Chromatic pairs: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-07 12:01:02 UTC</tt>.<br>
: The original revision id was <tt>208072066</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


[[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
Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]]


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


[[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 }}
Related temperament: [[The Archipelago|barabdos]]


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 }}


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


==Radon==
Scales:  
Subgroup: 2.3.7.11
* [[Tridec8]] – 8-tone albitonic scale
Commas: 896/891, 1029/1024
* [[Tridec13]] – 13-tone chromatic scale
Related temperament: [[Gamelismic clan|Rodan]]


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


[[radon5|Five note pentacircle scale]]
Scales:
[[radon11|Eleven note albitonic scale]]
* [[Nestoria7]] – 7-tone albitonic scale
[[radon16|Sixteen note chromatic scale]]
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


==Skwares==
== Orgone ==
Subgroup: 2.3.7.11
{{Main| Orgone }}
Commas: 99/98, 243/242
{{See also| Orgonia #Orgone }}


==Hemif==
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
Subgroup: 2.3.7.11
Commas: 243/242, 896/891


==Supra==
Scales:
Subgroup: 2.3.7.11
* [[Orgone7]] – 7-tone albitonic scale
Commas: 64/63, 99/98
* [[Orgone11]] – 11-tone chromatic scale
Related temperament: [[Archytas clan|superpyth]]
* [[Orgone15]] – 15-tone mega-chromatic scale


POTE generator: ~3/2 = 707.192
== Marveltwintri ==
{{See also| Subgroup temperaments #Marveltwintri }}


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
EDOs: 5, 7, 12, 17, 22, 39, 56


[[supra7|Seven note albitonic scale]]
Scales:
[[supra12|Twelve note chromatic scale]]
* [[Marveltwintri7]] – 7-tone albitonic scale
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


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


POTE generator: ~11/9 = 348.094
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
Scales:  
EDOs: 7, 10, 17, 24, 31, 131
* [[Cata7]] – 7-tone albitonic scale
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


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


==Cata==
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]
Subgroup: 2.3.5.13
Commas: 325/324, 625/624
Related temperament: [[Kleismic family|catakleismic]]


POTE generator: ~6/5 = 317.076
Scales:  
* [[Bridgetown9]] – 9-tone albitonic scale
* [[Bridgetown14]] – 14-tone chromatic scale


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
; Music
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
* [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]]
* ''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


[[cata7|Seven note albitonic scale]]
== Haumea ==
[[cata11|Eleven note mega albitonic scale]]
{{See also| Subgroup temperaments #Haumea }}
[[cata15|Fifteen note chromatic scale]]
[[cata19|Nineteen note mega chromatic scale]]


==Nestoria==
Scales:
Subgroup: 2.3.5.19
* [[Haumea5]] – 5-tone haplotonic scale
Commas: 361/360, 513/512
* [[Haumea9]] – 9-tone albitonic scale
Related temperament: [[Schismatic family|schismatic]]
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


POTE generator: ~3/2 = 701.746
== Neutral ==
{{See also| Rastmic clan #Neutral }}


Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
EDOs: 7, 12, 17, 29, 41, 53, 118, 171


[[nestoria7|Seven note albitonic scale]]
Scales:
[[nestoria12|Twelve note chromatic scale]]
* [[Neutral7]] – 7-tone albitonic scale
* [[Neutral10]] – 10-tone chromatic scale
* [[Neutral17]] – 17-tone mega-chromatic scale


==Photia==
; Music
Subgroup 2.3.5.17.19
* [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: 171/170, 256/255, 324/323
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.470
== Slendric ==
{{Main| Slendric }}
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
EDOs: 7, 12, 17, 29, 41, 53, 65


[[photia7|Seven note albitonic scale]]
Scales:
[[photia12|Twelve note chromatic scale]]
* [[Slendric5]] – 5-tone haplotonic scale
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


==Tutone==
== Huntington ==
Subgroup: 2.9.5.7.11
{{See also| No-threes subgroup temperaments #Huntington }}
Commas: 81/80, 99/98, 126/125
Related temperament: [[Meantone family|meantone]]


POTE generator: ~9/8 = 193.937
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 99
* [[Huntington7]] – 7-tone haplotonic scale
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


[[tutone6|Six note haplotonic scale]]
== Tobago ==
[[tutone7|Seven note albitonic scale]]
{{See also| Subgroup temperaments #Tobago }}
[[tutone13|Thirteen note chromatic scale]]


==Leantone==
Scales:
Subgroup: 2.9.5.7.11
* [[Tobago6]] – 6-tone haplotonic scale
Commas: 45/44, 56/55, 81/80
* [[Tobago10]] – 10-tone albitonic scale
Related temperament: [[Meantone family|flattone]]
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


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


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
EDOs: 6, 7, 13, 19, 25, 31, 56, 81</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;.&lt;br /&gt;
* [[Pepperoni7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Pepperoni12]] – 12-tone 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;
== Wizz ==
Commas: 121/120, 126/125&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Wizz }}
&lt;br /&gt;
 
POTE generator: ~11/10 = 156.055&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Wizz6]] – 6-tone haplotonic scale
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
* [[Wizz10]] – 10-tone albitonic scale
EDOs: 8, 15, 23, 77, 100&lt;br /&gt;
* [[Wizz16]] – 16-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Bossier ==
&lt;a class="wiki_link" href="/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Bossier }}
&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;
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
 
Commas: 352/351, 364/363&lt;br /&gt;
Scales:
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;
* [[Bossier8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Bossier11]] – 11-tone chromatic scale
POTE generator: ~3/2 = 704.052&lt;br /&gt;
* [[Bossier14]] – 14-tone mega-chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
== Penta a.k.a. mechanism ==
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/pepperoni7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:
&lt;a class="wiki_link" href="/pepperoni12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Penta5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Penta8]] – 8-tone albitonic scale
&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;
* [[Penta11]] – 11-tone chromatic scale
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
* [[Penta19]] – 19-tone mega-chromatic scale
Commas: 352/351, 676/675&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/The%20Archipelago"&gt;barabdos&lt;/a&gt;&lt;br /&gt;
== Bluebirds ==
&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Bluebirds }}
POTE generator: ~15/13 = 248.285&lt;br /&gt;
 
&lt;br /&gt;
Scales:
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
* [[Bluebirds6]] – 6-tone haplotonic scale
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
* [[Bluebirds7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Bluebirds13]] – 13-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;
== Marveltri ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Marveltri }}
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Radon&lt;/h2&gt;
 
Subgroup: 2.3.7.11&lt;br /&gt;
Scales:  
Commas: 896/891, 1029/1024&lt;br /&gt;
* [[Marveltri7]] – 7-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
* [[Marveltri10]] – 10-tone chromatic scale
&lt;br /&gt;
* [[Marveltri13]] – 13-tone mega-chromatic scale
POTE generator: ~8/7 = 234.381&lt;br /&gt;
 
&lt;br /&gt;
== Edson ==
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
{{See also| Subgroup temperaments #Edson }}
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/radon5"&gt;Five note pentacircle scale&lt;/a&gt;&lt;br /&gt;
* [[Edson5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/radon11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Edson7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/radon16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Edson12]] – 12-tone chromatic scale
&lt;br /&gt;
* [[Edson17]] – 17-tone mega-chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Skwares&lt;/h2&gt;
 
Subgroup: 2.3.7.11&lt;br /&gt;
== Photia ==
Commas: 99/98, 243/242&lt;br /&gt;
{{See also| Schismatic family #Photia (2.3.5.17) }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Hemif&lt;/h2&gt;
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
Subgroup: 2.3.7.11&lt;br /&gt;
 
Commas: 243/242, 896/891&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Photia7]] – 7-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Supra&lt;/h2&gt;
* [[Photia12]] – 12-tone chromatic scale
Subgroup: 2.3.7.11&lt;br /&gt;
 
Commas: 64/63, 99/98&lt;br /&gt;
== Shoe a.k.a. llywelyn ==
Related temperament: &lt;a class="wiki_link" href="/Archytas%20clan"&gt;superpyth&lt;/a&gt;&lt;br /&gt;
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}
&lt;br /&gt;
 
POTE generator: ~3/2 = 707.192&lt;br /&gt;
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
&lt;br /&gt;
 
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
Scales:
EDOs: 5, 7, 12, 17, 22, 39, 56&lt;br /&gt;
* [[Shoe5]] – 5-tone mini-haplotonic scale
&lt;br /&gt;
* [[Shoe6]] – 6-tone haplotonic scale
&lt;a class="wiki_link" href="/supra7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Shoe11]] – 11-tone albitonic scale
&lt;a class="wiki_link" href="/supra12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Shoe16]] – 16-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc7"&gt;&lt;a name="x-Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Mohaha&lt;/h2&gt;
== Roulette ==
Subgroup: 2.3.5.11&lt;br /&gt;
{{See also | Hemimean clan #Roulette }}
Commas: 81/80, 121/120&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;mohajira&lt;/a&gt;&lt;br /&gt;
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
&lt;br /&gt;
 
POTE generator: ~11/9 = 348.094&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Roulette6]] – 6-tone haplotonic scale
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
* [[Roulette7]] – 7-tone albitonic scale
EDOs: 7, 10, 17, 24, 31, 131&lt;br /&gt;
* [[Roulette13]] – 13-tone chromatic scale
&lt;br /&gt;
* [[Roulette19]] – 19-tone mega-chromatic scale
&lt;a class="wiki_link" href="/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Silver ==
&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Silver }}
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Cata&lt;/h2&gt;
 
Subgroup: 2.3.5.13&lt;br /&gt;
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]
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;
* [[Silver7]] – 7-tone haplotonic scale
POTE generator: ~6/5 = 317.076&lt;br /&gt;
* [[Silver10]] – 10-tone albitonic scale
&lt;br /&gt;
* [[Silver17]] – 17-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;
== Baldy ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Baldy }}
&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;
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
&lt;a class="wiki_link" href="/cata15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/cata19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
Scales
&lt;br /&gt;
* [[Baldy6]] – 6-tone haplotonic scale
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Nestoria&lt;/h2&gt;
* [[Baldy11]] – 11-tone albitonic scale
Subgroup: 2.3.5.19&lt;br /&gt;
* [[Baldy17]] – 17-tone chromatic scale
Commas: 361/360, 513/512&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Guanyintet ==
POTE generator: ~3/2 = 701.746&lt;br /&gt;
{{See also | Subgroup temperaments #Guanyintet }}
&lt;br /&gt;
 
Map: [&amp;lt;1 0 15 9], &amp;lt;0 1 -8 -3|]&lt;br /&gt;
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 118, 171&lt;br /&gt;
* [[Guanyintet5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Guanyintet9]] – 9-tone albitonic scale
&lt;a class="wiki_link" href="/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Guanyintet13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Radon ==
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x-Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Photia&lt;/h2&gt;
{{See also| Gamelismic clan #Radon }}
Subgroup 2.3.5.17.19&lt;br /&gt;
 
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
* [[Radon5]] – 5-tone haplotonic scale
POTE generator: ~3/2 = 701.470&lt;br /&gt;
* [[Radon11]] – 11-tone albitonic scale
&lt;br /&gt;
* [[Radon16]] – 16-tone chromatic scale
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;
== Gariberttet ==
&lt;br /&gt;
{{See also | Subgroup temperaments #Gariberttet }}
&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;
* [[Gariberttet5]] – 5-tone haplotonic scale
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x-Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Tutone&lt;/h2&gt;
* [[Gariberttet9]] – 9-tone albitonic scale
Subgroup: 2.9.5.7.11&lt;br /&gt;
* [[Gariberttet13]] – 13-tone chromatic scale
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
== Namo ==
&lt;br /&gt;
{{See also| Rastmic clan #Namo }}
POTE generator: ~9/8 = 193.937&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
* [[Namo7]] – 7-tone haplotonic scale
EDOs: 6, 7, 13, 19, 25, 31, 99&lt;br /&gt;
* [[Namo10]] – 10-tone albitonic scale
&lt;br /&gt;
* [[Namo17]] – 17-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;
== Sentry ==
&lt;a class="wiki_link" href="/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also | Subgroup temperaments #Sentry }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x-Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Leantone&lt;/h2&gt;
Scales:  
Subgroup: 2.9.5.7.11&lt;br /&gt;
* [[Sentry5]] – 5-tone haplotonic scale
Commas: 45/44, 56/55, 81/80&lt;br /&gt;
* [[Sentry8]] – 8-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;&lt;br /&gt;
* [[Sentry11]] – 11-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~9/8 = 192.500&lt;br /&gt;
== Hemif ==
&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Hemif }}
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;/body&gt;&lt;/html&gt;</pre></div>
[[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

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

Scales:

Music

Petrtri

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

Scales:

Barton

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

Scales:

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

Tridec

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

Scales:

Nestoria

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

Scales:

Orgone

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

Scales:

Marveltwintri

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

Scales:

Cata

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

Scales:

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

Bridgetown

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

Scales:

Music

Haumea

See also: Subgroup temperaments § Haumea

Scales:

Neutral

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

Scales:

Music

Slendric

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

Scales:

Huntington

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

Scales:

Tobago

See also: Subgroup temperaments § Tobago

Scales:

Pepperoni

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

Scales:

Wizz

See also: No-threes subgroup temperaments § Wizz

Scales:

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

Bossier

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

Scales:

Penta a.k.a. mechanism

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

Scales:

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

Bluebirds

See also: No-threes subgroup temperaments § Bluebirds

Scales:

Marveltri

See also: Subgroup temperaments § Marveltri

Scales:

Edson

See also: Subgroup temperaments § Edson

Scales:

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

Photia

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

Scales:

Shoe a.k.a. llywelyn

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

Scales:

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

Roulette

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

Scales:

Silver

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

Scales:

Baldy

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

Scales

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


Guanyintet

See also: Subgroup temperaments § Guanyintet

Scales:

Radon

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

Gariberttet

See also: Subgroup temperaments § Gariberttet

Scales:

Namo

See also: Rastmic clan § Namo

Scales:

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

Sentry

See also: Subgroup temperaments § Sentry

Scales:

Hemif

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

Scales:

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

Garibaldi

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

Scales:

Mabilic

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

Scales:

Indium

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

Scales:

Music

Starlingtet

See also: Subgroup temperaments § Starlingtet

Scales:

Lovecraft

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

Scales:

Blackbirds

See also: No-threes subgroup temperaments § Blackbirds

Scales:

Laz

See also: Subgroup temperaments § Laz

Scales:

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

Myna

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

Scales:

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

Greeley

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

Scales:

Music

Ammon

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

Scales:

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

Mothwelltri

See also: Subgroup temperaments § Mothwelltri

Scales:

Sulis

See also: Subgroup temperaments § Sulis

Scales:

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

Skwares

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

Scales:

Orwell

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

Scales:

Magicaltet

See also: Subgroup temperaments § Magicaltet

Scales:

Magic

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

Scales:

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

Kiribati

See also: Subgroup temperaments § Kiribati

Scales:

Score

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

Scales:

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

Sensi

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

Scales:

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

Sensation

Main article: Sensi
See also: Sensipent family § Sensi

Scales:

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

Meantone

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

Scales:

Mohaha

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

Scales:

Music:

Billy Stiltner

Mohoho

See also: Rastmic clan § Mohoho

Joan

See also: Subgroup temperaments § Joan

Scales:

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

Tutone

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

Scales:

Stacks

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

Scales:

Bleu

See also: No-fives subgroup temperaments § Bleu

Scales:

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

Sephiroth

See also: No-threes subgroup temperaments § Sephiroth

Scales:

Archy

Main article: Superpyth
See also: Archytas clan § Archy

Scales:

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

Supra

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

Scales:

Supraphon

Main article: Superpyth
See also: Archytas clan § Supraphon

Suhajira

See also: Archytas clan § Suhajira

Scales:

Machine

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

Scales:

Deutone

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

Scales:

Negra

Main article: Negri
See also: Marvel temperaments § Negri

Porkypine

Main article: Porcupine
See also: Porcupine family § Porcupine

Scales:

Skateboard

See also: Subgroup temperaments § Skateboard

Scales:

Augment

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

Scales:

Semaphore

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

Scales:

Kryptonite

See also: Subgroup temperaments § Kryptonite

Scales:

Oregon

See also: Orgonia § Oregon

Scales:

Antikythera

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

Scales:

Glacial

See also: Subgroup temperaments § Glacial

Scales:

Leantone

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

Scales:

Notes

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