2.11.13.17.19 subgroup

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Commas

Here follows a selection of commas in the 2.11.13.17.19 subgroup.

name monzo ratio cents as composition of other commas tempered by patent val for ed2?
yama bean Blumeyer frouggie pollar 13 24 33 37 57 70 80 113 124 137
Blumeyer [7 0 0 0 -1 -1 -1 1⟩ 2432 / 2431 0.7120024978 1 ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓ ✓
yama [-4 0 0 0 1 -1 0 1⟩ 209 / 208 8.303296728 1 ✓ ✓ ✓ ✓ ✓ ✓
Blume [-11 0 0 0 2 0 1 0⟩ 2057 / 2048 7.59129423 1 -1 ✓ ✓ ✓ ✓ ✓ ✓
[3 0 0 0 0 -2 -1 2⟩ 2888 / 2873 9.015299226 1 1 ✓ ✓ ✓ ✓ ✓ ✓
eye [3 0 0 0 -2 0 2 -1⟩ 2312 / 2299 9.761918139 1 1 -2 ✓ ✓ ✓ ✓ ✓
lum [-1 0 0 0 -1 -1 2 0⟩ 289 / 286 18.06521487 2 1 -2 ✓ ✓ ✓
ume [-8 0 0 0 0 0 3 -1⟩ 4913 / 4864 17.35321237 2 1 -3 ✓ ✓ ✓ ✓
mey [-7 0 0 0 0 3 -1 0⟩ 2197 / 2176 16.62757581 2 1 ✓
[-5 0 0 0 0 -2 2 1⟩ 5491 / 5408 26.36851159 3 1 -2 ✓ ✓ ✓
[-5 0 0 0 -1 0 0 2⟩ 361 / 352 43.7080899 5 1 -1 1 ✓
[-1 0 0 0 -2 1 0 1⟩ 247 / 242 35.40479317 4 1 -1 1 ✓
[6 0 0 0 -1 -4 3 0⟩ 314432 / 314171 1.437639059 1 -2 -1 ✓ ✓ ✓ ✓ ✓
[14 0 0 0 -4 0 1 -1⟩ 278528 / 278179 2.170623909 1 -1 ✓ ✓ ✓
[4 0 0 0 -2 3 -2 0⟩ 35152 / 34969 9.036281578 1 1 1 ✓ ✓
[10 0 0 0 -3 -1 1 0⟩ 17408 / 17303 10.47392064 1 1 -1 ✓
[0 0 0 0 -1 2 -2 1⟩ 3211 / 3179 17.33957831 2 1 1 ✓
[6 0 0 0 -2 -2 1 1⟩ 20672 / 20449 18.77721736 2 1 -1 ✓ ✓ ✓
[-4 0 0 0 0 1 -2 2⟩ 4693 / 4624 25.64287503 3 1 1 ✓
[3 0 0 0 -3 2 0 0⟩ 1352 / 1331 27.10149644 3 1 -1 1 ✓
[-8 0 0 0 -1 2 1 0⟩ 2873 / 2816 34.69279067 4 1 -2 1 ✓
[14 0 0 0 2 0 -2 -3⟩ 1982464 / 1982251 0.1860173318 1 1 ✓ ✓ ✓ ✓
[13 0 0 0 1 -1 0 -3⟩ 90112 / 89167 18.2512322 2 1 -2 1 1 ✓
[7 0 0 0 -3 1 2 -2⟩ 480896 / 480491 1.458621411 1 -2 ✓ ✓ ✓
bean [21 0 0 0 -5 -1 0 0⟩ 2097152 / 2093663 2.882626407 1 ✓ ✓ ✓
[-3 0 0 0 -1 4 -1 -1⟩ 28561 / 28424 8.32427908 1 1 ✓ ✓
[-11 0 0 0 1 2 -1 1⟩ 35321 / 34816 24.93087254 3 1 ✓
[3 0 0 0 4 0 -1 -3⟩ 117128 / 116603 7.777311562 1 -1 1 1 ✓ ✓ ✓
[-18 0 0 0 2 3 0 0⟩ 265837 / 262144 24.21887004 3 -1 1 ✓
[9 0 0 0 2 -2 0 -2⟩ 61952 / 61009 26.55452893 3 1 -2 1 1 ✓
[10 0 0 0 3 -1 -2 -2⟩ 1362944 / 1356277 8.48931406 1 1 1 ✓ ✓ ✓ ✓
[21 0 0 0 1 -1 -3 -2⟩ 23068672 / 23056709 0.8980198296 1 1 1 ✓ ✓ ✓
[-7 0 0 0 -3 -1 1 4⟩ 2215457 / 2214784 0.525985166 1 -1 -1 ✓ ✓ ✓
[-10 0 0 0 2 3 -3 1⟩ 5050903 / 5030912 6.865657669 1 -1 2 1 ✓ ✓ ✓
[-3 0 0 0 1 2 -4 2⟩ 671099 / 668168 7.577660166 1 -1 3 1 ✓ ✓
[5 0 0 0 3 -3 0 -1⟩ 42592 / 41743 34.85782565 4 1 -2 1 1 ✓
[6 0 0 0 -3 0 -1 2⟩ 23104 / 22627 36.11679567 4 1 1 ✓
pollar [1 0 0 0 -2 5 -1 -2⟩ 742586 / 742577 0.02098235203 1 ✓ ✓
[17 0 0 0 2 -2 -3 -1⟩ 15859712 / 15775643 9.201316557 1 1 1 1 ✓ ✓ ✓
[11 0 0 0 -3 2 -3 1⟩ 6576128 / 6539203 9.748284075 1 2 1 ✓ ✓
[24 0 0 0 -1 -1 -1 -3⟩ 16777216 / 16674229 10.65993797 1 1 -1 1 1 ✓ ✓
[17 0 0 0 -4 -2 0 1⟩ 2490368 / 2474329 11.18592313 1 1 ✓
[2 0 0 0 3 -1 1 -3⟩ 90508 / 89167 25.84252643 3 1 -3 1 1 ✓
[16 0 0 0 1 -3 -1 -1⟩ 720896 / 709631 27.26653142 3 1 -1 1 1 ✓
[-15 0 0 0 2 1 -1 2⟩ 567853 / 557056 33.23416926 4 1 ✓
[-2 0 0 0 -3 0 2 1⟩ 5491 / 5324 53.47000804 6 2 -3 1 ✓
[8 0 0 0 -3 4 -2 -1⟩ 7311616 / 7308521 0.7329848499 1 1 ✓ ✓
[28 0 0 0 -2 0 -1 -4⟩ 268435456 / 268070297 2.356641241 1 -1 1 1 ✓ ✓
[-10 0 0 0 -4 3 0 3⟩ 15069223 / 14992384 8.850264246 1 1 -1 ✓ ✓ ✓ ✓
[6 0 0 0 4 -2 -2 -1⟩ 937024 / 927979 16.79261079 2 1 1 ✓ ✓
[15 0 0 0 -4 3 -3 0⟩ 71991296 / 71931233 1.444987348 2 1 ✓ ✓
[-17 0 0 0 3 4 -2 0⟩ 38014691 / 37879808 6.153655171 1 -1 1 1 ✓ ✓
[0 0 0 0 -6 0 3 2⟩ 1773593 / 1771561 1.984606577 1 -1 -1 -1 ✓ ✓
[14 0 0 0 -5 2 -1 0⟩ 2768896 / 2737867 19.51020221 2 1 1 ✓
[18 0 0 0 0 3 -4 -3⟩ 575930368 / 572870539 9.222298909 1 1 1 2 ✓ ✓ ✓
[-6 0 0 0 -5 4 0 2⟩ 10310521 / 10307264 0.5469675181 1 -1 ✓
[20 0 0 0 1 -4 1 -3⟩ 196083712 / 195899899 1.623656391 1 -2 1 ✓
[-14 0 0 0 3 2 -3 2⟩ 81202979 / 80494592 15.1689544 2 -1 2 1 ✓ ✓
[-21 0 0 0 -2 3 1 3⟩ 256176791 / 253755392 16.44155848 2 -1 ✓ ✓ ✓
[-1 0 0 0 4 1 -3 -1⟩ 190333 / 186694 33.42018659 4 1 2 ✓
[8 0 0 0 1 -3 2 -2⟩ 813824 / 793117 44.61974379 5 2 -4 1 1 ✓
[-7 0 0 0 -5 1 4 1⟩ 20629687 / 20614528 1.272604079 1 -2 -1 -1 ✓
[2 0 0 0 6 -5 0 -1⟩ 7086244 / 7054567 7.75632921 1 -1 1 ✓
[-17 0 0 0 -3 4 1 2⟩ 175278857 / 174456832 8.138261748 1 -1 ✓ ✓
frouggie [13 0 0 0 4 -5 -1 -1⟩ 119939072 / 119927639 0.1650349798 1 ✓ ✓
[16 0 0 0 2 -5 1 -2⟩ 134807552 / 134036773 9.926953119 1 1 -2 1 ✓
[-24 0 0 0 -2 5 2 1⟩ 2038769863 / 2030043136 7.42625925 1 -1 -1 ✓ ✓
[-4 0 0 0 -5 -1 3 3⟩ 33698267 / 33498608 10.28790331 1 1 -1 -1 -1 ✓
[-4 0 0 0 7 -1 -3 -1⟩ 19487171 / 19416176 6.31869015 1 -1 1 1 1 ✓
[18 0 0 0 -6 3 -1 -1⟩ 575930368 / 572214203 11.20690549 1 1 1 ✓
[0 0 0 0 5 2 -5 -1⟩ 27217619 / 26977283 15.35497173 2 -1 2 1 2 ✓
[22 0 0 0 -1 4 -4 -4⟩ 119793516544 / 119729942651 0.9190021816 1 1 2 ✓
[-18 0 0 0 -4 3 3 2⟩ 3896583821 / 3838050304 26.20347661 3 1 -2 -1 ✓
[22 0 0 0 -7 4 -1 -2⟩ 119793516544 / 119592768427 2.903608759 1 1 ✓ ✓
[-27 0 0 0 -1 7 -2 3⟩ 430392078103 / 426678157312 15.00391942 2 -1 2 -1 1 ✓

See also

Yer, a hexadecatonic JI EFG in this subgroup

Gjaeck, a tridecatonic MOS of 57ed2 in this subgroup

Hilim13, a tridecatonic JI tuning in this subgroup

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