Chromatic pairs: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 209525280 - Original comment: **
m Update to many links
 
(379 intermediate revisions by 30 users not shown)
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
A '''chromatic pair''' is a pair of [[mos scale]]s in some [[rank-2 temperament]] (either a full [[Harmonic limit|''p''-limit]] temperament or a [[subgroup temperament]]) that are analogous to the familiar [[5L 2s|diatonic]] and [[chromatic]] scales of standard tuning. The smaller scale is an '''albitonic scale''' (from Latin ''albus'', "white"), named such since the diatonic scale can be played using the white keys of a piano, and the larger of the two is a '''chromatic scale''', analogous to the chromatic scale of standard tuning. Other related scales can be associated to chromatic pairs, namely a '''haplotonic scale''' (from Greek ''haplóos'', "single, simple"), analogous to the pentatonic scale of standard tuning and played using the black keys of a piano.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-11 03:49:41 UTC</tt>.<br>
: The original revision id was <tt>209525280</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">By a //chromatic pair// is meant a pair of MOS in some rank two temperament (which may often be a [[Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5].


==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]


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


POTE generator: ~11/10 = 156.055
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]


Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
Scales:  
EDOs: 8, 15, 23, 77, 100
* [[Petrtri5]] – 5-tone haplotonic scale
Error: 7.555 cents
* [[Petrtri8]] 8-tone albitonic scale
* [[Petrtri13]] – 13-tone chromatic scale


[[greeley8|Eight note albitonic scale]]
== Barton ==
[[greeley15|Fifteen note chromatic scale]]
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
{{See also| The Jacobins #Barton }}


==Pepperoni==
Scales:
Subgroup: 2.3.11/7.13/7
* [[Barton5]] – 5-tone haplotonic scale
Commas: 352/351, 364/363
* [[Barton7]] – 7-tone albitonic scale
Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]]
* [[Barton9]] – 9-tone mega-albitonic scale
* [[Barton11]] – 11-tone chromatic scale
* [[Barton13]] – 13-tone mega-chromatic scale


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


Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
Error: 2.155 cents


[[pepperoni7|Seven note albitonic scale]]
Scales:
[[pepperoni12|Twelve note chromatic scale]]
* [[Tridec8]] – 8-tone albitonic scale
* [[Tridec13]] – 13-tone chromatic scale


==Bridgetown==
== Nestoria ==
Subgroup: 2.3.11/5.13/5
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
Commas: 352/351, 676/675
Related temperament: [[The Archipelago|barabdos]]


POTE generator: ~15/13 = 248.285
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]


Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
Scales:  
EDOs: 5, 9, 14, 19, 24, 29
* [[Nestoria7]] – 7-tone albitonic scale
Error: 0.8489 cents
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


[[bridgetown9|Nine note albitonic scale]]
== Orgone ==
[[bridgetown14|Fourteen note chromatic scale]]
{{Main| Orgone }}
{{See also| Orgonia #Orgone }}


==Radon==
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]
Subgroup: 2.3.7.11
Commas: 896/891, 1029/1024
Related temperament: [[Gamelismic clan|Rodan]]


POTE generator: ~8/7 = 234.381
Scales:  
* [[Orgone7]] – 7-tone albitonic scale
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
== Marveltwintri ==
EDOs: 5, 36, 41, 87, 128
{{See also| Subgroup temperaments #Marveltwintri }}
Error: 1.781 cents


[[radon5|Five note haplotonic scale]]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]
[[radon11|Eleven note albitonic scale]]
[[radon16|Sixteen 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 #Kleismic (2.3.5.13) a.k.a. 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]]
[[skwares11|Eleven note mega albitonic scale]]
[[skwares14|Fourteen note chromatic scale]]


==Hemif==
Scales:
Subgroup: 2.3.7.11.13
* [[Cata7]] – 7-tone albitonic scale
Commas: 144/143, 243/242, 364/363
* [[Cata11]] – 11-tone mega-albitonic scale
Related temperament: [[Breedsmic temperaments|Hemififths]]
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


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


Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]
EDOs: 7, 10, 17, 24, 41, 58


[[hemif7|Seven note haplotonic scale]]
Scales:
[[hemif10|Ten note albitonic scale]]
* [[Bridgetown9]] – 9-tone albitonic scale
[[hemif17|Seventeen note chromatic scale]]
* [[Bridgetown14]] – 14-tone chromatic scale


==Supra==
; Music
Subgroup: 2.3.7.11
* [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]]
Commas: 64/63, 99/98
* ''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
Related temperament: [[Archytas clan|superpyth]]


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


Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
Scales:  
EDOs: 5, 7, 12, 17, 22, 39, 56
* [[Haumea5]] – 5-tone haplotonic scale
* [[Haumea9]] – 9-tone albitonic scale
* [[Haumea14]] – 14-tone chromatic scale
* [[Haumea19]] – 19-tone mega-chromatic scale


[[supra7|Seven note albitonic scale]]
== Neutral ==
[[supra12|Twelve note chromatic scale]]
{{See also| Rastmic clan #Neutral }}


==Mohaha==
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]
Subgroup: 2.3.5.11
Commas: 81/80, 121/120
Related temperament: [[Meantone family|mohajira]]


POTE generator: ~11/9 = 348.094
Scales:  
* [[Neutral7]] – 7-tone albitonic scale
* [[Neutral10]] – 10-tone chromatic scale
* [[Neutral17]] – 17-tone mega-chromatic scale


Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]
; Music
EDOs: 7, 10, 17, 24, 31, 131
* [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


[[mohaha7|Seven note albitonic scale]]
== Slendric ==
[[mohaha10|Ten note chromatic scale]]
{{Main| Slendric }}
{{See also| Gamelismic clan #Slendric }}


===Mohoho===
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
Subgroup: 3.3.5.11.13
Commas: 66/65, 81/80, 121/120


POTE generator: ~11/9 = 348.916
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 0 2 4|, &lt;0 2 8 5 -1|]
== Huntington ==
EDOs: 7, 10, 17, 24, 31, 55
{{See also| No-threes subgroup temperaments #Huntington }}


==Cata==
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]
Subgroup: 2.3.5.13
Commas: 325/324, 625/624
Related temperament: [[Kleismic family|catakleismic]]


POTE generator: ~6/5 = 317.076
Scales:  
* [[Huntington7]] – 7-tone haplotonic scale
* [[Huntington10]] – 10-tone albitonic scale
* [[Huntington17]] – 17-tone chromatic scale


Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]
== Tobago ==
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246
{{See also| Subgroup temperaments #Tobago }}


[[cata7|Seven note albitonic scale]]
Scales:
[[cata11|Eleven note mega albitonic scale]]
* [[Tobago6]] – 6-tone haplotonic scale
[[cata15|Fifteen note chromatic scale]]
* [[Tobago10]] – 10-tone albitonic scale
[[cata19|Nineteen note mega chromatic scale]]
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


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


POTE generator: ~3/2 = 701.746
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]


Map: [&lt;1 0 15 9], &lt;0 1 -8 -3|]
Scales:  
EDOs: 7, 12, 17, 29, 41, 53, 118, 171
* [[Pepperoni7]] – 7-tone albitonic scale
* [[Pepperoni12]] 12-tone chromatic scale


[[nestoria7|Seven note albitonic scale]]
== Wizz ==
[[nestoria12|Twelve note chromatic scale]]
{{See also| No-threes subgroup temperaments #Wizz }}


==Photia==
Scales:
Subgroup 2.3.5.17.19
* [[Wizz6]] – 6-tone haplotonic scale
Commas: 171/170, 256/255, 324/323
* [[Wizz10]] – 10-tone albitonic scale
Related temperament: [[Schismatic family|schismatic]]
* [[Wizz16]] – 16-tone chromatic scale


POTE generator: ~3/2 = 701.470
== Bossier ==
{{See also| No-threes subgroup temperaments #Bossier }}


Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]
EDOs: 7, 12, 17, 29, 41, 53, 65


[[photia7|Seven note albitonic scale]]
Scales:
[[photia12|Twelve note chromatic scale]]
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


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


POTE generator: ~9/8 = 204.090
Scales:  
* [[Penta5]] – 5-tone haplotonic scale
* [[Penta8]] – 8-tone albitonic scale
* [[Penta11]] – 11-tone chromatic scale
* [[Penta19]] – 19-tone mega-chromatic scale


Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]
== Bluebirds ==
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147
{{See also| No-threes subgroup temperaments #Bluebirds }}


[[baldy6|Six note haplotonic scale]]
Scales:
[[baldy11|Eleven note albitonic scale]]
* [[Bluebirds6]] – 6-tone haplotonic scale
[[baldy17|Seventeen note chromatic scale]]
* [[Bluebirds7]] – 7-tone albitonic scale
* [[Bluebirds13]] – 13-tone chromatic scale


==Tutone==
== Marveltri ==
Subgroup: 2.9.5.7.11
{{See also| Subgroup temperaments #Marveltri }}
Commas: 81/80, 99/98, 126/125
Related temperament: [[Meantone family|meantone]]


POTE generator: ~9/8 = 193.937
Scales:  
* [[Marveltri7]] – 7-tone albitonic scale
* [[Marveltri10]] – 10-tone chromatic scale
* [[Marveltri13]] – 13-tone mega-chromatic scale


Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]
== Edson ==
EDOs: 6, 7, 13, 19, 25, 31, 99
{{See also| Subgroup temperaments #Edson }}


[[tutone6|Six note haplotonic scale]]
Scales:
[[tutone7|Seven note albitonic scale]]
* [[Edson5]] – 5-tone haplotonic scale
[[tutone13|Thirteen note chromatic scale]]
* [[Edson7]] – 7-tone albitonic scale
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


==Leantone==
== Photia ==
Subgroup: 2.9.5.7.11
{{See also| Schismatic family #Photia (2.3.5.17) }}
Commas: 45/44, 56/55, 81/80
Related temperament: [[Meantone family|flattone]]


POTE generator: ~9/8 = 192.500
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]


Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
Scales:  
EDOs: 6, 7, 13, 19, 25, 31, 56, 81
* [[Photia7]] – 7-tone albitonic scale
* [[Photia12]] – 12-tone chromatic scale


[[leantone6|Six note haplotonic scale]]
== Shoe a.k.a. llywelyn ==
[[leantone7|Seven note albitonic scale]]
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}
[[leantone13|Thirteen note chromatic scale]]


==Augment==
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]
Subgroup: 2.5.7.11
Commas: 56/55, 128/125
Related temperament: [[Augmented family|augmented]]


POTE generator: ~8/7
Scales:
* [[Shoe5]] – 5-tone mini-haplotonic scale
* [[Shoe6]] – 6-tone haplotonic scale
* [[Shoe11]] – 11-tone albitonic scale
* [[Shoe16]] – 16-tone chromatic scale


Map: [&lt;3 7 9 11|, &lt;0 0 -1 -1|]
== Roulette ==
EDOs: 3, 6, 9, 15, 21
{{See also | Hemimean clan #Roulette }}


[[augment6|Six note haplotonic scale]]
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]
[[augment9|Nine note albitonic scale]]
[[augment12|Twelve note chromatic scale]]


==Huntington==
Scales:
Subgroup: 2.5.7.13
* [[Roulette6]] – 6-tone haplotonic scale
Commas: 640/637, 10985/10976
* [[Roulette7]] – 7-tone albitonic scale
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


POTE generator: ~16/13 = 357.002
== Silver ==
{{See also | No-threes subgroup temperaments #Silver }}


Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]
EDOs: 7, 10, 17, 27, 37, 84, 121, 400


[[huntington7|Seven note haplotonic scale]]
Scales:
[[huntington10|Ten note albitonic scale]]
* [[Silver7]] – 7-tone haplotonic scale
[[huntington17|Seventeen note chromatic scale]]
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


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


POTE generator: ~28/25 = 194.594
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]


Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]
Scales
EDOs: 6, 7, 13, 19, 25, 31, 37
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


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


==Score==
== Guanyintet ==
Subgroup: 2.7.11.13
{{See also | Subgroup temperaments #Guanyintet }}
Commas: 343/338, 847/832


POTE generator: ~11/8 = 540.099
Scales:  
* [[Guanyintet5]] – 5-tone haplotonic scale
* [[Guanyintet9]] – 9-tone albitonic scale
* [[Guanyintet13]] – 13-tone chromatic scale


Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]
== Radon ==
EDOs: 5, 7, 9, 11, 20
{{See also| Gamelismic clan #Radon }}


[[score5|Five note haplotonic scale]]
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]
[[score7|Seven note albitonic scale]]
 
[[score9|Nine note mega albitonic scale]]
* [[Radon5]] – 5-tone haplotonic scale
[[score11|Eleven note chromatic scale]]</pre></div>
* [[Radon11]] – 11-tone albitonic scale
<h4>Original HTML content:</h4>
* [[Radon16]] – 16-tone chromatic scale
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Chromatic pairs&lt;/title&gt;&lt;/head&gt;&lt;body&gt;By a &lt;em&gt;chromatic pair&lt;/em&gt; is meant a pair of MOS in some rank two temperament (which may often be a &lt;a class="wiki_link" href="/Just%20intonation%20subgroups"&gt;subgroup temperament&lt;/a&gt;) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called &amp;quot;albitonic&amp;quot; from the Latin word for &amp;quot;white&amp;quot;. Also included at times are &amp;quot;haplotonic&amp;quot; scales, which are the analogs of Meantone[5].&lt;br /&gt;
 
&lt;br /&gt;
== Gariberttet ==
&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;
{{See also | Subgroup temperaments #Gariberttet }}
Subgroup: 2.9/5.9/7&lt;br /&gt;
 
Commas: 250047/250000&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Gariberttet5]] – 5-tone haplotonic scale
POTE generator: ~10/9 = 182.462&lt;br /&gt;
* [[Gariberttet9]] – 9-tone albitonic scale
&lt;br /&gt;
* [[Gariberttet13]] – 13-tone chromatic scale
Map: [&amp;lt;3 0 -4|, &amp;lt;0 1 2|]&lt;br /&gt;
 
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558&lt;br /&gt;
== Namo ==
Error: 0.0859 cents&lt;br /&gt;
{{See also| Rastmic clan #Namo }}
&lt;br /&gt;
 
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;
Scales:  
&lt;br /&gt;
* [[Namo7]] – 7-tone haplotonic scale
&lt;a class="wiki_link" href="/terrain9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Namo10]] – 10-tone albitonic scale
&lt;a class="wiki_link" href="/terrain15"&gt;Fifteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Namo17]] – 17-tone chromatic scale
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc1"&gt;&lt;a name="x-Greeley"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;Greeley&lt;/h2&gt;
== Sentry ==
Subgroup: 2.5/3.7/3.11/3&lt;br /&gt;
{{See also | Subgroup temperaments #Sentry }}
Commas: 121/120, 126/125&lt;br /&gt;
 
&lt;br /&gt;
Scales:
POTE generator: ~11/10 = 156.055&lt;br /&gt;
* [[Sentry5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Sentry8]] – 8-tone albitonic scale
Map: [&amp;lt;1 1 2 2|, &amp;lt;0 -2 -6 -1|]&lt;br /&gt;
* [[Sentry11]] – 11-tone chromatic scale
EDOs: 8, 15, 23, 77, 100&lt;br /&gt;
 
Error: 7.555 cents&lt;br /&gt;
== Hemif ==
&lt;br /&gt;
{{See also| No-fives subgroup temperaments #Hemif }}
&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;
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc2"&gt;&lt;a name="x-Pepperoni"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Pepperoni&lt;/h2&gt;
Scales:
Subgroup: 2.3.11/7.13/7&lt;br /&gt;
* [[Hemif7]] – 7-tone haplotonic scale
Commas: 352/351, 364/363&lt;br /&gt;
* [[Hemif10]] – 10-tone albitonic scale
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;
* [[Hemif17]] – 17-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~3/2 = 704.052&lt;br /&gt;
== Garibaldi ==
&lt;br /&gt;
{{Main| Garibaldi }}
Map: [&amp;lt;1 0 7 12|, &amp;lt;0 1 -4 -7|]&lt;br /&gt;
{{See also| Schismatic family #Garibaldi }}
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271&lt;br /&gt;
 
Error: 2.155 cents&lt;br /&gt;
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]
&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;
* [[Garibaldi12]] – 12-tone albitonic scale
&lt;br /&gt;
* [[Garibaldi17]] – 17-tone chromatic scale
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x-Bridgetown"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Bridgetown&lt;/h2&gt;
 
Subgroup: 2.3.11/5.13/5&lt;br /&gt;
== Mabilic ==
Commas: 352/351, 676/675&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Mabilic }}
Related temperament: &lt;a class="wiki_link" href="/The%20Archipelago"&gt;barabdos&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]
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;
* [[Mabilic7]] – 7-tone haplotonic scale
EDOs: 5, 9, 14, 19, 24, 29&lt;br /&gt;
* [[Mabilic9]] – 9-tone albitonic scale
Error: 0.8489 cents&lt;br /&gt;
* [[Mabilic16]] – 16-tone chromatic scale
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/bridgetown9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Indium ==
&lt;a class="wiki_link" href="/bridgetown14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also | Subgroup temperaments #Indium }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc4"&gt;&lt;a name="x-Radon"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Radon&lt;/h2&gt;
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]
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;
* [[Indium8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Indium17]] – 17-tone chromatic scale
POTE generator: ~8/7 = 234.381&lt;br /&gt;
 
&lt;br /&gt;
; Music
Map: [&amp;lt;1 1 3 6|, &amp;lt;0 3 -1 -13|]&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]
EDOs: 5, 36, 41, 87, 128&lt;br /&gt;
 
Error: 1.781 cents&lt;br /&gt;
== Starlingtet ==
&lt;br /&gt;
{{See also | Subgroup temperaments #Starlingtet }}
&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;
* [[Starlingtet4]] – 4-tone haplotonic scale
&lt;br /&gt;
* [[Starlingtet7]] – 7-tone albitonic scale
&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;
* [[Starlingtet11]] – 11-tone chromatic scale
Subgroup: 2.3.7.11&lt;br /&gt;
 
Commas: 99/98, 243/242&lt;br /&gt;
== Lovecraft ==
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;squares&lt;/a&gt;&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Lovecraft }}
&lt;br /&gt;
 
POTE generator: ~9/7 = 425.244&lt;br /&gt;
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]
&lt;br /&gt;
 
Map: [&amp;lt;1 3 6 7|, &amp;lt;0 -4 -9 -10|]&lt;br /&gt;
Scales:  
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206&lt;br /&gt;
* [[Lovecraft5]] – 5-tone haplotonic scale
Error: 3.009 cents&lt;br /&gt;
* [[Lovecraft9]] – 9-tone albitonic scale
&lt;a class="wiki_link" href="/skwares8"&gt;Eight note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Lovecraft13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/skwares11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/skwares14"&gt;Fourteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Blackbirds ==
&lt;br /&gt;
{{See also | No-threes subgroup temperaments #Blackbirds }}
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc6"&gt;&lt;a name="x-Hemif"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Hemif&lt;/h2&gt;
 
Subgroup: 2.3.7.11.13&lt;br /&gt;
Scales:  
Commas: 144/143, 243/242, 364/363&lt;br /&gt;
* [[Blackbirds8]] – 8-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Breedsmic%20temperaments"&gt;Hemififths&lt;/a&gt;&lt;br /&gt;
* [[Blackbirds12]] – 12-tone chromatic scale
&lt;br /&gt;
* [[Blackbirds16]] – 16-tone mega-chromatic scale
POTE generator: ~11/9 = 351.691&lt;br /&gt;
 
&lt;br /&gt;
== Laz ==
Map: [&amp;lt;1 1 -1 2 4|, &amp;lt;0 2 13 5 -1|]&lt;br /&gt;
{{See also | Subgroup temperaments #Laz }}
EDOs: 7, 10, 17, 24, 41, 58&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/hemif7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Laz5]] – 5-tone haplotonic scale
&lt;a class="wiki_link" href="/hemif10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Laz9]] – 9-tone albitonic scale
&lt;a class="wiki_link" href="/hemif17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Laz13]] – 13-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-Supra"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Supra&lt;/h2&gt;
== Myna ==
Subgroup: 2.3.7.11&lt;br /&gt;
{{Main| Myna }}
Commas: 64/63, 99/98&lt;br /&gt;
{{See also| Starling temperaments #Myna }}
Related temperament: &lt;a class="wiki_link" href="/Archytas%20clan"&gt;superpyth&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]
POTE generator: ~3/2 = 707.192&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 0 6 13|, &amp;lt;0 1 -2 -6|]&lt;br /&gt;
* [[Myna7]] – 7-tone haplotonic scale
EDOs: 5, 7, 12, 17, 22, 39, 56&lt;br /&gt;
* [[Myna11]] – 11-tone albitonic scale
&lt;br /&gt;
* [[Myna15]] – 15-tone chromatic scale
&lt;a class="wiki_link" href="/supra7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/supra12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
== Greeley ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Greeley }}
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-Mohaha"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Mohaha&lt;/h2&gt;
 
Subgroup: 2.3.5.11&lt;br /&gt;
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]
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;
Scales:  
&lt;br /&gt;
* [[Greeley8]] – 8-tone albitonic scale
POTE generator: ~11/9 = 348.094&lt;br /&gt;
* [[Greeley15]] – 15-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 1 0 2|, &amp;lt;0 2 8 5|]&lt;br /&gt;
; Music
EDOs: 7, 10, 17, 24, 31, 131&lt;br /&gt;
* ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15]
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/mohaha7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Ammon ==
&lt;a class="wiki_link" href="/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Subgroup temperaments #Ammon }}
&lt;br /&gt;
 
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc9"&gt;&lt;a name="x-Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Mohoho&lt;/h3&gt;
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
Subgroup: 3.3.5.11.13&lt;br /&gt;
 
Commas: 66/65, 81/80, 121/120&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Ammon8]] – 8-tone albitonic scale
POTE generator: ~11/9 = 348.916&lt;br /&gt;
* [[Ammon13]] – 13-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
== Mothwelltri ==
EDOs: 7, 10, 17, 24, 31, 55&lt;br /&gt;
{{See also| Subgroup temperaments #Mothwelltri }}
&lt;br /&gt;
 
&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;
Scales:  
Subgroup: 2.3.5.13&lt;br /&gt;
* [[Mothwelltri5]] – 5-tone haplotonic scale
Commas: 325/324, 625/624&lt;br /&gt;
* [[Mothwelltri9]] – 9-tone albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Kleismic%20family"&gt;catakleismic&lt;/a&gt;&lt;br /&gt;
* [[Mothwelltri13]] – 13-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~6/5 = 317.076&lt;br /&gt;
== Sulis ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Sulis }}
Map: [&amp;lt;1 0 1 0|, &amp;lt;0 6 5 14|]&lt;br /&gt;
 
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Sulis7]] – 7-tone haplotonic scale
&lt;a class="wiki_link" href="/cata7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Sulis10]] – 10-tone albitonic scale
&lt;a class="wiki_link" href="/cata11"&gt;Eleven note mega albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Sulis13]] – 13-tone chromatic scale
&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;
== Skwares ==
&lt;br /&gt;
{{Main| Squares }}
&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;
{{See also| No-fives subgroup temperaments #Skwares }}
Subgroup: 2.3.5.19&lt;br /&gt;
 
Commas: 361/360, 513/512&lt;br /&gt;
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~3/2 = 701.746&lt;br /&gt;
* [[Skwares8]] – 8-tone albitonic scale
&lt;br /&gt;
* [[Skwares11]] – 11-tone mega-albitonic scale
Map: [&amp;lt;1 0 15 9], &amp;lt;0 1 -8 -3|]&lt;br /&gt;
* [[Skwares14]] – 14-tone chromatic scale
EDOs: 7, 12, 17, 29, 41, 53, 118, 171&lt;br /&gt;
 
&lt;br /&gt;
== Orwell ==
&lt;a class="wiki_link" href="/nestoria7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{Main| Orwell }}
&lt;a class="wiki_link" href="/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Semicomma family #Orwell }}
&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;
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]
Subgroup 2.3.5.17.19&lt;br /&gt;
 
Commas: 171/170, 256/255, 324/323&lt;br /&gt;
Scales:  
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;schismatic&lt;/a&gt;&lt;br /&gt;
* [[Orwell5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Orwell9]] – 9-tone albitonic scale
POTE generator: ~3/2 = 701.470&lt;br /&gt;
* [[Orwell13]] – 13-tone chromatic scale
&lt;br /&gt;
 
Map: [&amp;lt;1 0 15 -7 9|, &amp;lt;0 1 -8 7 -3|]&lt;br /&gt;
== Magicaltet ==
EDOs: 7, 12, 17, 29, 41, 53, 65&lt;br /&gt;
{{See also| Subgroup temperaments #Magicaltet }}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/photia7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/photia12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Magicaltet7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Magicaltet11]] – 11-tone chromatic scale
&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;
* [[Magicaltet15]] – 15-tone mega-chromatic scale
Subgroup: 2.9.5.7.13&lt;br /&gt;
 
Commas: 225/224, 325/325, 640/637&lt;br /&gt;
== Magic ==
Related temperament: &lt;a class="wiki_link" href="/Schismatic%20family"&gt;Garibaldi&lt;/a&gt;&lt;br /&gt;
{{Main| Magic }}
&lt;br /&gt;
{{See also| Magic family #Magic }}
POTE generator: ~9/8 = 204.090&lt;br /&gt;
 
&lt;br /&gt;
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]
Map: [&amp;lt;1 0 15 25 -8|, &amp;lt;0 1 -4 -7 10|]&lt;br /&gt;
 
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147&lt;br /&gt;
Scales:  
&lt;br /&gt;
* [[Magic7]] – 7-tone haplotonic scale
&lt;a class="wiki_link" href="/baldy6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Magic10]] – 10-tone albitonic scale
&lt;a class="wiki_link" href="/baldy11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Magic13]] – 13-tone chromatic scale
&lt;a class="wiki_link" href="/baldy17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Magic16]] – 16-tone mega-chromatic scale
&lt;br /&gt;
* [[Magic19]] – 19-tone mega-chromatic scale
&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;
 
Subgroup: 2.9.5.7.11&lt;br /&gt;
== Kiribati ==
Commas: 81/80, 99/98, 126/125&lt;br /&gt;
{{See also| Subgroup temperaments #Kiribati }}
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;meantone&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
POTE generator: ~9/8 = 193.937&lt;br /&gt;
* [[Kiribati13]] – 13-tone chromatic scale
&lt;br /&gt;
* [[Kiribati14]] – 14-tone chromatic scale
Map: [&amp;lt;1 0 -4 -13 -25|, &amp;lt;0 1 2 5 9|]&lt;br /&gt;
 
EDOs: 6, 7, 13, 19, 25, 31, 99&lt;br /&gt;
== Score ==
&lt;br /&gt;
{{See also| No-threes subgroup temperaments #Score }}
&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;
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]
&lt;a class="wiki_link" href="/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
&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;
* [[Score5]] – 5-tone haplotonic scale
Subgroup: 2.9.5.7.11&lt;br /&gt;
* [[Score7]] – 7-tone albitonic scale
Commas: 45/44, 56/55, 81/80&lt;br /&gt;
* [[Score9]] – 9-tone mega-albitonic scale
Related temperament: &lt;a class="wiki_link" href="/Meantone%20family"&gt;flattone&lt;/a&gt;&lt;br /&gt;
* [[Score11]] – 11-tone chromatic scale
&lt;br /&gt;
 
POTE generator: ~9/8 = 192.500&lt;br /&gt;
== Sensi ==
&lt;br /&gt;
{{Main| Sensi }}
Map: [&amp;lt;1 0 -4 -13 -6|, &amp;lt;0 1 2 5 3|]&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
EDOs: 6, 7, 13, 19, 25, 31, 56, 81&lt;br /&gt;
 
&lt;br /&gt;
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]
&lt;a class="wiki_link" href="/leantone6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/leantone7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
Scales:  
&lt;a class="wiki_link" href="/leantone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
&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;
* [[Sensi11]] – 11-tone mega-albitonic scale
Subgroup: 2.5.7.11&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
Commas: 56/55, 128/125&lt;br /&gt;
 
Related temperament: &lt;a class="wiki_link" href="/Augmented%20family"&gt;augmented&lt;/a&gt;&lt;br /&gt;
=== Sensation ===
&lt;br /&gt;
{{Main| Sensi }}
POTE generator: ~8/7&lt;br /&gt;
{{See also| Sensipent family #Sensi }}
&lt;br /&gt;
 
Map: [&amp;lt;3 7 9 11|, &amp;lt;0 0 -1 -1|]&lt;br /&gt;
Scales:  
EDOs: 3, 6, 9, 15, 21&lt;br /&gt;
* [[Sensi5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Sensi8]] – 8-tone albitonic scale
&lt;a class="wiki_link" href="/augment6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
* [[Sensi11]] – 11-tone mega-albitonic scale
&lt;a class="wiki_link" href="/augment9"&gt;Nine note albitonic scale&lt;/a&gt;&lt;br /&gt;
* [[Sensi19]] – 19-tone chromatic scale
&lt;a class="wiki_link" href="/augment12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;br /&gt;
== Meantone ==
&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;
{{Main| Meantone }}
Subgroup: 2.5.7.13&lt;br /&gt;
{{See also| Meantone family #Meantone }}
Commas: 640/637, 10985/10976&lt;br /&gt;
 
&lt;br /&gt;
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]
POTE generator: ~16/13 = 357.002&lt;br /&gt;
 
&lt;br /&gt;
Scales:  
Map: [&amp;lt;1 5 4 4|, &amp;lt;0 -9 -4 -1|]&lt;br /&gt;
* [[Meantone5]] – 5-tone haplotonic scale
EDOs: 7, 10, 17, 27, 37, 84, 121, 400&lt;br /&gt;
* [[Meantone7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Meantone12]] – 12-tone chromatic scale
&lt;a class="wiki_link" href="/huntington7"&gt;Seven note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/huntington10"&gt;Ten note albitonic scale&lt;/a&gt;&lt;br /&gt;
== Mohaha ==
&lt;a class="wiki_link" href="/huntington17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Rastmic clan #Mohaha }}
&lt;br /&gt;
 
&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;
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]
Subgroup: 2.5.7.11.13&lt;br /&gt;
 
Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
Scales:
Related temperament: &lt;a class="wiki_link" href="/Wuerschmidt%20family"&gt;Hemiwuerschmidt&lt;/a&gt;&lt;br /&gt;
* [[Mohaha7]] – 7-tone albitonic scale
&lt;br /&gt;
* [[Mohaha10]] – 10-tone chromatic scale
POTE generator: ~28/25 = 194.594&lt;br /&gt;
 
&lt;br /&gt;
Music:  
Map: [&amp;lt;1 0 -3 -7 -13|, &amp;lt;0 2 5 9 -8|]&lt;br /&gt;
; [[Billy Stiltner]]
EDOs: 6, 7, 13, 19, 25, 31, 37&lt;br /&gt;
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}
&lt;br /&gt;
 
&lt;a class="wiki_link" href="/roulette6"&gt;Six note haplotonic scale&lt;/a&gt;&lt;br /&gt;
=== Mohoho ===
&lt;a class="wiki_link" href="/roulette7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
{{See also| Rastmic clan #Mohoho }}
&lt;a class="wiki_link" href="/roulette13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/roulette19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
== Joan ==
&lt;br /&gt;
{{See also| Subgroup temperaments #Joan }}
&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;
 
Subgroup: 2.7.11.13&lt;br /&gt;
Scales:
Commas: 343/338, 847/832&lt;br /&gt;
* [[Joan5]] – 5-tone haplotonic scale
&lt;br /&gt;
* [[Joan7]] – 7-tone albitonic scale
POTE generator: ~11/8 = 540.099&lt;br /&gt;
* [[Joan9]] – 9-tone mega-albitonic scale
&lt;br /&gt;
* [[Joan11]] – 11-tone chromatic scale
Map: [&amp;lt;1 1 3 1|, &amp;lt;0 4 1 6|]&lt;br /&gt;
 
EDOs: 5, 7, 9, 11, 20&lt;br /&gt;
== Tutone ==
&lt;br /&gt;
{{See also| Hemimean clan #Tutone }}
&lt;a class="wiki_link" href="/score5"&gt;Five note haplotonic scale&lt;/a&gt;&lt;br /&gt;
 
&lt;a class="wiki_link" href="/score7"&gt;Seven note albitonic scale&lt;/a&gt;&lt;br /&gt;
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]
&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:  
* [[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| Quasisuper }}
{{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| Quasisuper }}
{{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| Semaphoresmic clan #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
 
{{Navbox scale gallery}}
[[Category:Tempered scales|*]]
[[Category:Listen]]
[[Category:Rank 2]]
{{Todo| cleanup }}