Chromatic pairs: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">By a //chromatic pair// is meant a pair of MOS in some rank two temperament (which may often be a [[Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5].


==Terrain==
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: 2.9/5.9/7
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]


==Bridgetown==
== Petrtri ==
Subgroup: 2.3.11/5.13/5
{{See also| Subgroup temperaments #Petrtri }}
Commas: 352/351, 676/675
Related temperament: [[The Archipelago|barabdos]]


POTE generator: ~15/13 = 248.285
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
Scales:  
EDOs: 5, 9, 14, 19, 24, 29
* [[Petrtri5]] – 5-tone haplotonic scale
Error: 0.8489 cents
* [[Petrtri8]] – 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


[[bridgetown9|Nine note albitonic scale]]
== Barton ==
[[bridgetown14|Fourteen note chromatic scale]]
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
{{See also| The Jacobins #Barton }}


==Hemif==
Scales:
Subgroup: 2.3.7.11.13
* [[Barton5]] – 5-tone haplotonic scale
Commas: 144/143, 243/242, 364/363
* [[Barton7]] – 7-tone albitonic scale
Related temperament: [[Breedsmic temperaments|Hemififths]]
* [[Barton9]] – 9-tone mega-albitonic scale
* [[Barton11]] – 11-tone chromatic scale
* [[Barton13]] – 13-tone mega-chromatic scale


POTE generator: ~11/9 = 351.691
== Tridec ==
{{See also| Subgroup temperaments #Tridec }}


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]
EDOs: 7, 10, 17, 24, 41, 58
Error: 1.756


[[hemif7|Seven note haplotonic scale]]
Scales:
[[hemif10|Ten note albitonic scale]]
* [[Tridec8]] – 8-tone albitonic scale
[[hemif17|Seventeen note chromatic scale]]
* [[Tridec13]] – 13-tone chromatic scale


==Radon==
== Nestoria ==
Subgroup: 2.3.7.11
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
Commas: 896/891, 1029/1024
Related temperament: [[Gamelismic clan|Rodan]]


POTE generator: ~8/7 = 234.381
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]


Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
Scales:  
EDOs: 5, 36, 41, 87, 128
* [[Nestoria7]] – 7-tone albitonic scale
Error: 1.781 cents
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


[[radon5|Five note haplotonic scale]]
== Orgone ==
[[radon11|Eleven note albitonic scale]]
{{Main| Orgone }}
[[radon16|Sixteen note chromatic scale]]
{{See also| Orgonia #Orgone }}


==Pepperoni==
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
Subgroup: 2.3.11/7.13/7
Commas: 352/351, 364/363
Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]]


POTE generator: ~3/2 = 704.052
Scales:  
* [[Orgone7]] – 7-tone albitonic scale
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


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


[[pepperoni7|Seven note albitonic scale]]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
[[pepperoni12|Twelve note chromatic scale]]


==Skwares==
Scales:
Subgroup: 2.3.7.11
* [[Marveltwintri7]] – 7-tone albitonic scale
Commas: 99/98, 243/242
* [[Marveltwintri11]] – 11-tone chromatic scale
Related temperament: [[Meantone family|squares]]
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


POTE generator: ~9/7 = 425.244
== Cata ==
{{Main| Kleismic }}
{{See also| Kleismic family #Cata }}


Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206
Error: 3.009 cents


[[skwares8|Eight note albitonic scale]]
Scales:
[[skwares11|Eleven note mega albitonic scale]]
* [[Cata7]] – 7-tone albitonic scale
[[skwares14|Fourteen note chromatic scale]]
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


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


POTE generator: ~11/9 = 348.094
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
Scales:  
EDOs: 7, 10, 17, 24, 31, 131
* [[Bridgetown9]] – 9-tone albitonic scale
Error: 3.813 cents
* [[Bridgetown14]] – 14-tone chromatic scale


[[mohaha7|Seven note albitonic scale]]
; Music
[[mohaha10|Ten note chromatic 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]]
* ''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


===Mohoho===
== Haumea ==
Subgroup: 2.3.5.11.13
{{See also| Subgroup temperaments #Haumea }}
Commas: 66/65, 81/80, 121/120


POTE generator: ~11/9 = 348.916
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 1 0 2 4|, &lt;0 2 8 5 -1|]
== Neutral ==
EDOs: 7, 10, 17, 24, 31, 55
{{See also| Rastmic clan #Neutral }}
Error: 4.829 cents


==Supra==
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[Archytas clan|superpyth]]


POTE generator: ~3/2 = 707.192
Scales:  
* [[Neutral7]] – 7-tone albitonic scale
* [[Neutral10]] – 10-tone chromatic scale
* [[Neutral17]] – 17-tone mega-chromatic scale


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
; Music
EDOs: 5, 7, 12, 17, 22, 39, 56
* [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
Error: 5.414 cents


[[supra7|Seven note albitonic scale]]
== Slendric ==
[[supra12|Twelve note chromatic scale]]
{{Main| Slendric }}
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


==Greeley==
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
Subgroup: 2.5/3.7/3.11/3
Commas: 121/120, 126/125


POTE generator: ~11/10 = 156.055
Scales:  
* [[Slendric5]] – 5-tone haplotonic scale
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
== Huntington ==
EDOs: 8, 15, 23, 77, 100
{{See also| No-threes subgroup temperaments #Huntington }}
Error: 7.555 cents


[[greeley8|Eight note albitonic scale]]
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
[[greeley15|Fifteen note chromatic scale]]


==Cata==
Scales:
Subgroup: 2.3.5.13
* [[Huntington7]] – 7-tone haplotonic scale
Commas: 325/324, 625/624
* [[Huntington10]] – 10-tone albitonic scale
Related temperament: [[Kleismic family|catakleismic]]
* [[Huntington17]] – 17-tone chromatic scale


POTE generator: ~6/5 = 317.076
== Tobago ==
{{See also| Subgroup temperaments #Tobago }}


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
Scales:  
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


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


==Nestoria==
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]
Subgroup: 2.3.5.19
Commas: 361/360, 513/512
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.746
Scales:  
* [[Pepperoni7]] – 7-tone albitonic scale
* [[Pepperoni12]] – 12-tone chromatic scale


Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]
== Wizz ==
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
{{See also| No-threes subgroup temperaments #Wizz }}


[[nestoria7|Seven note albitonic scale]]
Scales:
[[nestoria12|Twelve note chromatic scale]]
* [[Wizz6]] – 6-tone haplotonic scale
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


==Photia==
== Bossier ==
Subgroup 2.3.5.17.19
{{See also| No-threes subgroup temperaments #Bossier }}
Commas: 171/170, 256/255, 324/323
Related temperament: [[Schismatic family|schismatic]]


POTE generator: ~3/2 = 701.470
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 65
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


[[photia7|Seven note albitonic scale]]
== Penta a.k.a. mechanism ==
[[photia12|Twelve note chromatic scale]]
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}


==Baldy==
Scales:
Subgroup: 2.9.5.7.13
* [[Penta5]] – 5-tone haplotonic scale
Commas: 225/224, 325/325, 640/637
* [[Penta8]] – 8-tone albitonic scale
Related temperament: [[Schismatic family|Garibaldi]]
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


POTE generator: ~9/8 = 204.090
== Bluebirds ==
{{See also| No-threes subgroup temperaments #Bluebirds }}


Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]
Scales:  
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
* [[Bluebirds6]] – 6-tone haplotonic scale
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale


[[baldy6|Six note haplotonic scale]]
== Marveltri ==
[[baldy11|Eleven note albitonic scale]]
{{See also| Subgroup temperaments #Marveltri }}
[[baldy17|Seventeen note chromatic scale]]


==Tutone==
Scales:
Subgroup: 2.9.5.7.11
* [[Marveltri7]] – 7-tone albitonic scale
Commas: 81/80, 99/98, 126/125
* [[Marveltri10]] – 10-tone chromatic scale
Related temperament: [[Meantone family|meantone]]
* [[Marveltri13]] – 13-tone mega-chromatic scale


POTE generator: ~9/8 = 193.937
== Edson ==
{{See also| Subgroup temperaments #Edson }}


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 99
* [[Edson5]] – 5-tone haplotonic scale
* [[Edson7]] – 7-tone albitonic scale
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


[[tutone6|Six note haplotonic scale]]
== Photia ==
[[tutone7|Seven note albitonic scale]]
{{See also| Schismatic family #Photia (2.3.5.17) }}
[[tutone13|Thirteen note chromatic scale]]


==Leantone==
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]
Subgroup: 2.9.5.7.11
Commas: 45/44, 56/55, 81/80
Related temperament: [[Meantone family|flattone]]


POTE generator: ~9/8 = 192.500
Scales:  
* [[Photia7]] – 7-tone albitonic scale
* [[Photia12]] – 12-tone chromatic scale


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
== Shoe a.k.a. llywelyn ==
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


[[leantone6|Six note haplotonic scale]]
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
[[leantone7|Seven note albitonic scale]]
[[leantone13|Thirteen note chromatic scale]]


==Augment==
Scales:
Subgroup: 2.5.7.11
* [[Shoe5]] – 5-tone mini-haplotonic scale
Commas: 56/55, 128/125
* [[Shoe6]] – 6-tone haplotonic scale
Related temperament: [[Augmented family|augmented]]
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


POTE generator: ~8/7
== Roulette ==
{{See also | Hemimean clan #Roulette }}


Map: [&lt;3 7 9 11|, &lt;0 0 -1 -1|]
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
EDOs: 3, 6, 9, 15, 21


[[augment6|Six note haplotonic scale]]
Scales:
[[augment9|Nine note albitonic scale]]
* [[Roulette6]] – 6-tone haplotonic scale
[[augment12|Twelve note chromatic scale]]
* [[Roulette7]] – 7-tone albitonic scale
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


==Huntington==
== Silver ==
Subgroup: 2.5.7.13
{{See also | No-threes subgroup temperaments #Silver }}
Commas: 640/637, 10985/10976


POTE generator: ~16/13 = 357.002
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
Scales:  
EDOs: 7, 10, 17, 27, 37, 84, 121, 400
* [[Silver7]] – 7-tone haplotonic scale
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] 17-tone chromatic scale


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


==Roulette==
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]
Subgroup: 2.5.7.11.13
Commas: 176/175, 1375/1372, 640/637
Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]


POTE generator: ~28/25 = 194.594
Scales
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


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


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


==Score==
Scales:
Subgroup: 2.7.11.13
* [[Guanyintet5]] – 5-tone haplotonic scale
Commas: 343/338, 847/832
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


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


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]
EDOs: 5, 7, 9, 11, 20


[[score5|Five note haplotonic scale]]
* [[Radon5]] – 5-tone haplotonic scale
[[score7|Seven note albitonic scale]]
* [[Radon11]] – 11-tone albitonic scale
[[score9|Nine note mega albitonic scale]]
* [[Radon16]] – 16-tone chromatic scale
[[score11|Eleven note chromatic scale]]</pre></div>
 
<h4>Original HTML content:</h4>
== Gariberttet ==
<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].&lt;br /&gt;
{{See also | Subgroup temperaments #Gariberttet }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc0"&gt;&lt;a name="x-Terrain"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;Terrain&lt;/h2&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;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Bridgetown"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Bridgetown&lt;/h2&gt;
 
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
Scales:
Commas: 352/351, 676/675&lt;br /&gt;
* [[Sentry5]] – 5-tone haplotonic scale
Related temperament: &lt;a class="wiki_link" href="/The%20Archipelago"&gt;barabdos&lt;/a&gt;&lt;br /&gt;
* [[Sentry8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Sentry11]] – 11-tone chromatic scale
POTE generator: ~15/13 = 248.285&lt;br /&gt;
 
&lt;br /&gt;
== Hemif ==
Map: [&amp;lt;1 0 -6 -1|, &amp;lt;0 2 9 3|]&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Hemif }}
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
 
Error: 0.8489 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="/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/bridgetown14"&gt;Fourteen 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="x-Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Hemif&lt;/h2&gt;
* [[Hemif17]] – 17-tone chromatic scale
Subgroup: 2.3.7.11.13&lt;br /&gt;
 
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
== Garibaldi ==
Related temperament: &lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;&lt;br /&gt;
{{Main| Garibaldi temperament }}
&lt;br /&gt;
{{See also| Schismatic family #Garibaldi }}
POTE generator: ~11/9 = 351.691&lt;br /&gt;
 
&lt;br /&gt;
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
 
EDOs: 7, 10, 17, 24, 41, 58&lt;br /&gt;
Scales:  
Error: 1.756&lt;br /&gt;
* [[Garibaldi12]] – 12-tone albitonic scale
&lt;br /&gt;
* [[Garibaldi17]] – 17-tone chromatic scale
&lt;a class="wiki_link" href="/hemif7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/hemif10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Mabilic ==
&lt;a class="wiki_link" href="/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Mabilic }}
&lt;br /&gt;
 
&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;
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
Subgroup: 2.3.7.11&lt;br /&gt;
 
Commas: 896/891, 1029/1024&lt;br /&gt;
Scales:  
Related temperament: &lt;a class="wiki_link" href="/Gamelismic%20clan"&gt;Rodan&lt;/a&gt;&lt;br /&gt;
* [[Mabilic7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Mabilic9]] – 9-tone albitonic scale
POTE generator: ~8/7 = 234.381&lt;br /&gt;
* [[Mabilic16]] – 16-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&lt;br /&gt;
== Indium ==
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
{{See also | Subgroup temperaments #Indium }}
Error: 1.781 cents&lt;br /&gt;
 
&lt;br /&gt;
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
&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;
Scales:  
&lt;a class="wiki_link" href="/radon16"&gt;Sixteen note 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;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-Pepperoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Pepperoni&lt;/h2&gt;
 
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
; Music
Commas: 352/351, 364/363&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="/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;
 
&lt;br /&gt;
== Starlingtet ==
POTE generator: ~3/2 = 704.052&lt;br /&gt;
{{See also | Subgroup temperaments #Starlingtet }}
&lt;br /&gt;
 
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
Scales:  
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
* [[Starlingtet4]] – 4-tone haplotonic scale
Error: 2.155 cents&lt;br /&gt;
* [[Starlingtet7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Starlingtet11]] – 11-tone chromatic scale
&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;
== Lovecraft ==
&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Lovecraft }}
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="x-Skwares"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Skwares&lt;/h2&gt;
 
Subgroup: 2.3.7.11&lt;br /&gt;
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
Commas: 99/98, 243/242&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
Scales:
&lt;br /&gt;
* [[Lovecraft5]] – 5-tone haplotonic scale
POTE generator: ~9/7 = 425.244&lt;br /&gt;
* [[Lovecraft9]] – 9-tone albitonic scale
&lt;br /&gt;
* [[Lovecraft13]] – 13-tone chromatic scale
Map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
 
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206&lt;br /&gt;
== Blackbirds ==
Error: 3.009 cents&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Blackbirds }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/skwares8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/skwares11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Blackbirds8]] – 8-tone albitonic scale
&lt;a class="wiki_link" href="/skwares14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Blackbirds12]] – 12-tone chromatic scale
&lt;br /&gt;
* [[Blackbirds16]] – 16-tone mega-chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Mohaha&lt;/h2&gt;
 
Subgroup: 2.3.5.11&lt;br /&gt;
== Laz ==
Commas: 81/80, 121/120&lt;br /&gt;
{{See also | Subgroup temperaments #Laz }}
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;
* [[Laz5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Laz9]] – 9-tone albitonic scale
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
* [[Laz13]] – 13-tone chromatic scale
EDOs: 7, 10, 17, 24, 31, 131&lt;br /&gt;
 
Error: 3.813 cents&lt;br /&gt;
== Myna ==
&lt;br /&gt;
{{Main| Myna }}
&lt;a class="wiki_link" href="/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Starling temperaments #Myna }}
&lt;a class="wiki_link" href="/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Mohoho&lt;/h3&gt;
 
Subgroup: 2.3.5.11.13&lt;br /&gt;
Scales:  
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
* [[Myna7]] – 7-tone haplotonic scale
&lt;br /&gt;
* [[Myna11]] – 11-tone albitonic scale
POTE generator: ~11/9 = 348.916&lt;br /&gt;
* [[Myna15]] – 15-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
== Greeley ==
EDOs: 7, 10, 17, 24, 31, 55&lt;br /&gt;
{{See also| Subgroup temperaments #Greeley }}
Error: 4.829 cents&lt;br /&gt;
 
&lt;br /&gt;
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Supra&lt;/h2&gt;
 
Subgroup: 2.3.7.11&lt;br /&gt;
Scales:
Commas: 64/63, 99/98&lt;br /&gt;
* [[Greeley8]] – 8-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Archytas%20clan"&gt;superpyth&lt;/a&gt;&lt;br /&gt;
* [[Greeley15]] – 15-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~3/2 = 707.192&lt;br /&gt;
; Music
&lt;br /&gt;
* ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15]
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;
== Ammon ==
Error: 5.414 cents&lt;br /&gt;
{{See also| Subgroup temperaments #Ammon }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/supra7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
&lt;a class="wiki_link" href="/supra12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Greeley&lt;/h2&gt;
* [[Ammon8]] – 8-tone albitonic scale
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
* [[Ammon13]] – 13-tone chromatic scale
Commas: 121/120, 126/125&lt;br /&gt;
 
&lt;br /&gt;
== Mothwelltri ==
POTE generator: ~11/10 = 156.055&lt;br /&gt;
{{See also| Subgroup temperaments #Mothwelltri }}
&lt;br /&gt;
 
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
Scales:  
EDOs: 8, 15, 23, 77, 100&lt;br /&gt;
* [[Mothwelltri5]] – 5-tone haplotonic scale
Error: 7.555 cents&lt;br /&gt;
* [[Mothwelltri9]] – 9-tone albitonic scale
&lt;br /&gt;
* [[Mothwelltri13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/greeley8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/greeley15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Sulis ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Sulis }}
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x-Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Cata&lt;/h2&gt;
 
Subgroup: 2.3.5.13&lt;br /&gt;
Scales:  
Commas: 325/324, 625/624&lt;br /&gt;
* [[Sulis7]] – 7-tone haplotonic scale
Related temperament: &lt;a class="wiki_link" href="/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
* [[Sulis10]] – 10-tone albitonic scale
&lt;br /&gt;
* [[Sulis13]] – 13-tone chromatic scale
POTE generator: ~6/5 = 317.076&lt;br /&gt;
 
&lt;br /&gt;
== Skwares ==
Map: [&amp;lt;1 0 1 0|, &amp;lt;0 6 5 14|]&lt;br /&gt;
{{Main| Squares }}
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Skwares }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/cata7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
&lt;a class="wiki_link" href="/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;
* [[Skwares8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Skwares11]] – 11-tone mega-albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x-Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Nestoria&lt;/h2&gt;
* [[Skwares14]] – 14-tone chromatic scale
Subgroup: 2.3.5.19&lt;br /&gt;
 
Commas: 361/360, 513/512&lt;br /&gt;
== Orwell ==
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
{{Main| Orwell }}
&lt;br /&gt;
{{See also| Semicomma family #Orwell }}
POTE generator: ~3/2 = 701.746&lt;br /&gt;
 
&lt;br /&gt;
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
Map: [&amp;lt;1 0 15 9], &amp;lt;0 1 -8 -3|]&lt;br /&gt;
 
EDOs: 7, 12, 17, 29, 41, 53, 118, 171&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Orwell5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Orwell9]] – 9-tone albitonic scale
&lt;a class="wiki_link" href="/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Orwell13]] – 13-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x-Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Photia&lt;/h2&gt;
== Magicaltet ==
Subgroup 2.3.5.17.19&lt;br /&gt;
{{See also| Subgroup temperaments #Magicaltet }}
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Magicaltet7]] – 7-tone albitonic scale
POTE generator: ~3/2 = 701.470&lt;br /&gt;
* [[Magicaltet11]] – 11-tone chromatic scale
&lt;br /&gt;
* [[Magicaltet15]] – 15-tone mega-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;
== Magic ==
&lt;br /&gt;
{{Main| Magic }}
&lt;a class="wiki_link" href="/photia7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Magic family #Magic }}
&lt;a class="wiki_link" href="/photia12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="x-Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Baldy&lt;/h2&gt;
 
Subgroup: 2.9.5.7.13&lt;br /&gt;
Scales:  
Commas: 225/224, 325/325, 640/637&lt;br /&gt;
* [[Magic7]] – 7-tone haplotonic scale
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
* [[Magic10]] – 10-tone albitonic scale
&lt;br /&gt;
* [[Magic13]] – 13-tone chromatic scale
POTE generator: ~9/8 = 204.090&lt;br /&gt;
* [[Magic16]] – 16-tone mega-chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 0 15 25 -8|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
== Kiribati ==
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147&lt;br /&gt;
{{See also| Subgroup temperaments #Kiribati }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/baldy6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/baldy11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Kiribati13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/baldy17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Kiribati14]] – 14-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x-Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Tutone&lt;/h2&gt;
== Score ==
Subgroup: 2.9.5.7.11&lt;br /&gt;
{{See also|No-threes subgroup temperaments #Score }}
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;
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
&lt;br /&gt;
 
POTE generator: ~9/8 = 193.937&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Score5]] – 5-tone haplotonic scale
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
* [[Score7]] – 7-tone albitonic scale
EDOs: 6, 7, 13, 19, 25, 31, 99&lt;br /&gt;
* [[Score9]] – 9-tone mega-albitonic scale
&lt;br /&gt;
* [[Score11]] – 11-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;
== Sensi ==
&lt;a class="wiki_link" href="/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Sensi }}
&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="x-Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Leantone&lt;/h2&gt;
 
Subgroup: 2.9.5.7.11&lt;br /&gt;
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
Commas: 45/44, 56/55, 81/80&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
POTE generator: ~9/8 = 192.500&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
Map: [&amp;lt;1 0 -4 -13 -6|, &amp;lt;0 1 2 5 3|]&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
EDOs: 6, 7, 13, 19, 25, 31, 56, 81&lt;br /&gt;
 
&lt;br /&gt;
=== Sensation ===
&lt;a class="wiki_link" href="/leantone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Sensi }}
&lt;a class="wiki_link" href="/leantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
&lt;a class="wiki_link" href="/leantone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="x-Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Augment&lt;/h2&gt;
* [[Sensi5]] – 5-tone haplotonic scale
Subgroup: 2.5.7.11&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
Commas: 56/55, 128/125&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Augmented%20family"&gt;augmented&lt;/a&gt;&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~8/7&lt;br /&gt;
== Meantone ==
&lt;br /&gt;
{{Main| Meantone }}
Map: [&amp;lt;3 7 9 11|, &amp;lt;0 0 -1 -1|]&lt;br /&gt;
{{See also| Meantone family #Meantone }}
EDOs: 3, 6, 9, 15, 21&lt;br /&gt;
 
&lt;br /&gt;
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
&lt;a class="wiki_link" href="/augment6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/augment9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/augment12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Meantone5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Meantone7]] 7-tone albitonic scale
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="x-Huntington"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Huntington&lt;/h2&gt;
* [[Meantone12]] – 12-tone chromatic scale
Subgroup: 2.5.7.13&lt;br /&gt;
 
Commas: 640/637, 10985/10976&lt;br /&gt;
== Mohaha ==
&lt;br /&gt;
{{See also| Rastmic clan #Mohaha }}
POTE generator: ~16/13 = 357.002&lt;br /&gt;
 
&lt;br /&gt;
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
Map: [&amp;lt;1 5 4 4|, &amp;lt;0 -9 -4 -1|]&lt;br /&gt;
 
EDOs: 7, 10, 17, 27, 37, 84, 121, 400&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Mohaha7]] – 7-tone albitonic scale
&lt;a class="wiki_link" href="/huntington7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Mohaha10]] – 10-tone chromatic scale
&lt;a class="wiki_link" href="/huntington10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/huntington17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
Music:  
&lt;br /&gt;
; [[Billy Stiltner]]
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="x-Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Roulette&lt;/h2&gt;
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}
Subgroup: 2.5.7.11.13&lt;br /&gt;
 
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
=== Mohoho ===
Related temperament: &lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;&lt;br /&gt;
{{See also| Rastmic clan #Mohoho }}
&lt;br /&gt;
 
POTE generator: ~28/25 = 194.594&lt;br /&gt;
== Joan ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Joan }}
Map: [&amp;lt;1 0 -3 -7 -13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
 
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Joan5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/roulette6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Joan7]] 7-tone albitonic scale
&lt;a class="wiki_link" href="/roulette7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Joan9]] – 9-tone mega-albitonic scale
&lt;a class="wiki_link" href="/roulette13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Joan11]] – 11-tone chromatic scale
&lt;a class="wiki_link" href="/roulette19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Tutone ==
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc19"&gt;&lt;a name="x-Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;Score&lt;/h2&gt;
{{See also| Hemimean clan #Tutone }}
Subgroup: 2.7.11.13&lt;br /&gt;
 
Commas: 343/338, 847/832&lt;br /&gt;
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
&lt;br /&gt;
 
POTE generator: ~11/8 = 540.099&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Tutone6]] – 6-tone haplotonic scale
Map: [&amp;lt;1 1 3 1|, &amp;lt;0 4 1 6|]&lt;br /&gt;
* [[Tutone7]] – 7-tone albitonic scale
EDOs: 5, 7, 9, 11, 20&lt;br /&gt;
* [[Tutone13]] – 13-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/score5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
== Stacks ==
&lt;a class="wiki_link" href="/score7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}
&lt;a class="wiki_link" href="/score9"&gt;Nine note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/score11"&gt;Eleven note chromatic scale&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
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}}