User:FilterNashi/Temperaments and tuning methods

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peninsula and bandao

7378945280/7341576489 is called the peninsula comma, it's the difference between a stack of 8 14/13s

Dianeutral

2.3.5.11 subgroup

clans: diaschismic, neutral

comma basis: 243/242, 2048/2025

edos: 34, 24, 10, 58, 14, 92[+11], 44[+11], 82[+5], 126[+11], 150[+5, +11], 106[+5], 140[+5, +11], 160[+11], 208[+5, +11]

edo join: 34 & 24

mapping: [<2 0 11 -1], <0 2 -4 5]]

generators: ~45/32, ~96/55

WE tuning: 599.208 950.822

WE errors: -1.584, -0.311, 1.688, 3.583

CWE tuning: 600.000 952.030

CWE errors: 0.000, 2.105, 5.566, 8.832

badness(sintel): 1.110

all the patent val: 10 14 24 34 58

2.3.5.11.13 subgroup

clans: island

comma basis: 144/143, 352/351, 832/825

edos: 34, 24, 10, 58, 92[+11, +13], 14, 44[+11], 82[+5, +13], 126[+11, +13], 150[+5, +11, +13], 106[+5, +13], 140[+5, +11, +13], 160[+11, +13], 208[+5, +11, +13]

edo join: 34 & 24

mapping: [<2 0 11 -1 9], <0 2 -4 5 -1]]

generators: ~45/32, ~26/15

WE tuning: 599.165 950.779

WE errors: -1.671, -0.397, 1.383, 3.412, 1.176

CWE tuning: 600.000 952.074

CWE errors: 0.000, 2.194, 5.389, 9.054, 7.398

badness(sintel): 0.591

all the patent val: 10 14 24 34 58

2.3.5.11.13.17 subgroup

clans: semitonic, srutal archagall

comma basis: 144/143, 136/135, 352/351, 832/825

edos: 34, 24, 10, 58, 14, 92[+11, +13], 44[+11], 82[+5, +13]

edo join: 34 & 24

mapping: [<2 0 11 -1 9 5], <0 2 -4 5 -1 2]]

generators: ~45/32, ~26/15

WE tuning: 599.309 951.088

WE errors: -1.381, 0.221, 1.737, 4.812, 2.169, -6.233

CWE tuning: 600.000 952.149

CWE errors: 0.000, 2.343, 5.091, 9.426, 7.324, -0.658

badness(sintel): 0.570

all the patent val: 10 14 24 34 58

Restriction

Semineutral

subgroup: 2.3.11.17

clans: neutral, semitonic

comma basis: 243/242, 289/288

edos: 24, 10, 14, 34, 58, 38, 82, 62, 106, 6[+11], 130, 86[-11, -17], 44[+11], 154

edo join: 24 & 10

mapping: [<2 0 -1 5], <0 2 5 2]]

generators: ~17/12, ~153/88

WE tuning: 600.224 950.678

WE errors: 0.447, -0.600, 1.847, -2.482

CWE tuning: 600.000 950.476

CWE errors: 0.000, -1.003, 1.061, -4.004

badness(sintel): 0.771

all the patent val: 10 14 24 34 38 48 58 62 72 82 96 106 120 130 154

(Dianeutral)

subgroup: 2.3.5.11.17

clans: diaschismic, srutal archagall

comma basis: 136/135, 256/255, 243/242

edos: 34, 24, 10, 58, 14, 92[+11], 44[+11], 82[+5]

edo join: 34 & 24

mapping: [<2 0 11 -1 5], <0 2 -4 5 2]]

generators: ~45/32, ~55/32

WE tuning: 599.376 951.142

WE errors: -1.247, 0.330, 2.256, 5.018, -5.789

CWE tuning: 600.000 952.085

CWE errors: 0.000, 2.215, 5.346, 9.107, -0.785

badness(sintel): 0.771

all the patent val: 10 14 24 34 58