Chromatic pairs: Difference between revisions

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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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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
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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.


=Terrain=  
== Terrain ==
Subgroup: 2.9/5.9/7
{{See also| Subgroup temperaments #Terrain }}
Commas: 250047/250000
Sval name: 6&amp;21
Related temperament: [[xenharmonic/Minortonic family#Domain|domain]]


[[Lp tuning|POL2 generator]]: ~10/9 = 182.461
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]


[[Gencom]]: [63/50 10/9; 250047/250000]
Scales:
Gencom map: [&lt;3 10/9 -7/9 2/9|, &lt;0 -2/3 -1/3 2/3|]
* [[Terrain9]] – 9-tone albitonic scale
* [[Terrain15]] – 15-tone chromatic scale


Map: [&lt;3 0 -4|, &lt;0 1 2|]
; Music
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
* ''5 5 1 mode of 33 equal'' (2013) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ blog] | [https://www.youtube.com/watch?v=2gYdUOPHXSQ YouTube] | [https://web.archive.org/web/20201127015117/http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play]
[[Lp tuning#L2 tuning|L2 error]]: 0.0169 cents


Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
== Petrtri ==
{{See also| Subgroup temperaments #Petrtri }}


[[image:terrain_3558edo.png]]
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]


[[xenharmonic/terrain9|Nine note albitonic scale]]
Scales:
[[xenharmonic/terrain15|Fifteen note chromatic scale]]
* [[Petrtri5]] – 5-tone haplotonic scale
* [[Petrtri8]] – 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


=Tridec=  
== Barton ==
Subgroup: 2.7/5.11/5.13/5
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
Commas: 847/845, 1001/1000
{{See also| The Jacobins #Barton }}
Sval name: 5&amp;8


[[Lp tuning|POL2 generator]]: ~13/10 = 454.556
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


[[Gencom]]: [2 13/10; 847/845 1001/1000]
== Tridec ==
Gencom map: [&lt;1 0 -3/4 5/4 -3/4 1/4|, &lt;0 0 0 -4 3 1|]
{{See also| Subgroup temperaments #Tridec }}


Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]
EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c
[[Lp tuning#L2 tuning|L2 error]]: 0.3950 cents


[[image:tridec_235edo.png]]
Scales:
* [[Tridec8]] – 8-tone albitonic scale
* [[Tridec13]] – 13-tone chromatic scale


[[xenharmonic/Tridec8|Eight note albitonic scale]]
== Nestoria ==
[[xenharmonic/Tridec13|Thirteen note chromatic scale]]
{{See also| Schismatic family #Nestoria (2.3.5.19)}}


=Petrtri=
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]
Subgroup: 2.11/5.13/5
Comma: 2200/2197
Svalname: 3&amp;5


[[Lp tuning|POL2 generator]]: ~13/10 = 455.012
Scales:
* [[Nestoria7]] – 7-tone albitonic scale
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


[[Gencom]]: [2 13/10; 2200/2197]
== Orgone ==
Gencom map: [&lt;1 0 -1/3 0 -1/3 2/3|, &lt;0 0 -4/3 0 5/3 -1/3|]
{{Main| Orgone }}
{{See also| Orgonia #Orgone }}


Map: [&lt;1 0 1|, &lt;0 3 1|]
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c
[[Lp tuning#L2 tuning|L2 error]]: 0.1835 cents


[[image:petrtri_385edo.png]]
Scales:
* [[Orgone7]] – 7-tone albitonic scale
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


[[xenharmonic/petrtri5|Five note haplotonic scale]]
== Marveltwintri ==
[[xenharmonic/petrtri8|Eight note albitonic scale]]
{{See also| Subgroup temperaments #Marveltwintri }}
[[xenharmonic/petrtri13|Thirteen note chromatic scale]]


=Garibaldi=
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
Group: 2.3.5.7
Commas: 225/224, 3125/3087
Val name: 12&amp;29


[[Lp tuning|POL2 generator]]: ~3/2 = 702.085
Scales:
* [[Marveltwintri7]] – 7-tone albitonic scale
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


[[Gencom]]: [2 3/2; 225/224 3125/3087]
== Cata ==
Gencom map: [&lt;1 1 7 11], &lt;0 1 -8 -14|]
{{Main| Kleismic }}
{{See also| Kleismic family #Cata }}


Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
EDOs: 7, 12, 17, 29, 41, 53, 94
*[[Lp tuning#L2 tuning|L2 error]]: 1.451 cents


[[image:garibaldi_94edo.png]]
Scales:
* [[Cata7]] – 7-tone albitonic scale
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


[[xenharmonic/garibaldi12|Twelve note albitonic scale]]
== Bridgetown ==
[[xenharmonic/garibaldi17|Seventeen note chromatic scale]]
{{See also| Subgroup temperaments #Bridgetown }}


=Nestoria=
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]
Subgroup: 2.3.5.19
Commas: 361/360, 513/512
Sval name: 12&amp;29
Related temperament: [[xenharmonic/Schismatic family|schismatic]]


[[Lp tuning|POL2 generator]]: ~3/2 = 701.746
Scales:
* [[Bridgetown9]] – 9-tone albitonic scale
* [[Bridgetown14]] – 14-tone chromatic scale


[[Gencom]]: [2 3/2; 361/360 513/512]
; Music
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 0 -3|]
* [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]]
* ''Route 14 in Bridgetown'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201127012744/http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 play] – in Bridgetown[14] for flute, bassoons, and contra-bassoon


Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]
== Haumea ==
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
{{See also| Subgroup temperaments #Haumea }}
[[Lp tuning#L2 tuning|L2 error]]: 0.2438 cents


[[image:nestoria_171edo.png]]
Scales:
* [[Haumea5]] – 5-tone haplotonic scale
* [[Haumea9]] – 9-tone albitonic scale
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


[[xenharmonic/nestoria7|Seven note albitonic scale]]
== Neutral ==
[[xenharmonic/nestoria12|Twelve note chromatic scale]]
{{See also| Rastmic clan #Neutral }}
[[xenharmonic/nestoria17|Seventeen note mega chromatic scale]]


=Bridgetown=
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
Subgroup: 2.3.11/5.13/5
Commas: 352/351, 676/675
Sval name: 5&amp;24
Related temperament: [[xenharmonic/The Archipelago|barabados]]


[[Lp tuning|POL2 generator]]: ~15/13 = 248.399
Scales:
* [[Neutral7]] – 7-tone albitonic scale
* [[Neutral10]] – 10-tone chromatic scale
* [[Neutral17]] – 17-tone mega-chromatic scale


[[Gencom]]: [2 15/13; 352/351 676/675]
; Music
Gencom map: [&lt;1 2 -5/3 0 4/3 1/3|, &lt;0 -2 4 0 -5 1|]
* [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


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
== Slendric ==
EDOs: 5, 9, 14, 19, 24, 29
{{Main| Slendric }}
[[Lp tuning#L2 tuning|L2 error]]: 0.3920 cents
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


[[image:bridgetown_29edo.png]]
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]


[[xenharmonic/bridgetown9|Nine note albitonic scale]]
Scales:
[[xenharmonic/bridgetown14|Fourteen note chromatic scale]]
* [[Slendric5]] – 5-tone haplotonic scale
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


==Music==  
== Huntington ==
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]]////&lt;/span&gt;&lt;/span&gt; by [[xenharmonic/Igliashon Jones|Igliashon Jones]]
{{See also| No-threes subgroup temperaments #Huntington }}
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]]////&lt;/span&gt;&lt;/span&gt; by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]


=Orgone=
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
Subgroup: 2.7.11
Commas: 65536/65219
Svals: 4&amp;7
Related temperament: [[Gamelismic clan#superkleismic|superkleismic]]
[[Lp tuning|POL2 generator]]: ~77/64 = 323.372


[[Gencom]]: [2 77/64; 65536/65219]
Scales:
Gencom map: [&lt;1 0 0 2 4|, &lt;0 0 0 3 -2|]
* [[Huntington7]] – 7-tone haplotonic scale
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


Map: [&lt;1 2 4|, &lt;0 3 -2|]
== Tobago ==
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308
{{See also| Subgroup temperaments #Tobago }}
[[Lp tuning#L2 tuning|L2 error]]: 0.4197 cents


[[image:orgone_308edo.jpg]]
Scales:
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


[[xenharmonic/orgone7|Seven note albitonic scale]]
== Pepperoni ==
[[xenharmonic/orgone11|Eleven note chromatic scale]]
{{See also| Parapyth }}
[[xenharmonic/orgone15|Fifteen note mega chromatic scale]]
{{See also| Subgroup temperaments #Pepperoni }}


=Cata=
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
Subgroup: 2.3.5.13
Commas: 325/324, 625/624
Sval name: 15&amp;19
Related temperament: [[xenharmonic/Kleismic family|catakleismic]]


[[Lp tuning|POL2 generator]]: ~6/5 = 317.076
Scales:
* [[Pepperoni7]] – 7-tone albitonic scale
* [[Pepperoni12]] – 12-tone chromatic scale


[[Gencom]]: [2 6/5; 325/324 625/624]
== Wizz ==
Gencom map: [&lt;1 0 1 0 0 0|, &lt;0 6 5 0 0 14|]
{{See also| No-threes subgroup temperaments #Wizz }}


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
Scales:  
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
* [[Wizz6]] – 6-tone haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 0.4936 cents
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


[[image:xenharmonic/cata_246edo2.jpg]]
== Bossier ==
[[xenharmonic/cata7|Seven note albitonic scale]]
{{See also| No-threes subgroup temperaments #Bossier }}
[[xenharmonic/cata11|Eleven note mega albitonic scale]]
[[xenharmonic/cata15|Fifteen note chromatic scale]]
[[xenharmonic/cata19|Nineteen note mega chromatic scale]]


=Marveltwintri=
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
Subgroup: 2.5/3.13/9
Comma: 325/324
Svalname: 3&amp;4


[[Lp tuning|POL2 generator]]: ~6/5 = 317.139
Scales:
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


[[Gencom]]: [2 6/5; 325/324]
== Penta a.k.a. mechanism ==
Gencom map: [&lt;1 -1/6 5/6 0 0 -1/3|, &lt;0 -1/2 -3/2 0 0 1|]
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}


Map: [&lt;1 0 2|, &lt;0 1 -2|]
Scales:  
EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b
* [[Penta5]] – 5-tone haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 0.5154 cents
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


[[image:marveltwintri_321edo.png]]
== Bluebirds ==
{{See also| No-threes subgroup temperaments #Bluebirds }}


[[xenharmonic/marveltwintri7|Seven note albitonic scale]]
Scales:
[[xenharmonic/marveltwintri11|Eleven note chromatic scale]]
* [[Bluebirds6]] – 6-tone haplotonic scale
[[xenharmonic/marveltwintri15|Fifteen note mega chromatic scale]]
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale


=Huntington=  
== Marveltri ==
Subgroup: 2.5.7.13
{{See also| Subgroup temperaments #Marveltri }}
Commas: 640/637, 10985/10976
Sval name: 10&amp;27


[[Lp tuning|POL2 generator]]: ~16/13 = 357.002
Scales:
* [[Marveltri7]] – 7-tone albitonic scale
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


[[Gencom]]: [2 16/13; 640/637 10985/10976]
== Edson ==
Gencom map: [&lt;1 0 5 4 0 4|, &lt;0 0 -9 -4 0 -1|]
{{See also| Subgroup temperaments #Edson }}


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
Scales:  
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
* [[Edson5]] – 5-tone haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 0.5409 cents
* [[Edson7]] – 7-tone albitonic scale
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


[[image:huntington_400edo.jpg]]
== Photia ==
{{See also| Schismatic family #Photia (2.3.5.17) }}


[[xenharmonic/huntington7|Seven note haplotonic scale]]
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
[[xenharmonic/huntington10|Ten note albitonic scale]]
[[xenharmonic/huntington17|Seventeen note chromatic scale]]


=Slendric=
Scales:
Subgroup: 2.3.7
* [[Photia7]] – 7-tone albitonic scale
Comma: 1029/1024
* [[Photia12]] – 12-tone chromatic scale
Sval name: 5&amp;21


[[Lp tuning|POL2 generator]]: ~8/7 = 233.688
== Shoe a.k.a. llywelyn ==
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


[[Gencom]]: [2 8/7; 1029/1024]
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
Gencom map: [&lt;1 1 0 3|, &lt;0 3 0 -1|]


Map: [&lt;1 1 3|, &lt;0 3 -1|]
Scales:
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
* [[Shoe5]] – 5-tone mini-haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 0.6357 cents
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


[[image:xenharmonic/slendric_190edo.jpg]]
== Roulette ==
{{See also | Hemimean clan #Roulette }}


[[xenharmonic/slendric5|Five note haplotonic scale]]
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
[[xenharmonic/slendric6|Six note haplotonic scale]]
[[xenharmonic/slendric11|Eleven note albitonic scale]]
[[xenharmonic/slendric16|Sixteen note chromatic scale]]


==Music==
Scales:
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]////&lt;/span&gt;&lt;/span&gt;
* [[Roulette6]] – 6-tone haplotonic scale
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]////&lt;/span&gt;&lt;/span&gt;
* [[Roulette7]] – 7-tone albitonic scale
by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


=Photia=  
== Silver ==
Subgroup: 2.3.5.17.19
{{See also | No-threes subgroup temperaments #Silver }}
Commas: 171/170, 256/255, 324/323
Sval name: 12&amp;41
Related temperament: [[xenharmonic/Schismatic family|schismatic]]


[[Lp tuning|POL2 generator]]: ~3/2 = 701.470
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]


[[Gencom]]: [2 3/2; 171/170 256/255 324/323]
Scales:
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]
* [[Silver7]] – 7-tone haplotonic scale
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
== Baldy ==
EDOs: 7, 12, 17, 29, 41, 53, 65
{{See also| Subgroup temperaments #Baldy }}
[[Lp tuning#L2 tuning|L2 error]]: 0.6436 cents


[[image:photia_65edo.png]]
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]


[[xenharmonic/photia7|Seven note albitonic scale]]
Scales
[[xenharmonic/photia12|Twelve note chromatic scale]]
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


=Neutraltet=
Subgroup: 2.3.11
Commas: 243/242
Svalname: 7&amp;17


[[Lp tuning|POL2 generator]]: ~11/9 = 350.525
== Guanyintet ==
{{See also | Subgroup temperaments #Guanyintet }}


[[Gencom]]: [2 11/9; 243/242]
Scales:
Gencom map: [&lt;1 1 0 0 2|, &lt;0 2 0 0 5|]
* [[Guanyintet5]] – 5-tone haplotonic scale
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


Map: [&lt;1 1 2|, &lt;0 2 5|]
== Radon ==
EDOs: 7, 17, 24, 65, 89, 202, 291, 380
{{See also| Gamelismic clan #Radon }}
[[Lp tuning#L2 tuning|L2 error]]: 0.6714 cents


[[image:neutraltet_380edo.png]]
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]


[[xenharmonic/neutraltet7|Seven note albitonic scale]]
* [[Radon5]] – 5-tone haplotonic scale
[[xenharmonic/neutraltet10|Ten note chromatic scale]]
* [[Radon11]] – 11-tone albitonic scale
[[xenharmonic/neutraltet17|Seventeen note mega chromatic scale]]
* [[Radon16]] – 16-tone chromatic scale


=Roulette=  
== Gariberttet ==
Subgroup: 2.5.7.11.13
{{See also | Subgroup temperaments #Gariberttet }}
Commas: 176/175, 1375/1372, 640/637
Sval name: 6&amp;25
Related temperament: [[xenharmonic/Würschmidt family|Hemiwürschmidt]]


[[Lp tuning|POL2 generator]]: ~28/25 = 194.594
Scales:
* [[Gariberttet5]] – 5-tone haplotonic scale
* [[Gariberttet9]] – 9-tone albitonic scale
* [[Gariberttet13]] – 13-tone chromatic scale


[[Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
== Namo ==
Gencom map: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]
{{See also| Rastmic clan #Namo }}


Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 37
* [[Namo7]] – 7-tone haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 0.6943 cents
* [[Namo10]] – 10-tone albitonic scale
* [[Namo17]] – 17-tone chromatic scale


[[image:xenharmonic/roulette_37edo.jpg]]
== Sentry ==
{{See also | Subgroup temperaments #Sentry }}


[[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
Scales:
[[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]]
* [[Sentry5]] – 5-tone haplotonic scale
[[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
* [[Sentry8]] – 8-tone albitonic scale
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]
* [[Sentry11]] – 11-tone chromatic scale


=Marveltri=  
== Hemif ==
Subgroup: 2.5.9/7
{{See also| No-fives subgroup temperaments #Hemif }}
Comma: 225/224
Sval name: 3&amp;13
Related temperaments: marvel, 22&amp;47, magic


[[Lp tuning|POL2 generator]]: ~5/4 = 383.638
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]


[[Gencom]]: [2 5/4; 225/224]
Scales:
Gencom map: [&lt;1 2/5 2 -1/5|, &lt;0 -4/5 1 2/5|]
* [[Hemif7]] – 7-tone haplotonic scale
* [[Hemif10]] – 10-tone albitonic scale
* [[Hemif17]] – 17-tone chromatic scale


Map: [&lt;1 0 5|, &lt;0 1 -2|]
== Garibaldi ==
EDOs: 12, 13, 16, 19, 22, 47, 69
{{Main| Garibaldi temperament }}
[[Lp tuning#L2 tuning|L2 error]]: 0.8159 cents
{{See also| Schismatic family #Garibaldi }}


[[xenharmonic/marveltri7|Seven note albitonic scale]]
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
[[xenharmonic/marveltri10|Ten note chromatic scale]]
[[xenharmonic/marveltri13|Thirteen note mega chromatic scale]]


=Pepperoni=
Scales:  
Subgroup: 2.3.11/7.13/7
* [[Garibaldi12]] – 12-tone albitonic scale
Commas: 352/351, 364/363
* [[Garibaldi17]] – 17-tone chromatic scale
Sval name: 5&amp;12
Related temperament: The [[xenharmonic/Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.


[[Lp tuning|POL2 generator]]: ~3/2 = 703.856
== Mabilic ==
{{See also| No-threes subgroup temperaments #Mabilic }}


[[Gencom]]: [2 3/2; 352/351 364/363]
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
Gencom map: [&lt;1 1 0 -8/3 1/3 7/3|, &lt;0 1 0 11/3 -1/3 -10/3|]


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
Scales:  
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
* [[Mabilic7]] – 7-tone haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 0.8488 cents
* [[Mabilic9]] – 9-tone albitonic scale
* [[Mabilic16]] – 16-tone chromatic scale


[[image:pepperoni_271edo.png]]
== Indium ==
{{See also | Subgroup temperaments #Indium }}


[[xenharmonic/pepperoni7|Seven note albitonic scale]]
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
[[xenharmonic/pepperoni12|Twelve note chromatic scale]]


=Penta=
Scales:  
Subgroup: 2.9.7.11
* [[Indium8]] – 8-tone albitonic scale
Commas: 896/891, 26411/26244
* [[Indium17]] – 17-tone chromatic scale
Svalname: 8&amp;11


[[Lp tuning|POL2 generator]]: ~9/7 = 438.465
; Music
* ''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]


[[Gencom]]: [2 9/7; 896/891 26411/26244]
== Starlingtet ==
Gencom map: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]
{{See also | Subgroup temperaments #Starlingtet }}


Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]
Scales:  
EDOs: 8, 11, 30, 41, 52
* [[Starlingtet4]] – 4-tone haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 0.9130 cents
* [[Starlingtet7]] – 7-tone albitonic scale
* [[Starlingtet11]] – 11-tone chromatic scale


[[xenharmonic/penta5|Five note haplotonic scale]]
== Lovecraft ==
[[xenharmonic/penta9|Nine note albitonic scale]]
{{See also | No-threes subgroup temperaments #Lovecraft }}
[[xenharmonic/penta13|Thirteen chromatic note scale]]
[[xenharmonic/penta17|Seventeen note mega chromatic scale]]


=Shoe=
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
Subgroup: 2.5.7.11.13
Commas: 176/175, 640/637, 847/845
Sval name: 16&amp;21


[[Lp tuning|POL2 generator]]: ~8/7 = 227.108
Scales:
* [[Lovecraft5]] – 5-tone haplotonic scale
* [[Lovecraft9]] – 9-tone albitonic scale
* [[Lovecraft13]] – 13-tone chromatic scale


[[Gencom]]: [2 8/7; 176/175 640/637 847/845]
== Blackbirds ==
Gencom map: [&lt;1 0 1 3 1 2|, &lt;0 0 7 -1 13 9|]
{{See also | No-threes subgroup temperaments #Blackbirds }}


Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]
Scales:  
EDOs: 16, 21, 37
* [[Blackbirds8]] – 8-tone albitonic scale
[[Lp tuning#L2 tuning|L2 error]]: 1.035
* [[Blackbirds12]] – 12-tone chromatic scale
* [[Blackbirds16]] – 16-tone mega-chromatic scale


[[image:xenharmonic/shoe_37edo.jpg]]
== Laz ==
{{See also | Subgroup temperaments #Laz }}


[[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
Scales:
[[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
* [[Laz5]] – 5-tone haplotonic scale
[[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
* [[Laz9]] – 9-tone albitonic scale
[[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]
* [[Laz13]] – 13-tone chromatic scale


=Guanyintet=  
== Myna ==
Subgroup: 2.5.7/3.11/3
{{Main| Myna }}
Commas: 176/175, 540/539
{{See also| Starling temperaments #Myna }}
Svalname: 4&amp;9
Related temperaments: guanyin, orwell


[[Lp tuning|POL2 generator]]: ~7/6 = 270.093
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]


[[Gencom]]: [2 7/6; 176/175 540/539]
Scales:
Gencom map: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]
* [[Myna7]] – 7-tone haplotonic scale
* [[Myna11]] – 11-tone albitonic scale
* [[Myna15]] – 15-tone chromatic scale


Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]
== Greeley ==
EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd
{{See also| Subgroup temperaments #Greeley }}
[[Lp tuning#L2 tuning|L2 error]]: 1.043 cents


[[xenharmonic/guanyintet5|Five note haplotonic scale]]
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
[[xenharmonic/guanyintet9|Nine note albitonic scale]]
[[xenharmonic/guanyintet13|Thirteen note chromatic scale]]


=Baldy=
Scales:  
Subgroup: 2.9.5.7.13
* [[Greeley8]] – 8-tone albitonic scale
Commas: 225/224, 325/324, 640/637
* [[Greeley15]] – 15-tone chromatic scale
Sval name: 6&amp;35
Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]


POTE generator: ~9/8 = 204.090
; Music
* ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15]


[[Gencom]]:
== Ammon ==
Gencom map:
{{See also| Subgroup temperaments #Ammon }}


Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]]
Error: 2.617 cents


[[image:baldy_147edo.jpg]]
Scales:
* [[Ammon8]] – 8-tone albitonic scale
* [[Ammon13]] – 13-tone chromatic scale


[[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
== Mothwelltri ==
[[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
{{See also| Subgroup temperaments #Mothwelltri }}
[[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]


=Bossier=
Scales:
Subgroup: 2.7.11.13
* [[Mothwelltri5]] – 5-tone haplotonic scale
Commas: 1573/1568, 15488/15379
* [[Mothwelltri9]] – 9-tone albitonic scale
Sval name: 3&amp;17
* [[Mothwelltri13]] – 13-tone chromatic scale


POTE generator: ~14/11 = 421.309
== Sulis ==
{{See also| Subgroup temperaments #Sulis }}


[[Gencom]]:
Scales:
Gencom map:
* [[Sulis7]] – 7-tone haplotonic scale
* [[Sulis10]] – 10-tone albitonic scale
* [[Sulis13]] – 13-tone chromatic scale


Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
== Skwares ==
EDOs: 17, 20, 37, 57, 94, 225
{{Main| Squares }}
Error: 2.665 cents
{{See also| No-fives subgroup temperaments #Skwares }}


[[image:bossier_225edo.jpg]]
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]


[[xenharmonic/bossier8|Eight note albitonic scale]]
Scales:
[[xenharmonic/bossier11|Eleven note chromatic scale]]
* [[Skwares8]] – 8-tone albitonic scale
[[xenharmonic/bossier14|Fourteen note mega chromatic scale]]
* [[Skwares11]] – 11-tone mega-albitonic scale
* [[Skwares14]] – 14-tone chromatic scale


=Radon=  
== Orwell ==
Subgroup: 2.3.7.11
{{Main| Orwell }}
Commas: 896/891, 1029/1024
{{See also| Semicomma family #Orwell }}
Sval name: 5&amp;36
Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]


POTE generator: ~8/7 = 234.381
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]


[[Gencom]]:
Scales:
Gencom map:
* [[Orwell5]] – 5-tone haplotonic scale
* [[Orwell9]] – 9-tone albitonic scale
* [[Orwell13]] – 13-tone chromatic scale


Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
== Magicaltet ==
EDOs: 5, 36, 41, 87, 128
{{See also| Subgroup temperaments #Magicaltet }}
Error: 2.925 cents


[[image:radon_128edo.jpg]]
Scales:
* [[Magicaltet7]] – 7-tone albitonic scale
* [[Magicaltet11]] – 11-tone chromatic scale
* [[Magicaltet15]] – 15-tone mega-chromatic scale


[[xenharmonic/radon5|Five note haplotonic scale]]
== Magic ==
[[xenharmonic/radon11|Eleven note albitonic scale]]
{{Main| Magic }}
[[xenharmonic/radon16|Sixteen note chromatic scale]]
{{See also| Magic family #Magic }}


=Myna=
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
Group: 2.3.5.7
Commas: 126/125, 1728/1715
Val name: 4&amp;27


POTE generator: ~6/5 = 310.146
Scales:  
* [[Magic7]] – 7-tone haplotonic scale
* [[Magic10]] – 10-tone albitonic scale
* [[Magic13]] – 13-tone chromatic scale
* [[Magic16]] – 16-tone mega-chromatic scale


[[Gencom]]:
== Kiribati ==
Gencom map:
{{See also| Subgroup temperaments #Kiribati }}


Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
Scales:  
EDOs: 4, 27, 31, 58, 89
* [[Kiribati13]] – 13-tone chromatic scale
Error: 3.310 cents
* [[Kiribati14]] – 14-tone chromatic scale


[[image:myna_89edo.jpg]]
== Score ==
{{See also|No-threes subgroup temperaments #Score }}


[[xenharmonic/myna7|Seven note haplotonic scale]]
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
[[xenharmonic/myna11|Eleven note albitonic scale]]
[[xenharmonic/myna15|Fifteen note chromatic scale]]


=Silver=
Scales:
Subgroup: 2.5.7.13.17
* [[Score5]] – 5-tone haplotonic scale
Commas: 170/169, 640/637, 5525/5488
* [[Score7]] – 7-tone albitonic scale
Sval name: 10&amp;27
* [[Score9]] – 9-tone mega-albitonic scale
* [[Score11]] – 11-tone chromatic scale


POTE generator: ~13/8 = 842.711
== Sensi ==
{{Main| Sensi }}
{{See also| Sensipent family #Sensi }}


[[Gencom]]:
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
Gencom map:


Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
Scales:  
EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|487]]
* [[Sensi5]] – 5-tone haplotonic scale
Error: 3.437
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


[[image:silver_487edo.jpg]]
=== Sensation ===
{{Main| Sensi }}
{{See also| Sensipent family #Sensi }}


[[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]]
Scales:
[[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
* [[Sensi5]] – 5-tone haplotonic scale
[[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


=Mabila=  
== Meantone ==
Subgroup: 2.5.7
{{Main| Meantone }}
Comma: 1071875/1048576
{{See also| Meantone family #Meantone }}
Sval name: 7&amp;9


POTE generator: ~175/128 = 527.236
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]


[[Gencom]]:
Scales:
Gencom map:
* [[Meantone5]] – 5-tone haplotonic scale
* [[Meantone7]] – 7-tone albitonic scale
* [[Meantone12]] – 12-tone chromatic scale


Map: [&lt;1 1 5|, &lt;0 3 -5|]
== Mohaha ==
EDOs: 7, 9, 16, 25, 41, 66
{{See also| Rastmic clan #Mohaha }}
Error: 3.560


[[image:mabila_66edo.jpg]]
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]


[[xenharmonic/mabila7|Seven note haplotonic scale]]
Scales:
[[xenharmonic/mabila9|Nine note albitonic scale]]
* [[Mohaha7]] – 7-tone albitonic scale
[[xenharmonic/mabila16|Sixteen note chromatic scale]]
* [[Mohaha10]] – 10-tone chromatic scale


=Meantone=
Music:
Group: 2.3.5.7
; [[Billy Stiltner]]
Commas: 81/80, 126/125
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}
Val name: 12&amp;19


POTE generator: 696.495
=== Mohoho ===
{{See also| Rastmic clan #Mohoho }}


[[Gencom]]:
== Joan ==
Gencom map:
{{See also| Subgroup temperaments #Joan }}


Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
Scales:  
EDOs: 5, 7, 12, 19, 31, 81, 112, 143
* [[Joan5]] – 5-tone haplotonic scale
Error: 3.585
* [[Joan7]] – 7-tone albitonic scale
* [[Joan9]] – 9-tone mega-albitonic scale
* [[Joan11]] – 11-tone chromatic scale


[[image:meantone_31edo.jpg]]
== Tutone ==
{{See also| Hemimean clan #Tutone }}


[[xenharmonic/meantone5|Five note haplotonic scale]]
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
[[xenharmonic/meantone7|Seven note albitonic scale]]
[[xenharmonic/meantone12|Twelve note chromatic scale]]


=Starlingtet=
Scales:  
Group: 2.5/3.7/3
* [[Tutone6]] – 6-tone haplotonic scale
Comma: 126/125
* [[Tutone7]] – 7-tone albitonic scale
Svalname: 4&amp;15
* [[Tutone13]] – 13-tone chromatic scale
Related temperaments: starling; becomes myna
POTE generator: ~6/5 = 311.213


[[Gencom]]:
== Stacks ==
Gencom map:
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}


Map: [&lt;1 0 -1|, &lt;0 1 3|]
Scales:  
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
* [[Stacks5]] – 5-tone haplotonic scale
Error: 311.213
* [[Stacks8]] – 8-tone albitonic scale
* [[Stacks11]] – 11-tone chromatic scale
* [[Stacks19]] – 19-tone mega-chromatic scale


[[xenharmonic/starlingtet4|Four note haplotonic scale]]
== Bleu ==
[[xenharmonic/starlingtet7|Seven note albitonic scale]]
{{See also| No-fives subgroup temperaments #Bleu }}
[[xenharmonic/starlingtet11|Eleven note chromatic scale]]


=Indium=
Scales:
Subgroup: 2.5/3.7/3.11/3
* [[Bleu8]] – 8-tone haplotonic scale
Commas: 3025/3024, 3125/3087
* [[Bleu9]] – 9-tone albitonic scale
Sval name: 8&amp;33
* [[Bleu17]] – 17-tone chromatic scale


POTE generator: ~12/11 = 147.159
== Sephiroth ==
{{See also| No-threes subgroup temperaments #Sephiroth }}


[[Gencom]]:
Scales:
Gencom map:
* [[Sephiroth7]] – 7-tone haplotonic scale
* [[Sephiroth10]] – 10-tone albitonic scale
* [[Sephiroth13]] – 13-tone chromatic scale
* [[Sephiroth16]] – 16-tone mega-chromatic scale


Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
== Archy ==
EDOs: 33, 41, 49, 57, 106, 204, 253
{{Main| Superpyth }}
Error: 3.968 cents
{{See also| Archytas clan #Archy }}


[[image:indium_253edo.png]]
Scales:
* [[Archy5]] – 5-tone haplotonic scale
* [[Archy7]] – 7-tone albitonic scale
* [[Archy12]] – 12-tone chromatic scale


[[xenharmonic/indium8|Eight note albitonic scale]]
=== Supra ===
[[xenharmonic/indium17|Seventeen note chromatic scale]]
{{Main| Superpyth }}
{{See also| Archytas clan #Supra }}


==Music==
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]]////&lt;/span&gt;&lt;/span&gt; (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] =&gt; [[@http://chrisvaisvil.com/?p=1532|details]]


=Magic=
Scales:
Group: 2.3.5.7.11
* [[Supra7]] – 7-tone [[albitonic scale]]
Commas: 100/99, 225/224, 245/243
* [[Supra12]] – 12-tone [[chromatic scale]]
Val name: 19&amp;22


POTE generator: ~5/4 = 380.696
=== Supraphon ===
{{Main| Superpyth }}
{{See also| Archytas clan #Supraphon }}


[[Gencom]]:
== Suhajira ==
Gencom map:
{{See also| Archytas clan #Suhajira }}


Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
Scales:  
EDOs: 19, 22, 41, 104, 145
* [[Suhajira7]] – 7-tone haplotonic scale
Error: 4.489
* [[Suhajira10]] – 10-tone albitonic scale
* [[Suhajira17]] – 17-tone chromatic scale


[[image:xenharmonic/magic_145edo.jpg]]
== Machine ==
{{See also| Subgroup temperaments #Machine}}


[[xenharmonic/magic7|Seven note haplotonic scale]]
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
[[xenharmonic/magic10|Ten note albitonic scale]]
[[xenharmonic/magic13|Thirteen note chromatic scale]]
[[xenharmonic/magic16|Sixteen note mega chromatic scale]]


==Music==
Scales:
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]]////&lt;/span&gt; [[@http://www.chrisvaisvil.com/|Chris Vaisvil]]
* [[Machine5]] – 5-tone haplotonic scale
* [[Machine6]] – 6-tone albitonic scale
* [[Machine11]] – 11-tone chromatic scale


=Gariberttet=  
== Deutone ==
Subgroup: 2.5/3.7/3.13/11
{{See also| Hemimean clan #Deutone }}
Commas: 275/273, 847/845
Svalname: 4&amp;29


POTE generator: ~13/11 = 292.418
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]


[[Gencom]]:
Scales:
Gencom map:
* [[Deutone6]] – 6-tone haplotonic scale
* [[Deutone7]] – 7-tone albitonic scale
* [[Deutone13]] – 13-tone chromatic scale


Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]
== Negra ==
EDOs: 29, 33, 37, 41, 78
{{Main| Negri }}
Error: 4.473
{{See also| Marvel temperaments #Negri }}


[[xenharmonic/gariberttet5|Five note haplotonic scale]]
== Porkypine ==
[[xenharmonic/gariberttet9|Nine note albitonic scale]]
{{Main| Porcupine }}
[[xenharmonic/gariberttet13|Thirteen note chromatic scale]]
{{See also| Porcupine family #Porcupine }}


=Hemif=
Scales:
Subgroup: 2.3.7.11.13
* [[Porkypine7]] – 7-tone haplotonic scale
Commas: 144/143, 243/242, 364/363
* [[Porkypine8]] – 8-tone albitonic scale
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]
* [[Porkypine15]] – 15-tone chromatic scale


POTE generator: ~11/9 = 351.691
== Skateboard ==
{{See also| Subgroup temperaments #Skateboard }}


[[Gencom]]:
Scales:
Gencom map:
* [[Skateboard7]] – 7-tone haplotonic scale
* [[Skateboard11]] – 11-tone albitonic scale
* [[Skateboard15]] – 15-tone chromatic scale


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
== Augment ==
EDOs: 7, 10, 17, 24, 41, 58
{{See also| No-threes subgroup temperaments #Augment }}
Error: 4.867 cents


[[image:hemif_58edo.jpg]]
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]


[[xenharmonic/hemif7|Seven note haplotonic scale]]
Scales:
[[xenharmonic/hemif10|Ten note albitonic scale]]
* [[Augment6]] – 6-tone haplotonic scale
[[xenharmonic/hemif17|Seventeen note chromatic scale]]
* [[Augment9]] – 9-tone albitonic scale
* [[Augment12]] – 12-tone chromatic scale


=Skwares=  
== Semaphore ==
Subgroup: 2.3.7.11
{{Main| Semaphore and godzilla }}
Commas: 99/98, 243/242
{{See also| Semaphoresmic clan #Semaphore }}
Related temperament: [[xenharmonic/Meantone family|squares]]


POTE generator: ~9/7 = 425.244
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]


[[Gencom]]:
Scales:
Gencom map:
* [[Semaphore5]] – 5-tone haplotonic scale
* [[Semaphore9]] – 9-tone albitonic scale
* [[Semaphore14]] – 14-tone chromatic scale


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
== Kryptonite ==
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
{{See also| Subgroup temperaments #Kryptonite }}
Error: 4.942 cents


[[image:skwares_206edo.png]]
Scales:
* [[Kryptonite9]] – 9-tone albitonic scale
* [[Kryptonite10]] – 10-tone albitonic scale
* [[Kryptonite19]] – 19-tone mega-chromatic scale


[[xenharmonic/skwares8|Eight note albitonic scale]]
== Oregon ==
[[xenharmonic/skwares11|Eleven note mega albitonic scale]]
{{See also| Orgonia #Oregon }}
[[xenharmonic/skwares14|Fourteen note chromatic scale]]


=Sensi=
Scales:
Group: 2.3.5.7
* [[Oregon7]] – 7-tone haplotonic scale
Commas: 126/126, 245/243
* [[Oregon11]] – 11-tone albitonic scale
Val name: 19&amp;27
* [[Oregon15]] – 15-tone chromatic scale


POTE generator: ~9/7 = 443.383
== Antikythera ==
{{See also| Jubilismic clan #Antikythera }}


[[Gencom]]:
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
Gencom map:


Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
Scales:  
EDOs: 5, 8, 11, 19, 27, 46
* [[Antikythera6]] – 6-tone haplotonic scale
Error: 5.019
* [[Antikythera10]] – 10-tone albitonic scale
* [[Antikythera16]] – 16-tone chromatic scale


[[image:xenharmonic/sensi_46edo.jpg]]
== Glacial ==
{{See also| Subgroup temperaments #Glacial }}


[[xenharmonic/sensi5|Five note haplotonic scale]]
Scales:
[[xenharmonic/sensi8|Eight note albitonic scale]]
* [[Glacial6]] – 6-tone haplotonic scale
[[xenharmonic/sensi11|Eleven note mega albitonic scale]]
* [[Glacial7]] – 7-tone albitonic scale
[[xenharmonic/sensi19|Nineteen note chromatic scale]]
* [[Glacial13]] – 13-tone chromatic scale


=Greeley=  
== Leantone ==
Subgroup: 2.5/3.7/3.11/3
{{See also| Hemimean clan #Leantone }}
Commas: 121/120, 126/125


POTE generator: ~11/10 = 156.055
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]
Related temperament: [[Porcupine family#Opossum|Opossum]]
[[Gencom]]:
Gencom map:


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
Scales:  
EDOs: 8, 15, 23, 77, 100
* [[Leantone6]] – 6-tone haplotonic scale
Error: 5.404 cents
* [[Leantone7]] – 7-tone albitonic scale
* [[Leantone13]] – 13-tone chromatic scale


[[image:greeley_100edo.png]]
== Notes ==


[[xenharmonic/greeley8|Eight note albitonic scale]]
[[Category:Lists of scales]]
[[xenharmonic/greeley15|Fifteen note chromatic scale]]
[[Category:Tempered scales| ]]
[[Category:Listen]]
[[Category:Rank 2]]


==Music==
{{todo|cleanup}}
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]////&lt;/span&gt;&lt;/span&gt; by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15
 
=Semidim=
Subgroup: 2.5/3.7/3.11/3.13/3
Commas: 121/120, 169/168, 275/273
Sval name: 8&amp;29
 
POTE generator: ~13/10 = 453.190
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
EDOs: 5, 8, 13, 21, 29, 37, 45
Error: 5.433 cents
 
[[image:semidim_770edo.png]]
 
[[xenharmonic/semidim8|Eight note albitonic scale]]
[[xenharmonic/semidim13|Thirteen note chromatic scale]]
 
=Orwell=
Group: 2.3.5.7.11
Commas: 99/98, 121/120, 176/175
Val name: 9&amp;22
 
POTE generator: ~7/6 = 271.426
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
EDOs: 9, 22, 31, 53, 84
Error: 5.584
 
[[image:xenharmonic/orwell_84edo.png]]
 
[[xenharmonic/orwell5|Five note haplotonic scale]]
[[xenharmonic/orwell9|Nine note albitonic scale]]
[[xenharmonic/orwell13|Thirteen note chromatic scale]]
 
=Magicaltet=
Group: 2.5/3.7.11
Commas: 100/99, 385/384
Related temperaments: 4&amp;7&amp;15, magic
 
POTE generator: ~6/5 = 319.424
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]
EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd
Error: 5.720 cents
 
[[xenharmonic/magicaltet7|Seven note albitonic scale]]
[[xenharmonic/magicaltet11|Eleven note chromatic scale]]
[[xenharmonic/magicaltet15|Fifteen note mega scale]]
 
=Sentry=
Group: 2.5/3.9/7
Commas: 245/243
Svalname: 3&amp;5
Related temperaments: sensi
 
POTE generator: ~9/7 = 438.574
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 0|, &lt;0 2 1|]
EDOs: 8, 11, 30, 41, 52, 145b, 197bc
Error: 5.793 cents
 
[[xenharmonic/sentry5|Five note haplotonic scale]]
[[xenharmonic/sentry8|Eight note albitonic scale]]
[[xenharmonic/sentry11|Eleven note note chromatic scale]]
 
=Mothwelltri=
Group: 2.7/3.11
Comma: 99/98
Svalname: 1&amp;4
Related temperament: Orwell
 
POTE generator:~7/6 = 268.508
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 1|, &lt;0 1 2|]
EDOs: 9, 40, 49c, 58c, 67c, 76c
Error: 6.119 cents
 
[[xenharmonic/mothwelltri5|Five note haplotonic scale]]
[[xenharmonic/mothwelltri9|Nine note albitonic scale]]
[[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]
 
=Lovecraft=
Group: 2.11.13
 
POTE generator: ~13/11 = 279.318
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 1 0|, &lt;0 2 3|]
EDOS: 13, 30, 43, 73, 116b
Error: 6.026 cents
 
[[image:lovecraft_116edo.png]]
 
[[xenharmonic/lovecraft5|Five note haplotonic scale]]
[[xenharmonic/lovecraft9|Nine note albitonic scale]]
[[xenharmonic/lovecraft13|Thirteen note chromatic scale]]
 
=Bleu=
Group: 2.3.7.11.13
Commas: 78/77, 99/98, 144/143
Sval name: 9&amp;17
 
POTE generator: ~13/12 = 139.990
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
Error: 6.361 cents
 
[[image:blue_60edo.png]]
 
[[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
 
=Mohaha=
Subgroup: 2.3.5.11
Commas: 81/80, 121/120
Related temperament: [[xenharmonic/Meantone family|mohajira]]
 
POTE generator: ~11/9 = 348.094
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
EDOs: 24, 31, 69d, 100d, 131bd
Error: 6.733 cents
 
[[image:mohaha_131edo.png]]
 
[[xenharmonic/mohaha7|Seven note albitonic scale]]
[[xenharmonic/mohaha10|Ten note chromatic scale]]
 
===Music===
////[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]]//// by [[Billy Stiltner]]
 
==Mohoho==
Subgroup: 2.3.5.11.13
Commas: 66/65, 81/80, 121/120
 
POTE generator: ~11/9 = 348.916
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
EDOs: 17c, 24, 31, 55, 86de, 141cde
Error: 9.556 cents
 
=Stacks=
Subgroup: 2.9.15.7.11.13
Commas: 100/99, 105/104, 144/143, 196/195
Svalname: 11&amp;30
 
POTE generator: ~9/7 = 438.977
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
EDOs: 11, 30, 41
Error: 6.947 cents
 
[[xenharmonic/stacks5|Five note haplotonic scale]]
[[xenharmonic/stacks8|Eight note albitonic scale]]
[[xenharmonic/stacks11|Eleven note note chromatic scale]]
[[xenharmonic/stacks19|Nineteen note note mega chromatic scale]]
 
=Tutone=
Subgroup: 2.9.5.7.11
Commas: 81/80, 99/98, 126/125
Related temperament: [[xenharmonic/Meantone family|meantone]]
 
POTE generator: ~9/8 = 193.937
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
EDOs: 25, 31, 68b, 99b
Error: 7.047 cents
 
[[xenharmonic/tutone6|Six note haplotonic scale]]
[[xenharmonic/tutone7|Seven note albitonic scale]]
[[xenharmonic/tutone13|Thirteen note chromatic scale]]
 
[[image:tutone_99edo.png]]
 
=Leantone=
Subgroup: 2.9.5.7.11
Commas: 45/44, 56/55, 81/80
Related temperament: [[meanenneadecal]]
 
POTE generator: ~9/8 = 192.500
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
Error: 20.338 cents
 
[[image:leantone_81edo.png]]
 
[[xenharmonic/leantone6|Six note haplotonic scale]]
[[xenharmonic/leantone7|Seven note albitonic scale]]
[[xenharmonic/leantone13|Thirteen note chromatic scale]]
 
=Score=
Subgroup: 2.7.11.13
Commas: 343/338, 847/832
 
POTE generator: ~11/8 = 540.099
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
EDOs: 5, 7, 9, 11, 20
Error: 8.052 cents
 
[[image:xenharmonic/score_20edo.jpg]]
 
[[xenharmonic/score5|Five note haplotonic scale]]
[[xenharmonic/score7|Seven note albitonic scale]]
[[xenharmonic/score9|Nine note mega albitonic scale]]
[[xenharmonic/score11|Eleven note chromatic scale]]
 
=Supra=
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[xenharmonic/suprapyth|suprapyth]]
 
POTE generator: ~3/2 = 707.192
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
Error: 9.795 cents
 
[[image:supra_56edo.png]]
 
[[xenharmonic/supra7|Seven note albitonic scale]]
[[xenharmonic/supra12|Twelve note chromatic scale]]
 
==Supraphon==
Subgroup: 2.3.7.11.13
Commas: 64/63, 78/77, 99/98
 
POTE generator: ~3/2 = 706.137
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
EDOs: 5, 7, 12, 17
Error: 10.534 cents
 
==Machine==
Subgroup: 2.9.7.11
Commas: 64/63, 99/98
 
POTE generator: ~9/8 = 214.384
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
EDOs: 5, 6, 11, 17, 28
Error: 10.100 cents
 
[[image:machine_28edo.png]]
 
[[xenharmonic/machine5|Five note haplotonic scale]]
[[xenharmonic/machine6|Six note albitonic scale]]
[[xenharmonic/machine11|Eleven note chromatic scale]]
 
=Antikythera=
Subgroup: 2.9.5.7
Commas: 50/49, 64/63
Related temperament: [[xenharmonic/pajara|pajara]]
 
POTE generator: ~8/7 = 214.095
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
EDOS: 4, 6, 10, 16, 22, 28
Error: 11.508 cents
 
[[image:antikythera_28edo.png]]
 
[[xenharmonic/antikythera6|Six note haplotonic scale]]
[[xenharmonic/antikythera10|Ten note albitonic scale]]
[[xenharmonic/antikythera16|Sixteen note chromatic scale]]
 
=Deutone=
Subgroup: 2.9.5.7.13
Commas: 65/64, 81/80, 91/90
Related temperament: [[xenharmonic/Meantone family|meanpop]]
 
POTE generator: ~9/8 = 191.059
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
EDOs: 6, 7, 13, 19, 25, 44, 69
Error: 12.145 cents
 
[[image:deutone_44edo.png]]
 
[[xenharmonic/deutone6|Six note haplotonic scale]]
[[xenharmonic/deutone7|seven note albitonic scale]]
[[xenharmonic/deutone13|Thirteen note chromatic scale]]
 
=Semaphore=
Subgroup: 2.3.7
Comma: 49/48
 
POTE generator: ~7/6 = 250.385
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;1 0 2|, &lt;0 2 1|]
EDOs: 5, 9, 14, 19, 24
Error: 12.428
 
[[image:semaphore_24edo.png]]
 
[[xenharmonic/semiphore5|Five note haplotonic scale]]
[[xenharmonic/semiphore9|Nine note albitonic scale]]
[[xenharmonic/semiphore14|Fourteen note chromatic scale]]
 
=Augment=
Subgroup: 2.5.7.11
Commas: 56/55, 128/125
Related temperament: [[xenharmonic/Augmented family|augmented]]
 
POTE generator: ~8/7 = 228.275
 
[[Gencom]]:
Gencom map:
 
Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
EDOs: 3, 6, 9, 15, 21
Error: 12.830 cents
 
[[image:augment_21edo.png]]
 
[[xenharmonic/augment6|Six note haplotonic scale]]
[[xenharmonic/augment9|Nine note albitonic scale]]
[[xenharmonic/augment12|Twelve note chromatic scale]]</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chromatic pairs&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextTocRule:123:&amp;lt;img id=&amp;quot;wikitext@@toc@@flat&amp;quot; class=&amp;quot;WikiMedia WikiMediaTocFlat&amp;quot; title=&amp;quot;Table of Contents&amp;quot; src=&amp;quot;/site/embedthumbnail/toc/flat?w=100&amp;amp;h=16&amp;quot;/&amp;gt; --&gt;&lt;!-- ws:end:WikiTextTocRule:123 --&gt;&lt;!-- ws:start:WikiTextTocRule:124: --&gt;&lt;a href="#Definitions"&gt;Definitions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:124 --&gt;&lt;!-- ws:start:WikiTextTocRule:125: --&gt; | &lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:125 --&gt;&lt;!-- ws:start:WikiTextTocRule:126: --&gt; | &lt;a href="#Tridec"&gt;Tridec&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:126 --&gt;&lt;!-- ws:start:WikiTextTocRule:127: --&gt; | &lt;a href="#Petrtri"&gt;Petrtri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:127 --&gt;&lt;!-- ws:start:WikiTextTocRule:128: --&gt; | &lt;a href="#Garibaldi"&gt;Garibaldi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:128 --&gt;&lt;!-- ws:start:WikiTextTocRule:129: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:129 --&gt;&lt;!-- ws:start:WikiTextTocRule:130: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:130 --&gt;&lt;!-- ws:start:WikiTextTocRule:131: --&gt;&lt;!-- ws:end:WikiTextTocRule:131 --&gt;&lt;!-- ws:start:WikiTextTocRule:132: --&gt; | &lt;a href="#Orgone"&gt;Orgone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:132 --&gt;&lt;!-- ws:start:WikiTextTocRule:133: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:133 --&gt;&lt;!-- ws:start:WikiTextTocRule:134: --&gt; | &lt;a href="#Marveltwintri"&gt;Marveltwintri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:134 --&gt;&lt;!-- ws:start:WikiTextTocRule:135: --&gt; | &lt;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:135 --&gt;&lt;!-- ws:start:WikiTextTocRule:136: --&gt; | &lt;a href="#Slendric"&gt;Slendric&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:136 --&gt;&lt;!-- ws:start:WikiTextTocRule:137: --&gt;&lt;!-- ws:end:WikiTextTocRule:137 --&gt;&lt;!-- ws:start:WikiTextTocRule:138: --&gt; | &lt;a href="#Photia"&gt;Photia&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:138 --&gt;&lt;!-- ws:start:WikiTextTocRule:139: --&gt; | &lt;a href="#Neutraltet"&gt;Neutraltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:139 --&gt;&lt;!-- ws:start:WikiTextTocRule:140: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:140 --&gt;&lt;!-- ws:start:WikiTextTocRule:141: --&gt; | &lt;a href="#Marveltri"&gt;Marveltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:141 --&gt;&lt;!-- ws:start:WikiTextTocRule:142: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:142 --&gt;&lt;!-- ws:start:WikiTextTocRule:143: --&gt; | &lt;a href="#Penta"&gt;Penta&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:143 --&gt;&lt;!-- ws:start:WikiTextTocRule:144: --&gt; | &lt;a href="#Shoe"&gt;Shoe&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:144 --&gt;&lt;!-- ws:start:WikiTextTocRule:145: --&gt; | &lt;a href="#Guanyintet"&gt;Guanyintet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:145 --&gt;&lt;!-- ws:start:WikiTextTocRule:146: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:146 --&gt;&lt;!-- ws:start:WikiTextTocRule:147: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:147 --&gt;&lt;!-- ws:start:WikiTextTocRule:148: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:148 --&gt;&lt;!-- ws:start:WikiTextTocRule:149: --&gt; | &lt;a href="#Myna"&gt;Myna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:149 --&gt;&lt;!-- ws:start:WikiTextTocRule:150: --&gt; | &lt;a href="#Silver"&gt;Silver&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:150 --&gt;&lt;!-- ws:start:WikiTextTocRule:151: --&gt; | &lt;a href="#Mabila"&gt;Mabila&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:151 --&gt;&lt;!-- ws:start:WikiTextTocRule:152: --&gt; | &lt;a href="#Meantone"&gt;Meantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:152 --&gt;&lt;!-- ws:start:WikiTextTocRule:153: --&gt; | &lt;a href="#Starlingtet"&gt;Starlingtet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:153 --&gt;&lt;!-- ws:start:WikiTextTocRule:154: --&gt; | &lt;a href="#Indium"&gt;Indium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:154 --&gt;&lt;!-- ws:start:WikiTextTocRule:155: --&gt;&lt;!-- ws:end:WikiTextTocRule:155 --&gt;&lt;!-- ws:start:WikiTextTocRule:156: --&gt; | &lt;a href="#Magic"&gt;Magic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:156 --&gt;&lt;!-- ws:start:WikiTextTocRule:157: --&gt;&lt;!-- ws:end:WikiTextTocRule:157 --&gt;&lt;!-- ws:start:WikiTextTocRule:158: --&gt; | &lt;a href="#Gariberttet"&gt;Gariberttet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:158 --&gt;&lt;!-- ws:start:WikiTextTocRule:159: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:159 --&gt;&lt;!-- ws:start:WikiTextTocRule:160: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:160 --&gt;&lt;!-- ws:start:WikiTextTocRule:161: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:161 --&gt;&lt;!-- ws:start:WikiTextTocRule:162: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:162 --&gt;&lt;!-- ws:start:WikiTextTocRule:163: --&gt;&lt;!-- ws:end:WikiTextTocRule:163 --&gt;&lt;!-- ws:start:WikiTextTocRule:164: --&gt; | &lt;a href="#Semidim"&gt;Semidim&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:164 --&gt;&lt;!-- ws:start:WikiTextTocRule:165: --&gt; | &lt;a href="#Orwell"&gt;Orwell&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:165 --&gt;&lt;!-- ws:start:WikiTextTocRule:166: --&gt; | &lt;a href="#Magicaltet"&gt;Magicaltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:166 --&gt;&lt;!-- ws:start:WikiTextTocRule:167: --&gt; | &lt;a href="#Sentry"&gt;Sentry&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:167 --&gt;&lt;!-- ws:start:WikiTextTocRule:168: --&gt; | &lt;a href="#Mothwelltri"&gt;Mothwelltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:168 --&gt;&lt;!-- ws:start:WikiTextTocRule:169: --&gt; | &lt;a href="#Lovecraft"&gt;Lovecraft&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:169 --&gt;&lt;!-- ws:start:WikiTextTocRule:170: --&gt; | &lt;a href="#Bleu"&gt;Bleu&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:170 --&gt;&lt;!-- ws:start:WikiTextTocRule:171: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:171 --&gt;&lt;!-- ws:start:WikiTextTocRule:172: --&gt;&lt;!-- ws:end:WikiTextTocRule:172 --&gt;&lt;!-- ws:start:WikiTextTocRule:173: --&gt;&lt;!-- ws:end:WikiTextTocRule:173 --&gt;&lt;!-- ws:start:WikiTextTocRule:174: --&gt; | &lt;a href="#Stacks"&gt;Stacks&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:174 --&gt;&lt;!-- ws:start:WikiTextTocRule:175: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:175 --&gt;&lt;!-- ws:start:WikiTextTocRule:176: --&gt; | &lt;a href="#Leantone"&gt;Leantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:176 --&gt;&lt;!-- ws:start:WikiTextTocRule:177: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:177 --&gt;&lt;!-- ws:start:WikiTextTocRule:178: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:178 --&gt;&lt;!-- ws:start:WikiTextTocRule:179: --&gt;&lt;!-- ws:end:WikiTextTocRule:179 --&gt;&lt;!-- ws:start:WikiTextTocRule:180: --&gt;&lt;!-- ws:end:WikiTextTocRule:180 --&gt;&lt;!-- ws:start:WikiTextTocRule:181: --&gt; | &lt;a href="#Antikythera"&gt;Antikythera&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:181 --&gt;&lt;!-- ws:start:WikiTextTocRule:182: --&gt; | &lt;a href="#Deutone"&gt;Deutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:182 --&gt;&lt;!-- ws:start:WikiTextTocRule:183: --&gt; | &lt;a href="#Semaphore"&gt;Semaphore&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:183 --&gt;&lt;!-- ws:start:WikiTextTocRule:184: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:184 --&gt;&lt;!-- ws:start:WikiTextTocRule:185: --&gt;
&lt;!-- ws:end:WikiTextTocRule:185 --&gt;&lt;!-- ws:start:WikiTextMediaRule:0:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/custom/11052942?h=0&amp;amp;w=0&amp;quot; class=&amp;quot;WikiMedia WikiMediaCustom&amp;quot; id=&amp;quot;wikitext@@media@@type=&amp;amp;quot;custom&amp;amp;quot; key=&amp;amp;quot;11052942&amp;amp;quot;&amp;quot; title=&amp;quot;Custom Media&amp;quot;/&amp;gt; --&gt;&lt;script type="text/javascript" src="http://mediaplayer.yahoo.com/js"&gt;
&lt;/script&gt;&lt;!-- ws:end:WikiTextMediaRule:0 --&gt;&lt;br /&gt;
&lt;hr /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:1:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Definitions"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:1 --&gt;Definitions&lt;/h1&gt;
By a &lt;em&gt;chromatic pair&lt;/em&gt; is meant a pair of &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales"&gt;MOS&lt;/a&gt; in some rank two temperament (which may often be a &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Just%20intonation%20subgroups"&gt;subgroup temperament&lt;/a&gt;) 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 &amp;quot;albitonic&amp;quot; from the Latin word for &amp;quot;white&amp;quot;. Also included at times are &amp;quot;haplotonic&amp;quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Target%20tunings"&gt;tuning target&lt;/a&gt; the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Terrain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Terrain&lt;/h1&gt;
Subgroup: 2.9/5.9/7&lt;br /&gt;
Commas: 250047/250000&lt;br /&gt;
Sval name: 6&amp;amp;21&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~10/9 = 182.461&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [63/50 10/9; 250047/250000]&lt;br /&gt;
Gencom map: [&amp;lt;3 10/9 -7/9 2/9|, &amp;lt;0 -2/3 -1/3 2/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.0169 cents&lt;br /&gt;
&lt;br /&gt;
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.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:187:&amp;lt;img src=&amp;quot;/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png" alt="terrain_3558edo.png" title="terrain_3558edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:187 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:5:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="Tridec"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&gt;Tridec&lt;/h1&gt;
Subgroup: 2.7/5.11/5.13/5&lt;br /&gt;
Commas: 847/845, 1001/1000&lt;br /&gt;
Sval name: 5&amp;amp;8&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/10 = 454.556&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/10; 847/845 1001/1000]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 -3/4 5/4 -3/4 1/4|, &amp;lt;0 0 0 -4 3 1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 0 1|, &amp;lt;0 -4 3 1|]&lt;br /&gt;
EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.3950 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:188:&amp;lt;img src=&amp;quot;/file/view/tridec_235edo.png/284860428/tridec_235edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/tridec_235edo.png/284860428/tridec_235edo.png" alt="tridec_235edo.png" title="tridec_235edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:188 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Petrtri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;Petrtri&lt;/h1&gt;
Subgroup: 2.11/5.13/5&lt;br /&gt;
Comma: 2200/2197&lt;br /&gt;
Svalname: 3&amp;amp;5&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/10 = 455.012&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/10; 2200/2197]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 -1/3 0 -1/3 2/3|, &amp;lt;0 0 -4/3 0 5/3 -1/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1|, &amp;lt;0 3 1|]&lt;br /&gt;
EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.1835 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:189:&amp;lt;img src=&amp;quot;/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png" alt="petrtri_385edo.png" title="petrtri_385edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:189 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:9:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;Garibaldi&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 225/224, 3125/3087&lt;br /&gt;
Val name: 12&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 702.085&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 225/224 3125/3087]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 11], &amp;lt;0 1 -8 -14|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 25|, &amp;lt;0 1 -8 -14|]&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 94&lt;br /&gt;
*&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.451 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:190:&amp;lt;img src=&amp;quot;/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png" alt="garibaldi_94edo.png" title="garibaldi_94edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:190 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12"&gt;Twelve note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:11:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;Nestoria&lt;/h1&gt;
Subgroup: 2.3.5.19&lt;br /&gt;
Commas: 361/360, 513/512&lt;br /&gt;
Sval name: 12&amp;amp;29&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 701.746&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 361/360 513/512]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 0 0 0 0 6|, &amp;lt;0 1 -8 0 0 0 0 -3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 9|, &amp;lt;0 1 -8 -3|]&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 118, 171&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.2438 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:191:&amp;lt;img src=&amp;quot;/file/view/nestoria_171edo.png/284862598/nestoria_171edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/nestoria_171edo.png/284862598/nestoria_171edo.png" alt="nestoria_171edo.png" title="nestoria_171edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:191 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria17"&gt;Seventeen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Bridgetown"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;Bridgetown&lt;/h1&gt;
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
Commas: 352/351, 676/675&lt;br /&gt;
Sval name: 5&amp;amp;24&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago"&gt;barabados&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~15/13 = 248.399&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 15/13; 352/351 676/675]&lt;br /&gt;
Gencom map: [&amp;lt;1 2 -5/3 0 4/3 1/3|, &amp;lt;0 -2 4 0 -5 1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.3920 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:192:&amp;lt;img src=&amp;quot;/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png" alt="bridgetown_29edo.png" title="bridgetown_29edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:192 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:15:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="Bridgetown-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;Music&lt;/h2&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;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"&gt;Paint in the Water 29&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Igliashon%20Jones"&gt;Igliashon Jones&lt;/a&gt;&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow"&gt;Route 14 in Bridgetown&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:17:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Orgone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;Orgone&lt;/h1&gt;
Subgroup: 2.7.11&lt;br /&gt;
Commas: 65536/65219&lt;br /&gt;
Svals: 4&amp;amp;7&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Gamelismic%20clan#superkleismic"&gt;superkleismic&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~77/64 = 323.372&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 77/64; 65536/65219]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 2 4|, &amp;lt;0 0 0 3 -2|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 4|, &amp;lt;0 3 -2|]&lt;br /&gt;
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.4197 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:193:&amp;lt;img src=&amp;quot;/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:193 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone15"&gt;Fifteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:19:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;Cata&lt;/h1&gt;
Subgroup: 2.3.5.13&lt;br /&gt;
Commas: 325/324, 625/624&lt;br /&gt;
Sval name: 15&amp;amp;19&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 317.076&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 325/324 625/624]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 1 0 0 0|, &amp;lt;0 6 5 0 0 14|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1 0|, &amp;lt;0 6 5 14|]&lt;br /&gt;
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.4936 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:194:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:194 --&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:21:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Marveltwintri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:21 --&gt;Marveltwintri&lt;/h1&gt;
Subgroup: 2.5/3.13/9&lt;br /&gt;
Comma: 325/324&lt;br /&gt;
Svalname: 3&amp;amp;4&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 317.139&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 325/324]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1/6 5/6 0 0 -1/3|, &amp;lt;0 -1/2 -3/2 0 0 1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2|, &amp;lt;0 1 -2|]&lt;br /&gt;
EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.5154 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:195:&amp;lt;img src=&amp;quot;/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png" alt="marveltwintri_321edo.png" title="marveltwintri_321edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:195 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri15"&gt;Fifteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:23:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Huntington"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:23 --&gt;Huntington&lt;/h1&gt;
Subgroup: 2.5.7.13&lt;br /&gt;
Commas: 640/637, 10985/10976&lt;br /&gt;
Sval name: 10&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~16/13 = 357.002&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 16/13; 640/637 10985/10976]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 5 4 0 4|, &amp;lt;0 0 -9 -4 0 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 5 4 4|, &amp;lt;0 -9 -4 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 27, 37, 84, 121, 400&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.5409 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:196:&amp;lt;img src=&amp;quot;/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:196 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:25:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Slendric"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:25 --&gt;Slendric&lt;/h1&gt;
Subgroup: 2.3.7&lt;br /&gt;
Comma: 1029/1024&lt;br /&gt;
Sval name: 5&amp;amp;21&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~8/7 = 233.688&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 8/7; 1029/1024]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 3|, &amp;lt;0 3 0 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3|, &amp;lt;0 3 -1|]&lt;br /&gt;
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6357 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:197:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:197 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:27:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Slendric-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:27 --&gt;Music&lt;/h2&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow"&gt;The 11th Slendric Fanfare&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow"&gt;16 Slendric Virgins&lt;/a&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
by &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:29:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:29 --&gt;Photia&lt;/h1&gt;
Subgroup: 2.3.5.17.19&lt;br /&gt;
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
Sval name: 12&amp;amp;41&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 701.470&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 171/170 256/255 324/323]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 0 0 0 0 6|, &amp;lt;0 1 -8 0 0 0 7 -3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 65&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6436 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:198:&amp;lt;img src=&amp;quot;/file/view/photia_65edo.png/284863542/photia_65edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:198 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:31:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Neutraltet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:31 --&gt;Neutraltet&lt;/h1&gt;
Subgroup: 2.3.11&lt;br /&gt;
Commas: 243/242&lt;br /&gt;
Svalname: 7&amp;amp;17&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 350.525&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 243/242]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2|, &amp;lt;0 2 0 0 5|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2|, &amp;lt;0 2 5|]&lt;br /&gt;
EDOs: 7, 17, 24, 65, 89, 202, 291, 380&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6714 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:199:&amp;lt;img src=&amp;quot;/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png" alt="neutraltet_380edo.png" title="neutraltet_380edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:199 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17"&gt;Seventeen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:33:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:33 --&gt;Roulette&lt;/h1&gt;
Subgroup: 2.5.7.11.13&lt;br /&gt;
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
Sval name: 6&amp;amp;25&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family"&gt;Hemiwürschmidt&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~28/25 = 194.594&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 28/25; 176/175 1375/1372 640/637]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 2 2 2 5|, &amp;lt;0 0 2 5 9 -8|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -3 -7 13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6943 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:200:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:200 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6"&gt;roulette6&lt;/a&gt; - six note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette7"&gt;roulette7&lt;/a&gt; - seven note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette13"&gt;roulette13&lt;/a&gt; - thirteen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19"&gt;roulette19&lt;/a&gt; - nineteen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale"&gt;mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:35:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Marveltri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:35 --&gt;Marveltri&lt;/h1&gt;
Subgroup: 2.5.9/7&lt;br /&gt;
Comma: 225/224&lt;br /&gt;
Sval name: 3&amp;amp;13&lt;br /&gt;
Related temperaments: marvel, 22&amp;amp;47, magic&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~5/4 = 383.638&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 5/4; 225/224]&lt;br /&gt;
Gencom map: [&amp;lt;1 2/5 2 -1/5|, &amp;lt;0 -4/5 1 2/5|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 5|, &amp;lt;0 1 -2|]&lt;br /&gt;
EDOs: 12, 13, 16, 19, 22, 47, 69&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.8159 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13"&gt;Thirteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:37:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Pepperoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:37 --&gt;Pepperoni&lt;/h1&gt;
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
Commas: 352/351, 364/363&lt;br /&gt;
Sval name: 5&amp;amp;12&lt;br /&gt;
Related temperament: The &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Peppermint-24"&gt;Pepper fifth&lt;/a&gt;, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 703.856&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 352/351 364/363]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 -8/3 1/3 7/3|, &amp;lt;0 1 0 11/3 -1/3 -10/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.8488 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:201:&amp;lt;img src=&amp;quot;/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png" alt="pepperoni_271edo.png" title="pepperoni_271edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:201 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:39:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Penta"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:39 --&gt;Penta&lt;/h1&gt;
Subgroup: 2.9.7.11&lt;br /&gt;
Commas: 896/891, 26411/26244&lt;br /&gt;
Svalname: 8&amp;amp;11&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 438.465&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 896/891 26411/26244]&lt;br /&gt;
Gencom map: [&amp;lt;1 5/2 0 5 2|, &amp;lt;0 -5/2 0 -6 4|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -1 6|, &amp;lt;0 5 6 -4|]&lt;br /&gt;
EDOs: 8, 11, 30, 41, 52&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.9130 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta13"&gt;Thirteen chromatic note scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta17"&gt;Seventeen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:41:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc20"&gt;&lt;a name="Shoe"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:41 --&gt;Shoe&lt;/h1&gt;
Subgroup: 2.5.7.11.13&lt;br /&gt;
Commas: 176/175, 640/637, 847/845&lt;br /&gt;
Sval name: 16&amp;amp;21&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~8/7 = 227.108&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 8/7; 176/175 640/637 847/845]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 1 3 1 2|, &amp;lt;0 0 7 -1 13 9|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 1 2|, &amp;lt;0 7 -1 13 9|]&lt;br /&gt;
EDOs: 16, 21, 37&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.035&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:202:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg" alt="shoe_37edo.jpg" title="shoe_37edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:202 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5"&gt;shoe5&lt;/a&gt; - five note mini &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe6"&gt;shoe6&lt;/a&gt; - six note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe11"&gt;shoe11&lt;/a&gt; - eleven note note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe16"&gt;shoe16&lt;/a&gt; - sixteen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:43:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Guanyintet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:43 --&gt;Guanyintet&lt;/h1&gt;
Subgroup: 2.5.7/3.11/3&lt;br /&gt;
Commas: 176/175, 540/539&lt;br /&gt;
Svalname: 4&amp;amp;9&lt;br /&gt;
Related temperaments: guanyin, orwell&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~7/6 = 270.093&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 176/175 540/539]&lt;br /&gt;
Gencom map: [&amp;lt;1 -4/3 3 -1/3 5/3|, &amp;lt;0 4/3 -3 7/3 -11/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -2|, &amp;lt;0 3 -1 5|]&lt;br /&gt;
EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.043 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:45:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:45 --&gt;Baldy&lt;/h1&gt;
Subgroup: 2.9.5.7.13&lt;br /&gt;
Commas: 225/224, 325/324, 640/637&lt;br /&gt;
Sval name: 6&amp;amp;35&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 204.090&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 25 -28|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
EDOs: 6, 11, 17, 23, 29, 35, 41, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo"&gt;47&lt;/a&gt;, 100, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/147edo"&gt;147&lt;/a&gt;&lt;br /&gt;
Error: 2.617 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:203:&amp;lt;img src=&amp;quot;/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:203 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6"&gt;baldy6&lt;/a&gt; - six note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy11"&gt;baldy11&lt;/a&gt; - eleven note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy17"&gt;baldy17&lt;/a&gt; - seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:47:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="Bossier"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:47 --&gt;Bossier&lt;/h1&gt;
Subgroup: 2.7.11.13&lt;br /&gt;
Commas: 1573/1568, 15488/15379&lt;br /&gt;
Sval name: 3&amp;amp;17&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~14/11 = 421.309&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1 3|, &amp;lt;0 8 7 2|]&lt;br /&gt;
EDOs: 17, 20, 37, 57, 94, 225&lt;br /&gt;
Error: 2.665 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:204:&amp;lt;img src=&amp;quot;/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="bossier_225edo.jpg" title="bossier_225edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:204 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier14"&gt;Fourteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:49:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:49 --&gt;Radon&lt;/h1&gt;
Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 896/891, 1029/1024&lt;br /&gt;
Sval name: 5&amp;amp;36&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 234.381&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
Error: 2.925 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:205:&amp;lt;img src=&amp;quot;/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:205 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:51:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Myna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:51 --&gt;Myna&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 126/125, 1728/1715&lt;br /&gt;
Val name: 4&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 310.146&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 9 9 8|, &amp;lt;0 -10 -9 -7|]&lt;br /&gt;
EDOs: 4, 27, 31, 58, 89&lt;br /&gt;
Error: 3.310 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:206:&amp;lt;img src=&amp;quot;/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:206 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:53:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc26"&gt;&lt;a name="Silver"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:53 --&gt;Silver&lt;/h1&gt;
Subgroup: 2.5.7.13.17&lt;br /&gt;
Commas: 170/169, 640/637, 5525/5488&lt;br /&gt;
Sval name: 10&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/8 = 842.711&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 5 4 4 2|, &amp;lt;0 -9 -4 -1 7|]&lt;br /&gt;
EDOs: 7, 10, 17, 27, 37, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo"&gt;47&lt;/a&gt;, 84, 131, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo"&gt;487&lt;/a&gt;&lt;br /&gt;
Error: 3.437&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:207:&amp;lt;img src=&amp;quot;/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:207 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7"&gt;silver7&lt;/a&gt; -seven note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver10"&gt;silver10&lt;/a&gt; - ten note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver17"&gt;silver17&lt;/a&gt; - seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:55:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc27"&gt;&lt;a name="Mabila"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:55 --&gt;Mabila&lt;/h1&gt;
Subgroup: 2.5.7&lt;br /&gt;
Comma: 1071875/1048576&lt;br /&gt;
Sval name: 7&amp;amp;9&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~175/128 = 527.236&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 5|, &amp;lt;0 3 -5|]&lt;br /&gt;
EDOs: 7, 9, 16, 25, 41, 66&lt;br /&gt;
Error: 3.560&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:208:&amp;lt;img src=&amp;quot;/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:208 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:57:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:57 --&gt;Meantone&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 81/80, 126/125&lt;br /&gt;
Val name: 12&amp;amp;19&lt;br /&gt;
&lt;br /&gt;
POTE generator: 696.495&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13|, &amp;lt;0 1 4 10|]&lt;br /&gt;
EDOs: 5, 7, 12, 19, 31, 81, 112, 143&lt;br /&gt;
Error: 3.585&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:209:&amp;lt;img src=&amp;quot;/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:209 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:59:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc29"&gt;&lt;a name="Starlingtet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:59 --&gt;Starlingtet&lt;/h1&gt;
Group: 2.5/3.7/3&lt;br /&gt;
Comma: 126/125&lt;br /&gt;
Svalname: 4&amp;amp;15&lt;br /&gt;
Related temperaments: starling; becomes myna&lt;br /&gt;
POTE generator: ~6/5 = 311.213&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -1|, &amp;lt;0 1 3|]&lt;br /&gt;
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b&lt;br /&gt;
Error: 311.213&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet4"&gt;Four note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:61:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc30"&gt;&lt;a name="Indium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:61 --&gt;Indium&lt;/h1&gt;
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Commas: 3025/3024, 3125/3087&lt;br /&gt;
Sval name: 8&amp;amp;33&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~12/11 = 147.159&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 2|, &amp;lt;0 6 10 -1|]&lt;br /&gt;
EDOs: 33, 41, 49, 57, 106, 204, 253&lt;br /&gt;
Error: 3.968 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:210:&amp;lt;img src=&amp;quot;/file/view/indium_253edo.png/284867050/indium_253edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/indium_253edo.png/284867050/indium_253edo.png" alt="indium_253edo.png" title="indium_253edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:210 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:63:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc31"&gt;&lt;a name="Indium-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:63 --&gt;Music&lt;/h2&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow"&gt;The Cry of Indium&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; (in Indium 17) by &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; =&amp;gt; &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank"&gt;details&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:65:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc32"&gt;&lt;a name="Magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:65 --&gt;Magic&lt;/h1&gt;
Group: 2.3.5.7.11&lt;br /&gt;
Commas: 100/99, 225/224, 245/243&lt;br /&gt;
Val name: 19&amp;amp;22&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~5/4 = 380.696&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 1 12 -8|]&lt;br /&gt;
EDOs: 19, 22, 41, 104, 145&lt;br /&gt;
Error: 4.489&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:211:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="magic_145edo.jpg" title="magic_145edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:211 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic16"&gt;Sixteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:67:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc33"&gt;&lt;a name="Magic-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:67 --&gt;Music&lt;/h2&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow"&gt;Chromatic piece in magic 16&lt;/a&gt;&lt;/span&gt; &lt;a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:69:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc34"&gt;&lt;a name="Gariberttet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:69 --&gt;Gariberttet&lt;/h1&gt;
Subgroup: 2.5/3.7/3.13/11&lt;br /&gt;
Commas: 275/273, 847/845&lt;br /&gt;
Svalname: 4&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/11 = 292.418&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0 0|, &amp;lt;0 3 5 1|]&lt;br /&gt;
EDOs: 29, 33, 37, 41, 78&lt;br /&gt;
Error: 4.473&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:71:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc35"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:71 --&gt;Hemif&lt;/h1&gt;
Subgroup: 2.3.7.11.13&lt;br /&gt;
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/9 = 351.691&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 24, 41, 58&lt;br /&gt;
Error: 4.867 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:212:&amp;lt;img src=&amp;quot;/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:212 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:73:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc36"&gt;&lt;a name="Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:73 --&gt;Skwares&lt;/h1&gt;
Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 99/98, 243/242&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 425.244&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206&lt;br /&gt;
Error: 4.942 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:213:&amp;lt;img src=&amp;quot;/file/view/skwares_206edo.png/284589566/skwares_206edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:213 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:75:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:75 --&gt;Sensi&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 126/126, 245/243&lt;br /&gt;
Val name: 19&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 443.383&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 6 8 11|, &amp;lt;0 -7 -9 -13|]&lt;br /&gt;
EDOs: 5, 8, 11, 19, 27, 46&lt;br /&gt;
Error: 5.019&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:214:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:214 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19"&gt;Nineteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:77:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc38"&gt;&lt;a name="Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:77 --&gt;Greeley&lt;/h1&gt;
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Commas: 121/120, 126/125&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/10 = 156.055&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Porcupine%20family#Opossum"&gt;Opossum&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
EDOs: 8, 15, 23, 77, 100&lt;br /&gt;
Error: 5.404 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:215:&amp;lt;img src=&amp;quot;/file/view/greeley_100edo.png/284867960/greeley_100edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/greeley_100edo.png/284867960/greeley_100edo.png" alt="greeley_100edo.png" title="greeley_100edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:215 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:79:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc39"&gt;&lt;a name="Greeley-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:79 --&gt;Music&lt;/h2&gt;
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow"&gt;A Greeley Steals Halloween&lt;/a&gt;&lt;/span&gt;&lt;/span&gt; by &lt;a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank"&gt;Chris Vaisvil&lt;/a&gt; in Greeley 15&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:81:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc40"&gt;&lt;a name="Semidim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:81 --&gt;Semidim&lt;/h1&gt;
Subgroup: 2.5/3.7/3.11/3.13/3&lt;br /&gt;
Commas: 121/120, 169/168, 275/273&lt;br /&gt;
Sval name: 8&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/10 = 453.190&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 3 5 3 4|, &amp;lt;0 -6 -10 -3 -5|]&lt;br /&gt;
EDOs: 5, 8, 13, 21, 29, 37, 45&lt;br /&gt;
Error: 5.433 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:216:&amp;lt;img src=&amp;quot;/file/view/semidim_770edo.png/284868918/semidim_770edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="semidim_770edo.png" title="semidim_770edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:216 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:83:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc41"&gt;&lt;a name="Orwell"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:83 --&gt;Orwell&lt;/h1&gt;
Group: 2.3.5.7.11&lt;br /&gt;
Commas: 99/98, 121/120, 176/175&lt;br /&gt;
Val name: 9&amp;amp;22&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~7/6 = 271.426&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 3 1 3|, &amp;lt;0 7 -3 8 2|]&lt;br /&gt;
EDOs: 9, 22, 31, 53, 84&lt;br /&gt;
Error: 5.584&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:217:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="orwell_84edo.png" title="orwell_84edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:217 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:85:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc42"&gt;&lt;a name="Magicaltet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:85 --&gt;Magicaltet&lt;/h1&gt;
Group: 2.5/3.7.11&lt;br /&gt;
Commas: 100/99, 385/384&lt;br /&gt;
Related temperaments: 4&amp;amp;7&amp;amp;15, magic&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~6/5 = 319.424&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 5 2|, &amp;lt;0 1 -3 2|]&lt;br /&gt;
EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd&lt;br /&gt;
Error: 5.720 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet15"&gt;Fifteen note mega scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:87:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc43"&gt;&lt;a name="Sentry"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:87 --&gt;Sentry&lt;/h1&gt;
Group: 2.5/3.9/7&lt;br /&gt;
Commas: 245/243&lt;br /&gt;
Svalname: 3&amp;amp;5&lt;br /&gt;
Related temperaments: sensi&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 438.574&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0|, &amp;lt;0 2 1|]&lt;br /&gt;
EDOs: 8, 11, 30, 41, 52, 145b, 197bc&lt;br /&gt;
Error: 5.793 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry11"&gt;Eleven note note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:89:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc44"&gt;&lt;a name="Mothwelltri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:89 --&gt;Mothwelltri&lt;/h1&gt;
Group: 2.7/3.11&lt;br /&gt;
Comma: 99/98&lt;br /&gt;
Svalname: 1&amp;amp;4&lt;br /&gt;
Related temperament: Orwell&lt;br /&gt;
&lt;br /&gt;
POTE generator:~7/6 = 268.508&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1|, &amp;lt;0 1 2|]&lt;br /&gt;
EDOs: 9, 40, 49c, 58c, 67c, 76c&lt;br /&gt;
Error: 6.119 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:91:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc45"&gt;&lt;a name="Lovecraft"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:91 --&gt;Lovecraft&lt;/h1&gt;
Group: 2.11.13&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/11 = 279.318&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0|, &amp;lt;0 2 3|]&lt;br /&gt;
EDOS: 13, 30, 43, 73, 116b&lt;br /&gt;
Error: 6.026 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:218:&amp;lt;img src=&amp;quot;/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png" alt="lovecraft_116edo.png" title="lovecraft_116edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:218 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:93:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc46"&gt;&lt;a name="Bleu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:93 --&gt;Bleu&lt;/h1&gt;
Group: 2.3.7.11.13&lt;br /&gt;
Commas: 78/77, 99/98, 144/143&lt;br /&gt;
Sval name: 9&amp;amp;17&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~13/12 = 139.990&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 3 3|, &amp;lt;0 5 7 4 6|]&lt;br /&gt;
EDOs: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo"&gt;17&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo"&gt;43&lt;/a&gt;, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo"&gt;60c&lt;/a&gt;&lt;br /&gt;
Error: 6.361 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:219:&amp;lt;img src=&amp;quot;/file/view/blue_60edo.png/284591332/blue_60edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:219 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8"&gt;bleu8&lt;/a&gt; - Eight note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale"&gt;haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu9"&gt;bleu9&lt;/a&gt; - Nine note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale"&gt;albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu17"&gt;bleu17&lt;/a&gt; - Seventeen note &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale"&gt;chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:95:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc47"&gt;&lt;a name="Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:95 --&gt;Mohaha&lt;/h1&gt;
Subgroup: 2.3.5.11&lt;br /&gt;
Commas: 81/80, 121/120&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/9 = 348.094&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
EDOs: 24, 31, 69d, 100d, 131bd&lt;br /&gt;
Error: 6.733 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:220:&amp;lt;img src=&amp;quot;/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png" alt="mohaha_131edo.png" title="mohaha_131edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:220 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:97:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc48"&gt;&lt;a name="Mohaha--Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:97 --&gt;Music&lt;/h3&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow"&gt;Mohaha10ping2&lt;/a&gt; by &lt;a class="wiki_link" href="/Billy%20Stiltner"&gt;Billy Stiltner&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:99:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc49"&gt;&lt;a name="Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:99 --&gt;Mohoho&lt;/h2&gt;
Subgroup: 2.3.5.11.13&lt;br /&gt;
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/9 = 348.916&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
EDOs: 17c, 24, 31, 55, 86de, 141cde&lt;br /&gt;
Error: 9.556 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:101:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc50"&gt;&lt;a name="Stacks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:101 --&gt;Stacks&lt;/h1&gt;
Subgroup: 2.9.15.7.11.13&lt;br /&gt;
Commas: 100/99, 105/104, 144/143, 196/195&lt;br /&gt;
Svalname: 11&amp;amp;30&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/7 = 438.977&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -1 6 -2|, &amp;lt;0 5 3 6 -4 9|]&lt;br /&gt;
EDOs: 11, 30, 41&lt;br /&gt;
Error: 6.947 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks11"&gt;Eleven note note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks19"&gt;Nineteen note note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:103:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc51"&gt;&lt;a name="Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:103 --&gt;Tutone&lt;/h1&gt;
Subgroup: 2.9.5.7.11&lt;br /&gt;
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 193.937&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
EDOs: 25, 31, 68b, 99b&lt;br /&gt;
Error: 7.047 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:221:&amp;lt;img src=&amp;quot;/file/view/tutone_99edo.png/284592004/tutone_99edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/tutone_99edo.png/284592004/tutone_99edo.png" alt="tutone_99edo.png" title="tutone_99edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:221 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:105:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc52"&gt;&lt;a name="Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:105 --&gt;Leantone&lt;/h1&gt;
Subgroup: 2.9.5.7.11&lt;br /&gt;
Commas: 45/44, 56/55, 81/80&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/meanenneadecal"&gt;meanenneadecal&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 192.500&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 -6|, &amp;lt;0 1 2 5 3|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 31, 56, 81&lt;br /&gt;
Error: 20.338 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:222:&amp;lt;img src=&amp;quot;/file/view/leantone_81edo.png/284593104/leantone_81edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/leantone_81edo.png/284593104/leantone_81edo.png" alt="leantone_81edo.png" title="leantone_81edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:222 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:107:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc53"&gt;&lt;a name="Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:107 --&gt;Score&lt;/h1&gt;
Subgroup: 2.7.11.13&lt;br /&gt;
Commas: 343/338, 847/832&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~11/8 = 540.099&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 1|, &amp;lt;0 4 1 6|]&lt;br /&gt;
EDOs: 5, 7, 9, 11, 20&lt;br /&gt;
Error: 8.052 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:223:&amp;lt;img src=&amp;quot;http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg" alt="score_20edo.jpg" title="score_20edo.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:223 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/score7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/score9"&gt;Nine note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/score11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:109:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc54"&gt;&lt;a name="Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:109 --&gt;Supra&lt;/h1&gt;
Subgroup: 2.3.7.11&lt;br /&gt;
Commas: 64/63, 99/98&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth"&gt;suprapyth&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 707.192&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c&lt;br /&gt;
Error: 9.795 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:224:&amp;lt;img src=&amp;quot;/file/view/supra_56edo.png/284870878/supra_56edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/supra_56edo.png/284870878/supra_56edo.png" alt="supra_56edo.png" title="supra_56edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:224 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:111:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc55"&gt;&lt;a name="Supra-Supraphon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:111 --&gt;Supraphon&lt;/h2&gt;
Subgroup: 2.3.7.11.13&lt;br /&gt;
Commas: 64/63, 78/77, 99/98&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~3/2 = 706.137&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 6 13 18|, &amp;lt;0 1 -2 -6 -9|]&lt;br /&gt;
EDOs: 5, 7, 12, 17&lt;br /&gt;
Error: 10.534 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:113:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc56"&gt;&lt;a name="Supra-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:113 --&gt;Machine&lt;/h2&gt;
Subgroup: 2.9.7.11&lt;br /&gt;
Commas: 64/63, 99/98&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 214.384&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -1 -3|]&lt;br /&gt;
EDOs: 5, 6, 11, 17, 28&lt;br /&gt;
Error: 10.100 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:225:&amp;lt;img src=&amp;quot;/file/view/machine_28edo.png/284594814/machine_28edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/machine_28edo.png/284594814/machine_28edo.png" alt="machine_28edo.png" title="machine_28edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:225 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine6"&gt;Six note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:115:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc57"&gt;&lt;a name="Antikythera"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:115 --&gt;Antikythera&lt;/h1&gt;
Subgroup: 2.9.5.7&lt;br /&gt;
Commas: 50/49, 64/63&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/pajara"&gt;pajara&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 214.095&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;2 0 11 12|, &amp;lt;0 1 -1 -1|]&lt;br /&gt;
EDOS: 4, 6, 10, 16, 22, 28&lt;br /&gt;
Error: 11.508 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:226:&amp;lt;img src=&amp;quot;/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png" alt="antikythera_28edo.png" title="antikythera_28edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:226 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:117:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc58"&gt;&lt;a name="Deutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:117 --&gt;Deutone&lt;/h1&gt;
Subgroup: 2.9.5.7.13&lt;br /&gt;
Commas: 65/64, 81/80, 91/90&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family"&gt;meanpop&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~9/8 = 191.059&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -13 10|, &amp;lt;0 1 2 5 -2|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 44, 69&lt;br /&gt;
Error: 12.145 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:227:&amp;lt;img src=&amp;quot;/file/view/deutone_44edo.png/284596634/deutone_44edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/deutone_44edo.png/284596634/deutone_44edo.png" alt="deutone_44edo.png" title="deutone_44edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:227 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone7"&gt;seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:119:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc59"&gt;&lt;a name="Semaphore"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:119 --&gt;Semaphore&lt;/h1&gt;
Subgroup: 2.3.7&lt;br /&gt;
Comma: 49/48&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~7/6 = 250.385&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2|, &amp;lt;0 2 1|]&lt;br /&gt;
EDOs: 5, 9, 14, 19, 24&lt;br /&gt;
Error: 12.428&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:228:&amp;lt;img src=&amp;quot;/file/view/semaphore_24edo.png/337342626/semaphore_24edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/semaphore_24edo.png/337342626/semaphore_24edo.png" alt="semaphore_24edo.png" title="semaphore_24edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:228 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:121:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc60"&gt;&lt;a name="Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:121 --&gt;Augment&lt;/h1&gt;
Subgroup: 2.5.7.11&lt;br /&gt;
Commas: 56/55, 128/125&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Augmented%20family"&gt;augmented&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
POTE generator: ~8/7 = 228.275&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;:&lt;br /&gt;
Gencom map:&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;3 7 0 2|, &amp;lt;0 0 1 1|]&lt;br /&gt;
EDOs: 3, 6, 9, 15, 21&lt;br /&gt;
Error: 12.830 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:229:&amp;lt;img src=&amp;quot;/file/view/augment_21edo.png/284598188/augment_21edo.png&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/augment_21edo.png/284598188/augment_21edo.png" alt="augment_21edo.png" title="augment_21edo.png" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:229 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 00:23, 24 June 2025

A chromatic pair is a pair of mos scales in some rank-2 temperament (either a full p-limit temperament or a subgroup temperament) that are analogous to the familiar 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.

In the sections below, the pair temperaments are listed in order of increasing RMS error, which is an appropriate error measure for subgroups as well as full p-limit groups.

Terrain

See also: Subgroup temperaments § Terrain
terrain_3558edo.png
Terrain in 3558edo

Scales:

Music

Petrtri

See also: Subgroup temperaments § Petrtri
petrtri_385edo.png
Petrtri in 385edo

Scales:

Barton

"Barton" redirects here. For Jacob Barton's scale, see Barton (scale).
See also: The Jacobins § Barton

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

Tridec

See also: Subgroup temperaments § Tridec
tridec_235edo.png
Tridec in 235edo

Scales:

Nestoria

See also: Schismatic family § Nestoria (2.3.5.19)
nestoria_171edo.png
Nestoria in 171edo

Scales:

Orgone

Main article: Orgone
See also: Orgonia § Orgone
orgone_308edo.jpg
Orgone in 308edo

Scales:

Marveltwintri

See also: Subgroup temperaments § Marveltwintri
marveltwintri_321edo.png
Marveltwintri in 321edo

Scales:

Cata

Main article: Kleismic
See also: Kleismic family § Cata
cata_246edo.jpg
Cata in 246edo

Scales:

  • Cata7 – 7-tone albitonic scale
  • Cata11 – 11-tone mega-albitonic scale
  • Cata15 – 15-tone chromatic scale
  • Cata19 – 19-tone mega-chromatic scale

Bridgetown

See also: Subgroup temperaments § Bridgetown
bridgetown_29edo.png
Bridgetown in 29edo

Scales:

Music

Haumea

See also: Subgroup temperaments § Haumea

Scales:

Neutral

See also: Rastmic clan § Neutral
neutral_380edo.png
Neutral in 380edo

Scales:

Music

Slendric

Main article: Slendric
See also: Gamelismic clan #Slendric and No-fives subgroup temperaments #Slendric
slendric_190edo.jpg
Slendric in 190edo

Scales:

Huntington

See also: No-threes subgroup temperaments § Huntington
huntington_400edo.jpg
Huntington in 400edo

Scales:

Tobago

See also: Subgroup temperaments § Tobago

Scales:

Pepperoni

See also: Parapyth
See also: Subgroup temperaments § Pepperoni
pepperoni_271edo.png
Pepperoni in 271edo

Scales:

Wizz

See also: No-threes subgroup temperaments § Wizz

Scales:

  • Wizz6 – 6-tone haplotonic scale
  • Wizz10 – 10-tone albitonic scale
  • Wizz16 – 16-tone chromatic scale

Bossier

See also: No-threes subgroup temperaments § Bossier
bossier_225edo.jpg
Bossier in 225edo

Scales:

Penta a.k.a. mechanism

See also: Subgroup temperaments § Penta a.k.a. mechanism

Scales:

  • Penta5 – 5-tone haplotonic scale
  • Penta8 – 8-tone albitonic scale
  • Penta11 – 11-tone chromatic scale
  • Penta19 – 19-tone mega-chromatic scale

Bluebirds

See also: No-threes subgroup temperaments § Bluebirds

Scales:

Marveltri

See also: Subgroup temperaments § Marveltri

Scales:

Edson

See also: Subgroup temperaments § Edson

Scales:

  • Edson5 – 5-tone haplotonic scale
  • Edson7 – 7-tone albitonic scale
  • Edson12 – 12-tone chromatic scale
  • Edson17 – 17-tone mega-chromatic scale

Photia

See also: Schismatic family § Photia (2.3.5.17)
photia_65edo.png
Photia in 65edo

Scales:

Shoe a.k.a. llywelyn

See also: Llywelynsmic clan § Llywelyn a.k.a. shoe
shoe_37edo.jpg
Shoe in 37edo

Scales:

  • Shoe5 – 5-tone mini-haplotonic scale
  • Shoe6 – 6-tone haplotonic scale
  • Shoe11 – 11-tone albitonic scale
  • Shoe16 – 16-tone chromatic scale

Roulette

See also: Hemimean clan § Roulette
roulette_37edo.jpg
Roulette in 37edo

Scales:

Silver

See also: No-threes subgroup temperaments § Silver
silver_487edo.jpg
Silver in 487edo

Scales:

Baldy

See also: Subgroup temperaments § Baldy
baldy_147edo.jpg
Baldy in 147edo

Scales

  • Baldy6 – 6-tone haplotonic scale
  • Baldy11 – 11-tone albitonic scale
  • Baldy17 – 17-tone chromatic scale


Guanyintet

See also: Subgroup temperaments § Guanyintet

Scales:

Radon

See also: Gamelismic clan § Radon
radon_128edo.jpg
Radon in 128edo
  • Radon5 – 5-tone haplotonic scale
  • Radon11 – 11-tone albitonic scale
  • Radon16 – 16-tone chromatic scale

Gariberttet

See also: Subgroup temperaments § Gariberttet

Scales:

Namo

See also: Rastmic clan § Namo

Scales:

  • Namo7 – 7-tone haplotonic scale
  • Namo10 – 10-tone albitonic scale
  • Namo17 – 17-tone chromatic scale

Sentry

See also: Subgroup temperaments § Sentry

Scales:

Hemif

See also: No-fives subgroup temperaments § Hemif
hemif_58edo.jpg
Hemif in 58edo

Scales:

  • Hemif7 – 7-tone haplotonic scale
  • Hemif10 – 10-tone albitonic scale
  • Hemif17 – 17-tone chromatic scale

Garibaldi

Main article: Garibaldi temperament
See also: Schismatic family § Garibaldi
garibaldi_94edo.png
Garibaldi in 94edo

Scales:

Mabilic

See also: No-threes subgroup temperaments § Mabilic
mabila_66edo.jpg
Mabilic in 66edo

Scales:

Indium

See also: Subgroup temperaments § Indium
indium_253edo.png
Indium in 253edo

Scales:

Music

Starlingtet

See also: Subgroup temperaments § Starlingtet

Scales:

Lovecraft

See also: No-threes subgroup temperaments § Lovecraft
lovecraft_116edo.png
Lovecraft in 116edo

Scales:

Blackbirds

See also: No-threes subgroup temperaments § Blackbirds

Scales:

Laz

See also: Subgroup temperaments § Laz

Scales:

  • Laz5 – 5-tone haplotonic scale
  • Laz9 – 9-tone albitonic scale
  • Laz13 – 13-tone chromatic scale

Myna

Main article: Myna
See also: Starling temperaments § Myna
myna_89edo.jpg
Myna in 89edo

Scales:

  • Myna7 – 7-tone haplotonic scale
  • Myna11 – 11-tone albitonic scale
  • Myna15 – 15-tone chromatic scale

Greeley

See also: Subgroup temperaments § Greeley
greeley_100edo.png
Greeley in 100edo

Scales:

Music

Ammon

See also: Subgroup temperaments § Ammon
semidim_770edo.png
Ammon in 770edo

Scales:

  • Ammon8 – 8-tone albitonic scale
  • Ammon13 – 13-tone chromatic scale

Mothwelltri

See also: Subgroup temperaments § Mothwelltri

Scales:

Sulis

See also: Subgroup temperaments § Sulis

Scales:

  • Sulis7 – 7-tone haplotonic scale
  • Sulis10 – 10-tone albitonic scale
  • Sulis13 – 13-tone chromatic scale

Skwares

Main article: Squares
See also: No-fives subgroup temperaments § Skwares
skwares_206edo.png
Skwares in 206edo

Scales:

Orwell

Main article: Orwell
See also: Semicomma family § Orwell
orwell_84edo.png
Orwell in 84edo

Scales:

Magicaltet

See also: Subgroup temperaments § Magicaltet

Scales:

Magic

Main article: Magic
See also: Magic family § Magic
magic_145edo.jpg
Magic in 145edo

Scales:

  • Magic7 – 7-tone haplotonic scale
  • Magic10 – 10-tone albitonic scale
  • Magic13 – 13-tone chromatic scale
  • Magic16 – 16-tone mega-chromatic scale

Kiribati

See also: Subgroup temperaments § Kiribati

Scales:

Score

See also: No-threes subgroup temperaments § Score
score_20edo.jpg
Score in 20edo

Scales:

  • Score5 – 5-tone haplotonic scale
  • Score7 – 7-tone albitonic scale
  • Score9 – 9-tone mega-albitonic scale
  • Score11 – 11-tone chromatic scale

Sensi

Main article: Sensi
See also: Sensipent family § Sensi
sensi_46edo.jpg
Sensi in 46edo

Scales:

  • Sensi5 – 5-tone haplotonic scale
  • Sensi8 – 8-tone albitonic scale
  • Sensi11 – 11-tone mega-albitonic scale
  • Sensi19 – 19-tone chromatic scale

Sensation

Main article: Sensi
See also: Sensipent family § Sensi

Scales:

  • Sensi5 – 5-tone haplotonic scale
  • Sensi8 – 8-tone albitonic scale
  • Sensi11 – 11-tone mega-albitonic scale
  • Sensi19 – 19-tone chromatic scale

Meantone

Main article: Meantone
See also: Meantone family § Meantone
meantone_31edo.jpg
Meantone in 31edo

Scales:

Mohaha

See also: Rastmic clan § Mohaha
mohaha_131edo.png
Mohaha in 131edo

Scales:

Music:

Billy Stiltner

Mohoho

See also: Rastmic clan § Mohoho

Joan

See also: Subgroup temperaments § Joan

Scales:

  • Joan5 – 5-tone haplotonic scale
  • Joan7 – 7-tone albitonic scale
  • Joan9 – 9-tone mega-albitonic scale
  • Joan11 – 11-tone chromatic scale

Tutone

See also: Hemimean clan § Tutone
tutone_99edo.png
Tutone in 99edo

Scales:

Stacks

See also: Subgroup temperaments § Stacks (a.k.a. 2magic)

Scales:

Bleu

See also: No-fives subgroup temperaments § Bleu

Scales:

  • Bleu8 – 8-tone haplotonic scale
  • Bleu9 – 9-tone albitonic scale
  • Bleu17 – 17-tone chromatic scale

Sephiroth

See also: No-threes subgroup temperaments § Sephiroth

Scales:

Archy

Main article: Superpyth
See also: Archytas clan § Archy

Scales:

  • Archy5 – 5-tone haplotonic scale
  • Archy7 – 7-tone albitonic scale
  • Archy12 – 12-tone chromatic scale

Supra

Main article: Superpyth
See also: Archytas clan § Supra
supra_56edo.png
Supra in 56edo

Scales:

Supraphon

Main article: Superpyth
See also: Archytas clan § Supraphon

Suhajira

See also: Archytas clan § Suhajira

Scales:

Machine

See also: Subgroup temperaments § Machine
machine_28edo.png
Machine in 28edo

Scales:

Deutone

See also: Hemimean clan § Deutone
deutone_44edo.png
Deutone in 44edo

Scales:

Negra

Main article: Negri
See also: Marvel temperaments § Negri

Porkypine

Main article: Porcupine
See also: Porcupine family § Porcupine

Scales:

Skateboard

See also: Subgroup temperaments § Skateboard

Scales:

Augment

See also: No-threes subgroup temperaments § Augment
augment_21edo.png
Augment in 21edo

Scales:

Semaphore

Main article: Semaphore and godzilla
See also: Semaphoresmic clan § Semaphore
semaphore_24edo.png
Semaphore in 24edo

Scales:

Kryptonite

See also: Subgroup temperaments § Kryptonite

Scales:

Oregon

See also: Orgonia § Oregon

Scales:

Antikythera

See also: Jubilismic clan § Antikythera
antikythera_28edo.png
Antikythera in 28edo

Scales:

Glacial

See also: Subgroup temperaments § Glacial

Scales:

Leantone

See also: Hemimean clan § Leantone
leantone_81edo.png
Leantone in 81edo

Scales:

Notes

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