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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-06 12:57:37 UTC</tt>.<br>
: The original revision id was <tt>207759896</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".


==Greeley==
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.
Subgroup: 2.5/3.7/3.11/3
Commas: 121/120, 126/125


POTE generator: ~11/10 = 156.055
== Terrain ==
{{See also| Subgroup temperaments #Terrain }}


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]
EDOs: 8, 15, 23, 77, 100
Badness: 0.0634


[[greeley8|Eight note albitonic scale]]
Scales:
[[greeley15|Fifteen note chromatic scale]]
* [[Terrain9]] – 9-tone albitonic scale
* [[Terrain15]] – 15-tone chromatic scale


==Pepperoni==
; Music
Subgroup: 2.3.11/7.13/7
* ''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]
Commas: 352/351, 364/363


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


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
Badness: 0.0659


[[pepperoni7|Seven note albitonic scale]]
Scales:
[[pepperoni12|Twelve note chromatic scale]]
* [[Petrtri5]] – 5-tone haplotonic scale
* [[Petrtri8]] – 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


==Bridgetown==
== Barton ==
Subgroup: 2.3.11/5.13/5
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
Commas: 352/351, 676/675
{{See also| The Jacobins #Barton }}


POTE generator: ~15/13 = 248.285
Scales:  
* [[Barton5]] – 5-tone haplotonic scale
* [[Barton7]] – 7-tone albitonic scale
* [[Barton9]] – 9-tone mega-albitonic scale
* [[Barton11]] – 11-tone chromatic scale
* [[Barton13]] – 13-tone mega-chromatic scale


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
== Tridec ==
EDOs: 5, 9, 14, 19, 24, 29
{{See also| Subgroup temperaments #Tridec }}
Badness: 0.0173


[[bridgetown9|Nine note albitonic scale]]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]
[[bridgetown14|Fourteen note chromatic scale]]


==Pompey==
Scales:
Subgroup: 2.3.7.11
* [[Tridec8]] – 8-tone albitonic scale
Commas: 896/891, 1029/1024
* [[Tridec13]] – 13-tone chromatic scale


POTE generator: ~8/7 = 234.381
== Nestoria ==
{{See also| Schismatic family #Nestoria (2.3.5.19)}}


Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]
EDOs: 5, 36, 41, 87, 128
Badness: 0.0164


[[pompey5|Five note pentacircle scale]]
Scales:
[[pompey11|Eleven note albitonic scale]]
* [[Nestoria7]] – 7-tone albitonic scale
[[pompey16|Sixteen note chromatic scale]]
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


==Mohaha==
== Orgone ==
Subgroup: 2.3.5.11
{{Main| Orgone }}
Commas: 81/80, 121/120
{{See also| Orgonia #Orgone }}


POTE generator: ~11/9 = 348.094
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
Scales:  
EDOs: 7, 10, 17, 24, 31, 131
* [[Orgone7]] – 7-tone albitonic scale
Badness: 0.0129
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


[[mohaha7|Seven note albitonic scale]]
== Marveltwintri ==
[[mohaha10|Ten note chromatic scale]]
{{See also| Subgroup temperaments #Marveltwintri }}


[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]


</pre></div>
Scales:  
<h4>Original HTML content:</h4>
* [[Marveltwintri7]] – 7-tone albitonic scale
<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;.&lt;br /&gt;
* [[Marveltwintri11]] – 11-tone chromatic scale
&lt;br /&gt;
* [[Marveltwintri15]] – 15-tone mega-chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Greeley&lt;/h2&gt;
 
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
== Cata ==
Commas: 121/120, 126/125&lt;br /&gt;
{{Main| Kleismic }}
&lt;br /&gt;
{{See also| Kleismic family #Cata }}
POTE generator: ~11/10 = 156.055&lt;br /&gt;
 
&lt;br /&gt;
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
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;
Scales:  
Badness: 0.0634&lt;br /&gt;
* [[Cata7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Cata11]] – 11-tone mega-albitonic scale
&lt;a class="wiki_link" href="/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Cata15]] – 15-tone chromatic scale
&lt;a class="wiki_link" href="/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Cata19]] – 19-tone mega-chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Pepperoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Pepperoni&lt;/h2&gt;
== Bridgetown ==
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
{{See also| Subgroup temperaments #Bridgetown }}
Commas: 352/351, 364/363&lt;br /&gt;
 
&lt;br /&gt;
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]
POTE generator: ~3/2 = 704.052&lt;br /&gt;
 
&lt;br /&gt;
Scales:
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
* [[Bridgetown9]] – 9-tone albitonic scale
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
* [[Bridgetown14]] – 14-tone chromatic scale
Badness: 0.0659&lt;br /&gt;
 
&lt;br /&gt;
; Music
&lt;a class="wiki_link" href="/pepperoni7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [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]]
&lt;a class="wiki_link" href="/pepperoni12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* ''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
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Bridgetown"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Bridgetown&lt;/h2&gt;
== Haumea ==
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
{{See also| Subgroup temperaments #Haumea }}
Commas: 352/351, 676/675&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~15/13 = 248.285&lt;br /&gt;
* [[Haumea5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Haumea9]] – 9-tone albitonic scale
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
* [[Haumea14]] – 14-tone chromatic scale
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
* [[Haumea19]] – 19-tone mega-chromatic scale
Badness: 0.0173&lt;br /&gt;
 
&lt;br /&gt;
== Neutral ==
&lt;a class="wiki_link" href="/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Rastmic clan #Neutral }}
&lt;a class="wiki_link" href="/bridgetown14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Pompey"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Pompey&lt;/h2&gt;
 
Subgroup: 2.3.7.11&lt;br /&gt;
Scales:
Commas: 896/891, 1029/1024&lt;br /&gt;
* [[Neutral7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Neutral10]] – 10-tone chromatic scale
POTE generator: ~8/7 = 234.381&lt;br /&gt;
* [[Neutral17]] – 17-tone mega-chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
; Music
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
* [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
Badness: 0.0164&lt;br /&gt;
 
&lt;br /&gt;
== Slendric ==
&lt;a class="wiki_link" href="/pompey5"&gt;Five note pentacircle scale&lt;/a&gt;&lt;br /&gt;
{{Main| Slendric }}
&lt;a class="wiki_link" href="/pompey11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''
&lt;a class="wiki_link" href="/pompey16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Mohaha&lt;/h2&gt;
 
Subgroup: 2.3.5.11&lt;br /&gt;
Scales:  
Commas: 81/80, 121/120&lt;br /&gt;
* [[Slendric5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Slendric6]] – 6-tone haplotonic scale
POTE generator: ~11/9 = 348.094&lt;br /&gt;
* [[Slendric11]] – 11-tone albitonic scale
&lt;br /&gt;
* [[Slendric16]] – 16-tone chromatic scale
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
 
EDOs: 7, 10, 17, 24, 31, 131&lt;br /&gt;
== Huntington ==
Badness: 0.0129&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Huntington }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
&lt;a class="wiki_link" href="/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
 
Scales:  
* [[Huntington7]] – 7-tone haplotonic scale
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale
 
== Tobago ==
{{See also| Subgroup temperaments #Tobago }}
 
Scales:  
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale
 
== Pepperoni ==
{{See also| Parapyth }}
{{See also| Subgroup temperaments #Pepperoni }}
 
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
 
Scales:  
* [[Pepperoni7]] – 7-tone albitonic scale
* [[Pepperoni12]] – 12-tone chromatic scale
 
== Wizz ==
{{See also| No-threes subgroup temperaments #Wizz }}
 
Scales:  
* [[Wizz6]] – 6-tone haplotonic scale
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale
 
== Bossier ==
{{See also| No-threes subgroup temperaments #Bossier }}
 
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
 
Scales:  
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale
 
== Penta a.k.a. mechanism ==
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}
 
Scales:  
* [[Penta5]] – 5-tone haplotonic scale
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale
 
== Bluebirds ==
{{See also| No-threes subgroup temperaments #Bluebirds }}
 
Scales:  
* [[Bluebirds6]] – 6-tone haplotonic scale
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale
 
== Marveltri ==
{{See also| Subgroup temperaments #Marveltri }}
 
Scales:  
* [[Marveltri7]] – 7-tone albitonic scale
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale
 
== Edson ==
{{See also| Subgroup temperaments #Edson }}
 
Scales:  
* [[Edson5]] – 5-tone haplotonic scale
* [[Edson7]] – 7-tone albitonic scale
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale
 
== Photia ==
{{See also| Schismatic family #Photia (2.3.5.17) }}
 
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
 
Scales:  
* [[Photia7]] 7-tone albitonic scale
* [[Photia12]] – 12-tone chromatic scale
 
== Shoe a.k.a. llywelyn ==
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}
 
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
 
Scales:
* [[Shoe5]] – 5-tone mini-haplotonic scale
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale
 
== Roulette ==
{{See also | Hemimean clan #Roulette }}
 
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
 
Scales:
* [[Roulette6]] – 6-tone haplotonic scale
* [[Roulette7]] – 7-tone albitonic scale
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale
 
== Silver ==
{{See also | No-threes subgroup temperaments #Silver }}
 
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]
 
Scales:
* [[Silver7]] – 7-tone haplotonic scale
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale
 
== Baldy ==
{{See also| Subgroup temperaments #Baldy }}
 
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
 
Scales
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale
 
 
== Guanyintet ==
{{See also | Subgroup temperaments #Guanyintet }}
 
Scales:
* [[Guanyintet5]] – 5-tone haplotonic scale
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale
 
== Radon ==
{{See also| Gamelismic clan #Radon }}
 
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]
 
* [[Radon5]] – 5-tone haplotonic scale
* [[Radon11]] – 11-tone albitonic scale
* [[Radon16]] – 16-tone chromatic scale
 
== Gariberttet ==
{{See also | Subgroup temperaments #Gariberttet }}
 
Scales:
* [[Gariberttet5]] – 5-tone haplotonic scale
* [[Gariberttet9]] – 9-tone albitonic scale
* [[Gariberttet13]] – 13-tone chromatic scale
 
== Namo ==
{{See also| Rastmic clan #Namo }}
 
Scales:
* [[Namo7]] – 7-tone haplotonic scale
* [[Namo10]] – 10-tone albitonic scale
* [[Namo17]] – 17-tone chromatic scale
 
== Sentry ==
{{See also | Subgroup temperaments #Sentry }}
 
Scales:
* [[Sentry5]] – 5-tone haplotonic scale
* [[Sentry8]] – 8-tone albitonic scale
* [[Sentry11]] – 11-tone chromatic scale
 
== Hemif ==
{{See also| No-fives subgroup temperaments #Hemif }}
 
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]
 
Scales:
* [[Hemif7]] – 7-tone haplotonic scale
* [[Hemif10]] – 10-tone albitonic scale
* [[Hemif17]] – 17-tone chromatic scale
 
== Garibaldi ==
{{Main| Garibaldi temperament }}
{{See also| Schismatic family #Garibaldi }}
 
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
 
Scales:
* [[Garibaldi12]] – 12-tone albitonic scale
* [[Garibaldi17]] – 17-tone chromatic scale
 
== Mabilic ==
{{See also| No-threes subgroup temperaments #Mabilic }}
 
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
 
Scales:
* [[Mabilic7]] – 7-tone haplotonic scale
* [[Mabilic9]] – 9-tone albitonic scale
* [[Mabilic16]] – 16-tone chromatic scale
 
== Indium ==
{{See also | Subgroup temperaments #Indium }}
 
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
 
Scales:
* [[Indium8]] – 8-tone albitonic scale
* [[Indium17]] – 17-tone chromatic scale
 
; Music
* ''The Cry of Indium'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/the-cry-of-indium/ blog] | [https://web.archive.org/web/20201127012551/http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 play] – in Indium[17]
 
== Starlingtet ==
{{See also | Subgroup temperaments #Starlingtet }}
 
Scales:
* [[Starlingtet4]] – 4-tone haplotonic scale
* [[Starlingtet7]] – 7-tone albitonic scale
* [[Starlingtet11]] – 11-tone chromatic scale
 
== Lovecraft ==
{{See also | No-threes subgroup temperaments #Lovecraft }}
 
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
 
Scales:
* [[Lovecraft5]] – 5-tone haplotonic scale
* [[Lovecraft9]] – 9-tone albitonic scale
* [[Lovecraft13]] – 13-tone chromatic scale
 
== Blackbirds ==
{{See also | No-threes subgroup temperaments #Blackbirds }}
 
Scales:
* [[Blackbirds8]] – 8-tone albitonic scale
* [[Blackbirds12]] – 12-tone chromatic scale
* [[Blackbirds16]] – 16-tone mega-chromatic scale
 
== Laz ==
{{See also | Subgroup temperaments #Laz }}
 
Scales:
* [[Laz5]] – 5-tone haplotonic scale
* [[Laz9]] – 9-tone albitonic scale
* [[Laz13]] – 13-tone chromatic scale
 
== Myna ==
{{Main| Myna }}
{{See also| Starling temperaments #Myna }}
 
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]
 
Scales:
* [[Myna7]] – 7-tone haplotonic scale
* [[Myna11]] – 11-tone albitonic scale
* [[Myna15]] – 15-tone chromatic scale
 
== Greeley ==
{{See also| Subgroup temperaments #Greeley }}
 
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
 
Scales:
* [[Greeley8]] – 8-tone albitonic scale
* [[Greeley15]] – 15-tone chromatic scale
 
; Music
* ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15]
 
== Ammon ==
{{See also| Subgroup temperaments #Ammon }}
 
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
 
Scales:
* [[Ammon8]] – 8-tone albitonic scale
* [[Ammon13]] – 13-tone chromatic scale
 
== Mothwelltri ==
{{See also| Subgroup temperaments #Mothwelltri }}
 
Scales:
* [[Mothwelltri5]] – 5-tone haplotonic scale
* [[Mothwelltri9]] – 9-tone albitonic scale
* [[Mothwelltri13]] – 13-tone chromatic scale
 
== Sulis ==
{{See also| Subgroup temperaments #Sulis }}
 
Scales:
* [[Sulis7]] – 7-tone haplotonic scale
* [[Sulis10]] – 10-tone albitonic scale
* [[Sulis13]] – 13-tone chromatic scale
 
== Skwares ==
{{Main| Squares }}
{{See also| No-fives subgroup temperaments #Skwares }}
 
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
 
Scales:
* [[Skwares8]] – 8-tone albitonic scale
* [[Skwares11]] – 11-tone mega-albitonic scale
* [[Skwares14]] – 14-tone chromatic scale
 
== Orwell ==
{{Main| Orwell }}
{{See also| Semicomma family #Orwell }}
 
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
 
Scales:
* [[Orwell5]] – 5-tone haplotonic scale
* [[Orwell9]] – 9-tone albitonic scale
* [[Orwell13]] – 13-tone chromatic scale
 
== Magicaltet ==
{{See also| Subgroup temperaments #Magicaltet }}
 
Scales:
* [[Magicaltet7]] – 7-tone albitonic scale
* [[Magicaltet11]] – 11-tone chromatic scale
* [[Magicaltet15]] – 15-tone mega-chromatic scale
 
== Magic ==
{{Main| Magic }}
{{See also| Magic family #Magic }}
 
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
 
Scales:
* [[Magic7]] – 7-tone haplotonic scale
* [[Magic10]] – 10-tone albitonic scale
* [[Magic13]] – 13-tone chromatic scale
* [[Magic16]] – 16-tone mega-chromatic scale
 
== Kiribati ==
{{See also| Subgroup temperaments #Kiribati }}
 
Scales:
* [[Kiribati13]] – 13-tone chromatic scale
* [[Kiribati14]] – 14-tone chromatic scale
 
== Score ==
{{See also|No-threes subgroup temperaments #Score }}
 
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
 
Scales:
* [[Score5]] – 5-tone haplotonic scale
* [[Score7]] – 7-tone albitonic scale
* [[Score9]] – 9-tone mega-albitonic scale
* [[Score11]] – 11-tone chromatic scale
 
== Sensi ==
{{Main| Sensi }}
{{See also| Sensipent family #Sensi }}
 
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
 
Scales:
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale
 
=== Sensation ===
{{Main| Sensi }}
{{See also| Sensipent family #Sensi }}
 
Scales:
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale
 
== Meantone ==
{{Main| Meantone }}
{{See also| Meantone family #Meantone }}
 
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
 
Scales:
* [[Meantone5]] – 5-tone haplotonic scale
* [[Meantone7]] – 7-tone albitonic scale
* [[Meantone12]] – 12-tone chromatic scale
 
== Mohaha ==
{{See also| Rastmic clan #Mohaha }}
 
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
 
Scales:
* [[Mohaha7]] – 7-tone albitonic scale
* [[Mohaha10]] – 10-tone chromatic scale
 
Music:
; [[Billy Stiltner]]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}
 
=== Mohoho ===
{{See also| Rastmic clan #Mohoho }}
 
== Joan ==
{{See also| Subgroup temperaments #Joan }}
 
Scales:
* [[Joan5]] – 5-tone haplotonic scale
* [[Joan7]] – 7-tone albitonic scale
* [[Joan9]] – 9-tone mega-albitonic scale
* [[Joan11]] – 11-tone chromatic scale
 
== Tutone ==
{{See also| Hemimean clan #Tutone }}
 
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
 
Scales:
* [[Tutone6]] – 6-tone haplotonic scale
* [[Tutone7]] – 7-tone albitonic scale
* [[Tutone13]] – 13-tone chromatic scale
 
== Stacks ==
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
 
Scales:
* [[Stacks5]] – 5-tone haplotonic scale
* [[Stacks8]] – 8-tone albitonic scale
* [[Stacks11]] – 11-tone chromatic scale
* [[Stacks19]] – 19-tone mega-chromatic scale
 
== Bleu ==
{{See also| No-fives subgroup temperaments #Bleu }}
 
Scales:
* [[Bleu8]] – 8-tone haplotonic scale
* [[Bleu9]] – 9-tone albitonic scale
* [[Bleu17]] – 17-tone chromatic scale
 
== Sephiroth ==
{{See also| No-threes subgroup temperaments #Sephiroth }}
 
Scales:
* [[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}}

Latest revision as of 00:23, 24 June 2025

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

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

Terrain

terrain_3558edo.png
Terrain in 3558edo

Scales:

Music

Petrtri

petrtri_385edo.png
Petrtri in 385edo

Scales:

Barton

"Barton" redirects here. For Jacob Barton's scale, see Barton (scale).

Scales:

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

Tridec

tridec_235edo.png
Tridec in 235edo

Scales:

Nestoria

nestoria_171edo.png
Nestoria in 171edo

Scales:

Orgone

orgone_308edo.jpg
Orgone in 308edo

Scales:

Marveltwintri

marveltwintri_321edo.png
Marveltwintri in 321edo

Scales:

Cata

cata_246edo.jpg
Cata in 246edo

Scales:

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

Bridgetown

bridgetown_29edo.png
Bridgetown in 29edo

Scales:

Music

Haumea

Scales:

Neutral

neutral_380edo.png
Neutral in 380edo

Scales:

Music

Slendric

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

Scales:

Huntington

huntington_400edo.jpg
Huntington in 400edo

Scales:

Tobago

Scales:

Pepperoni

pepperoni_271edo.png
Pepperoni in 271edo

Scales:

Wizz

Scales:

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

Bossier

bossier_225edo.jpg
Bossier in 225edo

Scales:

Penta a.k.a. mechanism

Scales:

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

Bluebirds

Scales:

Marveltri

Scales:

Edson

Scales:

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

Photia

photia_65edo.png
Photia in 65edo

Scales:

Shoe a.k.a. llywelyn

shoe_37edo.jpg
Shoe in 37edo

Scales:

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

Roulette

roulette_37edo.jpg
Roulette in 37edo

Scales:

Silver

silver_487edo.jpg
Silver in 487edo

Scales:

Baldy

baldy_147edo.jpg
Baldy in 147edo

Scales

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


Guanyintet

Scales:

Radon

radon_128edo.jpg
Radon in 128edo
  • Radon5 – 5-tone haplotonic scale
  • Radon11 – 11-tone albitonic scale
  • Radon16 – 16-tone chromatic scale

Gariberttet

Scales:

Namo

Scales:

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

Sentry

Scales:

Hemif

hemif_58edo.jpg
Hemif in 58edo

Scales:

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

Garibaldi

garibaldi_94edo.png
Garibaldi in 94edo

Scales:

Mabilic

mabila_66edo.jpg
Mabilic in 66edo

Scales:

Indium

indium_253edo.png
Indium in 253edo

Scales:

Music

Starlingtet

Scales:

Lovecraft

lovecraft_116edo.png
Lovecraft in 116edo

Scales:

Blackbirds

Scales:

Laz

Scales:

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

Myna

myna_89edo.jpg
Myna in 89edo

Scales:

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

Greeley

greeley_100edo.png
Greeley in 100edo

Scales:

Music

Ammon

semidim_770edo.png
Ammon in 770edo

Scales:

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

Mothwelltri

Scales:

Sulis

Scales:

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

Skwares

skwares_206edo.png
Skwares in 206edo

Scales:

Orwell

orwell_84edo.png
Orwell in 84edo

Scales:

Magicaltet

Scales:

Magic

magic_145edo.jpg
Magic in 145edo

Scales:

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

Kiribati

Scales:

Score

score_20edo.jpg
Score in 20edo

Scales:

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

Sensi

sensi_46edo.jpg
Sensi in 46edo

Scales:

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

Sensation

Scales:

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

Meantone

meantone_31edo.jpg
Meantone in 31edo

Scales:

Mohaha

mohaha_131edo.png
Mohaha in 131edo

Scales:

Music:

Billy Stiltner

Mohoho

Joan

Scales:

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

Tutone

tutone_99edo.png
Tutone in 99edo

Scales:

Stacks

Scales:

Bleu

Scales:

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

Sephiroth

Scales:

Archy

Scales:

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

Supra

supra_56edo.png
Supra in 56edo

Scales:

Supraphon

Suhajira

Scales:

Machine

machine_28edo.png
Machine in 28edo

Scales:

Deutone

deutone_44edo.png
Deutone in 44edo

Scales:

Negra

Porkypine

Scales:

Skateboard

Scales:

Augment

augment_21edo.png
Augment in 21edo

Scales:

Semaphore

semaphore_24edo.png
Semaphore in 24edo

Scales:

Kryptonite

Scales:

Oregon

Scales:

Antikythera

antikythera_28edo.png
Antikythera in 28edo

Scales:

Glacial

Scales:

Leantone

leantone_81edo.png
Leantone in 81edo

Scales:

Notes