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7-limit temperaments with octave and half-fifth or half-fourth as generators

🔗Gene Ward Smith <gwsmith@svpal.org>

5/23/2003 2:30:17 PM

Hemififth
[[1, 1, -5, -1], [0, 2, 25, 13]] [2, 25, 13, 35, 15, -40]
[1200., 351.4712147]

bad 1262.620150 comp 46.451565 rms .585156

[[1, 2, 3, 3], [0, -2, -3, -1]] [2, 3, 1, 0, -4, -6]
[1200., 270.7929767]

bad 1547.782448 comp 6.691597 rms 34.566097

[[1, 1, 2, 4], [0, 2, 1, -4]] [2, 1, -4, -3, -12, -12]
[1200., 358.0334333]

bad 2431.810370 comp 9.849244 rms 25.068246

Beatles
[[1, 1, 5, 4], [0, 2, -9, -4]] [2, -9, -4, -19, -12, 16]
[1200., 356.3080304]

bad 2483.820841 comp 19.942653 rms 6.245316

[[1, 1, 19, 11], [0, 2, -57, -28]] [2, -57, -28, -95, -50, 95]
[1200., 351.1142096]

bad 2515.083696 comp 111.653682 rms .201747

Hemifourth
[[1, 2, 4, 3], [0, -2, -8, -1]] [2, 8, 1, 8, -4, -20]
[1200., 252.7423121]

bad 2970.086939 comp 15.298626 rms 12.690078

Semififth
[[1, 1, 0, 6], [0, 2, 8, -11]] [2, 8, -11, 8, -23, -48]
[1200., 348.3528922]

bad 3109.919809 comp 28.865737 rms 3.732363

[[1, 2, -1, 8], [0, -2, 16, -25]] [2, -16, 25, -30, 34, 103]
[1200., 249.2114324]

bad 3750.376628 comp 61.748496 rms .983608

[[1, 1, 1, 2], [0, 2, 5, 3]] [2, 5, 3, 3, -1, -7]
[1200., 315.3245950]

bad 3898.802315 comp 9.333509 rms 44.754977

[[1, 1, 7, 30], [0, 2, -16, -93]] [2, -16, -93, -30, -153, -171]
[1200., 350.8743312]

bad 3928.712657 comp 147.709229 rms .180067

[[1, 2, -7, -9], [0, -2, 45, 57]] [2, -45, -57, -76, -96, -6]
[1200., 248.5874435]

bad 6992.965578 comp 108.728913 rms .591523

[[1, 1, 7, -1], [0, 2, -16, 13]] [2, -16, 13, -30, 15, 75]
[1200., 351.0948128]

bad 7594.526402 comp 46.156599 rms 3.564783

[[1, 2, 5, 3], [0, -2, -13, -1]] [2, 13, 1, 16, -4, -34]
[1200., 247.5778574]

bad 7614.478971 comp 25.171790 rms 12.017441

[[1, 2, 0, -1], [0, -2, 11, 18]] [2, -11, -18, -22, -34, -11]
[1200., 253.4171263]

bad 7788.113101 comp 32.924467 rms 7.184470