Fractional-octave temperaments: Difference between revisions
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Comma list: 4096/4095, 91125/91091, 2912000/2910897, 369754/369603 | Comma list: 4096/4095, 91125/91091, 2912000/2910897, 369754/369603 | ||
Mapping: 91 91 371 149 581 390, 0 1 -3 -2 -5 -1 | Mapping: [{{val|91 91 371 149 581 390}}, {{val|0 1 -3 -2 -5 -1}}] | ||
Mapping generators: ~1728/1715, ~3/2 | Mapping generators: ~1728/1715, ~3/2 | ||
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Optimal tuning (CTE): ~3/2 = 702.020c | Optimal tuning (CTE): ~3/2 = 702.020c | ||
Optimal GPV sequence: 364, 1183, 1547 | Optimal GPV sequence: {{EDOs|364, 1183, 1547}} | ||
====17-limit==== | ====17-limit==== | ||
Subgroup: 2.3.5.7.11.13.17 | Subgroup: 2.3.5.7.11.13.17 | ||
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Comma list: 4096/4095, 14400/14399, 42500/42471, 75735/75712, 2100875/2100384 | Comma list: 4096/4095, 14400/14399, 42500/42471, 75735/75712, 2100875/2100384 | ||
Mapping: 91 91 371 149 581 390 159, 0 1 -3 -2 -5 -1 4 | Mapping: [{{91 91 371 149 581 390 159}}, {{val|0 1 -3 -2 -5 -1 4}}] | ||
Mapping generators: ~3773/3744, ~3/2 | Mapping generators: ~3773/3744, ~3/2 | ||
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Optimal tuning (CTE): ~3/2 = 702.027c | Optimal tuning (CTE): ~3/2 = 702.027c | ||
Optimal GPV sequence: 364, 1183, 1547 | Optimal GPV sequence: {{EDOs|364, 1183, 1547}} | ||
== 118th-octave temperaments == | == 118th-octave temperaments == | ||
[[118edo|118EDO]] is accurate for harmonics 3 and 5, so various 118th-octave temperaments actually make sense. | [[118edo|118EDO]] is accurate for harmonics 3 and 5, so various 118th-octave temperaments actually make sense. | ||