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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:hstraub|hstraub]] and made on <tt>2011-06-22 09:58:57 UTC</tt>.<br>
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| : The original revision id was <tt>238165071</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">By a //chromatic pair// is meant a pair of [[MOSScales|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.
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| [[toc|flat]] | | In the sections below, the pair temperaments are listed in order of increasing [[Tp tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full ''p''-limit groups. |
| ----
| |
|
| |
|
| =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 |
|
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|
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
| | ; Music |
| | * ''5 5 1 mode of 33 equal'' (2013) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ blog] | [https://www.youtube.com/watch?v=2gYdUOPHXSQ YouTube] | [https://web.archive.org/web/20201127015117/http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play] |
|
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| [[terrain9|Nine note albitonic scale]]
| | == Petrtri == |
| [[terrain15|Fifteen note chromatic scale]]
| | {{See also| Subgroup temperaments #Petrtri }} |
|
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|
| =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|barabados]]
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|
| |
|
| 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 }} |
|
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|
| [[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 |
|
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|
| =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]]
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|
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|
| POTE generator: ~6/5 = 317.076
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
|
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|
| Map: [<1 0 1 0|, <0 6 5 14|]
| | Scales: |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333
| | * [[Tridec8]] – 8-tone albitonic scale |
| Error: 0.9355 cents
| | * [[Tridec13]] – 13-tone chromatic scale |
|
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|
| [[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]]
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|
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|
| =Tridec=
| | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
| Subgroup: 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 }} |
|
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|
| [[Tridec8|Eight note albitonic scale]] | | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
| [[Tridec13|Thirteen note chromatic scale]]
| |
|
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|
| =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.
| |
|
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| POTE generator: ~3/2 = 704.052
| | == Marveltwintri == |
| | {{See also| Subgroup temperaments #Marveltwintri }} |
|
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|
| 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
| |
|
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|
| [[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 |
|
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|
| =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]] |
|
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|
| 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 |
|
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|
| [[nestoria7|Seven note albitonic scale]]
| | == Bridgetown == |
| [[nestoria12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Bridgetown }} |
|
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|
| =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]]
| |
|
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|
| 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
| |
|
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|
| [[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 |
|
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|
| =Garibaldi= | | == Huntington == |
| Group: 2.3.5.7
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| Commas: 225/224, 3125/3087
| |
| Val name: 12&29
| |
|
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|
| POTE generator: ~3/2 = 702.085
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
|
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|
| Map: [<1 0 15 25|, <0 1 -8 -14|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 94
| | * [[Huntington7]] – 7-tone haplotonic scale |
| Error: 2.834
| | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
|
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|
| [[garibaldi12|Twelve note albitonic scale]]
| | == Tobago == |
| [[garibaldi17|Seventeen note chromatic scale]]
| | {{See also| Subgroup temperaments #Tobago }} |
|
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|
| =Baldy=
| | Scales: |
| Subgroup: 2.9.5.7.13
| | * [[Tobago6]] – 6-tone haplotonic scale |
| Commas: 225/224, 325/324, 640/637
| | * [[Tobago10]] – 10-tone albitonic scale |
| Sval name: 6&35
| | * [[Tobago14]] – 14-tone chromatic scale |
| Related temperament: [[Schismatic family|Garibaldi]]
| | * [[Tobago24]] – 24-tone quatertone scale |
|
| |
|
| POTE generator: ~9/8 = 204.090
| | == Pepperoni == |
| | {{See also| Parapyth }} |
| | {{See also| Subgroup temperaments #Pepperoni }} |
|
| |
|
| Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|]
| | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
| |
| Error: 2.617 cents
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|
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|
| [[baldy6|Six note haplotonic scale]] | | Scales: |
| [[baldy11|Eleven note albitonic scale]] | | * [[Pepperoni7]] – 7-tone albitonic scale |
| [[baldy17|Seventeen note chromatic scale]]
| | * [[Pepperoni12]] – 12-tone chromatic scale |
|
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|
| =Bossier= | | == Wizz == |
| Subgroup: 2.7.11.13
| | {{See also| No-threes subgroup temperaments #Wizz }} |
| Commas: 1573/1569, 15488/15379
| |
| Sval name: 3&17
| |
|
| |
|
| POTE generator: ~14/11 = 421.309
| | Scales: |
| | * [[Wizz6]] – 6-tone haplotonic scale |
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
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|
| Map: [<1 0 1 3|, <0 8 7 2|]
| | == Bossier == |
| EDOs: 17, 20, 37, 57, 94, 225
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| Error: 2.665 cents
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|
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|
| [[bossier8|Eight note albitonic scale]] | | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| [[bossier11|Eleven note chromatic scale]]
| |
| [[bossier14|Fourteen note mega chromatic scale]]
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|
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|
| =Radon=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Bossier8]] – 8-tone albitonic scale |
| Commas: 896/891, 1029/1024
| | * [[Bossier11]] – 11-tone chromatic scale |
| Sval name: 5&36
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
| Related temperament: [[Gamelismic clan|Rodan]]
| |
|
| |
|
| POTE generator: ~8/7 = 234.381
| | == Penta a.k.a. mechanism == |
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
|
| |
|
| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | Scales: |
| EDOs: 5, 36, 41, 87, 128
| | * [[Penta5]] – 5-tone haplotonic scale |
| Error: 2.925 cents
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[radon5|Five note haplotonic scale]]
| | == Bluebirds == |
| [[radon11|Eleven note albitonic scale]]
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
| [[radon16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Myna=
| | Scales: |
| Group: 2.3.5.7
| | * [[Bluebirds6]] – 6-tone haplotonic scale |
| Commas: 126/125, 1728/1715
| | * [[Bluebirds7]] – 7-tone albitonic scale |
| Val name: 4&27
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~6/5 = 310.146
| | == Marveltri == |
| | {{See also| Subgroup temperaments #Marveltri }} |
|
| |
|
| Map: [<1 9 9 8|, <0 -10 -9 -7|]
| | Scales: |
| EDOs: 4, 27, 31, 58, 89
| | * [[Marveltri7]] – 7-tone albitonic scale |
| Error: 3.310 cents
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
| |
|
| [[myna7|Seven note albitonic scale]]
| | == Edson == |
| [[myna11|Eleven note chromatic scale]]
| | {{See also| Subgroup temperaments #Edson }} |
| [[myna15|Fifteen note mega chromatic scale]]
| |
|
| |
|
| =Silver=
| | Scales: |
| Subgroup: 2.5.7.13.17
| | * [[Edson5]] – 5-tone haplotonic scale |
| Commas: 170/169, 640/637, 5525/5488
| | * [[Edson7]] – 7-tone albitonic scale |
| Sval name: 10&27
| | * [[Edson12]] – 12-tone chromatic scale |
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~13/8 = 842.711
| | == Photia == |
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
|
| |
|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| EDOs: 7, 10, 17, 27, 37, 47, 84, 131
| |
| Error: 3.437
| |
|
| |
|
| [[silver7|Seven note haplotonic scale]] | | Scales: |
| [[silver10|Ten note albitonic scale]] | | * [[Photia7]] – 7-tone albitonic scale |
| [[silver17|Seventeen note chromatic scale]]
| | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| =Meantone= | | == Shoe a.k.a. llywelyn == |
| Group: 2.3.5.7
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| Commas: 81/80, 126/125
| |
| Val name: 12&19
| |
|
| |
|
| POTE generator: 696.495
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
|
| |
|
| Map: [<1 0 -4 -13|, <0 1 4 10|]
| | Scales: |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| Error: 3.585
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| [[meantone5|Five note haplotonic scale]]
| | == Roulette == |
| [[meantone7|Seven note albitonic scale]]
| | {{See also | Hemimean clan #Roulette }} |
| [[meantone12|Twelve note chromatic scale]]
| |
|
| |
|
| =Indium=
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| Subgroup: 2.5/3.7/3.11/3
| |
| Commas: 3025/3024, 3125/3087
| |
| Sval name: 8&33
| |
|
| |
|
| POTE generator: ~12/11 = 147.159
| | Scales: |
| | * [[Roulette6]] – 6-tone haplotonic scale |
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | == Silver == |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| | {{See also | No-threes subgroup temperaments #Silver }} |
| Error: 3.968 cents
| |
|
| |
|
| [[indium8|Eight note albitonic scale]] | | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| [[indium17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Magic=
| | Scales: |
| Group: 2.3.5.7.11
| | * [[Silver7]] – 7-tone haplotonic scale |
| Commas: 100/99, 225/224, 245/243
| | * [[Silver10]] – 10-tone albitonic scale |
| Val name: 19&22
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~5/4 = 380.696
| | == Baldy == |
| | {{See also| Subgroup temperaments #Baldy }} |
|
| |
|
| Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
| EDOs: 19, 22, 41, 104, 145
| |
| Error: 4.489
| |
|
| |
|
| [[magic7|Seven note haplotonic scale]] | | Scales |
| [[magic10|Ten note albitonic scale]] | | * [[Baldy6]] – 6-tone haplotonic scale |
| [[magic13|Thirteen note chromatic scale]] | | * [[Baldy11]] – 11-tone albitonic scale |
| [[magic16|Sixteen note mega chromatic scale]]
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| =Hemif=
| |
| Subgroup: 2.3.7.11.13
| |
| Commas: 144/143, 243/242, 364/363
| |
| Related temperament: [[Breedsmic temperaments|Hemififths]]
| |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | == Guanyintet == |
| | {{See also | Subgroup temperaments #Guanyintet }} |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 41, 58
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Error: 4.867 cents
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| [[hemif7|Seven note haplotonic scale]]
| | == Radon == |
| [[hemif10|Ten note albitonic scale]]
| | {{See also| Gamelismic clan #Radon }} |
| [[hemif17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Skwares=
| | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| Subgroup: 2.3.7.11
| |
| Commas: 99/98, 243/242
| |
| Related temperament: [[Meantone family|squares]]
| |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | * [[Radon5]] – 5-tone haplotonic scale |
| | * [[Radon11]] – 11-tone albitonic scale |
| | * [[Radon16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | == Gariberttet == |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | {{See also | Subgroup temperaments #Gariberttet }} |
| Error: 4.942 cents
| |
|
| |
|
| [[skwares8|Eight note albitonic scale]] | | Scales: |
| [[skwares11|Eleven note mega albitonic scale]] | | * [[Gariberttet5]] – 5-tone haplotonic scale |
| [[skwares14|Fourteen note chromatic scale]] | | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| =Sensi= | | == Namo == |
| Group: 2.3.5.7
| | {{See also| Rastmic clan #Namo }} |
| Commas: 126/126, 245/243
| |
| Val name: 19&27
| |
|
| |
|
| POTE generator: ~9/7 = 443.383
| | Scales: |
| | * [[Namo7]] – 7-tone haplotonic scale |
| | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 6 8 11|, <0 -7 -9 -13|]
| | == Sentry == |
| EDOs: 5, 8, 11, 19, 27, 46
| | {{See also | Subgroup temperaments #Sentry }} |
| Error: 5.019
| |
|
| |
|
| [[sensi5|Five note haplotonic scale]] | | Scales: |
| [[sensi8|Eight note albitonic scale]] | | * [[Sentry5]] – 5-tone haplotonic scale |
| [[sensi11|Eleven note mega albitonic scale]] | | * [[Sentry8]] – 8-tone albitonic scale |
| [[sensi19|Nineteen note chromatic scale]]
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| =Greeley= | | == Hemif == |
| Subgroup: 2.5/3.7/3.11/3
| | {{See also| No-fives subgroup temperaments #Hemif }} |
| Commas: 121/120, 126/125
| |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | Scales: |
| EDOs: 8, 15, 23, 77, 100
| | * [[Hemif7]] – 7-tone haplotonic scale |
| Error: 5.404 cents
| | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| [[greeley8|Eight note albitonic scale]]
| | == Garibaldi == |
| [[greeley15|Fifteen note chromatic scale]]
| | {{Main| Garibaldi temperament }} |
| | {{See also| Schismatic family #Garibaldi }} |
|
| |
|
| =Semidim=
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| 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: |
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | == Mabilic == |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| Error: 5.433 cents
| |
|
| |
|
| [[semidim8|Eight note albitonic scale]] | | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| [[semidim13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Orwell=
| | Scales: |
| Group: 2.3.5.7.11
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| Commas: 99/98, 121/120, 176/175
| | * [[Mabilic9]] – 9-tone albitonic scale |
| Val name: 9&22
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: ~7/6 = 271.426
| | == Indium == |
| | {{See also | Subgroup temperaments #Indium }} |
|
| |
|
| Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| EDOs: 9, 22, 31, 53, 84
| |
| Error: 5.584
| |
|
| |
|
| [[orwell5|Five note haplotonic scale]] | | Scales: |
| [[orwell9|Nine note albitonic scale]] | | * [[Indium8]] – 8-tone albitonic scale |
| [[orwell13|Thirteen note chromatic scale]]
| | * [[Indium17]] – 17-tone chromatic scale |
|
| |
|
| =Mohaha=
| | ; Music |
| Subgroup: 2.3.5.11
| | * ''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: 81/80, 121/120
| |
| Related temperament: [[Meantone family|mohajira]]
| |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | == Starlingtet == |
| | {{See also | Subgroup temperaments #Starlingtet }} |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 31, 131
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| Error: 6.733 cents
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| [[mohaha7|Seven note albitonic scale]]
| | == Lovecraft == |
| [[mohaha10|Ten note chromatic scale]]
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
|
| |
|
| ==Mohoho==
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| Subgroup: 2.3.5.11.13
| |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | Scales: |
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | == Blackbirds == |
| EDOs: 7, 10, 17, 24, 31, 55
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| Error: 9.556 cents
| |
|
| |
|
| =Tutone=
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| Commas: 81/80, 99/98, 126/125
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| Related temperament: [[Meantone family|meantone]]
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | == Laz == |
| | {{See also | Subgroup temperaments #Laz }} |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| | * [[Laz5]] – 5-tone haplotonic scale |
| Error: 7.047 cents
| | * [[Laz9]] – 9-tone albitonic scale |
| | * [[Laz13]] – 13-tone chromatic scale |
|
| |
|
| [[tutone6|Six note haplotonic scale]]
| | == Myna == |
| [[tutone7|Seven note albitonic scale]]
| | {{Main| Myna }} |
| [[tutone13|Thirteen note chromatic scale]]
| | {{See also| Starling temperaments #Myna }} |
|
| |
|
| =Leantone=
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| Subgroup: 2.9.5.7.11
| |
| Commas: 45/44, 56/55, 81/80
| |
| Related temperament: [[Meantone family|flattone]]
| |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | Scales: |
| | * [[Myna7]] – 7-tone haplotonic scale |
| | * [[Myna11]] – 11-tone albitonic scale |
| | * [[Myna15]] – 15-tone chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | == Greeley == |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| | {{See also| Subgroup temperaments #Greeley }} |
| Error: 20.338 cents
| |
|
| |
|
| [[leantone6|Six note haplotonic scale]] | | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| [[leantone7|Seven note albitonic scale]]
| |
| [[leantone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Score=
| | Scales: |
| Subgroup: 2.7.11.13
| | * [[Greeley8]] – 8-tone albitonic scale |
| Commas: 343/338, 847/832
| | * [[Greeley15]] – 15-tone chromatic scale |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | ; Music |
| | * ''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] |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | == Ammon == |
| EDOs: 5, 7, 9, 11, 20
| | {{See also| Subgroup temperaments #Ammon }} |
| Error: 8.052 cents
| |
|
| |
|
| [[score5|Five note haplotonic scale]] | | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| [[score7|Seven note albitonic scale]]
| |
| [[score9|Nine note mega albitonic scale]]
| |
| [[score11|Eleven note chromatic scale]]
| |
|
| |
|
| =Supra=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Ammon8]] – 8-tone albitonic scale |
| Commas: 64/63, 99/98
| | * [[Ammon13]] – 13-tone chromatic scale |
| Related temperament: [[Archytas clan|superpyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | == Mothwelltri == |
| | {{See also| Subgroup temperaments #Mothwelltri }} |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | Scales: |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| Error: 9.795 cents
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
|
| |
|
| [[supra7|Seven note albitonic scale]]
| | == Sulis == |
| [[supra12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Sulis }} |
|
| |
|
| ==Supraphon==
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Sulis7]] – 7-tone haplotonic scale |
| Commas: 64/63, 78/77, 99/98
| | * [[Sulis10]] – 10-tone albitonic scale |
| | * [[Sulis13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | == Skwares == |
| | {{Main| Squares }} |
| | {{See also| No-fives subgroup temperaments #Skwares }} |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| EDOs: 5, 7, 12, 17
| |
| Error: 10.534 cents
| |
|
| |
|
| ==Machine==
| | Scales: |
| Subgroup: 2.9.7.11
| | * [[Skwares8]] – 8-tone albitonic scale |
| Commas: 64/63, 99/98
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| | * [[Skwares14]] – 14-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | == Orwell == |
| | {{Main| Orwell }} |
| | {{See also| Semicomma family #Orwell }} |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| EDOs: 5, 6, 11, 17, 28
| |
| Error: 10.100 cents
| |
|
| |
|
| [[machine5|Five note haplotonic scale]] | | Scales: |
| [[machine6|Six note albitonic scale]] | | * [[Orwell5]] – 5-tone haplotonic scale |
| [[machine11|Eleven note chromatic scale]] | | * [[Orwell9]] – 9-tone albitonic scale |
| | * [[Orwell13]] – 13-tone chromatic scale |
|
| |
|
| =Deutone= | | == Magicaltet == |
| Subgroup: 2.9.5.7.13 | | {{See also| Subgroup temperaments #Magicaltet }} |
| Commas: 65/64, 81/80, 91/90
| |
| Related temperament: [[Meantone family|meanpop]]
| |
|
| |
|
| POTE generator: ~9/8 = 191.059
| | Scales: |
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]
| | == Magic == |
| EDOs: 6, 7, 13, 19, 25, 44, 69
| | {{Main| Magic }} |
| Error: 12.145 cents
| | {{See also| Magic family #Magic }} |
|
| |
|
| [[deutone6|Six note haplotonic scale]] | | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| [[deutone7|seven note albitonic scale]]
| |
| [[deutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Augment=
| | Scales: |
| Subgroup: 2.5.7.11
| | * [[Magic7]] – 7-tone haplotonic scale |
| Commas: 56/55, 128/125
| | * [[Magic10]] – 10-tone albitonic scale |
| Related temperament: [[Augmented family|augmented]]
| | * [[Magic13]] – 13-tone chromatic scale |
| | * [[Magic16]] – 16-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~8/7 = 228.275
| | == Kiribati == |
| | {{See also| Subgroup temperaments #Kiribati }} |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | Scales: |
| EDOs: 3, 6, 9, 15, 21
| | * [[Kiribati13]] – 13-tone chromatic scale |
| Error: 12.830 cents
| | * [[Kiribati14]] – 14-tone chromatic scale |
|
| |
|
| [[augment6|Six note haplotonic scale]] | | == Score == |
| [[augment9|Nine note albitonic scale]] | | {{See also|No-threes subgroup temperaments #Score }} |
| [[augment12|Twelve note chromatic scale]]</pre></div> | | |
| <h4>Original HTML content:</h4>
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| <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 <a class="wiki_link" href="/MOSScales">MOS</a> 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 />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextTocRule:68:&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:68 --><!-- ws:start:WikiTextTocRule:69: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --><!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --><!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: -->
| | * [[Score5]] – 5-tone haplotonic scale |
| <!-- ws:end:WikiTextTocRule:103 --><hr />
| | * [[Score7]] – 7-tone albitonic scale |
| <br />
| | * [[Score9]] – 9-tone mega-albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1>
| | * [[Score11]] – 11-tone chromatic scale |
| Subgroup: 2.9/5.9/7<br />
| | |
| Commas: 250047/250000<br />
| | == Sensi == |
| Sval name: 6&amp;21<br />
| | {{Main| Sensi }} |
| Related temperament: <a class="wiki_link" href="/Minortonic%20family#Domain">domain</a><br />
| | {{See also| Sensipent family #Sensi }} |
| <br />
| | |
| POTE generator: ~10/9 = 182.462<br />
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| <br />
| | |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | Scales: |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Error: 0.0443 cents<br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| <br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | === Sensation === |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| <!-- 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 />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Sval name: 5&amp;24<br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabados</a><br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| POTE generator: ~15/13 = 248.285<br />
| | |
| <br />
| | == Meantone == |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | {{Main| Meantone }} |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | {{See also| Meantone family #Meantone }} |
| Error: 0.8996 cents<br />
| | |
| <br />
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
| | Scales: |
| <br />
| | * [[Meantone5]] – 5-tone haplotonic scale |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:4 -->Cata</h1>
| | * [[Meantone7]] – 7-tone albitonic scale |
| Subgroup: 2.3.5.13<br />
| | * [[Meantone12]] – 12-tone chromatic scale |
| Commas: 325/324, 625/624<br />
| | |
| Sval name: 15&amp;19<br />
| | == Mohaha == |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | {{See also| Rastmic clan #Mohaha }} |
| <br />
| | |
| POTE generator: ~6/5 = 317.076<br />
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| <br />
| | |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | Scales: |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 333<br />
| | * [[Mohaha7]] – 7-tone albitonic scale |
| Error: 0.9355 cents<br />
| | * [[Mohaha10]] – 10-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br />
| | Music: |
| <a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br />
| | ; [[Billy Stiltner]] |
| <a class="wiki_link" href="/cata15">Fifteen note chromatic scale</a><br />
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| <a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br />
| | |
| <br />
| | === Mohoho === |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:6 -->Tridec</h1>
| | {{See also| Rastmic clan #Mohoho }} |
| Subgroup: 2.7/5.11/5.13/5<br />
| | |
| Commas: 847/845, 1001/1000<br />
| | == Joan == |
| Sval name: 5&amp;8<br />
| | {{See also| Subgroup temperaments #Joan }} |
| <br />
| | |
| POTE generator: ~13/10 = 454.461<br />
| | Scales: |
| <br />
| | * [[Joan5]] – 5-tone haplotonic scale |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
| | * [[Joan7]] – 7-tone albitonic scale |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235<br />
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| Error: 1.057<br />
| | * [[Joan11]] – 11-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/Tridec8">Eight note albitonic scale</a><br />
| | == Tutone == |
| <a class="wiki_link" href="/Tridec13">Thirteen note chromatic scale</a><br />
| | {{See also| Hemimean clan #Tutone }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:8 -->Pepperoni</h1>
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| Subgroup: 2.3.11/7.13/7<br />
| | |
| Commas: 352/351, 364/363<br />
| | Scales: |
| Sval name: 5&amp;12<br />
| | * [[Tutone6]] – 6-tone haplotonic 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 />
| | * [[Tutone7]] – 7-tone albitonic scale |
| <br />
| | * [[Tutone13]] – 13-tone chromatic scale |
| POTE generator: ~3/2 = 704.052<br />
| | |
| <br />
| | == Stacks == |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | |
| Error: 1.298 cents<br />
| | Scales: |
| <br />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | * [[Stacks8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| <br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:10 -->Nestoria</h1>
| | |
| Subgroup: 2.3.5.19<br />
| | == Bleu == |
| Commas: 361/360, 513/512<br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| Sval name: 12&amp;29<br />
| | |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | Scales: |
| <br />
| | * [[Bleu8]] – 8-tone haplotonic scale |
| POTE generator: ~3/2 = 701.746<br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| <br />
| | * [[Bleu17]] – 17-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 />
| | == Sephiroth == |
| Error: 1.819 cents<br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| <br />
| | |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| <br />
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:12 -->Photia</h1>
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| Subgroup: 2.3.5.17.19<br />
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| Commas: 171/170, 256/255, 324/323<br />
| | |
| Sval name: 12&amp;41<br />
| | == Archy == |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | {{Main| Superpyth }} |
| <br />
| | {{See also| Archytas clan #Archy }} |
| POTE generator: ~3/2 = 701.470<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | * [[Archy5]] – 5-tone haplotonic scale |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | * [[Archy7]] – 7-tone albitonic scale |
| Error: 3.457 cents<br />
| | * [[Archy12]] – 12-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br />
| | === Supra === |
| <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br />
| | {{Main| Superpyth }} |
| <br />
| | {{See also| Archytas clan #Supra }} |
| <!-- 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 />
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| Commas: 640/637, 10985/10976<br />
| | |
| Sval name: 10&amp;27<br />
| | Scales: |
| <br />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| POTE generator: ~16/13 = 357.002<br />
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| <br />
| | |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | === Supraphon === |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | {{Main| Superpyth }} |
| Error: 2.1001 cents<br />
| | {{See also| Archytas clan #Supraphon }} |
| <br />
| | |
| <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br />
| | == Suhajira == |
| <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br />
| | {{See also| Archytas clan #Suhajira }} |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:16 -->Roulette</h1>
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| Subgroup: 2.5.7.11.13<br />
| | * [[Suhajira10]] – 10-tone albitonic scale |
| Commas: 176/175, 1375/1372, 640/637<br />
| | * [[Suhajira17]] – 17-tone chromatic scale |
| Sval name: 6&amp;25<br />
| | |
| Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| | == Machine == |
| <br />
| | {{See also| Subgroup temperaments #Machine}} |
| POTE generator: ~28/25 = 194.594<br />
| | |
| <br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]<br />
| | |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | Scales: |
| Error: 2.555 cents<br />
| | * [[Machine5]] – 5-tone haplotonic scale |
| <br />
| | * [[Machine6]] – 6-tone albitonic scale |
| <a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br />
| | * [[Machine11]] – 11-tone chromatic scale |
| <a class="wiki_link" href="/roulette7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/roulette13">Thirteen note chromatic scale</a><br />
| | == Deutone == |
| <a class="wiki_link" href="/roulette19">Nineteen note mega chromatic scale</a><br />
| | {{See also| Hemimean clan #Deutone }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:18 -->Garibaldi</h1>
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| Group: 2.3.5.7<br />
| | |
| Commas: 225/224, 3125/3087<br />
| | Scales: |
| Val name: 12&amp;29<br />
| | * [[Deutone6]] – 6-tone haplotonic scale |
| <br />
| | * [[Deutone7]] – 7-tone albitonic scale |
| POTE generator: ~3/2 = 702.085<br />
| | * [[Deutone13]] – 13-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]<br />
| | == Negra == |
| EDOs: 7, 12, 17, 29, 41, 53, 94<br />
| | {{Main| Negri }} |
| Error: 2.834<br />
| | {{See also| Marvel temperaments #Negri }} |
| <br />
| | |
| <a class="wiki_link" href="/garibaldi12">Twelve note albitonic scale</a><br />
| | == Porkypine == |
| <a class="wiki_link" href="/garibaldi17">Seventeen note chromatic scale</a><br />
| | {{Main| Porcupine }} |
| <br />
| | {{See also| Porcupine family #Porcupine }} |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:20 -->Baldy</h1>
| | |
| Subgroup: 2.9.5.7.13<br />
| | Scales: |
| Commas: 225/224, 325/324, 640/637<br />
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| Sval name: 6&amp;35<br />
| | * [[Porkypine8]] – 8-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
| | * [[Porkypine15]] – 15-tone chromatic scale |
| <br />
| | |
| POTE generator: ~9/8 = 204.090<br />
| | == Skateboard == |
| <br />
| | {{See also| Subgroup temperaments #Skateboard }} |
| Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]<br />
| | |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br />
| | Scales: |
| Error: 2.617 cents<br />
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| <br />
| | * [[Skateboard11]] – 11-tone albitonic scale |
| <a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br />
| | * [[Skateboard15]] – 15-tone chromatic scale |
| <a class="wiki_link" href="/baldy11">Eleven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br />
| | == Augment == |
| <br />
| | {{See also| No-threes subgroup temperaments #Augment }} |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:22 -->Bossier</h1>
| | |
| Subgroup: 2.7.11.13<br />
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| Commas: 1573/1569, 15488/15379<br />
| | |
| Sval name: 3&amp;17<br />
| | Scales: |
| <br />
| | * [[Augment6]] – 6-tone haplotonic scale |
| POTE generator: ~14/11 = 421.309<br />
| | * [[Augment9]] – 9-tone albitonic scale |
| <br />
| | * [[Augment12]] – 12-tone chromatic scale |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| | |
| EDOs: 17, 20, 37, 57, 94, 225<br />
| | == Semaphore == |
| Error: 2.665 cents<br />
| | {{Main| Semaphore and godzilla }} |
| <br />
| | {{See also| Semaphoresmic clan #Semaphore }} |
| <a class="wiki_link" href="/bossier8">Eight note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/bossier11">Eleven note chromatic scale</a><br />
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| <a class="wiki_link" href="/bossier14">Fourteen note mega chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:24 -->Radon</h1>
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| Subgroup: 2.3.7.11<br />
| | * [[Semaphore9]] – 9-tone albitonic scale |
| Commas: 896/891, 1029/1024<br />
| | * [[Semaphore14]] – 14-tone chromatic scale |
| Sval name: 5&amp;36<br />
| | |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><br />
| | == Kryptonite == |
| <br />
| | {{See also| Subgroup temperaments #Kryptonite }} |
| POTE generator: ~8/7 = 234.381<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| EDOs: 5, 36, 41, 87, 128<br />
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| Error: 2.925 cents<br />
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
| | == Oregon == |
| <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
| | {{See also| Orgonia #Oregon }} |
| <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:26 -->Myna</h1>
| | * [[Oregon7]] – 7-tone haplotonic scale |
| Group: 2.3.5.7<br />
| | * [[Oregon11]] – 11-tone albitonic scale |
| Commas: 126/125, 1728/1715<br />
| | * [[Oregon15]] – 15-tone chromatic scale |
| Val name: 4&amp;27<br />
| | |
| <br />
| | == Antikythera == |
| POTE generator: ~6/5 = 310.146<br />
| | {{See also| Jubilismic clan #Antikythera }} |
| <br />
| | |
| Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br />
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| EDOs: 4, 27, 31, 58, 89<br />
| | |
| Error: 3.310 cents<br />
| | Scales: |
| <br />
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/myna7">Seven note albitonic scale</a><br />
| | * [[Antikythera10]] – 10-tone albitonic scale |
| <a class="wiki_link" href="/myna11">Eleven note chromatic scale</a><br />
| | * [[Antikythera16]] – 16-tone chromatic scale |
| <a class="wiki_link" href="/myna15">Fifteen note mega chromatic scale</a><br />
| | |
| <br />
| | == Glacial == |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:28 -->Silver</h1>
| | {{See also| Subgroup temperaments #Glacial }} |
| Subgroup: 2.5.7.13.17<br />
| | |
| Commas: 170/169, 640/637, 5525/5488<br />
| | Scales: |
| Sval name: 10&amp;27<br />
| | * [[Glacial6]] – 6-tone haplotonic scale |
| <br />
| | * [[Glacial7]] – 7-tone albitonic scale |
| POTE generator: ~13/8 = 842.711<br />
| | * [[Glacial13]] – 13-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br />
| | == Leantone == |
| EDOs: 7, 10, 17, 27, 37, 47, 84, 131<br />
| | {{See also| Hemimean clan #Leantone }} |
| Error: 3.437<br />
| | |
| <br />
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| <a class="wiki_link" href="/silver7">Seven note haplotonic scale</a><br />
| | |
| <a class="wiki_link" href="/silver10">Ten note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/silver17">Seventeen note chromatic scale</a><br />
| | * [[Leantone6]] – 6-tone haplotonic scale |
| <br />
| | * [[Leantone7]] – 7-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:30 -->Meantone</h1>
| | * [[Leantone13]] – 13-tone chromatic scale |
| Group: 2.3.5.7<br />
| | |
| Commas: 81/80, 126/125<br />
| | == Notes == |
| Val name: 12&amp;19<br />
| | |
| <br />
| | [[Category:Lists of scales]] |
| POTE generator: 696.495<br />
| | [[Category:Tempered scales| ]] |
| <br />
| | [[Category:Listen]] |
| Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]<br />
| | [[Category:Rank 2]] |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143<br />
| | |
| Error: 3.585<br />
| | {{todo|cleanup}} |
| <br />
| |
| <a class="wiki_link" href="/meantone5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/meantone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/meantone12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:32 -->Indium</h1>
| |
| Subgroup: 2.5/3.7/3.11/3<br />
| |
| Commas: 3025/3024, 3125/3087<br />
| |
| Sval name: 8&amp;33<br />
| |
| <br />
| |
| POTE generator: ~12/11 = 147.159<br />
| |
| <br />
| |
| Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br />
| |
| EDOs: 33, 41, 49, 57, 106, 204, 253<br />
| |
| Error: 3.968 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/indium8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/indium17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:34 -->Magic</h1>
| |
| Group: 2.3.5.7.11<br />
| |
| Commas: 100/99, 225/224, 245/243<br />
| |
| Val name: 19&amp;22<br />
| |
| <br />
| |
| POTE generator: ~5/4 = 380.696<br />
| |
| <br />
| |
| Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br />
| |
| EDOs: 19, 22, 41, 104, 145<br />
| |
| Error: 4.489<br />
| |
| <br />
| |
| <a class="wiki_link" href="/magic7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/magic10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/magic13">Thirteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="/magic16">Sixteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:36 -->Hemif</h1>
| |
| Subgroup: 2.3.7.11.13<br />
| |
| Commas: 144/143, 243/242, 364/363<br />
| |
| Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br />
| |
| <br />
| |
| POTE generator: ~11/9 = 351.691<br />
| |
| <br />
| |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| |
| Error: 4.867 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/hemif10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:38 -->Skwares</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 99/98, 243/242<br />
| |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">squares</a><br />
| |
| <br />
| |
| POTE generator: ~9/7 = 425.244<br />
| |
| <br />
| |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| |
| Error: 4.942 cents<br />
| |
| <br />
| |
| <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 />
| |
| <a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:40 -->Sensi</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 126/126, 245/243<br />
| |
| Val name: 19&amp;27<br />
| |
| <br />
| |
| POTE generator: ~9/7 = 443.383<br />
| |
| <br />
| |
| Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br />
| |
| EDOs: 5, 8, 11, 19, 27, 46<br />
| |
| Error: 5.019<br />
| |
| <br />
| |
| <a class="wiki_link" href="/sensi5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/sensi8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/sensi11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="/sensi19">Nineteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:42 -->Greeley</h1>
| |
| Subgroup: 2.5/3.7/3.11/3<br />
| |
| Commas: 121/120, 126/125<br />
| |
| <br />
| |
| POTE generator: ~11/10 = 156.055<br />
| |
| <br />
| |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| |
| EDOs: 8, 15, 23, 77, 100<br />
| |
| Error: 5.404 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:44 -->Semidim</h1>
| |
| Subgroup: 2.5/3.7/3.11/3.13/3<br />
| |
| Commas: 121/120, 169/168, 275/273<br />
| |
| Sval name: 8&amp;29<br />
| |
| <br />
| |
| POTE generator: ~13/10 = 453.190<br />
| |
| <br />
| |
| Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br />
| |
| EDOs: 5, 8, 13, 21, 29, 37, 45<br />
| |
| Error: 5.433 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/semidim8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/semidim13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id="toc23"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:46 -->Orwell</h1>
| |
| Group: 2.3.5.7.11<br />
| |
| Commas: 99/98, 121/120, 176/175<br />
| |
| Val name: 9&amp;22<br />
| |
| <br />
| |
| POTE generator: ~7/6 = 271.426<br />
| |
| <br />
| |
| Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br />
| |
| EDOs: 9, 22, 31, 53, 84<br />
| |
| Error: 5.584<br />
| |
| <br />
| |
| <a class="wiki_link" href="/orwell5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/orwell9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/orwell13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:48 -->Mohaha</h1>
| |
| Subgroup: 2.3.5.11<br />
| |
| Commas: 81/80, 121/120<br />
| |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">mohajira</a><br />
| |
| <br />
| |
| POTE generator: ~11/9 = 348.094<br />
| |
| <br />
| |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| |
| EDOs: 7, 10, 17, 24, 31, 131<br />
| |
| Error: 6.733 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/mohaha7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:50 -->Mohoho</h2>
| |
| Subgroup: 2.3.5.11.13<br />
| |
| Commas: 66/65, 81/80, 121/120<br />
| |
| <br />
| |
| POTE generator: ~11/9 = 348.916<br />
| |
| <br />
| |
| Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br />
| |
| EDOs: 7, 10, 17, 24, 31, 55<br />
| |
| Error: 9.556 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:52:&lt;h1&gt; --><h1 id="toc26"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:52 -->Tutone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 81/80, 99/98, 126/125<br />
| |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">meantone</a><br />
| |
| <br />
| |
| POTE generator: ~9/8 = 193.937<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br />
| |
| EDOs: 6, 7, 13, 19, 25, 31, 99<br />
| |
| Error: 7.047 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/tutone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/tutone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:54:&lt;h1&gt; --><h1 id="toc27"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:54 -->Leantone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 45/44, 56/55, 81/80<br />
| |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">flattone</a><br />
| |
| <br />
| |
| POTE generator: ~9/8 = 192.500<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
| |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
| |
| Error: 20.338 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/leantone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/leantone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:56:&lt;h1&gt; --><h1 id="toc28"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:56 -->Score</h1>
| |
| Subgroup: 2.7.11.13<br />
| |
| Commas: 343/338, 847/832<br />
| |
| <br />
| |
| POTE generator: ~11/8 = 540.099<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
| |
| EDOs: 5, 7, 9, 11, 20<br />
| |
| Error: 8.052 cents<br />
| |
| <br />
| |
| <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:58:&lt;h1&gt; --><h1 id="toc29"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:58 -->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:60:&lt;h2&gt; --><h2 id="toc30"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:60 -->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:62:&lt;h2&gt; --><h2 id="toc31"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:62 -->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:64:&lt;h1&gt; --><h1 id="toc32"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:64 -->Deutone</h1>
| |
| Subgroup: 2.9.5.7.13<br />
| |
| Commas: 65/64, 81/80, 91/90<br />
| |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">meanpop</a><br />
| |
| <br />
| |
| POTE generator: ~9/8 = 191.059<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br />
| |
| EDOs: 6, 7, 13, 19, 25, 44, 69<br />
| |
| Error: 12.145 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="/deutone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="/deutone7">seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="/deutone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:66:&lt;h1&gt; --><h1 id="toc33"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:66 -->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 = 228.275<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 />
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| <a class="wiki_link" href="/augment9">Nine note albitonic scale</a><br />
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| <a class="wiki_link" href="/augment12">Twelve note chromatic scale</a></body></html></pre></div>
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