View source for Chromatic pairs

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

== Definitions ==
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 ==
Subgroup: 2.9/5.9/7

Commas: 250047/250000

Sval name: 6&amp;21

Related temperament: [[Minortonic_family#Domain|domain]]

[[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 ==
Subgroup: 2.11/5.13/5

Comma: 2200/2197

Svalname: 3&amp;5

[[Tp_tuning|POT2 generator]]: ~13/10 = 455.012

[[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 ==
Subgroup: 2.5.11.13

Commas: 2200/2197, 6656/6655

Svalname: 11&amp;13

[[Tp_tuning|POT2 generator]]: ~11/8 = 551.699

Gencom: [2 11/8; 2200/2197 6656/6655]

Gencom mapping: [&lt;1 0 6 0 3 6|, &lt;0 0 -8 0 1 -5|]

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 ==
Subgroup: 2.7/5.11/5.13/5

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|]

Mapping: [&lt;1 2 0 1|, &lt;0 -4 3 1|]

EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c, 953bc

[[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 ==
Subgroup: 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]]

[[nestoria12|Twelve note chromatic scale]]

[[nestoria17|Seventeen note mega chromatic scale]]

== Orgone ==
Subgroup: 2.7.11

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]]

[[orgone15|Fifteen note mega chromatic scale]]

== Marveltwintri ==
Subgroup: 2.5/3.13/9

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]]

[[marveltwintri11|Eleven note chromatic scale]]

[[marveltwintri15|Fifteen note mega chromatic scale]]

== Cata ==
Subgroup: 2.3.5.13

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]]

[[cata15|Fifteen note chromatic scale]]

[[cata19|Nineteen note mega chromatic scale]]

== Bridgetown ==
Subgroup: 2.3.11/5.13/5

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]

Gencom mapping: [&lt;1 2 -5/3 0 4/3 1/3|, &lt;0 -2 4 0 -5 1|]

Mapping: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]

EDOs: 5, 9, 14, 19, 24, 29, 169, 198, 227, 256, 285, 314

[[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 ==
Subgroup: 2.3.7/5.11/5.13/5

Commas: 352/351, 676/675, 847/845

Related temperaments: [[Chromatic_pairs#Bridgetown|bridgetown]], [[Hemifamity_family#Namaka|namaka]], hemigari, barbados, parizekmic

[[Tp_tuning|POT2 generator]]: ~15/13 = 248.491

[[Gencom|Gencom]]: [2 15/13; 352/351 676/675 847/845]

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 ==
Subgroup: 2.3.11

Commas: 243/242

Svalname: 7&amp;17

[[Tp_tuning|POT2 generator]]: ~11/9 = 350.525

[[Gencom|Gencom]]: [2 11/9; 243/242]

Gencom mapping: [&lt;1 1 0 0 2|, &lt;0 2 0 0 5|]

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 ==
{{Main| Slendric }}
:''See also: [[Gamelismic clan #Slendric]] and [[No-fives subgroup temperaments #Slendric]]''

Subgroup: 2.3.7

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]]

== Huntington ==
Subgroup: 2.5.7.13

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|]

Mapping: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]

EDOs: 7, 10, 17, 27, 37, 84, 121, 279cd, 400cd

[[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 ==
Subgroup: 2.3.11.13/5

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]]

== Pepperoni ==
Subgroup: 2.3.11/7.13/7

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]]

[[pepperoni7|Seven note albitonic scale]]

[[pepperoni12|Twelve note chromatic scale]]

== Wizz ==
Subgroup: 2.5.11

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]]

== Bossier ==
Subgroup: 2.7.11.13

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

[[Tp_tuning|POT2 generator]]: ~9/7 = 438.465

[[Gencom|Gencom]]: [2 9/7; 896/891 26411/26244]

Gencom mapping: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]

Mapping: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]

EDOs: 8, 11, 30, 41, 52

[[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 ==
Subgroup: 2.11.13

Comma: 265837/262144

[[Tp_tuning|POT2 generator]]: ~143/128 = 182.368

Gencom: [2 143/128; 265837/262144]

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 ==
Subgroup: 2.5.9/7

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]

Gencom mapping: [&lt;1 2/5 2 -1/5|, &lt;0 -4/5 1 2/5|]

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 ==
Subgroup: 2.3.7/5.11/5.13/5

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]]

== Photia ==
Subgroup: 2.3.5.17.19

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|]

EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d

[[Tp_tuning#T2 tuning|RMS error]]: 0.5374 cents

[[File:photia_65edo.png|alt=photia_65edo.png|photia_65edo.png]]

[[photia7|Seven note albitonic scale]]

[[photia12|Twelve note chromatic scale]]

== Shoe ==
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 ==
Subgroup: 2.5.7.11.13

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]]

[[roulette19|roulette19]] - nineteen note [[mega_chromatic_scale|mega chromatic scale]]

== Silver ==
Subgroup: 2.5.7.13.17

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]]

[[silver10|silver10]] - ten note [[albitonic_scale|albitonic scale]]

[[silver17|silver17]] - seventeen note [[chromatic_scale|chromatic scale]]

== Baldy ==
Subgroup: 2.9.5.7.13

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]]

[[baldy11|baldy11]] - eleven note [[albitonic_scale|albitonic scale]]

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

== Guanyintet ==
Subgroup: 2.5.7/3.11/3

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|]

EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd

[[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 ==
Subgroup: 2.3.7.11

Commas: 896/891, 1029/1024

Sval name: 5&amp;36

Related temperament: [[Gamelismic_clan|Rodan]]

[[Tp_tuning|POT2 generator]]: ~8/7 = 234.381

[[Gencom|Gencom]]: [2 8/7; 896/891 1029/1024]

Gencom mapping: [&lt;1 1 0 3 6|, &lt;0 3 0 -1 -13|]

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 ==
Subgroup: 2.5/3.7/3.13/11

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|]

Mapping: [&lt;1 0 0 0|, &lt;0 3 5 1|]

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 ==
Subgroup: 2.3.11.13

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]]

[[namo17|Seventeen note chromatic scale]]

== Sentry ==
Subgroup: 2.5/3.9/7

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

[[sentry5|Five note haplotonic scale]]

[[sentry8|Eight note albitonic scale]]

[[sentry11|Eleven note note chromatic scale]]

== Hemif ==
Subgroup: 2.3.7.11.13

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]]

[[hemif10|Ten note albitonic scale]]

[[hemif17|Seventeen note chromatic scale]]

== Garibaldi ==
Subgroup: 2.3.5.7

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:mabila_66edo.jpg|alt=mabila_66edo.jpg|mabila_66edo.jpg]]

[[mabila7|Seven note haplotonic scale]]

[[mabila9|Nine note albitonic scale]]

[[mabila16|Sixteen note chromatic scale]]

== Indium ==
Subgroup: 2.5/3.7/3.11/3

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]]

[[indium17|Seventeen note chromatic scale]]

=== 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]

== Starlingtet ==
Subgroup: 2.5/3.7/3

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]]

== Lovecraft ==
Subgroup: 2.11.13

Commas: 1352/1331

[[Tp_tuning|POT2 generator]]: ~13/11 = 279.318

[[Gencom|Gencom]]: [2 13/11; 1352/1331]

Gencom mapping: [&lt;1 0 0 0 3 3|, &lt;0 0 0 0 2 3|]

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 ==
Subgroup: 2.11.13

Comma: 29282/28561

[[Tp_tuning|POT2 generator]]: ~11/8 = 546.660

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 ==
Subgroup: 2.5.7/3.11/3.13/3

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]

Gencom mapping: [&lt;1 -5/4 3 -1/4 7/4 -1/4|, &lt;0 -1/4 -3 3/4 -21/4 19/4|]

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 ==
Subgroup: 2.3.5.7

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]]

[[myna15|Fifteen note chromatic scale]]

== Greeley ==
Subgroup: 2.5/3.7/3.11/3

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|alt=greeley_100edo.png|greeley_100edo.png]]

[[greeley8|Eight note albitonic scale]]

[[greeley15|Fifteen note chromatic scale]]

=== Music ===
<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 ==
Subgroup: 2.5/3.7/3.11/3.13/3

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 ==
Subgroup: 2.7/3.11

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]]

[[mothwelltri13|Thirteen note chromatic scale]]

== Sulis ==
Subgroup: 2.5.9/7.11/9

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]]

== Skwares ==
Subgroup: 2.3.7.11

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]]

[[skwares14|Fourteen note chromatic scale]]

== Orwell ==
Group: 2.3.5.7.11

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]]

[[orwell13|Thirteen note chromatic scale]]

== Magicaltet ==
Group: 2.5/3.7.11

Commas: 100/99, 385/384

Related temperaments: 4&amp;7&amp;15, superkleismic, magic

[[Tp_tuning|POT2 generator]]: ~6/5 = 322.659

[[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 ==
Group: 2.3.5.7.11

Commas: 100/99, 225/224, 245/243

Val name: 19&amp;22

[[Tp_tuning|POT2 generator]]: ~5/4 = 380.696

[[Gencom|Gencom]]: [2 5/4; 100/99 225/224 245/243]

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 ==
Subgroup: 2.9/5.7/3.11/9

Commas: 100/99, 245/242

Related temperament: [[Octagar_family|nakika]], octacot

[[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 ==
Subgroup: 2.7.11.13

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 ==
Group: 2.3.5.7.13

Commas: 91/90, 126/125, 169/168

Related temperaments: Sensi, Sensis, Sensus

[[Tp_tuning|POT2 generator]]: ~9/7 = 443.322

[[Gencom|Gencom]]: [2 9/7; 91/90 126/125 169/168]

Gencom mapping: [&lt;1 -1 -1 -2 0 0|, &lt;0 7 9 13 0 10|]

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 ==
Group: 2.3.5.7

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]]

[[sensi8|Eight note albitonic scale]]

[[sensi11|Eleven note mega albitonic scale]]

[[sensi19|Nineteen note chromatic scale]]

== Meantone ==
Group: 2.3.5.7

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]]

[[meantone7|Seven note albitonic scale]]

[[meantone12|Twelve note chromatic scale]]

== Mohaha ==
Subgroup: 2.3.5.11

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]]

[[mohaha7|Seven note albitonic scale]]

[[mohaha10|Ten note chromatic scale]]

=== Music ===
[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 Mohaha10ping2] by [[Billy_Stiltner|Billy Stiltner]]

== Joan ==
Subgroup: 2.9.7.11

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]]

== Tutone ==
Subgroup: 2.9.5.7.11

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

[[Tp_tuning#T2 tuning|RMS error]]: 1.439 cents

[[tutone6|Six note haplotonic scale]]

[[tutone7|Seven note albitonic scale]]

[[tutone13|Thirteen note chromatic scale]]

[[File:tutone_99edo.png|alt=tutone_99edo.png|tutone_99edo.png]]

== Stacks ==
Subgroup: 2.9.15.7.11.13

Commas: 100/99, 105/104, 144/143, 196/195

Related temperament: [[Magic_family#Magic-13-limit|magic]]

Svalname: 11&amp;30

[[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 ==
Group: 2.3.7.11.13

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|]

Mapping: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]

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 ==
Subgroup: 2.5.11.13.17

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]]

[[sephiroth16|Sixteen note mega chromatic scale]]

== Archy ==
Subgroup: 2.3.7

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

[[Tp_tuning#T2 tuning|RMS error]]: 1.856 cents

[[archy5|Five note haplotonic scale]]

[[archy7|Seven note albitonic scale]]

[[archy12|Twelve note chromatic scale]]

== Suhajira ==
Subgroup: 2.3.7.11

Commas: 64/63, 243/242

[[Tp_tuning|POL2 generator]]: ~11/9 = 353.958

[[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 ==
Subgroup: 2.9.7.11

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]]

[[machine11|Eleven note chromatic scale]]

== Deutone ==
Subgroup: 2.9.5.7.13

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]

Gencom mapping: [&lt;1 1 0 4 7 9|, &lt;0 1 0 -2 -6 -9|]

Mapping: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]

EDOs: 5, 7, 12, 17

[[Tp_tuning#T2 tuning|RMS error]]: 2.095 cents

== Negra ==
Subgroup: 2.3.5.7.13

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 ==
Subgroup: 2.3.5.11

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]]

== Skateboard ==
Subgroup: 2.5/3.7/3.11.13/9

Commas: 56/55, 91/90, 100/99

Related temperament: [[Starling_family#Thrasher-13-limit|thrasher]]

[[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 ==
Subgroup: 2.5.7.11

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]]

[[augment12|Twelve note chromatic scale]]

== Semaphore ==
Subgroup: 2.3.7

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|]

EDOs: 5, 9, 14, 19, 24, 67c, 91c

[[Tp_tuning#T2 tuning|RMS error]]: 2.523 cents

[[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 ==
Subgroup: 2.5.7/3.11/3.13/3

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]]

== Oregon ==
Subgroup: 2.9.15.7.11

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]]

== Antikythera ==
Subgroup: 2.9.5.7

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]]

[[antikythera10|Ten note albitonic scale]]

[[antikythera16|Sixteen note chromatic scale]]

== Glacial ==
Subgroup: 2.9.5.11.13

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]]

[[glacial13|Thirteen note chromatic scale]]

== Leantone ==
Subgroup: 2.9.5.7.11

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|alt=leantone_81edo.png|leantone_81edo.png]]

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

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

{{todo|cleanup}}