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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>2011-12-07 14:23:50 UTC</tt>.<br>
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| : The original revision id was <tt>283387226</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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| [[media type="custom" key="11052942"]] | |
| ----
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| =Definitions=
| | 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. |
| By a //chromatic pair// is meant a pair of [[xenharmonic/MOSScales|MOS]] in some rank two temperament (which may often be a [[xenharmonic/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 [[xenharmonic/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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| =Terrain= | | == Terrain == |
| Subgroup: 2.9/5.9/7 | | {{See also| Subgroup temperaments #Terrain }} |
| Commas: 250047/250000
| |
| Sval name: 6&21
| |
| Related temperament: [[xenharmonic/Minortonic family#Domain|domain]]
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| [[xenharmonic/POTE generator|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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| [[xenharmonic/terrain9|Nine note albitonic scale]]
| | == Petrtri == |
| [[xenharmonic/terrain15|Fifteen note chromatic scale]]
| | {{See also| Subgroup temperaments #Petrtri }} |
|
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|
| =Orgone=
| | [[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]] |
| Subgroup: 2.7.11
| |
| Commas: 65536/65219
| |
| Svals: 4&7
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|
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|
| POTE generator: ~77/64 = 323.372
| | Scales: |
| | * [[Petrtri5]] – 5-tone haplotonic scale |
| | * [[Petrtri8]] – 8-tone albitonic scale |
| | * [[Petrtri13]] – 13-tone chromatic scale |
|
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|
| Map: [<1 2 4|, <0 3, -2|]
| | == Barton == |
| EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308
| | {{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}} |
| Error: 0.7313
| | {{See also| The Jacobins #Barton }} |
|
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|
| [[image:orgone_308edo.jpg]] | | Scales: |
| | * [[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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| [[xenharmonic/orgone7|Seven note albitonic scale]]
| | == Tridec == |
| [[xenharmonic/orgone11|Eleven note chromatic scale]]
| | {{See also| Subgroup temperaments #Tridec }} |
| [[xenharmonic/orgone15|Fifteen note mega chromatic scale]]
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|
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|
| =Bridgetown=
| | [[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]] |
| Subgroup: 2.3.11/5.13/5
| |
| Commas: 352/351, 676/675
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| Sval name: 5&24
| |
| Related temperament: [[xenharmonic/The Archipelago|barabados]]
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| POTE generator: ~15/13 = 248.285
| | Scales: |
| | * [[Tridec8]] – 8-tone albitonic scale |
| | * [[Tridec13]] – 13-tone chromatic scale |
|
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|
| Map: [<1 0 -6 -1|, <0 2 9 3|]
| | == Nestoria == |
| EDOs: 5, 9, 14, 19, 24, 29
| | {{See also| Schismatic family #Nestoria (2.3.5.19)}} |
| Error: 0.8996 cents
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| [[xenharmonic/bridgetown9|Nine note albitonic scale]] | | [[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]] |
| [[xenharmonic/bridgetown14|Fourteen note chromatic scale]]
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| ==Music==
| | Scales: |
| [[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]] by [[xenharmonic/Igliashon Jones|Igliashon Jones]] | | * [[Nestoria7]] – 7-tone albitonic scale |
| [[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]] by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | | * [[Nestoria12]] – 12-tone chromatic scale |
| | * [[Nestoria17]] – 17-tone mega chromatic scale |
|
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| =Cata= | | == Orgone == |
| Subgroup: 2.3.5.13
| | {{Main| Orgone }} |
| Commas: 325/324, 625/624
| | {{See also| Orgonia #Orgone }} |
| Sval name: 15&19
| |
| Related temperament: [[xenharmonic/Kleismic family|catakleismic]]
| |
|
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|
| POTE generator: ~6/5 = 317.076
| | [[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]] |
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|
| Map: [<1 0 1 0|, <0 6 5 14|]
| | Scales: |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
| | * [[Orgone7]] – 7-tone albitonic scale |
| Error: 0.9355 cents
| | * [[Orgone11]] – 11-tone chromatic scale |
| | * [[Orgone15]] – 15-tone mega-chromatic scale |
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| [[image:xenharmonic/cata_246edo2.jpg]]
| | == Marveltwintri == |
| [[xenharmonic/cata7|Seven note albitonic scale]]
| | {{See also| Subgroup temperaments #Marveltwintri }} |
| [[xenharmonic/cata11|Eleven note mega albitonic scale]]
| |
| [[xenharmonic/cata15|Fifteen note chromatic scale]]
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| [[xenharmonic/cata19|Nineteen note mega chromatic scale]]
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| =Neutraltri=
| | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
| Subgroup: 2.3.11
| |
| Commas: 243/242
| |
| Svalname: 7&17
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|
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|
| POTE generator: ~11/9 = 350.525
| | Scales: |
| | * [[Marveltwintri7]] – 7-tone albitonic scale |
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
|
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|
| Map: [<1 1 2|, <0 2 5|]
| | == Cata == |
| EDOs: 7, 17, 24, 65, 89, 202, 291, 380
| | {{Main| Kleismic }} |
| Error: 1.007
| | {{See also| Kleismic family #Cata }} |
|
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|
| [[xenharmonic/neutraltri7|Seven note albitonic scale]] | | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
| [[xenharmonic/neutraltri10|Ten note chromatic scale]]
| |
| [[xenharmonic/neutraltri17|Seventeen note mega chromatic scale]]
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|
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|
| =Tridec=
| | Scales: |
| Subgroup: 2.7/5.11/5.13/5
| | * [[Cata7]] – 7-tone albitonic scale |
| Commas: 847/845, 1001/1000
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| Sval name: 5&8
| | * [[Cata15]] – 15-tone chromatic scale |
| | * [[Cata19]] – 19-tone mega-chromatic scale |
|
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|
| POTE generator: ~13/10 = 454.461
| | == Bridgetown == |
| | {{See also| Subgroup temperaments #Bridgetown }} |
|
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|
| Map: [<1 2 0 1|, <0 -4 3 1|]
| | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c
| |
| Error: 1.057
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|
| [[xenharmonic/Tridec8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/Tridec13|Thirteen note chromatic scale]] | | * [[Bridgetown9]] – 9-tone albitonic scale |
| | * [[Bridgetown14]] – 14-tone chromatic scale |
|
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|
| =Pepperoni=
| | ; Music |
| Subgroup: 2.3.11/7.13/7
| | * [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]] |
| Commas: 352/351, 364/363
| | * ''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 |
| Sval name: 5&12
| |
| Related temperament: The [[xenharmonic/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
| | == Haumea == |
| | {{See also| Subgroup temperaments #Haumea }} |
|
| |
|
| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | Scales: |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| | * [[Haumea5]] – 5-tone haplotonic scale |
| Error: 1.298 cents
| | * [[Haumea9]] – 9-tone albitonic scale |
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
|
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|
| [[xenharmonic/pepperoni7|Seven note albitonic scale]]
| | == Neutral == |
| [[xenharmonic/pepperoni12|Twelve note chromatic scale]]
| | {{See also| Rastmic clan #Neutral }} |
|
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|
| =Slendric=
| | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| Subgroup: 2.3.7
| |
| Comma: 1029/1024
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| Sval name: 5&21
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|
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|
| POTE generator: ~8/7 = 233.688
| | Scales: |
| | * [[Neutral7]] – 7-tone albitonic scale |
| | * [[Neutral10]] – 10-tone chromatic scale |
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
|
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|
| Map: [<1 1 3|, <0 3 -1|]
| | ; Music |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
| | * [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 |
| Error: 1.109 cents
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| [[image:xenharmonic/slendric_190edo.jpg]] | | == Slendric == |
| | {{Main| Slendric }} |
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
|
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|
| [[xenharmonic/slendric5|Five note haplotonic scale]] | | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| [[xenharmonic/slendric6|Six note haplotonic scale]]
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| [[xenharmonic/slendric11|Eleven note albitonic scale]]
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| [[xenharmonic/slendric16|Sixteen note chromatic scale]]
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| ==Music==
| | Scales: |
| [[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]] | | * [[Slendric5]] – 5-tone haplotonic scale |
| [[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]] | | * [[Slendric6]] – 6-tone haplotonic scale |
| by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
| | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
|
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| =Nestoria= | | == Huntington == |
| Subgroup: 2.3.5.19
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| Commas: 361/360, 513/512
| |
| Sval name: 12&29
| |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
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|
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| POTE generator: ~3/2 = 701.746
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
|
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|
| Map: [<1 0 15 9|, <0 1 -8 -3|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| | * [[Huntington7]] – 7-tone haplotonic scale |
| Error: 1.819 cents
| | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
|
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| [[xenharmonic/nestoria7|Seven note albitonic scale]]
| | == Tobago == |
| [[xenharmonic/nestoria12|Twelve note chromatic scale]]
| | {{See also| Subgroup temperaments #Tobago }} |
|
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|
| =Marveltri=
| | Scales: |
| Subgroup: 2.5.9/7
| | * [[Tobago6]] – 6-tone haplotonic scale |
| Comma: 225/224
| | * [[Tobago10]] – 10-tone albitonic scale |
| Sval name: 3&13
| | * [[Tobago14]] – 14-tone chromatic scale |
| Related temperaments: marvel, 22&47, magic
| | * [[Tobago24]] – 24-tone quatertone scale |
|
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|
| POTE generator: ~5/4 = 382.618
| | == Pepperoni == |
| | {{See also| Parapyth }} |
| | {{See also| Subgroup temperaments #Pepperoni }} |
|
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|
| Map: [<1 0 5|, <0 1 -2|]
| | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| EDOs: 12, 13, 16, 19, 22, 47, 69
| |
| Error: 2.043 cents
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|
| [[xenharmonic/marveltri7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/marveltri10|Ten note chromatic scale]] | | * [[Pepperoni7]] – 7-tone albitonic scale |
| [[xenharmonic/marveltri13|Thirteen note mega chromatic scale]]
| | * [[Pepperoni12]] – 12-tone chromatic scale |
|
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| =Photia= | | == Wizz == |
| Subgroup: 2.3.5.17.19
| | {{See also| No-threes subgroup temperaments #Wizz }} |
| Commas: 171/170, 256/255, 324/323
| |
| Sval name: 12&41
| |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
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|
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|
| POTE generator: ~3/2 = 701.470
| | Scales: |
| | * [[Wizz6]] – 6-tone haplotonic scale |
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
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|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | == Bossier == |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| | {{See also| No-threes subgroup temperaments #Bossier }} |
| Error: 3.457 cents
| |
|
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|
| [[xenharmonic/photia7|Seven note albitonic scale]] | | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| [[xenharmonic/photia12|Twelve note chromatic scale]]
| |
|
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|
| =Huntington=
| | Scales: |
| Subgroup: 2.5.7.13
| | * [[Bossier8]] – 8-tone albitonic scale |
| Commas: 640/637, 10985/10976
| | * [[Bossier11]] – 11-tone chromatic scale |
| Sval name: 10&27
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~16/13 = 357.002
| | == Penta a.k.a. mechanism == |
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
|
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|
| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| | * [[Penta5]] – 5-tone haplotonic scale |
| Error: 2.1001 cents
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
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|
| [[image:huntington_400edo.jpg]]
| | == Bluebirds == |
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
|
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|
| [[xenharmonic/huntington7|Seven note haplotonic scale]] | | Scales: |
| [[xenharmonic/huntington10|Ten note albitonic scale]] | | * [[Bluebirds6]] – 6-tone haplotonic scale |
| [[xenharmonic/huntington17|Seventeen note chromatic scale]] | | * [[Bluebirds7]] – 7-tone albitonic scale |
| | * [[Bluebirds13]] – 13-tone chromatic scale |
|
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|
| =Shoe= | | == Marveltri == |
| Subgroup: 2.5.7.11.13 | | {{See also| Subgroup temperaments #Marveltri }} |
| Commas: 176/175, 640/637, 847/845
| |
| Sval name: 16&21
| |
|
| |
|
| POTE generator: ~8/7 = 227.108
| | Scales: |
| | * [[Marveltri7]] – 7-tone albitonic scale |
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
| |
|
| Map: [<1 1 3 1 2|, <0 7 -1 13 9|]
| | == Edson == |
| EDOs: 16, 21, 37
| | {{See also| Subgroup temperaments #Edson }} |
| Error: 2.488
| |
|
| |
|
| [[image:xenharmonic/shoe_37edo.jpg]] | | Scales: |
| | * [[Edson5]] – 5-tone haplotonic scale |
| | * [[Edson7]] – 7-tone albitonic scale |
| | * [[Edson12]] – 12-tone chromatic scale |
| | * [[Edson17]] – 17-tone mega-chromatic scale |
|
| |
|
| [[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
| | == Photia == |
| [[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
| [[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Roulette=
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| Subgroup: 2.5.7.11.13
| |
| Commas: 176/175, 1375/1372, 640/637
| |
| Sval name: 6&25
| |
| Related temperament: [[xenharmonic/Wuerschmidt family|Hemiwuerschmidt]]
| |
|
| |
|
| POTE generator: ~28/25 = 194.594
| | Scales: |
| | * [[Photia7]] – 7-tone albitonic scale |
| | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
| | == Shoe a.k.a. llywelyn == |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| Error: 2.555 cents
| |
|
| |
|
| [[image:xenharmonic/roulette_37edo.jpg]] | | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
|
| |
|
| [[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] | | Scales: |
| [[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]] | | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| [[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]] | | * [[Shoe6]] – 6-tone haplotonic scale |
| [[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]] | | * [[Shoe11]] – 11-tone albitonic scale |
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| =Garibaldi= | | == Roulette == |
| Group: 2.3.5.7
| | {{See also | Hemimean clan #Roulette }} |
| Commas: 225/224, 3125/3087
| |
| Val name: 12&29
| |
|
| |
|
| POTE generator: ~3/2 = 702.085
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
|
| |
|
| Map: [<1 0 15 25|, <0 1 -8 -14|]
| | Scales: |
| EDOs: 7, 12, 17, 29, 41, 53, 94
| | * [[Roulette6]] – 6-tone haplotonic scale |
| Error: 2.834
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[xenharmonic/garibaldi12|Twelve note albitonic scale]]
| | == Silver == |
| [[xenharmonic/garibaldi17|Seventeen note chromatic scale]]
| | {{See also | No-threes subgroup temperaments #Silver }} |
|
| |
|
| =Baldy=
| | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| Subgroup: 2.9.5.7.13
| |
| Commas: 225/224, 325/324, 640/637
| |
| Sval name: 6&35
| |
| Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]
| |
|
| |
|
| POTE generator: ~9/8 = 204.090
| | Scales: |
| | * [[Silver7]] – 7-tone haplotonic scale |
| | * [[Silver10]] – 10-tone albitonic scale |
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|]
| | == Baldy == |
| EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]]
| | {{See also| Subgroup temperaments #Baldy }} |
| Error: 2.617 cents
| |
|
| |
|
| [[image:baldy_147edo.jpg]] | | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
|
| |
|
| [[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] | | Scales |
| [[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]] | | * [[Baldy6]] – 6-tone haplotonic scale |
| [[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]] | | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| =Bossier=
| |
| Subgroup: 2.7.11.13
| |
| Commas: 1573/1569, 15488/15379
| |
| Sval name: 3&17
| |
|
| |
|
| POTE generator: ~14/11 = 421.309
| | == Guanyintet == |
| | {{See also | Subgroup temperaments #Guanyintet }} |
|
| |
|
| Map: [<1 0 1 3|, <0 8 7 2|]
| | Scales: |
| EDOs: 17, 20, 37, 57, 94, 225
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Error: 2.665 cents
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| [[image:bossier_225edo.jpg]]
| | == Radon == |
| | {{See also| Gamelismic clan #Radon }} |
|
| |
|
| [[xenharmonic/bossier8|Eight note albitonic scale]] | | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| [[xenharmonic/bossier11|Eleven note chromatic scale]]
| |
| [[xenharmonic/bossier14|Fourteen note mega chromatic scale]]
| |
|
| |
|
| =Radon=
| | * [[Radon5]] – 5-tone haplotonic scale |
| Subgroup: 2.3.7.11
| | * [[Radon11]] – 11-tone albitonic scale |
| Commas: 896/891, 1029/1024
| | * [[Radon16]] – 16-tone chromatic scale |
| Sval name: 5&36
| |
| Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]
| |
|
| |
|
| POTE generator: ~8/7 = 234.381
| | == Gariberttet == |
| | {{See also | Subgroup temperaments #Gariberttet }} |
|
| |
|
| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | Scales: |
| EDOs: 5, 36, 41, 87, 128
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Error: 2.925 cents
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| [[image:radon_128edo.jpg]]
| | == Namo == |
| | {{See also| Rastmic clan #Namo }} |
|
| |
|
| [[xenharmonic/radon5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/radon11|Eleven note albitonic scale]] | | * [[Namo7]] – 7-tone haplotonic scale |
| [[xenharmonic/radon16|Sixteen note chromatic scale]] | | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| =Myna= | | == Sentry == |
| Group: 2.3.5.7
| | {{See also | Subgroup temperaments #Sentry }} |
| Commas: 126/125, 1728/1715
| |
| Val name: 4&27
| |
|
| |
|
| POTE generator: ~6/5 = 310.146
| | Scales: |
| | * [[Sentry5]] – 5-tone haplotonic scale |
| | * [[Sentry8]] – 8-tone albitonic scale |
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| Map: [<1 9 9 8|, <0 -10 -9 -7|]
| | == Hemif == |
| EDOs: 4, 27, 31, 58, 89
| | {{See also| No-fives subgroup temperaments #Hemif }} |
| Error: 3.310 cents
| |
|
| |
|
| [[image:myna_89edo.jpg]] | | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
|
| |
|
| [[xenharmonic/myna7|Seven note haplotonic scale]] | | Scales: |
| [[xenharmonic/myna11|Eleven note albitonic scale]] | | * [[Hemif7]] – 7-tone haplotonic scale |
| [[xenharmonic/myna15|Fifteen note chromatic scale]] | | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| =Silver= | | == Garibaldi == |
| Subgroup: 2.5.7.13.17
| | {{Main| Garibaldi temperament }} |
| Commas: 170/169, 640/637, 5525/5488
| | {{See also| Schismatic family #Garibaldi }} |
| Sval name: 10&27
| |
|
| |
|
| POTE generator: ~13/8 = 842.711
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
|
| |
|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
| | Scales: |
| EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|487]]
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| Error: 3.437
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| [[image:silver_487edo.jpg]]
| | == Mabilic == |
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
|
| |
|
| [[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| [[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Mabila=
| | Scales: |
| Subgroup: 2.5.7
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| Comma: 1071875/1048576
| | * [[Mabilic9]] – 9-tone albitonic scale |
| Sval name: 7&9
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: ~175/128 = 527.236
| | == Indium == |
| | {{See also | Subgroup temperaments #Indium }} |
|
| |
|
| Map: [<1 1 5|, <0 3 -5|]
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| EDOs: 7, 9, 16, 25, 41, 66
| |
| Error: 3.560
| |
|
| |
|
| [[image:mabila_66edo.jpg]] | | Scales: |
| | * [[Indium8]] – 8-tone albitonic scale |
| | * [[Indium17]] – 17-tone chromatic scale |
|
| |
|
| [[xenharmonic/mabila7|Seven note haplotonic scale]] | | ; Music |
| [[xenharmonic/mabila9|Nine note albitonic scale]] | | * ''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] |
| [[xenharmonic/mabila16|Sixteen note chromatic scale]] | |
|
| |
|
| =Meantone= | | == Starlingtet == |
| Group: 2.3.5.7
| | {{See also | Subgroup temperaments #Starlingtet }} |
| Commas: 81/80, 126/125
| |
| Val name: 12&19
| |
|
| |
|
| POTE generator: 696.495
| | Scales: |
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13|, <0 1 4 10|]
| | == Lovecraft == |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
| Error: 3.585
| |
|
| |
|
| [[image:meantone_31edo.jpg]] | | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
|
| |
|
| [[xenharmonic/meantone5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/meantone7|Seven note albitonic scale]] | | * [[Lovecraft5]] – 5-tone haplotonic scale |
| [[xenharmonic/meantone12|Twelve note chromatic scale]] | | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| =Starlingtet= | | == Blackbirds == |
| Group: 2.5/3.7/3
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| Comma: 126/125
| |
| Svalname: 4&15
| |
| Related temperaments: starling; becomes myna
| |
| POTE generator: ~6/5 = 311.213
| |
|
| |
|
| Map: [<1 0 -1|, <0 1 3|]
| | Scales: |
| EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| Error: 311.213
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| [[xenharmonic/starlingtet4|Four note haplotonic scale]]
| | == Laz == |
| [[xenharmonic/starlingtet7|Seven note albitonic scale]]
| | {{See also | Subgroup temperaments #Laz }} |
| [[xenharmonic/starlingtet11|Eleven note chromatic scale]]
| |
|
| |
|
| =Indium=
| | Scales: |
| Subgroup: 2.5/3.7/3.11/3
| | * [[Laz5]] – 5-tone haplotonic scale |
| Commas: 3025/3024, 3125/3087
| | * [[Laz9]] – 9-tone albitonic scale |
| Sval name: 8&33
| | * [[Laz13]] – 13-tone chromatic scale |
|
| |
|
| POTE generator: ~12/11 = 147.159
| | == Myna == |
| | {{Main| Myna }} |
| | {{See also| Starling temperaments #Myna }} |
|
| |
|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| |
| Error: 3.968 cents
| |
|
| |
|
| [[xenharmonic/indium8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/indium17|Seventeen note chromatic scale]] | | * [[Myna7]] – 7-tone haplotonic scale |
| | * [[Myna11]] – 11-tone albitonic scale |
| | * [[Myna15]] – 15-tone chromatic scale |
|
| |
|
| Music
| | == Greeley == |
| [[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]] (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1532|details]]
| | {{See also| Subgroup temperaments #Greeley }} |
|
| |
|
| =Magic=
| | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
| Group: 2.3.5.7.11
| |
| Commas: 100/99, 225/224, 245/243
| |
| Val name: 19&22
| |
|
| |
|
| POTE generator: ~5/4 = 380.696
| | Scales: |
| | * [[Greeley8]] – 8-tone albitonic scale |
| | * [[Greeley15]] – 15-tone chromatic scale |
|
| |
|
| Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
| | ; Music |
| EDOs: 19, 22, 41, 104, 145
| | * ''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] |
| Error: 4.489
| |
|
| |
|
| [[image:xenharmonic/magic_145edo.jpg]]
| | == Ammon == |
| | {{See also| Subgroup temperaments #Ammon }} |
|
| |
|
| [[xenharmonic/magic7|Seven note haplotonic scale]] | | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| [[xenharmonic/magic10|Ten note albitonic scale]]
| |
| [[xenharmonic/magic13|Thirteen note chromatic scale]]
| |
| [[xenharmonic/magic16|Sixteen note mega chromatic scale]]
| |
|
| |
|
| =Hemif=
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Ammon8]] – 8-tone albitonic scale |
| Commas: 144/143, 243/242, 364/363
| | * [[Ammon13]] – 13-tone chromatic scale |
| Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]
| |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | == Mothwelltri == |
| | {{See also| Subgroup temperaments #Mothwelltri }} |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 24, 41, 58
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| Error: 4.867 cents
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
|
| |
|
| [[image:hemif_58edo.jpg]]
| | == Sulis == |
| | {{See also| Subgroup temperaments #Sulis }} |
|
| |
|
| [[xenharmonic/hemif7|Seven note haplotonic scale]] | | Scales: |
| [[xenharmonic/hemif10|Ten note albitonic scale]] | | * [[Sulis7]] – 7-tone haplotonic scale |
| [[xenharmonic/hemif17|Seventeen note chromatic scale]] | | * [[Sulis10]] – 10-tone albitonic scale |
| | * [[Sulis13]] – 13-tone chromatic scale |
|
| |
|
| =Skwares= | | == Skwares == |
| Subgroup: 2.3.7.11
| | {{Main| Squares }} |
| Commas: 99/98, 243/242
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| Related temperament: [[xenharmonic/Meantone family|squares]]
| |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | Scales: |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| | * [[Skwares8]] – 8-tone albitonic scale |
| Error: 4.942 cents
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| | * [[Skwares14]] – 14-tone chromatic scale |
|
| |
|
| [[xenharmonic/skwares8|Eight note albitonic scale]]
| | == Orwell == |
| [[xenharmonic/skwares11|Eleven note mega albitonic scale]]
| | {{Main| Orwell }} |
| [[xenharmonic/skwares14|Fourteen note chromatic scale]]
| | {{See also| Semicomma family #Orwell }} |
|
| |
|
| =Sensi=
| | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| Group: 2.3.5.7
| |
| Commas: 126/126, 245/243
| |
| Val name: 19&27
| |
|
| |
|
| POTE generator: ~9/7 = 443.383
| | Scales: |
| | * [[Orwell5]] – 5-tone haplotonic scale |
| | * [[Orwell9]] – 9-tone albitonic scale |
| | * [[Orwell13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 6 8 11|, <0 -7 -9 -13|]
| | == Magicaltet == |
| EDOs: 5, 8, 11, 19, 27, 46
| | {{See also| Subgroup temperaments #Magicaltet }} |
| Error: 5.019
| |
|
| |
|
| [[image:xenharmonic/sensi_46edo.jpg]] | | Scales: |
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
|
| |
|
| [[xenharmonic/sensi5|Five note haplotonic scale]]
| | == Magic == |
| [[xenharmonic/sensi8|Eight note albitonic scale]]
| | {{Main| Magic }} |
| [[xenharmonic/sensi11|Eleven note mega albitonic scale]]
| | {{See also| Magic family #Magic }} |
| [[xenharmonic/sensi19|Nineteen note chromatic scale]]
| |
|
| |
|
| =Greeley=
| | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| Subgroup: 2.5/3.7/3.11/3
| |
| Commas: 121/120, 126/125
| |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | Scales: |
| | * [[Magic7]] – 7-tone haplotonic scale |
| | * [[Magic10]] – 10-tone albitonic scale |
| | * [[Magic13]] – 13-tone chromatic scale |
| | * [[Magic16]] – 16-tone mega-chromatic scale |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | == Kiribati == |
| EDOs: 8, 15, 23, 77, 100
| | {{See also| Subgroup temperaments #Kiribati }} |
| Error: 5.404 cents
| |
|
| |
|
| [[xenharmonic/greeley8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/greeley15|Fifteen note chromatic scale]] | | * [[Kiribati13]] – 13-tone chromatic scale |
| | * [[Kiribati14]] – 14-tone chromatic scale |
|
| |
|
| ==Music== | | == Score == |
| [[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]] by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15
| | {{See also|No-threes subgroup temperaments #Score }} |
|
| |
|
| =Semidim=
| | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| 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: |
| | * [[Score5]] – 5-tone haplotonic scale |
| | * [[Score7]] – 7-tone albitonic scale |
| | * [[Score9]] – 9-tone mega-albitonic scale |
| | * [[Score11]] – 11-tone chromatic scale |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | == Sensi == |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| | {{Main| Sensi }} |
| Error: 5.433 cents
| | {{See also| Sensipent family #Sensi }} |
|
| |
|
| [[xenharmonic/semidim8|Eight note albitonic scale]] | | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| [[xenharmonic/semidim13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Orwell=
| | Scales: |
| Group: 2.3.5.7.11
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Commas: 99/98, 121/120, 176/175
| | * [[Sensi8]] – 8-tone albitonic scale |
| Val name: 9&22
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| POTE generator: ~7/6 = 271.426
| | === Sensation === |
| | {{Main| Sensi }} |
| | {{See also| Sensipent family #Sensi }} |
|
| |
|
| Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
| | Scales: |
| EDOs: 9, 22, 31, 53, 84
| | * [[Sensi5]] – 5-tone haplotonic scale |
| Error: 5.584
| | * [[Sensi8]] – 8-tone albitonic scale |
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| [[image:xenharmonic/orwell_84edo.png]]
| | == Meantone == |
| | {{Main| Meantone }} |
| | {{See also| Meantone family #Meantone }} |
|
| |
|
| [[xenharmonic/orwell5|Five note haplotonic scale]] | | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| [[xenharmonic/orwell9|Nine note albitonic scale]]
| |
| [[xenharmonic/orwell13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Magicaltet=
| | Scales: |
| Group: 2.5/3.7.11
| | * [[Meantone5]] – 5-tone haplotonic scale |
| Commas: 100/99, 385/384
| | * [[Meantone7]] – 7-tone albitonic scale |
| Related temperaments: 4&7&15, magic
| | * [[Meantone12]] – 12-tone chromatic scale |
|
| |
|
| POTE generator: ~6/5 = 319.424
| | == Mohaha == |
| | {{See also| Rastmic clan #Mohaha }} |
|
| |
|
| Map: [<1 0 5 2|, <0 1 -3 2|]
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd
| |
| Error: 5.720
| |
|
| |
|
| [[xenharmonic/magicaltet7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/magicaltet11|Eleven note chromatic scale]] | | * [[Mohaha7]] – 7-tone albitonic scale |
| [[xenharmonic/magicaltet15|Fifteen note mega scale]]
| | * [[Mohaha10]] – 10-tone chromatic scale |
|
| |
|
| =Mothwelltri=
| | Music: |
| Group: 2.7/3.11
| | ; [[Billy Stiltner]] |
| Comma: 99/98
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
| Svalname: 1&4
| |
| Related temperament: Orwell
| |
|
| |
|
| POTE generator:~7/6 = 268.508
| | === Mohoho === |
| | {{See also| Rastmic clan #Mohoho }} |
|
| |
|
| Map: [<1 0 1|, <0 1 2|]
| | == Joan == |
| EDOs: 9, 40, 49c, 58c, 67c, 76c
| | {{See also| Subgroup temperaments #Joan }} |
| Error: 6.119 cents
| |
|
| |
|
| [[xenharmonic/mothwelltri5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/mothwelltri9|Nine note albitonic scale]] | | * [[Joan5]] – 5-tone haplotonic scale |
| [[xenharmonic/mothwelltri13|Thirteen note chromatic scale]] | | * [[Joan7]] – 7-tone albitonic scale |
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| | * [[Joan11]] – 11-tone chromatic scale |
|
| |
|
| =Lovecraft= | | == Tutone == |
| Group: 2.11.13
| | {{See also| Hemimean clan #Tutone }} |
|
| |
|
| POTE generator: ~13/11 = 279.318
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
|
| |
|
| Map: [<1 1 0|, <0 2 3|]
| | Scales: |
| EDOS: 13, 30, 43, 73, 116b
| | * [[Tutone6]] – 6-tone haplotonic scale |
| Error: 6.026
| | * [[Tutone7]] – 7-tone albitonic scale |
| | * [[Tutone13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/lovecraft5|Five note haplotonic scale]]
| | == Stacks == |
| [[xenharmonic/lovecraft9|Nine note albitonic scale]]
| | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| [[xenharmonic/lovecraft13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Bleu=
| | Scales: |
| Group: 2.3.7.11.13
| | * [[Stacks5]] – 5-tone haplotonic scale |
| Commas: 78/77, 99/98, 144/143
| | * [[Stacks8]] – 8-tone albitonic scale |
| Sval name: 9&17
| | * [[Stacks11]] – 11-tone chromatic scale |
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~13/12 = 139.990
| | == Bleu == |
| | {{See also| No-fives subgroup temperaments #Bleu }} |
|
| |
|
| Map: [<1 1 2 3 3|, <0 5 7 4 6|]
| | Scales: |
| EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
| | * [[Bleu8]] – 8-tone haplotonic scale |
| Error: 6.361
| | * [[Bleu9]] – 9-tone albitonic scale |
| | * [[Bleu17]] – 17-tone chromatic scale |
|
| |
|
| [[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]]
| | == Sephiroth == |
| [[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| [[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Mohaha=
| | Scales: |
| Subgroup: 2.3.5.11
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| Commas: 81/80, 121/120
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| Related temperament: [[xenharmonic/Meantone family|mohajira]]
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | == Archy == |
| | {{Main| Superpyth }} |
| | {{See also| Archytas clan #Archy }} |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | Scales: |
| EDOs: 24, 31, 69d, 100d, 131bd
| | * [[Archy5]] – 5-tone haplotonic scale |
| Error: 6.733 cents
| | * [[Archy7]] – 7-tone albitonic scale |
| | * [[Archy12]] – 12-tone chromatic scale |
|
| |
|
| [[xenharmonic/mohaha7|Seven note albitonic scale]]
| | === Supra === |
| [[xenharmonic/mohaha10|Ten note chromatic scale]]
| | {{Main| Superpyth }} |
| | {{See also| Archytas clan #Supra }} |
|
| |
|
| ==Mohoho==
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| Subgroup: 2.3.5.11.13
| |
| Commas: 66/65, 81/80, 121/120
| |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | Scales: |
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | === Supraphon === |
| EDOs: 17c, 24, 31, 55, 86de, 141cde
| | {{Main| Superpyth }} |
| Error: 9.556 cents
| | {{See also| Archytas clan #Supraphon }} |
|
| |
|
| =Tutone= | | == Suhajira == |
| Subgroup: 2.9.5.7.11
| | {{See also| Archytas clan #Suhajira }} |
| Commas: 81/80, 99/98, 126/125
| |
| Related temperament: [[xenharmonic/Meantone family|meantone]]
| |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | Scales: |
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| | * [[Suhajira10]] – 10-tone albitonic scale |
| | * [[Suhajira17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | == Machine == |
| EDOs: 25, 31, 68b, 99b
| | {{See also| Subgroup temperaments #Machine}} |
| Error: 7.047 cents
| |
|
| |
|
| [[xenharmonic/tutone6|Six note haplotonic scale]] | | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| [[xenharmonic/tutone7|Seven note albitonic scale]]
| |
| [[xenharmonic/tutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Leantone=
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Machine5]] – 5-tone haplotonic scale |
| Commas: 45/44, 56/55, 81/80
| | * [[Machine6]] – 6-tone albitonic scale |
| Related temperament: [[meanenneadecal]]
| | * [[Machine11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | == Deutone == |
| | {{See also| Hemimean clan #Deutone }} |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| |
| Error: 20.338 cents
| |
|
| |
|
| [[xenharmonic/leantone6|Six note haplotonic scale]] | | Scales: |
| [[xenharmonic/leantone7|Seven note albitonic scale]] | | * [[Deutone6]] – 6-tone haplotonic scale |
| [[xenharmonic/leantone13|Thirteen note chromatic scale]] | | * [[Deutone7]] – 7-tone albitonic scale |
| | * [[Deutone13]] – 13-tone chromatic scale |
|
| |
|
| =Score= | | == Negra == |
| Subgroup: 2.7.11.13
| | {{Main| Negri }} |
| Commas: 343/338, 847/832
| | {{See also| Marvel temperaments #Negri }} |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | == Porkypine == |
| | {{Main| Porcupine }} |
| | {{See also| Porcupine family #Porcupine }} |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | Scales: |
| EDOs: 5, 7, 9, 11, 20
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| Error: 8.052 cents
| | * [[Porkypine8]] – 8-tone albitonic scale |
| | * [[Porkypine15]] – 15-tone chromatic scale |
|
| |
|
| [[image:xenharmonic/score_20edo.jpg]]
| | == Skateboard == |
| | {{See also| Subgroup temperaments #Skateboard }} |
|
| |
|
| [[xenharmonic/score5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/score7|Seven note albitonic scale]] | | * [[Skateboard7]] – 7-tone haplotonic scale |
| [[xenharmonic/score9|Nine note mega albitonic scale]] | | * [[Skateboard11]] – 11-tone albitonic scale |
| [[xenharmonic/score11|Eleven note chromatic scale]]
| | * [[Skateboard15]] – 15-tone chromatic scale |
|
| |
|
| =Supra= | | == Augment == |
| Subgroup: 2.3.7.11
| | {{See also| No-threes subgroup temperaments #Augment }} |
| Commas: 64/63, 99/98
| |
| Related temperament: [[xenharmonic/suprapyth|suprapyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | Scales: |
| EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
| | * [[Augment6]] – 6-tone haplotonic scale |
| Error: 9.795 cents
| | * [[Augment9]] – 9-tone albitonic scale |
| | * [[Augment12]] – 12-tone chromatic scale |
|
| |
|
| [[xenharmonic/supra7|Seven note albitonic scale]]
| | == Semaphore == |
| [[xenharmonic/supra12|Twelve note chromatic scale]]
| | {{Main| Semaphore and godzilla }} |
| | {{See also| Semaphoresmic clan #Semaphore }} |
|
| |
|
| ==Supraphon==
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
| Subgroup: 2.3.7.11.13
| |
| Commas: 64/63, 78/77, 99/98
| |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | Scales: |
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| | * [[Semaphore9]] – 9-tone albitonic scale |
| | * [[Semaphore14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | == Kryptonite == |
| EDOs: 5, 7, 12, 17
| | {{See also| Subgroup temperaments #Kryptonite }} |
| Error: 10.534 cents
| |
|
| |
|
| ==Machine==
| | Scales: |
| Subgroup: 2.9.7.11
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| Commas: 64/63, 99/98
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | == Oregon == |
| | {{See also| Orgonia #Oregon }} |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | Scales: |
| EDOs: 5, 6, 11, 17, 28
| | * [[Oregon7]] – 7-tone haplotonic scale |
| Error: 10.100 cents
| | * [[Oregon11]] – 11-tone albitonic scale |
| | * [[Oregon15]] – 15-tone chromatic scale |
|
| |
|
| [[xenharmonic/machine5|Five note haplotonic scale]]
| | == Antikythera == |
| [[xenharmonic/machine6|Six note albitonic scale]]
| | {{See also| Jubilismic clan #Antikythera }} |
| [[xenharmonic/machine11|Eleven note chromatic scale]]
| |
|
| |
|
| =Antikythera=
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| Subgroup: 2.9.5.7
| |
| Commas: 50/49, 64/63
| |
| Related temperament: [[xenharmonic/pajara|pajara]]
| |
|
| |
|
| POTE generator: ~8/7 = 214.095
| | Scales: |
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| | * [[Antikythera10]] – 10-tone albitonic scale |
| | * [[Antikythera16]] – 16-tone chromatic scale |
|
| |
|
| Map: [<2 0 11 12|, <0 1 -1 -1|]
| | == Glacial == |
| EDOS: 4, 6, 10, 16, 22, 28
| | {{See also| Subgroup temperaments #Glacial }} |
| Error: 11.508 cents
| |
|
| |
|
| [[xenharmonic/antikythera6|Six note haplotonic scale]] | | Scales: |
| [[xenharmonic/antikythera10|Ten note albitonic scale]] | | * [[Glacial6]] – 6-tone haplotonic scale |
| [[xenharmonic/antikythera16|Sixteen note chromatic scale]] | | * [[Glacial7]] – 7-tone albitonic scale |
| | * [[Glacial13]] – 13-tone chromatic scale |
|
| |
|
| =Deutone= | | == Leantone == |
| Subgroup: 2.9.5.7.13
| | {{See also| Hemimean clan #Leantone }} |
| Commas: 65/64, 81/80, 91/90
| |
| Related temperament: [[xenharmonic/Meantone family|meanpop]]
| |
|
| |
|
| POTE generator: ~9/8 = 191.059
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
|
| |
|
| Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]
| | Scales: |
| EDOs: 6, 7, 13, 19, 25, 44, 69
| | * [[Leantone6]] – 6-tone haplotonic scale |
| Error: 12.145 cents
| | * [[Leantone7]] – 7-tone albitonic scale |
| | * [[Leantone13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/deutone6|Six note haplotonic scale]]
| | == Notes == |
| [[xenharmonic/deutone7|seven note albitonic scale]]
| |
| [[xenharmonic/deutone13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Semiphore=
| | [[Category:Lists of scales]] |
| Subgroup: 2.3.7
| | [[Category:Tempered scales| ]] |
| Comma: 49/48
| | [[Category:Listen]] |
| | [[Category:Rank 2]] |
|
| |
|
| POTE generator: ~7/6 = 250.385
| | {{todo|cleanup}} |
| | |
| Map: [<1 0 2|, <0 2 1|]
| |
| EDOs: 5, 9, 14, 19, 24
| |
| Error: 12.428
| |
| | |
| [[xenharmonic/semiphore5|Five note haplotonic scale]]
| |
| [[xenharmonic/semiphore9|Nine note albitonic scale]]
| |
| [[xenharmonic/semiphore14|Fourteen note chromatic scale]]
| |
| | |
| =Augment=
| |
| Subgroup: 2.5.7.11
| |
| Commas: 56/55, 128/125
| |
| Related temperament: [[xenharmonic/Augmented family|augmented]]
| |
| | |
| POTE generator: ~8/7 = 228.275
| |
| | |
| Map: [<3 7 0 2|, <0 0 1 1|]
| |
| EDOs: 3, 6, 9, 15, 21
| |
| Error: 12.830 cents
| |
| | |
| [[xenharmonic/augment6|Six note haplotonic scale]]
| |
| [[xenharmonic/augment9|Nine note albitonic scale]]
| |
| [[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div>
| |
| <h4>Original HTML content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:103:&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:103 --><!-- ws:start:WikiTextTocRule:104: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:106 --><!-- ws:start:WikiTextTocRule:107: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:107 --><!-- ws:start:WikiTextTocRule:108: --><!-- ws:end:WikiTextTocRule:108 --><!-- ws:start:WikiTextTocRule:109: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:109 --><!-- ws:start:WikiTextTocRule:110: --> | <a href="#Neutraltri">Neutraltri</a><!-- ws:end:WikiTextTocRule:110 --><!-- ws:start:WikiTextTocRule:111: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:111 --><!-- ws:start:WikiTextTocRule:112: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:112 --><!-- ws:start:WikiTextTocRule:113: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:113 --><!-- ws:start:WikiTextTocRule:114: --><!-- ws:end:WikiTextTocRule:114 --><!-- ws:start:WikiTextTocRule:115: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:115 --><!-- ws:start:WikiTextTocRule:116: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:116 --><!-- ws:start:WikiTextTocRule:117: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:117 --><!-- ws:start:WikiTextTocRule:118: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:118 --><!-- ws:start:WikiTextTocRule:119: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:119 --><!-- ws:start:WikiTextTocRule:120: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:120 --><!-- ws:start:WikiTextTocRule:121: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:121 --><!-- ws:start:WikiTextTocRule:122: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:122 --><!-- ws:start:WikiTextTocRule:123: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:123 --><!-- ws:start:WikiTextTocRule:124: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:130 --><!-- ws:start:WikiTextTocRule:131: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:131 --><!-- ws:start:WikiTextTocRule:132: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:133 --><!-- ws:start:WikiTextTocRule:134: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:134 --><!-- ws:start:WikiTextTocRule:135: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:135 --><!-- ws:start:WikiTextTocRule:136: --><!-- ws:end:WikiTextTocRule:136 --><!-- ws:start:WikiTextTocRule:137: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:137 --><!-- ws:start:WikiTextTocRule:138: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:138 --><!-- ws:start:WikiTextTocRule:139: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:139 --><!-- ws:start:WikiTextTocRule:140: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:140 --><!-- ws:start:WikiTextTocRule:141: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:141 --><!-- ws:start:WikiTextTocRule:142: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:142 --><!-- ws:start:WikiTextTocRule:143: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:143 --><!-- ws:start:WikiTextTocRule:144: --><!-- ws:end:WikiTextTocRule:144 --><!-- ws:start:WikiTextTocRule:145: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:145 --><!-- ws:start:WikiTextTocRule:146: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:146 --><!-- ws:start:WikiTextTocRule:147: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:147 --><!-- ws:start:WikiTextTocRule:148: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:148 --><!-- ws:start:WikiTextTocRule:149: --><!-- ws:end:WikiTextTocRule:149 --><!-- ws:start:WikiTextTocRule:150: --><!-- ws:end:WikiTextTocRule:150 --><!-- ws:start:WikiTextTocRule:151: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:151 --><!-- ws:start:WikiTextTocRule:152: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:152 --><!-- ws:start:WikiTextTocRule:153: --> | <a href="#Semiphore">Semiphore</a><!-- ws:end:WikiTextTocRule:153 --><!-- ws:start:WikiTextTocRule:154: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:154 --><!-- ws:start:WikiTextTocRule:155: -->
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| <!-- ws:end:WikiTextTocRule:155 --><!-- ws:start:WikiTextMediaRule:0:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/custom/11052942?h=0&amp;w=0&quot; class=&quot;WikiMedia WikiMediaCustom&quot; id=&quot;wikitext@@media@@type=&amp;quot;custom&amp;quot; key=&amp;quot;11052942&amp;quot;&quot; title=&quot;Custom Media&quot;/&gt; --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js">
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| </script><!-- ws:end:WikiTextMediaRule:0 --><br />
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| <hr />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:1:&lt;h1&gt; --><h1 id="toc0"><a name="Definitions"></a><!-- ws:end:WikiTextHeadingRule:1 -->Definitions</h1>
| |
| By a <em>chromatic pair</em> is meant a pair of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales">MOS</a> in some rank two temperament (which may often be a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/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="http://xenharmonic.wikispaces.com/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 />
| |
| <!-- ws:start:WikiTextHeadingRule:3:&lt;h1&gt; --><h1 id="toc1"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:3 -->Terrain</h1>
| |
| Subgroup: 2.9/5.9/7<br />
| |
| Commas: 250047/250000<br />
| |
| Sval name: 6&amp;21<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain">domain</a><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/POTE%20generator">POTE generator</a>: ~10/9 = 182.462<br />
| |
| <br />
| |
| Map: [&lt;3 0 -4|, &lt;0 1 2|]<br />
| |
| EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br />
| |
| Error: 0.0443 cents<br />
| |
| <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 />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:5:&lt;h1&gt; --><h1 id="toc2"><a name="Orgone"></a><!-- ws:end:WikiTextHeadingRule:5 -->Orgone</h1>
| |
| Subgroup: 2.7.11<br />
| |
| Commas: 65536/65219<br />
| |
| Svals: 4&amp;7<br />
| |
| <br />
| |
| POTE generator: ~77/64 = 323.372<br />
| |
| <br />
| |
| Map: [&lt;1 2 4|, &lt;0 3, -2|]<br />
| |
| EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308<br />
| |
| Error: 0.7313<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:157:&lt;img src=&quot;/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:157 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone15">Fifteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:7:&lt;h1&gt; --><h1 id="toc3"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:7 -->Bridgetown</h1>
| |
| Subgroup: 2.3.11/5.13/5<br />
| |
| Commas: 352/351, 676/675<br />
| |
| Sval name: 5&amp;24<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago">barabados</a><br />
| |
| <br />
| |
| POTE generator: ~15/13 = 248.285<br />
| |
| <br />
| |
| Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
| |
| EDOs: 5, 9, 14, 19, 24, 29<br />
| |
| Error: 0.8996 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:9:&lt;h2&gt; --><h2 id="toc4"><a name="Bridgetown-Music"></a><!-- ws:end:WikiTextHeadingRule:9 -->Music</h2>
| |
| <a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3" rel="nofollow">Paint in the Water 29</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Igliashon%20Jones">Igliashon Jones</a><br />
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow">Route 14 in Bridgetown</a> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:11:&lt;h1&gt; --><h1 id="toc5"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:11 -->Cata</h1>
| |
| Subgroup: 2.3.5.13<br />
| |
| Commas: 325/324, 625/624<br />
| |
| Sval name: 15&amp;19<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family">catakleismic</a><br />
| |
| <br />
| |
| POTE generator: ~6/5 = 317.076<br />
| |
| <br />
| |
| Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br />
| |
| EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd<br />
| |
| Error: 0.9355 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:158:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" /><!-- ws:end:WikiTextLocalImageRule:158 --><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata15">Fifteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata19">Nineteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Neutraltri"></a><!-- ws:end:WikiTextHeadingRule:13 -->Neutraltri</h1>
| |
| Subgroup: 2.3.11<br />
| |
| Commas: 243/242<br />
| |
| Svalname: 7&amp;17<br />
| |
| <br />
| |
| POTE generator: ~11/9 = 350.525<br />
| |
| <br />
| |
| Map: [&lt;1 1 2|, &lt;0 2 5|]<br />
| |
| EDOs: 7, 17, 24, 65, 89, 202, 291, 380<br />
| |
| Error: 1.007<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltri7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltri10">Ten note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltri17">Seventeen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:15:&lt;h1&gt; --><h1 id="toc7"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:15 -->Tridec</h1>
| |
| Subgroup: 2.7/5.11/5.13/5<br />
| |
| Commas: 847/845, 1001/1000<br />
| |
| Sval name: 5&amp;8<br />
| |
| <br />
| |
| POTE generator: ~13/10 = 454.461<br />
| |
| <br />
| |
| Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br />
| |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c<br />
| |
| Error: 1.057<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:17:&lt;h1&gt; --><h1 id="toc8"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:17 -->Pepperoni</h1>
| |
| Subgroup: 2.3.11/7.13/7<br />
| |
| Commas: 352/351, 364/363<br />
| |
| Sval name: 5&amp;12<br />
| |
| Related temperament: The <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Peppermint-24">Pepper fifth</a>, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 704.052<br />
| |
| <br />
| |
| Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
| |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
| |
| Error: 1.298 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:19:&lt;h1&gt; --><h1 id="toc9"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:19 -->Slendric</h1>
| |
| Subgroup: 2.3.7<br />
| |
| Comma: 1029/1024<br />
| |
| Sval name: 5&amp;21<br />
| |
| <br />
| |
| POTE generator: ~8/7 = 233.688<br />
| |
| <br />
| |
| Map: [&lt;1 1 3|, &lt;0 3 -1|]<br />
| |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190<br />
| |
| Error: 1.109 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:159:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:159 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:21:&lt;h2&gt; --><h2 id="toc10"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:21 -->Music</h2>
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow">The 11th Slendric Fanfare</a><br />
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a><br />
| |
| by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:23:&lt;h1&gt; --><h1 id="toc11"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:23 -->Nestoria</h1>
| |
| Subgroup: 2.3.5.19<br />
| |
| Commas: 361/360, 513/512<br />
| |
| Sval name: 12&amp;29<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br />
| |
| <br />
| |
| POTE generator: ~3/2 = 701.746<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br />
| |
| Error: 1.819 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:25:&lt;h1&gt; --><h1 id="toc12"><a name="Marveltri"></a><!-- ws:end:WikiTextHeadingRule:25 -->Marveltri</h1>
| |
| Subgroup: 2.5.9/7<br />
| |
| Comma: 225/224<br />
| |
| Sval name: 3&amp;13<br />
| |
| Related temperaments: marvel, 22&amp;47, magic<br />
| |
| <br />
| |
| POTE generator: ~5/4 = 382.618<br />
| |
| <br />
| |
| Map: [&lt;1 0 5|, &lt;0 1 -2|]<br />
| |
| EDOs: 12, 13, 16, 19, 22, 47, 69<br />
| |
| Error: 2.043 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri10">Ten note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13">Thirteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:27:&lt;h1&gt; --><h1 id="toc13"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:27 -->Photia</h1>
| |
| Subgroup: 2.3.5.17.19<br />
| |
| Commas: 171/170, 256/255, 324/323<br />
| |
| Sval name: 12&amp;41<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br />
| |
| <br />
| |
| POTE generator: ~3/2 = 701.470<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 65<br />
| |
| Error: 3.457 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:29:&lt;h1&gt; --><h1 id="toc14"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:29 -->Huntington</h1>
| |
| Subgroup: 2.5.7.13<br />
| |
| Commas: 640/637, 10985/10976<br />
| |
| Sval name: 10&amp;27<br />
| |
| <br />
| |
| POTE generator: ~16/13 = 357.002<br />
| |
| <br />
| |
| Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
| |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
| |
| Error: 2.1001 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:160:&lt;img src=&quot;/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:160 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:31:&lt;h1&gt; --><h1 id="toc15"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:31 -->Shoe</h1>
| |
| Subgroup: 2.5.7.11.13<br />
| |
| Commas: 176/175, 640/637, 847/845<br />
| |
| Sval name: 16&amp;21<br />
| |
| <br />
| |
| POTE generator: ~8/7 = 227.108<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]<br />
| |
| EDOs: 16, 21, 37<br />
| |
| Error: 2.488<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:161:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg" alt="shoe_37edo.jpg" title="shoe_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:161 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe6">shoe6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe11">shoe11</a> - eleven note note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe16">shoe16</a> - sixteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:33:&lt;h1&gt; --><h1 id="toc16"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:33 -->Roulette</h1>
| |
| Subgroup: 2.5.7.11.13<br />
| |
| Commas: 176/175, 1375/1372, 640/637<br />
| |
| Sval name: 6&amp;25<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
| |
| <br />
| |
| POTE generator: ~28/25 = 194.594<br />
| |
| <br />
| |
| Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]<br />
| |
| EDOs: 6, 7, 13, 19, 25, 31, 37<br />
| |
| Error: 2.555 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:162:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:162 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette7">roulette7</a> - seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette13">roulette13</a> - thirteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19">roulette19</a> - nineteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale">mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:35:&lt;h1&gt; --><h1 id="toc17"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:35 -->Garibaldi</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 225/224, 3125/3087<br />
| |
| Val name: 12&amp;29<br />
| |
| <br />
| |
| POTE generator: ~3/2 = 702.085<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]<br />
| |
| EDOs: 7, 12, 17, 29, 41, 53, 94<br />
| |
| Error: 2.834<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12">Twelve note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:37:&lt;h1&gt; --><h1 id="toc18"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:37 -->Baldy</h1>
| |
| Subgroup: 2.9.5.7.13<br />
| |
| Commas: 225/224, 325/324, 640/637<br />
| |
| Sval name: 6&amp;35<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">Garibaldi</a><br />
| |
| <br />
| |
| POTE generator: ~9/8 = 204.090<br />
| |
| <br />
| |
| Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]<br />
| |
| EDOs: 6, 11, 17, 23, 29, 35, 41, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 100, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/147edo">147</a><br />
| |
| Error: 2.617 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:163:&lt;img src=&quot;/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:163 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6">baldy6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy11">baldy11</a> - eleven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy17">baldy17</a> - seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:39:&lt;h1&gt; --><h1 id="toc19"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:39 -->Bossier</h1>
| |
| Subgroup: 2.7.11.13<br />
| |
| Commas: 1573/1569, 15488/15379<br />
| |
| Sval name: 3&amp;17<br />
| |
| <br />
| |
| POTE generator: ~14/11 = 421.309<br />
| |
| <br />
| |
| Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br />
| |
| EDOs: 17, 20, 37, 57, 94, 225<br />
| |
| Error: 2.665 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:164:&lt;img src=&quot;/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="bossier_225edo.jpg" title="bossier_225edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:164 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier14">Fourteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:41:&lt;h1&gt; --><h1 id="toc20"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:41 -->Radon</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 896/891, 1029/1024<br />
| |
| Sval name: 5&amp;36<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gamelismic%20clan">Rodan</a><br />
| |
| <br />
| |
| POTE generator: ~8/7 = 234.381<br />
| |
| <br />
| |
| Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
| |
| EDOs: 5, 36, 41, 87, 128<br />
| |
| Error: 2.925 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:165:&lt;img src=&quot;/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:165 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:43:&lt;h1&gt; --><h1 id="toc21"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:43 -->Myna</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 126/125, 1728/1715<br />
| |
| Val name: 4&amp;27<br />
| |
| <br />
| |
| POTE generator: ~6/5 = 310.146<br />
| |
| <br />
| |
| Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br />
| |
| EDOs: 4, 27, 31, 58, 89<br />
| |
| Error: 3.310 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:166:&lt;img src=&quot;/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:166 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna11">Eleven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:45:&lt;h1&gt; --><h1 id="toc22"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:45 -->Silver</h1>
| |
| Subgroup: 2.5.7.13.17<br />
| |
| Commas: 170/169, 640/637, 5525/5488<br />
| |
| Sval name: 10&amp;27<br />
| |
| <br />
| |
| POTE generator: ~13/8 = 842.711<br />
| |
| <br />
| |
| Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br />
| |
| EDOs: 7, 10, 17, 27, 37, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 84, 131, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo">487</a><br />
| |
| Error: 3.437<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:167:&lt;img src=&quot;/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:167 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7">silver7</a> -seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver10">silver10</a> - ten note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver17">silver17</a> - seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:47:&lt;h1&gt; --><h1 id="toc23"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:47 -->Mabila</h1>
| |
| Subgroup: 2.5.7<br />
| |
| Comma: 1071875/1048576<br />
| |
| Sval name: 7&amp;9<br />
| |
| <br />
| |
| POTE generator: ~175/128 = 527.236<br />
| |
| <br />
| |
| Map: [&lt;1 1 5|, &lt;0 3 -5|]<br />
| |
| EDOs: 7, 9, 16, 25, 41, 66<br />
| |
| Error: 3.560<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:168:&lt;img src=&quot;/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:168 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:49:&lt;h1&gt; --><h1 id="toc24"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:49 -->Meantone</h1>
| |
| Group: 2.3.5.7<br />
| |
| Commas: 81/80, 126/125<br />
| |
| Val name: 12&amp;19<br />
| |
| <br />
| |
| POTE generator: 696.495<br />
| |
| <br />
| |
| Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]<br />
| |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143<br />
| |
| Error: 3.585<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextLocalImageRule:169:&lt;img src=&quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:169 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:51:&lt;h1&gt; --><h1 id="toc25"><a name="Starlingtet"></a><!-- ws:end:WikiTextHeadingRule:51 -->Starlingtet</h1>
| |
| Group: 2.5/3.7/3<br />
| |
| Comma: 126/125<br />
| |
| Svalname: 4&amp;15<br />
| |
| Related temperaments: starling; becomes myna<br />
| |
| POTE generator: ~6/5 = 311.213<br />
| |
| <br />
| |
| Map: [&lt;1 0 -1|, &lt;0 1 3|]<br />
| |
| EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b<br />
| |
| Error: 311.213<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet4">Four note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:53:&lt;h1&gt; --><h1 id="toc26"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:53 -->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="http://xenharmonic.wikispaces.com/indium8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| Music<br />
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow">The Cry of Indium</a> (in Indium 17) by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank">details</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:55:&lt;h1&gt; --><h1 id="toc27"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:55 -->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 />
| |
| <!-- ws:start:WikiTextLocalImageRule:170:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="magic_145edo.jpg" title="magic_145edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:170 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic13">Thirteen note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic16">Sixteen note mega chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:57:&lt;h1&gt; --><h1 id="toc28"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:57 -->Hemif</h1>
| |
| Subgroup: 2.3.7.11.13<br />
| |
| Commas: 144/143, 243/242, 364/363<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/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 />
| |
| <!-- ws:start:WikiTextLocalImageRule:171:&lt;img src=&quot;/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:171 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7">Seven note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif17">Seventeen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:59:&lt;h1&gt; --><h1 id="toc29"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:59 -->Skwares</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 99/98, 243/242<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/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="http://xenharmonic.wikispaces.com/skwares8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:61:&lt;h1&gt; --><h1 id="toc30"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:61 -->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 />
| |
| <!-- ws:start:WikiTextLocalImageRule:172:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:172 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11">Eleven note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:63:&lt;h1&gt; --><h1 id="toc31"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:63 -->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="http://xenharmonic.wikispaces.com/greeley8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley15">Fifteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:65:&lt;h2&gt; --><h2 id="toc32"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:65 -->Music</h2>
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow">A Greeley Steals Halloween</a> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank">Chris Vaisvil</a> in Greeley 15<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:67:&lt;h1&gt; --><h1 id="toc33"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:67 -->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="http://xenharmonic.wikispaces.com/semidim8">Eight note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:69:&lt;h1&gt; --><h1 id="toc34"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:69 -->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 />
| |
| <!-- ws:start:WikiTextLocalImageRule:173:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="orwell_84edo.png" title="orwell_84edo.png" /><!-- ws:end:WikiTextLocalImageRule:173 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:71:&lt;h1&gt; --><h1 id="toc35"><a name="Magicaltet"></a><!-- ws:end:WikiTextHeadingRule:71 -->Magicaltet</h1>
| |
| Group: 2.5/3.7.11<br />
| |
| Commas: 100/99, 385/384<br />
| |
| Related temperaments: 4&amp;7&amp;15, magic<br />
| |
| <br />
| |
| POTE generator: ~6/5 = 319.424<br />
| |
| <br />
| |
| Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]<br />
| |
| EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd<br />
| |
| Error: 5.720<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet11">Eleven note chromatic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet15">Fifteen note mega scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:73:&lt;h1&gt; --><h1 id="toc36"><a name="Mothwelltri"></a><!-- ws:end:WikiTextHeadingRule:73 -->Mothwelltri</h1>
| |
| Group: 2.7/3.11<br />
| |
| Comma: 99/98<br />
| |
| Svalname: 1&amp;4<br />
| |
| Related temperament: Orwell<br />
| |
| <br />
| |
| POTE generator:~7/6 = 268.508<br />
| |
| <br />
| |
| Map: [&lt;1 0 1|, &lt;0 1 2|]<br />
| |
| EDOs: 9, 40, 49c, 58c, 67c, 76c<br />
| |
| Error: 6.119 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:75:&lt;h1&gt; --><h1 id="toc37"><a name="Lovecraft"></a><!-- ws:end:WikiTextHeadingRule:75 -->Lovecraft</h1>
| |
| Group: 2.11.13<br />
| |
| <br />
| |
| POTE generator: ~13/11 = 279.318<br />
| |
| <br />
| |
| Map: [&lt;1 1 0|, &lt;0 2 3|]<br />
| |
| EDOS: 13, 30, 43, 73, 116b<br />
| |
| Error: 6.026<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:77:&lt;h1&gt; --><h1 id="toc38"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:77 -->Bleu</h1>
| |
| Group: 2.3.7.11.13<br />
| |
| Commas: 78/77, 99/98, 144/143<br />
| |
| Sval name: 9&amp;17<br />
| |
| <br />
| |
| POTE generator: ~13/12 = 139.990<br />
| |
| <br />
| |
| Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]<br />
| |
| EDOs: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo">43</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo">60c</a><br />
| |
| Error: 6.361<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8">bleu8</a> - Eight note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu9">bleu9</a> - Nine note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu17">bleu17</a> - Seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:79:&lt;h1&gt; --><h1 id="toc39"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:79 -->Mohaha</h1>
| |
| Subgroup: 2.3.5.11<br />
| |
| Commas: 81/80, 121/120<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/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: 24, 31, 69d, 100d, 131bd<br />
| |
| Error: 6.733 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10">Ten note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:81:&lt;h2&gt; --><h2 id="toc40"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:81 -->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: 17c, 24, 31, 55, 86de, 141cde<br />
| |
| Error: 9.556 cents<br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:83:&lt;h1&gt; --><h1 id="toc41"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:83 -->Tutone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 81/80, 99/98, 126/125<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/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: 25, 31, 68b, 99b<br />
| |
| Error: 7.047 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:85:&lt;h1&gt; --><h1 id="toc42"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:85 -->Leantone</h1>
| |
| Subgroup: 2.9.5.7.11<br />
| |
| Commas: 45/44, 56/55, 81/80<br />
| |
| Related temperament: <a class="wiki_link" href="/meanenneadecal">meanenneadecal</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="http://xenharmonic.wikispaces.com/leantone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:87:&lt;h1&gt; --><h1 id="toc43"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:87 -->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 />
| |
| <!-- ws:start:WikiTextLocalImageRule:174:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg" alt="score_20edo.jpg" title="score_20edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:174 --><br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score9">Nine note mega albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:89:&lt;h1&gt; --><h1 id="toc44"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:89 -->Supra</h1>
| |
| Subgroup: 2.3.7.11<br />
| |
| Commas: 64/63, 99/98<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth">suprapyth</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, 34c, 39c, 56c<br />
| |
| Error: 9.795 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7">Seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra12">Twelve note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:91:&lt;h2&gt; --><h2 id="toc45"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:91 -->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:93:&lt;h2&gt; --><h2 id="toc46"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:93 -->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="http://xenharmonic.wikispaces.com/machine5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine6">Six note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11">Eleven note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:95:&lt;h1&gt; --><h1 id="toc47"><a name="Antikythera"></a><!-- ws:end:WikiTextHeadingRule:95 -->Antikythera</h1>
| |
| Subgroup: 2.9.5.7<br />
| |
| Commas: 50/49, 64/63<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pajara">pajara</a><br />
| |
| <br />
| |
| POTE generator: ~8/7 = 214.095<br />
| |
| <br />
| |
| Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]<br />
| |
| EDOS: 4, 6, 10, 16, 22, 28<br />
| |
| Error: 11.508 cents<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera10">Ten note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera16">Sixteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:97:&lt;h1&gt; --><h1 id="toc48"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:97 -->Deutone</h1>
| |
| Subgroup: 2.9.5.7.13<br />
| |
| Commas: 65/64, 81/80, 91/90<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/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="http://xenharmonic.wikispaces.com/deutone6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone7">seven note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone13">Thirteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:99:&lt;h1&gt; --><h1 id="toc49"><a name="Semiphore"></a><!-- ws:end:WikiTextHeadingRule:99 -->Semiphore</h1>
| |
| Subgroup: 2.3.7<br />
| |
| Comma: 49/48<br />
| |
| <br />
| |
| POTE generator: ~7/6 = 250.385<br />
| |
| <br />
| |
| Map: [&lt;1 0 2|, &lt;0 2 1|]<br />
| |
| EDOs: 5, 9, 14, 19, 24<br />
| |
| Error: 12.428<br />
| |
| <br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5">Five note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore14">Fourteen note chromatic scale</a><br />
| |
| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:101:&lt;h1&gt; --><h1 id="toc50"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:101 -->Augment</h1>
| |
| Subgroup: 2.5.7.11<br />
| |
| Commas: 56/55, 128/125<br />
| |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/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="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment9">Nine note albitonic scale</a><br />
| |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a></body></html></pre></div>
| |