Bossier11]] – 11-tone chromatic scale |
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
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| =Silver= | | == Penta a.k.a. mechanism == |
| Subgroup: 2.5.7.13.17 | | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
| Commas: 170/169, 640/637, 5525/5488
| |
| Sval name: 10&27
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| POTE generator: ~13/8 = 842.711
| | Scales: |
| | * [[Penta5]] – 5-tone haplotonic scale |
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
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|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
| | == Bluebirds == |
| EDOs: 7, 10, 17, 27, 37, 47, 84, 131
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| Error: 3.437
| |
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| [[silver7|Seven note haplotonic scale]] | | Scales: |
| [[silver10|Ten note albitonic scale]] | | * [[Bluebirds6]] – 6-tone haplotonic scale |
| [[silver17|Seventeen note chromatic scale]] | | * [[Bluebirds7]] – 7-tone albitonic scale |
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
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| =Indium= | | == Marveltri == |
| Subgroup: 2.5/3.7/3.11/3 | | {{See also| Subgroup temperaments #Marveltri }} |
| Commas: 3025/3024, 3125/3087
| |
| Sval name: 8&33
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|
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|
| POTE generator: ~12/11 = 147.159
| | Scales: |
| | * [[Marveltri7]] – 7-tone albitonic scale |
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
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|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | == Edson == |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| | {{See also| Subgroup temperaments #Edson }} |
| Error: 3.968 cents
| |
|
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| [[indium8|Eight note albitonic scale]] | | Scales: |
| [[indium17|Seventeen note chromatic scale]] | | * [[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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| =Hemif= | | == Photia == |
| Subgroup: 2.3.7.11.13
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
| Commas: 144/143, 243/242, 364/363
| |
| Related temperament: [[Breedsmic temperaments|Hemififths]]
| |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 41, 58
| | * [[Photia7]] – 7-tone albitonic scale |
| Error: 4.867 cents
| | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| [[hemif7|Seven note haplotonic scale]]
| | == Shoe a.k.a. llywelyn == |
| [[hemif10|Ten note albitonic scale]]
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| [[hemif17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Skwares=
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
| Subgroup: 2.3.7.11
| |
| Commas: 99/98, 243/242
| |
| Related temperament: [[Meantone family|squares]]
| |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | Scales: |
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | == Roulette == |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | {{See also | Hemimean clan #Roulette }} |
| Error: 4.942 cents
| |
|
| |
|
| [[skwares8|Eight note albitonic scale]] | | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| [[skwares11|Eleven note mega albitonic scale]]
| |
| [[skwares14|Fourteen note chromatic scale]]
| |
|
| |
|
| =Greeley=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3
| | * [[Roulette6]] – 6-tone haplotonic scale |
| Commas: 121/120, 126/125
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | == Silver == |
| | {{See also | No-threes subgroup temperaments #Silver }} |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| EDOs: 8, 15, 23, 77, 100
| |
| Error: 5.404 cents
| |
|
| |
|
| [[greeley8|Eight note albitonic scale]] | | Scales: |
| [[greeley15|Fifteen note chromatic scale]] | | * [[Silver7]] – 7-tone haplotonic scale |
| | * [[Silver10]] – 10-tone albitonic scale |
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| =Semidim= | | == Baldy == |
| Subgroup: 2.5/3.7/3.11/3.13/3 | | {{See also| Subgroup temperaments #Baldy }} |
| Commas: 121/120, 169/168, 275/273
| |
| Sval name: 8&29
| |
|
| |
|
| POTE generator: ~13/10 = 453.190
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | Scales |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| | * [[Baldy6]] – 6-tone haplotonic scale |
| Error: 5.433 cents
| | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| [[semidim8|Eight note albitonic scale]]
| |
| [[semidim13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Mohaha= | | == Guanyintet == |
| Subgroup: 2.3.5.11 | | {{See also | Subgroup temperaments #Guanyintet }} |
| Commas: 81/80, 121/120
| |
| Related temperament: [[Meantone family|mohajira]]
| |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | Scales: |
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | == Radon == |
| EDOs: 7, 10, 17, 24, 31, 131
| | {{See also| Gamelismic clan #Radon }} |
| Error: 6.733 cents
| |
|
| |
|
| [[mohaha7|Seven note albitonic scale]] | | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| [[mohaha10|Ten note chromatic scale]]
| |
|
| |
|
| ==Mohoho==
| | * [[Radon5]] – 5-tone haplotonic scale |
| Subgroup: 2.3.5.11.13
| | * [[Radon11]] – 11-tone albitonic scale |
| Commas: 66/65, 81/80, 121/120
| | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | == Gariberttet == |
| | {{See also | Subgroup temperaments #Gariberttet }} |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 31, 55
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Error: 9.556 cents
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| =Tutone= | | == Namo == |
| Subgroup: 2.9.5.7.11
| | {{See also| Rastmic clan #Namo }} |
| Commas: 81/80, 99/98, 126/125
| |
| Related temperament: [[Meantone family|meantone]]
| |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | Scales: |
| | * [[Namo7]] – 7-tone haplotonic scale |
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | == Sentry == |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| | {{See also | Subgroup temperaments #Sentry }} |
| Error: 7.047 cents
| |
|
| |
|
| [[tutone6|Six note haplotonic scale]] | | Scales: |
| [[tutone7|Seven note albitonic scale]] | | * [[Sentry5]] – 5-tone haplotonic scale |
| [[tutone13|Thirteen note chromatic scale]] | | * [[Sentry8]] – 8-tone albitonic scale |
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| ==Leantone== | | == Hemif == |
| Subgroup: 2.9.5.7.11
| | {{See also| No-fives subgroup temperaments #Hemif }} |
| Commas: 45/44, 56/55, 81/80
| |
| Related temperament: [[Meantone family|flattone]]
| |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| | * [[Hemif7]] – 7-tone haplotonic scale |
| Error: 20.338 cents
| | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| [[leantone6|Six note haplotonic scale]]
| | == Garibaldi == |
| [[leantone7|Seven note albitonic scale]]
| | {{Main| Garibaldi temperament }} |
| [[leantone13|Thirteen note chromatic scale]]
| | {{See also| Schismatic family #Garibaldi }} |
|
| |
|
| =Score=
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| Subgroup: 2.7.11.13
| |
| Commas: 343/338, 847/832
| |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | Scales: |
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | == Mabilic == |
| EDOs: 5, 7, 9, 11, 20
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| Error: 8.052 cents
| |
|
| |
|
| [[score5|Five note haplotonic scale]] | | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| [[score7|Seven note albitonic scale]]
| |
| [[score9|Nine note mega albitonic scale]]
| |
| [[score11|Eleven note chromatic scale]]
| |
|
| |
|
| =Supra=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| Commas: 64/63, 99/98
| | * [[Mabilic9]] – 9-tone albitonic scale |
| Related temperament: [[Archytas clan|superpyth]]
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | == Indium == |
| | {{See also | Subgroup temperaments #Indium }} |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| |
| Error: 9.795 cents
| |
|
| |
|
| [[supra7|Seven note albitonic scale]] | | Scales: |
| [[supra12|Twelve note chromatic scale]] | | * [[Indium8]] – 8-tone albitonic scale |
| | * [[Indium17]] – 17-tone chromatic scale |
|
| |
|
| ==Supraphon==
| | ; Music |
| Subgroup: 2.3.7.11.13
| | * ''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] |
| Commas: 64/63, 78/77, 99/98
| |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | == Starlingtet == |
| | {{See also | Subgroup temperaments #Starlingtet }} |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | Scales: |
| EDOs: 5, 7, 12, 17
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| Error: 10.534 cents
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| ==Machine== | | == Lovecraft == |
| Subgroup: 2.9.7.11
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
| Commas: 64/63, 99/98
| |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | Scales: |
| EDOs: 5, 6, 11, 17, 28
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| Error: 10.100 cents
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| [[machine5|Five note haplotonic scale]]
| | == Blackbirds == |
| [[machine6|Six note albitonic scale]]
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| [[machine11|Eleven note chromatic scale]]
| |
|
| |
|
| =Augment=
| | Scales: |
| Subgroup: 2.5.7.11
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| Commas: 56/55, 128/125
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| Related temperament: [[Augmented family|augmented]]
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~8/7
| | == Laz == |
| | {{See also | Subgroup temperaments #Laz }} |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | Scales: |
| EDOs: 3, 6, 9, 15, 21
| | * [[Laz5]] – 5-tone haplotonic scale |
| Error: 12.830 cents
| | * [[Laz9]] – 9-tone albitonic scale |
| | * [[Laz13]] – 13-tone chromatic scale |
|
| |
|
| [[augment6|Six note haplotonic scale]] | | == Myna == |
| [[augment9|Nine note albitonic scale]] | | {{Main| Myna }} |
| [[augment12|Twelve note chromatic scale]] | | {{See also| Starling temperaments #Myna }} |
| </pre></div>
| | |
| <h4>Original HTML content:</h4>
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| <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><!-- ws:start:WikiTextTocRule:54:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: -->
| | |
| <!-- ws:end:WikiTextTocRule:82 --><br />
| | Scales: |
| <br />
| | * [[Myna7]] – 7-tone haplotonic scale |
| 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 />
| | * [[Myna11]] – 11-tone albitonic scale |
| <br />
| | * [[Myna15]] – 15-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1>
| | |
| Subgroup: 2.9/5.9/7<br />
| | == Greeley == |
| Commas: 250047/250000<br />
| | {{See also| Subgroup temperaments #Greeley }} |
| Sval name: 6&amp;21<br />
| | |
| Related temperament: <a class="wiki_link" href="/Minortonic%20family#Domain">domain</a><br />
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| <br />
| | |
| POTE generator: ~10/9 = 182.462<br />
| | Scales: |
| <br />
| | * [[Greeley8]] – 8-tone albitonic scale |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | * [[Greeley15]] – 15-tone chromatic scale |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | |
| Error: 0.0443 cents<br />
| | ; Music |
| <br />
| | * ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15] |
| 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 />
| | |
| <br />
| | == Ammon == |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | {{See also| Subgroup temperaments #Ammon }} |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | |
| <br />
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| <!-- 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 />
| | * [[Ammon8]] – 8-tone albitonic scale |
| Sval name: 5&amp;24<br />
| | * [[Ammon13]] – 13-tone chromatic scale |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabdos</a><br />
| | |
| <br />
| | == Mothwelltri == |
| POTE generator: ~15/13 = 248.285<br />
| | {{See also| Subgroup temperaments #Mothwelltri }} |
| <br />
| | |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | Scales: |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| Error: 0.8996 cents<br />
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| <br />
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
| | == Sulis == |
| <br />
| | {{See also| Subgroup temperaments #Sulis }} |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:4 -->Cata</h1>
| | |
| Subgroup: 2.3.5.13<br />
| | Scales: |
| Commas: 325/324, 625/624<br />
| | * [[Sulis7]] – 7-tone haplotonic scale |
| Sval name: 15&amp;19<br />
| | * [[Sulis10]] – 10-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | * [[Sulis13]] – 13-tone chromatic scale |
| <br />
| | |
| POTE generator: ~6/5 = 317.076<br />
| | == Skwares == |
| <br />
| | {{Main| Squares }} |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br />
| | |
| Error: 0.9355 cents<br />
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| <br />
| | |
| <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br />
| | * [[Skwares8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/cata15">Fifteen note chromatic scale</a><br />
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| <a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br />
| | * [[Skwares14]] – 14-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:6 -->Tridec</h1>
| | == Orwell == |
| Subgroups: 2.7/5.11/5.13/5<br />
| | {{Main| Orwell }} |
| Commas: 847/845, 1001/1000<br />
| | {{See also| Semicomma family #Orwell }} |
| Sval name: 5&amp;8<br />
| | |
| <br />
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| POTE generator: ~13/10 = 454.461<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
| | * [[Orwell5]] – 5-tone haplotonic scale |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235<br />
| | * [[Orwell9]] – 9-tone albitonic scale |
| Error: 1.057<br />
| | * [[Orwell13]] – 13-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/Tridec8">Eight note albitonic scale</a><br />
| | == Magicaltet == |
| <a class="wiki_link" href="/Tridec13">Thirteen note chromatic scale</a><br />
| | {{See also| Subgroup temperaments #Magicaltet }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:8 -->Pepperoni</h1>
| | Scales: |
| Subgroup: 2.3.11/7.13/7<br />
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| Commas: 352/351, 364/363<br />
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| Sval name: 5&amp;12<br />
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
| 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 />
| | |
| <br />
| | == Magic == |
| POTE generator: ~3/2 = 704.052<br />
| | {{Main| Magic }} |
| <br />
| | {{See also| Magic family #Magic }} |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| Error: 1.298 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | * [[Magic7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | * [[Magic10]] – 10-tone albitonic scale |
| <br />
| | * [[Magic13]] – 13-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:10 -->Nestoria</h1>
| | * [[Magic16]] – 16-tone mega-chromatic scale |
| Subgroup: 2.3.5.19<br />
| | |
| Commas: 361/360, 513/512<br />
| | == Kiribati == |
| Sval name: 12&amp;29<br />
| | {{See also| Subgroup temperaments #Kiribati }} |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~3/2 = 701.746<br />
| | * [[Kiribati13]] – 13-tone chromatic scale |
| <br />
| | * [[Kiribati14]] – 14-tone chromatic scale |
| Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br />
| | |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| | == Score == |
| Error: 1.819 cents<br />
| | {{See also|No-threes subgroup temperaments #Score }} |
| <br />
| | |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Nestoria-Photia"></a><!-- ws:end:WikiTextHeadingRule:12 -->Photia</h2>
| | * [[Score5]] – 5-tone haplotonic scale |
| Subgroup 2.3.5.17.19<br />
| | * [[Score7]] – 7-tone albitonic scale |
| Commas: 171/170, 256/255, 324/323<br />
| | * [[Score9]] – 9-tone mega-albitonic scale |
| Sval name: 12&amp;41<br />
| | * [[Score11]] – 11-tone chromatic scale |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | |
| <br />
| | == Sensi == |
| POTE generator: ~3/2 = 701.470<br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| Error: 3.457 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| <br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:14 -->Huntington</h1>
| | * [[Sensi19]] – 19-tone chromatic scale |
| Subgroup: 2.5.7.13<br />
| | |
| Commas: 640/637, 10985/10976<br />
| | === Sensation === |
| Sval name: 10&amp;27<br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| POTE generator: ~16/13 = 357.002<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| Error: 2.1001 cents<br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Sensi19]] – 19-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 />
| | == Meantone == |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | {{Main| Meantone }} |
| <br />
| | {{See also| Meantone family #Meantone }} |
| <!-- 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:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| 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 />
| | * [[Meantone5]] – 5-tone haplotonic scale |
| <br />
| | * [[Meantone7]] – 7-tone albitonic scale |
| POTE generator: ~28/25 = 194.594<br />
| | * [[Meantone12]] – 12-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br />
| | == Mohaha == |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | {{See also| Rastmic clan #Mohaha }} |
| Error: 2.555 cents<br />
| | |
| <br />
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| <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 />
| | * [[Mohaha7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/roulette19">Nineteen note mega chromatic scale</a><br />
| | * [[Mohaha10]] – 10-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:18 -->Baldy</h1>
| | Music: |
| Subgroup: 2.9.5.7.13<br />
| | ; [[Billy Stiltner]] |
| Commas: 225/224, 325/324, 640/637<br />
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| Sval name: 6&amp;35<br />
| | |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
| | === Mohoho === |
| <br />
| | {{See also| Rastmic clan #Mohoho }} |
| POTE generator: ~9/8 = 204.090<br />
| | |
| <br />
| | == Joan == |
| Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]<br />
| | {{See also| Subgroup temperaments #Joan }} |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br />
| | |
| Error: 2.617 cents<br />
| | Scales: |
| <br />
| | * [[Joan5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br />
| | * [[Joan7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/baldy11">Eleven note albitonic scale</a><br />
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| <a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br />
| | * [[Joan11]] – 11-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:20 -->Bossier</h1>
| | == Tutone == |
| Subgroup: 2.7.11.13<br />
| | {{See also| Hemimean clan #Tutone }} |
| Commas: 1573/1569, 15488/15379<br />
| | |
| Sval name: 3&amp;17<br />
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| <br />
| | |
| POTE generator: ~14/11 = 421.309<br />
| | Scales: |
| <br />
| | * [[Tutone6]] – 6-tone haplotonic scale |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| | * [[Tutone7]] – 7-tone albitonic scale |
| EDOs: 17, 20, 37, 57, 94, 225<br />
| | * [[Tutone13]] – 13-tone chromatic scale |
| Error: 2.665 cents<br />
| | |
| <br />
| | == Stacks == |
| <a class="wiki_link" href="/bossier8">Eight note albitonic scale</a><br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| <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 />
| | Scales: |
| <br />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:22 -->Radon</h1>
| | * [[Stacks8]] – 8-tone albitonic scale |
| Subgroup: 2.3.7.11<br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| Commas: 896/891, 1029/1024<br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| Sval name: 5&amp;36<br />
| | |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><br />
| | == Bleu == |
| <br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| POTE generator: ~8/7 = 234.381<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| | * [[Bleu8]] – 8-tone haplotonic scale |
| EDOs: 5, 36, 41, 87, 128<br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| Error: 2.925 cents<br />
| | * [[Bleu17]] – 17-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
| | == Sephiroth == |
| <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:24 -->Silver</h1>
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| Subgroup: 2.5.7.13.17<br />
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| Commas: 170/169, 640/637, 5525/5488<br />
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| Sval name: 10&amp;27<br />
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| <br />
| | |
| POTE generator: ~13/8 = 842.711<br />
| | == Archy == |
| <br />
| | {{Main| Superpyth }} |
| Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br />
| | {{See also| Archytas clan #Archy }} |
| EDOs: 7, 10, 17, 27, 37, 47, 84, 131<br />
| | |
| Error: 3.437<br />
| | Scales: |
| <br />
| | * [[Archy5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/silver7">Seven note haplotonic scale</a><br />
| | * [[Archy7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/silver10">Ten note albitonic scale</a><br />
| | * [[Archy12]] – 12-tone chromatic scale |
| <a class="wiki_link" href="/silver17">Seventeen note chromatic scale</a><br />
| | |
| <br />
| | === Supra === |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:26 -->Indium</h1>
| | {{Main| Superpyth }} |
| Subgroup: 2.5/3.7/3.11/3<br />
| | {{See also| Archytas clan #Supra }} |
| Commas: 3025/3024, 3125/3087<br />
| | |
| Sval name: 8&amp;33<br />
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| <br />
| | |
| POTE generator: ~12/11 = 147.159<br />
| | Scales: |
| <br />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br />
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| EDOs: 33, 41, 49, 57, 106, 204, 253<br />
| | |
| Error: 3.968 cents<br />
| | === Supraphon === |
| <br />
| | {{Main| Superpyth }} |
| <a class="wiki_link" href="/indium8">Eight note albitonic scale</a><br />
| | {{See also| Archytas clan #Supraphon }} |
| <a class="wiki_link" href="/indium17">Seventeen note chromatic scale</a><br />
| | |
| <br />
| | == Suhajira == |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:28 -->Hemif</h1>
| | {{See also| Archytas clan #Suhajira }} |
| Subgroup: 2.3.7.11.13<br />
| | |
| Commas: 144/143, 243/242, 364/363<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br />
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| <br />
| | * [[Suhajira10]] – 10-tone albitonic scale |
| POTE generator: ~11/9 = 351.691<br />
| | * [[Suhajira17]] – 17-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| | == Machine == |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| | {{See also| Subgroup temperaments #Machine}} |
| Error: 4.867 cents<br />
| | |
| <br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| <a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/hemif10">Ten note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br />
| | * [[Machine5]] – 5-tone haplotonic scale |
| <br />
| | * [[Machine6]] – 6-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:30 -->Skwares</h1>
| | * [[Machine11]] – 11-tone chromatic scale |
| Subgroup: 2.3.7.11<br />
| | |
| Commas: 99/98, 243/242<br />
| | == Deutone == |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">squares</a><br />
| | {{See also| Hemimean clan #Deutone }} |
| <br />
| | |
| POTE generator: ~9/7 = 425.244<br />
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| <br />
| | |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| | Scales: |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| | * [[Deutone6]] – 6-tone haplotonic scale |
| Error: 4.942 cents<br />
| | * [[Deutone7]] – 7-tone albitonic scale |
| <br />
| | * [[Deutone13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="/skwares8">Eight note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/skwares11">Eleven note mega albitonic scale</a><br />
| | == Negra == |
| <a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br />
| | {{Main| Negri }} |
| <br />
| | {{See also| Marvel temperaments #Negri }} |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:32 -->Greeley</h1>
| | |
| Subgroup: 2.5/3.7/3.11/3<br />
| | == Porkypine == |
| Commas: 121/120, 126/125<br />
| | {{Main| Porcupine }} |
| <br />
| | {{See also| Porcupine family #Porcupine }} |
| POTE generator: ~11/10 = 156.055<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| EDOs: 8, 15, 23, 77, 100<br />
| | * [[Porkypine8]] – 8-tone albitonic scale |
| Error: 5.404 cents<br />
| | * [[Porkypine15]] – 15-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br />
| | == Skateboard == |
| <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br />
| | {{See also| Subgroup temperaments #Skateboard }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:34 -->Semidim</h1>
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3.13/3<br />
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| Commas: 121/120, 169/168, 275/273<br />
| | * [[Skateboard11]] – 11-tone albitonic scale |
| Sval name: 8&amp;29<br />
| | * [[Skateboard15]] – 15-tone chromatic scale |
| <br />
| | |
| POTE generator: ~13/10 = 453.190<br />
| | == Augment == |
| <br />
| | {{See also| No-threes subgroup temperaments #Augment }} |
| Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br />
| | |
| EDOs: 5, 8, 13, 21, 29, 37, 45<br />
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| Error: 5.433 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/semidim8">Eight note albitonic scale</a><br />
| | * [[Augment6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/semidim13">Thirteen note chromatic scale</a><br />
| | * [[Augment9]] – 9-tone albitonic scale |
| <br />
| | * [[Augment12]] – 12-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:36 -->Mohaha</h1>
| | |
| Subgroup: 2.3.5.11<br />
| | == Semaphore == |
| Commas: 81/80, 121/120<br />
| | {{Main| Semaphore and godzilla }} |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">mohajira</a><br />
| | {{See also| Semaphoresmic clan #Semaphore }} |
| <br />
| | |
| POTE generator: ~11/9 = 348.094<br />
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| <br />
| | |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| | Scales: |
| EDOs: 7, 10, 17, 24, 31, 131<br />
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| Error: 6.733 cents<br />
| | * [[Semaphore9]] – 9-tone albitonic scale |
| <br />
| | * [[Semaphore14]] – 14-tone chromatic scale |
| <a class="wiki_link" href="/mohaha7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br />
| | == Kryptonite == |
| <br />
| | {{See also| Subgroup temperaments #Kryptonite }} |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:38 -->Mohoho</h2>
| | |
| Subgroup: 2.3.5.11.13<br />
| | Scales: |
| Commas: 66/65, 81/80, 121/120<br />
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| <br />
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| POTE generator: ~11/9 = 348.916<br />
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
| <br />
| | |
| Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
| | == Oregon == |
| EDOs: 7, 10, 17, 24, 31, 55<br />
| | {{See also| Orgonia #Oregon }} |
| Error: 9.556 cents<br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:40 -->Tutone</h1>
| | * [[Oregon7]] – 7-tone haplotonic scale |
| Subgroup: 2.9.5.7.11<br />
| | * [[Oregon11]] – 11-tone albitonic scale |
| Commas: 81/80, 99/98, 126/125<br />
| | * [[Oregon15]] – 15-tone chromatic scale |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">meantone</a><br />
| | |
| <br />
| | == Antikythera == |
| POTE generator: ~9/8 = 193.937<br />
| | {{See also| Jubilismic clan #Antikythera }} |
| <br />
| | |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 99<br />
| | |
| Error: 7.047 cents<br />
| | Scales: |
| <br />
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/tutone6">Six note haplotonic scale</a><br />
| | * [[Antikythera10]] – 10-tone albitonic scale |
| <a class="wiki_link" href="/tutone7">Seven note albitonic scale</a><br />
| | * [[Antikythera16]] – 16-tone chromatic scale |
| <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br />
| | |
| <br />
| | == Glacial == |
| <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Tutone-Leantone"></a><!-- ws:end:WikiTextHeadingRule:42 -->Leantone</h2>
| | {{See also| Subgroup temperaments #Glacial }} |
| Subgroup: 2.9.5.7.11<br />
| | |
| Commas: 45/44, 56/55, 81/80<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">flattone</a><br />
| | * [[Glacial6]] – 6-tone haplotonic scale |
| <br />
| | * [[Glacial7]] – 7-tone albitonic scale |
| POTE generator: ~9/8 = 192.500<br />
| | * [[Glacial13]] – 13-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
| | == Leantone == |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
| | {{See also| Hemimean clan #Leantone }} |
| Error: 20.338 cents<br />
| | |
| <br />
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| <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 />
| | * [[Leantone6]] – 6-tone haplotonic scale |
| <br />
| | * [[Leantone7]] – 7-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:44 -->Score</h1>
| | * [[Leantone13]] – 13-tone chromatic scale |
| Subgroup: 2.7.11.13<br />
| | |
| Commas: 343/338, 847/832<br />
| | == Notes == |
| <br />
| | |
| POTE generator: ~11/8 = 540.099<br />
| | [[Category:Lists of scales]] |
| <br />
| | [[Category:Tempered scales| ]] |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| | [[Category:Listen]] |
| EDOs: 5, 7, 9, 11, 20<br />
| | [[Category:Rank 2]] |
| Error: 8.052 cents<br />
| | |
| <br />
| | {{todo|cleanup}} |
| <a class="wiki_link" href="/score5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/score7">Seven note albitonic scale</a><br />
| |
| <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 />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id="toc23"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:46 -->Supra</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| Related temperament: <a class="wiki_link" href="/Archytas%20clan">superpyth</a><br />
| |
| <br />
| |
| POTE generator: ~3/2 = 707.192<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br />
| |
| EDOs: 5, 7, 12, 17, 22, 39, 56<br />
| |
| Error: 9.795 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/supra7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:48 -->Supraphon</h2>
| |
| Subgroup: 2.3.7.11.13<br />
| |
| Commas: 64/63, 78/77, 99/98<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 706.137<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br />
| |
| EDOs: 5, 7, 12, 17<br />
| |
| Error: 10.534 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:50 -->Machine</h2>
| |
| Subgroup: 2.9.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| <br />
| |
| POTE generator: ~9/8 = 214.384<br />
| |
| <br />
| |
| Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br />
| |
| EDOs: 5, 6, 11, 17, 28<br />
| |
| Error: 10.100 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/machine5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/machine6">Six note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/machine11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:52:&lt;h1&gt; --><h1 id="toc26"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:52 -->Augment</h1>
| |
| Subgroup: 2.5.7.11<br />
| |
| Commas: 56/55, 128/125<br />
| |
| Related temperament: <a class="wiki_link" href="/Augmented%20family">augmented</a><br />
| |
| <br />
| |
| POTE generator: ~8/7<br />
| |
| <br />
| |
| Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br />
| |
| EDOs: 3, 6, 9, 15, 21<br />
| |
| Error: 12.830 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/augment6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/augment9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/augment12">Twelve note chromatic scale</a></body></html></pre></div>
| |