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<div style="float:right">__TOC__</div>
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.


== Definitions ==
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.
By a ''chromatic pair'' is meant a pair of [[MOSScales|MOS]] in some rank two temperament (which may often be a [[Just_intonation_subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, the smaller scale of the pair is called "albitonic" from the Latin word for "white". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing [[Tp_tuning#T2 tuning|RMS error]], which is an appropriate error measure for subgroups as well as full p-limit groups.


== Terrain ==
== Terrain ==
Subgroup: 2.9/5.9/7
{{See also| Subgroup temperaments #Terrain }}


Commas: 250047/250000
[[File:terrain_3558edo.png|right|alt=terrain_3558edo.png|Terrain in 3558edo]]


Sval name: 6&amp;21
Scales:  
* [[Terrain9]] – 9-tone albitonic scale
* [[Terrain15]] – 15-tone chromatic scale


Related temperament: [[Minortonic_family#Domain|domain]]
; Music
 
* ''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]
[[Tp_tuning|POT2 generator]]: ~10/9 = 182.461
 
[[Gencom|Gencom]]: [63/50 10/9; 250047/250000]
 
Gencom mapping: [&lt;3 10/9 -7/9 2/9|, &lt;0 -2/3 -1/3 2/3|]
 
Mapping: [&lt;3 0 -4|, &lt;0 1 2|]
 
EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.00844 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.
 
[[File:terrain_3558edo.png|alt=terrain_3558edo.png|terrain_3558edo.png]]
 
[[terrain9|Nine note albitonic scale]]
 
[[terrain15|Fifteen note chromatic scale]]
 
[http://chrisvaisvil.com/5-5-1-mode-of-33-equal-with-video/ 5 5 1 mode of 33 equal (with video)] [http://micro.soonlabel.com/33edo/20130827_551of33.mp3 play] by [[Chris_Vaisvil|Chris Vaisvil]]


== Petrtri ==
== Petrtri ==
Subgroup: 2.11/5.13/5
{{See also| Subgroup temperaments #Petrtri }}


Comma: 2200/2197
[[File:petrtri_385edo.png|right|alt=petrtri_385edo.png|Petrtri in 385edo]]


Svalname: 3&amp;5
Scales:  
 
* [[Petrtri5]] – 5-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~13/10 = 455.012
* [[Petrtri8]] – 8-tone albitonic scale
 
* [[Petrtri13]] – 13-tone chromatic scale
[[Gencom|Gencom]]: [2 13/10; 2200/2197]
 
Gencom mapping: [&lt;1 0 -1/3 0 -1/3 2/3|, &lt;0 0 -4/3 0 5/3 -1/3|]
 
Mapping: [&lt;1 0 1|, &lt;0 3 1|]
 
EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.0749 cents
 
[[File:petrtri_385edo.png|alt=petrtri_385edo.png|petrtri_385edo.png]]
 
[[petrtri5|Five note haplotonic scale]]
 
[[petrtri8|Eight note albitonic scale]]
 
[[petrtri13|Thirteen note chromatic scale]]


== Barton ==
== Barton ==
Subgroup: 2.5.11.13
{{Redirect|Barton|[[Jacob Barton]]'s scale|Barton (scale)}}
 
{{See also| The Jacobins #Barton }}
Commas: 2200/2197, 6656/6655
 
Svalname: 11&amp;13


[[Tp_tuning|POT2 generator]]: ~11/8 = 551.699
Scales:
 
* [[Barton5]] – 5-tone haplotonic scale
Gencom: [2 11/8; 2200/2197 6656/6655]
* [[Barton7]] – 7-tone albitonic scale
 
* [[Barton9]] – 9-tone mega-albitonic scale
Gencom mapping: [&lt;1 0 6 0 3 6|, &lt;0 0 -8 0 1 -5|]
* [[Barton11]] – 11-tone chromatic scale
 
* [[Barton13]] – 13-tone mega-chromatic scale
Mapping: [&lt;1 6 3 6|, &lt;0 -8 1 -5|]
 
EDOs: 11, 13, 24, 37, 50, 87, 298, 385, 472, 559, 1590cd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.0822 cents
 
[[barton5|Five note haplotonic scale]]
 
[[barton7|Seven note albitonic scale]]
 
[[barton9|Nine note mega albitonic scale]]
 
[[barton11|Eleven note chromatic scale]]
 
[[barton13|Thirteen note mega chromatic scale]]
 
== Voltage ==
Subgroup: 2.7.13
 
Comma: 28672/28561
 
Sval name: 3&amp;7
 
[[Tp_tuning|POT2 generator]]: ~16/13 = 357.677
 
[[TOP_tuning|POTT generator]]: ~16/13 = 1200 - 300 log₂(7) (357.794)
 
Gencom: [2, 16/13; 28672/28561]
 
Gencom mapping: [&lt;1 0 0 4 0 4|, &lt;0 0 0 -4 0 -1|]
 
Mapping: [&lt;1 4 4|, &lt;0 -4 -1|]
 
EDOS: 3, 7, 10, 27, 37, 47, 57, 104
 
RMS error: 0.1423


== Tridec ==
== Tridec ==
Subgroup: 2.7/5.11/5.13/5
{{See also| Subgroup temperaments #Tridec }}
 
Commas: 847/845, 1001/1000
 
Sval name: 5&amp;8
 
[[Tp_tuning|POT2 generator]]: ~13/10 = 454.556
 
[[Gencom|Gencom]]: [2 13/10; 847/845 1001/1000]


Gencom mapping: [&lt;1 0 -3/4 5/4 -3/4 1/4|, &lt;0 0 0 -4 3 1|]
[[File:tridec_235edo.png|right|alt=tridec_235edo.png|Tridec in 235edo]]


Mapping: [&lt;1 2 0 1|, &lt;0 -4 3 1|]
Scales:  
 
* [[Tridec8]] – 8-tone albitonic scale
EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc
* [[Tridec13]] – 13-tone chromatic scale
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.1613 cents
 
[[File:tridec_235edo.png|alt=tridec_235edo.png|tridec_235edo.png]]
 
[[Tridec8|Eight note albitonic scale]]
 
[[Tridec13|Thirteen note chromatic scale]]


== Nestoria ==
== Nestoria ==
Subgroup: 2.3.5.19
{{See also| Schismatic family #Nestoria (2.3.5.19)}}
 
Commas: 361/360, 513/512
 
Sval name: 12&amp;29
 
Related temperament: [[Schismatic_family|schismatic]]
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 701.746
 
[[Gencom|Gencom]]: [2 3/2; 361/360 513/512]
 
Gencom mapping: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 0 -3|]
 
Mapping: [&lt;1 0 15 9|, &lt;0 1 -8 -3|]
 
EDOs: 7, 12, 17, 29, 41, 53, 118, 171, 460d, 631d
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.1763 cents
 
[[File:nestoria_171edo.png|alt=nestoria_171edo.png|nestoria_171edo.png]]


[[nestoria7|Seven note albitonic scale]]
[[File:nestoria_171edo.png|right|alt=nestoria_171edo.png|Nestoria in 171edo]]


[[nestoria12|Twelve note chromatic scale]]
Scales:
 
* [[Nestoria7]] – 7-tone albitonic scale
[[nestoria17|Seventeen note mega chromatic scale]]
* [[Nestoria12]] – 12-tone chromatic scale
* [[Nestoria17]] – 17-tone mega chromatic scale


== Orgone ==
== Orgone ==
Subgroup: 2.7.11
{{Main| Orgone }}
 
{{See also| Orgonia #Orgone }}
Commas: 65536/65219
 
Svals: 4&amp;7
 
Related temperament: [[Gamelismic_clan#superkleismic|superkleismic]]
 
[[Tp_tuning|POT2 generator]]: ~77/64 = 323.372
 
[[Gencom|Gencom]]: [2 77/64; 65536/65219]
 
Gencom mapping: [&lt;1 0 0 2 4|, &lt;0 0 0 3 -2|]
 
Mapping: [&lt;1 2 4|, &lt;0 3 -2|]
 
EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308, 475bc, 783bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.1888 cents
 
[[File:orgone_308edo.jpg|alt=orgone_308edo.jpg|orgone_308edo.jpg]]
 
[[orgone7|Seven note albitonic scale]]


[[orgone11|Eleven note chromatic scale]]
[[File:orgone_308edo.jpg|right|alt=orgone_308edo.jpg|Orgone in 308edo]]


[[orgone15|Fifteen note mega chromatic scale]]
Scales:
* [[Orgone7]] – 7-tone albitonic scale
* [[Orgone11]] – 11-tone chromatic scale
* [[Orgone15]] – 15-tone mega-chromatic scale


== Marveltwintri ==
== Marveltwintri ==
Subgroup: 2.5/3.13/9
{{See also| Subgroup temperaments #Marveltwintri }}
 
Comma: 325/324
 
Svalname: 3&amp;4
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 317.139
 
[[Gencom|Gencom]]: [2 6/5; 325/324]
 
Gencom mapping: [&lt;1 -1/6 5/6 0 0 -1/3|, &lt;0 -1/2 -3/2 0 0 1|]
 
Mapping: [&lt;1 0 2|, &lt;0 1 -2|]
 
EDOs: 11, 15, 19, 34, 53, 87, 140, 185, 219, 253, 287b, 321b
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.2444 cents
 
[[File:marveltwintri_321edo.png|alt=marveltwintri_321edo.png|marveltwintri_321edo.png]]


[[marveltwintri7|Seven note albitonic scale]]
[[File:marveltwintri_321edo.png|right|alt=marveltwintri_321edo.png|Marveltwintri in 321edo]]


[[marveltwintri11|Eleven note chromatic scale]]
Scales:
 
* [[Marveltwintri7]] – 7-tone albitonic scale
[[marveltwintri15|Fifteen note mega chromatic scale]]
* [[Marveltwintri11]] – 11-tone chromatic scale
* [[Marveltwintri15]] – 15-tone mega-chromatic scale


== Cata ==
== Cata ==
Subgroup: 2.3.5.13
{{Main| Kleismic }}
 
{{See also| Kleismic family #Cata }}
Commas: 325/324, 625/624
 
Sval name: 15&amp;19
 
Related temperament: [[Kleismic_family|catakleismic]]
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 317.076
 
[[Gencom|Gencom]]: [2 6/5; 325/324 625/624]
 
Gencom mapping: [&lt;1 0 1 0 0 0|, &lt;0 6 5 0 0 14|]
 
Mapping: [&lt;1 0 1 0|, &lt;0 6 5 14|]
 
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.2450 cents
 
[[File:cata_246edo.jpg|alt=cata_246edo.jpg|cata_246edo.jpg]]
 
[[cata7|Seven note albitonic scale]]


[[cata11|Eleven note mega albitonic scale]]
[[File:cata_246edo.jpg|right|alt=cata_246edo.jpg|Cata in 246edo]]


[[cata15|Fifteen note chromatic scale]]
Scales:
 
* [[Cata7]] – 7-tone albitonic scale
[[cata19|Nineteen note mega chromatic scale]]
* [[Cata11]] – 11-tone mega-albitonic scale
* [[Cata15]] – 15-tone chromatic scale
* [[Cata19]] – 19-tone mega-chromatic scale


== Bridgetown ==
== Bridgetown ==
Subgroup: 2.3.11/5.13/5
{{See also| Subgroup temperaments #Bridgetown }}
 
Commas: 352/351, 676/675
 
Sval name: 5&amp;24
 
Related temperaments: [[Chromatic_pairs#Haumea|haumea]], [[The_Archipelago|barbados]]
 
[[Tp_tuning|POT2 generator]]: ~15/13 = 248.399


[[Gencom|Gencom]]: [2 15/13; 352/351 676/675]
[[File:bridgetown_29edo.png|right|alt=bridgetown_29edo.png|Bridgetown in 29edo]]


Gencom mapping: [&lt;1 2 -5/3 0 4/3 1/3|, &lt;0 -2 4 0 -5 1|]
Scales:  
* [[Bridgetown9]] – 9-tone albitonic scale
* [[Bridgetown14]] – 14-tone chromatic scale


Mapping: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]
; Music
 
* [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]]
EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314
* ''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
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.2513 cents
 
[[File:bridgetown_29edo.png|alt=bridgetown_29edo.png|bridgetown_29edo.png]]
 
[[bridgetown9|Nine note albitonic scale]]
 
[[bridgetown14|Fourteen note chromatic scale]]
 
=== Music ===
<span style=""><span style="">[http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3 Paint in the Water 29]</span></span> by [[Igliashon_Jones|Igliashon Jones]]
 
<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3 Route 14 in Bridgetown]</span></span> by [[Chris_Vaisvil|Chris Vaisvil]]


== Haumea ==
== Haumea ==
Subgroup: 2.3.7/5.11/5.13/5
{{See also| Subgroup temperaments #Haumea }}
 
Commas: 352/351, 676/675, 847/845


Related temperaments: [[Chromatic_pairs#Bridgetown|bridgetown]], [[Hemifamity_family#Namaka|namaka]], hemigari, barbados, parizekmic
Scales:  
 
* [[Haumea5]] – 5-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~15/13 = 248.491
* [[Haumea9]] – 9-tone albitonic scale
 
* [[Haumea14]] – 14-tone chromatic scale
[[Gencom|Gencom]]: [2 15/13; 352/351 676/675 847/845]
* [[Haumea19]] – 19-tone mega-chromatic scale
 
Gencom mapping: [&lt;1 2 -3/4 -11/4 9/4 5/4|, &lt;0 -2 0 12 -9 -3|]
 
Mapping: [&lt;1 0 10 -6 -1|, &lt;0 2 -12 9 3|]
 
EDOs: 24, 29, 111, 140, 169, 198, 565d, 763bd, 961bd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.2668 cents
 
[[haumea5|Five note haplotonic scale]]
 
[[haumea9|Nine note albitonic scale]]
 
[[haumea14|Fourteen note chromatic scale]]
 
[[haumea19|Nineteen note mega chromatic scale]]


== Neutral ==
== Neutral ==
Subgroup: 2.3.11
{{See also| Rastmic clan #Neutral }}
 
Commas: 243/242
 
Svalname: 7&amp;17


[[Tp_tuning|POT2 generator]]: ~11/9 = 350.525
[[File:neutral_380edo.png|right|alt=neutral_380edo.png|Neutral in 380edo]]


[[Gencom|Gencom]]: [2 11/9; 243/242]
Scales:
* [[Neutral7]] – 7-tone albitonic scale
* [[Neutral10]] – 10-tone chromatic scale
* [[Neutral17]] – 17-tone mega-chromatic scale


Gencom mapping: [&lt;1 1 0 0 2|, &lt;0 2 0 0 5|]
; Music
 
* [https://soundcloud.com/jdfreivald/mo-happy-happy ''Mo - Happy - Happy''] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by [[Jake Freivald]] in Neutral[7], 24edo tuning
Mapping: [&lt;1 1 2|, &lt;0 2 5|]
 
EDOs: 7, 17, 24, 65, 89, 202, 291, 380
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3021 cents
 
[[File:neutral_380edo.png|alt=neutral_380edo.png|neutral_380edo.png]]
 
[[neutral7|Seven note albitonic scale]]
 
[[neutral10|Ten note chromatic scale]]
 
[[neutral17|Seventeen note mega chromatic scale]]
 
=== Music ===
[https://soundcloud.com/jdfreivald/mo-happy-happy Mo - Happy - Happy] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by Jake Freivald in Neutral[7], 24et tuning


== Slendric ==
== Slendric ==
Line 346: Line 127:
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''


Subgroup: 2.3.7
[[File:slendric_190edo.jpg|right|alt=slendric_190edo.jpg|Slendric in 190edo]]
 
Comma list: 1029/1024
 
Sval name: 5&amp;21
 
[[Tp tuning|POT2 generator]]: ~8/7 = 233.688
 
[[Gencom]]: [2 8/7; 1029/1024]
 
Gencom mapping: [{{val| 1 1 0 3 }}, {{val| 0 3 0 -1 }}]
 
Mapping: [{{val| 1 1 3 }}, {{val| 0 3 -1 }}]
 
EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190
 
[[Tp tuning #T2 tuning|RMS error]]: 0.3202 cents
 
[[File:slendric_190edo.jpg|alt=slendric_190edo.jpg|slendric_190edo.jpg]]
 
[[slendric5|Five note haplotonic scale]]
 
[[slendric6|Six note haplotonic scale]]
 
[[slendric11|Eleven note albitonic scale]]


[[slendric16|Sixteen note chromatic scale]]
Scales:
* [[Slendric5]] – 5-tone haplotonic scale
* [[Slendric6]] – 6-tone haplotonic scale
* [[Slendric11]] – 11-tone albitonic scale
* [[Slendric16]] – 16-tone chromatic scale


== Huntington ==
== Huntington ==
Subgroup: 2.5.7.13
{{See also| No-threes subgroup temperaments #Huntington }}
 
Commas: 640/637, 10985/10976
 
Sval name: 10&amp;27
 
[[Tp_tuning|POT2 generator]]: ~16/13 = 357.002
 
[[Gencom|Gencom]]: [2 16/13; 640/637 10985/10976]


Gencom mapping: [&lt;1 0 5 4 0 4|, &lt;0 0 -9 -4 0 -1|]
[[File:huntington_400edo.jpg|right|alt=huntington_400edo.jpg|Huntington in 400edo]]


Mapping: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]
Scales:  
 
* [[Huntington7]] – 7-tone haplotonic scale
EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd
* [[Huntington10]] – 10-tone albitonic scale
 
* [[Huntington17]] – 17-tone chromatic scale
[[Tp_tuning#T2 tuning|RMS error]]: 0.3452 cents
 
[[File:huntington_400edo.jpg|alt=huntington_400edo.jpg|huntington_400edo.jpg]]
 
[[huntington7|Seven note haplotonic scale]]
 
[[huntington10|Ten note albitonic scale]]
 
[[huntington17|Seventeen note chromatic scale]]


== Tobago ==
== Tobago ==
Subgroup: 2.3.11.13/5
{{See also| Subgroup temperaments #Tobago }}
 
Commas: 243/242, 676/675
 
Sval name: 10&amp;14
 
Related temperaments: [[Chromatic_pairs#Neutral|neutral]], [[The_Archipelago|barbados]]
 
[[Tp_tuning|POT2 generator]]: ~15/13 = 249.312
 
[[Gencom|Gencom]]: [55/39 15/13; 243/242 676/675]
 
Gencom mapping: [&lt;2 4 -2 0 9 2|, &lt;0 -2 3/2 0 -5 -3/2|]
 
Mapping: [&lt;2 0 -1 -2], &lt;0 2 5 3]]
 
EDOs: 10, 14, 24, 58, 82, 130
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3533 cents
 
[[tobago6|Six note haplotonic scale]]
 
[[tobago10|Ten note albitonic scale]]
 
[[tobago14|Fourteen note chromatic scale]]


[[tobago24|Twentyfour note quatertone scale]]
Scales:
* [[Tobago6]] – 6-tone haplotonic scale
* [[Tobago10]] – 10-tone albitonic scale
* [[Tobago14]] – 14-tone chromatic scale
* [[Tobago24]] – 24-tone quatertone scale


== Pepperoni ==
== Pepperoni ==
Subgroup: 2.3.11/7.13/7
{{See also| Parapyth }}
 
{{See also| Subgroup temperaments #Pepperoni }}
Commas: 352/351, 364/363
 
Sval name: 5&amp;12
 
Related temperament: The [[Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 703.856
 
[[Gencom|Gencom]]: [2 3/2; 352/351 364/363]
 
Gencom mapping: [&lt;1 1 0 -8/3 1/3 7/3|, &lt;0 1 0 11/3 -1/3 -10/3|]
 
Mapping: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]
 
EDOs: 5, 7, 12, 17, 29, 46, 58, 75, 80, 87, 104, 121, 167, 196, 208, 271, 595bcd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3789 cents


[[File:pepperoni_271edo.png|alt=pepperoni_271edo.png|pepperoni_271edo.png]]
[[File:pepperoni_271edo.png|right|alt=pepperoni_271edo.png|Pepperoni in 271edo]]


[[pepperoni7|Seven note albitonic scale]]
Scales:
 
* [[Pepperoni7]] – 7-tone albitonic scale
[[pepperoni12|Twelve note chromatic scale]]
* [[Pepperoni12]] – 12-tone chromatic scale


== Wizz ==
== Wizz ==
Subgroup: 2.5.11
{{See also| No-threes subgroup temperaments #Wizz }}
 
Commas: 15625/15488
 
Sval name: 6&amp;16
 
Related temperaments: [[Marvel_temperaments#Wizard-11-limit|wizard]]
 
Generator: ~5/4 = 383.768
 
[[Gencom|Gencom]]: [125/88 5/4; 15625/15488]
 
Gencom mapping: [&lt;2 0 4 0 5| &lt;0 0 1 0 3|]
 
Mapping: [&lt;2 0 -7|, &lt;0 1 3|]
 
EDOs: 6, 16, 22, 28, 50, 122, 172, 222
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.3997
 
[[wizz6|Six note haplotonic scale]]
 
[[wizz10|Ten note albitonic scale]]


[[wizz16|Sixteen note chromatic scale]]
Scales:
* [[Wizz6]] – 6-tone haplotonic scale
* [[Wizz10]] – 10-tone albitonic scale
* [[Wizz16]] – 16-tone chromatic scale


== Bossier ==
== Bossier ==
Subgroup: 2.7.11.13
{{See also| No-threes subgroup temperaments #Bossier }}
 
Commas: 1573/1568, 15488/15379
 
Sval name: 3&amp;17
 
[[Tp_tuning|POT2 generator]]: ~14/11 = 421.309
 
[[Gencom|Gencom]]: [2 14/11; 1573/1568 15488/15379]
 
Gencom mapping: [&lt;1 0 0 0 1 3|, &lt;0 0 0 8 7 2|]
 
Mapping: [&lt;1 0 1 3|, &lt;0 8 7 2|]
 
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4043 cents
 
[[File:bossier_225edo.jpg|alt=bossier_225edo.jpg|bossier_225edo.jpg]]
 
[[bossier8|Eight note albitonic scale]]
 
[[bossier11|Eleven note chromatic scale]]
 
[[bossier14|Fourteen note mega chromatic scale]]
 
== Penta ==
Subgroup: 2.9.7.11
 
Commas: 896/891, 26411/26244


Svalname: 8&amp;11
[[File:bossier_225edo.jpg|right|alt=bossier_225edo.jpg|Bossier in 225edo]]


[[Tp_tuning|POT2 generator]]: ~9/7 = 438.465
Scales:
* [[Bossier8]] – 8-tone albitonic scale
* [[Bossier11]] – 11-tone chromatic scale
* [[Bossier14]] – 14-tone mega-chromatic scale


[[Gencom|Gencom]]: [2 9/7; 896/891 26411/26244]
== Penta a.k.a. mechanism ==
{{See also| Subgroup temperaments #Penta a.k.a. mechanism }}


Gencom mapping: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]
Scales:  
 
* [[Penta5]] – 5-tone haplotonic scale
Mapping: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]
* [[Penta8]] – 8-tone albitonic scale
 
* [[Penta11]] – 11-tone chromatic scale
EDOs: 8, 11, 30, 41, 52
* [[Penta19]] – 19-tone mega-chromatic scale
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4262 cents
 
[[penta5|Five note haplotonic scale]]
 
[[penta8|Eight note albitonic scale]]
 
[[penta11|Eleven note chromatic scale]]
 
[[penta19|Nineteen note mega chromatic scale]]


== Bluebirds ==
== Bluebirds ==
Subgroup: 2.11.13
{{See also| No-threes subgroup temperaments #Bluebirds }}
 
Comma: 265837/262144


[[Tp_tuning|POT2 generator]]: ~143/128 = 182.368
Scales:  
 
* [[Bluebirds6]] – 6-tone haplotonic scale
Gencom: [2 143/128; 265837/262144]
* [[Bluebirds7]] – 7-tone albitonic scale
 
* [[Bluebirds13]] – 13-tone chromatic scale
Gencom mapping: [&lt;1 0 0 0 3 4|, &lt;0 0 0 0 3 -2|]
 
Mapping: [&lt;1 0 6|, &lt;0 3 -2|]
 
EDOs: 6, 7, 13, 33, 46, 79, 125c, 204bc, 329bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4444 cents
 
[[bluebirds6|Six note haplotonic scale]]
 
[[bluebirds7|Seven note albitonic scale]]
 
[[bluebirds13|Thirteen note chromatic scale]]


== Marveltri ==
== Marveltri ==
Subgroup: 2.5.9/7
{{See also| Subgroup temperaments #Marveltri }}
 
Comma: 225/224
 
Sval name: 3&amp;13
 
Related temperaments: marvel, 22&amp;47, magic
 
[[Tp_tuning|POT2 generator]]: ~5/4 = 383.638


[[Gencom|Gencom]]: [2 5/4; 225/224]
Scales:
 
* [[Marveltri7]] – 7-tone albitonic scale
Gencom mapping: [&lt;1 2/5 2 -1/5|, &lt;0 -4/5 1 2/5|]
* [[Marveltri10]] – 10-tone chromatic scale
 
* [[Marveltri13]] – 13-tone mega-chromatic scale
Mapping: [&lt;1 0 5|, &lt;0 1 -2|]
 
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.4801 cents
 
[[marveltri7|Seven note albitonic scale]]
 
[[marveltri10|Ten note chromatic scale]]
 
[[marveltri13|Thirteen note mega chromatic scale]]


== Edson ==
== Edson ==
Subgroup: 2.3.7/5.11/5.13/5
{{See also| Subgroup temperaments #Edson }}
 
Commas: 196/195, 352/351, 364/363
 
Related temperaments: [[Hemifamity_family#Pele|pele]], cassandra
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 703.414
 
[[Gencom|Gencom]]: [2 3/2; 196/195, 352/351, 364/363]
 
Gencom mapping: [&lt;1 1 -5 -1 2 4|, &lt;0 1 29/4 5/4 -11/4 -23/4|]
 
Mapping: [&lt;1 0 10 17 22|, &lt;0 1 -6 -10 -13|]
 
EDOs: 12, 17, 29, 621bcde
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5102 cents
 
[[edson5|Five note haplotonic scale]]
 
[[edson7|Seven note albitonic scale]]
 
[[edson12|Twelve note chromatic scale]]


[[edson17|Seventeen note mega chromatic scale]]
Scales:
* [[Edson5]] – 5-tone haplotonic scale
* [[Edson7]] – 7-tone albitonic scale
* [[Edson12]] – 12-tone chromatic scale
* [[Edson17]] – 17-tone mega-chromatic scale


== Photia ==
== Photia ==
Subgroup: 2.3.5.17.19
{{See also| Schismatic family #Photia (2.3.5.17) }}
 
Commas: 171/170, 256/255, 324/323
 
Sval name: 12&amp;41
 
Related temperament: [[Schismatic_family|schismatic]]
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 701.470
 
[[Gencom|Gencom]]: [2 3/2; 171/170 256/255 324/323]
 
Gencom mapping: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]


Mapping: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]
[[File:photia_65edo.png|right|alt=photia_65edo.png|Photia in 65edo]]


EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d
Scales:  
* [[Photia7]] – 7-tone albitonic scale
* [[Photia12]] – 12-tone chromatic scale


[[Tp_tuning#T2 tuning|RMS error]]: 0.5374 cents
== Shoe a.k.a. llywelyn ==
{{See also| Llywelynsmic clan #Llywelyn a.k.a. shoe }}


[[File:photia_65edo.png|alt=photia_65edo.png|photia_65edo.png]]
[[File:shoe_37edo.jpg|right|alt=shoe_37edo.jpg|Shoe in 37edo]]


[[photia7|Seven note albitonic scale]]
Scales:
 
* [[Shoe5]] – 5-tone mini-haplotonic scale
[[photia12|Twelve note chromatic scale]]
* [[Shoe6]] – 6-tone haplotonic scale
 
* [[Shoe11]] – 11-tone albitonic scale
== Shoe ==
* [[Shoe16]] – 16-tone chromatic scale
Subgroup: 2.5.7.11.13
 
Commas: 176/175, 640/637, 847/845
 
Sval name: 16&amp;21
 
[[Tp_tuning|POT2 generator]]: ~8/7 = 227.108
 
[[Gencom|Gencom]]: [2 8/7; 176/175 640/637 847/845]
 
Gencom mapping: [&lt;1 0 1 3 1 2|, &lt;0 0 7 -1 13 9|]
 
Mapping: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]
 
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5433 cents
 
[[File:shoe_37edo.jpg|alt=shoe_37edo.jpg|shoe_37edo.jpg]]
 
[[shoe5|shoe5]] - five note mini [[haplotonic_scale|haplotonic scale]]
 
[[shoe6|shoe6]] - six note [[haplotonic_scale|haplotonic scale]]
 
[[shoe11|shoe11]] - eleven note note [[albitonic_scale|albitonic scale]]
 
[[shoe16|shoe16]] - sixteen note [[chromatic_scale|chromatic scale]]


== Roulette ==
== Roulette ==
Subgroup: 2.5.7.11.13
{{See also | Hemimean clan #Roulette }}
 
Commas: 176/175, 1375/1372, 640/637
 
Sval name: 6&amp;25
 
Related temperament: [[Würschmidt_family|Hemiwürschmidt]]
 
[[Tp_tuning|POT2 generator]]: ~28/25 = 194.594
 
[[Gencom|Gencom]]: [2 28/25; 176/175 1375/1372 640/637]
 
Gencom mapping: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]
 
Mapping: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]
 
EDOs: 6, 7, 13, 19, 25, 31, 37
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5567 cents
 
[[File:roulette_37edo.jpg|alt=roulette_37edo.jpg|roulette_37edo.jpg]]
 
[[roulette6|roulette6]] - six note [[haplotonic_scale|haplotonic scale]]
 
[[roulette7|roulette7]] - seven note [[albitonic_scale|albitonic scale]]


[[roulette13|roulette13]] - thirteen note [[chromatic_scale|chromatic scale]]
[[File:roulette_37edo.jpg|right|alt=roulette_37edo.jpg|Roulette in 37edo]]


[[roulette19|roulette19]] - nineteen note [[mega_chromatic_scale|mega chromatic scale]]
Scales:
* [[Roulette6]] – 6-tone haplotonic scale
* [[Roulette7]] – 7-tone albitonic scale
* [[Roulette13]] – 13-tone chromatic scale
* [[Roulette19]] – 19-tone mega-chromatic scale


== Silver ==
== Silver ==
Subgroup: 2.5.7.13.17
{{See also | No-threes subgroup temperaments #Silver }}
 
Commas: 170/169, 640/637, 5525/5488
 
Sval name: 10&amp;27
 
[[Tp_tuning|POT2 generator]]: ~13/8 = 842.711
 
[[Gencom|Gencom]]: [2 13/8; 170/169 640/637 5525/5488]
 
Gencom mapping: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]
 
Mapping: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]
 
EDOs: 7, 10, 17, 27, 37, [[47edo|47]], 84, 131, 178e, 309cde, [[487edo|487bcdee]]
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5886 cents
 
[[File:silver_487edo.jpg|alt=silver_487edo.jpg|silver_487edo.jpg]]


[[silver7|silver7]] -seven note [[haplotonic_scale|haplotonic scale]]
[[File:silver_487edo.jpg|right|alt=silver_487edo.jpg|Silver in 487edo]]


[[silver10|silver10]] - ten note [[albitonic_scale|albitonic scale]]
Scales:
 
* [[Silver7]] – 7-tone haplotonic scale
[[silver17|silver17]] - seventeen note [[chromatic_scale|chromatic scale]]
* [[Silver10]] – 10-tone albitonic scale
* [[Silver17]] – 17-tone chromatic scale


== Baldy ==
== Baldy ==
Subgroup: 2.9.5.7.13
{{See also| Subgroup temperaments #Baldy }}
 
Commas: 225/224, 325/324, 640/637
 
Sval name: 6&amp;35
 
Related temperament: [[Schismatic_family|Garibaldi]]
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 204.090
 
[[Gencom|Gencom]]: [2 9/8; 225/224 325/324 640/637]
 
Gencom mapping: [&lt;1 3/2 3 4 0 2|, &lt;0 1/2 -4 -7 0 10|]
 
Mapping: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]
 
EDOs: 6, 11, 17, 23, 29, 35, 41, [[47edo|47]], 100, [[147edo|147]], 488cd, 635cd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.5999 cents
 
[[File:baldy_147edo.jpg|alt=baldy_147edo.jpg|baldy_147edo.jpg]]


[[baldy6|baldy6]] - six note [[haplotonic_scale|haplotonic scale]]
[[File:baldy_147edo.jpg|right|alt=baldy_147edo.jpg|Baldy in 147edo]]


[[baldy11|baldy11]] - eleven note [[albitonic_scale|albitonic scale]]
Scales
* [[Baldy6]] – 6-tone haplotonic scale
* [[Baldy11]] – 11-tone albitonic scale
* [[Baldy17]] – 17-tone chromatic scale


[[baldy17|baldy17]] - seventeen note [[chromatic_scale|chromatic scale]]


== Guanyintet ==
== Guanyintet ==
Subgroup: 2.5.7/3.11/3
{{See also | Subgroup temperaments #Guanyintet }}
 
Commas: 176/175, 540/539
 
Svalname: 4&amp;9
 
Related temperaments: guanyin, orwell
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 270.093
 
[[Gencom|Gencom]]: [2 7/6; 176/175 540/539]
 
Gencom mapping: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]


Mapping: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]
Scales:  
 
* [[Guanyintet5]] – 5-tone haplotonic scale
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd
* [[Guanyintet9]] – 9-tone albitonic scale
 
* [[Guanyintet13]] – 13-tone chromatic scale
[[Tp_tuning#T2 tuning|RMS error]]: 0.6028 cents
 
[[guanyintet5|Five note haplotonic scale]]
 
[[guanyintet9|Nine note albitonic scale]]
 
[[guanyintet13|Thirteen note chromatic scale]]


== Radon ==
== Radon ==
Subgroup: 2.3.7.11
{{See also| Gamelismic clan #Radon }}
 
Commas: 896/891, 1029/1024
 
Sval name: 5&amp;36
 
Related temperament: [[Gamelismic_clan|Rodan]]


[[Tp_tuning|POT2 generator]]: ~8/7 = 234.381
[[File:radon_128edo.jpg|right|alt=radon_128edo.jpg|Radon in 128edo]]


[[Gencom|Gencom]]: [2 8/7; 896/891 1029/1024]
* [[Radon5]] – 5-tone haplotonic scale
 
* [[Radon11]] – 11-tone albitonic scale
Gencom mapping: [&lt;1 1 0 3 6|, &lt;0 3 0 -1 -13|]
* [[Radon16]] – 16-tone chromatic scale
 
Mapping: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]
 
{{EDOs|legend=1| 5, 36, 41, 87, 128}}
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.6502 cents
 
[[File:radon_128edo.jpg|alt=radon_128edo.jpg|radon_128edo.jpg]]
 
[[radon5|Five note haplotonic scale]]
 
[[radon11|Eleven note albitonic scale]]
 
[[radon16|Sixteen note chromatic scale]]


== Gariberttet ==
== Gariberttet ==
Subgroup: 2.5/3.7/3.13/11
{{See also | Subgroup temperaments #Gariberttet }}
 
Commas: 275/273, 847/845
 
Svalname: 4&amp;29
 
[[Tp_tuning|POT2 generator]]: ~13/11 = 293.679
 
[[Gencom|Gencom]]: [2 13/11; 275/273 847/845]


Gencom mapping: [&lt;1 0 0 0 0 0|, &lt;0 -8/3 1/3 7/3 -1/2 1/2|]
Scales:  
 
* [[Gariberttet5]] – 5-tone haplotonic scale
Mapping: [&lt;1 0 0 0|, &lt;0 3 5 1|]
* [[Gariberttet9]] – 9-tone albitonic scale
 
* [[Gariberttet13]] – 13-tone chromatic scale
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.6914 cents
 
[[gariberttet5|Five note haplotonic scale]]
 
[[gariberttet9|Nine note albitonic scale]]
 
[[gariberttet13|Thirteen note chromatic scale]]


== Namo ==
== Namo ==
Subgroup: 2.3.11.13
{{See also| Rastmic clan #Namo }}
 
Commas: 144/143, 243/242
 
Related temperament: [[Valinorismic_temperaments#Mandos|mandos]], mohajira, hemif
 
[[Tp_tuning|POT2 generator]]: ~11/9 = 351.488
 
[[Gencom|Gencom]]: [2 11/9; 144/143 243/242]
 
Gencom mapping: [&lt;1 1 0 0 2 4|, &lt;0 2 0 0 5 -1|]
 
Mapping: [&lt;1 1 2 4|, &lt;0 2 5 -1|]
 
EDOs: 7, 10, 17, 41, 58, 99cd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7038 cents
 
[[namo7|Seven note haplotonic scale]]


[[namo10|Ten note albitonic scale]]
Scales:
 
* [[Namo7]] – 7-tone haplotonic scale
[[namo17|Seventeen note chromatic scale]]
* [[Namo10]] – 10-tone albitonic scale
* [[Namo17]] – 17-tone chromatic scale


== Sentry ==
== Sentry ==
Subgroup: 2.5/3.9/7
{{See also | Subgroup temperaments #Sentry }}
 
Commas: 245/243
 
Svalname: 3&amp;5
 
Related temperaments: sensi
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 440.902
 
[[Gencom|Gencom]]: [2 9/7; 245/243]
 
Gencom mapping: [&lt;1 0 0 0|, &lt;0 0 2 -1|]
 
Mapping: [&lt;1 0 0|, &lt;0 2 1|]
 
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc


[[Tp_tuning#T2 tuning|RMS error]]: 0.7105 cents
Scales:
 
* [[Sentry5]] – 5-tone haplotonic scale
[[sentry5|Five note haplotonic scale]]
* [[Sentry8]] – 8-tone albitonic scale
 
* [[Sentry11]] – 11-tone chromatic scale
[[sentry8|Eight note albitonic scale]]
 
[[sentry11|Eleven note note chromatic scale]]


== Hemif ==
== Hemif ==
Subgroup: 2.3.7.11.13
{{See also| No-fives subgroup temperaments #Hemif }}
 
Commas: 144/143, 243/242, 364/363
 
Related temperament: [[Breedsmic_temperaments|Hemififths]], namo
 
[[Tp_tuning|POT2 generator]]: ~11/9 = 351.691
 
[[Gencom|Gencom]]: [2 11/9; 144/143 243/242 364/363]
 
Gencom mapping: [&lt;1 1 0 -1 2 4|, &lt;0 2 0 13 5 -1|]
 
Mapping: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]
 
EDOs: 7, 10, 17, 24, 41, 58
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7167 cents
 
[[File:hemif_58edo.jpg|alt=hemif_58edo.jpg|hemif_58edo.jpg]]


[[hemif7|Seven note haplotonic scale]]
[[File:hemif_58edo.jpg|right|alt=hemif_58edo.jpg|Hemif in 58edo]]


[[hemif10|Ten note albitonic scale]]
Scales:
 
* [[Hemif7]] – 7-tone haplotonic scale
[[hemif17|Seventeen note chromatic scale]]
* [[Hemif10]] – 10-tone albitonic scale
* [[Hemif17]] – 17-tone chromatic scale


== Garibaldi ==
== Garibaldi ==
Subgroup: 2.3.5.7
{{Main| Garibaldi temperament }}
 
{{See also| Schismatic family #Garibaldi }}
Commas: 225/224, 3125/3087
 
Val name: 12&amp;29
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 702.085
 
[[Gencom|Gencom]]: [2 3/2; 225/224 3125/3087]
 
Gencom mapping: [&lt;1 1 7 11], &lt;0 1 -8 -14|]
 
Mapping: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]
 
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7257 cents
 
[[File:garibaldi_94edo.png|alt=garibaldi_94edo.png|garibaldi_94edo.png]]
 
[[garibaldi12|Twelve note albitonic scale]]
 
[[garibaldi17|Seventeen note chromatic scale]]
 
== Mabila ==
Subgroup: 2.5.7
 
Comma: 1071875/1048576
 
Sval name: 7&amp;9
 
[[Tp_tuning|POT2 generator]]: ~175/128 = 527.236
 
[[Gencom|Gencom]]: [2 175/128; 1071875/1048576]
 
Gencom mapping: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]
 
Mapping: [&lt;1 1 5|, &lt;0 3 -5|]
 
EDOs: 7, 9, 16, 25, 41, 66, 305bc


[[Tp_tuning#T2 tuning|RMS error]]: 0.7729 cents
[[File:garibaldi_94edo.png|right|alt=garibaldi_94edo.png|Garibaldi in 94edo]]


[[File:mabila_66edo.jpg|alt=mabila_66edo.jpg|mabila_66edo.jpg]]
Scales:
* [[Garibaldi12]] – 12-tone albitonic scale
* [[Garibaldi17]] – 17-tone chromatic scale


[[mabila7|Seven note haplotonic scale]]
== Mabilic ==
{{See also| No-threes subgroup temperaments #Mabilic }}


[[mabila9|Nine note albitonic scale]]
[[File:mabila_66edo.jpg|right|alt=mabila_66edo.jpg|Mabilic in 66edo]]


[[mabila16|Sixteen note chromatic scale]]
Scales:
* [[Mabilic7]] – 7-tone haplotonic scale
* [[Mabilic9]] – 9-tone albitonic scale
* [[Mabilic16]] – 16-tone chromatic scale


== Indium ==
== Indium ==
Subgroup: 2.5/3.7/3.11/3
{{See also | Subgroup temperaments #Indium }}
 
Commas: 3025/3024, 3125/3087
 
Sval name: 8&amp;33
 
[[Tp_tuning|POT2 generator]]: ~12/11 = 147.010
 
[[Gencom|Gencom]]: [2 12/11; 3025/3024 3125/3087]
 
Gencom mapping: [&lt;1 -1/2 -1/2 -1/2 3/2|, &lt;0 -15/4 9/4 25/4 -19/4|]
 
Mapping: [&lt;1 0 0 2|, &lt;0 6 10 -1|]
 
EDOs: 33, 41, 49, 57, 106, 204, 253
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.7788 cents
 
[[File:indium_253edo.png|alt=indium_253edo.png|indium_253edo.png]]


[[indium8|Eight note albitonic scale]]
[[File:indium_253edo.png|right|alt=indium_253edo.png|Indium in 253edo]]


[[indium17|Seventeen note chromatic scale]]
Scales:
* [[Indium8]] – 8-tone albitonic scale
* [[Indium17]] – 17-tone chromatic scale


=== Music ===
; Music
<span style=""><span style="">[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 The Cry of Indium]</span></span> (in Indium 17) by [http://www.chrisvaisvil.com/ Chris Vaisvil] =&gt; [http://chrisvaisvil.com/?p=1532 details]
* ''The Cry of Indium'' (2011) by [[Chris Vaisvil]] – [https://www.chrisvaisvil.com/the-cry-of-indium/ blog] | [https://web.archive.org/web/20201127012551/http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3 play] – in Indium[17]


== Starlingtet ==
== Starlingtet ==
Subgroup: 2.5/3.7/3
{{See also | Subgroup temperaments #Starlingtet }}
 
Comma: 126/125
 
Svalname: 4&amp;15
 
Related temperaments: starling; becomes myna
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 311.154
 
[[Gencom|Gencom]]: [2 6/5; 126/125]
 
Gencom mapping: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]
 
Mapping: [&lt;1 0 -1|, &lt;0 1 3|]
 
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8398 cents
 
[[starlingtet4|Four note haplotonic scale]]
 
[[starlingtet7|Seven note albitonic scale]]


[[starlingtet11|Eleven note chromatic scale]]
Scales:
* [[Starlingtet4]] – 4-tone haplotonic scale
* [[Starlingtet7]] – 7-tone albitonic scale
* [[Starlingtet11]] – 11-tone chromatic scale


== Lovecraft ==
== Lovecraft ==
Subgroup: 2.11.13
{{See also | No-threes subgroup temperaments #Lovecraft }}
 
Commas: 1352/1331


[[Tp_tuning|POT2 generator]]: ~13/11 = 279.318
[[File:lovecraft_116edo.png|right|alt=lovecraft_116edo.png|Lovecraft in 116edo]]


[[Gencom|Gencom]]: [2 13/11; 1352/1331]
Scales:  
 
* [[Lovecraft5]] – 5-tone haplotonic scale
Gencom mapping: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]
* [[Lovecraft9]] – 9-tone albitonic scale
 
* [[Lovecraft13]] – 13-tone chromatic scale
Mapping: [&lt;1 1 0|, &lt;0 2 3|]
 
EDOS: 13, 30, 43, 73, 116b
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8449 cents
 
[[File:lovecraft_116edo.png|alt=lovecraft_116edo.png|lovecraft_116edo.png]]
 
[[lovecraft5|Five note haplotonic scale]]
 
[[lovecraft9|Nine note albitonic scale]]
 
[[lovecraft13|Thirteen note chromatic scale]]


== Blackbirds ==
== Blackbirds ==
Subgroup: 2.11.13
{{See also | No-threes subgroup temperaments #Blackbirds }}


Comma: 29282/28561
Scales:  
 
* [[Blackbirds8]] – 8-tone albitonic scale
[[Tp_tuning|POT2 generator]]: ~11/8 = 546.660
* [[Blackbirds12]] – 12-tone chromatic scale
 
* [[Blackbirds16]] – 16-tone mega-chromatic scale
Gencom: [13/11 11/8; 29282/28561]
 
Gencom mapping: [&lt;4 0 0 0 12 13|, &lt;0 0 0 0 1 1|]
 
Mapping: [&lt;4 0 1|, &lt;0 1 1|]
 
EDOs: 4, 16, 20, 24, 44, 68, 112c, 180bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8685 cents
 
[[blackbirds8|Eight note albitonic scale]]
 
[[blackbirds12|Twelve note chromatic scale]]
 
[[blackbirds16|Sixteen note mega chromatic scale]]


== Laz ==
== Laz ==
Subgroup: 2.5.7/3.11/3.13/3
{{See also | Subgroup temperaments #Laz }}
 
Commas: 144/143, 176/175, 196/195
 
Related temperaments: [[Orwellismic_family#Guanyin-Georgian|georgian]], winston
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 269.300


[[Gencom|Gencom]]: [2 7/6; 144/143 176/175 196/195]
Scales:
 
* [[Laz5]] – 5-tone haplotonic scale
Gencom mapping: [&lt;1 -5/4 3 -1/4 7/4 -1/4|, &lt;0 -1/4 -3 3/4 -21/4 19/4|]
* [[Laz9]] – 9-tone albitonic scale
 
* [[Laz13]] – 13-tone chromatic scale
Mapping: [&lt;1 0 2 -2 6|, &lt;0 3 -1 5 -5|]
 
EDOs: 9, 31, 40, 49, 58, 156bde, 205bde
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.8790 cents
 
[[laz5|Five note haplotonic scale]]
 
[[laz9|Nine note albitonic scale]]
 
[[laz13|Thirteen note chromatic scale]]


== Myna ==
== Myna ==
Subgroup: 2.3.5.7
{{Main| Myna }}
 
{{See also| Starling temperaments #Myna }}
Commas: 126/125, 1728/1715
 
Val name: 4&amp;27
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 310.146
 
[[Gencom|Gencom]]: [2 6/5; 126/125 1728/1715]
 
Gencom mapping: [&lt;1 -1 0 1|,&lt;0 10 9 7|]
 
Mapping: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]
 
EDOs: 4, 27, 31, 58, 89, 236c, 325cd
 
[[Tp_tuning#T2 tuning|RMS error]]: 0.9516 cents
 
[[File:myna_89edo.jpg|alt=myna_89edo.jpg|myna_89edo.jpg]]
 
[[myna7|Seven note haplotonic scale]]


[[myna11|Eleven note albitonic scale]]
[[File:myna_89edo.jpg|right|alt=myna_89edo.jpg|Myna in 89edo]]


[[myna15|Fifteen note chromatic scale]]
Scales:
* [[Myna7]] – 7-tone haplotonic scale
* [[Myna11]] – 11-tone albitonic scale
* [[Myna15]] – 15-tone chromatic scale


== Greeley ==
== Greeley ==
Subgroup: 2.5/3.7/3.11/3
{{See also| Subgroup temperaments #Greeley }}
 
Commas: 121/120, 126/125
 
Related temperament: [[Porcupine_family#Opossum|Opossum]], [[Starling_temperaments#Nusecond temperament|Nusecond]]
 
[[Tp_tuning|POT2 generator]]: ~11/10 = 155.776
 
[[Gencom|Gencom]]: [2 11/10; 121/120 126/125]
 
Gencom mapping: &lt;1 -5/4 -1/4 3/4 3/4|, &lt;0 9/4 1/4 -15/4 5/4|]
 
Mapping: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]
 
EDOs: 8, 15, 23, 54, 77, 100, 131d, 208bd


[[Tp_tuning#T2 tuning|RMS error]]: 1.034 cents
[[File:greeley_100edo.png|right|alt=greeley_100edo.png|Greeley in 100edo]]


[[File:greeley_100edo.png|alt=greeley_100edo.png|greeley_100edo.png]]
Scales:
* [[Greeley8]] – 8-tone albitonic scale
* [[Greeley15]] – 15-tone chromatic scale


[[greeley8|Eight note albitonic scale]]
; Music
* ''A Greeley Steals Halloween'' by [[Chris Vaisvil]] (2011) – [https://www.chrisvaisvil.com/tuning-survey-october-26th-2011/ blog] | [https://web.archive.org/web/20201201174756/http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 play] – in Greeley[15]


[[greeley15|Fifteen note chromatic scale]]
== Ammon ==
{{See also| Subgroup temperaments #Ammon }}


=== Music ===
[[File:semidim_770edo.png|right|alt=semidim_770edo.png|Ammon in 770edo]]
<span style=""><span style="">[http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3 A Greeley Steals Halloween]</span></span> by [http://chrisvaisvil.com/?p=1485 Chris Vaisvil] in Greeley 15


== Semidim ==
Scales:  
Subgroup: 2.5/3.7/3.11/3.13/3
* [[Ammon8]] – 8-tone albitonic scale
 
* [[Ammon13]] – 13-tone chromatic scale
Commas: 121/120, 169/168, 275/273
 
Sval name: 8&amp;29
 
[[Tp_tuning|POT2 generator]]: ~13/10 = 453.242
 
[[Gencom|Gencom]]: [2 13/10; 121/120 169/168 275/273]
 
Gencom mapping: [&lt;1 -3 0 2 0 1|, &lt;0 24/5 -6/5 -26/5 9/5 -1/5|]
 
Mapping: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]
 
EDOs: 5, 8, 13, 21, 29, 37, 44, 45, 188bde,
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.052 cents
 
[[File:semidim_770edo.png|alt=semidim_770edo.png|semidim_770edo.png]]
 
[[semidim8|Eight note albitonic scale]]
 
[[semidim13|Thirteen note chromatic scale]]


== Mothwelltri ==
== Mothwelltri ==
Subgroup: 2.7/3.11
{{See also| Subgroup temperaments #Mothwelltri }}
 
Comma: 99/98
 
Svalname: 1&amp;4
 
Related temperament: Orwell
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 273.174
 
[[Gencom|Gencom]]: [2 7/6; 99/98]
 
Gencom mapping: [&lt;1 -1/2 0 1/2 3|, &lt;0 -1/2 0 1/2 2|]
 
Mapping: [&lt;1 0 1|, &lt;0 1 2|]
 
EDOs: 9, 22, 40, 49c, 58c, 67c, 76c, 79, 101b, 123bc
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.064 cents
 
[[mothwelltri5|Five note haplotonic scale]]


[[mothwelltri9|Nine note albitonic scale]]
Scales:
 
* [[Mothwelltri5]] – 5-tone haplotonic scale
[[mothwelltri13|Thirteen note chromatic scale]]
* [[Mothwelltri9]] – 9-tone albitonic scale
* [[Mothwelltri13]] – 13-tone chromatic scale


== Sulis ==
== Sulis ==
Subgroup: 2.5.9/7.11/9
{{See also| Subgroup temperaments #Sulis }}
 
Commas: 99/98, 176/175
 
Related temperament: [[Marvel_family#Minerva|minerva]], würschmidt
 
[[Tp_tuning|POT2 generator]]: ~5/4 = 386.558
 
[[Gencom|Gencom]]: [2 5/4; 99/98 176/175]
 
Gencom mapping: [&lt;1 4/9 2 -1/9 -1/9|, &lt;0 -4/3 1 -2/3 4/3|]
 
Mapping: [&lt;1 0 5 -9|, &lt;0 1 -2 4|]
 
EDOs: 22, 25, 28, 31, 59, 90c, 149c
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.074 cents
 
[[sulis7|Seven note haplotonic scale]]
 
[[sulis10|Ten note albitonic scale]]


[[sulis13|Thirteen note chromatic scale]]
Scales:
* [[Sulis7]] – 7-tone haplotonic scale
* [[Sulis10]] – 10-tone albitonic scale
* [[Sulis13]] – 13-tone chromatic scale


== Skwares ==
== Skwares ==
Subgroup: 2.3.7.11
{{Main| Squares }}
 
{{See also| No-fives subgroup temperaments #Skwares }}
Commas: 99/98, 243/242
 
Related temperament: [[Meantone_family|squares]]
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 425.244
 
[[Gencom|Gencom]]: [2 9/7; 99/98 243/242]
 
Gencom mapping: [&lt;1 3 0 6 7|, &lt;0 -4 0 -9 -10|]
 
Mapping: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]
 
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206bcd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.099 cents
 
[[File:skwares_206edo.png|alt=skwares_206edo.png|skwares_206edo.png]]
 
[[skwares8|Eight note albitonic scale]]


[[skwares11|Eleven note mega albitonic scale]]
[[File:skwares_206edo.png|right|alt=skwares_206edo.png|Skwares in 206edo]]


[[skwares14|Fourteen note chromatic scale]]
Scales:
* [[Skwares8]] – 8-tone albitonic scale
* [[Skwares11]] – 11-tone mega-albitonic scale
* [[Skwares14]] – 14-tone chromatic scale


== Orwell ==
== Orwell ==
Subgroup: 2.3.5.7.11
{{Main| Orwell }}
 
{{See also| Semicomma family #Orwell }}
Commas: 99/98, 121/120, 176/175
 
Val name: 9&amp;22
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 271.426
 
[[Gencom|Gencom]]: [2 7/6; 99/98 121/120 176/175]
 
Gencom mapping: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
 
Mapping: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]
 
EDOs: 9, 22, 31, 53, 84e
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.151 cents
 
[[File:orwell_84edo.png|alt=orwell_84edo.png|orwell_84edo.png]]
 
[[orwell5|Five note haplotonic scale]]


[[orwell9|Nine note albitonic scale]]
[[File:orwell_84edo.png|right|alt=orwell_84edo.png|Orwell in 84edo]]


[[orwell13|Thirteen note chromatic scale]]
Scales:
* [[Orwell5]] – 5-tone haplotonic scale
* [[Orwell9]] – 9-tone albitonic scale
* [[Orwell13]] – 13-tone chromatic scale


== Magicaltet ==
== Magicaltet ==
Subgroup: 2.5/3.7.11
{{See also| Subgroup temperaments #Magicaltet }}
 
Commas: 100/99, 385/384


Related temperaments: 4&amp;7&amp;15, superkleismic, magic
Scales:  
 
* [[Magicaltet7]] – 7-tone albitonic scale
[[Tp_tuning|POT2 generator]]: ~6/5 = 322.659
* [[Magicaltet11]] – 11-tone chromatic scale
 
* [[Magicaltet15]] – 15-tone mega-chromatic scale
[[Gencom|Gencom]]: [2 6/5; 100/99 385/384]
 
Gencom mapping: [&lt;1 -1/2 1/2 2 4|, &lt;0 1/2 -1/2 3 -2|]
 
Mapping: [&lt;1 0 5 2|, &lt;0 1 -3 2|]
 
EDOs: 11, 15, 26, 67, 79cd, 93b, 94cd, 109cd, 119b, 124cd, 139cd, 212bd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.206 cents
 
[[magicaltet7|Seven note albitonic scale]]
 
[[magicaltet11|Eleven note chromatic scale]]
 
[[magicaltet15|Fifteen note mega scale]]


== Magic ==
== Magic ==
Subgroup: 2.3.5.7.11
{{Main| Magic }}
{{See also| Magic family #Magic }}


Commas: 100/99, 225/224, 245/243
[[File:magic_145edo.jpg|right|alt=magic_145edo.jpg|Magic in 145edo]]


Val name: 19&amp;22
Scales:  
 
* [[Magic7]] – 7-tone haplotonic scale
[[Tp_tuning|POT2 generator]]: ~5/4 = 380.696
* [[Magic10]] – 10-tone albitonic scale
 
* [[Magic13]] – 13-tone chromatic scale
[[Gencom|Gencom]]: [2 5/4; 100/99 225/224 245/243]
* [[Magic16]] – 16-tone mega-chromatic scale
 
Gencom mapping: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
 
Mapping: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]
 
EDOs: 19, 22, 41, 104, 145
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.226 cents
 
[[File:magic_145edo.jpg|alt=magic_145edo.jpg|magic_145edo.jpg]]
 
[[magic7|Seven note haplotonic scale]]
 
[[magic10|Ten note albitonic scale]]
 
[[magic13|Thirteen note chromatic scale]]
 
[[magic16|Sixteen note mega chromatic scale]]
 
=== Music ===
<span style="">[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3 Chromatic piece in magic 16]</span> [http://www.chrisvaisvil.com/ Chris Vaisvil]


== Kiribati ==
== Kiribati ==
Subgroup: 2.9/5.7/3.11/9
{{See also| Subgroup temperaments #Kiribati }}


Commas: 100/99, 245/242
Scales:  
 
* [[Kiribati13]] – 13-tone chromatic scale
Related temperament: [[Octagar_family|nakika]], octacot
* [[Kiribati14]] – 14-tone chromatic scale
 
[[Tp_tuning|POT2 generator]]: ~21/20 = 87.892
 
[[Gencom|Gencom]]: [2 21/20; 100/99 245/242]
 
Gencom mapping: [&lt;1 1/10 -4/5 11/10 1/5|, &lt;0 -3/2 -1 3/2 1|]
 
Mapping: [&lt;1 1 1 0|, &lt;0 -2 3 4|]
 
EDOs: 13, 14, 27, 41, 55, 191bd, 232bcd, 273bcd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.245 cents
 
[[kiribati13|Thirteen note chromatic scale]]
 
[[kiribati14|Fourteen note chromatic scale]]


== Score ==
== Score ==
Subgroup: 2.7.11.13
{{See also|No-threes subgroup temperaments #Score }}
 
Commas: 343/338, 847/832
 
[[Tp_tuning|POT2 generator]]: ~11/8 = 540.099
 
[[Gencom|Gencom]]: [2 11/8; 343/338 847/832]
 
Gencom mapping: [&lt;1 0 0 1 3 1|, &lt;0 0 0 4 1 6|]
 
Mapping: [&lt;1 1 3 1|, &lt;0 4 1 6|]
 
EDOs: 5, 7, 9, 11, 20
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.282 cents
 
[[File:score_20edo.jpg|alt=score_20edo.jpg|score_20edo.jpg]]
 
[[score5|Five note haplotonic scale]]
 
[[score7|Seven note albitonic scale]]
 
[[score9|Nine note mega albitonic scale]]
 
[[score11|Eleven note chromatic scale]]
 
== Sensation ==
Subgroup: 2.3.5.7.13
 
Commas: 91/90, 126/125, 169/168


Related temperaments: Sensi, Sensis, Sensus
[[File:score_20edo.jpg|right|alt=score_20edo.jpg|Score in 20edo]]


[[Tp_tuning|POT2 generator]]: ~9/7 = 443.322
Scales:  
 
* [[Score5]] – 5-tone haplotonic scale
[[Gencom|Gencom]]: [2 9/7; 91/90 126/125 169/168]
* [[Score7]] – 7-tone albitonic scale
 
* [[Score9]] – 9-tone mega-albitonic scale
Gencom mapping: [&lt;1 -1 -1 -2 0 0|, &lt;0 7 9 13 0 10|]
* [[Score11]] – 11-tone chromatic scale
 
Mapping: [&lt;1 6 8 11 10|, &lt;0 -7 -9 -13 -10|]
 
EDOs: 19, 27, 46, 111de, 157de
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.321 cents
 
[[sensi5|Five note haplotonic scale]]
 
[[sensi8|Eight note albitonic scale]]
 
[[sensi11|Eleven note mega albitonic scale]]
 
[[sensi19|Nineteen note chromatic scale]]


== Sensi ==
== Sensi ==
Group: 2.3.5.7
{{Main| Sensi }}
 
{{See also| Sensipent family #Sensi }}
Commas: 126/125, 245/243
 
Val name: 19&amp;27
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 443.383
 
[[Gencom|Gencom]]: [2 9/7; 126/125 245/243]
 
Gencom mapping: [&lt;1 -1 -1 -2|, &lt;0 7 9 13|]
 
Mapping: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]
 
EDOs: 5, 8, 11, 19, 27, 46, 157d, 203cd, 249cd, 295cd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.323 cents
 
[[File:sensi_46edo.jpg|alt=sensi_46edo.jpg|sensi_46edo.jpg]]


[[sensi5|Five note haplotonic scale]]
[[File:sensi_46edo.jpg|right|alt=sensi_46edo.jpg|Sensi in 46edo]]


[[sensi8|Eight note albitonic scale]]
Scales:
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


[[sensi11|Eleven note mega albitonic scale]]
=== Sensation ===
{{Main| Sensi }}
{{See also| Sensipent family #Sensi }}


[[sensi19|Nineteen note chromatic scale]]
Scales:
* [[Sensi5]] – 5-tone haplotonic scale
* [[Sensi8]] – 8-tone albitonic scale
* [[Sensi11]] – 11-tone mega-albitonic scale
* [[Sensi19]] – 19-tone chromatic scale


== Meantone ==
== Meantone ==
Group: 2.3.5.7
{{Main| Meantone }}
 
{{See also| Meantone family #Meantone }}
Commas: 81/80, 126/125
 
Val name: 12&amp;19
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 696.495
 
[[Gencom|Gencom]]: [2 3/2; 81/80 126/125]
 
Gencom mapping: [&lt;1 1 0 -3|, &lt;0 1 4 10|]
 
Mapping: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]
 
EDOs: 5, 7, 12, 19, 31, 81, 112b, 143b
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.382 cents
 
[[File:meantone_31edo.jpg|alt=meantone_31edo.jpg|meantone_31edo.jpg]]


[[meantone5|Five note haplotonic scale]]
[[File:meantone_31edo.jpg|right|alt=meantone_31edo.jpg|Meantone in 31edo]]


[[meantone7|Seven note albitonic scale]]
Scales:
 
* [[Meantone5]] – 5-tone haplotonic scale
[[meantone12|Twelve note chromatic scale]]
* [[Meantone7]] – 7-tone albitonic scale
* [[Meantone12]] – 12-tone chromatic scale


== Mohaha ==
== Mohaha ==
Subgroup: 2.3.5.11
{{See also| Rastmic clan #Mohaha }}
 
Commas: 81/80, 121/120
 
Related temperament: [[Meantone_family|mohajira]]
 
[[Tp_tuning|POT2 generator]]: ~11/9 = 348.094
 
[[Gencom|Gencom]]: [2 11/9; 81/80 121/120]
 
Gencom mapping: [&lt;1 1 0 0 2|, &lt;[0 2 8 0 5|]
 
Mapping: [&lt;1 1 0 2|, &lt;0 2 8 5|]
 
EDOs: 24, 31, 55, 69d, 100d, 131bd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.392 cents


[[File:mohaha_131edo.png|alt=mohaha_131edo.png|mohaha_131edo.png]]
[[File:mohaha_131edo.png|right|alt=mohaha_131edo.png|Mohaha in 131edo]]


[[mohaha7|Seven note albitonic scale]]
Scales:
* [[Mohaha7]] – 7-tone albitonic scale
* [[Mohaha10]] – 10-tone chromatic scale


[[mohaha10|Ten note chromatic scale]]
Music:
; [[Billy Stiltner]]
* [http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 ''Mohaha10ping2'']{{dead link}}


=== Music ===
=== Mohoho ===
[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 Mohaha10ping2] by [[Billy_Stiltner|Billy Stiltner]]
{{See also| Rastmic clan #Mohoho }}


== Joan ==
== Joan ==
Subgroup: 2.9.7.11
{{See also| Subgroup temperaments #Joan }}
 
Commas: 99/98, 9317/9216
 
Related temperaments: casablanca, orwell
 
[[Tp_tuning|POT2 generator]]: ~11/8 = 542.672 cents
 
Gencom: [2 11/8; 99/98 9317/9216]
 
Gencom mapping: [&lt;1 0 0 1 3|, &lt;0 7/2 0 4 1|]
 
Mapping: [&lt;1 0 1 3|, &lt;0 7 4 1|]
 
EDOs: 11, 20, 31, 42, 115bd, 157bd
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.424 cents
 
[[joan5|Five note haplotonic scale]]
 
[[joan7|Seven note albitonic scale]]
 
[[joan9|Nine note mega albitonic scale]]


[[joan11|Eleven note chromatic scale]]
Scales:
* [[Joan5]] – 5-tone haplotonic scale
* [[Joan7]] – 7-tone albitonic scale
* [[Joan9]] – 9-tone mega-albitonic scale
* [[Joan11]] – 11-tone chromatic scale


== Tutone ==
== Tutone ==
Subgroup: 2.9.5.7.11
{{See also| Hemimean clan #Tutone }}
 
Commas: 81/80, 99/98, 126/125
 
Related temperaments: [[Meantone_family|meantone]], [[Hemimean_family#Belobog|belobog]], hemithirds, hemiwürschmidt
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 193.937
 
[[Gencom|Gencom]]: [2 9/8; 81/80 99/98 126/125]
 
Gencom mapping: [&lt;1 3/2 2 2 2|, &lt;0 1/2 2 5 9|]
 
Mapping: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]


EDOs: 25, 31, 68b, 99b
[[File:tutone_99edo.png|right|alt=tutone_99edo.png|Tutone in 99edo]]


[[Tp_tuning#T2 tuning|RMS error]]: 1.439 cents
Scales:
 
* [[Tutone6]] – 6-tone haplotonic scale
[[tutone6|Six note haplotonic scale]]
* [[Tutone7]] – 7-tone albitonic scale
 
* [[Tutone13]] – 13-tone chromatic scale
[[tutone7|Seven note albitonic scale]]
 
[[tutone13|Thirteen note chromatic scale]]
 
[[File:tutone_99edo.png|alt=tutone_99edo.png|tutone_99edo.png]]


== Stacks ==
== Stacks ==
Subgroup: 2.9.15.7.11.13
{{See also|Subgroup temperaments #Stacks (a.k.a. 2magic) }}


Commas: 100/99, 105/104, 144/143, 196/195
Scales:  
 
* [[Stacks5]] – 5-tone haplotonic scale
Related temperament: [[Magic_family#Magic-13-limit|magic]]
* [[Stacks8]] – 8-tone albitonic scale
 
* [[Stacks11]] – 11-tone chromatic scale
Svalname: 11&amp;30
* [[Stacks19]] – 19-tone mega-chromatic scale
 
[[Tp_tuning|POT2 generator]]: ~9/7 = 439.146
 
[[Gencom|Gencom]]: [2 9/7; 100/99 105/104 144/143 196/195]
 
Gencom mapping: [&lt;1 5/2 5/2 5 2 7|, &lt;0 -5/2 -1/2 -6 4 -9|]
 
Mapping: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]
 
EDOs: 11, 30, 41, 153cdef, 194cdef, 235cdef
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.540 cents
 
[[stacks5|Five note haplotonic scale]]
 
[[stacks8|Eight note albitonic scale]]
 
[[stacks11|Eleven note note chromatic scale]]
 
[[stacks19|Nineteen note note mega chromatic scale]]


== Bleu ==
== Bleu ==
Group: 2.3.7.11.13
{{See also| No-fives subgroup temperaments #Bleu }}
 
Commas: 78/77, 99/98, 144/143
 
Sval name: 9&amp;17
 
[[Tp_tuning|POL2 generator]]: ~13/12 = 139.990
 
[[Gencom|Gencom]]: [2 13/12; 78/77 99/98 144/143]


Gencom mapping: [&lt;1 1 0 2 3 3|, &lt;0 5 0 7 4 6|]
Scales:  
 
* [[Bleu8]] – 8-tone haplotonic scale
Mapping: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]
* [[Bleu9]] – 9-tone albitonic scale
 
* [[Bleu17]] – 17-tone chromatic scale
EDOs: [[17edo|17]], [[43edo|43]], [[60edo|60c]]
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.752 cents
 
[[File:blue_60edo.png|alt=blue_60edo.png|blue_60edo.png]]
 
[[bleu8|bleu8]] - Eight note [[haplotonic_scale|haplotonic scale]]
 
[[bleu9|bleu9]] - Nine note [[albitonic_scale|albitonic scale]]
 
[[bleu17|bleu17]] - Seventeen note [[chromatic_scale|chromatic scale]]
 
[http://micro.soonlabel.com/temperaments/Bleu/20131103_2-11-13-subgroup-Bleu17_a-well-worn-riff.mp3 On a Well Worn Riff (Bleu 17)] by [http://chrisvaisvil.com/on-a-well-worn-riff-bleu-17/ Chris Vaisvil]


== Sephiroth ==
== Sephiroth ==
Subgroup: 2.5.11.13.17
{{See also| No-threes subgroup temperaments #Sephiroth }}
 
Commas: 65/64, 170/169, 221/220
 
Related temperament: [[Muggles]]
 
[[Tp_tuning|POT2 generator]]: ~5/4 = 372.236
 
[[Gencom|Gencom]]: [2 5/4; 65/64 170/169 221/220]
 
Gencom mapping: [&lt;1 0 2 0 5 4 5|, &lt;0 0 1 0 -5 -1 -3|]
 
Mapping: [&lt;1 0 15 6 11|, &lt;0 1 -5 -1 -3|]
 
EDOs: 10, 13, 16, 29
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.774 cents
 
[[sephiroth7|Seven note haplotonic scale]]
 
[[sephiroth10|Ten note albitonic scale]]


[[sephiroth13|Thirteen note chromatic scale]]
Scales:
 
* [[Sephiroth7]] – 7-tone haplotonic scale
[[sephiroth16|Sixteen note mega chromatic scale]]
* [[Sephiroth10]] – 10-tone albitonic scale
* [[Sephiroth13]] – 13-tone chromatic scale
* [[Sephiroth16]] – 16-tone mega-chromatic scale


== Archy ==
== Archy ==
Subgroup: 2.3.7
{{Main| Superpyth }}
 
{{See also| Archytas clan #Archy }}
Comma: 64/63
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 709.321
 
Gencom: [2 3/2; 64/63]
 
Gencom mapping: [&lt;1 1 0 4|, &lt;0 1 0 -2|]
 
Mapping: [&lt;1 2 2|, &lt;0 -1 2|]


EDOs: 5, 12, 17, 22, 27, 137bc
Scales:  
* [[Archy5]] – 5-tone haplotonic scale
* [[Archy7]] – 7-tone albitonic scale
* [[Archy12]] – 12-tone chromatic scale


[[Tp_tuning#T2 tuning|RMS error]]: 1.856 cents
=== Supra ===
{{Main| Superpyth }}
{{See also| Archytas clan #Supra }}


[[archy5|Five note haplotonic scale]]
[[File:supra_56edo.png|right|alt=supra_56edo.png|Supra in 56edo]]


[[archy7|Seven note albitonic scale]]
Scales:
* [[Supra7]] – 7-tone [[albitonic scale]]
* [[Supra12]] – 12-tone [[chromatic scale]]


[[archy12|Twelve note chromatic scale]]
=== Supraphon ===
{{Main| Superpyth }}
{{See also| Archytas clan #Supraphon }}


== Suhajira ==
== Suhajira ==
Subgroup: 2.3.7.11
{{See also| Archytas clan #Suhajira }}


Commas: 64/63, 243/242
Scales:  
 
* [[Suhajira7]] – 7-tone haplotonic scale
[[Tp_tuning|POL2 generator]]: ~11/9 = 353.958
* [[Suhajira10]] – 10-tone albitonic scale
 
* [[Suhajira17]] – 17-tone chromatic scale
[[Gencom|Gencom]]: [2 11/9; 64/63 243/242]
 
Gencom mapping: [&lt;1 1 0 4 2|, &lt;0 2 0 -4 5|]
 
Mapping: [&lt;1 1 4 2|, &lt;0 2 -4 5|]
 
EDOs: 7, 10, 17, 61de
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.968 cents
 
[[suhajira7|suhajira7]] - Seven note [[haplotonic_scale|haplotonic scale]]
 
[[suhajira10|suhajira10]] - Ten note [[albitonic_scale|albitonic scale]]
 
[[suhajira17|suhajira17]] - note [[chromatic_scale|chromatic scale]]
 
== Mohoho ==
Subgroup: 2.3.5.11.13
 
Commas: 66/65, 81/80, 121/120
 
[[Tp_tuning|POT2 generator]]: ~11/9 = 348.916
 
[[Gencom|Gencom]]: [2 11/9; 66/65 81/80 121/120]
 
Gencom mapping: [&lt;1 1 0 0 2 4|, &lt;0 2 8 0 5 -1|]
 
Mapping: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
 
EDOs: 17c, 24, 31, 55, 86de, 141cde
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.971 cents
 
== Supra ==
Subgroup: 2.3.7.11
 
Commas: 64/63, 99/98
 
Related temperament: [[Suprapyth|suprapyth]]
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 707.192
 
[[Gencom|Gencom]]: [2 3/2; 64/63 99/98]
 
Gencom mapping: [&lt;1 1 0 4 7|, &lt;0 1 0 -2 -6|]
 
Mapping: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]
 
EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.977 cents
 
[[File:supra_56edo.png|alt=supra_56edo.png|supra_56edo.png]]
 
[[supra7|Seven note albitonic scale]]
 
[[supra12|Twelve note chromatic scale]]


== Machine ==
== Machine ==
Subgroup: 2.9.7.11
{{See also| Subgroup temperaments #Machine}}
 
Commas: 64/63, 99/98
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 214.384
 
[[Gencom|Gencom]]: [2 9/8; 64/63 99/98]
 
Gencom mapping: [&lt;1 3/2 0 3 4|, &lt;0 1/2 0 -1 -3|]
 
Mapping: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]
 
EDOs: 5, 6, 11, 17, 28
 
[[Tp_tuning#T2 tuning|RMS error]]: 1.977 cents
 
[[File:machine_28edo.png|alt=machine_28edo.png|machine_28edo.png]]
 
[[machine5|Five note haplotonic scale]]


[[machine6|Six note albitonic scale]]
[[File:machine_28edo.png|right|alt=machine_28edo.png|Machine in 28edo]]


[[machine11|Eleven note chromatic scale]]
Scales:
* [[Machine5]] – 5-tone haplotonic scale
* [[Machine6]] – 6-tone albitonic scale
* [[Machine11]] – 11-tone chromatic scale


== Deutone ==
== Deutone ==
Subgroup: 2.9.5.7.13
{{See also| Hemimean clan #Deutone }}
 
Commas: 65/64, 81/80, 91/90
 
Related temperament: [[Meantone_family|meanpop]]
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 191.059
 
[[Gencom|Gencom]]: [2 9/8; 65/64 81/80 91/90]
 
Gencom mapping: [&lt;1 3/2 2 2 0 4|, &lt;0 1/2 2 5 0 -2|]
 
Mapping: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]
 
EDOs: 6, 7, 13, 19, 25e, 44de
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.003 cents
 
[[File:deutone_44edo.png|alt=deutone_44edo.png|deutone_44edo.png]]
 
[[deutone6|Six note haplotonic scale]]
 
[[deutone7|seven note albitonic scale]]
 
[[deutone13|Thirteen note chromatic scale]]
 
== Supraphon ==
Subgroup: 2.3.7.11.13
 
Commas: 64/63, 78/77, 99/98
 
[[Tp_tuning|POT2 generator]]: ~3/2 = 706.137


[[Gencom|Gencom]]: [2 3/2; 64/63 78/77 99/98]
[[File:deutone_44edo.png|right|alt=deutone_44edo.png|Deutone in 44edo]]


Gencom mapping: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]
Scales:  
 
* [[Deutone6]] – 6-tone haplotonic scale
Mapping: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]
* [[Deutone7]] – 7-tone albitonic scale
 
* [[Deutone13]] – 13-tone chromatic scale
EDOs: 5, 7, 12, 17
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.095 cents


== Negra ==
== Negra ==
Subgroup: 2.3.5.7.13
{{Main| Negri }}
 
{{See also| Marvel temperaments #Negri }}
Commas: 49/48, 65/64, 91/90
 
Related temperament: [[Marvel_temperaments#Negri-13-limit|negri]]
 
[[Tp_tuning|POT2 generator]]: ~14/13~13/12 = 125.567 cents
 
[[Gencom|Gencom]]: [2 14/13;
 
Gencom mapping: [&lt;1 2 2 3 0 4|, &lt;0 -4 3 -2 0 -3|]
 
Mapping: [&lt;1 2 2 3 4|, &lt;0 -4 3 -2 -3|]
 
EDOs: 9, 10, 19, 29, 67cd*f, 86cd*f
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.147 cents


== Porkypine ==
== Porkypine ==
Subgroup: 2.3.5.11
{{Main| Porcupine }}
 
{{See also| Porcupine family #Porcupine }}
Commas: 55/54, 100/99
 
[[Tp_tuning|POT2 generator]]: ~10/9 = 164.078
 
[[Gencom|Gencom]]: [2 10/9; 55/54 100/99]
 
Gencom mapping: [&lt;1 2 3 0 4|], &lt;0 -3 -5 0 -4|]
 
Mapping: [&lt;1 2 3 4|, &lt;0 3 5 4|]
 
EDOs: 7, 15, 22, 73cd, 95cd, 117bcd, 256bcdd
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.287 cents
 
[[porkypine7|Seven note haplotonic scale]]
 
[[porkypine8|Eight note albitonic scale]]


[[porkypine15|Fifteen note chromatic scale]]
Scales:
* [[Porkypine7]] – 7-tone haplotonic scale
* [[Porkypine8]] – 8-tone albitonic scale
* [[Porkypine15]] – 15-tone chromatic scale


== Skateboard ==
== Skateboard ==
Subgroup: 2.5/3.7/3.11.13/9
{{See also| Subgroup temperaments #Skateboard }}


Commas: 56/55, 91/90, 100/99
Scales:  
 
* [[Skateboard7]] – 7-tone haplotonic scale
Related temperament: [[Starling_family#Thrasher-13-limit|thrasher]]
* [[Skateboard11]] – 11-tone albitonic scale
 
* [[Skateboard15]] – 15-tone chromatic scale
[[Tp_tuning|POT2 generator]]: ~6/5 = 313.842
 
[[Gencom|Gencom]]: [2 6/5; 56/55 91/90 100/99]
 
Gencom mapping: [&lt;1 -3/7 4/7 11/7 4 -6/7|, &lt;0 0 -1 -3 -2 2|]
 
Mapping: [&lt;1 0 -1 2 2|, &lt;0 1 3 2 -2|]
 
EDOs: 11, 15, 19, 23, 42d, 65d
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.396 cents
 
[[skateboard7|Seven note haplotonic scale]]
 
[[skateboard11|Eleven note albitonic scale]]
 
[[skateboard15|Fifteen note chromatic scale]]


== Augment ==
== Augment ==
Subgroup: 2.5.7.11
{{See also| No-threes subgroup temperaments #Augment }}
 
Commas: 56/55, 128/125
 
Related temperament: [[Augmented_family|augmented]]
 
[[Tp_tuning|POT2 generator]]: ~8/7 = 228.275
 
[[Gencom|Gencom]]: [5/4 8/7; 56/55 128/125]
 
Gencom mapping: [&lt;3 0 7 9 11|, &lt;0 0 0 -1 -1|]
 
Mapping: [&lt;3 7 0 2|, &lt;0 0 1 1|]
 
EDOs: 3, 6, 9, 15, 21
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.422 cents
 
[[File:augment_21edo.png|alt=augment_21edo.png|augment_21edo.png]]
 
[[augment6|Six note haplotonic scale]]


[[augment9|Nine note albitonic scale]]
[[File:augment_21edo.png|right|alt=augment_21edo.png|Augment in 21edo]]


[[augment12|Twelve note chromatic scale]]
Scales:
* [[Augment6]] – 6-tone haplotonic scale
* [[Augment9]] – 9-tone albitonic scale
* [[Augment12]] – 12-tone chromatic scale


== Semaphore ==
== Semaphore ==
Subgroup: 2.3.7
{{Main| Semaphore and godzilla }}
 
{{See also| Semaphoresmic clan #Semaphore }}
Comma: 49/48
 
[[Tp_tuning|POT2 generator]]: ~7/6 = 250.385
 
[[Gencom|Gencom]]: [2 7/6; 49/48]
 
Gencom mapping: [&lt;1 2 0 3}, &lt;0 -2 0 -1|]


Mapping: [&lt;1 0 2|, &lt;0 2 1|]
[[File:semaphore_24edo.png|right|alt=semaphore_24edo.png|Semaphore in 24edo]]


EDOs: 5, 9, 14, 19, 24, 67c, 91c
Scales:  
 
* [[Semaphore5]] – 5-tone haplotonic scale
[[Tp_tuning#T2 tuning|RMS error]]: 2.523 cents
* [[Semaphore9]] – 9-tone albitonic scale
 
* [[Semaphore14]] – 14-tone chromatic scale
[[File:semaphore_24edo.png|alt=semaphore_24edo.png|semaphore_24edo.png]]
 
[[semiphore5|Five note haplotonic scale]]
 
[[semiphore9|Nine note albitonic scale]]
 
[[semiphore14|Fourteen note chromatic scale]]


== Kryptonite ==
== Kryptonite ==
Subgroup: 2.5.7/3.11/3.13/3
{{See also| Subgroup temperaments #Kryptonite }}
 
Commas: 56/55, 78/77, 91/90
 
Related temperaments: [[Sengic_family|krypton]]
 
[[Tp_tuning|POT2 generator]]: ~13/12 = 132.428
 
[[Gencom|Gencom]]: [2 13/12; 56/55 78/77 91/90]
 
Gencom mapping: [&lt;1 -5/4 2 -1/4 3/4 3/4|, &lt;0 -1/2 3 3/2 -3/2 1/2|]
 
Mapping: [&lt;1 2 1 2 2|, &lt;0 -3 -2 1 -1|]
 
EDOs: 9, 63, 82bd, 91bde
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.545 cents
 
[[kryptonite9|Nine note albitonic scale]]
 
[[kryptonite10|Ten note albitonic scale]]


[[kryptonite19|Nineteen note mega chromatic scale]]
Scales:
* [[Kryptonite9]] – 9-tone albitonic scale
* [[Kryptonite10]] – 10-tone albitonic scale
* [[Kryptonite19]] – 19-tone mega-chromatic scale


== Oregon ==
== Oregon ==
Subgroup: 2.9.15.7.11
{{See also| Orgonia #Oregon }}
 
Commas: 55/54, 64/63, 100/99
 
[[Tp_tuning|POT2 generator]]: ~6/5 = 325.495
 
[[Gencom|Gencom]]: [2 6/5; 55/54 64/63 100/99]
 
Gencom mapping: [&lt;1 2 3 2 4|, &lt;0 -3/2 -5/2 3 -2|]
 
Mapping: [&lt;1 1 1 5 2|, &lt;0 3 4 -3 2|]
 
EDOs: 7, 11, 37b, 48b, 59b
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.550 cents
 
[[oregon7|Seven note haplotonic scale]]
 
[[oregon11|Eleven note albitonic scale]]


[[oregon15|Fifteen note chromatic scale]]
Scales:
* [[Oregon7]] – 7-tone haplotonic scale
* [[Oregon11]] – 11-tone albitonic scale
* [[Oregon15]] – 15-tone chromatic scale


== Antikythera ==
== Antikythera ==
Subgroup: 2.9.5.7
{{See also| Jubilismic clan #Antikythera }}
 
Commas: 50/49, 64/63
 
Related temperament: [[pajara|pajara]]
 
[[Tp_tuning|POT2 generator]]: ~8/7 = 214.095
 
[[Gencom|Gencom]]: [7/5 8/7; 50/49 64/63]
 
Gencom mapping: [&lt;2 3 5 6|, &lt;0 1/2 -1 -1|]
 
Mapping: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]
 
EDOS: 4, 6, 10, 16, 22, 28
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.572 cents
 
[[File:antikythera_28edo.png|alt=antikythera_28edo.png|antikythera_28edo.png]]


[[antikythera6|Six note haplotonic scale]]
[[File:antikythera_28edo.png|right|alt=antikythera_28edo.png|Antikythera in 28edo]]


[[antikythera10|Ten note albitonic scale]]
Scales:
 
* [[Antikythera6]] – 6-tone haplotonic scale
[[antikythera16|Sixteen note chromatic scale]]
* [[Antikythera10]] – 10-tone albitonic scale
* [[Antikythera16]] – 16-tone chromatic scale


== Glacial ==
== Glacial ==
Subgroup: 2.9.5.11.13
{{See also| Subgroup temperaments #Glacial }}
 
Commas: 45/44, 65/64, 81/80
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 186.151
 
[[Gencom|Gencom]]: [2 9/8; 45/44 65/64 81/80]
 
Gencom mapping: [&lt;1 3/2 2 0 3 4|, &lt;0 1/2 2 0 3 -2|]
 
Mapping: [&lt;1 0 -4 -6 10|, &lt;0 1 2 3 -2|]
 
EDOs: 6, 13, 45be, 58bce, 71bce, 84bce
 
[[Tp_tuning#T2 tuning|RMS error]]: 2.887 cents
 
[[glacial6|Six note haplotonic scale]]


[[glacial7|Seven note albitonic scale]]
Scales:
 
* [[Glacial6]] – 6-tone haplotonic scale
[[glacial13|Thirteen note chromatic scale]]
* [[Glacial7]] – 7-tone albitonic scale
* [[Glacial13]] – 13-tone chromatic scale


== Leantone ==
== Leantone ==
Subgroup: 2.9.5.7.11
{{See also| Hemimean clan #Leantone }}
 
Commas: 45/44, 56/55, 81/80
 
Related temperament: [[Meanenneadecal|meanenneadecal]]
 
[[Tp_tuning|POT2 generator]]: ~9/8 = 192.500
 
[[Gencom|Gencom]]: [2 9/8; 45/44 56/55 81/80]
 
Gencom mapping: [&lt;1 3/2 2 2 3|, &lt;0 1/2 2 5 3|]
 
Mapping: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]
 
EDOs: 6, 7, 13, 19, 25, 31, 56, 81


[[Tp_tuning#T2 tuning|RMS error]]: 3.882 cents
[[File:leantone_81edo.png|right|alt=leantone_81edo.png|Leantone in 81edo]]


[[File:leantone_81edo.png|alt=leantone_81edo.png|leantone_81edo.png]]
Scales:
* [[Leantone6]] – 6-tone haplotonic scale
* [[Leantone7]] – 7-tone albitonic scale
* [[Leantone13]] – 13-tone chromatic scale


* [[leantone6|Six note haplotonic scale]]
== Notes ==
* [[leantone7|Seven note albitonic scale]]
* [[leantone13|Thirteen note chromatic scale]]


[[Category:Theory]]
[[Category:Lists of scales]]
[[Category:Lists of temperaments]]
[[Category:Tempered scales| ]]
[[Category:Chromatic pairs| ]] <!-- main article -->
[[Category:Listen]]
[[Category:Listen]]
[[Category:Rank 2]]
[[Category:Rank 2]]
[[Category:Subgroup]]


{{todo|cleanup}}
{{todo|cleanup}}
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