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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 12:31:24 UTC</tt>.<br>
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| : The original revision id was <tt>283334562</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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|
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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 |
|
| |
|
| 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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|
| =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
| |
| Sval name: 5&24
| |
| Related temperament: [[xenharmonic/The Archipelago|barabados]]
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|
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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]]
| |
| [[xenharmonic/cata19|Nineteen note mega chromatic scale]]
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|
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|
| =Tridec=
| | [[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]] |
| Subgroup: 2.7/5.11/5.13/5
| |
| Commas: 847/845, 1001/1000
| |
| Sval name: 5&8
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|
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|
| POTE generator: ~13/10 = 454.461
| | Scales: |
| | * [[Marveltwintri7]] – 7-tone albitonic scale |
| | * [[Marveltwintri11]] – 11-tone chromatic scale |
| | * [[Marveltwintri15]] – 15-tone mega-chromatic scale |
|
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|
| Map: [<1 2 0 1|, <0 -4 3 1|]
| | == Cata == |
| EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c
| | {{Main| Kleismic }} |
| Error: 1.057
| | {{See also| Kleismic family #Cata }} |
|
| |
|
| [[xenharmonic/Tridec8|Eight note albitonic scale]] | | [[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]] |
| [[xenharmonic/Tridec13|Thirteen note chromatic scale]]
| |
|
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|
| =Pepperoni=
| | Scales: |
| Subgroup: 2.3.11/7.13/7
| | * [[Cata7]] – 7-tone albitonic scale |
| Commas: 352/351, 364/363
| | * [[Cata11]] – 11-tone mega-albitonic scale |
| Sval name: 5&12
| | * [[Cata15]] – 15-tone chromatic scale |
| 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.
| | * [[Cata19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 704.052
| | == Bridgetown == |
| | {{See also| Subgroup temperaments #Bridgetown }} |
|
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|
| Map: [<1 0 7 12|, <0 1 -4 -7|]
| | [[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]] |
| EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
| |
| Error: 1.298 cents
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|
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|
| [[xenharmonic/pepperoni7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/pepperoni12|Twelve note chromatic scale]] | | * [[Bridgetown9]] – 9-tone albitonic scale |
| | * [[Bridgetown14]] – 14-tone chromatic scale |
|
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|
| =Slendric=
| | ; Music |
| Subgroup: 2.3.7
| | * [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]] |
| Comma: 1029/1024
| | * ''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&21
| |
|
| |
|
| POTE generator: ~8/7 = 233.688
| | == Haumea == |
| | {{See also| Subgroup temperaments #Haumea }} |
|
| |
|
| Map: [<1 1 3|, <0 3 -1|]
| | Scales: |
| EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
| | * [[Haumea5]] – 5-tone haplotonic scale |
| Error: 1.109 cents
| | * [[Haumea9]] – 9-tone albitonic scale |
| | * [[Haumea14]] – 14-tone chromatic scale |
| | * [[Haumea19]] – 19-tone mega-chromatic scale |
|
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|
| [[image:xenharmonic/slendric_190edo.jpg]]
| | == Neutral == |
| | {{See also| Rastmic clan #Neutral }} |
|
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|
| [[xenharmonic/slendric5|Five note haplotonic scale]] | | [[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]] |
| [[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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|
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| ==Music==
| | Scales: |
| [[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]] | | * [[Neutral7]] – 7-tone albitonic scale |
| [[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]] | | * [[Neutral10]] – 10-tone chromatic scale |
| by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
| | * [[Neutral17]] – 17-tone mega-chromatic scale |
|
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|
| =Nestoria=
| | ; Music |
| Subgroup: 2.3.5.19
| | * [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning |
| Commas: 361/360, 513/512
| |
| Sval name: 12&29
| |
| Related temperament: [[xenharmonic/Schismatic family|schismatic]]
| |
|
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|
| POTE generator: ~3/2 = 701.746
| | == Slendric == |
| | {{Main| Slendric }} |
| | :''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]'' |
|
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|
| Map: [<1 0 15 9|, <0 1 -8 -3|]
| | [[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]] |
| EDOs: 7, 12, 17, 29, 41, 53, 118, 171
| |
| Error: 1.819 cents
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| [[xenharmonic/nestoria7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/nestoria12|Twelve note chromatic scale]] | | * [[Slendric5]] – 5-tone haplotonic scale |
| | * [[Slendric6]] – 6-tone haplotonic scale |
| | * [[Slendric11]] – 11-tone albitonic scale |
| | * [[Slendric16]] – 16-tone chromatic scale |
|
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| =Marveltri= | | == Huntington == |
| Subgroup: 2.5.9/7
| | {{See also| No-threes subgroup temperaments #Huntington }} |
| Comma: 225/224
| |
| Sval name: 3&13
| |
| Related temperaments: marvel, 22&47, magic
| |
|
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|
| POTE generator: ~5/4 = 382.618
| | [[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]] |
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|
| Map: [<1 0 5|, <0 1 -2|]
| | Scales: |
| EDOs: 12, 13, 16, 19, 22, 47, 69
| | * [[Huntington7]] – 7-tone haplotonic scale |
| Error: 2.043 cents
| | * [[Huntington10]] – 10-tone albitonic scale |
| | * [[Huntington17]] – 17-tone chromatic scale |
|
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| =Photia= | | == Tobago == |
| Subgroup: 2.3.5.17.19 | | {{See also| Subgroup temperaments #Tobago }} |
| 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: |
| | * [[Tobago6]] – 6-tone haplotonic scale |
| | * [[Tobago10]] – 10-tone albitonic scale |
| | * [[Tobago14]] – 14-tone chromatic scale |
| | * [[Tobago24]] – 24-tone quatertone scale |
|
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|
| Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]
| | == Pepperoni == |
| EDOs: 7, 12, 17, 29, 41, 53, 65
| | {{See also| Parapyth }} |
| Error: 3.457 cents
| | {{See also| Subgroup temperaments #Pepperoni }} |
|
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|
| [[xenharmonic/photia7|Seven note albitonic scale]] | | [[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]] |
| [[xenharmonic/photia12|Twelve note chromatic scale]]
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|
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|
| =Huntington=
| | Scales: |
| Subgroup: 2.5.7.13
| | * [[Pepperoni7]] – 7-tone albitonic scale |
| Commas: 640/637, 10985/10976
| | * [[Pepperoni12]] – 12-tone chromatic scale |
| Sval name: 10&27
| |
|
| |
|
| POTE generator: ~16/13 = 357.002
| | == Wizz == |
| | {{See also| No-threes subgroup temperaments #Wizz }} |
|
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|
| Map: [<1 5 4 4|, <0 -9 -4 -1|]
| | Scales: |
| EDOs: 7, 10, 17, 27, 37, 84, 121, 400
| | * [[Wizz6]] – 6-tone haplotonic scale |
| Error: 2.1001 cents
| | * [[Wizz10]] – 10-tone albitonic scale |
| | * [[Wizz16]] – 16-tone chromatic scale |
|
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|
| [[image:huntington_400edo.jpg]]
| | == Bossier == |
| | {{See also| No-threes subgroup temperaments #Bossier }} |
|
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|
| [[xenharmonic/huntington7|Seven note haplotonic scale]] | | [[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]] |
| [[xenharmonic/huntington10|Ten note albitonic scale]]
| |
| [[xenharmonic/huntington17|Seventeen note chromatic scale]]
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|
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|
| =Shoe=
| | Scales: |
| Subgroup: 2.5.7.11.13
| | * [[Bossier8]] – 8-tone albitonic scale |
| Commas: 176/175, 640/637, 847/845
| | * [[Bossier11]] – 11-tone chromatic scale |
| Sval name: 16&21
| | * [[Bossier14]] – 14-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~8/7 = 227.108
| | == Penta a.k.a. mechanism == |
| | {{See also| Subgroup temperaments #Penta a.k.a. mechanism }} |
|
| |
|
| Map: [<1 1 3 1 2|, <0 7 -1 13 9|]
| | Scales: |
| EDOs: 16, 21, 37
| | * [[Penta5]] – 5-tone haplotonic scale |
| Error: 2.488
| | * [[Penta8]] – 8-tone albitonic scale |
| | * [[Penta11]] – 11-tone chromatic scale |
| | * [[Penta19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[image:xenharmonic/shoe_37edo.jpg]]
| | == Bluebirds == |
| | {{See also| No-threes subgroup temperaments #Bluebirds }} |
|
| |
|
| [[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
| | Scales: |
| [[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] | | * [[Bluebirds6]] – 6-tone haplotonic scale |
| [[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]] | | * [[Bluebirds7]] – 7-tone albitonic scale |
| [[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]] | | * [[Bluebirds13]] – 13-tone chromatic scale |
|
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|
| =Roulette= | | == Marveltri == |
| Subgroup: 2.5.7.11.13 | | {{See also| Subgroup temperaments #Marveltri }} |
| Commas: 176/175, 1375/1372, 640/637
| |
| Sval name: 6&25
| |
| Related temperament: [[xenharmonic/Wuerschmidt family|Hemiwuerschmidt]]
| |
|
| |
|
| POTE generator: ~28/25 = 194.594
| | Scales: |
| | * [[Marveltri7]] – 7-tone albitonic scale |
| | * [[Marveltri10]] – 10-tone chromatic scale |
| | * [[Marveltri13]] – 13-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]
| | == Edson == |
| EDOs: 6, 7, 13, 19, 25, 31, 37
| | {{See also| Subgroup temperaments #Edson }} |
| Error: 2.555 cents
| |
|
| |
|
| [[image:xenharmonic/roulette_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/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
| | == Photia == |
| [[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]]
| | {{See also| Schismatic family #Photia (2.3.5.17) }} |
| [[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
| [[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]
| |
|
| |
|
| =Garibaldi=
| | [[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]] |
| Group: 2.3.5.7
| |
| Commas: 225/224, 3125/3087
| |
| Val name: 12&29
| |
|
| |
|
| POTE generator: ~3/2 = 702.085
| | Scales: |
| | * [[Photia7]] – 7-tone albitonic scale |
| | * [[Photia12]] – 12-tone chromatic scale |
|
| |
|
| Map: [<1 0 15 25|, <0 1 -8 -14|]
| | == Shoe a.k.a. llywelyn == |
| EDOs: 7, 12, 17, 29, 41, 53, 94
| | {{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }} |
| Error: 2.834
| |
|
| |
|
| [[xenharmonic/garibaldi12|Twelve note albitonic scale]] | | [[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]] |
| [[xenharmonic/garibaldi17|Seventeen note chromatic scale]]
| |
|
| |
|
| =Baldy=
| | Scales: |
| Subgroup: 2.9.5.7.13
| | * [[Shoe5]] – 5-tone mini-haplotonic scale |
| Commas: 225/224, 325/324, 640/637
| | * [[Shoe6]] – 6-tone haplotonic scale |
| Sval name: 6&35
| | * [[Shoe11]] – 11-tone albitonic scale |
| Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]
| | * [[Shoe16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 204.090
| | == Roulette == |
| | {{See also | Hemimean clan #Roulette }} |
|
| |
|
| Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|]
| | [[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]] |
| EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]]
| |
| Error: 2.617 cents
| |
|
| |
|
| [[image:baldy_147edo.jpg]] | | Scales: |
| | * [[Roulette6]] – 6-tone haplotonic scale |
| | * [[Roulette7]] – 7-tone albitonic scale |
| | * [[Roulette13]] – 13-tone chromatic scale |
| | * [[Roulette19]] – 19-tone mega-chromatic scale |
|
| |
|
| [[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
| | == Silver == |
| [[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
| | {{See also | No-threes subgroup temperaments #Silver }} |
| [[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Bossier=
| | [[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]] |
| Subgroup: 2.7.11.13
| |
| Commas: 1573/1569, 15488/15379
| |
| Sval name: 3&17
| |
|
| |
|
| POTE generator: ~14/11 = 421.309
| | Scales: |
| | * [[Silver7]] – 7-tone haplotonic scale |
| | * [[Silver10]] – 10-tone albitonic scale |
| | * [[Silver17]] – 17-tone chromatic scale |
|
| |
|
| Map: [<1 0 1 3|, <0 8 7 2|]
| | == Baldy == |
| EDOs: 17, 20, 37, 57, 94, 225
| | {{See also| Subgroup temperaments #Baldy }} |
| Error: 2.665 cents
| |
|
| |
|
| [[image:bossier_225edo.jpg]] | | [[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]] |
|
| |
|
| [[xenharmonic/bossier8|Eight note albitonic scale]] | | Scales |
| [[xenharmonic/bossier11|Eleven note chromatic scale]] | | * [[Baldy6]] – 6-tone haplotonic scale |
| [[xenharmonic/bossier14|Fourteen note mega chromatic scale]] | | * [[Baldy11]] – 11-tone albitonic scale |
| | * [[Baldy17]] – 17-tone chromatic scale |
|
| |
|
| =Radon=
| |
| Subgroup: 2.3.7.11
| |
| Commas: 896/891, 1029/1024
| |
| Sval name: 5&36
| |
| Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]
| |
|
| |
|
| POTE generator: ~8/7 = 234.381
| | == Guanyintet == |
| | {{See also | Subgroup temperaments #Guanyintet }} |
|
| |
|
| Map: [<1 1 3 6|, <0 3 -1 -13|]
| | Scales: |
| EDOs: 5, 36, 41, 87, 128
| | * [[Guanyintet5]] – 5-tone haplotonic scale |
| Error: 2.925 cents
| | * [[Guanyintet9]] – 9-tone albitonic scale |
| | * [[Guanyintet13]] – 13-tone chromatic scale |
|
| |
|
| [[image:radon_128edo.jpg]]
| | == Radon == |
| | {{See also| Gamelismic clan #Radon }} |
|
| |
|
| [[xenharmonic/radon5|Five note haplotonic scale]] | | [[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]] |
| [[xenharmonic/radon11|Eleven note albitonic scale]]
| |
| [[xenharmonic/radon16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Myna=
| | * [[Radon5]] – 5-tone haplotonic scale |
| Group: 2.3.5.7
| | * [[Radon11]] – 11-tone albitonic scale |
| Commas: 126/125, 1728/1715
| | * [[Radon16]] – 16-tone chromatic scale |
| Val name: 4&27
| |
|
| |
|
| POTE generator: ~6/5 = 310.146
| | == Gariberttet == |
| | {{See also | Subgroup temperaments #Gariberttet }} |
|
| |
|
| Map: [<1 9 9 8|, <0 -10 -9 -7|]
| | Scales: |
| EDOs: 4, 27, 31, 58, 89
| | * [[Gariberttet5]] – 5-tone haplotonic scale |
| Error: 3.310 cents
| | * [[Gariberttet9]] – 9-tone albitonic scale |
| | * [[Gariberttet13]] – 13-tone chromatic scale |
|
| |
|
| [[image:myna_89edo.jpg]]
| | == Namo == |
| | {{See also| Rastmic clan #Namo }} |
|
| |
|
| [[xenharmonic/myna7|Seven note haplotonic scale]] | | Scales: |
| [[xenharmonic/myna11|Eleven note albitonic scale]] | | * [[Namo7]] – 7-tone haplotonic scale |
| [[xenharmonic/myna15|Fifteen note chromatic scale]] | | * [[Namo10]] – 10-tone albitonic scale |
| | * [[Namo17]] – 17-tone chromatic scale |
|
| |
|
| =Silver= | | == Sentry == |
| Subgroup: 2.5.7.13.17 | | {{See also | Subgroup temperaments #Sentry }} |
| Commas: 170/169, 640/637, 5525/5488
| |
| Sval name: 10&27
| |
|
| |
|
| POTE generator: ~13/8 = 842.711
| | Scales: |
| | * [[Sentry5]] – 5-tone haplotonic scale |
| | * [[Sentry8]] – 8-tone albitonic scale |
| | * [[Sentry11]] – 11-tone chromatic scale |
|
| |
|
| Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]
| | == Hemif == |
| EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|487]]
| | {{See also| No-fives subgroup temperaments #Hemif }} |
| Error: 3.437
| |
|
| |
|
| [[image:silver_487edo.jpg]] | | [[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]] |
|
| |
|
| [[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]] | | Scales: |
| [[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]] | | * [[Hemif7]] – 7-tone haplotonic scale |
| [[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]] | | * [[Hemif10]] – 10-tone albitonic scale |
| | * [[Hemif17]] – 17-tone chromatic scale |
|
| |
|
| =Mabila= | | == Garibaldi == |
| Subgroup: 2.5.7
| | {{Main| Garibaldi temperament }} |
| Comma: 1071875/1048576
| | {{See also| Schismatic family #Garibaldi }} |
| Sval name: 7&9
| |
|
| |
|
| POTE generator: ~175/128 = 527.236
| | [[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]] |
|
| |
|
| Map: [<1 1 5|, <0 3 -5|]
| | Scales: |
| EDOs: 7, 9, 16, 25, 41, 66
| | * [[Garibaldi12]] – 12-tone albitonic scale |
| Error: 3.560
| | * [[Garibaldi17]] – 17-tone chromatic scale |
|
| |
|
| [[image:mabila_66edo.jpg]]
| | == Mabilic == |
| | {{See also| No-threes subgroup temperaments #Mabilic }} |
|
| |
|
| [[xenharmonic/mabila7|Seven note haplotonic scale]] | | [[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]] |
| [[xenharmonic/mabila9|Nine note albitonic scale]]
| |
| [[xenharmonic/mabila16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Meantone=
| | Scales: |
| Group: 2.3.5.7
| | * [[Mabilic7]] – 7-tone haplotonic scale |
| Commas: 81/80, 126/125
| | * [[Mabilic9]] – 9-tone albitonic scale |
| Val name: 12&19
| | * [[Mabilic16]] – 16-tone chromatic scale |
|
| |
|
| POTE generator: 696.495
| | == Indium == |
| | {{See also | Subgroup temperaments #Indium }} |
|
| |
|
| Map: [<1 0 -4 -13|, <0 1 4 10|]
| | [[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]] |
| EDOs: 5, 7, 12, 19, 31, 81, 112, 143
| |
| Error: 3.585
| |
|
| |
|
| [[image:meantone_31edo.jpg]] | | Scales: |
| | * [[Indium8]] – 8-tone albitonic scale |
| | * [[Indium17]] – 17-tone chromatic scale |
|
| |
|
| [[xenharmonic/meantone5|Five note haplotonic scale]] | | ; Music |
| [[xenharmonic/meantone7|Seven 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/meantone12|Twelve note chromatic scale]] | |
|
| |
|
| =Indium= | | == Starlingtet == |
| Subgroup: 2.5/3.7/3.11/3 | | {{See also | Subgroup temperaments #Starlingtet }} |
| Commas: 3025/3024, 3125/3087
| |
| Sval name: 8&33
| |
|
| |
|
| POTE generator: ~12/11 = 147.159
| | Scales: |
| | * [[Starlingtet4]] – 4-tone haplotonic scale |
| | * [[Starlingtet7]] – 7-tone albitonic scale |
| | * [[Starlingtet11]] – 11-tone chromatic scale |
|
| |
|
| Map: [<1 0 0 2|, <0 6 10 -1|]
| | == Lovecraft == |
| EDOs: 33, 41, 49, 57, 106, 204, 253
| | {{See also | No-threes subgroup temperaments #Lovecraft }} |
| Error: 3.968 cents
| |
|
| |
|
| [[xenharmonic/indium8|Eight note albitonic scale]] | | [[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]] |
| [[xenharmonic/indium17|Seventeen note chromatic scale]]
| |
|
| |
|
| Music
| | Scales: |
| [[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]] | | * [[Lovecraft5]] – 5-tone haplotonic scale |
| | * [[Lovecraft9]] – 9-tone albitonic scale |
| | * [[Lovecraft13]] – 13-tone chromatic scale |
|
| |
|
| =Magic= | | == Blackbirds == |
| Group: 2.3.5.7.11
| | {{See also | No-threes subgroup temperaments #Blackbirds }} |
| Commas: 100/99, 225/224, 245/243
| |
| Val name: 19&22
| |
|
| |
|
| POTE generator: ~5/4 = 380.696
| | Scales: |
| | * [[Blackbirds8]] – 8-tone albitonic scale |
| | * [[Blackbirds12]] – 12-tone chromatic scale |
| | * [[Blackbirds16]] – 16-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]
| | == Laz == |
| EDOs: 19, 22, 41, 104, 145
| | {{See also | Subgroup temperaments #Laz }} |
| Error: 4.489
| |
|
| |
|
| [[image:xenharmonic/magic_145edo.jpg]] | | Scales: |
| | * [[Laz5]] – 5-tone haplotonic scale |
| | * [[Laz9]] – 9-tone albitonic scale |
| | * [[Laz13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/magic7|Seven note haplotonic scale]]
| | == Myna == |
| [[xenharmonic/magic10|Ten note albitonic scale]]
| | {{Main| Myna }} |
| [[xenharmonic/magic13|Thirteen note chromatic scale]]
| | {{See also| Starling temperaments #Myna }} |
| [[xenharmonic/magic16|Sixteen note mega chromatic scale]]
| |
|
| |
|
| =Hemif=
| | [[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]] |
| Subgroup: 2.3.7.11.13
| |
| Commas: 144/143, 243/242, 364/363
| |
| Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]
| |
|
| |
|
| POTE generator: ~11/9 = 351.691
| | Scales: |
| | * [[Myna7]] – 7-tone haplotonic scale |
| | * [[Myna11]] – 11-tone albitonic scale |
| | * [[Myna15]] – 15-tone chromatic scale |
|
| |
|
| Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
| | == Greeley == |
| EDOs: 7, 10, 17, 24, 41, 58
| | {{See also| Subgroup temperaments #Greeley }} |
| Error: 4.867 cents
| |
|
| |
|
| [[image:hemif_58edo.jpg]] | | [[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]] |
|
| |
|
| [[xenharmonic/hemif7|Seven note haplotonic scale]] | | Scales: |
| [[xenharmonic/hemif10|Ten note albitonic scale]] | | * [[Greeley8]] – 8-tone albitonic scale |
| [[xenharmonic/hemif17|Seventeen note chromatic scale]]
| | * [[Greeley15]] – 15-tone chromatic scale |
|
| |
|
| =Skwares=
| | ; Music |
| Subgroup: 2.3.7.11
| | * ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15] |
| Commas: 99/98, 243/242
| |
| Related temperament: [[xenharmonic/Meantone family|squares]]
| |
|
| |
|
| POTE generator: ~9/7 = 425.244
| | == Ammon == |
| | {{See also| Subgroup temperaments #Ammon }} |
|
| |
|
| Map: [<1 3 6 7|, <0 -4 -9 -10|]
| | [[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]] |
| EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
| |
| Error: 4.942 cents
| |
|
| |
|
| [[xenharmonic/skwares8|Eight note albitonic scale]] | | Scales: |
| [[xenharmonic/skwares11|Eleven note mega albitonic scale]] | | * [[Ammon8]] – 8-tone albitonic scale |
| [[xenharmonic/skwares14|Fourteen note chromatic scale]]
| | * [[Ammon13]] – 13-tone chromatic scale |
|
| |
|
| =Sensi= | | == Mothwelltri == |
| Group: 2.3.5.7
| | {{See also| Subgroup temperaments #Mothwelltri }} |
| Commas: 126/126, 245/243
| |
| Val name: 19&27
| |
|
| |
|
| POTE generator: ~9/7 = 443.383
| | Scales: |
| | * [[Mothwelltri5]] – 5-tone haplotonic scale |
| | * [[Mothwelltri9]] – 9-tone albitonic scale |
| | * [[Mothwelltri13]] – 13-tone chromatic scale |
|
| |
|
| Map: [<1 6 8 11|, <0 -7 -9 -13|]
| | == Sulis == |
| EDOs: 5, 8, 11, 19, 27, 46
| | {{See also| Subgroup temperaments #Sulis }} |
| Error: 5.019
| |
|
| |
|
| [[image:xenharmonic/sensi_46edo.jpg]] | | Scales: |
| | * [[Sulis7]] – 7-tone haplotonic scale |
| | * [[Sulis10]] – 10-tone albitonic scale |
| | * [[Sulis13]] – 13-tone chromatic scale |
|
| |
|
| [[xenharmonic/sensi5|Five note haplotonic scale]]
| | == Skwares == |
| [[xenharmonic/sensi8|Eight note albitonic scale]]
| | {{Main| Squares }} |
| [[xenharmonic/sensi11|Eleven note mega albitonic scale]]
| | {{See also| No-fives subgroup temperaments #Skwares }} |
| [[xenharmonic/sensi19|Nineteen note chromatic scale]]
| |
|
| |
|
| =Greeley=
| | [[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]] |
| Subgroup: 2.5/3.7/3.11/3
| |
| Commas: 121/120, 126/125
| |
|
| |
|
| POTE generator: ~11/10 = 156.055
| | Scales: |
| | * [[Skwares8]] – 8-tone albitonic scale |
| | * [[Skwares11]] – 11-tone mega-albitonic scale |
| | * [[Skwares14]] – 14-tone chromatic scale |
|
| |
|
| Map: [<1 1 2 2|, <0 -2 -6 -1|]
| | == Orwell == |
| EDOs: 8, 15, 23, 77, 100
| | {{Main| Orwell }} |
| Error: 5.404 cents
| | {{See also| Semicomma family #Orwell }} |
|
| |
|
| [[xenharmonic/greeley8|Eight note albitonic scale]] | | [[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]] |
| [[xenharmonic/greeley15|Fifteen note chromatic scale]]
| |
|
| |
|
| ==Music==
| | Scales: |
| [[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 | | * [[Orwell5]] – 5-tone haplotonic scale |
| | * [[Orwell9]] – 9-tone albitonic scale |
| | * [[Orwell13]] – 13-tone chromatic scale |
|
| |
|
| =Semidim= | | == Magicaltet == |
| Subgroup: 2.5/3.7/3.11/3.13/3 | | {{See also| Subgroup temperaments #Magicaltet }} |
| Commas: 121/120, 169/168, 275/273
| |
| Sval name: 8&29
| |
|
| |
|
| POTE generator: ~13/10 = 453.190
| | Scales: |
| | * [[Magicaltet7]] – 7-tone albitonic scale |
| | * [[Magicaltet11]] – 11-tone chromatic scale |
| | * [[Magicaltet15]] – 15-tone mega-chromatic scale |
|
| |
|
| Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]
| | == Magic == |
| EDOs: 5, 8, 13, 21, 29, 37, 45
| | {{Main| Magic }} |
| Error: 5.433 cents
| | {{See also| Magic family #Magic }} |
|
| |
|
| [[xenharmonic/semidim8|Eight note albitonic scale]] | | [[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]] |
| [[xenharmonic/semidim13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Orwell=
| | Scales: |
| Group: 2.3.5.7.11
| | * [[Magic7]] – 7-tone haplotonic scale |
| Commas: 99/98, 121/120, 176/175
| | * [[Magic10]] – 10-tone albitonic scale |
| Val name: 9&22
| | * [[Magic13]] – 13-tone chromatic scale |
| | * [[Magic16]] – 16-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~7/6 = 271.426
| | == Kiribati == |
| | {{See also| Subgroup temperaments #Kiribati }} |
|
| |
|
| Map: [<1 0 3 1 3|, <0 7 -3 8 2|]
| | Scales: |
| EDOs: 9, 22, 31, 53, 84
| | * [[Kiribati13]] – 13-tone chromatic scale |
| Error: 5.584
| | * [[Kiribati14]] – 14-tone chromatic scale |
|
| |
|
| [[image:xenharmonic/orwell_84edo.png]]
| | == Score == |
| | {{See also|No-threes subgroup temperaments #Score }} |
|
| |
|
| [[xenharmonic/orwell5|Five note haplotonic scale]] | | [[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]] |
| [[xenharmonic/orwell9|Nine note albitonic scale]]
| |
| [[xenharmonic/orwell13|Thirteen note chromatic scale]]
| |
|
| |
|
| =Lovecraft=
| | Scales: |
| Group: 2.11.13
| | * [[Score5]] – 5-tone haplotonic scale |
| | * [[Score7]] – 7-tone albitonic scale |
| | * [[Score9]] – 9-tone mega-albitonic scale |
| | * [[Score11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~13/11 = 279.318
| | == Sensi == |
| | {{Main| Sensi }} |
| | {{See also| Sensipent family #Sensi }} |
|
| |
|
| Map: [<1 1 0|, <0 2 3|]
| | [[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]] |
| EDOS: 13, 30, 43, 73, 116b
| |
| Error: 6.026
| |
|
| |
|
| [[xenharmonic/lovecraft5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/lovecraft9|Nine note albitonic scale]] | | * [[Sensi5]] – 5-tone haplotonic scale |
| [[xenharmonic/lovecraft13|Thirteen note chromatic scale]] | | * [[Sensi8]] – 8-tone albitonic scale |
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| =Bleu= | | === Sensation === |
| Group: 2.3.7.11.13
| | {{Main| Sensi }} |
| Commas: 78/77, 99/98, 144/143
| | {{See also| Sensipent family #Sensi }} |
| Sval name: 9&17
| |
|
| |
|
| POTE generator: ~13/12 = 139.990
| | Scales: |
| | * [[Sensi5]] – 5-tone haplotonic scale |
| | * [[Sensi8]] – 8-tone albitonic scale |
| | * [[Sensi11]] – 11-tone mega-albitonic scale |
| | * [[Sensi19]] – 19-tone chromatic scale |
|
| |
|
| Map: [<1 1 2 3 3|, <0 5 7 4 6|]
| | == Meantone == |
| EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
| | {{Main| Meantone }} |
| Error: 6.361
| | {{See also| Meantone family #Meantone }} |
|
| |
|
| [[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]] | | [[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]] |
| [[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
| |
| [[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
| |
|
| |
|
| =Mohaha=
| | Scales: |
| Subgroup: 2.3.5.11
| | * [[Meantone5]] – 5-tone haplotonic scale |
| Commas: 81/80, 121/120
| | * [[Meantone7]] – 7-tone albitonic scale |
| Related temperament: [[xenharmonic/Meantone family|mohajira]]
| | * [[Meantone12]] – 12-tone chromatic scale |
|
| |
|
| POTE generator: ~11/9 = 348.094
| | == Mohaha == |
| | {{See also| Rastmic clan #Mohaha }} |
|
| |
|
| Map: [<1 1 0 2|, <0 2 8 5|]
| | [[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]] |
| EDOs: 24, 31, 69d, 100d, 131bd
| |
| Error: 6.733 cents
| |
|
| |
|
| [[xenharmonic/mohaha7|Seven note albitonic scale]] | | Scales: |
| [[xenharmonic/mohaha10|Ten note chromatic scale]] | | * [[Mohaha7]] – 7-tone albitonic scale |
| | * [[Mohaha10]] – 10-tone chromatic scale |
|
| |
|
| ==Mohoho==
| | Music: |
| Subgroup: 2.3.5.11.13
| | ; [[Billy Stiltner]] |
| Commas: 66/65, 81/80, 121/120
| | * [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}} |
|
| |
|
| POTE generator: ~11/9 = 348.916
| | === Mohoho === |
| | {{See also| Rastmic clan #Mohoho }} |
|
| |
|
| Map: [<1 1 0 2 4|, <0 2 8 5 -1|]
| | == Joan == |
| EDOs: 17c, 24, 31, 55, 86de, 141cde
| | {{See also| Subgroup temperaments #Joan }} |
| Error: 9.556 cents
| |
|
| |
|
| =Tutone=
| | Scales: |
| Subgroup: 2.9.5.7.11
| | * [[Joan5]] – 5-tone haplotonic scale |
| Commas: 81/80, 99/98, 126/125
| | * [[Joan7]] – 7-tone albitonic scale |
| Related temperament: [[xenharmonic/Meantone family|meantone]]
| | * [[Joan9]] – 9-tone mega-albitonic scale |
| | * [[Joan11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 193.937
| | == Tutone == |
| | {{See also| Hemimean clan #Tutone }} |
|
| |
|
| Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]
| | [[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]] |
| EDOs: 25, 31, 68b, 99b
| |
| Error: 7.047 cents
| |
|
| |
|
| [[xenharmonic/tutone6|Six note haplotonic scale]] | | Scales: |
| [[xenharmonic/tutone7|Seven note albitonic scale]] | | * [[Tutone6]] – 6-tone haplotonic scale |
| [[xenharmonic/tutone13|Thirteen note chromatic scale]] | | * [[Tutone7]] – 7-tone albitonic scale |
| | * [[Tutone13]] – 13-tone chromatic scale |
|
| |
|
| =Leantone= | | == Stacks == |
| Subgroup: 2.9.5.7.11 | | {{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }} |
| Commas: 45/44, 56/55, 81/80
| |
| Related temperament: [[meanenneadecal]]
| |
|
| |
|
| POTE generator: ~9/8 = 192.500
| | Scales: |
| | * [[Stacks5]] – 5-tone haplotonic scale |
| | * [[Stacks8]] – 8-tone albitonic scale |
| | * [[Stacks11]] – 11-tone chromatic scale |
| | * [[Stacks19]] – 19-tone mega-chromatic scale |
|
| |
|
| Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]
| | == Bleu == |
| EDOs: 6, 7, 13, 19, 25, 31, 56, 81
| | {{See also| No-fives subgroup temperaments #Bleu }} |
| Error: 20.338 cents
| |
|
| |
|
| [[xenharmonic/leantone6|Six note haplotonic scale]] | | Scales: |
| [[xenharmonic/leantone7|Seven note albitonic scale]] | | * [[Bleu8]] – 8-tone haplotonic scale |
| [[xenharmonic/leantone13|Thirteen note chromatic scale]] | | * [[Bleu9]] – 9-tone albitonic scale |
| | * [[Bleu17]] – 17-tone chromatic scale |
|
| |
|
| =Score= | | == Sephiroth == |
| Subgroup: 2.7.11.13
| | {{See also| No-threes subgroup temperaments #Sephiroth }} |
| Commas: 343/338, 847/832
| |
|
| |
|
| POTE generator: ~11/8 = 540.099
| | Scales: |
| | * [[Sephiroth7]] – 7-tone haplotonic scale |
| | * [[Sephiroth10]] – 10-tone albitonic scale |
| | * [[Sephiroth13]] – 13-tone chromatic scale |
| | * [[Sephiroth16]] – 16-tone mega-chromatic scale |
|
| |
|
| Map: [<1 1 3 1|, <0 4 1 6|]
| | == Archy == |
| EDOs: 5, 7, 9, 11, 20
| | {{Main| Superpyth }} |
| Error: 8.052 cents
| | {{See also| Archytas clan #Archy }} |
|
| |
|
| [[image:xenharmonic/score_20edo.jpg]] | | Scales: |
| | * [[Archy5]] – 5-tone haplotonic scale |
| | * [[Archy7]] – 7-tone albitonic scale |
| | * [[Archy12]] – 12-tone chromatic scale |
|
| |
|
| [[xenharmonic/score5|Five note haplotonic scale]]
| | === Supra === |
| [[xenharmonic/score7|Seven note albitonic scale]]
| | {{Main| Superpyth }} |
| [[xenharmonic/score9|Nine note mega albitonic scale]]
| | {{See also| Archytas clan #Supra }} |
| [[xenharmonic/score11|Eleven note chromatic scale]]
| |
|
| |
|
| =Supra=
| | [[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]] |
| Subgroup: 2.3.7.11
| |
| Commas: 64/63, 99/98
| |
| Related temperament: [[xenharmonic/suprapyth|suprapyth]]
| |
|
| |
|
| POTE generator: ~3/2 = 707.192
| | Scales: |
| | * [[Supra7]] – 7-tone [[albitonic scale]] |
| | * [[Supra12]] – 12-tone [[chromatic scale]] |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -2 -6|]
| | === Supraphon === |
| EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
| | {{Main| Superpyth }} |
| Error: 9.795 cents
| | {{See also| Archytas clan #Supraphon }} |
|
| |
|
| [[xenharmonic/supra7|Seven note albitonic scale]]
| | == Suhajira == |
| [[xenharmonic/supra12|Twelve note chromatic scale]]
| | {{See also| Archytas clan #Suhajira }} |
|
| |
|
| ==Supraphon==
| | Scales: |
| Subgroup: 2.3.7.11.13
| | * [[Suhajira7]] – 7-tone haplotonic scale |
| Commas: 64/63, 78/77, 99/98
| | * [[Suhajira10]] – 10-tone albitonic scale |
| | * [[Suhajira17]] – 17-tone chromatic scale |
|
| |
|
| POTE generator: ~3/2 = 706.137
| | == Machine == |
| | {{See also| Subgroup temperaments #Machine}} |
|
| |
|
| Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]
| | [[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]] |
| EDOs: 5, 7, 12, 17
| |
| Error: 10.534 cents
| |
|
| |
|
| ==Machine==
| | Scales: |
| Subgroup: 2.9.7.11
| | * [[Machine5]] – 5-tone haplotonic scale |
| Commas: 64/63, 99/98
| | * [[Machine6]] – 6-tone albitonic scale |
| | * [[Machine11]] – 11-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 214.384
| | == Deutone == |
| | {{See also| Hemimean clan #Deutone }} |
|
| |
|
| Map: [<1 0 6 13|, <0 1 -1 -3|]
| | [[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]] |
| EDOs: 5, 6, 11, 17, 28
| |
| Error: 10.100 cents
| |
|
| |
|
| [[xenharmonic/machine5|Five note haplotonic scale]] | | Scales: |
| [[xenharmonic/machine6|Six note albitonic scale]] | | * [[Deutone6]] – 6-tone haplotonic scale |
| [[xenharmonic/machine11|Eleven note chromatic scale]] | | * [[Deutone7]] – 7-tone albitonic scale |
| | * [[Deutone13]] – 13-tone chromatic scale |
|
| |
|
| =Antikythera= | | == Negra == |
| Subgroup: 2.9.5.7
| | {{Main| Negri }} |
| Commas: 50/49, 64/63
| | {{See also| Marvel temperaments #Negri }} |
| Related temperament: [[xenharmonic/pajara|pajara]]
| |
|
| |
|
| POTE generator: ~8/7 = 214.095
| | == Porkypine == |
| | {{Main| Porcupine }} |
| | {{See also| Porcupine family #Porcupine }} |
|
| |
|
| Map: [<2 0 11 12|, <0 1 -1 -1|]
| | Scales: |
| EDOS: 4, 6, 10, 16, 22, 28
| | * [[Porkypine7]] – 7-tone haplotonic scale |
| Error: 11.508 cents
| | * [[Porkypine8]] – 8-tone albitonic scale |
| | * [[Porkypine15]] – 15-tone chromatic scale |
|
| |
|
| [[xenharmonic/antikythera6|Six note haplotonic scale]]
| | == Skateboard == |
| [[xenharmonic/antikythera10|Ten note albitonic scale]]
| | {{See also| Subgroup temperaments #Skateboard }} |
| [[xenharmonic/antikythera16|Sixteen note chromatic scale]]
| |
|
| |
|
| =Deutone=
| | Scales: |
| Subgroup: 2.9.5.7.13
| | * [[Skateboard7]] – 7-tone haplotonic scale |
| Commas: 65/64, 81/80, 91/90
| | * [[Skateboard11]] – 11-tone albitonic scale |
| Related temperament: [[xenharmonic/Meantone family|meanpop]]
| | * [[Skateboard15]] – 15-tone chromatic scale |
|
| |
|
| POTE generator: ~9/8 = 191.059
| | == Augment == |
| | {{See also| No-threes subgroup temperaments #Augment }} |
|
| |
|
| Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]
| | [[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]] |
| EDOs: 6, 7, 13, 19, 25, 44, 69
| |
| Error: 12.145 cents
| |
|
| |
|
| [[xenharmonic/deutone6|Six note haplotonic scale]] | | Scales: |
| [[xenharmonic/deutone7|seven note albitonic scale]] | | * [[Augment6]] – 6-tone haplotonic scale |
| [[xenharmonic/deutone13|Thirteen note chromatic scale]] | | * [[Augment9]] – 9-tone albitonic scale |
| | * [[Augment12]] – 12-tone chromatic scale |
|
| |
|
| =Semiphore= | | == Semaphore == |
| Subgroup: 2.3.7
| | {{Main| Semaphore and godzilla }} |
| Comma: 49/48
| | {{See also| Semaphoresmic clan #Semaphore }} |
|
| |
|
| POTE generator: ~7/6 = 250.385
| | [[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]] |
|
| |
|
| Map: [<1 0 2|, <0 2 1|]
| | Scales: |
| EDOs: 5, 9, 14, 19, 24
| | * [[Semaphore5]] – 5-tone haplotonic scale |
| Error: 12.428
| | * [[Semaphore9]] – 9-tone albitonic scale |
| | * [[Semaphore14]] – 14-tone chromatic scale |
|
| |
|
| [[xenharmonic/semiphore5|Five note haplotonic scale]]
| | == Kryptonite == |
| [[xenharmonic/semiphore9|Nine note albitonic scale]]
| | {{See also| Subgroup temperaments #Kryptonite }} |
| [[xenharmonic/semiphore14|Fourteen note chromatic scale]]
| |
|
| |
|
| =Augment=
| | Scales: |
| Subgroup: 2.5.7.11
| | * [[Kryptonite9]] – 9-tone albitonic scale |
| Commas: 56/55, 128/125
| | * [[Kryptonite10]] – 10-tone albitonic scale |
| Related temperament: [[xenharmonic/Augmented family|augmented]]
| | * [[Kryptonite19]] – 19-tone mega-chromatic scale |
|
| |
|
| POTE generator: ~8/7 = 228.275
| | == Oregon == |
| | {{See also| Orgonia #Oregon }} |
|
| |
|
| Map: [<3 7 0 2|, <0 0 1 1|]
| | Scales: |
| EDOs: 3, 6, 9, 15, 21
| | * [[Oregon7]] – 7-tone haplotonic scale |
| Error: 12.830 cents
| | * [[Oregon11]] – 11-tone albitonic scale |
| | * [[Oregon15]] – 15-tone chromatic scale |
|
| |
|
| [[xenharmonic/augment6|Six note haplotonic scale]]
| | == Antikythera == |
| [[xenharmonic/augment9|Nine note albitonic scale]]
| | {{See also| Jubilismic clan #Antikythera }} |
| [[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div>
| | |
| <h4>Original HTML content:</h4>
| | [[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]] |
| <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:95:&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:95 --><!-- ws:start:WikiTextTocRule:96: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --><!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:106 --><!-- ws:start:WikiTextTocRule:107: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:107 --><!-- ws:start:WikiTextTocRule:108: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:108 --><!-- ws:start:WikiTextTocRule:109: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:109 --><!-- ws:start:WikiTextTocRule:110: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:110 --><!-- ws:start:WikiTextTocRule:111: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:111 --><!-- ws:start:WikiTextTocRule:112: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:112 --><!-- ws:start:WikiTextTocRule:113: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:113 --><!-- ws:start:WikiTextTocRule:114: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:114 --><!-- ws:start:WikiTextTocRule:115: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:115 --><!-- ws:start:WikiTextTocRule:116: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:116 --><!-- ws:start:WikiTextTocRule:117: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:117 --><!-- ws:start:WikiTextTocRule:118: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:118 --><!-- ws:start:WikiTextTocRule:119: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:119 --><!-- ws:start:WikiTextTocRule:120: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:120 --><!-- ws:start:WikiTextTocRule:121: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:121 --><!-- ws:start:WikiTextTocRule:122: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:122 --><!-- ws:start:WikiTextTocRule:123: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:123 --><!-- ws:start:WikiTextTocRule:124: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --><!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:130 --><!-- ws:start:WikiTextTocRule:131: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:131 --><!-- ws:start:WikiTextTocRule:132: --><!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:133 --><!-- ws:start:WikiTextTocRule:134: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:134 --><!-- ws:start:WikiTextTocRule:135: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:135 --><!-- ws:start:WikiTextTocRule:136: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:136 --><!-- ws:start:WikiTextTocRule:137: --><!-- ws:end:WikiTextTocRule:137 --><!-- ws:start:WikiTextTocRule:138: --><!-- ws:end:WikiTextTocRule:138 --><!-- ws:start:WikiTextTocRule:139: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:139 --><!-- ws:start:WikiTextTocRule:140: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:140 --><!-- ws:start:WikiTextTocRule:141: --> | <a href="#Semiphore">Semiphore</a><!-- ws:end:WikiTextTocRule:141 --><!-- ws:start:WikiTextTocRule:142: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:142 --><!-- ws:start:WikiTextTocRule:143: -->
| | |
| <!-- ws:end:WikiTextTocRule:143 --><!-- 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">
| | Scales: |
| </script><!-- ws:end:WikiTextMediaRule:0 --><br />
| | * [[Antikythera6]] – 6-tone haplotonic scale |
| <hr />
| | * [[Antikythera10]] – 10-tone albitonic scale |
| <br />
| | * [[Antikythera16]] – 16-tone chromatic scale |
| <!-- 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 />
| | == Glacial == |
| <br />
| | {{See also| Subgroup temperaments #Glacial }} |
| <!-- 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 />
| | Scales: |
| Commas: 250047/250000<br />
| | * [[Glacial6]] – 6-tone haplotonic scale |
| Sval name: 6&amp;21<br />
| | * [[Glacial7]] – 7-tone albitonic scale |
| Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain">domain</a><br />
| | * [[Glacial13]] – 13-tone chromatic scale |
| <br />
| | |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/POTE%20generator">POTE generator</a>: ~10/9 = 182.462<br />
| | == Leantone == |
| <br />
| | {{See also| Hemimean clan #Leantone }} |
| 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 />
| | [[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]] |
| Error: 0.0443 cents<br />
| | |
| <br />
| | Scales: |
| 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 />
| | * [[Leantone6]] – 6-tone haplotonic scale |
| <br />
| | * [[Leantone7]] – 7-tone albitonic scale |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br />
| | * [[Leantone13]] – 13-tone chromatic scale |
| <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15">Fifteen note chromatic scale</a><br />
| | |
| <br />
| | == Notes == |
| <!-- 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 />
| | [[Category:Lists of scales]] |
| Commas: 65536/65219<br />
| | [[Category:Tempered scales| ]] |
| Svals: 4&amp;7<br />
| | [[Category:Listen]] |
| <br />
| | [[Category:Rank 2]] |
| POTE generator: ~77/64 = 323.372<br />
| | |
| <br />
| | {{todo|cleanup}} |
| 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:145:&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:145 --><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:146:&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:146 --><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="Tridec"></a><!-- ws:end:WikiTextHeadingRule:13 -->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:15:&lt;h1&gt; --><h1 id="toc7"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:15 -->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:17:&lt;h1&gt; --><h1 id="toc8"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:17 -->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:147:&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:147 --><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:19:&lt;h2&gt; --><h2 id="toc9"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:19 -->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:21:&lt;h1&gt; --><h1 id="toc10"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:21 -->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:23:&lt;h1&gt; --><h1 id="toc11"><a name="Marveltri"></a><!-- ws:end:WikiTextHeadingRule:23 -->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 />
| |
| <!-- ws:start:WikiTextHeadingRule:25:&lt;h1&gt; --><h1 id="toc12"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:25 -->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:27:&lt;h1&gt; --><h1 id="toc13"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:27 -->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:148:&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:148 --><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:29:&lt;h1&gt; --><h1 id="toc14"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:29 -->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:149:&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:149 --><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:31:&lt;h1&gt; --><h1 id="toc15"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:31 -->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:150:&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:150 --><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:33:&lt;h1&gt; --><h1 id="toc16"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:33 -->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:35:&lt;h1&gt; --><h1 id="toc17"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:35 -->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:151:&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:151 --><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:37:&lt;h1&gt; --><h1 id="toc18"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:37 -->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:152:&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:152 --><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:39:&lt;h1&gt; --><h1 id="toc19"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:39 -->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:153:&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:153 --><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:41:&lt;h1&gt; --><h1 id="toc20"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:41 -->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:154:&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:154 --><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:43:&lt;h1&gt; --><h1 id="toc21"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:43 -->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:155:&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:155 --><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:45:&lt;h1&gt; --><h1 id="toc22"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:45 -->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:156:&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:156 --><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:47:&lt;h1&gt; --><h1 id="toc23"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:47 -->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:157:&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:157 --><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:49:&lt;h1&gt; --><h1 id="toc24"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:49 -->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:51:&lt;h1&gt; --><h1 id="toc25"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:51 -->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:158:&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:158 --><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:53:&lt;h1&gt; --><h1 id="toc26"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:53 -->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:159:&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:159 --><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:55:&lt;h1&gt; --><h1 id="toc27"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:55 -->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:57:&lt;h1&gt; --><h1 id="toc28"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:57 -->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:160:&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:160 --><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:59:&lt;h1&gt; --><h1 id="toc29"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:59 -->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:61:&lt;h2&gt; --><h2 id="toc30"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:61 -->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:63:&lt;h1&gt; --><h1 id="toc31"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:63 -->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:65:&lt;h1&gt; --><h1 id="toc32"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:65 -->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:161:&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:161 --><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:67:&lt;h1&gt; --><h1 id="toc33"><a name="Lovecraft"></a><!-- ws:end:WikiTextHeadingRule:67 -->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:69:&lt;h1&gt; --><h1 id="toc34"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:69 -->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:71:&lt;h1&gt; --><h1 id="toc35"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:71 -->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:73:&lt;h2&gt; --><h2 id="toc36"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:73 -->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:75:&lt;h1&gt; --><h1 id="toc37"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:75 -->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:77:&lt;h1&gt; --><h1 id="toc38"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:77 -->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:79:&lt;h1&gt; --><h1 id="toc39"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:79 -->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:162:&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:162 --><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:81:&lt;h1&gt; --><h1 id="toc40"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:81 -->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:83:&lt;h2&gt; --><h2 id="toc41"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:83 -->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:85:&lt;h2&gt; --><h2 id="toc42"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:85 -->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:87:&lt;h1&gt; --><h1 id="toc43"><a name="Antikythera"></a><!-- ws:end:WikiTextHeadingRule:87 -->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:89:&lt;h1&gt; --><h1 id="toc44"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:89 -->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:91:&lt;h1&gt; --><h1 id="toc45"><a name="Semiphore"></a><!-- ws:end:WikiTextHeadingRule:91 -->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:93:&lt;h1&gt; --><h1 id="toc46"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:93 -->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>
| |