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11-limit yantra temperaments

🔗Gene Ward Smith <gwsmith@svpal.org>

3/20/2004 3:35:32 PM

Here are the 11-limit temperaments which arise from tempering out the
three smallest independent steps of 11-limit yantras.

[<1 1 2 1 1|, <0 2 1 6 8|] 10
[<1 1 2 1 4|, <0 2 1 6 -2|] dicot 11
[<1 1 2 4 3|, <0 -1 1 -3 1|] father 12
[<1 2 1 5 3|, <0 -1 3 -5 1|] hexidecimal 13
[<2 4 5 6 9|, <0 -2 -1 -1 -5|] decimal 14
[<2 3 4 5 7|, <0 1 3 3 0|] octokaidecal 15
[<5 8 12 14 17|, <0 0 -1 0 1|] blackwood 16-18
[<1 2 4 2 1|, <0 -1 -4 2 6|] dominant seventh 19
[<2 3 4 5 6|, <0 1 4 4 6|] injera 20-21
[<2 4 6 7 8|, <0 -3 -5 -5 -4|] biporcupine 22
[<1 2 3 4 4|, <0 -3 -5 -9 -4|] tweedledee 23-26
[<1 1 2 3 3|, <0 9 5 -3 7|] valentine (alpha) 27-28
[<1 2 4 7 11|, <0 -1 -4 -10 -18|] huygens 29-30
[<1 -1 2 -3 -3|, <0, 8, 1, 18, 20|] wuerschmidt 31-38
[<1 1 3 3 2|, <0 6 -7 -2 15|] miracle 39-94
[<1 -13 -14 -9 -8|, <0 42 47 34 33|] undecififth 95-97
[<18 28 41 50 62|, <0 2 3 2 1|] hemiennealimmal 98-509
[<6 11 17 20 24|, <0 -17 -35 -36 -37|] 510-1074
[<1 2 24 6 -2|, <0 -13 -679 -100 171|] 1075-1102
[<1 177 239 46 -127|, <0 -398 -537 -98 296|] 1103-1307