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Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on [[Chromatic pairs]].
Below are some subgroups and temperaments for them. Obviously, no attempt has been made at completeness; attention is focused on subgroups containing interesting chords. The reader may also want to consult the page on [[Chromatic pairs]].


=2.3.7=
= 2.3.5.11 subgroup =


==[[Semaphore_and_Godzilla|Semaphore]]==
== Porkypine ==
Comma: 49/48
Subgroup: 2.3.5.11


[[Lp_tuning|POL2 generator]]: ~15/13= 250.385
[[Comma list]]: 55/54, 100/99


[[Gencom]]: [2 8/7; 49/48]
[[Gencom]]: [2 10/9; 55/54, 100/99]


Gencom mapping: [<1 2 0 3|, <0 -2 0 -1|]
[[Gencom|Gencom mapping]]: [{{val|1 2 3 0 4}}, {{val|0 -3 -5 0 -4}}]


Map: [<1 2 3|, <0 -2 -1|]
[[Mapping|Sval mapping]]: [{{val|1 2 3 4}}, {{val|0 -3 -5 -4}}]


EDOs: 5, 14, 19, 24, 67c, 91c
[[Tp tuning|POL2 generator]]: ~11/10 = 164.078


[[Tp_tuning#T2 tuning|RMS error]]: 2.523 cents
{{Val list|legend=1| 7, 15, 22, 37, 73cd, 95cd, 117bcd ]}


==Archy==
[[Tp tuning #T2 tuning|RMS error]]: 2.287 cents
Archy (properly pronounced "arky", after the Greek theorist Archytas) can be thought of as "no-5's [[dominant]]" or "no-5's [[superpyth]]". The name comes from the fact that it tempers out 64/63, the Archytas comma.


Comma: 64/63
== Mohaha ==
Subgroup: 2.3.5.11


[[Lp_tuning|POL2 generator]]: ~3/2 = 709.321
[[Comma list]]: 81/80, 121/120


Gencom: [2 3/2; 64/63]
[[Gencom]]: [2 11/9; 81/80 121/120]


Gencom mapping: [<1 1 0 4|, <0 1 0 -2|]
[[Gencom|Gencom mapping]]: [{{val|1 1 0 0 2}}, {{val|0 2 8 0 5}}]


Map: [<1 2 2|, <0 -1 2|]
[[Mapping|Sval mapping]]: [{{val|1 1 0 2}}, {{val|0 2 8 5}}]


EDOs: 5, 12, 17, 22, 27, 137bc
[[Tp tuning|POL2 generator]]: ~11/9 = 348.094


[[Tp_tuning#T2 tuning|RMS error]]: 1.856 cents
{{Val list|legend=1| 7, 10, 17, 24, 31, 55, 69d, 100d, 131bd }}


==[[Slendric]]==
[[Tp tuning #T2 tuning|RMS error]]: 1.392 cents
Comma: 1029/1024


[[Lp_tuning|POL2 generator]]: ~8/7 = 233.688
===Music===
[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 Mohaha10ping2] by [[Billy Stiltner]]


Gencom: [2 8/7; 1029/1024]
== Larry ==
Subgroup: 2.3.5.11


Gencom mapping: [<1 1 0 3|, <0 3 0 -1|]
[[Comma list]]: 243/242, 4000/3993


Map: [<1 1 3|, <0 3 -1|]
Related temperaments: [[Gravity family|gravity]], [[Gravity family #Harry|harry]]


EDOs: 5, 21, 26, 31, 36, 77, 113, 190
[[Gencom]]: [2 40/27; 243/242 4000/3993]


[[Tp_tuning#T2 tuning|RMS error]]: 0.3202 cents
[[Gencom|Gencom mapping]]: [<1 5 12 0 12|, <0 -6 -17 0 -15|]


==Lee==
[[Mapping|Sval mapping]]: [<1 5 12 12|, <0 -6 -17 -15|]
Comma: 177147/175616


[[Lp_tuning|POL2 generator]]: ~13/9 = 633.525
[[Tp tuning|POL2 generator]]: ~40/27 = 683.166


Map: [<1 0 -3|, <0 3 11|]
{{Val list|legend=1| 7, 58, 65, 137, 202 }}


EDOs: 17, 36, 89, 125, 161, 358, 519b
[[Tp tuning #T2 tuning|RMS error]]: 0.3025 cents


[[Tp_tuning#T2 tuning|RMS error]]: 0.3519 cents
= 2.3.7 subgroup =


==Skwares==
==[[Semaphore and Godzilla|Semaphore]]==
Comma: 19683/19208
Subgroup: 2.3.7


[[Lp_tuning|POL2 generator]]: ~23/18 = 425.365 cents
[[Comma]]: 49/48


Map: [<1 3 6|, <0 -4 -9|]
[[Gencom]]: [2 8/7; 49/48]


EDOs: 14, 17, 31, 48, 79, 189b, 268bc, 347bc
[[Gencom|Gencom mapping]]: [{{val|1 2 0 3}}, {{val|0 -2 0 -1}}]


[[Tp_tuning#T2 tuning|RMS error]]: 1.149 cents
[[Mapping|Sval mapping]]: [{{val|1 2 3}}, {{val|0 -2 -1}}]


=2.3.11=
[[Tp tuning|POL2 generator]]: ~7/6 = 250.385


==Neutral==
{{Val list|legend=1| 5, 14, 19, 24, 67c, 91c }}
Neutral can be thought of as the 2.3.11 version of either [[mohajira]] or [[maqamic]], as well as suhajira (further down on this page) and ringo. Among other things, it is the temperament optimizing the [[neutral tetrad]].


Comma: 243/242
[[Tp tuning# T2 tuning|RMS error]]: 2.523 cents


[[Lp_tuning|POL2 generator]]: ~11/9 = 350.525
== Archy ==
Archy (properly pronounced "arky", after the Greek theorist Archytas) can be thought of as "no-fives [[dominant]]" or "no-fives [[superpyth]]". The name comes from the fact that it tempers out 64/63, the Archytas comma.


Gencom: [2 11/9; 243/242]
Subgroup: 2.3.7


Gencom mapping: [<1 1 0 0 2|, <0 2 0 0 5|]
[[Comma]]: 64/63


Map: [<1 1 2|, <0 2 5|]
[[Gencom]]: [2 3/2; 64/63]


EDOs: 7, 10, 17, 24, 41, 65, 89, 202, 291, 380
[[Gencom|Gencom mapping]]: [{{val|1 1 0 4}}, {{val|0 1 0 -2}}]


[[Tp_tuning#T2 tuning|RMS error]]: 0.3021 cents
[[Mapping|Sval mapping]]: [{{val|1 2 2}}, {{val|0 -1 2}}]


[[neutraltet7|Seven note albitonic scale]]
[[Tp tuning|POL2 generator]]: ~3/2 = 709.321


[[neutraltet10|Ten note chromatic scale]]
{{Val list|legend=1| 5, 12, 17, 22, 27, 137bc }}


[[neutraltet17|Seventeen note mega chromatic scale]]
[[Tp tuning #T2 tuning|RMS error]]: 1.856 cents


=2.3.5.11=
==[[Slendric]]==
Subgroup: 2.3.7


==Porkypine==
[[Comma]]: 1029/1024
Commas: 55/54, 100/99


[[Lp_tuning|POL2 generator]]: ~11/10 = 164.078
[[Gencom]]: [2 8/7; 1029/1024]


Gencom: [2 10/9; 55/54, 100/99]
[[Gencom|Gencom mapping]]: [{{val|1 1 0 3}}, {{val|0 3 0 -1}}]


Gencom mapping: [<1 2 3 0 4|, <0 -3 -5 0 -4|]
[[Mapping|Sval mapping]]: [{{val|1 1 3}}, {{val|0 3 -1}}]


Map: [<1 2 3 4|, <0 -3 -5 -4|]
[[Tp tuning|POL2 generator]]: ~8/7 = 233.688


EDOs: 7, 15, 22, 37, 73cd, 95cd, 117bcd
{{Val list|legend=1| 5, 21, 26, 31, 36, 77, 113, 190 }}


[[Tp_tuning#T2 tuning|RMS error]]: 2.287 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.3202 cents


==Mohaha==
== Lee ==
Commas: 81/80, 121/120
Subgroup: 2.3.7


[[Lp_tuning|POL2 generator]]: ~11/9 = 348.094
[[Comma]]: 177147/175616


Gencom: [2 11/9; 81/80 121/120]
[[Gencom]]: [2 81/56; 177147/175616]


Gencom mapping: [<1 1 0 0 2|, <0 2 8 0 5|]
[[Gencom|Gencom mapping]]: [{{val|1 0 0 -3}}, {{val|0 3 0 11}}]


Map: [<1 1 0 2|, <0 2 8 5|]
[[Mapping|Sval mapping]]: [{{val|1 0 -3}}, {{val|0 3 11}}]


EDOs: 7, 10, 17, 24, 31, 55, 69d, 100d, 131bd
[[Tp tuning|POL2 generator]]: ~81/56 = 633.525


[[Tp_tuning#T2 tuning|RMS error]]: 1.392 cents
{{Val list|legend=1| 17, 36, 89, 125, 161, 358, 519b }}


===Music===
[[Tp tuning #T2 tuning|RMS error]]: 0.3519 cents
[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3 Mohaha10ping2] by [[Billy Stiltner]]


==Larry==
== Skwares ==
Commas: 243/242, 4000/3993
Subgroup: 2.3.7


Related temperaments: [[Gravity_family#Gravity|gravity]], [[Gravity_family#Harry|harry]]
[[Comma]]: 19683/19208


POTE generator: ~40/27 = 683.166
[[Gencom]]: [2 9/7; 19683/19208]


Gencom: [2 40/27; 243/242 4000/3993]
[[Gencom|Gencom mapping]]: [{{val|1 3 6}}, {{val|0 -4 -9}}]


Gencom mapping: [<1 5 12 0 12|, <0 -6 -17 0 -15|]
[[Mapping|Sval mapping]]: [{{val|1 3 6}}, {{val|0 -4 -9}}]


Map: [<1 5 12 12|, <0 -6 -17 -15|]
[[Tp tuning|POL2 generator]]: ~9/7 = 425.365 cents


EDOs: 7, 58, 65, 137, 202
{{Val list|legend=1| 14, 17, 31, 48, 79, 189b, 268bc, 347bc }}


[[Tp_tuning#T2 tuning|RMS error]]: 0.3025 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.149 cents


= 2.3.7.11 =
= 2.3.7.11 subgroup =


== Ennea ==
== Ennea ==
Subgroup: 2.3.7.11
[[Comma list]]: 41503/41472, 43923/43904
[[Comma list]]: 41503/41472, 43923/43904
[[Lp_tuning|POL2 generator]]: ~99/98 = 17.6258


[[Gencom]]: [2 99/98; 41503/41472, 43923/43904]
[[Gencom]]: [2 99/98; 41503/41472, 43923/43904]
Line 162: Line 161:
[[Gencom|Gencom mapping]]: [{{val|1 14/9 0 25/9 31/9}}, {{val|0 2 0 2 1}}]
[[Gencom|Gencom mapping]]: [{{val|1 14/9 0 25/9 31/9}}, {{val|0 2 0 2 1}}]


[[Mapping|Sval map]]: [{{val|9 0 11 24}}, {{val|0 2 2 1}}]
[[Mapping|Sval mapping]]: [{{val|9 0 11 24}}, {{val|0 2 2 1}}]
 
[[Tp tuning|POL2 generator]]: ~99/98 = 17.6258


{{Val list|legend=1| 54, 63, 72, 135, 342, 477, 1089, 1566 }}
{{Val list|legend=1| 54, 63, 72, 135, 342, 477, 1089, 1566 }}


[[Tp_tuning#T2 tuning|RMS error]]: 0.0383 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.0383 cents


== Supra ==
== Supra ==
Subgroup: 2.3.7.11
[[Comma list]]: 64/63, 99/98
[[Comma list]]: 64/63, 99/98
[[POTE_tuning|POTE generator]]: ~3/2 = 707.192


[[Gencom]]: [2 3/2; 64/63 99/98]
[[Gencom]]: [2 3/2; 64/63 99/98]
Line 177: Line 178:
[[Gencom|Gencom mapping]]: [{{val|1 1 0 4 7}}, {{val|0 1 0 -2 -6}}]
[[Gencom|Gencom mapping]]: [{{val|1 1 0 4 7}}, {{val|0 1 0 -2 -6}}]


[[Mapping|Sval map]]: [{{val|1 0 6 13}}, {{val|0 1 -2 -6}}]
[[Mapping|Sval mapping]]: [{{val|1 0 6 13}}, {{val|0 1 -2 -6}}]
 
[[Tp tuning|POL2 generator]]: ~3/2 = 707.192


{{Val list|legend=1| 5, 12, 17, 39c, 56c }}
{{Val list|legend=1| 5, 12, 17, 39c, 56c }}


[[Tp_tuning#T2 tuning|RMS error]]: 1.977 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.977 cents


== Skwares ==
== Skwares ==
Subgroup: 2.3.7.11
[[Comma list]]: 99/98, 243/242
[[Comma list]]: 99/98, 243/242
[[POTE_tuning|POTE generator]]: ~23/18 = 425.244


[[Gencom]]: [2 9/7; 99/98 243/242]
[[Gencom]]: [2 9/7; 99/98 243/242]
Line 192: Line 195:
[[Gencom|Gencom mapping]]: [{{val|1 3 0 6 7}}, {{val|0 -4 0 -9 -10}}]
[[Gencom|Gencom mapping]]: [{{val|1 3 0 6 7}}, {{val|0 -4 0 -9 -10}}]


[[Mapping|Sval map]]: [{{val|1 3 6 7}}, {{val|0 -4 -9 -10}}]
[[Mapping|Sval mapping]]: [{{val|1 3 6 7}}, {{val|0 -4 -9 -10}}]
 
[[Tp tuning|POL2 generator]]: ~23/18 = 425.244


{{Val list|legend=1| 14, 17, 31, 48, 79, 127, 206bcd }}
{{Val list|legend=1| 14, 17, 31, 48, 79, 127, 206bcd }}


[[Tp_tuning#T2 tuning|RMS error]]: 1.099 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.099 cents


== Hemif ==
== Hemif ==
Subgroup: 2.3.7.11
[[Comma list]]: 243/242, 896/891
[[Comma list]]: 243/242, 896/891
[[POTE generator]]: ~11/9 = 351.535


[[Gencom]]: [2 11/9; 243/242 896/891]
[[Gencom]]: [2 11/9; 243/242 896/891]
Line 207: Line 212:
[[Gencom|Gencom mapping]]: [{{val|1 1 0 -1 2}}, {{val|0 2 0 13 5}}]
[[Gencom|Gencom mapping]]: [{{val|1 1 0 -1 2}}, {{val|0 2 0 13 5}}]


[[Mapping|Sval map]]: [{{val|1 1 -1 2}}, {{val|0 2 13 5}}]
[[Mapping|Sval mapping]]: [{{val|1 1 -1 2}}, {{val|0 2 13 5}}]
 
[[Tp tuning|POL2 generator]]: ~11/9 = 351.535


{{Val list|legend=1| 7, 17, 41, 58, 99d }}
{{Val list|legend=1| 7, 17, 41, 58, 99d }}


[[Tp_tuning#T2 tuning|RMS error]]: 0.6108 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.6108 cents


== Bleu ==
== Bleu ==
Subgroup: 2.3.7.11
[[Comma list]]: 99/98, 864/847
[[Comma list]]: 99/98, 864/847
[[POTE generator]]: ~12/11 = 140.005


[[Gencom]]: [2 12/11; 99/98 864/847]
[[Gencom]]: [2 12/11; 99/98 864/847]
Line 222: Line 229:
[[Gencom|Gencom mapping]]: [{{val|1 1 0 2 3}}, {{val|0 5 0 7 4}}]
[[Gencom|Gencom mapping]]: [{{val|1 1 0 2 3}}, {{val|0 5 0 7 4}}]


[[Mapping|Sval Map]]: [{{val|1 1 2 3}}, {{val|0 5 7 4}}]
[[Mapping|Sval mapping]]: [{{val|1 1 2 3}}, {{val|0 5 7 4}}]
 
[[Tp tuning|POL2 generator]]: ~12/11 = 140.005


{{Val list| 9, 17, 43, 60c }}
{{Val list| 9, 17, 43, 60c }}


[[Tp_tuning#T2 tuning|RMS error]]: 1.829 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.829 cents


=2.3.7.11.13=
= 2.3.7.11.13 subgroup =


==Suhajira==
== Suhajira ==
Commas: 64/63, 78/77, 144/143
[[Comma list]]: 64/63, 78/77, 144/143


[[Gencom]]: [2 11/9; 64/63 78/77 144/143]
[[Gencom]]: [2 11/9; 64/63 78/77 144/143]


Gencom map: [<1 1 0 4 2 4|, <0 2 0 -4 5 -1|]
[[Gencom|Gencom mapping]]: [{{val|1 1 0 4 2 4}}, {{val|0 2 0 -4 5 -1}}]


[[Tp_tuning|POT2 generator]]: ~11/9 = 353.775
[[Mapping|Sval mapping]]: [{{val|1 1 4 2 4}}, {{val|0 2 -4 5 -1}}]


Map: [<1 1 4 2 4|, <0 2 -4 5 -1|]
[[Tp tuning|POL2 generator]]: ~11/9 = 353.775


EDOs: 7, 10, 17, 44d, 61cd, 78cd
{{Val list|legend=1| 7, 10, 17, 44d, 61cd, 78cd }}


[[Tp_tuning#T2 tuning|RMS error]]: 1.953 cents
[[Tp tuning #T2 tuning|RMS error]]: 1.953 cents


==Hemif==
== Hemif ==
Commas: 144/143, 243/242, 364/363
[[Comma list]]: 144/143, 243/242, 364/363


Related temperament: [[Breedsmic_temperaments|Hemififths]], namo
Related temperament: [[Breedsmic_temperaments|Hemififths]], namo


[[Tp_tuning|POT2 generator]]: ~11/9 = 351.691
[[Gencom]]: [2 11/9; 144/143 243/242 364/363]
 
[[Gencom|Gencom mapping]]: [{{val|1 1 0 -1 2 4}}, {{val|0 2 0 13 5 -1}}]


[[Gencom]]: [2 11/9; 144/143 243/242 364/363]
[[Mapping|Sval mapping]]: [{{val|1 1 -1 2 4}}, {{val|0 2 13 5 -1}}]
 
[[Tp tuning|POL2 generator]]: ~11/9 = 351.691
 
{{Val list|legend=1| 7, 10, 17, 24, 41, 58 }}
 
[[Tp tuning #T2 tuning|RMS error]]: 0.7167 cents


Gencom map: [<1 1 0 -1 2 4|, <0 2 0 13 5 -1|]
== Skwares ==
[[Comma list]]: 78/77, 99/98, 243/242


Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
[[Gencom]]: [2 9/7; 78/77, 99/98, 243/242]


EDOs: 7, 10, 17, 24, 41, 58
[[Gencom|Gencom mapping]]: [{{val|1 3 0 6 7 9}, {{val|0 -4 0 -9 -10 -15}}]


[[Tp_tuning#T2 tuning|RMS error]]: 0.7167 cents
[[Mapping|Sval mapping]]: [{{val|1 3 6 7 9}, {{val|0 -4 -9 -10 -15}}]


==Skwares==
[[Tp tuning|POL2 generator]]: ~9/7 = 424.457
Commas: 78/77, 99/98, 243/242


[[Tp_tuning|POT2 generator]]: ~23/18 = 424.457
{{Val list|legend=1| 17, 48e, 65de, 82c, 147ce }}


Map: [<1 3 6 7 9|, <0 -4 -9 -10 -15|]
[[Tp tuning #T2 tuning|RMS error]]: 1.769 cents


EDOs: 17, 48e, 65de, 82c, 147ce
== Leapfrog ==
{{see also|Gentle region}}


[[Tp_tuning#T2 tuning|RMS error]]: 1.769 cents
[[Comma list]]: 169/168, 352/351, 364/363


==Leapfrog==
[[Gencom]]: [2 3/2; 169/169 352/351 364/363]
:''See also: [[Gentle region]]''
Commas: 169/168, 352/351, 364/363


[[Lp_tuning|POL2 generator]]: ~3/2 = 704.745 cents
[[Gencom|Gencom mapping]]: [{{val|1 1 0 -6 -3 -1}}, {{val|0 1 0 15 11 8}}]


Gencom: [2 3/2; 169/169 352/351 364/363]
[[Mapping|Sval mapping]]: [{{val|1 0 -21 -14 -9}}, {{val|0 1 15 11 8}}]


Gencom mapping: [<1 1 0 -6 -3 -1|, <0 1 0 15 11 8|]
[[Tp tuning|POL2 generator]]: ~3/2 = 704.745 cents


Sval map: [<1 0 -21 -14 -9|, <0 1 15 11 8|]
{{Val list|legend=1| 17, 46, 63 }}


EDOs: 17, 46, 63
[[Tp tuning #T2 tuning|RMS error]]: 0.7541 cents


[[Tp_tuning#T2 tuning|RMS error]]: 0.7541 cents
===Music===
===Music===
*Suite for Harpsichord in A Locrian, tuning: Eb-G# in [[46edo]] by [[User:IlL|IlL]] (in progress):
*Suite for Harpsichord in A Locrian, tuning: Eb-G# in [[46edo]] by [[User:IlL|IlL]] (in progress):
**I. Prelude
**I. Prelude
Line 299: Line 313:
**[[:File:Locrian Suite Gigue.mp3|VII. Gigue]]
**[[:File:Locrian Suite Gigue.mp3|VII. Gigue]]


==Bleu==
== Bleu ==
Group: 2.3.7.11.13
Subgroup: 2.3.7.11.13
 
[[Comma list]]: 78/77, 99/98, 144/143
 
[[Gencom]]: [2 13/12; 78/77 99/98 144/143]
 
[[Gencom|Gencom mapping]]: [{{val|1 1 0 2 3 3}}, {{val|0 5 0 7 4 6}}]
 
[[Mapping|Sval mapping]]: [{{val|1 1 2 3 3}}, {{val|0 5 7 4 6}}]
 
[[Tp tuning|POL2 generator]]: ~13/12 = 139.990
 
{{Val list|legend=1| 17, 43, 60c }}
 
[[Tp tuning #T2 tuning|RMS error]]: 1.752 cents
 
== Parapyth (Rank 3) ==
[[Comma list]]: 352/351, 364/363
 
The gencom below gives [[Margo Schulter]]'s favored basis
 
[[Gencom]]: [2 3/2 28/27; 352/351 364/363]


Commas: 78/77, 99/98, 144/143
[[Gencom|Gencom mapping]]: [<1 1 0 1 4 6|, <0 1 0 3 -1 -4|, <0 0 0 1 1 1|]


Sval name: 9&17
[[Mapping|Sval mapping]]: [<1 0 0 7 12|, <0 1 0 -4 -7|, <0 0 1 1 1|]


[[Tp_tuning|POL2 generator]]: ~13/12 = 139.990
[[Tp tuning|POL2 tuning]]: ~3 = 1903.856, ~7 = 3369.907


[[Gencom]]: [2 13/12; 78/77 99/98 144/143]
{{Val list|legend=1| 17, 41, 46, 58, 87, 104 }}


Gencom map: [<1 1 0 2 3 3|, <0 5 0 7 4 6|]
[[Tp tuning #T2 tuning|RMS error]]: 0.3789 cents


Map: [<1 1 2 3 3|, <0 5 7 4 6|]
= 2.3.11 subgroup =


EDOs: [[17edo|17]], [[43edo|43]], [[60edo|60c]]
== Neutral ==
Neutral can be thought of as the 2.3.11 version of either [[mohajira]] or [[maqamic]], as well as suhajira and ringo. Among other things, it is the temperament optimizing the [[neutral tetrad]].


[[Tp_tuning#T2 tuning|RMS error]]: 1.752 cents
[[Comma]]: 243/242


==Parapyth (Rank 3)==
[[Gencom]]: [2 11/9; 243/242]
Commas: 352/351, 364/363


[[Lp_tuning|POL2 tuning]]: <1200.000 1903.856 (2787.774) 3369.907 4154.482 4442.913|
[[Gencom|Gencom mapping]]: [<1 1 0 0 2|, <0 2 0 0 5|]


The gencom below gives [[Margo Schulter]]'s favored basis
[[Mapping|Sval mapping]]: [<1 1 2|, <0 2 5|]


Gencom: [2 3/2 28/27; 352/351 364/363]
[[Lp tuning|POL2 generator]]: ~11/9 = 350.525


Gencom mapping: [<1 1 0 1 4 6|, <0 1 0 3 -1 -4|, <0 0 0 1 1 1|]
{{Val list|legend=1| 7, 10, 17, 24, 41, 65, 89, 202, 291, 380 }}


Sval map: [<1 0 0 7 12|, <0 1 0 -4 -7|, <0 0 1 1 1|]
[[Tp tuning#T2 tuning|RMS error]]: 0.3021 cents


EDOs: 17, 41, 46, 58, 87, 104
[[neutraltet7|Seven note albitonic scale]]


[[Tp_tuning#T2 tuning|RMS error]]: 0.3789 cents
[[neutraltet10|Ten note chromatic scale]]
 
[[neutraltet17|Seventeen note mega chromatic scale]]


=2.9.7.11=
= 2.9.7.11 subgroup =


==Machine==
==Machine==
Line 382: Line 419:
[[Tp_tuning#T2 tuning|RMS error]]: 0.4262 cents
[[Tp_tuning#T2 tuning|RMS error]]: 0.4262 cents


=2.9.15.7.11.13=
= 2.9.15.7.11.13 subgroup =


==Stacks (aka 2magic)==
==Stacks (aka 2magic)==
Line 429: Line 466:
[[Tp_tuning#T2 tuning|RMS error]]: 1.074 cents
[[Tp_tuning#T2 tuning|RMS error]]: 1.074 cents


=2.9.21=
= 2.9.21 subgroup =


==A-team==
==A-team==
Line 446: Line 483:
[[Tp_tuning#T2 tuning|RMS error]]: 0.3202 cents
[[Tp_tuning#T2 tuning|RMS error]]: 0.3202 cents


=2.3.7/5.11/5.13/5=
= 2.3.7/5.11/5.13/5 subgroup =


==Historical==
==Historical==
Line 465: Line 502:
[[Tp_tuning#T2 tuning|RMS error]]: 0.2562 cents
[[Tp_tuning#T2 tuning|RMS error]]: 0.2562 cents


=2.3.7.11/5.13=
= 2.3.7.11/5.13 subgroup =


==Hypnosis==
==Hypnosis==
Line 484: Line 521:
[[Tp_tuning#T2 tuning|RMS error]]: 0.5379 cents
[[Tp_tuning#T2 tuning|RMS error]]: 0.5379 cents


=2.5.7=
= 2.5.7 subgroup =


==Didacus==
==Didacus==
Retrieved from "https://en.xen.wiki/w/Subgroup_temperaments"