Chromatic pairs: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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<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">By a //chromatic pair// is meant a pair of MOS in some rank two temperament (which may often be a [[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 TE error; since this is a weighted measure, subgroups which emphasize the higher primes will get a lower error rating because of it. Even so, note that many of these temperaments are quite accurate.


[[toc|flat]]
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.


=Terrain=
== Terrain ==
Subgroup: 2.9/5.9/7
{{See also| Subgroup temperaments #Terrain }}
Commas: 250047/250000


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


Map: [&lt;3 0 -4|, &lt;0 1 2|]
Scales:  
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
* [[Terrain9]] – 9-tone albitonic scale
Error: 0.0859 cents
* [[Terrain15]] – 15-tone chromatic scale


Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.
; Music
* ''5 5 1 mode of 33 equal'' (2013) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ blog] | [https://www.youtube.com/watch?v=2gYdUOPHXSQ YouTube] | [https://web.archive.org/web/20201127015117/http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play]


[[terrain9|Nine note albitonic scale]]
== Petrtri ==
[[terrain15|Fifteen note chromatic scale]]
{{See also| Subgroup temperaments #Petrtri }}


=Nestoria=
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]
Subgroup: 2.3.5.19
Commas: 361/360, 513/512
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.746
Scales:  
* [[Petrtri5]] – 5-tone haplotonic scale
* [[Petrtri8]] – 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]
== Barton ==
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
Error: 0.611 cents
{{See also| The Jacobins #Barton }}


[[nestoria7|Seven note albitonic scale]]
Scales:
[[nestoria12|Twelve note chromatic scale]]
* [[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


==Photia==
== Tridec ==
Subgroup 2.3.5.17.19
{{See also| Subgroup temperaments #Tridec }}
Commas: 171/170, 256/255, 324/323
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.470
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 65
* [[Tridec8]] – 8-tone albitonic scale
Error: 1.512 cents
* [[Tridec13]] – 13-tone chromatic scale


[[photia7|Seven note albitonic scale]]
== Nestoria ==
[[photia12|Twelve note chromatic scale]]
{{See also| Schismatic family #Nestoria (2.3.5.19)}}


=Cata=
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]
Subgroup: 2.3.5.13
Commas: 325/324, 625/624
Related temperament: [[Kleismic family|catakleismic]]


POTE generator: ~6/5 = 317.076
Scales:  
* [[Nestoria7]] – 7-tone albitonic scale
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
== Orgone ==
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
{{Main| Orgone }}
Error: 0.735 cents
{{See also| Orgonia #Orgone }}


[[cata7|Seven note albitonic scale]]
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
[[cata11|Eleven note mega albitonic scale]]
[[cata15|Fifteen note chromatic scale]]
[[cata19|Nineteen note mega chromatic scale]]


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


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


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
EDOs: 5, 9, 14, 19, 24, 29
Error: 0.8489 cents


[[bridgetown9|Nine note albitonic scale]]
Scales:
[[bridgetown14|Fourteen note chromatic scale]]
* [[Marveltwintri7]] – 7-tone albitonic scale
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


=Huntington=
== Cata ==
Subgroup: 2.5.7.13
{{Main| Kleismic }}
Commas: 640/637, 10985/10976
{{See also| Kleismic family #Cata }}


POTE generator: ~16/13 = 357.002
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
Scales:  
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
* [[Cata7]] – 7-tone albitonic scale
Error: 1.036 cents
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


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


=Roulette=
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]
Subgroup: 2.5.7.11.13
Commas: 176/175, 1375/1372, 640/637
Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]


POTE generator: ~28/25 = 194.594
Scales:  
* [[Bridgetown9]] – 9-tone albitonic scale
* [[Bridgetown14]] – 14-tone chromatic scale


Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]
; Music
EDOs: 6, 7, 13, 19, 25, 31, 37
* [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]]
Error: 1.363 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


[[roulette6|Six note haplotonic scale]]
== Haumea ==
[[roulette7|Seven note albitonic scale]]
{{See also| Subgroup temperaments #Haumea }}
[[roulette13|Thirteen note chromatic scale]]
[[roulette19|Nineteen note mega chromatic scale]]


=Baldy=
Scales:
Subgroup: 2.9.5.7.13
* [[Haumea5]] – 5-tone haplotonic scale
Commas: 225/224, 325/325, 640/637
* [[Haumea9]] – 9-tone albitonic scale
Related temperament: [[Schismatic family|Garibaldi]]
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


POTE generator: ~9/8 = 204.090
== Neutral ==
{{See also| Rastmic clan #Neutral }}


Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
Error: 1.469 cents


[[baldy6|Six note haplotonic scale]]
Scales:
[[baldy11|Eleven note albitonic scale]]
* [[Neutral7]] – 7-tone albitonic scale
[[baldy17|Seventeen note chromatic scale]]
* [[Neutral10]] – 10-tone chromatic scale
* [[Neutral17]] – 17-tone mega-chromatic scale


=Hemif=
; Music
Subgroup: 2.3.7.11.13
* [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning
Commas: 144/143, 243/242, 364/363
Related temperament: [[Breedsmic temperaments|Hemififths]]


POTE generator: ~11/9 = 351.691
== Slendric ==
{{Main| Slendric }}
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
EDOs: 7, 10, 17, 24, 41, 58
Error: 1.756


[[hemif7|Seven note haplotonic scale]]
Scales:
[[hemif10|Ten note albitonic scale]]
* [[Slendric5]] – 5-tone haplotonic scale
[[hemif17|Seventeen note chromatic scale]]
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


=Radon=
== Huntington ==
Subgroup: 2.3.7.11
{{See also| No-threes subgroup temperaments #Huntington }}
Commas: 896/891, 1029/1024
Related temperament: [[Gamelismic clan|Rodan]]


POTE generator: ~8/7 = 234.381
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]


Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
Scales:  
EDOs: 5, 36, 41, 87, 128
* [[Huntington7]] – 7-tone haplotonic scale
Error: 1.781 cents
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


[[radon5|Five note haplotonic scale]]
== Tobago ==
[[radon11|Eleven note albitonic scale]]
{{See also| Subgroup temperaments #Tobago }}
[[radon16|Sixteen note chromatic scale]]


=Pepperoni=
Scales:
Subgroup: 2.3.11/7.13/7
* [[Tobago6]] – 6-tone haplotonic scale
Commas: 352/351, 364/363
* [[Tobago10]] – 10-tone albitonic scale
Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]]
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


POTE generator: ~3/2 = 704.052
== Pepperoni ==
{{See also| Parapyth }}
{{See also| Subgroup temperaments #Pepperoni }}


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
Error: 2.155 cents


[[pepperoni7|Seven note albitonic scale]]
Scales:
[[pepperoni12|Twelve note chromatic scale]]
* [[Pepperoni7]] – 7-tone albitonic scale
* [[Pepperoni12]] – 12-tone chromatic scale


=Skwares=
== Wizz ==
Subgroup: 2.3.7.11
{{See also| No-threes subgroup temperaments #Wizz }}
Commas: 99/98, 243/242
Related temperament: [[Meantone family|squares]]


POTE generator: ~9/7 = 425.244
Scales:  
* [[Wizz6]] – 6-tone haplotonic scale
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
== Bossier ==
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
{{See also| No-threes subgroup temperaments #Bossier }}
Error: 3.009 cents


[[skwares8|Eight note albitonic scale]]
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
[[skwares11|Eleven note mega albitonic scale]]
[[skwares14|Fourteen note chromatic scale]]


=Tutone=
Scales:
Subgroup: 2.9.5.7.11
* [[Bossier8]] – 8-tone albitonic scale
Commas: 81/80, 99/98, 126/125
* [[Bossier11]] – 11-tone chromatic scale
Related temperament: [[Meantone family|meantone]]
* [[Bossier14]] – 14-tone mega-chromatic scale


POTE generator: ~9/8 = 193.937
== Penta a.k.a. mechanism ==
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 99
* [[Penta5]] – 5-tone haplotonic scale
Error: 3.218 cents
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] 19-tone mega-chromatic scale


[[tutone6|Six note haplotonic scale]]
== Bluebirds ==
[[tutone7|Seven note albitonic scale]]
{{See also| No-threes subgroup temperaments #Bluebirds }}
[[tutone13|Thirteen note chromatic scale]]


==Leantone==
Scales:
Subgroup: 2.9.5.7.11
* [[Bluebirds6]] – 6-tone haplotonic scale
Commas: 45/44, 56/55, 81/80
* [[Bluebirds7]] – 7-tone albitonic scale
Related temperament: [[Meantone family|flattone]]
* [[Bluebirds13]] – 13-tone chromatic scale


POTE generator: ~9/8 = 192.500
== Marveltri ==
{{See also| Subgroup temperaments #Marveltri }}


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
* [[Marveltri7]] – 7-tone albitonic scale
Error: 8.680 cents
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


[[leantone6|Six note haplotonic scale]]
== Edson ==
[[leantone7|Seven note albitonic scale]]
{{See also| Subgroup temperaments #Edson }}
[[leantone13|Thirteen note chromatic scale]]


=Mohaha=
Scales:
Subgroup: 2.3.5.11
* [[Edson5]] – 5-tone haplotonic scale
Commas: 81/80, 121/120
* [[Edson7]] – 7-tone albitonic scale
Related temperament: [[Meantone family|mohajira]]
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


POTE generator: ~11/9 = 348.094
== Photia ==
{{See also| Schismatic family #Photia (2.3.5.17) }}


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
EDOs: 7, 10, 17, 24, 31, 131
Error: 3.813 cents


[[mohaha7|Seven note albitonic scale]]
Scales:
[[mohaha10|Ten note chromatic scale]]
* [[Photia7]] – 7-tone albitonic scale
* [[Photia12]] – 12-tone chromatic scale


==Mohoho==
== Shoe a.k.a. llywelyn ==
Subgroup: 2.3.5.11.13
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}
Commas: 66/65, 81/80, 121/120


POTE generator: ~11/9 = 348.916
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]


Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
Scales:
EDOs: 7, 10, 17, 24, 31, 55
* [[Shoe5]] – 5-tone mini-haplotonic scale
Error: 4.829 cents
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


=Score=
== Roulette ==
Subgroup: 2.7.11.13
{{See also | Hemimean clan #Roulette }}
Commas: 343/338, 847/832


POTE generator: ~11/8 = 540.099
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
Scales:  
EDOs: 5, 7, 9, 11, 20
* [[Roulette6]] – 6-tone haplotonic scale
Error: 3.846 cents
* [[Roulette7]] – 7-tone albitonic scale
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


[[score5|Five note haplotonic scale]]
== Silver ==
[[score7|Seven note albitonic scale]]
{{See also | No-threes subgroup temperaments #Silver }}
[[score9|Nine note mega albitonic scale]]
[[score11|Eleven note chromatic scale]]


=Supra=
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[Archytas clan|superpyth]]


POTE generator: ~3/2 = 707.192
Scales:  
* [[Silver7]] – 7-tone haplotonic scale
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
== Baldy ==
EDOs: 5, 7, 12, 17, 22, 39, 56
{{See also| Subgroup temperaments #Baldy }}
Error: 5.414 cents


[[supra7|Seven note albitonic scale]]
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
[[supra12|Twelve note chromatic scale]]


=Augment=
Scales
Subgroup: 2.5.7.11
* [[Baldy6]] – 6-tone haplotonic scale
Commas: 56/55, 128/125
* [[Baldy11]] – 11-tone albitonic scale
Related temperament: [[Augmented family|augmented]]
* [[Baldy17]] – 17-tone chromatic scale


POTE generator: ~8/7


Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
== Guanyintet ==
EDOs: 3, 6, 9, 15, 21
{{See also | Subgroup temperaments #Guanyintet }}
Error: 6.632 cents


[[augment6|Six note haplotonic scale]]
Scales:
[[augment9|Nine note albitonic scale]]
* [[Guanyintet5]] – 5-tone haplotonic scale
[[augment12|Twelve note chromatic scale]]
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


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


POTE generator: ~11/10 = 156.055
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
* [[Radon5]] – 5-tone haplotonic scale
EDOs: 8, 15, 23, 77, 100
* [[Radon11]] – 11-tone albitonic scale
Error: 7.555 cents
* [[Radon16]] – 16-tone chromatic scale


[[greeley8|Eight note albitonic scale]]
== Gariberttet ==
[[greeley15|Fifteen note chromatic scale]]
{{See also | Subgroup temperaments #Gariberttet }}
</pre></div>
 
<h4>Original HTML content:</h4>
Scales:
<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;By a &lt;em&gt;chromatic pair&lt;/em&gt; is meant a pair of MOS in some rank two temperament (which may often be a &lt;a class="wiki_link" href="/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 TE error; since this is a weighted measure, subgroups which emphasize the higher primes will get a lower error rating because of it. Even so, note that many of these temperaments are quite accurate.&lt;br /&gt;
* [[Gariberttet5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Gariberttet9]] – 9-tone albitonic scale
&lt;!-- ws:start:WikiTextTocRule:40:&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:40 --&gt;&lt;!-- ws:start:WikiTextTocRule:41: --&gt;&lt;a href="#Terrain"&gt;Terrain&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:41 --&gt;&lt;!-- ws:start:WikiTextTocRule:42: --&gt; | &lt;a href="#Nestoria"&gt;Nestoria&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:42 --&gt;&lt;!-- ws:start:WikiTextTocRule:43: --&gt;&lt;!-- ws:end:WikiTextTocRule:43 --&gt;&lt;!-- ws:start:WikiTextTocRule:44: --&gt; | &lt;a href="#Cata"&gt;Cata&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:44 --&gt;&lt;!-- ws:start:WikiTextTocRule:45: --&gt; | &lt;a href="#Bridgetown"&gt;Bridgetown&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:45 --&gt;&lt;!-- ws:start:WikiTextTocRule:46: --&gt; | &lt;a href="#Huntington"&gt;Huntington&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:46 --&gt;&lt;!-- ws:start:WikiTextTocRule:47: --&gt; | &lt;a href="#Roulette"&gt;Roulette&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:47 --&gt;&lt;!-- ws:start:WikiTextTocRule:48: --&gt; | &lt;a href="#Baldy"&gt;Baldy&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:48 --&gt;&lt;!-- ws:start:WikiTextTocRule:49: --&gt; | &lt;a href="#Hemif"&gt;Hemif&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:49 --&gt;&lt;!-- ws:start:WikiTextTocRule:50: --&gt; | &lt;a href="#Radon"&gt;Radon&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:50 --&gt;&lt;!-- ws:start:WikiTextTocRule:51: --&gt; | &lt;a href="#Pepperoni"&gt;Pepperoni&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:51 --&gt;&lt;!-- ws:start:WikiTextTocRule:52: --&gt; | &lt;a href="#Skwares"&gt;Skwares&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:52 --&gt;&lt;!-- ws:start:WikiTextTocRule:53: --&gt; | &lt;a href="#Tutone"&gt;Tutone&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:53 --&gt;&lt;!-- ws:start:WikiTextTocRule:54: --&gt;&lt;!-- ws:end:WikiTextTocRule:54 --&gt;&lt;!-- ws:start:WikiTextTocRule:55: --&gt; | &lt;a href="#Mohaha"&gt;Mohaha&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:55 --&gt;&lt;!-- ws:start:WikiTextTocRule:56: --&gt;&lt;!-- ws:end:WikiTextTocRule:56 --&gt;&lt;!-- ws:start:WikiTextTocRule:57: --&gt; | &lt;a href="#Score"&gt;Score&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:57 --&gt;&lt;!-- ws:start:WikiTextTocRule:58: --&gt; | &lt;a href="#Supra"&gt;Supra&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:58 --&gt;&lt;!-- ws:start:WikiTextTocRule:59: --&gt; | &lt;a href="#Augment"&gt;Augment&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:59 --&gt;&lt;!-- ws:start:WikiTextTocRule:60: --&gt; | &lt;a href="#Greeley"&gt;Greeley&lt;/a&gt;&lt;!-- ws:end:WikiTextTocRule:60 --&gt;&lt;!-- ws:start:WikiTextTocRule:61: --&gt;
* [[Gariberttet13]] – 13-tone chromatic scale
&lt;!-- ws:end:WikiTextTocRule:61 --&gt;&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="Terrain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Terrain&lt;/h1&gt;
== Namo ==
Subgroup: 2.9/5.9/7&lt;br /&gt;
{{See also| Rastmic clan #Namo }}
Commas: 250047/250000&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~10/9 = 182.462&lt;br /&gt;
* [[Namo7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Namo10]] – 10-tone albitonic scale
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
* [[Namo17]] – 17-tone chromatic scale
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
 
Error: 0.0859 cents&lt;br /&gt;
== Sentry ==
&lt;br /&gt;
{{See also | Subgroup temperaments #Sentry }}
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;
Scales:  
&lt;a class="wiki_link" href="/terrain9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Sentry5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/terrain15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Sentry8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Sentry11]] – 11-tone chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Nestoria&lt;/h1&gt;
 
Subgroup: 2.3.5.19&lt;br /&gt;
== Hemif ==
Commas: 361/360, 513/512&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Hemif }}
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]
POTE generator: ~3/2 = 701.746&lt;br /&gt;
 
&lt;br /&gt;
Scales:
Map: [&amp;lt;1 0 15 9], &amp;lt;0 1 -8 -3|]&lt;br /&gt;
* [[Hemif7]] – 7-tone haplotonic scale
EDOs: 7, 12, 17, 29, 41, 53, 118, 171&lt;br /&gt;
* [[Hemif10]] – 10-tone albitonic scale
Error: 0.611 cents&lt;br /&gt;
* [[Hemif17]] – 17-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Garibaldi ==
&lt;a class="wiki_link" href="/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Garibaldi temperament }}
&lt;br /&gt;
{{See also| Schismatic family #Garibaldi }}
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="Nestoria-Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Photia&lt;/h2&gt;
 
Subgroup 2.3.5.17.19&lt;br /&gt;
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
Scales:
&lt;br /&gt;
* [[Garibaldi12]] – 12-tone albitonic scale
POTE generator: ~3/2 = 701.470&lt;br /&gt;
* [[Garibaldi17]] – 17-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
== Mabilic ==
EDOs: 7, 12, 17, 29, 41, 53, 65&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Mabilic }}
Error: 1.512 cents&lt;br /&gt;
 
&lt;br /&gt;
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
&lt;a class="wiki_link" href="/photia7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/photia12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Mabilic7]] – 7-tone haplotonic scale
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Cata&lt;/h1&gt;
* [[Mabilic9]] – 9-tone albitonic scale
Subgroup: 2.3.5.13&lt;br /&gt;
* [[Mabilic16]] – 16-tone chromatic scale
Commas: 325/324, 625/624&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
== Indium ==
&lt;br /&gt;
{{See also | Subgroup temperaments #Indium }}
POTE generator: ~6/5 = 317.076&lt;br /&gt;
 
&lt;br /&gt;
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
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&lt;br /&gt;
Scales:  
Error: 0.735 cents&lt;br /&gt;
* [[Indium8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Indium17]] – 17-tone chromatic scale
&lt;a class="wiki_link" href="/cata7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/cata11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
; Music
&lt;a class="wiki_link" href="/cata15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* ''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]
&lt;a class="wiki_link" href="/cata19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Starlingtet ==
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="Bridgetown"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Bridgetown&lt;/h1&gt;
{{See also | Subgroup temperaments #Starlingtet }}
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
 
Commas: 352/351, 676/675&lt;br /&gt;
Scales:  
Related temperament: &lt;a class="wiki_link" href="/The%20Archipelago"&gt;barabdos&lt;/a&gt;&lt;br /&gt;
* [[Starlingtet4]] – 4-tone haplotonic scale
&lt;br /&gt;
* [[Starlingtet7]] – 7-tone albitonic scale
POTE generator: ~15/13 = 248.285&lt;br /&gt;
* [[Starlingtet11]] – 11-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
== Lovecraft ==
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Lovecraft }}
Error: 0.8489 cents&lt;br /&gt;
 
&lt;br /&gt;
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
&lt;a class="wiki_link" href="/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/bridgetown14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Lovecraft5]] – 5-tone haplotonic scale
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="Huntington"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Huntington&lt;/h1&gt;
* [[Lovecraft9]] – 9-tone albitonic scale
Subgroup: 2.5.7.13&lt;br /&gt;
* [[Lovecraft13]] – 13-tone chromatic scale
Commas: 640/637, 10985/10976&lt;br /&gt;
 
&lt;br /&gt;
== Blackbirds ==
POTE generator: ~16/13 = 357.002&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Blackbirds }}
&lt;br /&gt;
 
Map: [&amp;lt;1 5 4 4|, &amp;lt;0 -9 -4 -1|]&lt;br /&gt;
Scales:  
EDOs: 7, 10, 17, 27, 37, 84, 121, 400&lt;br /&gt;
* [[Blackbirds8]] – 8-tone albitonic scale
Error: 1.036 cents&lt;br /&gt;
* [[Blackbirds12]] – 12-tone chromatic scale
&lt;br /&gt;
* [[Blackbirds16]] – 16-tone mega-chromatic scale
&lt;a class="wiki_link" href="/huntington7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/huntington10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Laz ==
&lt;a class="wiki_link" href="/huntington17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also | Subgroup temperaments #Laz }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Roulette&lt;/h1&gt;
Scales:  
Subgroup: 2.5.7.11.13&lt;br /&gt;
* [[Laz5]] – 5-tone haplotonic scale
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
* [[Laz9]] – 9-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;&lt;br /&gt;
* [[Laz13]] – 13-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~28/25 = 194.594&lt;br /&gt;
== Myna ==
&lt;br /&gt;
{{Main| Myna }}
Map: [&amp;lt;1 0 -3 -7 -13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
{{See also| Starling temperaments #Myna }}
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
 
Error: 1.363 cents&lt;br /&gt;
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/roulette6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/roulette7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Myna7]] – 7-tone haplotonic scale
&lt;a class="wiki_link" href="/roulette13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Myna11]] – 11-tone albitonic scale
&lt;a class="wiki_link" href="/roulette19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Myna15]] – 15-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Baldy&lt;/h1&gt;
== Greeley ==
Subgroup: 2.9.5.7.13&lt;br /&gt;
{{See also| Subgroup temperaments #Greeley }}
Commas: 225/224, 325/325, 640/637&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
&lt;br /&gt;
 
POTE generator: ~9/8 = 204.090&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Greeley8]] – 8-tone albitonic scale
Map: [&amp;lt;1 0 15 25 -8|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
* [[Greeley15]] – 15-tone chromatic scale
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147&lt;br /&gt;
 
Error: 1.469 cents&lt;br /&gt;
; Music
&lt;br /&gt;
* ''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]
&lt;a class="wiki_link" href="/baldy6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/baldy11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Ammon ==
&lt;a class="wiki_link" href="/baldy17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Ammon }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Hemif&lt;/h1&gt;
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
Subgroup: 2.3.7.11.13&lt;br /&gt;
 
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
Scales:  
Related temperament: &lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;&lt;br /&gt;
* [[Ammon8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Ammon13]] – 13-tone chromatic scale
POTE generator: ~11/9 = 351.691&lt;br /&gt;
 
&lt;br /&gt;
== Mothwelltri ==
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
{{See also| Subgroup temperaments #Mothwelltri }}
EDOs: 7, 10, 17, 24, 41, 58&lt;br /&gt;
 
Error: 1.756&lt;br /&gt;
Scales:
&lt;br /&gt;
* [[Mothwelltri5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/hemif7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Mothwelltri9]] – 9-tone albitonic scale
&lt;a class="wiki_link" href="/hemif10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Mothwelltri13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Sulis ==
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Radon&lt;/h1&gt;
{{See also| Subgroup temperaments #Sulis }}
Subgroup: 2.3.7.11&lt;br /&gt;
 
Commas: 896/891, 1029/1024&lt;br /&gt;
Scales:  
Related temperament: &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
* [[Sulis7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Sulis10]] – 10-tone albitonic scale
POTE generator: ~8/7 = 234.381&lt;br /&gt;
* [[Sulis13]] – 13-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
== Skwares ==
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
{{Main| Squares }}
Error: 1.781 cents&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Skwares }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/radon5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
&lt;a class="wiki_link" href="/radon11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Skwares8]] – 8-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Pepperoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Pepperoni&lt;/h1&gt;
* [[Skwares11]] – 11-tone mega-albitonic scale
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
* [[Skwares14]] – 14-tone chromatic scale
Commas: 352/351, 364/363&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Margo%20Schulter"&gt;Margo Schulter&lt;/a&gt;'s &lt;a class="wiki_link" href="/Pepper%20temperament"&gt;pepper temperament&lt;/a&gt;&lt;br /&gt;
== Orwell ==
&lt;br /&gt;
{{Main| Orwell }}
POTE generator: ~3/2 = 704.052&lt;br /&gt;
{{See also| Semicomma family #Orwell }}
&lt;br /&gt;
 
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
 
Error: 2.155 cents&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Orwell5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/pepperoni7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Orwell9]] – 9-tone albitonic scale
&lt;a class="wiki_link" href="/pepperoni12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Orwell13]] – 13-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Skwares&lt;/h1&gt;
== Magicaltet ==
Subgroup: 2.3.7.11&lt;br /&gt;
{{See also| Subgroup temperaments #Magicaltet }}
Commas: 99/98, 243/242&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
Scales:
&lt;br /&gt;
* [[Magicaltet7]] – 7-tone albitonic scale
POTE generator: ~9/7 = 425.244&lt;br /&gt;
* [[Magicaltet11]] – 11-tone chromatic scale
&lt;br /&gt;
* [[Magicaltet15]] – 15-tone mega-chromatic scale
Map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
 
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206&lt;br /&gt;
== Magic ==
Error: 3.009 cents&lt;br /&gt;
{{Main| Magic }}
&lt;br /&gt;
{{See also| Magic family #Magic }}
&lt;a class="wiki_link" href="/skwares8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/skwares11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
&lt;a class="wiki_link" href="/skwares14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Tutone&lt;/h1&gt;
* [[Magic7]] – 7-tone haplotonic scale
Subgroup: 2.9.5.7.11&lt;br /&gt;
* [[Magic10]] – 10-tone albitonic scale
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
* [[Magic13]] – 13-tone chromatic scale
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
* [[Magic16]] – 16-tone mega-chromatic scale
&lt;br /&gt;
 
POTE generator: ~9/8 = 193.937&lt;br /&gt;
== Kiribati ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Kiribati }}
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
 
EDOs: 6, 7, 13, 19, 25, 31, 99&lt;br /&gt;
Scales:  
Error: 3.218 cents&lt;br /&gt;
* [[Kiribati13]] – 13-tone chromatic scale
&lt;br /&gt;
* [[Kiribati14]] – 14-tone chromatic scale
&lt;a class="wiki_link" href="/tutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/tutone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Score ==
&lt;a class="wiki_link" href="/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also|No-threes subgroup temperaments #Score }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="Tutone-Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Leantone&lt;/h2&gt;
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
Subgroup: 2.9.5.7.11&lt;br /&gt;
 
Commas: 45/44, 56/55, 81/80&lt;br /&gt;
Scales:  
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;&lt;br /&gt;
* [[Score5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Score7]] – 7-tone albitonic scale
POTE generator: ~9/8 = 192.500&lt;br /&gt;
* [[Score9]] – 9-tone mega-albitonic scale
&lt;br /&gt;
* [[Score11]] – 11-tone chromatic scale
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;
== Sensi ==
Error: 8.680 cents&lt;br /&gt;
{{Main| Sensi }}
&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
&lt;a class="wiki_link" href="/leantone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/leantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
&lt;a class="wiki_link" href="/leantone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Mohaha&lt;/h1&gt;
* [[Sensi5]] – 5-tone haplotonic scale
Subgroup: 2.3.5.11&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
Commas: 81/80, 121/120&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~11/9 = 348.094&lt;br /&gt;
=== Sensation ===
&lt;br /&gt;
{{Main| Sensi }}
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
EDOs: 7, 10, 17, 24, 31, 131&lt;br /&gt;
 
Error: 3.813 cents&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
&lt;a class="wiki_link" href="/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Mohoho&lt;/h2&gt;
 
Subgroup: 2.3.5.11.13&lt;br /&gt;
== Meantone ==
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
{{Main| Meantone }}
&lt;br /&gt;
{{See also| Meantone family #Meantone }}
POTE generator: ~11/9 = 348.916&lt;br /&gt;
 
&lt;br /&gt;
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
 
EDOs: 7, 10, 17, 24, 31, 55&lt;br /&gt;
Scales:  
Error: 4.829 cents&lt;br /&gt;
* [[Meantone5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Meantone7]] – 7-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Score&lt;/h1&gt;
* [[Meantone12]] – 12-tone chromatic scale
Subgroup: 2.7.11.13&lt;br /&gt;
 
Commas: 343/338, 847/832&lt;br /&gt;
== Mohaha ==
&lt;br /&gt;
{{See also| Rastmic clan #Mohaha }}
POTE generator: ~11/8 = 540.099&lt;br /&gt;
 
&lt;br /&gt;
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
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;
Scales:  
Error: 3.846 cents&lt;br /&gt;
* [[Mohaha7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Mohaha10]] – 10-tone chromatic scale
&lt;a class="wiki_link" href="/score5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/score7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Music:  
&lt;a class="wiki_link" href="/score9"&gt;Nine note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
; [[Billy Stiltner]]
&lt;a class="wiki_link" href="/score11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Supra&lt;/h1&gt;
=== Mohoho ===
Subgroup: 2.3.7.11&lt;br /&gt;
{{See also| Rastmic clan #Mohoho }}
Commas: 64/63, 99/98&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Archytas%20clan"&gt;superpyth&lt;/a&gt;&lt;br /&gt;
== Joan ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Joan }}
POTE generator: ~3/2 = 707.192&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
* [[Joan5]] – 5-tone haplotonic scale
EDOs: 5, 7, 12, 17, 22, 39, 56&lt;br /&gt;
* [[Joan7]] – 7-tone albitonic scale
Error: 5.414 cents&lt;br /&gt;
* [[Joan9]] – 9-tone mega-albitonic scale
&lt;br /&gt;
* [[Joan11]] – 11-tone chromatic scale
&lt;a class="wiki_link" href="/supra7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/supra12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Tutone ==
&lt;br /&gt;
{{See also| Hemimean clan #Tutone }}
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Augment&lt;/h1&gt;
 
Subgroup: 2.5.7.11&lt;br /&gt;
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
Commas: 56/55, 128/125&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Augmented%20family"&gt;augmented&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Tutone6]] – 6-tone haplotonic scale
POTE generator: ~8/7&lt;br /&gt;
* [[Tutone7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Tutone13]] – 13-tone chromatic scale
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;
== Stacks ==
Error: 6.632 cents&lt;br /&gt;
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/augment6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/augment9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Stacks5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/augment12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Stacks8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Stacks11]] – 11-tone chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Greeley&lt;/h1&gt;
* [[Stacks19]] – 19-tone mega-chromatic scale
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
 
Commas: 121/120, 126/125&lt;br /&gt;
== Bleu ==
&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Bleu }}
POTE generator: ~11/10 = 156.055&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
* [[Bleu8]] – 8-tone haplotonic scale
EDOs: 8, 15, 23, 77, 100&lt;br /&gt;
* [[Bleu9]] – 9-tone albitonic scale
Error: 7.555 cents&lt;br /&gt;
* [[Bleu17]] – 17-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Sephiroth ==
&lt;a class="wiki_link" href="/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
{{See also| No-threes subgroup temperaments #Sephiroth }}
 
Scales:  
* [[Sephiroth7]] – 7-tone haplotonic scale
* [[Sephiroth10]] – 10-tone albitonic scale
* [[Sephiroth13]] – 13-tone chromatic scale
* [[Sephiroth16]] – 16-tone mega-chromatic scale
 
== Archy ==
{{Main| Superpyth }}
{{See also| Archytas clan #Archy }}
 
Scales:
* [[Archy5]] – 5-tone haplotonic scale
* [[Archy7]] – 7-tone albitonic scale
* [[Archy12]] – 12-tone chromatic scale
 
=== Supra ===
{{Main| Superpyth }}
{{See also| Archytas clan #Supra }}
 
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]
 
Scales:
* [[Supra7]] – 7-tone [[albitonic scale]]
* [[Supra12]] – 12-tone [[chromatic scale]]
 
=== Supraphon ===
{{Main| Superpyth }}
{{See also| Archytas clan #Supraphon }}
 
== Suhajira ==
{{See also| Archytas clan #Suhajira }}
 
Scales:  
* [[Suhajira7]] – 7-tone haplotonic scale
* [[Suhajira10]] – 10-tone albitonic scale
* [[Suhajira17]] – 17-tone chromatic scale
 
== Machine ==
{{See also| Subgroup temperaments #Machine}}
 
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]
 
Scales:  
* [[Machine5]] – 5-tone haplotonic scale
* [[Machine6]] – 6-tone albitonic scale
* [[Machine11]] – 11-tone chromatic scale
 
== Deutone ==
{{See also| Hemimean clan #Deutone }}
 
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]
 
Scales:  
* [[Deutone6]] – 6-tone haplotonic scale
* [[Deutone7]] 7-tone albitonic scale
* [[Deutone13]] – 13-tone chromatic scale
 
== Negra ==
{{Main| Negri }}
{{See also| Marvel temperaments #Negri }}
 
== Porkypine ==
{{Main| Porcupine }}
{{See also| Porcupine family #Porcupine }}
 
Scales:
* [[Porkypine7]] – 7-tone haplotonic scale
* [[Porkypine8]] – 8-tone albitonic scale
* [[Porkypine15]] – 15-tone chromatic scale
 
== Skateboard ==
{{See also| Subgroup temperaments #Skateboard }}
 
Scales:  
* [[Skateboard7]] – 7-tone haplotonic scale
* [[Skateboard11]] – 11-tone albitonic scale
* [[Skateboard15]] – 15-tone chromatic scale
 
== Augment ==
{{See also| No-threes subgroup temperaments #Augment }}
 
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]
 
Scales:  
* [[Augment6]] – 6-tone haplotonic scale
* [[Augment9]] – 9-tone albitonic scale
* [[Augment12]] – 12-tone chromatic scale
 
== Semaphore ==
{{Main| Semaphore and godzilla }}
{{See also| Semaphoresmic clan #Semaphore }}
 
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]
 
Scales:  
* [[Semaphore5]] – 5-tone haplotonic scale
* [[Semaphore9]] – 9-tone albitonic scale
* [[Semaphore14]] 14-tone chromatic scale
 
== Kryptonite ==
{{See also| Subgroup temperaments #Kryptonite }}
 
Scales:
* [[Kryptonite9]] – 9-tone albitonic scale
* [[Kryptonite10]] – 10-tone albitonic scale
* [[Kryptonite19]] – 19-tone mega-chromatic scale
 
== Oregon ==
{{See also| Orgonia #Oregon }}
 
Scales:  
* [[Oregon7]] – 7-tone haplotonic scale
* [[Oregon11]] – 11-tone albitonic scale
* [[Oregon15]] – 15-tone chromatic scale
 
== Antikythera ==
{{See also| Jubilismic clan #Antikythera }}
 
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]
 
Scales:  
* [[Antikythera6]] – 6-tone haplotonic scale
* [[Antikythera10]] – 10-tone albitonic scale
* [[Antikythera16]] – 16-tone chromatic scale
 
== Glacial ==
{{See also| Subgroup temperaments #Glacial }}
 
Scales:  
* [[Glacial6]] – 6-tone haplotonic scale
* [[Glacial7]] – 7-tone albitonic scale
* [[Glacial13]] – 13-tone chromatic scale
 
== Leantone ==
{{See also| Hemimean clan #Leantone }}
 
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]
 
Scales:  
* [[Leantone6]] – 6-tone haplotonic scale
* [[Leantone7]] – 7-tone albitonic scale
* [[Leantone13]] – 13-tone chromatic scale
 
== Notes ==
 
[[Category:Lists of scales]]
[[Category:Tempered scales| ]]
[[Category:Listen]]
[[Category:Rank 2]]
 
{{todo|cleanup}}