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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>2011-04-08 10:43:21 UTC</tt>.<br>
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| : The original revision id was <tt>218475982</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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| 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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|
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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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|
| 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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| 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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| =Magic= | | == Photia == |
| Group: 2.3.5.7.11
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
| Commas: 100/99, 225/224, 245/243
| |
|
| |
|
| POTE generator: ~5/4 = 380.696
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
|
| |
|
| Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
| | Scales: |
| EDOs: 19, 22, 41, 104, 145
| | * [[Photia7]] – 7-tone albitonic scale |
| Error: 4.489
| | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| [[magic7|Seven note haplotonic scale]]
| | == Shoe a.k.a. llywelyn == |
| [[magic10|Ten note albitonic scale]]
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| [[magic13|Thirteen note chromatic scale]]
| |
| [[magic16|Sixteen note mega chromatic scale]]
| |
|
| |
|
| =Hemif=
| | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
| Subgroup: 2.3.7.11.13
| |
| Commas: 144/143, 243/242, 364/363
| |
| Related temperament: [[Breedsmic temperaments|Hemififths]]
| |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | Scales: |
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| | * [[Shoe6]] – 6-tone haplotonic scale |
| | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | == Roulette == |
| EDOs: 7, 10, 17, 24, 41, 58
| | {{See also | Hemimean clan #Roulette }} |
| Error: 4.867 cents
| |
|
| |
|
| [[hemif7|Seven note haplotonic scale]] | | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| [[hemif10|Ten note albitonic scale]]
| |
| [[hemif17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Skwares=
| | Scales: |
| Subgroup: 2.3.7.11
| | * [[Roulette6]] – 6-tone haplotonic scale |
| Commas: 99/98, 243/242
| | * [[Roulette7]] – 7-tone albitonic scale |
| Related temperament: [[Meantone family|squares]]
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | == Silver == |
| | {{See also | No-threes subgroup temperaments #Silver }} |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| |
| Error: 4.942 cents
| |
|
| |
|
| [[skwares8|Eight note albitonic scale]] | | Scales: |
| [[skwares11|Eleven note mega albitonic scale]] | | * [[Silver7]] – 7-tone haplotonic scale |
| [[skwares14|Fourteen note chromatic scale]] | | * [[Silver10]] – 10-tone albitonic scale |
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| =Greeley= | | == Baldy == |
| Subgroup: 2.5/3.7/3.11/3 | | {{See also| Subgroup temperaments #Baldy }} |
| Commas: 121/120, 126/125
| |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | Scales |
| EDOs: 8, 15, 23, 77, 100
| | * [[Baldy6]] – 6-tone haplotonic scale |
| Error: 5.404 cents
| | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| [[greeley8|Eight note albitonic scale]]
| |
| [[greeley15|Fifteen note chromatic scale]]
| |
|
| |
|
| =Semidim= | | == Guanyintet == |
| Subgroup: 2.5/3.7/3.11/3.13/3 | | {{See also | Subgroup temperaments #Guanyintet }} |
| Commas: 121/120, 169/168, 275/273
| |
| Sval name: 8&29
| |
|
| |
|
| POTE generator: ~13/10 = 453.190
| | Scales: |
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | == Radon == |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| | {{See also| Gamelismic clan #Radon }} |
| Error: 5.433 cents
| |
|
| |
|
| [[semidim8|Eight note albitonic scale]] | | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| [[semidim13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Orwell=
| | * [[Radon5]] – 5-tone haplotonic scale |
| Group: 2.3.5.7.11
| | * [[Radon11]] – 11-tone albitonic scale |
| Commas: 99/98, 121/120, 176/175
| | * [[Radon16]] – 16-tone chromatic scale |
| Val name: 9&22
| |
|
| |
|
| POTE generator: ~7/6 = 271.426
| | == Gariberttet == |
| | {{See also | Subgroup temperaments #Gariberttet }} |
|
| |
|
| Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
| | Scales: |
| EDOs: 9, 22, 31, 53, 84
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Error: 5.584
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| [[orwell9|nine note albitonic scale]]
| | == Namo == |
| [[orwell13|Thirteen note chromatic scale]]
| | {{See also| Rastmic clan #Namo }} |
|
| |
|
| =Mohaha=
| | Scales: |
| Subgroup: 2.3.5.11
| | * [[Namo7]] – 7-tone haplotonic scale |
| Commas: 81/80, 121/120
| | * [[Namo10]] – 10-tone albitonic scale |
| Related temperament: [[Meantone family|mohajira]]
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | == Sentry == |
| | {{See also | Subgroup temperaments #Sentry }} |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 31, 131
| | * [[Sentry5]] – 5-tone haplotonic scale |
| Error: 6.733 cents
| | * [[Sentry8]] – 8-tone albitonic scale |
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| [[mohaha7|Seven note albitonic scale]]
| | == Hemif == |
| [[mohaha10|Ten note chromatic scale]]
| | {{See also| No-fives subgroup temperaments #Hemif }} |
|
| |
|
| ==Mohoho==
| | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
| Subgroup: 2.3.5.11.13
| |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | Scales: |
| | * [[Hemif7]] – 7-tone haplotonic scale |
| | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | == Garibaldi == |
| EDOs: 7, 10, 17, 24, 31, 55
| | {{Main| Garibaldi temperament }} |
| Error: 9.556 cents
| | {{See also| Schismatic family #Garibaldi }} |
|
| |
|
| =Tutone=
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
| Subgroup: 2.9.5.7.11
| |
| Commas: 81/80, 99/98, 126/125
| |
| Related temperament: [[Meantone family|meantone]]
| |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | Scales: |
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | == Mabilic == |
| EDOs: 6, 7, 13, 19, 25, 31, 99
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
| Error: 7.047 cents
| |
|
| |
|
| [[tutone6|Six note haplotonic scale]] | | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| [[tutone7|Seven note albitonic scale]]
| |
| [[tutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| ==Leantone==
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| Commas: 45/44, 56/55, 81/80
| | * [[Mabilic9]] – 9-tone albitonic scale |
| Related temperament: [[Meantone family|flattone]]
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | == Indium == |
| | {{See also | Subgroup temperaments #Indium }} |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| |
| Error: 20.338 cents
| |
|
| |
|
| [[leantone6|Six note haplotonic scale]] | | Scales: |
| [[leantone7|Seven note albitonic scale]] | | * [[Indium8]] – 8-tone albitonic scale |
| [[leantone13|Thirteen note chromatic scale]]
| | * [[Indium17]] – 17-tone chromatic scale |
|
| |
|
| =Score=
| | ; Music |
| Subgroup: 2.7.11.13
| | * ''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: 343/338, 847/832
| |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | == Starlingtet == |
| | {{See also | Subgroup temperaments #Starlingtet }} |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | Scales: |
| EDOs: 5, 7, 9, 11, 20
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| Error: 8.052 cents
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| [[score5|Five note haplotonic scale]]
| | == Lovecraft == |
| [[score7|Seven note albitonic scale]]
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
| [[score9|Nine note mega albitonic scale]]
| |
| [[score11|Eleven note chromatic scale]]
| |
|
| |
|
| =Supra=
| | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| Subgroup: 2.3.7.11
| |
| Commas: 64/63, 99/98
| |
| Related temperament: [[Archytas clan|superpyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | Scales: |
| | * [[Lovecraft5]] – 5-tone haplotonic scale |
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | == Blackbirds == |
| EDOs: 5, 7, 12, 17, 22, 39, 56
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| Error: 9.795 cents
| |
|
| |
|
| [[supra7|Seven note albitonic scale]] | | Scales: |
| [[supra12|Twelve note chromatic scale]] | | * [[Blackbirds8]] – 8-tone albitonic scale |
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| ==Supraphon== | | == Laz == |
| Subgroup: 2.3.7.11.13 | | {{See also | Subgroup temperaments #Laz }} |
| Commas: 64/63, 78/77, 99/98
| |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | Scales: |
| | * [[Laz5]] – 5-tone haplotonic scale |
| | * [[Laz9]] – 9-tone albitonic scale |
| | * [[Laz13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | == Myna == |
| EDOs: 5, 7, 12, 17
| | {{Main| Myna }} |
| Error: 10.534 cents
| | {{See also| Starling temperaments #Myna }} |
|
| |
|
| ==Machine==
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| Subgroup: 2.9.7.11
| |
| Commas: 64/63, 99/98
| |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | Scales: |
| | * [[Myna7]] – 7-tone haplotonic scale |
| | * [[Myna11]] – 11-tone albitonic scale |
| | * [[Myna15]] – 15-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | == Greeley == |
| EDOs: 5, 6, 11, 17, 28
| | {{See also| Subgroup temperaments #Greeley }} |
| Error: 10.100 cents
| |
|
| |
|
| [[machine5|Five note haplotonic scale]] | | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| [[machine6|Six note albitonic scale]]
| |
| [[machine11|Eleven note chromatic scale]]
| |
|
| |
|
| =Augment=
| | Scales: |
| Subgroup: 2.5.7.11
| | * [[Greeley8]] – 8-tone albitonic scale |
| Commas: 56/55, 128/125
| | * [[Greeley15]] – 15-tone chromatic scale |
| Related temperament: [[Augmented family|augmented]]
| |
|
| |
|
| POTE generator: ~8/7
| | ; 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: [<3 7 0 2|, <0 0 1 1|]
| | == Ammon == |
| EDOs: 3, 6, 9, 15, 21
| | {{See also| Subgroup temperaments #Ammon }} |
| Error: 12.830 cents
| |
|
| |
|
| [[augment6|Six note haplotonic scale]] | | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| [[augment9|Nine note albitonic scale]] | | |
| [[augment12|Twelve note chromatic scale]] | | Scales: |
| </pre></div>
| | * [[Ammon8]] – 8-tone albitonic scale |
| <h4>Original HTML content:</h4>
| | * [[Ammon13]] – 13-tone chromatic scale |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:58:&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:58 --><!-- ws:start:WikiTextTocRule:59: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: -->
| | |
| <!-- ws:end:WikiTextTocRule:88 --><br />
| | == Mothwelltri == |
| <br />
| | {{See also| Subgroup temperaments #Mothwelltri }} |
| 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 />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1>
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| Subgroup: 2.9/5.9/7<br />
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| Commas: 250047/250000<br />
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
| Sval name: 6&amp;21<br />
| | |
| Related temperament: <a class="wiki_link" href="/Minortonic%20family#Domain">domain</a><br />
| | == Sulis == |
| <br />
| | {{See also| Subgroup temperaments #Sulis }} |
| POTE generator: ~10/9 = 182.462<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| | * [[Sulis7]] – 7-tone haplotonic scale |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| | * [[Sulis10]] – 10-tone albitonic scale |
| Error: 0.0443 cents<br />
| | * [[Sulis13]] – 13-tone chromatic scale |
| <br />
| | |
| Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br />
| | == Skwares == |
| <br />
| | {{Main| Squares }} |
| <a class="wiki_link" href="/terrain9">Nine note albitonic scale</a><br />
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br />
| | |
| <br />
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| <!-- 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 />
| | * [[Skwares8]] – 8-tone albitonic scale |
| Sval name: 5&amp;24<br />
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabdos</a><br />
| | * [[Skwares14]] – 14-tone chromatic scale |
| <br />
| | |
| POTE generator: ~15/13 = 248.285<br />
| | == Orwell == |
| <br />
| | {{Main| Orwell }} |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| | {{See also| Semicomma family #Orwell }} |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| | |
| Error: 0.8996 cents<br />
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| <br />
| | |
| <a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
| | * [[Orwell5]] – 5-tone haplotonic scale |
| <br />
| | * [[Orwell9]] – 9-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:4 -->Cata</h1>
| | * [[Orwell13]] – 13-tone chromatic scale |
| Subgroup: 2.3.5.13<br />
| | |
| Commas: 325/324, 625/624<br />
| | == Magicaltet == |
| Sval name: 15&amp;19<br />
| | {{See also| Subgroup temperaments #Magicaltet }} |
| Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br />
| | |
| <br />
| | Scales: |
| POTE generator: ~6/5 = 317.076<br />
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| <br />
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br />
| | |
| Error: 0.9355 cents<br />
| | == Magic == |
| <br />
| | {{Main| Magic }} |
| <a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br />
| | {{See also| Magic family #Magic }} |
| <a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/cata15">Fifteen note chromatic scale</a><br />
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| <a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:6 -->Tridec</h1>
| | * [[Magic7]] – 7-tone haplotonic scale |
| Subgroups: 2.7/5.11/5.13/5<br />
| | * [[Magic10]] – 10-tone albitonic scale |
| Commas: 847/845, 1001/1000<br />
| | * [[Magic13]] – 13-tone chromatic scale |
| Sval name: 5&amp;8<br />
| | * [[Magic16]] – 16-tone mega-chromatic scale |
| <br />
| | |
| POTE generator: ~13/10 = 454.461<br />
| | == Kiribati == |
| <br />
| | {{See also| Subgroup temperaments #Kiribati }} |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
| | |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235<br />
| | Scales: |
| Error: 1.057<br />
| | * [[Kiribati13]] – 13-tone chromatic scale |
| <br />
| | * [[Kiribati14]] – 14-tone chromatic scale |
| <a class="wiki_link" href="/Tridec8">Eight note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/Tridec13">Thirteen note chromatic scale</a><br />
| | == Score == |
| <br />
| | {{See also|No-threes subgroup temperaments #Score }} |
| <!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:8 -->Pepperoni</h1>
| | |
| Subgroup: 2.3.11/7.13/7<br />
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| Commas: 352/351, 364/363<br />
| | |
| Sval name: 5&amp;12<br />
| | Scales: |
| Related temperament: The <a class="wiki_link" href="/Peppermint-24">Pepper fifth</a>, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.<br />
| | * [[Score5]] – 5-tone haplotonic scale |
| <br />
| | * [[Score7]] – 7-tone albitonic scale |
| POTE generator: ~3/2 = 704.052<br />
| | * [[Score9]] – 9-tone mega-albitonic scale |
| <br />
| | * [[Score11]] – 11-tone chromatic scale |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| | |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| | == Sensi == |
| Error: 1.298 cents<br />
| | {{Main| Sensi }} |
| <br />
| | {{See also| Sensipent family #Sensi }} |
| <a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:10 -->Nestoria</h1>
| | Scales: |
| Subgroup: 2.3.5.19<br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Commas: 361/360, 513/512<br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| Sval name: 12&amp;29<br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| <br />
| | |
| POTE generator: ~3/2 = 701.746<br />
| | === Sensation === |
| <br />
| | {{Main| Sensi }} |
| Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]<br />
| | {{See also| Sensipent family #Sensi }} |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| | |
| Error: 1.819 cents<br />
| | Scales: |
| <br />
| | * [[Sensi5]] – 5-tone haplotonic scale |
| <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br />
| | * [[Sensi8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br />
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| <br />
| | * [[Sensi19]] – 19-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Nestoria-Photia"></a><!-- ws:end:WikiTextHeadingRule:12 -->Photia</h2>
| | |
| Subgroup 2.3.5.17.19<br />
| | == Meantone == |
| Commas: 171/170, 256/255, 324/323<br />
| | {{Main| Meantone }} |
| Sval name: 12&amp;41<br />
| | {{See also| Meantone family #Meantone }} |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
| | |
| <br />
| | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| POTE generator: ~3/2 = 701.470<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| | * [[Meantone5]] – 5-tone haplotonic scale |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| | * [[Meantone7]] – 7-tone albitonic scale |
| Error: 3.457 cents<br />
| | * [[Meantone12]] – 12-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br />
| | == Mohaha == |
| <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br />
| | {{See also| Rastmic clan #Mohaha }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:14 -->Huntington</h1>
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| Subgroup: 2.5.7.13<br />
| | |
| Commas: 640/637, 10985/10976<br />
| | Scales: |
| Sval name: 10&amp;27<br />
| | * [[Mohaha7]] – 7-tone albitonic scale |
| <br />
| | * [[Mohaha10]] – 10-tone chromatic scale |
| POTE generator: ~16/13 = 357.002<br />
| | |
| <br />
| | Music: |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| | ; [[Billy Stiltner]] |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| Error: 2.1001 cents<br />
| | |
| <br />
| | === Mohoho === |
| <a class="wiki_link" href="/huntington7">Seven note haplotonic scale</a><br />
| | {{See also| Rastmic clan #Mohoho }} |
| <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br />
| | == Joan == |
| <br />
| | {{See also| Subgroup temperaments #Joan }} |
| <!-- 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 />
| | Scales: |
| Commas: 176/175, 1375/1372, 640/637<br />
| | * [[Joan5]] – 5-tone haplotonic scale |
| Sval name: 6&amp;25<br />
| | * [[Joan7]] – 7-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| <br />
| | * [[Joan11]] – 11-tone chromatic scale |
| POTE generator: ~28/25 = 194.594<br />
| | |
| <br />
| | == Tutone == |
| Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br />
| | {{See also| Hemimean clan #Tutone }} |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| | |
| Error: 2.555 cents<br />
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| <br />
| | |
| <a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/roulette7">Seven note albitonic scale</a><br />
| | * [[Tutone6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/roulette13">Thirteen note chromatic scale</a><br />
| | * [[Tutone7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="/roulette19">Nineteen note mega chromatic scale</a><br />
| | * [[Tutone13]] – 13-tone chromatic scale |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:18 -->Baldy</h1>
| | == Stacks == |
| Subgroup: 2.9.5.7.13<br />
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| Commas: 225/224, 325/324, 640/637<br />
| | |
| Sval name: 6&amp;35<br />
| | Scales: |
| Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
| | * [[Stacks5]] – 5-tone haplotonic scale |
| <br />
| | * [[Stacks8]] – 8-tone albitonic scale |
| POTE generator: ~9/8 = 204.090<br />
| | * [[Stacks11]] – 11-tone chromatic scale |
| <br />
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
| Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]<br />
| | |
| EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br />
| | == Bleu == |
| Error: 2.617 cents<br />
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| <br />
| | |
| <a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br />
| | Scales: |
| <a class="wiki_link" href="/baldy11">Eleven note albitonic scale</a><br />
| | * [[Bleu8]] – 8-tone haplotonic scale |
| <a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br />
| | * [[Bleu9]] – 9-tone albitonic scale |
| <br />
| | * [[Bleu17]] – 17-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:20 -->Bossier</h1>
| | |
| Subgroup: 2.7.11.13<br />
| | == Sephiroth == |
| Commas: 1573/1569, 15488/15379<br />
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| Sval name: 3&amp;17<br />
| | |
| <br />
| | Scales: |
| POTE generator: ~14/11 = 421.309<br />
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| <br />
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| EDOs: 17, 20, 37, 57, 94, 225<br />
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
| Error: 2.665 cents<br />
| | |
| <br />
| | == Archy == |
| <a class="wiki_link" href="/bossier8">Eight note albitonic scale</a><br />
| | {{Main| Superpyth }} |
| <a class="wiki_link" href="/bossier11">Eleven note chromatic scale</a><br />
| | {{See also| Archytas clan #Archy }} |
| <a class="wiki_link" href="/bossier14">Fourteen note mega chromatic scale</a><br />
| | |
| <br />
| | Scales: |
| <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:22 -->Radon</h1>
| | * [[Archy5]] – 5-tone haplotonic scale |
| Subgroup: 2.3.7.11<br />
| | * [[Archy7]] – 7-tone albitonic scale |
| Commas: 896/891, 1029/1024<br />
| | * [[Archy12]] – 12-tone chromatic scale |
| Sval name: 5&amp;36<br />
| | |
| Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><br />
| | === Supra === |
| <br />
| | {{Main| Superpyth }} |
| POTE generator: ~8/7 = 234.381<br />
| | {{See also| Archytas clan #Supra }} |
| <br />
| | |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| EDOs: 5, 36, 41, 87, 128<br />
| | |
| Error: 2.925 cents<br />
| | Scales: |
| <br />
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| <a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
| <a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
| | === Supraphon === |
| <br />
| | {{Main| Superpyth }} |
| <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:24 -->Silver</h1>
| | {{See also| Archytas clan #Supraphon }} |
| Subgroup: 2.5.7.13.17<br />
| | |
| Commas: 170/169, 640/637, 5525/5488<br />
| | == Suhajira == |
| Sval name: 10&amp;27<br />
| | {{See also| Archytas clan #Suhajira }} |
| <br />
| | |
| POTE generator: ~13/8 = 842.711<br />
| | Scales: |
| <br />
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br />
| | * [[Suhajira10]] – 10-tone albitonic scale |
| EDOs: 7, 10, 17, 27, 37, 47, 84, 131<br />
| | * [[Suhajira17]] – 17-tone chromatic scale |
| Error: 3.437<br />
| | |
| <br />
| | == Machine == |
| <a class="wiki_link" href="/silver7">Seven note haplotonic scale</a><br />
| | {{See also| Subgroup temperaments #Machine}} |
| <a class="wiki_link" href="/silver10">Ten note albitonic scale</a><br />
| | |
| <a class="wiki_link" href="/silver17">Seventeen note chromatic scale</a><br />
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:26 -->Indium</h1>
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3<br />
| | * [[Machine5]] – 5-tone haplotonic scale |
| Commas: 3025/3024, 3125/3087<br />
| | * [[Machine6]] – 6-tone albitonic scale |
| Sval name: 8&amp;33<br />
| | * [[Machine11]] – 11-tone chromatic scale |
| <br />
| | |
| POTE generator: ~12/11 = 147.159<br />
| | == Deutone == |
| <br />
| | {{See also| Hemimean clan #Deutone }} |
| Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br />
| | |
| EDOs: 33, 41, 49, 57, 106, 204, 253<br />
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| Error: 3.968 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/indium8">Eight note albitonic scale</a><br />
| | * [[Deutone6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/indium17">Seventeen note chromatic scale</a><br />
| | * [[Deutone7]] – 7-tone albitonic scale |
| <br />
| | * [[Deutone13]] – 13-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:28 -->Magic</h1>
| | |
| Group: 2.3.5.7.11<br />
| | == Negra == |
| Commas: 100/99, 225/224, 245/243<br />
| | {{Main| Negri }} |
| <br />
| | {{See also| Marvel temperaments #Negri }} |
| POTE generator: ~5/4 = 380.696<br />
| | |
| <br />
| | == Porkypine == |
| Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br />
| | {{Main| Porcupine }} |
| EDOs: 19, 22, 41, 104, 145<br />
| | {{See also| Porcupine family #Porcupine }} |
| Error: 4.489<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/magic7">Seven note haplotonic scale</a><br />
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="/magic10">Ten note albitonic scale</a><br />
| | * [[Porkypine8]] – 8-tone albitonic scale |
| <a class="wiki_link" href="/magic13">Thirteen note chromatic scale</a><br />
| | * [[Porkypine15]] – 15-tone chromatic scale |
| <a class="wiki_link" href="/magic16">Sixteen note mega chromatic scale</a><br />
| | |
| <br />
| | == Skateboard == |
| <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:30 -->Hemif</h1>
| | {{See also| Subgroup temperaments #Skateboard }} |
| 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 />
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| <br />
| | * [[Skateboard11]] – 11-tone albitonic scale |
| POTE generator: ~11/9 = 351.691<br />
| | * [[Skateboard15]] – 15-tone chromatic scale |
| <br />
| | |
| Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
| | == Augment == |
| EDOs: 7, 10, 17, 24, 41, 58<br />
| | {{See also| No-threes subgroup temperaments #Augment }} |
| Error: 4.867 cents<br />
| | |
| <br />
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| <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 />
| | * [[Augment6]] – 6-tone haplotonic scale |
| <br />
| | * [[Augment9]] – 9-tone albitonic scale |
| <!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:32 -->Skwares</h1>
| | * [[Augment12]] – 12-tone chromatic scale |
| Subgroup: 2.3.7.11<br />
| | |
| Commas: 99/98, 243/242<br />
| | == Semaphore == |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">squares</a><br />
| | {{Main| Semaphore and godzilla }} |
| <br />
| | {{See also| Semaphoresmic clan #Semaphore }} |
| POTE generator: ~9/7 = 425.244<br />
| | |
| <br />
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
| | |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
| | Scales: |
| Error: 4.942 cents<br />
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| <br />
| | * [[Semaphore9]] – 9-tone albitonic scale |
| <a class="wiki_link" href="/skwares8">Eight note albitonic scale</a><br />
| | * [[Semaphore14]] – 14-tone chromatic scale |
| <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 />
| | == Kryptonite == |
| <br />
| | {{See also| Subgroup temperaments #Kryptonite }} |
| <!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:34 -->Greeley</h1>
| | |
| Subgroup: 2.5/3.7/3.11/3<br />
| | Scales: |
| Commas: 121/120, 126/125<br />
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| <br />
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| POTE generator: ~11/10 = 156.055<br />
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
| <br />
| | |
| Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
| | == Oregon == |
| EDOs: 8, 15, 23, 77, 100<br />
| | {{See also| Orgonia #Oregon }} |
| Error: 5.404 cents<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br />
| | * [[Oregon7]] – 7-tone haplotonic scale |
| <a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br />
| | * [[Oregon11]] – 11-tone albitonic scale |
| <br />
| | * [[Oregon15]] – 15-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:36 -->Semidim</h1>
| | |
| Subgroup: 2.5/3.7/3.11/3.13/3<br />
| | == Antikythera == |
| Commas: 121/120, 169/168, 275/273<br />
| | {{See also| Jubilismic clan #Antikythera }} |
| Sval name: 8&amp;29<br />
| | |
| <br />
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| POTE generator: ~13/10 = 453.190<br />
| | |
| <br />
| | Scales: |
| Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br />
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| EDOs: 5, 8, 13, 21, 29, 37, 45<br />
| | * [[Antikythera10]] – 10-tone albitonic scale |
| Error: 5.433 cents<br />
| | * [[Antikythera16]] – 16-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="/semidim8">Eight note albitonic scale</a><br />
| | == Glacial == |
| <a class="wiki_link" href="/semidim13">Thirteen note chromatic scale</a><br />
| | {{See also| Subgroup temperaments #Glacial }} |
| <br />
| | |
| <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:38 -->Orwell</h1>
| | Scales: |
| Group: 2.3.5.7.11<br />
| | * [[Glacial6]] – 6-tone haplotonic scale |
| Commas: 99/98, 121/120, 176/175<br />
| | * [[Glacial7]] – 7-tone albitonic scale |
| Val name: 9&amp;22<br />
| | * [[Glacial13]] – 13-tone chromatic scale |
| <br />
| | |
| POTE generator: ~7/6 = 271.426<br />
| | == Leantone == |
| <br />
| | {{See also| Hemimean clan #Leantone }} |
| Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br />
| | |
| EDOs: 9, 22, 31, 53, 84<br />
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| Error: 5.584<br />
| | |
| <br />
| | Scales: |
| <a class="wiki_link" href="/orwell9">nine note albitonic scale</a><br />
| | * [[Leantone6]] – 6-tone haplotonic scale |
| <a class="wiki_link" href="/orwell13">Thirteen note chromatic scale</a><br />
| | * [[Leantone7]] – 7-tone albitonic scale |
| <br />
| | * [[Leantone13]] – 13-tone chromatic scale |
| <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:40 -->Mohaha</h1>
| | |
| Subgroup: 2.3.5.11<br />
| | == Notes == |
| Commas: 81/80, 121/120<br />
| | |
| Related temperament: <a class="wiki_link" href="/Meantone%20family">mohajira</a><br />
| | [[Category:Lists of scales]] |
| <br />
| | [[Category:Tempered scales| ]] |
| POTE generator: ~11/9 = 348.094<br />
| | [[Category:Listen]] |
| <br />
| | [[Category:Rank 2]] |
| Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br />
| | |
| EDOs: 7, 10, 17, 24, 31, 131<br />
| | {{todo|cleanup}} |
| 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:42:&lt;h2&gt; --><h2 id="toc21"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:42 -->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:44:&lt;h1&gt; --><h1 id="toc22"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:44 -->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:46:&lt;h2&gt; --><h2 id="toc23"><a name="Tutone-Leantone"></a><!-- ws:end:WikiTextHeadingRule:46 -->Leantone</h2>
| |
| 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:48:&lt;h1&gt; --><h1 id="toc24"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:48 -->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:50:&lt;h1&gt; --><h1 id="toc25"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:50 -->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:52:&lt;h2&gt; --><h2 id="toc26"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:52 -->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:54:&lt;h2&gt; --><h2 id="toc27"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:54 -->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:56:&lt;h1&gt; --><h1 id="toc28"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:56 -->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>
| |