Chromatic pairs: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-07-27 02:10:55 UTC</tt>.<br>
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The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]]
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=Definitions=
In the sections below, the pair temperaments are listed in order of increasing [[Tp tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full ''p''-limit groups.
By a //chromatic pair// is meant a pair of [[xenharmonic/MOSScales|MOS]] in some rank two temperament (which may often be a [[xenharmonic/Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing [[Lp tuning|POL2 error]], which is an appropriate error measure for subgroups as well as full p-limit groups.


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


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


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


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


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


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


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


=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


[[Lp tuning|POL2 generator]]: ~13/10 = 455.012
Scales:
* [[Barton5]] – 5-tone haplotonic scale
* [[Barton7]] – 7-tone albitonic scale
* [[Barton9]] – 9-tone mega-albitonic scale
* [[Barton11]] – 11-tone chromatic scale
* [[Barton13]] – 13-tone mega-chromatic scale


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


Map: [&lt;1 0 1|, &lt;0 3 1|]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]
EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c
[[Lp tuning#L2 tuning|L2 error]]: 0.1835 cents


[[image:petrtri_385edo.png]]
Scales:
* [[Tridec8]] – 8-tone albitonic scale
* [[Tridec13]] – 13-tone chromatic scale


[[xenharmonic/petrtri5|Five note haplotonic scale]]
== Nestoria ==
[[xenharmonic/petrtri8|Eight note albitonic scale]]
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
[[xenharmonic/petrtri13|Thirteen note chromatic scale]]


=Tridec=
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]
Subgroup: 2.7/5.11/5.13/5
Commas: 847/845, 1001/1000
Sval name: 5&amp;8


[[Lp tuning|POL2 generator]]: ~13/10 = 454.556
Scales:
* [[Nestoria7]] – 7-tone albitonic scale
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


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


Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc
[[Lp tuning#L2 tuning|L2 error]]: 0.3950 cents


[[image:tridec_235edo.png]]
Scales:
* [[Orgone7]] – 7-tone albitonic scale
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


[[xenharmonic/Tridec8|Eight note albitonic scale]]
== Marveltwintri ==
[[xenharmonic/Tridec13|Thirteen note chromatic scale]]
{{See also| Subgroup temperaments #Marveltwintri }}


=Orgone=
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
Subgroup: 2.7.11
Commas: 65536/65219
Svals: 4&amp;7
Related temperament: [[Gamelismic clan#superkleismic|superkleismic]]
[[Lp tuning|POL2 generator]]: ~77/64 = 323.372


[[Gencom]]: [2 77/64; 65536/65219]
Scales:
Gencom map: [&lt;1 0 0 2 4|, &lt;0 0 0 3 -2|]
* [[Marveltwintri7]] – 7-tone albitonic scale
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


Map: [&lt;1 2 4|, &lt;0 3 -2|]
== Cata ==
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc
{{Main| Kleismic }}
[[Lp tuning#L2 tuning|L2 error]]: 0.4222 cents
{{See also| Kleismic family #Cata }}


[[image:orgone_308edo.jpg]]
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]


[[xenharmonic/orgone7|Seven note albitonic scale]]
Scales:
[[xenharmonic/orgone11|Eleven note chromatic scale]]
* [[Cata7]] – 7-tone albitonic scale
[[xenharmonic/orgone15|Fifteen note mega chromatic scale]]
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


=Nestoria=  
== Bridgetown ==
Subgroup: 2.3.5.19
{{See also| Subgroup temperaments #Bridgetown }}
Commas: 361/360, 513/512
Sval name: 12&amp;29
Related temperament: [[xenharmonic/Schismatic family|schismatic]]


[[Lp tuning|POL2 generator]]: ~3/2 = 701.746
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]


[[Gencom]]: [2 3/2; 361/360 513/512]
Scales:
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 0 -3|]
* [[Bridgetown9]] – 9-tone albitonic scale
* [[Bridgetown14]] – 14-tone chromatic scale


Map: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]
; Music
EDOs: 7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d
* [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]]
[[Lp tuning#L2 tuning|L2 error]]: 0.4987 cents
* ''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


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


[[xenharmonic/nestoria7|Seven note albitonic scale]]
Scales:
[[xenharmonic/nestoria12|Twelve note chromatic scale]]
* [[Haumea5]] – 5-tone haplotonic scale
[[xenharmonic/nestoria17|Seventeen note mega chromatic scale]]
* [[Haumea9]] – 9-tone albitonic scale
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


=Bylun=
== Neutral ==
Subgroup: 2.5.7.11/9
{{See also| Rastmic clan #Neutral }}
Commas: 441/440, 3136/3125
Related temperaments: [[Hemimean family#Belobog|belobog]], hemithirds, hemiwürschmidt


[[Lp tuning|POL2 generator]]: ~28/25 = 193.550
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]


[[Gencom]]: [2 28/25; 441/440 3136/3125]
Scales:
Gencom map: [&lt;1 2/5 2 2 -1/5|, &lt;0 -16/5 2 5 8/5|]
* [[Neutral7]] – 7-tone albitonic scale
* [[Neutral10]] – 10-tone chromatic scale
* [[Neutral17]] – 17-tone mega-chromatic scale


Map: [&lt;1 0 -3 -9|, &lt;0 2 5 8|]
; Music
EDOs: 6, 25, 31, 180, 211, 242, 273, 304
* [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
[[Lp tuning#L2 tuning|L2 error]]: 0.5531 cents


=Marveltwintri=  
== Slendric ==
Subgroup: 2.5/3.13/9
{{Main| Slendric }}
Comma: 325/324
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''
Svalname: 3&amp;4


[[Lp tuning|POL2 generator]]: ~6/5 = 317.139
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]


[[Gencom]]: [2 6/5; 325/324]
Scales:
Gencom map: [&lt;1 -1/6 5/6 0 0 -1/3|, &lt;0 -1/2 -3/2 0 0 1|]
* [[Slendric5]] – 5-tone haplotonic scale
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


Map: [&lt;1 0 2|, &lt;0 1 -2|]
== Huntington ==
EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b
{{See also| No-threes subgroup temperaments #Huntington }}
[[Lp tuning#L2 tuning|L2 error]]: 0.5985 cents


[[image:marveltwintri_321edo.png]]
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]


[[xenharmonic/marveltwintri7|Seven note albitonic scale]]
Scales:
[[xenharmonic/marveltwintri11|Eleven note chromatic scale]]
* [[Huntington7]] – 7-tone haplotonic scale
[[xenharmonic/marveltwintri15|Fifteen note mega chromatic scale]]
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


=Cata=  
== Tobago ==
Subgroup: 2.3.5.13
{{See also| Subgroup temperaments #Tobago }}
Commas: 325/324, 625/624
Sval name: 15&amp;19
Related temperament: [[xenharmonic/Kleismic family|catakleismic]]


[[Lp tuning|POL2 generator]]: ~6/5 = 317.076
Scales:
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


[[Gencom]]: [2 6/5; 325/324 625/624]
== Pepperoni ==
Gencom map: [&lt;1 0 1 0 0 0|, &lt;0 6 5 0 0 14|]
{{See also| Parapyth }}
{{See also| Subgroup temperaments #Pepperoni }}


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
[[Lp tuning#L2 tuning|L2 error]]: 0.6001 cents


[[image:xenharmonic/cata_246edo2.jpg]]
Scales:  
[[xenharmonic/cata7|Seven note albitonic scale]]
* [[Pepperoni7]] – 7-tone albitonic scale
[[xenharmonic/cata11|Eleven note mega albitonic scale]]
* [[Pepperoni12]] – 12-tone chromatic scale
[[xenharmonic/cata15|Fifteen note chromatic scale]]
[[xenharmonic/cata19|Nineteen note mega chromatic scale]]


=Bridgetown=  
== Wizz ==
Subgroup: 2.3.11/5.13/5
{{See also| No-threes subgroup temperaments #Wizz }}
Commas: 352/351, 676/675
Sval name: 5&amp;24
Related temperament: [[xenharmonic/The Archipelago|barabados]]


[[Lp tuning|POL2 generator]]: ~15/13 = 248.399
Scales:
* [[Wizz6]] – 6-tone haplotonic scale
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


[[Gencom]]: [2 15/13; 352/351 676/675]
== Bossier ==
Gencom map: [&lt;1 2 -5/3 0 4/3 1/3|, &lt;0 -2 4 0 -5 1|]
{{See also| No-threes subgroup temperaments #Bossier }}


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314
[[Lp tuning#L2 tuning|L2 error]]: 0.6154 cents


[[image:bridgetown_29edo.png]]
Scales:
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


[[xenharmonic/bridgetown9|Nine note albitonic scale]]
== Penta a.k.a. mechanism ==
[[xenharmonic/bridgetown14|Fourteen note chromatic scale]]
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}


==Music==
Scales:
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://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]]
* [[Penta5]] – 5-tone haplotonic scale
&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"&gt;&lt;span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"&gt;////[[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]]////&lt;/span&gt;&lt;/span&gt; by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]]
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


=Slendric=  
== Bluebirds ==
Subgroup: 2.3.7
{{See also| No-threes subgroup temperaments #Bluebirds }}
Comma: 1029/1024
Sval name: 5&amp;21


[[Lp tuning|POL2 generator]]: ~8/7 = 233.688
Scales:
* [[Bluebirds6]] – 6-tone haplotonic scale
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale


[[Gencom]]: [2 8/7; 1029/1024]
== Marveltri ==
Gencom map: [&lt;1 1 0 3|, &lt;0 3 0 -1|]
{{See also| Subgroup temperaments #Marveltri }}


Map: [&lt;1 1 3|, &lt;0 3 -1|]
Scales:  
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
* [[Marveltri7]] – 7-tone albitonic scale
[[Lp tuning#L2 tuning|L2 error]]: 0.6403 cents
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


[[image:xenharmonic/slendric_190edo.jpg]]
== Edson ==
{{See also| Subgroup temperaments #Edson }}


[[xenharmonic/slendric5|Five note haplotonic scale]]
Scales:
[[xenharmonic/slendric6|Six note haplotonic scale]]
* [[Edson5]] – 5-tone haplotonic scale
[[xenharmonic/slendric11|Eleven note albitonic scale]]
* [[Edson7]] – 7-tone albitonic scale
[[xenharmonic/slendric16|Sixteen note chromatic scale]]
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


==Music==  
== Photia ==
&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| Schismatic family #Photia (2.3.5.17) }}
&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]]


=Haumea=
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
Subgroup: 2.3.7/5.11/5.13/5
Commas: 352/351, 676/675, 847/845
Related temperaments: [[Hemifamity family#Namaka|namaka]], hemigari


[[Lp tuning|POL2 generator]]: ~15/13 = 248.491
Scales:
* [[Photia7]] – 7-tone albitonic scale
* [[Photia12]] – 12-tone chromatic scale


[[Gencom]]: [2 15/13; 352/351 676/675 847/845]
== Shoe a.k.a. llywelyn ==
Gencom map: [&lt;1 2 -3/4 -11/4 9/4 5/4|, &lt;0 -2 0 12 -9 -3|]
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


Map: [&lt;1 0 10 -6 -1|, &lt;0 2 -12 9 3|]
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd
[[Lp tuning#L2 tuning|L2 error]]: 0.6535 cents


[[xenharmonic/haumea5|Five note haplotonic scale]]
Scales:
[[xenharmonic/haumea9|Nine note albitonic scale]]
* [[Shoe5]] – 5-tone mini-haplotonic scale
[[xenharmonic/haumea14|Fourteen note chromatic scale]]
* [[Shoe6]] – 6-tone haplotonic scale
[[xenharmonic/haumea19|Nineteen note mega chromatic scale]]
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


=Neutraltet=  
== Roulette ==
Subgroup: 2.3.11
{{See also | Hemimean clan #Roulette }}
Commas: 243/242
Svalname: 7&amp;17


[[Lp tuning|POL2 generator]]: ~11/9 = 350.525
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]


[[Gencom]]: [2 11/9; 243/242]
Scales:
Gencom map: [&lt;1 1 0 0 2|, &lt;0 2 0 0 5|]
* [[Roulette6]] – 6-tone haplotonic scale
* [[Roulette7]] – 7-tone albitonic scale
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


Map: [&lt;1 1 2|, &lt;0 2 5|]
== Silver ==
EDOs: 7, 17, 24, 65, 89, 202, 291, 380
{{See also | No-threes subgroup temperaments #Silver }}
[[Lp tuning#L2 tuning|L2 error]]: 0.6756 cents


[[image:neutraltet_380edo.png]]
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]


[[xenharmonic/neutraltet7|Seven note albitonic scale]]
Scales:
[[xenharmonic/neutraltet10|Ten note chromatic scale]]
* [[Silver7]] – 7-tone haplotonic scale
[[xenharmonic/neutraltet17|Seventeen note mega chromatic scale]]
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


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


[[Lp tuning|POL2 generator]]: ~16/13 = 357.002
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]


[[Gencom]]: [2 16/13; 640/637 10985/10976]
Scales
Gencom map: [&lt;1 0 5 4 0 4|, &lt;0 0 -9 -4 0 -1|]
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd
[[Lp tuning#L2 tuning|L2 error]]: 0.8455 cents


[[image:huntington_400edo.jpg]]
== Guanyintet ==
{{See also | Subgroup temperaments #Guanyintet }}


[[xenharmonic/huntington7|Seven note haplotonic scale]]
Scales:
[[xenharmonic/huntington10|Ten note albitonic scale]]
* [[Guanyintet5]] – 5-tone haplotonic scale
[[xenharmonic/huntington17|Seventeen note chromatic scale]]
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


=Pepperoni=  
== Radon ==
Subgroup: 2.3.11/7.13/7
{{See also| Gamelismic clan #Radon }}
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.


[[Lp tuning|POL2 generator]]: ~3/2 = 703.856
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]


[[Gencom]]: [2 3/2; 352/351 364/363]
* [[Radon5]] – 5-tone haplotonic scale
Gencom map: [&lt;1 1 0 -8/3 1/3 7/3|, &lt;0 1 0 11/3 -1/3 -10/3|]
* [[Radon11]] – 11-tone albitonic scale
* [[Radon16]] – 16-tone chromatic scale


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
== Gariberttet ==
EDOs: 5, 7, 12, 17, 29, 46, 75, 104, 196, 271, 595bcd
{{See also | Subgroup temperaments #Gariberttet }}
[[Lp tuning#L2 tuning|L2 error]]: 0.9282 cents


[[image:pepperoni_271edo.png]]
Scales:
* [[Gariberttet5]] – 5-tone haplotonic scale
* [[Gariberttet9]] – 9-tone albitonic scale
* [[Gariberttet13]] – 13-tone chromatic scale


[[xenharmonic/pepperoni7|Seven note albitonic scale]]
== Namo ==
[[xenharmonic/pepperoni12|Twelve note chromatic scale]]
{{See also| Rastmic clan #Namo }}


=Penta=
Scales:
Subgroup: 2.9.7.11
* [[Namo7]] – 7-tone haplotonic scale
Commas: 896/891, 26411/26244
* [[Namo10]] – 10-tone albitonic scale
Svalname: 8&amp;11
* [[Namo17]] – 17-tone chromatic scale


[[Lp tuning|POL2 generator]]: ~9/7 = 438.465
== Sentry ==
{{See also | Subgroup temperaments #Sentry }}


[[Gencom]]: [2 9/7; 896/891 26411/26244]
Scales:
Gencom map: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]
* [[Sentry5]] – 5-tone haplotonic scale
* [[Sentry8]] – 8-tone albitonic scale
* [[Sentry11]] – 11-tone chromatic scale


Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]
== Hemif ==
EDOs: 8, 11, 30, 41, 52
{{See also| No-fives subgroup temperaments #Hemif }}
[[Lp tuning#L2 tuning|L2 error]]: 0.9531 cents


[[xenharmonic/penta5|Five note haplotonic scale]]
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]
[[xenharmonic/penta8|Eight note albitonic scale]]
[[xenharmonic/penta11|Eleven note chromatic scale]]
[[xenharmonic/penta19|Nineteen note mega chromatic scale]]


=Marveltri=
Scales:
Subgroup: 2.5.9/7
* [[Hemif7]] – 7-tone haplotonic scale
Comma: 225/224
* [[Hemif10]] – 10-tone albitonic scale
Sval name: 3&amp;13
* [[Hemif17]] – 17-tone chromatic scale
Related temperaments: marvel, 22&amp;47, magic


[[Lp tuning|POL2 generator]]: ~5/4 = 383.638
== Garibaldi ==
{{Main| Garibaldi temperament }}
{{See also| Schismatic family #Garibaldi }}


[[Gencom]]: [2 5/4; 225/224]
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
Gencom map: [&lt;1 2/5 2 -1/5|, &lt;0 -4/5 1 2/5|]


Map: [&lt;1 0 5|, &lt;0 1 -2|]
Scales:  
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc
* [[Garibaldi12]] – 12-tone albitonic scale
[[Lp tuning#L2 tuning|L2 error]]: 0.9602 cents
* [[Garibaldi17]] – 17-tone chromatic scale


[[xenharmonic/marveltri7|Seven note albitonic scale]]
== Mabilic ==
[[xenharmonic/marveltri10|Ten note chromatic scale]]
{{See also| No-threes subgroup temperaments #Mabilic }}
[[xenharmonic/marveltri13|Thirteen note mega chromatic scale]]


=Bossier=
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
Subgroup: 2.7.11.13
Commas: 1573/1568, 15488/15379
Sval name: 3&amp;17


[[Lp tuning|POL2 generator]]: ~14/11 = 421.309
Scales:
* [[Mabilic7]] – 7-tone haplotonic scale
* [[Mabilic9]] – 9-tone albitonic scale
* [[Mabilic16]] – 16-tone chromatic scale


[[Gencom]]: [2 14/11; 1573/1568 15488/15379]
== Indium ==
Gencom map: [&lt;1 0 0 0 1 3|, &lt;0 0 0 8 7 2|]
{{See also | Subgroup temperaments #Indium }}


Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd
[[Lp tuning#L2 tuning|L2 error]]: 0.9904 cents


[[image:bossier_225edo.jpg]]
Scales:
* [[Indium8]] – 8-tone albitonic scale
* [[Indium17]] – 17-tone chromatic scale


[[xenharmonic/bossier8|Eight note albitonic scale]]
; Music
[[xenharmonic/bossier11|Eleven note chromatic scale]]
* ''The Cry of Indium'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/the-cry-of-indium/ blog] | [https://web.archive.org/web/20201127012551/http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 play] – in Indium[17]
[[xenharmonic/bossier14|Fourteen note mega chromatic scale]]


=Edson=
== Starlingtet ==
Subgroup: 2.3.7/5.11/5.13/5
{{See also | Subgroup temperaments #Starlingtet }}
Commas: 196/195, 352/351, 364/363
Related temperaments: [[Hemifamity family#Pele|pele]], cassandra


[[Lp tuning|POL2 generator]]: ~3/2 = 703.414
Scales:
* [[Starlingtet4]] – 4-tone haplotonic scale
* [[Starlingtet7]] – 7-tone albitonic scale
* [[Starlingtet11]] – 11-tone chromatic scale


[[Gencom]]: [2 3/2; 196/195, 352/351, 364/363]
== Lovecraft ==
Gencom map: [&lt;1 1 -5 -1 2 4|, &lt;0 1 29/4 5/4 -11/4 -23/4|]
{{See also | No-threes subgroup temperaments #Lovecraft }}


Map: [&lt;1 0 10 17 22|, &lt;0 1 -6 -10 -13|]
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
EDOs: 12, 17, 29, 621bcde


[[xenharmonic/edson5|Five note haplotonic scale]]
Scales:
[[xenharmonic/edson7|Seven note albitonic scale]]
* [[Lovecraft5]] – 5-tone haplotonic scale
[[xenharmonic/edson12|Twelve note chromatic scale]]
* [[Lovecraft9]] – 9-tone albitonic scale
[[xenharmonic/edson17|Seventeen note mega chromatic scale]]
* [[Lovecraft13]] – 13-tone chromatic scale


=Shoe=  
== Blackbirds ==
Subgroup: 2.5.7.11.13
{{See also | No-threes subgroup temperaments #Blackbirds }}
Commas: 176/175, 640/637, 847/845
Sval name: 16&amp;21


[[Lp tuning|POL2 generator]]: ~8/7 = 227.108
Scales:
* [[Blackbirds8]] – 8-tone albitonic scale
* [[Blackbirds12]] – 12-tone chromatic scale
* [[Blackbirds16]] – 16-tone mega-chromatic scale


[[Gencom]]: [2 8/7; 176/175 640/637 847/845]
== Laz ==
Gencom map: [&lt;1 0 1 3 1 2|, &lt;0 0 7 -1 13 9|]
{{See also | Subgroup temperaments #Laz }}


Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]
Scales:  
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce
* [[Laz5]] – 5-tone haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 1.331 cents
* [[Laz9]] – 9-tone albitonic scale
* [[Laz13]] – 13-tone chromatic scale


[[image:xenharmonic/shoe_37edo.jpg]]
== Myna ==
{{Main| Myna }}
{{See also| Starling temperaments #Myna }}


[[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]]
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]
[[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]]


=Guanyintet=
Scales:
Subgroup: 2.5.7/3.11/3
* [[Myna7]] – 7-tone haplotonic scale
Commas: 176/175, 540/539
* [[Myna11]] – 11-tone albitonic scale
Svalname: 4&amp;9
* [[Myna15]] – 15-tone chromatic scale
Related temperaments: guanyin, orwell


[[Lp tuning|POL2 generator]]: ~7/6 = 270.093
== Greeley ==
{{See also| Subgroup temperaments #Greeley }}


[[Gencom]]: [2 7/6; 176/175 540/539]
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
Gencom map: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]


Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]
Scales:  
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd
* [[Greeley8]] – 8-tone albitonic scale
[[Lp tuning#L2 tuning|L2 error]]: 1.348 cents
* [[Greeley15]] – 15-tone chromatic scale


[[xenharmonic/guanyintet5|Five note haplotonic scale]]
; Music
[[xenharmonic/guanyintet9|Nine note albitonic scale]]
* ''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/guanyintet13|Thirteen note chromatic scale]]


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


[[Lp tuning|POL2 generator]]: ~28/25 = 194.594
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]


[[Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
Scales:
Gencom map: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]
* [[Ammon8]] – 8-tone albitonic scale
* [[Ammon13]] – 13-tone chromatic scale


Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
== Mothwelltri ==
EDOs: 6, 7, 13, 19, 25, 31, 37
{{See also| Subgroup temperaments #Mothwelltri }}
[[Lp tuning#L2 tuning|L2 error]]: 1.364 cents


[[image:xenharmonic/roulette_37edo.jpg]]
Scales:
* [[Mothwelltri5]] – 5-tone haplotonic scale
* [[Mothwelltri9]] – 9-tone albitonic scale
* [[Mothwelltri13]] – 13-tone chromatic scale


[[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
== Sulis ==
[[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]]
{{See also| Subgroup temperaments #Sulis }}
[[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]]
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]]


=Sentry=
Scales:
Group: 2.5/3.9/7
* [[Sulis7]] – 7-tone haplotonic scale
Commas: 245/243
* [[Sulis10]] – 10-tone albitonic scale
Svalname: 3&amp;5
* [[Sulis13]] – 13-tone chromatic scale
Related temperaments: sensi


[[Lp tuning|POL2 generator]]: ~9/7 = 440.902
== Skwares ==
{{Main| Squares }}
{{See also| No-fives subgroup temperaments #Skwares }}


[[Gencom]]: [2 9/7; 245/243]
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]


Map: [&lt;1 0 0|, &lt;0 2 1|]
Scales:  
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc
* [[Skwares8]] – 8-tone albitonic scale
[[Lp tuning#L2 tuning|L2 error]]: 1.421 cents
* [[Skwares11]] – 11-tone mega-albitonic scale
* [[Skwares14]] – 14-tone chromatic scale


[[xenharmonic/sentry5|Five note haplotonic scale]]
== Orwell ==
[[xenharmonic/sentry8|Eight note albitonic scale]]
{{Main| Orwell }}
[[xenharmonic/sentry11|Eleven note note chromatic scale]]
{{See also| Semicomma family #Orwell }}


=Garibaldi=
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
Group: 2.3.5.7
Commas: 225/224, 3125/3087
Val name: 12&amp;29


[[Lp tuning|POL2 generator]]: ~3/2 = 702.085
Scales:
* [[Orwell5]] – 5-tone haplotonic scale
* [[Orwell9]] – 9-tone albitonic scale
* [[Orwell13]] – 13-tone chromatic scale


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


Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c
* [[Magicaltet7]] – 7-tone albitonic scale
[[Lp tuning#L2 tuning|L2 error]]: 1.451 cents
* [[Magicaltet11]] – 11-tone chromatic scale
* [[Magicaltet15]] – 15-tone mega-chromatic scale


[[image:garibaldi_94edo.png]]
== Magic ==
{{Main| Magic }}
{{See also| Magic family #Magic }}


[[xenharmonic/garibaldi12|Twelve note albitonic scale]]
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
[[xenharmonic/garibaldi17|Seventeen note chromatic scale]]


=Radon=
Scales:
Subgroup: 2.3.7.11
* [[Magic7]] – 7-tone haplotonic scale
Commas: 896/891, 1029/1024
* [[Magic10]] – 10-tone albitonic scale
Sval name: 5&amp;36
* [[Magic13]] – 13-tone chromatic scale
Related temperament: [[xenharmonic/Gamelismic clan|Rodan]]
* [[Magic16]] – 16-tone mega-chromatic scale


[[Lp tuning|POL2 generator]]: ~8/7 = 234.381
== Kiribati ==
{{See also| Subgroup temperaments #Kiribati }}


[[Gencom]]: [2 8/7; 896/891 1029/1024]
Scales:
Gencom map: [&lt;1 1 0 3 6|, &lt;0 3 0 -1 -13|]
* [[Kiribati13]] – 13-tone chromatic scale
* [[Kiribati14]] – 14-tone chromatic scale


Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
== Score ==
EDOs: 5, 36, 41, 87, 128
{{See also|No-threes subgroup temperaments #Score }}
[[Lp tuning#L2 tuning|L2 error]]: 1.454 cents


[[image:radon_128edo.jpg]]
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]


[[xenharmonic/radon5|Five note haplotonic scale]]
Scales:
[[xenharmonic/radon11|Eleven note albitonic scale]]
* [[Score5]] – 5-tone haplotonic scale
[[xenharmonic/radon16|Sixteen note chromatic scale]]
* [[Score7]] – 7-tone albitonic scale
* [[Score9]] – 9-tone mega-albitonic scale
* [[Score11]] – 11-tone chromatic scale


=Baldy=  
== Sensi ==
Subgroup: 2.9.5.7.13
{{Main| Sensi }}
Commas: 225/224, 325/324, 640/637
{{See also| Sensipent family #Sensi }}
Sval name: 6&amp;35
Related temperament: [[xenharmonic/Schismatic family|Garibaldi]]


[[Lp tuning|POL2 generator]]: ~9/8 = 204.090
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]


[[Gencom]]: [2 9/8; 225/224 325/324 640/637]
Scales:
Gencom map: [&lt;1 3/2 3 4 0 2|, &lt;0 1/2 -4 -7 0 10|]
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
=== Sensation ===
EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]], 488cd, 635cd
{{Main| Sensi }}
[[Lp tuning#L2 tuning|L2 error]]: 1.469 cents
{{See also| Sensipent family #Sensi }}


[[image:baldy_147edo.jpg]]
Scales:
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


[[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]]
== Meantone ==
[[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]]
{{Main| Meantone }}
[[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
{{See also| Meantone family #Meantone }}


=Photia=
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
Subgroup: 2.3.5.17.19
Commas: 171/170, 256/255, 324/323
Sval name: 12&amp;41
Related temperament: [[xenharmonic/Schismatic family|schismatic]]


[[Lp tuning|POL2 generator]]: ~3/2 = 701.470
Scales:
* [[Meantone5]] – 5-tone haplotonic scale
* [[Meantone7]] – 7-tone albitonic scale
* [[Meantone12]] – 12-tone chromatic scale


[[Gencom]]: [2 3/2; 171/170 256/255 324/323]
== Mohaha ==
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]
{{See also| Rastmic clan #Mohaha }}


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d
[[Lp tuning#L2 tuning|L2 error]]: 1.520 cents


[[image:photia_65edo.png]]
Scales:
* [[Mohaha7]] – 7-tone albitonic scale
* [[Mohaha10]] – 10-tone chromatic scale


[[xenharmonic/photia7|Seven note albitonic scale]]
Music:
[[xenharmonic/photia12|Twelve note chromatic scale]]
; [[Billy Stiltner]]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}


=Mabila=  
=== Mohoho ===
Subgroup: 2.5.7
{{See also| Rastmic clan #Mohoho }}
Comma: 1071875/1048576
Sval name: 7&amp;9


[[Lp tuning|POL2 generator]]: ~175/128 = 527.236
== Joan ==
{{See also| Subgroup temperaments #Joan }}


[[Gencom]]: [2 175/128; 1071875/1048576]
Scales:
Gencom map: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]
* [[Joan5]] – 5-tone haplotonic scale
* [[Joan7]] – 7-tone albitonic scale
* [[Joan9]] – 9-tone mega-albitonic scale
* [[Joan11]] – 11-tone chromatic scale


Map: [&lt;1 1 5|, &lt;0 3 -5|]
== Tutone ==
EDOs: 7, 9, 16, 25, 41, 66, 305bc
{{See also| Hemimean clan #Tutone }}
[[Lp tuning#L2 tuning|L2 error]]: 1.546 cents


[[image:mabila_66edo.jpg]]
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]


[[xenharmonic/mabila7|Seven note haplotonic scale]]
Scales:
[[xenharmonic/mabila9|Nine note albitonic scale]]
* [[Tutone6]] – 6-tone haplotonic scale
[[xenharmonic/mabila16|Sixteen note chromatic scale]]
* [[Tutone7]] – 7-tone albitonic scale
* [[Tutone13]] – 13-tone chromatic scale


=Silver=  
== Stacks ==
Subgroup: 2.5.7.13.17
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
Commas: 170/169, 640/637, 5525/5488
Sval name: 10&amp;27


[[Lp tuning|POL2 generator]]: ~13/8 = 842.711
Scales:
* [[Stacks5]] – 5-tone haplotonic scale
* [[Stacks8]] – 8-tone albitonic scale
* [[Stacks11]] – 11-tone chromatic scale
* [[Stacks19]] – 19-tone mega-chromatic scale


[[Gencom]]: [2 13/8; 170/169 640/637 5525/5488]
== Bleu ==
Gencom map: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]
{{See also| No-fives subgroup temperaments #Bleu }}


Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
Scales:  
EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, 178e, 309cde, [[xenharmonic/487edo|487bcdee]]
* [[Bleu8]] – 8-tone haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 1.557 cents
* [[Bleu9]] – 9-tone albitonic scale
* [[Bleu17]] – 17-tone chromatic scale


[[image:silver_487edo.jpg]]
== Sephiroth ==
{{See also| No-threes subgroup temperaments #Sephiroth }}


[[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]]
Scales:
[[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]]
* [[Sephiroth7]] – 7-tone haplotonic scale
[[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
* [[Sephiroth10]] – 10-tone albitonic scale
* [[Sephiroth13]] – 13-tone chromatic scale
* [[Sephiroth16]] – 16-tone mega-chromatic scale


=Starlingtet=  
== Archy ==
Group: 2.5/3.7/3
{{Main| Superpyth }}
Comma: 126/125
{{See also| Archytas clan #Archy }}
Svalname: 4&amp;15
Related temperaments: starling; becomes myna
[[Lp tuning|POL2 generator]]: ~6/5 = 311.154


[[Gencom]]: [2 6/5; 126/125]
Scales:
Gencom map: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]
* [[Archy5]] – 5-tone haplotonic scale
* [[Archy7]] – 7-tone albitonic scale
* [[Archy12]] – 12-tone chromatic scale


Map: [&lt;1 0 -1|, &lt;0 1 3|]
=== Supra ===
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
{{Main| Superpyth }}
[[Lp tuning#L2 tuning|L2 error]]: 1.680 cents
{{See also| Archytas clan #Supra }}


[[xenharmonic/starlingtet4|Four note haplotonic scale]]
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]
[[xenharmonic/starlingtet7|Seven note albitonic scale]]
[[xenharmonic/starlingtet11|Eleven note chromatic scale]]


=Gariberttet=
Scales:
Subgroup: 2.5/3.7/3.13/11
* [[Supra7]] – 7-tone [[albitonic scale]]
Commas: 275/273, 847/845
* [[Supra12]] – 12-tone [[chromatic scale]]
Svalname: 4&amp;29


[[Lp tuning|POL2 generator]]: ~13/11 = 293.679
=== Supraphon ===
{{Main| Superpyth }}
{{See also| Archytas clan #Supraphon }}


[[Gencom]]: [2 13/11; 275/273 847/845]
== Suhajira ==
Gencom map: [&lt;1 0 0 0 0 0|, &lt;0 -8/3 1/3 7/3 -1/2 1/2|]
{{See also| Archytas clan #Suhajira }}


Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]
Scales:  
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd
* [[Suhajira7]] – 7-tone haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 1.694 cents
* [[Suhajira10]] – 10-tone albitonic scale
* [[Suhajira17]] – 17-tone chromatic scale


[[xenharmonic/gariberttet5|Five note haplotonic scale]]
== Machine ==
[[xenharmonic/gariberttet9|Nine note albitonic scale]]
{{See also| Subgroup temperaments #Machine}}
[[xenharmonic/gariberttet13|Thirteen note chromatic scale]]


=Namo=
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
Subgroup: 2.3.11.13
Commas: 144/143, 243/242
Related temperament: [[Valinorismic temperaments#Mandos|mandos]]


[[Lp tuning|POL2 generator]]: ~11/9 = 351.488
Scales:
* [[Machine5]] – 5-tone haplotonic scale
* [[Machine6]] – 6-tone albitonic scale
* [[Machine11]] – 11-tone chromatic scale


[[Gencom]]: [2 11/9; 144/143 243/242]
== Deutone ==
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 0 0 5 -1|]
{{See also| Hemimean clan #Deutone }}


Map: [&lt;1 1 2 4|, &lt;0 2 5 -1|]
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]
EDOs: 7, 10, 17, 41, 58, 99cd
[[Lp tuning#L2 tuning|L2 error]]: 1.724 cents


=Indium=
Scales:
Subgroup: 2.5/3.7/3.11/3
* [[Deutone6]] – 6-tone haplotonic scale
Commas: 3025/3024, 3125/3087
* [[Deutone7]] – 7-tone albitonic scale
Sval name: 8&amp;33
* [[Deutone13]] – 13-tone chromatic scale


[[Lp tuning|POL2 generator]]: ~12/11 = 147.010
== Negra ==
{{Main| Negri }}
{{See also| Marvel temperaments #Negri }}


[[Gencom]]: [2 12/11; 3025/3024 3125/3087]
== Porkypine ==
Gencom map: [&lt;1 -1/2 -1/2 -1/2 3/2|, &lt;0 -15/4 9/4 25/4 -19/4|]
{{Main| Porcupine }}
{{See also| Porcupine family #Porcupine }}


Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
Scales:  
EDOs: 33, 41, 49, 57, 106, 204, 253
* [[Porkypine7]] – 7-tone haplotonic scale
[[Lp tuning#L2 tuning|L2 error]]: 1.741 cents
* [[Porkypine8]] – 8-tone albitonic scale
* [[Porkypine15]] – 15-tone chromatic scale


[[image:indium_253edo.png]]
== Skateboard ==
{{See also| Subgroup temperaments #Skateboard }}


[[xenharmonic/indium8|Eight note albitonic scale]]
Scales:
[[xenharmonic/indium17|Seventeen note chromatic scale]]
* [[Skateboard7]] – 7-tone haplotonic scale
* [[Skateboard11]] – 11-tone albitonic scale
* [[Skateboard15]] – 15-tone chromatic scale


==Music==  
== Augment ==
&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]]
{{See also| No-threes subgroup temperaments #Augment }}


=Hemif=
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]
Subgroup: 2.3.7.11.13
Commas: 144/143, 243/242, 364/363
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]]


[[Lp tuning|POL2 generator]]: ~11/9 = 351.691
Scales:
* [[Augment6]] – 6-tone haplotonic scale
* [[Augment9]] – 9-tone albitonic scale
* [[Augment12]] – 12-tone chromatic scale


[[Gencom]]: [2 11/9; 144/143 243/242 364/363]
== Semaphore ==
Gencom map: [&lt;1 1 0 -1 2 4|, &lt;0 2 0 13 5 -1|]
{{Main| Semaphore and godzilla }}
{{See also| Semaphoresmic clan #Semaphore }}


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]
EDOs: 7, 10, 17, 24, 41, 58
[[Lp tuning#L2 tuning|L2 error]]: 1.756 cents


[[image:hemif_58edo.jpg]]
Scales:
* [[Semaphore5]] – 5-tone haplotonic scale
* [[Semaphore9]] – 9-tone albitonic scale
* [[Semaphore14]] – 14-tone chromatic scale


[[xenharmonic/hemif7|Seven note haplotonic scale]]
== Kryptonite ==
[[xenharmonic/hemif10|Ten note albitonic scale]]
{{See also| Subgroup temperaments #Kryptonite }}
[[xenharmonic/hemif17|Seventeen note chromatic scale]]


=Myna=
Scales:
Group: 2.3.5.7
* [[Kryptonite9]] – 9-tone albitonic scale
Commas: 126/125, 1728/1715
* [[Kryptonite10]] – 10-tone albitonic scale
Val name: 4&amp;27
* [[Kryptonite19]] – 19-tone mega-chromatic scale


[[Lp tuning|POL2 generator]]: ~6/5 = 310.146
== Oregon ==
{{See also| Orgonia #Oregon }}


[[Gencom]]: [2 6/5; 126/125 1728/1715]
Scales:
Gencom map: [&lt;1 -1 0 1|,&lt;0 10 9 7|]
* [[Oregon7]] – 7-tone haplotonic scale
* [[Oregon11]] – 11-tone albitonic scale
* [[Oregon15]] – 15-tone chromatic scale


Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
== Antikythera ==
EDOs: 4, 27, 31, 58, 89, 236c, 325cd
{{See also| Jubilismic clan #Antikythera }}
[[Lp tuning#L2 tuning|L2 error]]: 1.903 cents


[[image:myna_89edo.jpg]]
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]


[[xenharmonic/myna7|Seven note haplotonic scale]]
Scales:
[[xenharmonic/myna11|Eleven note albitonic scale]]
* [[Antikythera6]] – 6-tone haplotonic scale
[[xenharmonic/myna15|Fifteen note chromatic scale]]
* [[Antikythera10]] – 10-tone albitonic scale
* [[Antikythera16]] – 16-tone chromatic scale


=Lovecraft=  
== Glacial ==
Group: 2.11.13
{{See also| Subgroup temperaments #Glacial }}
Commas: 1352/1331


[[Lp tuning|POL2 generator]]: ~13/11 = 279.318
Scales:
* [[Glacial6]] – 6-tone haplotonic scale
* [[Glacial7]] – 7-tone albitonic scale
* [[Glacial13]] – 13-tone chromatic scale


[[Gencom]]: [2 13/11; 1352/1331]
== Leantone ==
Gencom map: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]
{{See also| Hemimean clan #Leantone }}


Map: [&lt;1 1 0|, &lt;0 2 3|]
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]
EDOS: 13, 30, 43, 73, 116b
[[Lp tuning#L2 tuning|L2 error]]: 2.070 cents


[[image:lovecraft_116edo.png]]
Scales:
* [[Leantone6]] – 6-tone haplotonic scale
* [[Leantone7]] – 7-tone albitonic scale
* [[Leantone13]] – 13-tone chromatic scale


[[xenharmonic/lovecraft5|Five note haplotonic scale]]
== Notes ==
[[xenharmonic/lovecraft9|Nine note albitonic scale]]
[[xenharmonic/lovecraft13|Thirteen note chromatic scale]]


=Laz=
[[Category:Lists of scales]]
Subgroup: 2.5.7/3.11/3.13/3
[[Category:Tempered scales| ]]
Commas: 144/143, 176/175, 196/195
[[Category:Listen]]
Related temperaments: [[Orwellismic family#Guanyin-Georgian|georgian]], winston
[[Category:Rank 2]]


[[Lp tuning|POL2 generator]]: ~7/6 = 269.300
{{todo|cleanup}}
 
[[Gencom]]: [2 7/6; 144/143 176/175 196/195]
Gencom map: [&lt;1 -5/4 3 -1/4 7/4 -1/4|, &lt;0 -1/4 -3 3/4 -21/4 19/4|]
 
Map: [&lt;1 0 2 -2 6|, &lt;0 3 -1 5 -5|]
EDOs: 9, 31, 40, 49, 58, 156bde, 205bde
[[Lp tuning#L2 tuning|L2 error]]: 2.153 cents
 
[[xenharmonic/laz5|Five note haplotonic scale]]
[[xenharmonic/laz9|Nine note albitonic scale]]
[[xenharmonic/laz13|Thirteen note chromatic scale]]
 
=Greeley=
Subgroup: 2.5/3.7/3.11/3
Commas: 121/120, 126/125
Related temperament: [[Porcupine family#Opossum|Opossum]]
 
[[Lp tuning|POL2 generator]]: ~11/10 = 155.776
 
[[Gencom]]: [2 11/10; 121/120 126/125]
Gencom map: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]
 
Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd
[[Lp tuning#L2 tuning|L2 error]]: 2.313 cents
 
[[image:greeley_100edo.png]]
 
[[xenharmonic/greeley8|Eight note albitonic scale]]
[[xenharmonic/greeley15|Fifteen note chromatic scale]]
 
==Music==
&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
 
=Mothwelltri=
Group: 2.7/3.11
Comma: 99/98
Svalname: 1&amp;4
Related temperament: Orwell
 
[[Lp tuning|POL2 generator]]: ~7/6 = 273.174
 
[[Gencom]]: [2 7/6; 99/98]
Gencom map: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]
 
Map: [&lt;1 0 1|, &lt;0 1 2|]
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc
[[Lp tuning#L2 tuning|L2 error]]: 2.380 cents
 
[[xenharmonic/mothwelltri5|Five note haplotonic scale]]
[[xenharmonic/mothwelltri9|Nine note albitonic scale]]
[[xenharmonic/mothwelltri13|Thirteen note chromatic scale]]
 
=Sulis=
Subgroup: 2.5.9/7.11/9
Commas: 99/98, 176/175
Related temperament: [[Marvel family#Minerva|minerva]], würschmidt
 
[[Lp tuning|POL2 generator]]: ~5/4 = 386.558
 
[[Gencom]]: [2 5/4; 99/98 176/175]
Gencom map: [&lt;1 4/9 2 -1/9 -1/9|, &lt;0 -4/3 1 -2/3 4/3|]
 
Map: [&lt;1 0 5 -9|, &lt;0 1 -2 4|]
EDOs: 22, 25, 28, 31, 59, 90c, 149c
[[Lp tuning#L2 tuning|L2 error]]: 2.402 cents
 
[[xenharmonic/sulis7|Seven note haplotonic scale]]
[[xenharmonic/sulis10|Ten note albitonic scale]]
[[xenharmonic/sulis13|Thirteen note chromatic scale]]
 
=Skwares=
Subgroup: 2.3.7.11
Commas: 99/98, 243/242
Related temperament: [[xenharmonic/Meantone family|squares]]
 
[[Lp tuning|POL2 generator]]: ~9/7 = 425.244
 
[[Gencom]]: [2 9/7; 99/98 243/242]
Gencom map: [&lt;1 3 0 6 7|, &lt;0 -4 0 -9 -10|]
 
Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd
[[Lp tuning#L2 tuning|L2 error]]: 2.457 cents
 
[[image:skwares_206edo.png]]
 
[[xenharmonic/skwares8|Eight note albitonic scale]]
[[xenharmonic/skwares11|Eleven note mega albitonic scale]]
[[xenharmonic/skwares14|Fourteen note chromatic scale]]
 
=Orwell=
Group: 2.3.5.7.11
Commas: 99/98, 121/120, 176/175
Val name: 9&amp;22
 
[[Lp tuning|POL2 generator]]: ~7/6 = 271.426
 
[[Gencom]]: [2 7/6; 99/98 121/120 176/175]
Gencom map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
 
Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
EDOs: 9, 22, 31, 53, 84e
[[Lp tuning#L2 tuning|L2 error]]: 2.574 cents
 
[[image:xenharmonic/orwell_84edo.png]]
 
[[xenharmonic/orwell5|Five note haplotonic scale]]
[[xenharmonic/orwell9|Nine note albitonic scale]]
[[xenharmonic/orwell13|Thirteen note chromatic scale]]
 
=Semidim=
Subgroup: 2.5/3.7/3.11/3.13/3
Commas: 121/120, 169/168, 275/273
Sval name: 8&amp;29
 
[[Lp tuning|POL2 generator]]: ~13/10 = 453.242
 
[[Gencom]]: [2 13/10; 121/120 169/168 275/273]
Gencom map: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]
 
Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,
[[Lp tuning#L2 tuning|L2 error]]: 2.577 cents
 
[[image:semidim_770edo.png]]
 
[[xenharmonic/semidim8|Eight note albitonic scale]]
[[xenharmonic/semidim13|Thirteen note chromatic scale]]
 
=Sensi=
Group: 2.3.5.7
Commas: 126/125, 245/243
Val name: 19&amp;27
 
[[Lp tuning|POL2 generator]]: ~9/7 = 443.383
 
[[Gencom]]: [2 9/7; 126/125 245/243]
Gencom map: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]
 
Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd
[[Lp tuning#L2 tuning|L2 error]]: 2.647 cents
 
[[image:xenharmonic/sensi_46edo.jpg]]
 
[[xenharmonic/sensi5|Five note haplotonic scale]]
[[xenharmonic/sensi8|Eight note albitonic scale]]
[[xenharmonic/sensi11|Eleven note mega albitonic scale]]
[[xenharmonic/sensi19|Nineteen note chromatic scale]]
 
=Magicaltet=
Group: 2.5/3.7.11
Commas: 100/99, 385/384
Related temperaments: 4&amp;7&amp;15, superkleismic, magic
 
[[Lp tuning|POL2 generator]]: ~6/5 = 322.659
 
[[Gencom]]: [2 6/5; 100/99 385/384]
Gencom map: [&lt;1 -1/2 1/2 2 4|, &lt;0 1/2 -1/2 3 -2|]
 
Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]
EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd
[[Lp tuning#L2 tuning|L2 error]]: 2.696 cents
 
[[xenharmonic/magicaltet7|Seven note albitonic scale]]
[[xenharmonic/magicaltet11|Eleven note chromatic scale]]
[[xenharmonic/magicaltet15|Fifteen note mega scale]]
 
=Magic=
Group: 2.3.5.7.11
Commas: 100/99, 225/224, 245/243
Val name: 19&amp;22
 
[[Lp tuning|POL2 generator]]: ~5/4 = 380.696
 
[[Gencom]]: [2 5/4; 100/99 225/224 245/243]
Gencom map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
 
Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
EDOs: 19, 22, 41, 104, 145
[[Lp tuning#L2 tuning|L2 error]]: 2.741 cents
 
[[image:xenharmonic/magic_145edo.jpg]]
 
[[xenharmonic/magic7|Seven note haplotonic scale]]
[[xenharmonic/magic10|Ten note albitonic scale]]
[[xenharmonic/magic13|Thirteen note chromatic scale]]
[[xenharmonic/magic16|Sixteen note mega chromatic scale]]
 
==Music==
&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]]
 
=Meantone=
Group: 2.3.5.7
Commas: 81/80, 126/125
Val name: 12&amp;19
 
[[Lp tuning|POL2 generator]]: ~3/2 = 696.495
 
[[Gencom]]: [2 3/2; 81/80 126/125]
Gencom map: [&lt;1 1 0 -3|, &lt;0 1 4 10|]
 
Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b
[[Lp tuning#L2 tuning|L2 error]]: 2.763 cents
 
[[image:meantone_31edo.jpg]]
 
[[xenharmonic/meantone5|Five note haplotonic scale]]
[[xenharmonic/meantone7|Seven note albitonic scale]]
[[xenharmonic/meantone12|Twelve note chromatic scale]]
 
=Kiribati=
Subgroup: 2.9/5.7/3.11/9
Commas: 100/99, 245/242
Related temperament: [[Octagar family|nakika]]
 
[[Lp tuning|POL2 generator]]: ~21/20 = 87.892
 
[[Gencom]]: [2 21/20; 100/99 245/242]
Gencom map: [&lt;1 1/10 -4/5 11/10 1/5|, &lt;0 -3/2 -1 3/2 1|]
 
Map: [&lt;1 1 1 0|, &lt;0 -2 3 4|]
EDOs: 13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd
[[Lp tuning#L2 tuning|L2 error]]: 2.784 cents
 
[[xenharmonic/kiribati13|Thirteen note chromatic scale]]
[[xenharmonic/kiribati14|Fourteen note chromatic scale]]
 
=Mohaha=
Subgroup: 2.3.5.11
Commas: 81/80, 121/120
Related temperament: [[xenharmonic/Meantone family|mohajira]]
 
[[Lp tuning|POL2 generator]]: ~11/9 = 348.094
 
[[Gencom]]: [2 11/9; 81/80 121/120]
Gencom map: [&lt;1 1 0 0 2|, &lt;[0 2 8 0 5|]
 
Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
EDOs: 24, 31, 69d, 100d, 131bd
[[Lp tuning#L2 tuning|L2 error]]: 3.113 cents
 
[[image:mohaha_131edo.png]]
 
[[xenharmonic/mohaha7|Seven note albitonic scale]]
[[xenharmonic/mohaha10|Ten note chromatic scale]]
 
==Music==
////[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]]//// by [[Billy Stiltner]]
 
=Score=
Subgroup: 2.7.11.13
Commas: 343/338, 847/832
 
[[Lp tuning|POL2 generator]]: ~11/8 = 540.099
 
[[Gencom]]: [2 11/8; 343/338 847/832]
Gencom map: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]
 
Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
EDOs: 5, 7, 9, 11, 20
[[Lp tuning#L2 tuning|L2 error]]: 3.141 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]]
 
=Tutone=
Subgroup: 2.9.5.7.11
Commas: 81/80, 99/98, 126/125
Related temperament: [[xenharmonic/Meantone family|meantone]]
 
[[Lp tuning|POL2 generator]]: ~9/8 = 193.937
 
[[Gencom]]: [2 9/8; 81/80 99/98 126/125]
Gencom map: [&lt;1 3/2 2 2 2|, &lt;0 1/2 2 5 9|]
 
Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
EDOs: 25, 31, 68b, 99b
[[Lp tuning#L2 tuning|L2 error]]: 3.218 cents
 
[[xenharmonic/tutone6|Six note haplotonic scale]]
[[xenharmonic/tutone7|Seven note albitonic scale]]
[[xenharmonic/tutone13|Thirteen note chromatic scale]]
 
[[image:tutone_99edo.png]]
 
=Archy=
Subgroup: 2.3.7
Comma: 64/63
 
[[Lp tuning|POL2 generator]]: ~3/2 = 709.321
 
Gencom: [2 3/2; 64/63]
Gencom mapping: [&lt;1 1 0 4|, &lt;0 1 0 -2|]
 
Map: [&lt;1 2 2|, &lt;0 -1 2|]
EDOs: 5, 12, 17, 22, 27, 137bc
[[Lp tuning#L2 tuning|L2 error]]: 3.713 cents
 
[[xenharmonic/archy5|Five note haplotonic scale]]
[[xenharmonic/archy7|Seven note albitonic scale]]
[[xenharmonic/archy12|Twelve note chromatic scale]]
 
=Stacks=
Subgroup: 2.9.15.7.11.13
Commas: 100/99, 105/104, 144/143, 196/195
Svalname: 11&amp;30
 
[[Lp tuning|POL2 generator]]: ~9/7 = 439.146
 
[[Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
Gencom map: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]
 
Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef
[[Lp tuning#L2 tuning|L2 error]]: 3.772 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]]
 
=Bleu=
Group: 2.3.7.11.13
Commas: 78/77, 99/98, 144/143
Sval name: 9&amp;17
 
[[Lp tuning|POL2 generator]]: ~13/12 = 139.990
 
[[Gencom]]: [2 13/12; 78/77 99/98 144/143]
Gencom map: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]
 
Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]]
[[Lp tuning#L2 tuning|L2 error]]: 4.292 cents
 
[[image:blue_60edo.png]]
 
[[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]]
[[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]]
[[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]]
 
=Supra=
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[xenharmonic/suprapyth|suprapyth]]
 
[[Lp tuning|POL2 generator]]: ~3/2 = 707.192
 
[[Gencom]]: [2 3/2; 64/63 99/98]
Gencom map: [&lt;1 1 0 4 7|, &lt;0 1 0 -2 -6|]
 
Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents
 
[[image:supra_56edo.png]]
 
[[xenharmonic/supra7|Seven note albitonic scale]]
[[xenharmonic/supra12|Twelve note chromatic scale]]
 
=Machine=
Subgroup: 2.9.7.11
Commas: 64/63, 99/98
 
[[Lp tuning|POL2 generator]]: ~9/8 = 214.384
 
[[Gencom]]: [2 9/8; 64/63 99/98]
Gencom map: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]
 
Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
EDOs: 5, 6, 11, 17, 28
[[Lp tuning#L2 tuning|L2 error]]: 4.421 cents
 
[[image:machine_28edo.png]]
 
[[xenharmonic/machine5|Five note haplotonic scale]]
[[xenharmonic/machine6|Six note albitonic scale]]
[[xenharmonic/machine11|Eleven note chromatic scale]]
 
=Sephiroth=
Subgroup: 2.5.11.13.17
Commas: 65/64, 170/169, 221/220
 
[[Lp tuning|POL2 generator]]: ~5/4 = 372.236
 
[[Gencom]]: [2 5/4; 65/64 170/169 221/220]
Gencom map: [&lt;1 0 2 0 5 4 5|, &lt;0 0 1 0 -5 -1 -3|]
 
Map: [&lt;1 0 15 6 11|, &lt;0 1 -5 -1 -3|]
EDOs: 10, 13, 16, 29c
[[Lp tuning#L2 tuning|L2 error]]: 4.694 cents
 
[[xenharmonic/sephiroth7|seven note haplotonic scale]]
[[xenharmonic/sephiroth10|Ten note albitonic scale]]
[[xenharmonic/sephiroth13|Thirteen note chromatic scale]]
[[xenharmonic/sephiroth16|Sixteen note mega chromatic scale]]
 
=Mohoho=
Subgroup: 2.3.5.11.13
Commas: 66/65, 81/80, 121/120
 
[[Lp tuning|POL2 generator]]: ~11/9 = 348.916
 
[[Gencom]]: [2 11/9; 66/65 81/80 121/120]
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 8 0 5 -1|]
 
Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
EDOs: 17c, 24, 31, 55, 86de, 141cde
[[Lp tuning#L2 tuning|L2 error]]: 4.829 cents
 
=Deutone=
Subgroup: 2.9.5.7.13
Commas: 65/64, 81/80, 91/90
Related temperament: [[xenharmonic/Meantone family|meanpop]]
 
[[Lp tuning|POL2 generator]]: ~9/8 = 191.059
 
[[Gencom]]: [2 9/8; 65/64 81/80 91/90]
Gencom map: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]
 
Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
EDOs: 6, 7, 13, 19, 25e, 44de
[[Lp tuning#L2 tuning|L2 error]]: 4.906 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
 
[[Lp tuning|POL2 generator]]: ~7/6 = 250.385
 
[[Gencom]]: [2 7/6; 49/48]
Gencom map: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]
 
Map: [&lt;1 0 2|, &lt;0 2 1|]
EDOs: 5, 9, 14, 19, 24, 67c, 91c
[[Lp tuning#L2 tuning|L2 error]]: 5.046 cents
 
[[image:semaphore_24edo.png]]
 
[[xenharmonic/semiphore5|Five note haplotonic scale]]
[[xenharmonic/semiphore9|Nine note albitonic scale]]
[[xenharmonic/semiphore14|Fourteen note chromatic scale]]
 
=Porkypine=
Subgroup: 2.3.5.11
Commas: 55/54, 100/99
 
[[Lp tuning|POL2 generator]]: ~10/9 = 164.078
 
[[Gencom]]: [2 10/9; 55/54 100/99]
Gencom map: [&lt;1 2 3 0 4|], &lt;0 -3 -5 0 -4|]
 
Map: [&lt;1 2 3 4|, &lt;0 3 5 4|]
EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd
[[Lp tuning#L2 tuning|L2 error]]: 5.114
 
[[xenharmonic/porkypine7|Seven note haplotonic scale]]
[[xenharmonic/porkypine8|Eight note albitonic scale]]
[[xenharmonic/porkypine15|Fifteen note chromatic scale]]
 
=Supraphon=
Subgroup: 2.3.7.11.13
Commas: 64/63, 78/77, 99/98
 
[[Lp tuning|POL2 generator]]: ~3/2 = 706.137
 
[[Gencom]]: [2 3/2; 64/63 78/77 99/98]
Gencom map: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]
 
Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
EDOs: 5, 7, 12, 17
[[Lp tuning#L2 tuning|L2 error]]: 5.132 cents
 
=Antikythera=
Subgroup: 2.9.5.7
Commas: 50/49, 64/63
Related temperament: [[xenharmonic/pajara|pajara]]
 
[[Lp tuning|POL2 generator]]: ~8/7 = 214.095
 
[[Gencom]]: [7/5 8/7; 50/49 64/63]
Gencom map: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]
 
Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
EDOS: 4, 6, 10, 16, 22, 28
[[Lp tuning#L2 tuning|L2 error]]: 5.145 cents
 
[[image:antikythera_28edo.png]]
 
[[xenharmonic/antikythera6|Six note haplotonic scale]]
[[xenharmonic/antikythera10|Ten note albitonic scale]]
[[xenharmonic/antikythera16|Sixteen note chromatic scale]]
 
=Augment=
Subgroup: 2.5.7.11
Commas: 56/55, 128/125
Related temperament: [[xenharmonic/Augmented family|augmented]]
 
[[Lp tuning|POL2 generator]]: ~8/7 = 228.275
 
[[Gencom]]: [5/4 8/7; 56/55 128/125]
Gencom map: [&lt;3 0 7 9 11|, &lt;0 0 0 -1 -1|]
 
Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
EDOs: 3, 6, 9, 15, 21
[[Lp tuning#L2 tuning|L2 error]]: 5.415 cents
 
[[image:augment_21edo.png]]
 
[[xenharmonic/augment6|Six note haplotonic scale]]
[[xenharmonic/augment9|Nine note albitonic scale]]
[[xenharmonic/augment12|Twelve note chromatic scale]]
 
=Oregon=
Subgroup: 2.9.15.7.11
Commas: 55/54, 64/63, 100/99
 
[[Lp tuning|POL2 generator]]: ~6/5 = 325.495
 
[[Gencom]]: [2 6/5; 55/54 64/63 100/99]
Gencom map: [&lt;1 2 3 2 4|, &lt;0 -3/2 -5/2 3 -2|]
 
Map: [&lt;1 1 1 5 2|, &lt;0 3 4 -3 2|]
EDOs: 7, 11, 37b, 48b, 59b
[[Lp tuning#L2 tuning|L2 error]]: 5.703 cents
 
[[xenharmonic/oregon7|Seven note haplotonic scale]]
[[xenharmonic/oregon11|Eleven note albitonic scale]]
[[xenharmonic/oregon15|Fifteen note chromatic scale]]
 
=Skateboard=
Subgroup: 2.5/3.7/3.11.13/9
Commas: 56/55, 91/90, 100/99
Related temperament: [[Starling family#Thrasher-13-limit|thrasher]]
 
[[Lp tuning|POL2 generator]]: ~6/5 = 313.842
 
[[Gencom]]: [2 6/5; 56/55 91/90 100/99]
Gencom map: [&lt;1 -3/7 4/7 11/7 4 -6/7|, &lt;0 0 -1 -3 -2 2|]
 
Map: [&lt;1 0 -1 2 2|, &lt;0 1 3 2 -2|]
EDOs: 11, 15, 19, 23, 42d, 65d
[[Lp tuning#L2 tuning|L2 error]]: 5.869 cents
 
[[xenharmonic/skateboard7|Seven note haplotonic scale]]
[[xenharmonic/skateboard11|Eleven note albitonic scale]]
[[xenharmonic/skateboard15|Fifteen note chromatic scale]]
 
=Glacial=
Subgroup: 2.9.5.11.13
Commas: 45/44, 65/64, 81/80
 
[[Lp tuning|POL2 generator]]: ~9/8 = 186.151
 
[[Gencom]]: [2 9/8; 45/44 65/64 81/80]
Gencom map: [&lt;1 3/2 2 0 3 4|, &lt;0 1/2 2 0 3 -2|]
 
Map: [&lt;1 0 -4 -6 10|, &lt;0 1 2 3 -2|]
EDOs: 6, 13, 45be, 58bce, 71bce, 84bce
[[Lp tuning#L2 tuning|L2 error]]: 7.073
 
[[glacial6|Six note haplotonic scale]]
[[glacial7|Seven note albitonic scale]]
[[glacial13|Thirteen note chromatic scale]]
 
=Leantone=
Subgroup: 2.9.5.7.11
Commas: 45/44, 56/55, 81/80
Related temperament: [[meanenneadecal]]
 
[[Lp tuning|POL2 generator]]: ~9/8 = 192.500
 
[[Gencom]]: [2 9/8; 45/44 56/55 81/80]
Gencom map: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]
 
Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
[[Lp tuning#L2 tuning|L2 error]]: 8.680 cents
 
[[image:leantone_81edo.png]]
 
[[xenharmonic/leantone6|Six note haplotonic scale]]
[[xenharmonic/leantone7|Seven note albitonic scale]]
[[xenharmonic/leantone13|Thirteen 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:149:&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:149 --&gt;&lt;!-- ws:start:WikiTextTocRule:150: --&gt;&lt;a href="#Definitions"&gt;Definitions&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:150 --&gt;&lt;!-- ws:start:WikiTextTocRule:151: --&gt; | &lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:151 --&gt;&lt;!-- ws:start:WikiTextTocRule:152: --&gt; | &lt;a href="#Petrtri"&gt;Petrtri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:152 --&gt;&lt;!-- ws:start:WikiTextTocRule:153: --&gt; | &lt;a href="#Tridec"&gt;Tridec&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:153 --&gt;&lt;!-- ws:start:WikiTextTocRule:154: --&gt; | &lt;a href="#Orgone"&gt;Orgone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:154 --&gt;&lt;!-- ws:start:WikiTextTocRule:155: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:155 --&gt;&lt;!-- ws:start:WikiTextTocRule:156: --&gt; | &lt;a href="#Bylun"&gt;Bylun&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:156 --&gt;&lt;!-- ws:start:WikiTextTocRule:157: --&gt; | &lt;a href="#Marveltwintri"&gt;Marveltwintri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:157 --&gt;&lt;!-- ws:start:WikiTextTocRule:158: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:158 --&gt;&lt;!-- ws:start:WikiTextTocRule:159: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:159 --&gt;&lt;!-- ws:start:WikiTextTocRule:160: --&gt;&lt;!-- ws:end:WikiTextTocRule:160 --&gt;&lt;!-- ws:start:WikiTextTocRule:161: --&gt; | &lt;a href="#Slendric"&gt;Slendric&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:161 --&gt;&lt;!-- ws:start:WikiTextTocRule:162: --&gt;&lt;!-- ws:end:WikiTextTocRule:162 --&gt;&lt;!-- ws:start:WikiTextTocRule:163: --&gt; | &lt;a href="#Haumea"&gt;Haumea&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:163 --&gt;&lt;!-- ws:start:WikiTextTocRule:164: --&gt; | &lt;a href="#Neutraltet"&gt;Neutraltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:164 --&gt;&lt;!-- ws:start:WikiTextTocRule:165: --&gt; | &lt;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:165 --&gt;&lt;!-- ws:start:WikiTextTocRule:166: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:166 --&gt;&lt;!-- ws:start:WikiTextTocRule:167: --&gt; | &lt;a href="#Penta"&gt;Penta&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:167 --&gt;&lt;!-- ws:start:WikiTextTocRule:168: --&gt; | &lt;a href="#Marveltri"&gt;Marveltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:168 --&gt;&lt;!-- ws:start:WikiTextTocRule:169: --&gt; | &lt;a href="#Bossier"&gt;Bossier&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:169 --&gt;&lt;!-- ws:start:WikiTextTocRule:170: --&gt; | &lt;a href="#Edson"&gt;Edson&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:170 --&gt;&lt;!-- ws:start:WikiTextTocRule:171: --&gt; | &lt;a href="#Shoe"&gt;Shoe&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:171 --&gt;&lt;!-- ws:start:WikiTextTocRule:172: --&gt; | &lt;a href="#Guanyintet"&gt;Guanyintet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:172 --&gt;&lt;!-- ws:start:WikiTextTocRule:173: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:173 --&gt;&lt;!-- ws:start:WikiTextTocRule:174: --&gt; | &lt;a href="#Sentry"&gt;Sentry&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:174 --&gt;&lt;!-- ws:start:WikiTextTocRule:175: --&gt; | &lt;a href="#Garibaldi"&gt;Garibaldi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:175 --&gt;&lt;!-- ws:start:WikiTextTocRule:176: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:176 --&gt;&lt;!-- ws:start:WikiTextTocRule:177: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:177 --&gt;&lt;!-- ws:start:WikiTextTocRule:178: --&gt; | &lt;a href="#Photia"&gt;Photia&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:178 --&gt;&lt;!-- ws:start:WikiTextTocRule:179: --&gt; | &lt;a href="#Mabila"&gt;Mabila&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:179 --&gt;&lt;!-- ws:start:WikiTextTocRule:180: --&gt; | &lt;a href="#Silver"&gt;Silver&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:180 --&gt;&lt;!-- ws:start:WikiTextTocRule:181: --&gt; | &lt;a href="#Starlingtet"&gt;Starlingtet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:181 --&gt;&lt;!-- ws:start:WikiTextTocRule:182: --&gt; | &lt;a href="#Gariberttet"&gt;Gariberttet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:182 --&gt;&lt;!-- ws:start:WikiTextTocRule:183: --&gt; | &lt;a href="#Namo"&gt;Namo&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:183 --&gt;&lt;!-- ws:start:WikiTextTocRule:184: --&gt; | &lt;a href="#Indium"&gt;Indium&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:184 --&gt;&lt;!-- ws:start:WikiTextTocRule:185: --&gt;&lt;!-- ws:end:WikiTextTocRule:185 --&gt;&lt;!-- ws:start:WikiTextTocRule:186: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:186 --&gt;&lt;!-- ws:start:WikiTextTocRule:187: --&gt; | &lt;a href="#Myna"&gt;Myna&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:187 --&gt;&lt;!-- ws:start:WikiTextTocRule:188: --&gt; | &lt;a href="#Lovecraft"&gt;Lovecraft&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:188 --&gt;&lt;!-- ws:start:WikiTextTocRule:189: --&gt; | &lt;a href="#Laz"&gt;Laz&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:189 --&gt;&lt;!-- ws:start:WikiTextTocRule:190: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:190 --&gt;&lt;!-- ws:start:WikiTextTocRule:191: --&gt;&lt;!-- ws:end:WikiTextTocRule:191 --&gt;&lt;!-- ws:start:WikiTextTocRule:192: --&gt; | &lt;a href="#Mothwelltri"&gt;Mothwelltri&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:192 --&gt;&lt;!-- ws:start:WikiTextTocRule:193: --&gt; | &lt;a href="#Sulis"&gt;Sulis&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:193 --&gt;&lt;!-- ws:start:WikiTextTocRule:194: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:194 --&gt;&lt;!-- ws:start:WikiTextTocRule:195: --&gt; | &lt;a href="#Orwell"&gt;Orwell&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:195 --&gt;&lt;!-- ws:start:WikiTextTocRule:196: --&gt; | &lt;a href="#Semidim"&gt;Semidim&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:196 --&gt;&lt;!-- ws:start:WikiTextTocRule:197: --&gt; | &lt;a href="#Sensi"&gt;Sensi&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:197 --&gt;&lt;!-- ws:start:WikiTextTocRule:198: --&gt; | &lt;a href="#Magicaltet"&gt;Magicaltet&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:198 --&gt;&lt;!-- ws:start:WikiTextTocRule:199: --&gt; | &lt;a href="#Magic"&gt;Magic&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:199 --&gt;&lt;!-- ws:start:WikiTextTocRule:200: --&gt;&lt;!-- ws:end:WikiTextTocRule:200 --&gt;&lt;!-- ws:start:WikiTextTocRule:201: --&gt; | &lt;a href="#Meantone"&gt;Meantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:201 --&gt;&lt;!-- ws:start:WikiTextTocRule:202: --&gt; | &lt;a href="#Kiribati"&gt;Kiribati&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:202 --&gt;&lt;!-- ws:start:WikiTextTocRule:203: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:203 --&gt;&lt;!-- ws:start:WikiTextTocRule:204: --&gt;&lt;!-- ws:end:WikiTextTocRule:204 --&gt;&lt;!-- ws:start:WikiTextTocRule:205: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:205 --&gt;&lt;!-- ws:start:WikiTextTocRule:206: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:206 --&gt;&lt;!-- ws:start:WikiTextTocRule:207: --&gt; | &lt;a href="#Archy"&gt;Archy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:207 --&gt;&lt;!-- ws:start:WikiTextTocRule:208: --&gt; | &lt;a href="#Stacks"&gt;Stacks&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:208 --&gt;&lt;!-- ws:start:WikiTextTocRule:209: --&gt; | &lt;a href="#Bleu"&gt;Bleu&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:209 --&gt;&lt;!-- ws:start:WikiTextTocRule:210: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:210 --&gt;&lt;!-- ws:start:WikiTextTocRule:211: --&gt; | &lt;a href="#Machine"&gt;Machine&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:211 --&gt;&lt;!-- ws:start:WikiTextTocRule:212: --&gt; | &lt;a href="#Sephiroth"&gt;Sephiroth&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:212 --&gt;&lt;!-- ws:start:WikiTextTocRule:213: --&gt; | &lt;a href="#Mohoho"&gt;Mohoho&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:213 --&gt;&lt;!-- ws:start:WikiTextTocRule:214: --&gt; | &lt;a href="#Deutone"&gt;Deutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:214 --&gt;&lt;!-- ws:start:WikiTextTocRule:215: --&gt; | &lt;a href="#Semaphore"&gt;Semaphore&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:215 --&gt;&lt;!-- ws:start:WikiTextTocRule:216: --&gt; | &lt;a href="#Porkypine"&gt;Porkypine&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:216 --&gt;&lt;!-- ws:start:WikiTextTocRule:217: --&gt; | &lt;a href="#Supraphon"&gt;Supraphon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:217 --&gt;&lt;!-- ws:start:WikiTextTocRule:218: --&gt; | &lt;a href="#Antikythera"&gt;Antikythera&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:218 --&gt;&lt;!-- ws:start:WikiTextTocRule:219: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:219 --&gt;&lt;!-- ws:start:WikiTextTocRule:220: --&gt; | &lt;a href="#Oregon"&gt;Oregon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:220 --&gt;&lt;!-- ws:start:WikiTextTocRule:221: --&gt; | &lt;a href="#Skateboard"&gt;Skateboard&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:221 --&gt;&lt;!-- ws:start:WikiTextTocRule:222: --&gt; | &lt;a href="#Glacial"&gt;Glacial&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:222 --&gt;&lt;!-- ws:start:WikiTextTocRule:223: --&gt; | &lt;a href="#Leantone"&gt;Leantone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:223 --&gt;&lt;!-- ws:start:WikiTextTocRule:224: --&gt;
&lt;!-- ws:end:WikiTextTocRule:224 --&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 &lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 error&lt;/a&gt;, which is an appropriate error measure for subgroups as well as full p-limit groups.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:3:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Terrain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:3 --&gt;Terrain&lt;/h1&gt;
Subgroup: 2.9/5.9/7&lt;br /&gt;
Commas: 250047/250000&lt;br /&gt;
Sval name: 6&amp;amp;21&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain"&gt;domain&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~10/9 = 182.461&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [63/50 10/9; 250047/250000]&lt;br /&gt;
Gencom map: [&amp;lt;3 10/9 -7/9 2/9|, &amp;lt;0 -2/3 -1/3 2/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.0169 cents&lt;br /&gt;
&lt;br /&gt;
Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:226:&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:226 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/10 = 455.012&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/10; 2200/2197]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 -1/3 0 -1/3 2/3|, &amp;lt;0 0 -4/3 0 5/3 -1/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1|, &amp;lt;0 3 1|]&lt;br /&gt;
EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.1835 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:227:&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:227 --&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="Tridec"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;Tridec&lt;/h1&gt;
Subgroup: 2.7/5.11/5.13/5&lt;br /&gt;
Commas: 847/845, 1001/1000&lt;br /&gt;
Sval name: 5&amp;amp;8&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/10 = 454.556&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/10; 847/845 1001/1000]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 -3/4 5/4 -3/4 1/4|, &amp;lt;0 0 0 -4 3 1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 0 1|, &amp;lt;0 -4 3 1|]&lt;br /&gt;
EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.3950 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:228:&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:228 --&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:9:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Orgone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:9 --&gt;Orgone&lt;/h1&gt;
Subgroup: 2.7.11&lt;br /&gt;
Commas: 65536/65219&lt;br /&gt;
Svals: 4&amp;amp;7&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Gamelismic%20clan#superkleismic"&gt;superkleismic&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~77/64 = 323.372&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 77/64; 65536/65219]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 2 4|, &amp;lt;0 0 0 3 -2|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 4|, &amp;lt;0 3 -2|]&lt;br /&gt;
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.4222 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:229:&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:229 --&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:11:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:11 --&gt;Nestoria&lt;/h1&gt;
Subgroup: 2.3.5.19&lt;br /&gt;
Commas: 361/360, 513/512&lt;br /&gt;
Sval name: 12&amp;amp;29&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 701.746&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 361/360 513/512]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 0 0 0 0 6|, &amp;lt;0 1 -8 0 0 0 0 -3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 9|, &amp;lt;0 1 -8 -3|]&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.4987 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:230:&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:230 --&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria17"&gt;Seventeen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:13:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Bylun"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:13 --&gt;Bylun&lt;/h1&gt;
Subgroup: 2.5.7.11/9&lt;br /&gt;
Commas: 441/440, 3136/3125&lt;br /&gt;
Related temperaments: &lt;a class="wiki_link" href="/Hemimean%20family#Belobog"&gt;belobog&lt;/a&gt;, hemithirds, hemiwürschmidt&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~28/25 = 193.550&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 28/25; 441/440 3136/3125]&lt;br /&gt;
Gencom map: [&amp;lt;1 2/5 2 2 -1/5|, &amp;lt;0 -16/5 2 5 8/5|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -3 -9|, &amp;lt;0 2 5 8|]&lt;br /&gt;
EDOs: 6, 25, 31, 180, 211, 242, 273, 304&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.5531 cents&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="Marveltwintri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:15 --&gt;Marveltwintri&lt;/h1&gt;
Subgroup: 2.5/3.13/9&lt;br /&gt;
Comma: 325/324&lt;br /&gt;
Svalname: 3&amp;amp;4&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 317.139&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 325/324]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1/6 5/6 0 0 -1/3|, &amp;lt;0 -1/2 -3/2 0 0 1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2|, &amp;lt;0 1 -2|]&lt;br /&gt;
EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.5985 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:231:&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:231 --&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:17:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:17 --&gt;Cata&lt;/h1&gt;
Subgroup: 2.3.5.13&lt;br /&gt;
Commas: 325/324, 625/624&lt;br /&gt;
Sval name: 15&amp;amp;19&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 317.076&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 325/324 625/624]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 1 0 0 0|, &amp;lt;0 6 5 0 0 14|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1 0|, &amp;lt;0 6 5 14|]&lt;br /&gt;
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6001 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:232:&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:232 --&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:19:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Bridgetown"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:19 --&gt;Bridgetown&lt;/h1&gt;
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
Commas: 352/351, 676/675&lt;br /&gt;
Sval name: 5&amp;amp;24&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago"&gt;barabados&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~15/13 = 248.399&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 15/13; 352/351 676/675]&lt;br /&gt;
Gencom map: [&amp;lt;1 2 -5/3 0 4/3 1/3|, &amp;lt;0 -2 4 0 -5 1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6154 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:233:&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:233 --&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:21:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="Bridgetown-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:21 --&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:23:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Slendric"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:23 --&gt;Slendric&lt;/h1&gt;
Subgroup: 2.3.7&lt;br /&gt;
Comma: 1029/1024&lt;br /&gt;
Sval name: 5&amp;amp;21&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~8/7 = 233.688&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 8/7; 1029/1024]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 3|, &amp;lt;0 3 0 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3|, &amp;lt;0 3 -1|]&lt;br /&gt;
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6403 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:234:&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:234 --&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:25:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="Slendric-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:25 --&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:27:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="Haumea"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:27 --&gt;Haumea&lt;/h1&gt;
Subgroup: 2.3.7/5.11/5.13/5&lt;br /&gt;
Commas: 352/351, 676/675, 847/845&lt;br /&gt;
Related temperaments: &lt;a class="wiki_link" href="/Hemifamity%20family#Namaka"&gt;namaka&lt;/a&gt;, hemigari&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~15/13 = 248.491&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 15/13; 352/351 676/675 847/845]&lt;br /&gt;
Gencom map: [&amp;lt;1 2 -3/4 -11/4 9/4 5/4|, &amp;lt;0 -2 0 12 -9 -3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 10 -6 -1|, &amp;lt;0 2 -12 9 3|]&lt;br /&gt;
EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6535 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/haumea19"&gt;Nineteen 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="Neutraltet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:29 --&gt;Neutraltet&lt;/h1&gt;
Subgroup: 2.3.11&lt;br /&gt;
Commas: 243/242&lt;br /&gt;
Svalname: 7&amp;amp;17&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 350.525&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 243/242]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2|, &amp;lt;0 2 0 0 5|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2|, &amp;lt;0 2 5|]&lt;br /&gt;
EDOs: 7, 17, 24, 65, 89, 202, 291, 380&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.6756 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:235:&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:235 --&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:31:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="Huntington"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:31 --&gt;Huntington&lt;/h1&gt;
Subgroup: 2.5.7.13&lt;br /&gt;
Commas: 640/637, 10985/10976&lt;br /&gt;
Sval name: 10&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~16/13 = 357.002&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 16/13; 640/637 10985/10976]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 5 4 0 4|, &amp;lt;0 0 -9 -4 0 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 5 4 4|, &amp;lt;0 -9 -4 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.8455 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:236:&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:236 --&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:33:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Pepperoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:33 --&gt;Pepperoni&lt;/h1&gt;
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
Commas: 352/351, 364/363&lt;br /&gt;
Sval name: 5&amp;amp;12&lt;br /&gt;
Related temperament: The &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Peppermint-24"&gt;Pepper fifth&lt;/a&gt;, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 703.856&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 352/351 364/363]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 -8/3 1/3 7/3|, &amp;lt;0 1 0 11/3 -1/3 -10/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
EDOs: 5, 7, 12, 17, 29, 46, 75, 104, 196, 271, 595bcd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.9282 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:237:&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:237 --&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:35:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Penta"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:35 --&gt;Penta&lt;/h1&gt;
Subgroup: 2.9.7.11&lt;br /&gt;
Commas: 896/891, 26411/26244&lt;br /&gt;
Svalname: 8&amp;amp;11&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 438.465&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 896/891 26411/26244]&lt;br /&gt;
Gencom map: [&amp;lt;1 5/2 0 5 2|, &amp;lt;0 -5/2 0 -6 4|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -1 6|, &amp;lt;0 5 6 -4|]&lt;br /&gt;
EDOs: 8, 11, 30, 41, 52&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.9531 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:37:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Marveltri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:37 --&gt;Marveltri&lt;/h1&gt;
Subgroup: 2.5.9/7&lt;br /&gt;
Comma: 225/224&lt;br /&gt;
Sval name: 3&amp;amp;13&lt;br /&gt;
Related temperaments: marvel, 22&amp;amp;47, magic&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~5/4 = 383.638&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 5/4; 225/224]&lt;br /&gt;
Gencom map: [&amp;lt;1 2/5 2 -1/5|, &amp;lt;0 -4/5 1 2/5|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 5|, &amp;lt;0 1 -2|]&lt;br /&gt;
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc &lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.9602 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:39:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Bossier"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:39 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~14/11 = 421.309&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 14/11; 1573/1568 15488/15379]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0 1 3|, &amp;lt;0 0 0 8 7 2|]&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, 319cd, 413bcd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 0.9904 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:238:&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:238 --&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:41:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc20"&gt;&lt;a name="Edson"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:41 --&gt;Edson&lt;/h1&gt;
Subgroup: 2.3.7/5.11/5.13/5&lt;br /&gt;
Commas: 196/195, 352/351, 364/363&lt;br /&gt;
Related temperaments: &lt;a class="wiki_link" href="/Hemifamity%20family#Pele"&gt;pele&lt;/a&gt;, cassandra&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 703.414&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 196/195, 352/351, 364/363]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 -5 -1 2 4|, &amp;lt;0 1 29/4 5/4 -11/4 -23/4|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 10 17 22|, &amp;lt;0 1 -6 -10 -13|]&lt;br /&gt;
EDOs: 12, 17, 29, 621bcde&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson17"&gt;Seventeen note 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="Shoe"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:43 --&gt;Shoe&lt;/h1&gt;
Subgroup: 2.5.7.11.13&lt;br /&gt;
Commas: 176/175, 640/637, 847/845&lt;br /&gt;
Sval name: 16&amp;amp;21&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~8/7 = 227.108&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 8/7; 176/175 640/637 847/845]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 1 3 1 2|, &amp;lt;0 0 7 -1 13 9|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 3 1 2|, &amp;lt;0 7 -1 13 9|]&lt;br /&gt;
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.331 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:239:&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:239 --&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:45:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="Guanyintet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:45 --&gt;Guanyintet&lt;/h1&gt;
Subgroup: 2.5.7/3.11/3&lt;br /&gt;
Commas: 176/175, 540/539&lt;br /&gt;
Svalname: 4&amp;amp;9&lt;br /&gt;
Related temperaments: guanyin, orwell&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~7/6 = 270.093&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 176/175 540/539]&lt;br /&gt;
Gencom map: [&amp;lt;1 -4/3 3 -1/3 5/3|, &amp;lt;0 4/3 -3 7/3 -11/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -2|, &amp;lt;0 3 -1 5|]&lt;br /&gt;
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.348 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:47:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:47 --&gt;Roulette&lt;/h1&gt;
Subgroup: 2.5.7.11.13&lt;br /&gt;
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
Sval name: 6&amp;amp;25&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family"&gt;Hemiwürschmidt&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~28/25 = 194.594&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 28/25; 176/175 1375/1372 640/637]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 2 2 2 5|, &amp;lt;0 0 2 5 9 -8|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -3 -7 13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.364 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:240:&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:240 --&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:49:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="Sentry"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:49 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 440.902&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 245/243]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0|, &amp;lt;0 0 2 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 0|, &amp;lt;0 2 1|]&lt;br /&gt;
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.421 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:51:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="Garibaldi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:51 --&gt;Garibaldi&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 225/224, 3125/3087&lt;br /&gt;
Val name: 12&amp;amp;29&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 702.085&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 225/224 3125/3087]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 11], &amp;lt;0 1 -8 -14|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 25|, &amp;lt;0 1 -8 -14|]&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.451 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:241:&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:241 --&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:53:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc26"&gt;&lt;a name="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:53 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~8/7 = 234.381&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 8/7; 896/891 1029/1024]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 3 6|, &amp;lt;0 3 0 -1 -13|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.454 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:242:&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:242 --&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:55:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc27"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:55 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/8 = 204.090&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/8; 225/224 325/324 640/637]&lt;br /&gt;
Gencom map: [&amp;lt;1 3/2 3 4 0 2|, &amp;lt;0 1/2 -4 -7 0 10|]&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;, 488cd, 635cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.469 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:243:&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:243 --&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:57:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc28"&gt;&lt;a name="Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:57 --&gt;Photia&lt;/h1&gt;
Subgroup: 2.3.5.17.19&lt;br /&gt;
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
Sval name: 12&amp;amp;41&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 701.470&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 171/170 256/255 324/323]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 7 0 0 0 0 6|, &amp;lt;0 1 -8 0 0 0 7 -3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.520 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:244:&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:244 --&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:59:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc29"&gt;&lt;a name="Mabila"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:59 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~175/128 = 527.236&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 175/128; 1071875/1048576]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 1 5}, &amp;lt;0, 0, 3, -5|]&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, 305bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.546 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:245:&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:245 --&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:61:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc30"&gt;&lt;a name="Silver"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:61 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/8 = 842.711&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/8; 170/169 640/637 5525/5488]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 -4 0 0 3 9|, &amp;lt;0 0 9 4 0 1 -7|]&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, 178e, 309cde, &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo"&gt;487bcdee&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.557 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:246:&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:246 --&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:63:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc31"&gt;&lt;a name="Starlingtet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:63 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 311.154&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 126/125]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 0 1|, &amp;lt;0 4/3 1/3 -5/3|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.680 cents&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:65:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc32"&gt;&lt;a name="Gariberttet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:65 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/11 = 293.679&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/11; 275/273 847/845]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0 0 0|, &amp;lt;0 -8/3 1/3 7/3 -1/2 1/2|]&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, 45, 49, 78, 94, 143d, 237bd, 380bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.694 cents&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:67:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc33"&gt;&lt;a name="Namo"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:67 --&gt;Namo&lt;/h1&gt;
Subgroup: 2.3.11.13&lt;br /&gt;
Commas: 144/143, 243/242&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Valinorismic%20temperaments#Mandos"&gt;mandos&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 351.488&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 144/143 243/242]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2 4|, &amp;lt;0 2 0 0 5 -1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 2 4|, &amp;lt;0 2 5 -1|]&lt;br /&gt;
EDOs: 7, 10, 17, 41, 58, 99cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.724 cents&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="Indium"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:69 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~12/11 = 147.010&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 12/11; 3025/3024 3125/3087]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1/2 -1/2 -1/2 3/2|, &amp;lt;0 -15/4 9/4 25/4 -19/4|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.741 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:247:&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:247 --&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:71:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc35"&gt;&lt;a name="Indium-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:71 --&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:73:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc36"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:73 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 351.691&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 144/143 243/242 364/363]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 -1 2 4|, &amp;lt;0 2 0 13 5 -1|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.756 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:248:&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:248 --&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:75:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc37"&gt;&lt;a name="Myna"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:75 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 310.146&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 126/125 1728/1715]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 0 1|,&amp;lt;0 10 9 7|]&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, 236c, 325cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 1.903 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:249:&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:249 --&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:77:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc38"&gt;&lt;a name="Lovecraft"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:77 --&gt;Lovecraft&lt;/h1&gt;
Group: 2.11.13&lt;br /&gt;
Commas: 1352/1331&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/11 = 279.318&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/11; 1352/1331]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 0 3 3|, &amp;lt;0 0 0 0 2 3|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.070 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:250:&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:250 --&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:79:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc39"&gt;&lt;a name="Laz"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:79 --&gt;Laz&lt;/h1&gt;
Subgroup: 2.5.7/3.11/3.13/3&lt;br /&gt;
Commas: 144/143, 176/175, 196/195&lt;br /&gt;
Related temperaments: &lt;a class="wiki_link" href="/Orwellismic%20family#Guanyin-Georgian"&gt;georgian&lt;/a&gt;, winston &lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~7/6 = 269.300&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 144/143 176/175 196/195]&lt;br /&gt;
Gencom map: [&amp;lt;1 -5/4 3 -1/4 7/4 -1/4|, &amp;lt;0 -1/4 -3 3/4 -21/4 19/4|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 2 -2 6|, &amp;lt;0 3 -1 5 -5|]&lt;br /&gt;
EDOs: 9, 31, 40, 49, 58, 156bde, 205bde&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.153 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/laz5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/laz9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/laz13"&gt;Thirteen note chromatic scale&lt;/a&gt;&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="Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:81 --&gt;Greeley&lt;/h1&gt;
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Commas: 121/120, 126/125&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Porcupine%20family#Opossum"&gt;Opossum&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/10 = 155.776&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/10; 121/120 126/125]&lt;br /&gt;
Gencom map: &amp;lt;1 -5/4 -1/4 3/4 3/4|, &amp;lt;0 9/4 1/4 -15/4 5/4|]&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, 54, 77, 100, 131d, 208bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.313 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:251:&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:251 --&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:83:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc41"&gt;&lt;a name="Greeley-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:83 --&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:85:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc42"&gt;&lt;a name="Mothwelltri"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:85 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~7/6 = 273.174&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 99/98]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1/2 0 1/2 3|, &amp;lt;0 -1/2 0 1/2 2|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 1|, &amp;lt;0 1 2|]&lt;br /&gt;
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.380 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:87:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc43"&gt;&lt;a name="Sulis"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:87 --&gt;Sulis&lt;/h1&gt;
Subgroup: 2.5.9/7.11/9&lt;br /&gt;
Commas: 99/98, 176/175&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Marvel%20family#Minerva"&gt;minerva&lt;/a&gt;, würschmidt&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~5/4 = 386.558&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 5/4; 99/98 176/175]&lt;br /&gt;
Gencom map: [&amp;lt;1 4/9 2 -1/9 -1/9|, &amp;lt;0 -4/3 1 -2/3 4/3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 5 -9|, &amp;lt;0 1 -2 4|]&lt;br /&gt;
EDOs: 22, 25, 28, 31, 59, 90c, 149c&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.402 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sulis7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sulis10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sulis13"&gt;Thirteen 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="Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:89 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 425.244&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 99/98 243/242]&lt;br /&gt;
Gencom map: [&amp;lt;1 3 0 6 7|, &amp;lt;0 -4 0 -9 -10|]&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, 206bcd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.457 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:252:&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:252 --&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:91:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc45"&gt;&lt;a name="Orwell"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:91 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~7/6 = 271.426&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 99/98 121/120 176/175]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 3 1 3|, &amp;lt;0 7 -3 8 2|]&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, 84e&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.574 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:253:&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:253 --&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:93:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc46"&gt;&lt;a name="Semidim"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:93 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/10 = 453.242&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/10; 121/120 169/168 275/273]&lt;br /&gt;
Gencom map: [&amp;lt;1 -3 0 2 0 1|, &amp;lt;0 24/5 -6/5 -26/5 9/5 -1/5|]&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, 44, 45, 188bde, &lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.577 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:254:&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:254 --&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:95:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc47"&gt;&lt;a name="Sensi"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:95 --&gt;Sensi&lt;/h1&gt;
Group: 2.3.5.7&lt;br /&gt;
Commas: 126/125, 245/243&lt;br /&gt;
Val name: 19&amp;amp;27&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 443.383&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 126/125 245/243]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1 -1 -2|, &amp;lt;0 7 9 13|]&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, 157d, 203cd, 249cd, 295cd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.647 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:255:&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:255 --&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:97:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc48"&gt;&lt;a name="Magicaltet"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:97 --&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, superkleismic, magic&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 322.659&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 100/99 385/384]&lt;br /&gt;
Gencom map: [&amp;lt;1 -1/2 1/2 2 4|, &amp;lt;0 1/2 -1/2 3 -2|]&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, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.696 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:99:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc49"&gt;&lt;a name="Magic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:99 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~5/4 = 380.696&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 5/4; 100/99 225/224 245/243]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 2 -1 6|, &amp;lt;0 5 1 12 -8|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.741 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:256:&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:256 --&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:101:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc50"&gt;&lt;a name="Magic-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:101 --&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:103:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc51"&gt;&lt;a name="Meantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:103 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 696.495&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 81/80 126/125]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 -3|, &amp;lt;0 1 4 10|]&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, 112b, 143b&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.763 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:257:&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:257 --&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:105:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc52"&gt;&lt;a name="Kiribati"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:105 --&gt;Kiribati&lt;/h1&gt;
Subgroup: 2.9/5.7/3.11/9&lt;br /&gt;
Commas: 100/99, 245/242&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Octagar%20family"&gt;nakika&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~21/20 = 87.892&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 21/20; 100/99 245/242]&lt;br /&gt;
Gencom map: [&amp;lt;1 1/10 -4/5 11/10 1/5|, &amp;lt;0 -3/2 -1 3/2 1|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 0|, &amp;lt;0 -2 3 4|]&lt;br /&gt;
EDOs: 13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 2.784 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/kiribati13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/kiribati14"&gt;Fourteen 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="Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:107 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 348.094&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 81/80 121/120]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2|, &amp;lt;[0 2 8 0 5|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.113 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:258:&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:258 --&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:109:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc54"&gt;&lt;a name="Mohaha-Music"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:109 --&gt;Music&lt;/h2&gt;
&lt;a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow"&gt;Mohaha10ping2&lt;/a&gt; by &lt;a class="wiki_link" href="/Billy%20Stiltner"&gt;Billy Stiltner&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:111:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc55"&gt;&lt;a name="Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:111 --&gt;Score&lt;/h1&gt;
Subgroup: 2.7.11.13&lt;br /&gt;
Commas: 343/338, 847/832&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/8 = 540.099&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/8; 343/338 847/832]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 0 1 3 1|, &amp;lt;0 0 0 4 1 6|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.141 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:259:&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:259 --&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:113:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc56"&gt;&lt;a name="Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:113 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/8 = 193.937&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/8; 81/80 99/98 126/125]&lt;br /&gt;
Gencom map: [&amp;lt;1 3/2 2 2 2|, &amp;lt;0 1/2 2 5 9|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.218 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:260:&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:260 --&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="Archy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:115 --&gt;Archy&lt;/h1&gt;
Subgroup: 2.3.7&lt;br /&gt;
Comma: 64/63&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 709.321&lt;br /&gt;
&lt;br /&gt;
Gencom: [2 3/2; 64/63]&lt;br /&gt;
Gencom mapping: [&amp;lt;1 1 0 4|, &amp;lt;0 1 0 -2|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 2|, &amp;lt;0 -1 2|]&lt;br /&gt;
EDOs: 5, 12, 17, 22, 27, 137bc&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.713 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/archy5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/archy7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/archy12"&gt;Twelve 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="Stacks"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:117 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/7 = 439.146&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/7; 100/99 105/104 144/143 196/195]&lt;br /&gt;
Gencom map: [&amp;lt;1 5/2 5/2 5 2 7|, &amp;lt;0 -5/2 -1/2 -6 4 -9|]&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, 153cdef, 194cdef, 235cdef&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 3.772 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:119:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc59"&gt;&lt;a name="Bleu"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:119 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~13/12 = 139.990&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 13/12; 78/77 99/98 144/143]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 2 3 3|, &amp;lt;0 5 0 7 4 6|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.292 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:261:&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:261 --&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:121:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc60"&gt;&lt;a name="Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:121 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 707.192&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 64/63 99/98]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 4 7|, &amp;lt;0 1 0 -2 -6|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.421 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:262:&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:262 --&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:123:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc61"&gt;&lt;a name="Machine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:123 --&gt;Machine&lt;/h1&gt;
Subgroup: 2.9.7.11&lt;br /&gt;
Commas: 64/63, 99/98&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/8 = 214.384&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/8; 64/63 99/98]&lt;br /&gt;
Gencom map: [&amp;lt;1 3/2 0 3 4|, &amp;lt;0 1/2 0 -1 -3|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.421 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:263:&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:263 --&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:125:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc62"&gt;&lt;a name="Sephiroth"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:125 --&gt;Sephiroth&lt;/h1&gt;
Subgroup: 2.5.11.13.17&lt;br /&gt;
Commas: 65/64, 170/169, 221/220&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~5/4 = 372.236&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 5/4; 65/64 170/169 221/220]&lt;br /&gt;
Gencom map: [&amp;lt;1 0 2 0 5 4 5|, &amp;lt;0 0 1 0 -5 -1 -3|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 15 6 11|, &amp;lt;0 1 -5 -1 -3|]&lt;br /&gt;
EDOs: 10, 13, 16, 29c&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.694 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth7"&gt;seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/sephiroth16"&gt;Sixteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:127:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc63"&gt;&lt;a name="Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:127 --&gt;Mohoho&lt;/h1&gt;
Subgroup: 2.3.5.11.13&lt;br /&gt;
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~11/9 = 348.916&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 11/9; 66/65 81/80 121/120]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 0 2 4|, &amp;lt;0 2 8 0 5 -1|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.829 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:129:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc64"&gt;&lt;a name="Deutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:129 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/8 = 191.059&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/8; 65/64 81/80 91/90]&lt;br /&gt;
Gencom map: [&amp;lt;1 3/2 2 2 0 4|, &amp;lt;0 1/2 2 5 0 -2|]&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, 25e, 44de&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 4.906 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:264:&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:264 --&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:131:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc65"&gt;&lt;a name="Semaphore"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:131 --&gt;Semaphore&lt;/h1&gt;
Subgroup: 2.3.7&lt;br /&gt;
Comma: 49/48&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~7/6 = 250.385&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 7/6; 49/48]&lt;br /&gt;
Gencom map: [&amp;lt;1 2 0 3}, &amp;lt;0 -2 0 -1|]&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, 67c, 91c&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 5.046 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:265:&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:265 --&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:133:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc66"&gt;&lt;a name="Porkypine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:133 --&gt;Porkypine&lt;/h1&gt;
Subgroup: 2.3.5.11&lt;br /&gt;
Commas: 55/54, 100/99&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~10/9 = 164.078&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 10/9; 55/54 100/99]&lt;br /&gt;
Gencom map: [&amp;lt;1 2 3 0 4|], &amp;lt;0 -3 -5 0 -4|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 2 3 4|, &amp;lt;0 3 5 4|]&lt;br /&gt;
EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 5.114&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/porkypine15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:135:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc67"&gt;&lt;a name="Supraphon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:135 --&gt;Supraphon&lt;/h1&gt;
Subgroup: 2.3.7.11.13&lt;br /&gt;
Commas: 64/63, 78/77, 99/98&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~3/2 = 706.137&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 3/2; 64/63 78/77 99/98]&lt;br /&gt;
Gencom map: [&amp;lt;1 1 0 4 7 9|, &amp;lt;0 1 0 -2 -6 -9|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 5.132 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:137:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc68"&gt;&lt;a name="Antikythera"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:137 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~8/7 = 214.095&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [7/5 8/7; 50/49 64/63]&lt;br /&gt;
Gencom map: [&amp;lt;2 3 5 6|, &amp;lt;0 1/2 -1 -1|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 5.145 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:266:&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:266 --&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:139:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc69"&gt;&lt;a name="Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:139 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~8/7 = 228.275&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [5/4 8/7; 56/55 128/125]&lt;br /&gt;
Gencom map: [&amp;lt;3 0 7 9 11|, &amp;lt;0 0 0 -1 -1|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 5.415 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:267:&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:267 --&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;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:141:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc70"&gt;&lt;a name="Oregon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:141 --&gt;Oregon&lt;/h1&gt;
Subgroup: 2.9.15.7.11&lt;br /&gt;
Commas: 55/54, 64/63, 100/99&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 325.495&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 55/54 64/63 100/99]&lt;br /&gt;
Gencom map: [&amp;lt;1 2 3 2 4|, &amp;lt;0 -3/2 -5/2 3 -2|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 1 1 5 2|, &amp;lt;0 3 4 -3 2|]&lt;br /&gt;
EDOs: 7, 11, 37b, 48b, 59b&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 5.703 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/oregon15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:143:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc71"&gt;&lt;a name="Skateboard"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:143 --&gt;Skateboard&lt;/h1&gt;
Subgroup: 2.5/3.7/3.11.13/9&lt;br /&gt;
Commas: 56/55, 91/90, 100/99&lt;br /&gt;
Related temperament: &lt;a class="wiki_link" href="/Starling%20family#Thrasher-13-limit"&gt;thrasher&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~6/5 = 313.842&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 6/5; 56/55 91/90 100/99]&lt;br /&gt;
Gencom map: [&amp;lt;1 -3/7 4/7 11/7 4 -6/7|, &amp;lt;0 0 -1 -3 -2 2|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -1 2 2|, &amp;lt;0 1 3 2 -2|]&lt;br /&gt;
EDOs: 11, 15, 19, 23, 42d, 65d&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 5.869 cents&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skateboard7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skateboard11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/skateboard15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:145:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc72"&gt;&lt;a name="Glacial"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:145 --&gt;Glacial&lt;/h1&gt;
Subgroup: 2.9.5.11.13&lt;br /&gt;
Commas: 45/44, 65/64, 81/80&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/8 = 186.151&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/8; 45/44 65/64 81/80]&lt;br /&gt;
Gencom map: [&amp;lt;1 3/2 2 0 3 4|, &amp;lt;0 1/2 2 0 3 -2|]&lt;br /&gt;
&lt;br /&gt;
Map: [&amp;lt;1 0 -4 -6 10|, &amp;lt;0 1 2 3 -2|]&lt;br /&gt;
EDOs: 6, 13, 45be, 58bce, 71bce, 84bce&lt;br /&gt;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 7.073&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/glacial6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/glacial7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
&lt;a class="wiki_link" href="/glacial13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:147:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc73"&gt;&lt;a name="Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:147 --&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;
&lt;a class="wiki_link" href="/Lp%20tuning"&gt;POL2 generator&lt;/a&gt;: ~9/8 = 192.500&lt;br /&gt;
&lt;br /&gt;
&lt;a class="wiki_link" href="/Gencom"&gt;Gencom&lt;/a&gt;: [2 9/8; 45/44 56/55 81/80]&lt;br /&gt;
Gencom map: [&amp;lt;1 3/2 2 2 3|, &amp;lt;0 1/2 2 5 3|]&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;
&lt;a class="wiki_link" href="/Lp%20tuning#L2 tuning"&gt;L2 error&lt;/a&gt;: 8.680 cents&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:268:&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:268 --&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;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 00:23, 24 June 2025

A chromatic pair is a pair of mos scales in some rank-2 temperament (either a full p-limit temperament or a subgroup temperament) that are analogous to the familiar diatonic and chromatic scales of standard tuning. The smaller scale is an albitonic scale (from Latin albus, "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a chromatic scale, analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a haplotonic scale (from Greek haplóos, "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.

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

Terrain

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

Scales:

Music

Petrtri

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

Scales:

Barton

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

Scales:

  • Barton5 – 5-tone haplotonic scale
  • Barton7 – 7-tone albitonic scale
  • Barton9 – 9-tone mega-albitonic scale
  • Barton11 – 11-tone chromatic scale
  • Barton13 – 13-tone mega-chromatic scale

Tridec

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

Scales:

Nestoria

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

Scales:

Orgone

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

Scales:

Marveltwintri

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

Scales:

Cata

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

Scales:

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

Bridgetown

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

Scales:

Music

Haumea

See also: Subgroup temperaments § Haumea

Scales:

Neutral

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

Scales:

Music

Slendric

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

Scales:

Huntington

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

Scales:

Tobago

See also: Subgroup temperaments § Tobago

Scales:

Pepperoni

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

Scales:

Wizz

See also: No-threes subgroup temperaments § Wizz

Scales:

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

Bossier

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

Scales:

Penta a.k.a. mechanism

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

Scales:

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

Bluebirds

See also: No-threes subgroup temperaments § Bluebirds

Scales:

Marveltri

See also: Subgroup temperaments § Marveltri

Scales:

Edson

See also: Subgroup temperaments § Edson

Scales:

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

Photia

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

Scales:

Shoe a.k.a. llywelyn

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

Scales:

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

Roulette

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

Scales:

Silver

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

Scales:

Baldy

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

Scales

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


Guanyintet

See also: Subgroup temperaments § Guanyintet

Scales:

Radon

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

Gariberttet

See also: Subgroup temperaments § Gariberttet

Scales:

Namo

See also: Rastmic clan § Namo

Scales:

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

Sentry

See also: Subgroup temperaments § Sentry

Scales:

Hemif

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

Scales:

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

Garibaldi

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

Scales:

Mabilic

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

Scales:

Indium

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

Scales:

Music

Starlingtet

See also: Subgroup temperaments § Starlingtet

Scales:

Lovecraft

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

Scales:

Blackbirds

See also: No-threes subgroup temperaments § Blackbirds

Scales:

Laz

See also: Subgroup temperaments § Laz

Scales:

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

Myna

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

Scales:

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

Greeley

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

Scales:

Music

Ammon

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

Scales:

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

Mothwelltri

See also: Subgroup temperaments § Mothwelltri

Scales:

Sulis

See also: Subgroup temperaments § Sulis

Scales:

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

Skwares

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

Scales:

Orwell

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

Scales:

Magicaltet

See also: Subgroup temperaments § Magicaltet

Scales:

Magic

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

Scales:

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

Kiribati

See also: Subgroup temperaments § Kiribati

Scales:

Score

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

Scales:

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

Sensi

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

Scales:

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

Sensation

Main article: Sensi
See also: Sensipent family § Sensi

Scales:

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

Meantone

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

Scales:

Mohaha

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

Scales:

Music:

Billy Stiltner

Mohoho

See also: Rastmic clan § Mohoho

Joan

See also: Subgroup temperaments § Joan

Scales:

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

Tutone

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

Scales:

Stacks

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

Scales:

Bleu

See also: No-fives subgroup temperaments § Bleu

Scales:

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

Sephiroth

See also: No-threes subgroup temperaments § Sephiroth

Scales:

Archy

Main article: Superpyth
See also: Archytas clan § Archy

Scales:

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

Supra

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

Scales:

Supraphon

Main article: Superpyth
See also: Archytas clan § Supraphon

Suhajira

See also: Archytas clan § Suhajira

Scales:

Machine

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

Scales:

Deutone

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

Scales:

Negra

Main article: Negri
See also: Marvel temperaments § Negri

Porkypine

Main article: Porcupine
See also: Porcupine family § Porcupine

Scales:

Skateboard

See also: Subgroup temperaments § Skateboard

Scales:

Augment

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

Scales:

Semaphore

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

Scales:

Kryptonite

See also: Subgroup temperaments § Kryptonite

Scales:

Oregon

See also: Orgonia § Oregon

Scales:

Antikythera

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

Scales:

Glacial

See also: Subgroup temperaments § Glacial

Scales:

Leantone

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

Scales:

Notes

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