Xenharmonic Wiki

Chromatic pairs: Difference between revisions

← Older edit
VisualWikitext
Wikispaces>genewardsmith
**Imported revision 345704774 - Original comment: **
Tags: Mobile edit Mobile web edit
 
(230 intermediate revisions by 23 users not shown)
Line 1: Line 1:
<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>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-06-15 18:09:33 UTC</tt>.<br>
: The original revision id was <tt>345704774</tt>.<br>
: The revision comment was: <tt></tt><br>
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]]
[[media type="custom" key="11052942"]]
----


=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]]


[[xenharmonic/POTE generator|POTE generator]]: ~10/9 = 182.462
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]


Map: [&lt;3 0 -4|, &lt;0 1 2|]
Scales:  
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
* [[Terrain9]] – 9-tone albitonic scale
Error: 0.0443 cents
* [[Terrain15]] – 15-tone chromatic scale


[[Gencom]]: [63/50 10/9; 250047/250000]
; Music
Gencom map: [&lt;3 10/9 -7/9 2/9|, &lt;0 -2/3 -1/3 2/3|]
* ''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]


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


=Petrtri=  
== Barton ==
Subgroup: 2.11/5.13/5
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
Comma: 2200/2197
{{See also| The Jacobins #Barton }}
Svalname: 3&amp;5


POTE generator: ~13/10 = 455.062
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


Map: [&lt;1 0 1|, &lt;0 3 1|]
== Tridec ==
EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c
{{See also| Subgroup temperaments #Tridec }}
Error: 0.6258 cents


[[image:petrtri_385edo.png]]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]


[[xenharmonic/petrtri5|Five note haplotonic scale]]
Scales:
[[xenharmonic/petrtri8|Eight note albitonic scale]]
* [[Tridec8]] – 8-tone albitonic scale
[[xenharmonic/petrtri13|Thirteen note chromatic scale]]
* [[Tridec13]] – 13-tone chromatic scale


=Orgone=  
== Nestoria ==
Subgroup: 2.7.11
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
Commas: 65536/65219
Svals: 4&amp;7


POTE generator: ~77/64 = 323.372
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]


Map: [&lt;1 2 4|, &lt;0 3, -2|]
Scales:  
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308
* [[Nestoria7]] – 7-tone albitonic scale
Error: 0.7313
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


[[image:orgone_308edo.jpg]]
== Orgone ==
{{Main| Orgone }}
{{See also| Orgonia #Orgone }}


[[xenharmonic/orgone7|Seven note albitonic scale]]
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
[[xenharmonic/orgone11|Eleven note chromatic scale]]
[[xenharmonic/orgone15|Fifteen note mega chromatic scale]]


=Bridgetown=
Scales:  
Subgroup: 2.3.11/5.13/5
* [[Orgone7]] – 7-tone albitonic scale
Commas: 352/351, 676/675
* [[Orgone11]] – 11-tone chromatic scale
Sval name: 5&amp;24
* [[Orgone15]] – 15-tone mega-chromatic scale
Related temperament: [[xenharmonic/The Archipelago|barabados]]


POTE generator: ~15/13 = 248.285
== Marveltwintri ==
{{See also| Subgroup temperaments #Marveltwintri }}


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
EDOs: 5, 9, 14, 19, 24, 29
Error: 0.8996 cents


[[image:bridgetown_29edo.png]]
Scales:
* [[Marveltwintri7]] – 7-tone albitonic scale
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


[[xenharmonic/bridgetown9|Nine note albitonic scale]]
== Cata ==
[[xenharmonic/bridgetown14|Fourteen note chromatic scale]]
{{Main| Kleismic }}
{{See also| Kleismic family #Cata }}


==Music==
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
&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]]
&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]]


=Cata=
Scales:
Subgroup: 2.3.5.13
* [[Cata7]] – 7-tone albitonic scale
Commas: 325/324, 625/624
* [[Cata11]] – 11-tone mega-albitonic scale
Sval name: 15&amp;19
* [[Cata15]] – 15-tone chromatic scale
Related temperament: [[xenharmonic/Kleismic family|catakleismic]]
* [[Cata19]] – 19-tone mega-chromatic scale


POTE generator: ~6/5 = 317.076
== Bridgetown ==
{{See also| Subgroup temperaments #Bridgetown }}


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
Error: 0.9355 cents


[[image:xenharmonic/cata_246edo2.jpg]]
Scales:  
[[xenharmonic/cata7|Seven note albitonic scale]]
* [[Bridgetown9]] – 9-tone albitonic scale
[[xenharmonic/cata11|Eleven note mega albitonic scale]]
* [[Bridgetown14]] – 14-tone chromatic scale
[[xenharmonic/cata15|Fifteen note chromatic scale]]
[[xenharmonic/cata19|Nineteen note mega chromatic scale]]


=Neutraltet=
; Music
Subgroup: 2.3.11
* [https://web.archive.org/web/20201127014201/http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 ''Paint in the Water 29''] (archived 2020) by [[Igliashon Jones]]
Commas: 243/242
* ''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
Svalname: 7&amp;17


POTE generator: ~11/9 = 350.525
== Haumea ==
{{See also| Subgroup temperaments #Haumea }}


Map: [&lt;1 1 2|, &lt;0 2 5|]
Scales:  
EDOs: 7, 17, 24, 65, 89, 202, 291, 380
* [[Haumea5]] – 5-tone haplotonic scale
Error: 1.007
* [[Haumea9]] – 9-tone albitonic scale
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


[[image:neutraltet_380edo.png]]
== Neutral ==
{{See also| Rastmic clan #Neutral }}


[[xenharmonic/neutraltet7|Seven note albitonic scale]]
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
[[xenharmonic/neutraltet10|Ten note chromatic scale]]
[[xenharmonic/neutraltet17|Seventeen note mega chromatic scale]]


=Tridec=
Scales:
Subgroup: 2.7/5.11/5.13/5
* [[Neutral7]] – 7-tone albitonic scale
Commas: 847/845, 1001/1000
* [[Neutral10]] – 10-tone chromatic scale
Sval name: 5&amp;8
* [[Neutral17]] – 17-tone mega-chromatic scale


POTE generator: ~13/10 = 454.461
; Music
* [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 2 0 1|, &lt;0 -4 3 1|]
== Slendric ==
EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c
{{Main| Slendric }}
Error: 1.057
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


[[image:tridec_235edo.png]]
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]


[[xenharmonic/Tridec8|Eight note albitonic scale]]
Scales:
[[xenharmonic/Tridec13|Thirteen note chromatic scale]]
* [[Slendric5]] – 5-tone haplotonic scale
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


=Pepperoni=  
== Huntington ==
Subgroup: 2.3.11/7.13/7
{{See also| No-threes subgroup temperaments #Huntington }}
Commas: 352/351, 364/363
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.


POTE generator: ~3/2 = 704.052
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
Scales:  
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
* [[Huntington7]] – 7-tone haplotonic scale
Error: 1.298 cents
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


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


[[xenharmonic/pepperoni7|Seven note albitonic scale]]
Scales:
[[xenharmonic/pepperoni12|Twelve note chromatic scale]]
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


=Slendric=  
== Pepperoni ==
Subgroup: 2.3.7
{{See also| Parapyth }}
Comma: 1029/1024
{{See also| Subgroup temperaments #Pepperoni }}
Sval name: 5&amp;21


POTE generator: ~8/7 = 233.688
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]


Map: [&lt;1 1 3|, &lt;0 3 -1|]
Scales:  
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
* [[Pepperoni7]] – 7-tone albitonic scale
Error: 1.109 cents
* [[Pepperoni12]] – 12-tone chromatic scale


[[image:xenharmonic/slendric_190edo.jpg]]
== Wizz ==
{{See also| No-threes subgroup temperaments #Wizz }}


[[xenharmonic/slendric5|Five note haplotonic scale]]
Scales:
[[xenharmonic/slendric6|Six note haplotonic scale]]
* [[Wizz6]] – 6-tone haplotonic scale
[[xenharmonic/slendric11|Eleven note albitonic scale]]
* [[Wizz10]] – 10-tone albitonic scale
[[xenharmonic/slendric16|Sixteen note chromatic scale]]
* [[Wizz16]] – 16-tone chromatic scale


==Music==  
== Bossier ==
&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;
{{See also| No-threes subgroup temperaments #Bossier }}
&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;
by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]


=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


POTE generator: ~6/5 = 317.755
Scales:  
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


Map: [&lt;1 0 2|, &lt;0 1 -2|]
== Penta a.k.a. mechanism ==
EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}
Error: 1.413 cents


[[image:marveltwintri_321edo.png]]
Scales:
* [[Penta5]] – 5-tone haplotonic scale
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


[[xenharmonic/marveltwintri7|Seven note albitonic scale]]
== Bluebirds ==
[[xenharmonic/marveltwintri11|Eleven note chromatic scale]]
{{See also| No-threes subgroup temperaments #Bluebirds }}
[[xenharmonic/marveltwintri15|Fifteen note mega chromatic scale]]


=Nestoria=
Scales:  
Subgroup: 2.3.5.19
* [[Bluebirds6]] – 6-tone haplotonic scale
Commas: 361/360, 513/512
* [[Bluebirds7]] – 7-tone albitonic scale
Sval name: 12&amp;29
* [[Bluebirds13]] – 13-tone chromatic scale
Related temperament: [[xenharmonic/Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.746
== Marveltri ==
{{See also| Subgroup temperaments #Marveltri }}


Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
* [[Marveltri7]] – 7-tone albitonic scale
Error: 1.819 cents
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


[[image:nestoria_171edo.png]]
== Edson ==
{{See also| Subgroup temperaments #Edson }}


[[xenharmonic/nestoria7|Seven note albitonic scale]]
Scales:
[[xenharmonic/nestoria12|Twelve note chromatic scale]]
* [[Edson5]] – 5-tone haplotonic scale
[[xenharmonic/nestoria17|Seventeen note mega chromatic scale]]
* [[Edson7]] – 7-tone albitonic scale
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


=Marveltri=  
== Photia ==
Subgroup: 2.5.9/7
{{See also| Schismatic family #Photia (2.3.5.17) }}
Comma: 225/224
Sval name: 3&amp;13
Related temperaments: marvel, 22&amp;47, magic


POTE generator: ~5/4 = 382.618
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]


Map: [&lt;1 0 5|, &lt;0 1 -2|]
Scales:  
EDOs: 12, 13, 16, 19, 22, 47, 69
* [[Photia7]] – 7-tone albitonic scale
Error: 2.043 cents
* [[Photia12]] – 12-tone chromatic scale


[[xenharmonic/marveltri7|Seven note albitonic scale]]
== Shoe a.k.a. llywelyn ==
[[xenharmonic/marveltri10|Ten note chromatic scale]]
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}
[[xenharmonic/marveltri13|Thirteen note mega chromatic scale]]


=Penta=
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
Subgroup: 2.9.7.11
Commas: 896/891, 26411/26244
Svalname: 8&amp;11


POTE generator: ~9/7 = 438.465
Scales:
* [[Shoe5]] – 5-tone mini-haplotonic scale
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]
== Roulette ==
EDOs: 8, 11, 30, 41, 52
{{See also | Hemimean clan #Roulette }}
Error: 2.260


[[xenharmonic/penta5|Five note haplotonic scale]]
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
[[xenharmonic/penta9|Nine note albitonic scale]]
[[xenharmonic/penta13|Thirteen chromatic note scale]]
[[xenharmonic/penta17|Seventeen note mega chromatic scale]]


=Guanyintet=
Scales:
Subgroup: 2.5.7/3.11/3
* [[Roulette6]] – 6-tone haplotonic scale
Commas: 176/175, 540/539
* [[Roulette7]] – 7-tone albitonic scale
Svalname: 4&amp;9
* [[Roulette13]] – 13-tone chromatic scale
Related temperaments: guanyin, orwell
* [[Roulette19]] – 19-tone mega-chromatic scale


POTE generator: ~7/6 = 269.619
== Silver ==
{{See also | No-threes subgroup temperaments #Silver }}


Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]
EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd
Error: 2.533 cents


[[xenharmonic/guanyintet5|Five note haplotonic scale]]
Scales:
[[xenharmonic/guanyintet9|Nine note albitonic scale]]
* [[Silver7]] – 7-tone haplotonic scale
[[xenharmonic/guanyintet13|Thirteen note chromatic scale]]
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


=Photia=  
== Baldy ==
Subgroup: 2.3.5.17.19
{{See also| Subgroup temperaments #Baldy }}
Commas: 171/170, 256/255, 324/323
Sval name: 12&amp;41
Related temperament: [[xenharmonic/Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.470
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
Scales
EDOs: 7, 12, 17, 29, 41, 53, 65
* [[Baldy6]] – 6-tone haplotonic scale
Error: 3.457 cents
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


[[image:photia_65edo.png]]


[[xenharmonic/photia7|Seven note albitonic scale]]
== Guanyintet ==
[[xenharmonic/photia12|Twelve note chromatic scale]]
{{See also | Subgroup temperaments #Guanyintet }}


=Huntington=
Scales:
Subgroup: 2.5.7.13
* [[Guanyintet5]] – 5-tone haplotonic scale
Commas: 640/637, 10985/10976
* [[Guanyintet9]] – 9-tone albitonic scale
Sval name: 10&amp;27
* [[Guanyintet13]] – 13-tone chromatic scale


POTE generator: ~16/13 = 357.002
== Radon ==
{{See also| Gamelismic clan #Radon }}


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
Error: 2.1001 cents


[[image:huntington_400edo.jpg]]
* [[Radon5]] – 5-tone haplotonic scale
* [[Radon11]] – 11-tone albitonic scale
* [[Radon16]] – 16-tone chromatic scale


[[xenharmonic/huntington7|Seven note haplotonic scale]]
== Gariberttet ==
[[xenharmonic/huntington10|Ten note albitonic scale]]
{{See also | Subgroup temperaments #Gariberttet }}
[[xenharmonic/huntington17|Seventeen note chromatic scale]]


=Shoe=
Scales:
Subgroup: 2.5.7.11.13
* [[Gariberttet5]] – 5-tone haplotonic scale
Commas: 176/175, 640/637, 847/845
* [[Gariberttet9]] – 9-tone albitonic scale
Sval name: 16&amp;21
* [[Gariberttet13]] – 13-tone chromatic scale


POTE generator: ~8/7 = 227.108
== Namo ==
{{See also| Rastmic clan #Namo }}


Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]
Scales:  
EDOs: 16, 21, 37
* [[Namo7]] – 7-tone haplotonic scale
Error: 2.488
* [[Namo10]] – 10-tone albitonic scale
* [[Namo17]] – 17-tone chromatic scale


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


[[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
Scales:
[[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
* [[Sentry5]] – 5-tone haplotonic scale
[[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
* [[Sentry8]] – 8-tone albitonic scale
[[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]
* [[Sentry11]] – 11-tone chromatic scale


=Roulette=  
== Hemif ==
Subgroup: 2.5.7.11.13
{{See also| No-fives subgroup temperaments #Hemif }}
Commas: 176/175, 1375/1372, 640/637
Sval name: 6&amp;25
Related temperament: [[xenharmonic/Würschmidt family|Hemiwürschmidt]]


POTE generator: ~28/25 = 194.594
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]


Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 37
* [[Hemif7]] – 7-tone haplotonic scale
Error: 2.555 cents
* [[Hemif10]] – 10-tone albitonic scale
* [[Hemif17]] – 17-tone chromatic scale


[[image:xenharmonic/roulette_37edo.jpg]]
== Garibaldi ==
{{Main| Garibaldi temperament }}
{{See also| Schismatic family #Garibaldi }}


[[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
[[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]


=Garibaldi=
Scales:  
Group: 2.3.5.7
* [[Garibaldi12]] – 12-tone albitonic scale
Commas: 225/224, 3125/3087
* [[Garibaldi17]] – 17-tone chromatic scale
Val name: 12&amp;29


POTE generator: ~3/2 = 702.085
== Mabilic ==
{{See also| No-threes subgroup temperaments #Mabilic }}


Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
EDOs: 7, 12, 17, 29, 41, 53, 94
Error: 2.834


[[image:garibaldi_94edo.png]]
Scales:
* [[Mabilic7]] – 7-tone haplotonic scale
* [[Mabilic9]] – 9-tone albitonic scale
* [[Mabilic16]] – 16-tone chromatic scale


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


=Baldy=
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
Subgroup: 2.9.5.7.13
Commas: 225/224, 325/324, 640/637
Sval name: 6&amp;35
Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]


POTE generator: ~9/8 = 204.090
Scales:  
* [[Indium8]] – 8-tone albitonic scale
* [[Indium17]] – 17-tone chromatic scale


Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
; Music
EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]]
* ''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]
Error: 2.617 cents


[[image:baldy_147edo.jpg]]
== Starlingtet ==
{{See also | Subgroup temperaments #Starlingtet }}


[[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
Scales:
[[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
* [[Starlingtet4]] – 4-tone haplotonic scale
[[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
* [[Starlingtet7]] – 7-tone albitonic scale
* [[Starlingtet11]] – 11-tone chromatic scale


=Bossier=  
== Lovecraft ==
Subgroup: 2.7.11.13
{{See also | No-threes subgroup temperaments #Lovecraft }}
Commas: 1573/1568, 15488/15379
Sval name: 3&amp;17


POTE generator: ~14/11 = 421.309
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]


Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
Scales:  
EDOs: 17, 20, 37, 57, 94, 225
* [[Lovecraft5]] – 5-tone haplotonic scale
Error: 2.665 cents
* [[Lovecraft9]] – 9-tone albitonic scale
* [[Lovecraft13]] – 13-tone chromatic scale


[[image:bossier_225edo.jpg]]
== Blackbirds ==
{{See also | No-threes subgroup temperaments #Blackbirds }}


[[xenharmonic/bossier8|Eight note albitonic scale]]
Scales:
[[xenharmonic/bossier11|Eleven note chromatic scale]]
* [[Blackbirds8]] – 8-tone albitonic scale
[[xenharmonic/bossier14|Fourteen note mega chromatic scale]]
* [[Blackbirds12]] – 12-tone chromatic scale
* [[Blackbirds16]] – 16-tone mega-chromatic scale


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


POTE generator: ~8/7 = 234.381
Scales:  
* [[Laz5]] – 5-tone haplotonic scale
* [[Laz9]] – 9-tone albitonic scale
* [[Laz13]] – 13-tone chromatic scale


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


[[image:radon_128edo.jpg]]
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]


[[xenharmonic/radon5|Five note haplotonic scale]]
Scales:
[[xenharmonic/radon11|Eleven note albitonic scale]]
* [[Myna7]] – 7-tone haplotonic scale
[[xenharmonic/radon16|Sixteen note chromatic scale]]
* [[Myna11]] – 11-tone albitonic scale
* [[Myna15]] – 15-tone chromatic scale


=Myna=  
== Greeley ==
Group: 2.3.5.7
{{See also| Subgroup temperaments #Greeley }}
Commas: 126/125, 1728/1715
Val name: 4&amp;27


POTE generator: ~6/5 = 310.146
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]


Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
Scales:  
EDOs: 4, 27, 31, 58, 89
* [[Greeley8]] – 8-tone albitonic scale
Error: 3.310 cents
* [[Greeley15]] – 15-tone chromatic scale


[[image:myna_89edo.jpg]]
; 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]


[[xenharmonic/myna7|Seven note haplotonic scale]]
== Ammon ==
[[xenharmonic/myna11|Eleven note albitonic scale]]
{{See also| Subgroup temperaments #Ammon }}
[[xenharmonic/myna15|Fifteen note chromatic scale]]


=Silver=
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
Subgroup: 2.5.7.13.17
Commas: 170/169, 640/637, 5525/5488
Sval name: 10&amp;27


POTE generator: ~13/8 = 842.711
Scales:  
* [[Ammon8]] – 8-tone albitonic scale
* [[Ammon13]] – 13-tone chromatic scale


Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
== Mothwelltri ==
EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|487]]
{{See also| Subgroup temperaments #Mothwelltri }}
Error: 3.437


[[image:silver_487edo.jpg]]
Scales:
* [[Mothwelltri5]] – 5-tone haplotonic scale
* [[Mothwelltri9]] – 9-tone albitonic scale
* [[Mothwelltri13]] – 13-tone chromatic scale


[[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]]
== Sulis ==
[[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
{{See also| Subgroup temperaments #Sulis }}
[[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]


=Mabila=
Scales:
Subgroup: 2.5.7
* [[Sulis7]] – 7-tone haplotonic scale
Comma: 1071875/1048576
* [[Sulis10]] – 10-tone albitonic scale
Sval name: 7&amp;9
* [[Sulis13]] – 13-tone chromatic scale


POTE generator: ~175/128 = 527.236
== Skwares ==
{{Main| Squares }}
{{See also| No-fives subgroup temperaments #Skwares }}


Map: [&lt;1 1 5|, &lt;0 3 -5|]
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
EDOs: 7, 9, 16, 25, 41, 66
Error: 3.560


[[image:mabila_66edo.jpg]]
Scales:
* [[Skwares8]] – 8-tone albitonic scale
* [[Skwares11]] – 11-tone mega-albitonic scale
* [[Skwares14]] – 14-tone chromatic scale


[[xenharmonic/mabila7|Seven note haplotonic scale]]
== Orwell ==
[[xenharmonic/mabila9|Nine note albitonic scale]]
{{Main| Orwell }}
[[xenharmonic/mabila16|Sixteen note chromatic scale]]
{{See also| Semicomma family #Orwell }}


=Meantone=
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
Group: 2.3.5.7
Commas: 81/80, 126/125
Val name: 12&amp;19


POTE generator: 696.495
Scales:  
* [[Orwell5]] – 5-tone haplotonic scale
* [[Orwell9]] – 9-tone albitonic scale
* [[Orwell13]] – 13-tone chromatic scale


Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
== Magicaltet ==
EDOs: 5, 7, 12, 19, 31, 81, 112, 143
{{See also| Subgroup temperaments #Magicaltet }}
Error: 3.585


[[image:meantone_31edo.jpg]]
Scales:
* [[Magicaltet7]] – 7-tone albitonic scale
* [[Magicaltet11]] – 11-tone chromatic scale
* [[Magicaltet15]] – 15-tone mega-chromatic scale


[[xenharmonic/meantone5|Five note haplotonic scale]]
== Magic ==
[[xenharmonic/meantone7|Seven note albitonic scale]]
{{Main| Magic }}
[[xenharmonic/meantone12|Twelve note chromatic scale]]
{{See also| Magic family #Magic }}


=Starlingtet=
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
Group: 2.5/3.7/3
Comma: 126/125
Svalname: 4&amp;15
Related temperaments: starling; becomes myna
POTE generator: ~6/5 = 311.213


Map: [&lt;1 0 -1|, &lt;0 1 3|]
Scales:  
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
* [[Magic7]] – 7-tone haplotonic scale
Error: 311.213
* [[Magic10]] – 10-tone albitonic scale
* [[Magic13]] – 13-tone chromatic scale
* [[Magic16]] – 16-tone mega-chromatic scale


[[xenharmonic/starlingtet4|Four note haplotonic scale]]
== Kiribati ==
[[xenharmonic/starlingtet7|Seven note albitonic scale]]
{{See also| Subgroup temperaments #Kiribati }}
[[xenharmonic/starlingtet11|Eleven note chromatic scale]]


=Indium=
Scales:  
Subgroup: 2.5/3.7/3.11/3
* [[Kiribati13]] – 13-tone chromatic scale
Commas: 3025/3024, 3125/3087
* [[Kiribati14]] – 14-tone chromatic scale
Sval name: 8&amp;33


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


Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
EDOs: 33, 41, 49, 57, 106, 204, 253
Error: 3.968 cents


[[image:indium_253edo.png]]
Scales:
* [[Score5]] – 5-tone haplotonic scale
* [[Score7]] – 7-tone albitonic scale
* [[Score9]] – 9-tone mega-albitonic scale
* [[Score11]] – 11-tone chromatic scale


[[xenharmonic/indium8|Eight note albitonic scale]]
== Sensi ==
[[xenharmonic/indium17|Seventeen note chromatic scale]]
{{Main| Sensi }}
{{See also| Sensipent family #Sensi }}


==Music==
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
&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
* [[Sensi5]] – 5-tone haplotonic scale
Commas: 100/99, 225/224, 245/243
* [[Sensi8]] – 8-tone albitonic scale
Val name: 19&amp;22
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


POTE generator: ~5/4 = 380.696
=== Sensation ===
{{Main| Sensi }}
{{See also| Sensipent family #Sensi }}


Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
Scales:  
EDOs: 19, 22, 41, 104, 145
* [[Sensi5]] – 5-tone haplotonic scale
Error: 4.489
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


[[image:xenharmonic/magic_145edo.jpg]]
== Meantone ==
{{Main| Meantone }}
{{See also| Meantone family #Meantone }}


[[xenharmonic/magic7|Seven note haplotonic scale]]
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
[[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]]
* [[Meantone5]] – 5-tone haplotonic scale
* [[Meantone7]] – 7-tone albitonic scale
* [[Meantone12]] – 12-tone chromatic scale


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


POTE generator: ~13/11 = 292.418
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]


Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]
Scales:  
EDOs: 29, 33, 37, 41, 78
* [[Mohaha7]] – 7-tone albitonic scale
Error: 4.473
* [[Mohaha10]] – 10-tone chromatic scale


[[xenharmonic/gariberttet5|Five note haplotonic scale]]
Music:
[[xenharmonic/gariberttet9|Nine note albitonic scale]]
; [[Billy Stiltner]]
[[xenharmonic/gariberttet13|Thirteen note chromatic scale]]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}


=Hemif=  
=== Mohoho ===
Subgroup: 2.3.7.11.13
{{See also| Rastmic clan #Mohoho }}
Commas: 144/143, 243/242, 364/363
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]


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


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
Scales:  
EDOs: 7, 10, 17, 24, 41, 58
* [[Joan5]] – 5-tone haplotonic scale
Error: 4.867 cents
* [[Joan7]] – 7-tone albitonic scale
* [[Joan9]] – 9-tone mega-albitonic scale
* [[Joan11]] – 11-tone chromatic scale


[[image:hemif_58edo.jpg]]
== Tutone ==
{{See also| Hemimean clan #Tutone }}


[[xenharmonic/hemif7|Seven note haplotonic scale]]
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
[[xenharmonic/hemif10|Ten note albitonic scale]]
[[xenharmonic/hemif17|Seventeen note chromatic scale]]


=Skwares=
Scales:
Subgroup: 2.3.7.11
* [[Tutone6]] – 6-tone haplotonic scale
Commas: 99/98, 243/242
* [[Tutone7]] – 7-tone albitonic scale
Related temperament: [[xenharmonic/Meantone family|squares]]
* [[Tutone13]] – 13-tone chromatic scale


POTE generator: ~9/7 = 425.244
== Stacks ==
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
Scales:  
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
* [[Stacks5]] – 5-tone haplotonic scale
Error: 4.942 cents
* [[Stacks8]] – 8-tone albitonic scale
* [[Stacks11]] – 11-tone chromatic scale
* [[Stacks19]] – 19-tone mega-chromatic scale


[[image:skwares_206edo.png]]
== Bleu ==
{{See also| No-fives subgroup temperaments #Bleu }}


[[xenharmonic/skwares8|Eight note albitonic scale]]
Scales:
[[xenharmonic/skwares11|Eleven note mega albitonic scale]]
* [[Bleu8]] – 8-tone haplotonic scale
[[xenharmonic/skwares14|Fourteen note chromatic scale]]
* [[Bleu9]] – 9-tone albitonic scale
* [[Bleu17]] – 17-tone chromatic scale


=Sensi=  
== Sephiroth ==
Group: 2.3.5.7
{{See also| No-threes subgroup temperaments #Sephiroth }}
Commas: 126/126, 245/243
Val name: 19&amp;27


POTE generator: ~9/7 = 443.383
Scales:  
* [[Sephiroth7]] – 7-tone haplotonic scale
* [[Sephiroth10]] – 10-tone albitonic scale
* [[Sephiroth13]] – 13-tone chromatic scale
* [[Sephiroth16]] – 16-tone mega-chromatic scale


Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
== Archy ==
EDOs: 5, 8, 11, 19, 27, 46
{{Main| Superpyth }}
Error: 5.019
{{See also| Archytas clan #Archy }}


[[image:xenharmonic/sensi_46edo.jpg]]
Scales:
* [[Archy5]] – 5-tone haplotonic scale
* [[Archy7]] – 7-tone albitonic scale
* [[Archy12]] – 12-tone chromatic scale


[[xenharmonic/sensi5|Five note haplotonic scale]]
=== Supra ===
[[xenharmonic/sensi8|Eight note albitonic scale]]
{{Main| Superpyth }}
[[xenharmonic/sensi11|Eleven note mega albitonic scale]]
{{See also| Archytas clan #Supra }}
[[xenharmonic/sensi19|Nineteen note chromatic scale]]


=Greeley=
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]
Subgroup: 2.5/3.7/3.11/3
Commas: 121/120, 126/125


POTE generator: ~11/10 = 156.055
Scales:  
* [[Supra7]] – 7-tone [[albitonic scale]]
* [[Supra12]] – 12-tone [[chromatic scale]]


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
=== Supraphon ===
EDOs: 8, 15, 23, 77, 100
{{Main| Superpyth }}
Error: 5.404 cents
{{See also| Archytas clan #Supraphon }}


[[image:greeley_100edo.png]]
== Suhajira ==
{{See also| Archytas clan #Suhajira }}


[[xenharmonic/greeley8|Eight note albitonic scale]]
Scales:
[[xenharmonic/greeley15|Fifteen note chromatic scale]]
* [[Suhajira7]] – 7-tone haplotonic scale
* [[Suhajira10]] – 10-tone albitonic scale
* [[Suhajira17]] – 17-tone chromatic scale


==Music==  
== Machine ==
&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
{{See also| Subgroup temperaments #Machine}}


=Semidim=
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
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
Scales:  
* [[Machine5]] – 5-tone haplotonic scale
* [[Machine6]] – 6-tone albitonic scale
* [[Machine11]] – 11-tone chromatic scale


Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
== Deutone ==
EDOs: 5, 8, 13, 21, 29, 37, 45
{{See also| Hemimean clan #Deutone }}
Error: 5.433 cents


[[image:semidim_770edo.png]]
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]


[[xenharmonic/semidim8|Eight note albitonic scale]]
Scales:
[[xenharmonic/semidim13|Thirteen note chromatic scale]]
* [[Deutone6]] – 6-tone haplotonic scale
* [[Deutone7]] – 7-tone albitonic scale
* [[Deutone13]] – 13-tone chromatic scale


=Orwell=  
== Negra ==
Group: 2.3.5.7.11
{{Main| Negri }}
Commas: 99/98, 121/120, 176/175
{{See also| Marvel temperaments #Negri }}
Val name: 9&amp;22


POTE generator: ~7/6 = 271.426
== Porkypine ==
{{Main| Porcupine }}
{{See also| Porcupine family #Porcupine }}


Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
Scales:  
EDOs: 9, 22, 31, 53, 84
* [[Porkypine7]] – 7-tone haplotonic scale
Error: 5.584
* [[Porkypine8]] – 8-tone albitonic scale
* [[Porkypine15]] – 15-tone chromatic scale


[[image:xenharmonic/orwell_84edo.png]]
== Skateboard ==
{{See also| Subgroup temperaments #Skateboard }}


[[xenharmonic/orwell5|Five note haplotonic scale]]
Scales:
[[xenharmonic/orwell9|Nine note albitonic scale]]
* [[Skateboard7]] – 7-tone haplotonic scale
[[xenharmonic/orwell13|Thirteen note chromatic scale]]
* [[Skateboard11]] – 11-tone albitonic scale
* [[Skateboard15]] – 15-tone chromatic scale


=Magicaltet=  
== Augment ==
Group: 2.5/3.7.11
{{See also| No-threes subgroup temperaments #Augment }}
Commas: 100/99, 385/384
Related temperaments: 4&amp;7&amp;15, magic


POTE generator: ~6/5 = 319.424
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]


Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]
Scales:  
EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd
* [[Augment6]] – 6-tone haplotonic scale
Error: 5.720 cents
* [[Augment9]] – 9-tone albitonic scale
* [[Augment12]] – 12-tone chromatic scale


[[xenharmonic/magicaltet7|Seven note albitonic scale]]
== Semaphore ==
[[xenharmonic/magicaltet11|Eleven note chromatic scale]]
{{Main| Semaphore and godzilla }}
[[xenharmonic/magicaltet15|Fifteen note mega scale]]
{{See also| Semaphoresmic clan #Semaphore }}


=Sentry=
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]
Group: 2.5/3.9/7
Commas: 245/243
Svalname: 3&amp;5
Related temperaments: sensi


POTE generator: ~9/7 = 438.574
Scales:  
* [[Semaphore5]] – 5-tone haplotonic scale
* [[Semaphore9]] – 9-tone albitonic scale
* [[Semaphore14]] – 14-tone chromatic scale


Map: [&lt;1 0 0|, &lt;0 2 1|]
== Kryptonite ==
EDOs: 8, 11, 30, 41, 52, 145b, 197bc
{{See also| Subgroup temperaments #Kryptonite }}
Error: 5.793 cents


[[xenharmonic/sentry5|Five note haplotonic scale]]
Scales:
[[xenharmonic/sentry8|Eight note albitonic scale]]
* [[Kryptonite9]] – 9-tone albitonic scale
[[xenharmonic/sentry11|Eleven note note chromatic scale]]
* [[Kryptonite10]] – 10-tone albitonic scale
* [[Kryptonite19]] – 19-tone mega-chromatic scale


=Mothwelltri=  
== Oregon ==
Group: 2.7/3.11
{{See also| Orgonia #Oregon }}
Comma: 99/98
Svalname: 1&amp;4
Related temperament: Orwell


POTE generator:~7/6 = 268.508
Scales:  
* [[Oregon7]] – 7-tone haplotonic scale
* [[Oregon11]] – 11-tone albitonic scale
* [[Oregon15]] – 15-tone chromatic scale


Map: [&lt;1 0 1|, &lt;0 1 2|]
== Antikythera ==
EDOs: 9, 40, 49c, 58c, 67c, 76c
{{See also| Jubilismic clan #Antikythera }}
Error: 6.119 cents


[[xenharmonic/mothwelltri5|Five note haplotonic scale]]
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
[[xenharmonic/mothwelltri9|Nine note albitonic scale]]
[[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]


=Lovecraft=
Scales:
Group: 2.11.13
* [[Antikythera6]] – 6-tone haplotonic scale
* [[Antikythera10]] – 10-tone albitonic scale
* [[Antikythera16]] – 16-tone chromatic scale


POTE generator: ~13/11 = 279.318
== Glacial ==
{{See also| Subgroup temperaments #Glacial }}


Map: [&lt;1 1 0|, &lt;0 2 3|]
Scales:  
EDOS: 13, 30, 43, 73, 116b
* [[Glacial6]] – 6-tone haplotonic scale
Error: 6.026 cents
* [[Glacial7]] – 7-tone albitonic scale
* [[Glacial13]] – 13-tone chromatic scale


[[image:lovecraft_116edo.png]]
== Leantone ==
{{See also| Hemimean clan #Leantone }}


[[xenharmonic/lovecraft5|Five note haplotonic scale]]
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]
[[xenharmonic/lovecraft9|Nine note albitonic scale]]
[[xenharmonic/lovecraft13|Thirteen note chromatic scale]]


=Bleu=
Scales:
Group: 2.3.7.11.13
* [[Leantone6]] – 6-tone haplotonic scale
Commas: 78/77, 99/98, 144/143
* [[Leantone7]] – 7-tone albitonic scale
Sval name: 9&amp;17
* [[Leantone13]] – 13-tone chromatic scale


POTE generator: ~13/12 = 139.990
== Notes ==


Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
[[Category:Lists of scales]]
EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
[[Category:Tempered scales| ]]
Error: 6.361 cents
[[Category:Listen]]
[[Category:Rank 2]]


[[image:blue_60edo.png]]
{{todo|cleanup}}
 
[[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
 
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]]
 
==Mohoho==
Subgroup: 2.3.5.11.13
Commas: 66/65, 81/80, 121/120
 
POTE generator: ~11/9 = 348.916
 
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
 
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
 
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
 
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
 
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
 
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
 
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
 
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
 
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
 
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
 
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
 
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:121:&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:121 --&gt;&lt;!-- ws:start:WikiTextTocRule:122: --&gt;&lt;a href="#Definitions"&gt;Definitions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:122 --&gt;&lt;!-- ws:start:WikiTextTocRule:123: --&gt; | &lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:123 --&gt;&lt;!-- ws:start:WikiTextTocRule:124: --&gt; | &lt;a href="#Petrtri"&gt;Petrtri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:124 --&gt;&lt;!-- ws:start:WikiTextTocRule:125: --&gt; | &lt;a href="#Orgone"&gt;Orgone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:125 --&gt;&lt;!-- ws:start:WikiTextTocRule:126: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:126 --&gt;&lt;!-- ws:start:WikiTextTocRule:127: --&gt;&lt;!-- ws:end:WikiTextTocRule:127 --&gt;&lt;!-- ws:start:WikiTextTocRule:128: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:128 --&gt;&lt;!-- ws:start:WikiTextTocRule:129: --&gt; | &lt;a href="#Neutraltet"&gt;Neutraltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:129 --&gt;&lt;!-- ws:start:WikiTextTocRule:130: --&gt; | &lt;a href="#Tridec"&gt;Tridec&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:130 --&gt;&lt;!-- ws:start:WikiTextTocRule:131: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:131 --&gt;&lt;!-- ws:start:WikiTextTocRule:132: --&gt; | &lt;a href="#Slendric"&gt;Slendric&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:132 --&gt;&lt;!-- ws:start:WikiTextTocRule:133: --&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="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:135 --&gt;&lt;!-- ws:start:WikiTextTocRule:136: --&gt; | &lt;a href="#Marveltri"&gt;Marveltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:136 --&gt;&lt;!-- ws:start:WikiTextTocRule:137: --&gt; | &lt;a href="#Penta"&gt;Penta&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:137 --&gt;&lt;!-- ws:start:WikiTextTocRule:138: --&gt; | &lt;a href="#Guanyintet"&gt;Guanyintet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:138 --&gt;&lt;!-- ws:start:WikiTextTocRule:139: --&gt; | &lt;a href="#Photia"&gt;Photia&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:139 --&gt;&lt;!-- ws:start:WikiTextTocRule:140: --&gt; | &lt;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:140 --&gt;&lt;!-- ws:start:WikiTextTocRule:141: --&gt; | &lt;a href="#Shoe"&gt;Shoe&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:141 --&gt;&lt;!-- ws:start:WikiTextTocRule:142: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:142 --&gt;&lt;!-- ws:start:WikiTextTocRule:143: --&gt; | &lt;a href="#Garibaldi"&gt;Garibaldi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:143 --&gt;&lt;!-- ws:start:WikiTextTocRule:144: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:144 --&gt;&lt;!-- ws:start:WikiTextTocRule:145: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:145 --&gt;&lt;!-- ws:start:WikiTextTocRule:146: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:146 --&gt;&lt;!-- ws:start:WikiTextTocRule:147: --&gt; | &lt;a href="#Myna"&gt;Myna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:147 --&gt;&lt;!-- ws:start:WikiTextTocRule:148: --&gt; | &lt;a href="#Silver"&gt;Silver&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:148 --&gt;&lt;!-- ws:start:WikiTextTocRule:149: --&gt; | &lt;a href="#Mabila"&gt;Mabila&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:149 --&gt;&lt;!-- ws:start:WikiTextTocRule:150: --&gt; | &lt;a href="#Meantone"&gt;Meantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:150 --&gt;&lt;!-- ws:start:WikiTextTocRule:151: --&gt; | &lt;a href="#Starlingtet"&gt;Starlingtet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:151 --&gt;&lt;!-- ws:start:WikiTextTocRule:152: --&gt; | &lt;a href="#Indium"&gt;Indium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:152 --&gt;&lt;!-- ws:start:WikiTextTocRule:153: --&gt;&lt;!-- ws:end:WikiTextTocRule:153 --&gt;&lt;!-- ws:start:WikiTextTocRule:154: --&gt; | &lt;a href="#Magic"&gt;Magic&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="#Gariberttet"&gt;Gariberttet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:156 --&gt;&lt;!-- ws:start:WikiTextTocRule:157: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:157 --&gt;&lt;!-- ws:start:WikiTextTocRule:158: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:158 --&gt;&lt;!-- ws:start:WikiTextTocRule:159: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:159 --&gt;&lt;!-- ws:start:WikiTextTocRule:160: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:160 --&gt;&lt;!-- ws:start:WikiTextTocRule:161: --&gt;&lt;!-- ws:end:WikiTextTocRule:161 --&gt;&lt;!-- ws:start:WikiTextTocRule:162: --&gt; | &lt;a href="#Semidim"&gt;Semidim&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:162 --&gt;&lt;!-- ws:start:WikiTextTocRule:163: --&gt; | &lt;a href="#Orwell"&gt;Orwell&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:163 --&gt;&lt;!-- ws:start:WikiTextTocRule:164: --&gt; | &lt;a href="#Magicaltet"&gt;Magicaltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:164 --&gt;&lt;!-- ws:start:WikiTextTocRule:165: --&gt; | &lt;a href="#Sentry"&gt;Sentry&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:165 --&gt;&lt;!-- ws:start:WikiTextTocRule:166: --&gt; | &lt;a href="#Mothwelltri"&gt;Mothwelltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:166 --&gt;&lt;!-- ws:start:WikiTextTocRule:167: --&gt; | &lt;a href="#Lovecraft"&gt;Lovecraft&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:167 --&gt;&lt;!-- ws:start:WikiTextTocRule:168: --&gt; | &lt;a href="#Bleu"&gt;Bleu&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:168 --&gt;&lt;!-- ws:start:WikiTextTocRule:169: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:169 --&gt;&lt;!-- ws:start:WikiTextTocRule:170: --&gt;&lt;!-- ws:end:WikiTextTocRule:170 --&gt;&lt;!-- ws:start:WikiTextTocRule:171: --&gt; | &lt;a href="#Stacks"&gt;Stacks&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:171 --&gt;&lt;!-- ws:start:WikiTextTocRule:172: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:172 --&gt;&lt;!-- ws:start:WikiTextTocRule:173: --&gt; | &lt;a href="#Leantone"&gt;Leantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:173 --&gt;&lt;!-- ws:start:WikiTextTocRule:174: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:174 --&gt;&lt;!-- ws:start:WikiTextTocRule:175: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:175 --&gt;&lt;!-- ws:start:WikiTextTocRule:176: --&gt;&lt;!-- ws:end:WikiTextTocRule:176 --&gt;&lt;!-- ws:start:WikiTextTocRule:177: --&gt;&lt;!-- ws:end:WikiTextTocRule:177 --&gt;&lt;!-- ws:start:WikiTextTocRule:178: --&gt; | &lt;a href="#Antikythera"&gt;Antikythera&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:178 --&gt;&lt;!-- ws:start:WikiTextTocRule:179: --&gt; | &lt;a href="#Deutone"&gt;Deutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:179 --&gt;&lt;!-- ws:start:WikiTextTocRule:180: --&gt; | &lt;a href="#Semaphore"&gt;Semaphore&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:180 --&gt;&lt;!-- ws:start:WikiTextTocRule:181: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:181 --&gt;&lt;!-- ws:start:WikiTextTocRule:182: --&gt;
&lt;!-- ws:end:WikiTextTocRule:182 --&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="http://xenharmonic.wikispaces.com/POTE%20generator"&gt;POTE generator&lt;/a&gt;: ~10/9 = 182.462&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;
Error: 0.0443 cents&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;
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:184:&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:184 --&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="Petrtri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:5 --&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;
POTE generator: ~13/10 = 455.062&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;
Error: 0.6258 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:185:&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:185 --&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:7:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Orgone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&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;
&lt;br /&gt;
POTE generator: ~77/64 = 323.372&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;
Error: 0.7313&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:186:&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:186 --&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:9:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Bridgetown"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&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;
POTE generator: ~15/13 = 248.285&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;
Error: 0.8996 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:187:&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:187 --&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:11:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Bridgetown-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&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:13:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&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;
POTE generator: ~6/5 = 317.076&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;
Error: 0.9355 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:188:&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:188 --&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:15:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Neutraltet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&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;
POTE generator: ~11/9 = 350.525&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;
Error: 1.007&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:189:&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:189 --&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:17:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Tridec"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&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;
POTE generator: ~13/10 = 454.461&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;
Error: 1.057&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:190:&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:190 --&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:19:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Pepperoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&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;
POTE generator: ~3/2 = 704.052&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;
Error: 1.298 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:191:&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:191 --&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:21:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Slendric"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:21 --&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;
POTE generator: ~8/7 = 233.688&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;
Error: 1.109 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:192:&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:192 --&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:23:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="Slendric-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:23 --&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:25:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Marveltwintri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:25 --&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;
POTE generator: ~6/5 = 317.755&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;
Error: 1.413 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:193:&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:193 --&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:27:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:27 --&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;
POTE generator: ~3/2 = 701.746&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;
Error: 1.819 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:194:&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:194 --&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:29:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Marveltri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:29 --&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;
POTE generator: ~5/4 = 382.618&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;
Error: 2.043 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:31:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Penta"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:31 --&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;
POTE generator: ~9/7 = 438.465&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;
Error: 2.260&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:33:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Guanyintet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:33 --&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;
POTE generator: ~7/6 = 269.619&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;
Error: 2.533 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:35:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:35 --&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;
POTE generator: ~3/2 = 701.470&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;
Error: 3.457 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:195:&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:195 --&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:37:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Huntington"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:37 --&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;
POTE generator: ~16/13 = 357.002&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;
Error: 2.1001 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:39:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Shoe"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:39 --&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;
POTE generator: ~8/7 = 227.108&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;
Error: 2.488&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:197:&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:197 --&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:41:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc20"&gt;&lt;a name="Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:41 --&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;
POTE generator: ~28/25 = 194.594&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;
Error: 2.555 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:198:&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:198 --&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:43:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:43 --&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;
POTE generator: ~3/2 = 702.085&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;
Error: 2.834&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:199:&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:199 --&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: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;
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:200:&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:200 --&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;
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:201:&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:201 --&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;
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:202:&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:202 --&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;
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:203:&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:203 --&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;
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:204:&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:204 --&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;
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:205:&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:205 --&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;
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:206:&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:206 --&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;
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;
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:207:&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:207 --&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;
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:208:&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:208 --&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;
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;
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:209:&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:209 --&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;
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:210:&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:210 --&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;
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:211:&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:211 --&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;
&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:212:&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:212 --&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;
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:213:&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:213 --&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;
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:214:&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:214 --&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;
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;
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;
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;
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:215:&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:215 --&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;
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:216:&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:216 --&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;
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:217:&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:217 --&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;h2&amp;gt; --&gt;&lt;h2 id="toc48"&gt;&lt;a name="Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:97 --&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;
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:99:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc49"&gt;&lt;a name="Stacks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:99 --&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;
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:101:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc50"&gt;&lt;a name="Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:101 --&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;
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:218:&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:218 --&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="Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:103 --&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;
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:219:&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:219 --&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:105:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc52"&gt;&lt;a name="Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:105 --&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;
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:220:&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:220 --&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:107:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc53"&gt;&lt;a name="Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:107 --&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;
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:221:&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:221 --&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:109:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc54"&gt;&lt;a name="Supra-Supraphon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:109 --&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;
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:111:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc55"&gt;&lt;a name="Supra-Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:111 --&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;
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:222:&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:222 --&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:113:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc56"&gt;&lt;a name="Antikythera"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:113 --&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;
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:223:&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:223 --&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:115:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc57"&gt;&lt;a name="Deutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:115 --&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;
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:224:&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:224 --&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:117:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc58"&gt;&lt;a name="Semaphore"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:117 --&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;
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:225:&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:225 --&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:119:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc59"&gt;&lt;a name="Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:119 --&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;
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:226:&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:226 --&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>
Retrieved from "https://en.xen.wiki/w/Chromatic_pairs"