Chromatic pairs: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 209682780 - Original comment: **
Tags: Mobile edit Mobile web edit
 
(368 intermediate revisions by 29 users not shown)
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-11 13:59:08 UTC</tt>.<br>
: The original revision id was <tt>209682780</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">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.


[[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=
Subgroup: 2.9/5.9/7
Commas: 250047/250000


POTE generator: ~10/9 = 182.462
== Terrain ==
{{See also| Subgroup temperaments #Terrain }}


Map: [&lt;3 0 -4|, &lt;0 1 2|]
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
Error: 0.0859 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.
Scales:
* [[Terrain9]] – 9-tone albitonic scale
* [[Terrain15]] – 15-tone chromatic scale


[[terrain9|Nine note albitonic scale]]
; Music
[[terrain15|Fifteen note chromatic scale]]
* ''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]


=Nestoria=
== Petrtri ==
Subgroup: 2.3.5.19
{{See also| Subgroup temperaments #Petrtri }}
Commas: 361/360, 513/512
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.746
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]


Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
* [[Petrtri5]] – 5-tone haplotonic scale
Error: 0.611 cents
* [[Petrtri8]] – 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


[[nestoria7|Seven note albitonic scale]]
== Barton ==
[[nestoria12|Twelve note chromatic scale]]
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
{{See also| The Jacobins #Barton }}


==Photia==
Scales:
Subgroup 2.3.5.17.19
* [[Barton5]] – 5-tone haplotonic scale
Commas: 171/170, 256/255, 324/323
* [[Barton7]] – 7-tone albitonic scale
Related temperament: [[Schismatic family|schismatic]]
* [[Barton9]] – 9-tone mega-albitonic scale
* [[Barton11]] – 11-tone chromatic scale
* [[Barton13]] – 13-tone mega-chromatic scale


POTE generator: ~3/2 = 701.470
== Tridec ==
{{See also| Subgroup temperaments #Tridec }}


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]
EDOs: 7, 12, 17, 29, 41, 53, 65
Error: 1.512 cents


[[photia7|Seven note albitonic scale]]
Scales:
[[photia12|Twelve note chromatic scale]]
* [[Tridec8]] – 8-tone albitonic scale
* [[Tridec13]] – 13-tone chromatic scale


=Cata=
== Nestoria ==
Subgroup: 2.3.5.13
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
Commas: 325/324, 625/624
Related temperament: [[Kleismic family|catakleismic]]


POTE generator: ~6/5 = 317.076
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
Scales:  
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
* [[Nestoria7]] – 7-tone albitonic scale
Error: 0.735 cents
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


[[cata7|Seven note albitonic scale]]
== Orgone ==
[[cata11|Eleven note mega albitonic scale]]
{{Main| Orgone }}
[[cata15|Fifteen note chromatic scale]]
{{See also| Orgonia #Orgone }}
[[cata19|Nineteen note mega chromatic scale]]


=Bridgetown=
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
Subgroup: 2.3.11/5.13/5
Commas: 352/351, 676/675
Related temperament: [[The Archipelago|barabdos]]


POTE generator: ~15/13 = 248.285
Scales:  
* [[Orgone7]] – 7-tone albitonic scale
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
== Marveltwintri ==
EDOs: 5, 9, 14, 19, 24, 29
{{See also| Subgroup temperaments #Marveltwintri }}
Error: 0.8489 cents


[[bridgetown9|Nine note albitonic scale]]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
[[bridgetown14|Fourteen note chromatic scale]]


=Huntington=
Scales:
Subgroup: 2.5.7.13
* [[Marveltwintri7]] – 7-tone albitonic scale
Commas: 640/637, 10985/10976
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


POTE generator: ~16/13 = 357.002
== Cata ==
{{Main| Kleismic }}
{{See also| Kleismic family #Cata }}


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
Error: 1.036 cents


[[huntington7|Seven note haplotonic scale]]
Scales:
[[huntington10|Ten note albitonic scale]]
* [[Cata7]] – 7-tone albitonic scale
[[huntington17|Seventeen note chromatic scale]]
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


=Roulette=
== Bridgetown ==
Subgroup: 2.5.7.11.13
{{See also| Subgroup temperaments #Bridgetown }}
Commas: 176/175, 1375/1372, 640/637
Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]


POTE generator: ~28/25 = 194.594
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]


Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 37
* [[Bridgetown9]] – 9-tone albitonic scale
Error: 1.363 cents
* [[Bridgetown14]] – 14-tone chromatic scale


[[roulette6|Six note haplotonic scale]]
; Music
[[roulette7|Seven note albitonic scale]]
* [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]]
[[roulette13|Thirteen note chromatic scale]]
* ''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
[[roulette19|Nineteen note mega chromatic scale]]


=Baldy=
== Haumea ==
Subgroup: 2.9.5.7.13
{{See also| Subgroup temperaments #Haumea }}
Commas: 225/224, 325/325, 640/637
Related temperament: [[Schismatic family|Garibaldi]]


POTE generator: ~9/8 = 204.090
Scales:  
* [[Haumea5]] – 5-tone haplotonic scale
* [[Haumea9]] – 9-tone albitonic scale
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]
== Neutral ==
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
{{See also| Rastmic clan #Neutral }}
Error: 1.469 cents


[[baldy6|Six note haplotonic scale]]
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
[[baldy11|Eleven note albitonic scale]]
[[baldy17|Seventeen note chromatic scale]]


=Hemif=
Scales:
Subgroup: 2.3.7.11.13
* [[Neutral7]] – 7-tone albitonic scale
Commas: 144/143, 243/242, 364/363
* [[Neutral10]] – 10-tone chromatic scale
Related temperament: [[Breedsmic temperaments|Hemififths]]
* [[Neutral17]] – 17-tone mega-chromatic scale


POTE generator: ~11/9 = 351.691
; Music
* [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
== Slendric ==
EDOs: 7, 10, 17, 24, 41, 58
{{Main| Slendric }}
Error: 1.756
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


[[hemif7|Seven note haplotonic scale]]
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
[[hemif10|Ten note albitonic scale]]
[[hemif17|Seventeen note chromatic scale]]


=Radon=
Scales:
Subgroup: 2.3.7.11
* [[Slendric5]] – 5-tone haplotonic scale
Commas: 896/891, 1029/1024
* [[Slendric6]] – 6-tone haplotonic scale
Related temperament: [[Gamelismic clan|Rodan]]
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


POTE generator: ~8/7 = 234.381
== Huntington ==
{{See also| No-threes subgroup temperaments #Huntington }}


Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
EDOs: 5, 36, 41, 87, 128
Error: 1.781 cents


[[radon5|Five note haplotonic scale]]
Scales:
[[radon11|Eleven note albitonic scale]]
* [[Huntington7]] – 7-tone haplotonic scale
[[radon16|Sixteen note chromatic scale]]
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


=Pepperoni=
== Tobago ==
Subgroup: 2.3.11/7.13/7
{{See also| Subgroup temperaments #Tobago }}
Commas: 352/351, 364/363
Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]]


POTE generator: ~3/2 = 704.052
Scales:  
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
== Pepperoni ==
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
{{See also| Parapyth }}
Error: 2.155 cents
{{See also| Subgroup temperaments #Pepperoni }}


[[pepperoni7|Seven note albitonic scale]]
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
[[pepperoni12|Twelve note chromatic scale]]


=Skwares=
Scales:
Subgroup: 2.3.7.11
* [[Pepperoni7]] – 7-tone albitonic scale
Commas: 99/98, 243/242
* [[Pepperoni12]] – 12-tone chromatic scale
Related temperament: [[Meantone family|squares]]


POTE generator: ~9/7 = 425.244
== Wizz ==
{{See also| No-threes subgroup temperaments #Wizz }}


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
Scales:  
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
* [[Wizz6]] – 6-tone haplotonic scale
Error: 3.009 cents
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


[[skwares8|Eight note albitonic scale]]
== Bossier ==
[[skwares11|Eleven note mega albitonic scale]]
{{See also| No-threes subgroup temperaments #Bossier }}
[[skwares14|Fourteen note chromatic scale]]


=Tutone=
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
Subgroup: 2.9.5.7.11
Commas: 81/80, 99/98, 126/125
Related temperament: [[Meantone family|meantone]]


POTE generator: ~9/8 = 193.937
Scales:  
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
== Penta a.k.a. mechanism ==
EDOs: 6, 7, 13, 19, 25, 31, 99
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}
Error: 3.218 cents


[[tutone6|Six note haplotonic scale]]
Scales:
[[tutone7|Seven note albitonic scale]]
* [[Penta5]] – 5-tone haplotonic scale
[[tutone13|Thirteen note chromatic scale]]
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


==Leantone==
== Bluebirds ==
Subgroup: 2.9.5.7.11
{{See also| No-threes subgroup temperaments #Bluebirds }}
Commas: 45/44, 56/55, 81/80
Related temperament: [[Meantone family|flattone]]


POTE generator: ~9/8 = 192.500
Scales:  
* [[Bluebirds6]] – 6-tone haplotonic scale
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
== Marveltri ==
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
{{See also| Subgroup temperaments #Marveltri }}
Error: 8.680 cents


[[leantone6|Six note haplotonic scale]]
Scales:
[[leantone7|Seven note albitonic scale]]
* [[Marveltri7]] – 7-tone albitonic scale
[[leantone13|Thirteen note chromatic scale]]
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


=Mohaha=
== Edson ==
Subgroup: 2.3.5.11
{{See also| Subgroup temperaments #Edson }}
Commas: 81/80, 121/120
Related temperament: [[Meantone family|mohajira]]


POTE generator: ~11/9 = 348.094
Scales:  
* [[Edson5]] – 5-tone haplotonic scale
* [[Edson7]] – 7-tone albitonic scale
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
== Photia ==
EDOs: 7, 10, 17, 24, 31, 131
{{See also| Schismatic family #Photia (2.3.5.17) }}
Error: 3.813 cents


[[mohaha7|Seven note albitonic scale]]
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
[[mohaha10|Ten note chromatic scale]]


==Mohoho==
Scales:
Subgroup: 2.3.5.11.13
* [[Photia7]] – 7-tone albitonic scale
Commas: 66/65, 81/80, 121/120
* [[Photia12]] – 12-tone chromatic scale


POTE generator: ~11/9 = 348.916
== Shoe a.k.a. llywelyn ==
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
EDOs: 7, 10, 17, 24, 31, 55
Error: 4.829 cents


=Score=
Scales:
Subgroup: 2.7.11.13
* [[Shoe5]] – 5-tone mini-haplotonic scale
Commas: 343/338, 847/832
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


POTE generator: ~11/8 = 540.099
== Roulette ==
{{See also | Hemimean clan #Roulette }}


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
EDOs: 5, 7, 9, 11, 20
Error: 3.846 cents


[[score5|Five note haplotonic scale]]
Scales:
[[score7|Seven note albitonic scale]]
* [[Roulette6]] – 6-tone haplotonic scale
[[score9|Nine note mega albitonic scale]]
* [[Roulette7]] – 7-tone albitonic scale
[[score11|Eleven note chromatic scale]]
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


=Supra=
== Silver ==
Subgroup: 2.3.7.11
{{See also | No-threes subgroup temperaments #Silver }}
Commas: 64/63, 99/98
Related temperament: [[Archytas clan|superpyth]]


POTE generator: ~3/2 = 707.192
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
Scales:  
EDOs: 5, 7, 12, 17, 22, 39, 56
* [[Silver7]] – 7-tone haplotonic scale
Error: 5.414 cents
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


[[supra7|Seven note albitonic scale]]
== Baldy ==
[[supra12|Twelve note chromatic scale]]
{{See also| Subgroup temperaments #Baldy }}


=Augment=
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
Subgroup: 2.5.7.11
Commas: 56/55, 128/125
Related temperament: [[Augmented family|augmented]]


POTE generator: ~8/7
Scales
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]
EDOs: 3, 6, 9, 15, 21
Error: 6.632 cents


[[augment6|Six note haplotonic scale]]
== Guanyintet ==
[[augment9|Nine note albitonic scale]]
{{See also | Subgroup temperaments #Guanyintet }}
[[augment12|Twelve note chromatic scale]]


=Greeley=
Scales:
Subgroup: 2.5/3.7/3.11/3
* [[Guanyintet5]] – 5-tone haplotonic scale
Commas: 121/120, 126/125
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


POTE generator: ~11/10 = 156.055
== Radon ==
{{See also| Gamelismic clan #Radon }}


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]
EDOs: 8, 15, 23, 77, 100
Error: 7.555 cents


[[greeley8|Eight note albitonic scale]]
* [[Radon5]] – 5-tone haplotonic scale
[[greeley15|Fifteen note chromatic scale]]
* [[Radon11]] – 11-tone albitonic scale
</pre></div>
* [[Radon16]] – 16-tone chromatic scale
<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;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.&lt;br /&gt;
== Gariberttet ==
&lt;br /&gt;
{{See also | Subgroup temperaments #Gariberttet }}
&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;
 
&lt;!-- ws:end:WikiTextTocRule:61 --&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;
Scales:  
Subgroup: 2.9/5.9/7&lt;br /&gt;
* [[Gariberttet5]] – 5-tone haplotonic scale
Commas: 250047/250000&lt;br /&gt;
* [[Gariberttet9]] – 9-tone albitonic scale
&lt;br /&gt;
* [[Gariberttet13]] – 13-tone chromatic scale
POTE generator: ~10/9 = 182.462&lt;br /&gt;
 
&lt;br /&gt;
== Namo ==
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
{{See also| Rastmic clan #Namo }}
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;
Scales:  
&lt;br /&gt;
* [[Namo7]] – 7-tone haplotonic 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.&lt;br /&gt;
* [[Namo10]] – 10-tone albitonic scale
&lt;br /&gt;
* [[Namo17]] – 17-tone chromatic scale
&lt;a class="wiki_link" href="/terrain9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/terrain15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Sentry ==
&lt;br /&gt;
{{See also | Subgroup temperaments #Sentry }}
&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;
Scales:  
Commas: 361/360, 513/512&lt;br /&gt;
* [[Sentry5]] – 5-tone haplotonic scale
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
* [[Sentry8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Sentry11]] – 11-tone chromatic scale
POTE generator: ~3/2 = 701.746&lt;br /&gt;
 
&lt;br /&gt;
== Hemif ==
Map: [&amp;lt;1 0 15 9], &amp;lt;0 1 -8 -3|]&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Hemif }}
EDOs: 7, 12, 17, 29, 41, 53, 118, 171&lt;br /&gt;
 
Error: 0.611 cents&lt;br /&gt;
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:
&lt;a class="wiki_link" href="/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Hemif7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Hemif10]] – 10-tone albitonic scale
&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;
* [[Hemif17]] – 17-tone chromatic scale
Subgroup 2.3.5.17.19&lt;br /&gt;
 
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
== Garibaldi ==
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
{{Main| Garibaldi temperament }}
&lt;br /&gt;
{{See also| Schismatic family #Garibaldi }}
POTE generator: ~3/2 = 701.470&lt;br /&gt;
 
&lt;br /&gt;
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
 
EDOs: 7, 12, 17, 29, 41, 53, 65&lt;br /&gt;
Scales:  
Error: 1.512 cents&lt;br /&gt;
* [[Garibaldi12]] – 12-tone albitonic scale
&lt;br /&gt;
* [[Garibaldi17]] – 17-tone chromatic scale
&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;
== Mabilic ==
&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Mabilic }}
&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;
 
Subgroup: 2.3.5.13&lt;br /&gt;
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
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;
Scales:  
&lt;br /&gt;
* [[Mabilic7]] – 7-tone haplotonic scale
POTE generator: ~6/5 = 317.076&lt;br /&gt;
* [[Mabilic9]] – 9-tone albitonic scale
&lt;br /&gt;
* [[Mabilic16]] – 16-tone chromatic scale
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;
== Indium ==
Error: 0.735 cents&lt;br /&gt;
{{See also | Subgroup temperaments #Indium }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/cata7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
&lt;a class="wiki_link" href="/cata11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/cata15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/cata19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Indium8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Indium17]] – 17-tone chromatic scale
&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;
 
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
; Music
Commas: 352/351, 676/675&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]
Related temperament: &lt;a class="wiki_link" href="/The%20Archipelago"&gt;barabdos&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Starlingtet ==
POTE generator: ~15/13 = 248.285&lt;br /&gt;
{{See also | Subgroup temperaments #Starlingtet }}
&lt;br /&gt;
 
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
Scales:  
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
* [[Starlingtet4]] – 4-tone haplotonic scale
Error: 0.8489 cents&lt;br /&gt;
* [[Starlingtet7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Starlingtet11]] – 11-tone chromatic scale
&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;
== Lovecraft ==
&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Lovecraft }}
&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;
 
Subgroup: 2.5.7.13&lt;br /&gt;
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
Commas: 640/637, 10985/10976&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~16/13 = 357.002&lt;br /&gt;
* [[Lovecraft5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Lovecraft9]] – 9-tone albitonic scale
Map: [&amp;lt;1 5 4 4|, &amp;lt;0 -9 -4 -1|]&lt;br /&gt;
* [[Lovecraft13]] – 13-tone chromatic scale
EDOs: 7, 10, 17, 27, 37, 84, 121, 400&lt;br /&gt;
 
Error: 1.036 cents&lt;br /&gt;
== Blackbirds ==
&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Blackbirds }}
&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;
Scales:  
&lt;a class="wiki_link" href="/huntington17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Blackbirds8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Blackbirds12]] – 12-tone chromatic scale
&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;
* [[Blackbirds16]] – 16-tone mega-chromatic scale
Subgroup: 2.5.7.11.13&lt;br /&gt;
 
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
== Laz ==
Related temperament: &lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;&lt;br /&gt;
{{See also | Subgroup temperaments #Laz }}
&lt;br /&gt;
 
POTE generator: ~28/25 = 194.594&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Laz5]] – 5-tone haplotonic scale
Map: [&amp;lt;1 0 -3 -7 -13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
* [[Laz9]] – 9-tone albitonic scale
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
* [[Laz13]] – 13-tone chromatic scale
Error: 1.363 cents&lt;br /&gt;
 
&lt;br /&gt;
== Myna ==
&lt;a class="wiki_link" href="/roulette6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Myna }}
&lt;a class="wiki_link" href="/roulette7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Starling temperaments #Myna }}
&lt;a class="wiki_link" href="/roulette13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/roulette19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]
&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;
Scales:  
Subgroup: 2.9.5.7.13&lt;br /&gt;
* [[Myna7]] – 7-tone haplotonic scale
Commas: 225/224, 325/325, 640/637&lt;br /&gt;
* [[Myna11]] – 11-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
* [[Myna15]] – 15-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~9/8 = 204.090&lt;br /&gt;
== Greeley ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Greeley }}
Map: [&amp;lt;1 0 15 25 -8|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
 
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147&lt;br /&gt;
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
Error: 1.469 cents&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/baldy6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Greeley8]] – 8-tone albitonic scale
&lt;a class="wiki_link" href="/baldy11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Greeley15]] – 15-tone chromatic scale
&lt;a class="wiki_link" href="/baldy17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
; Music
&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;
* ''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]
Subgroup: 2.3.7.11.13&lt;br /&gt;
 
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
== Ammon ==
Related temperament: &lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Ammon }}
&lt;br /&gt;
 
POTE generator: ~11/9 = 351.691&lt;br /&gt;
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
&lt;br /&gt;
 
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
Scales:  
EDOs: 7, 10, 17, 24, 41, 58&lt;br /&gt;
* [[Ammon8]] – 8-tone albitonic scale
Error: 1.756&lt;br /&gt;
* [[Ammon13]] – 13-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/hemif7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
== Mothwelltri ==
&lt;a class="wiki_link" href="/hemif10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Mothwelltri }}
&lt;a class="wiki_link" href="/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&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;
* [[Mothwelltri5]] – 5-tone haplotonic scale
Subgroup: 2.3.7.11&lt;br /&gt;
* [[Mothwelltri9]] – 9-tone albitonic scale
Commas: 896/891, 1029/1024&lt;br /&gt;
* [[Mothwelltri13]] – 13-tone chromatic scale
Related temperament: &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Sulis ==
POTE generator: ~8/7 = 234.381&lt;br /&gt;
{{See also| Subgroup temperaments #Sulis }}
&lt;br /&gt;
 
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
Scales:  
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
* [[Sulis7]] – 7-tone haplotonic scale
Error: 1.781 cents&lt;br /&gt;
* [[Sulis10]] – 10-tone albitonic scale
&lt;br /&gt;
* [[Sulis13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/radon5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/radon11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Skwares ==
&lt;a class="wiki_link" href="/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Squares }}
&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Skwares }}
&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;
 
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
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;
Scales:  
&lt;br /&gt;
* [[Skwares8]] – 8-tone albitonic scale
POTE generator: ~3/2 = 704.052&lt;br /&gt;
* [[Skwares11]] – 11-tone mega-albitonic scale
&lt;br /&gt;
* [[Skwares14]] – 14-tone chromatic scale
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
 
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
== Orwell ==
Error: 2.155 cents&lt;br /&gt;
{{Main| Orwell }}
&lt;br /&gt;
{{See also| Semicomma family #Orwell }}
&lt;a class="wiki_link" href="/pepperoni7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/pepperoni12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
&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;
Scales:  
Subgroup: 2.3.7.11&lt;br /&gt;
* [[Orwell5]] – 5-tone haplotonic scale
Commas: 99/98, 243/242&lt;br /&gt;
* [[Orwell9]] – 9-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
* [[Orwell13]] – 13-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~9/7 = 425.244&lt;br /&gt;
== Magicaltet ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Magicaltet }}
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;
Scales:  
Error: 3.009 cents&lt;br /&gt;
* [[Magicaltet7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Magicaltet11]] – 11-tone chromatic scale
&lt;a class="wiki_link" href="/skwares8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Magicaltet15]] – 15-tone mega-chromatic scale
&lt;a class="wiki_link" href="/skwares11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/skwares14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Magic ==
&lt;br /&gt;
{{Main| Magic }}
&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;
{{See also| Magic family #Magic }}
Subgroup: 2.9.5.7.11&lt;br /&gt;
 
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~9/8 = 193.937&lt;br /&gt;
* [[Magic7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Magic10]] – 10-tone albitonic scale
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
* [[Magic13]] – 13-tone chromatic scale
EDOs: 6, 7, 13, 19, 25, 31, 99&lt;br /&gt;
* [[Magic16]] – 16-tone mega-chromatic scale
Error: 3.218 cents&lt;br /&gt;
 
&lt;br /&gt;
== Kiribati ==
&lt;a class="wiki_link" href="/tutone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Kiribati }}
&lt;a class="wiki_link" href="/tutone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Kiribati13]] – 13-tone chromatic scale
&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;
* [[Kiribati14]] – 14-tone chromatic scale
Subgroup: 2.9.5.7.11&lt;br /&gt;
 
Commas: 45/44, 56/55, 81/80&lt;br /&gt;
== Score ==
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;&lt;br /&gt;
{{See also|No-threes subgroup temperaments #Score }}
&lt;br /&gt;
 
POTE generator: ~9/8 = 192.500&lt;br /&gt;
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
&lt;br /&gt;
 
Map: [&amp;lt;1 0 -4 -13 -6|, &amp;lt;0 1 2 5 3|]&lt;br /&gt;
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 56, 81&lt;br /&gt;
* [[Score5]] – 5-tone haplotonic scale
Error: 8.680 cents&lt;br /&gt;
* [[Score7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Score9]] – 9-tone mega-albitonic scale
&lt;a class="wiki_link" href="/leantone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Score11]] – 11-tone chromatic scale
&lt;a class="wiki_link" href="/leantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/leantone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Sensi ==
&lt;br /&gt;
{{Main| Sensi }}
&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;
{{See also| Sensipent family #Sensi }}
Subgroup: 2.3.5.11&lt;br /&gt;
 
Commas: 81/80, 121/120&lt;br /&gt;
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~11/9 = 348.094&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
EDOs: 7, 10, 17, 24, 31, 131&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
Error: 3.813 cents&lt;br /&gt;
 
&lt;br /&gt;
=== Sensation ===
&lt;a class="wiki_link" href="/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Sensi }}
&lt;a class="wiki_link" href="/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
&lt;br /&gt;
 
&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;
Scales:  
Subgroup: 2.3.5.11.13&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
POTE generator: ~11/9 = 348.916&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
== Meantone ==
EDOs: 7, 10, 17, 24, 31, 55&lt;br /&gt;
{{Main| Meantone }}
Error: 4.829 cents&lt;br /&gt;
{{See also| Meantone family #Meantone }}
&lt;br /&gt;
 
&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;
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
Subgroup: 2.7.11.13&lt;br /&gt;
 
Commas: 343/338, 847/832&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Meantone5]] – 5-tone haplotonic scale
POTE generator: ~11/8 = 540.099&lt;br /&gt;
* [[Meantone7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Meantone12]] – 12-tone chromatic scale
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;
== Mohaha ==
Error: 3.846 cents&lt;br /&gt;
{{See also| Rastmic clan #Mohaha }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/score5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
&lt;a class="wiki_link" href="/score7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/score9"&gt;Nine note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/score11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Mohaha7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Mohaha10]] – 10-tone chromatic scale
&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;
 
Subgroup: 2.3.7.11&lt;br /&gt;
Music:  
Commas: 64/63, 99/98&lt;br /&gt;
; [[Billy Stiltner]]
Related temperament: &lt;a class="wiki_link" href="/Archytas%20clan"&gt;superpyth&lt;/a&gt;&lt;br /&gt;
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}
&lt;br /&gt;
 
POTE generator: ~3/2 = 707.192&lt;br /&gt;
=== Mohoho ===
&lt;br /&gt;
{{See also| Rastmic clan #Mohoho }}
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
 
EDOs: 5, 7, 12, 17, 22, 39, 56&lt;br /&gt;
== Joan ==
Error: 5.414 cents&lt;br /&gt;
{{See also| Subgroup temperaments #Joan }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/supra7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/supra12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Joan5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Joan7]] – 7-tone albitonic scale
&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;
* [[Joan9]] – 9-tone mega-albitonic scale
Subgroup: 2.5.7.11&lt;br /&gt;
* [[Joan11]] – 11-tone chromatic scale
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;
== Tutone ==
&lt;br /&gt;
{{See also| Hemimean clan #Tutone }}
POTE generator: ~8/7&lt;br /&gt;
 
&lt;br /&gt;
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
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;
Scales:
Error: 6.632 cents&lt;br /&gt;
* [[Tutone6]] – 6-tone haplotonic scale
&lt;br /&gt;
* [[Tutone7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/augment6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Tutone13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/augment9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/augment12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Stacks ==
&lt;br /&gt;
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
&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;
 
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
Scales:
Commas: 121/120, 126/125&lt;br /&gt;
* [[Stacks5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Stacks8]] – 8-tone albitonic scale
POTE generator: ~11/10 = 156.055&lt;br /&gt;
* [[Stacks11]] – 11-tone chromatic scale
&lt;br /&gt;
* [[Stacks19]] – 19-tone mega-chromatic scale
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
 
EDOs: 8, 15, 23, 77, 100&lt;br /&gt;
== Bleu ==
Error: 7.555 cents&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Bleu }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
* [[Bleu8]] – 8-tone haplotonic scale
* [[Bleu9]] – 9-tone albitonic scale
* [[Bleu17]] – 17-tone chromatic scale
 
== Sephiroth ==
{{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}}