73edt: Difference between revisions
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'''[[Edt|Division of the third harmonic]] into 73 equal parts''' (73edt) is related to [[46edo|46 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 1.5078 cents compressed and the step size is about 26.0542 cents. It is consistent to the [[17-odd-limit|18-integer-limit]]. In comparison, 46edo is only consistent up to the [[13-odd-limit|14-integer-limit]]. | '''[[Edt|Division of the third harmonic]] into 73 equal parts''' (73edt) is related to [[46edo|46 edo]], but with the 3/1 rather than the 2/1 being just. The octave is about 1.5078 cents compressed and the step size is about 26.0542 cents. It is consistent to the [[17-odd-limit|18-integer-limit]]. In comparison, 46edo is only consistent up to the [[13-odd-limit|14-integer-limit]]. | ||
==Interval== | |||
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=Related regular temperament= | ==Related regular temperament== | ||
73edt is also related to the microtemperament which tempers out |73 -153 73> in the 5-limit, which is supported by 46, 783, 829, 1612, 2395, 3128, and 4007 EDOs. | 73edt is also related to the microtemperament which tempers out |73 -153 73> in the 5-limit, which is supported by 46, 783, 829, 1612, 2395, 3128, and 4007 EDOs. | ||
==46&783 | ===5-limit 46&783=== | ||
Comma: |73 -153 73> | Comma: |73 -153 73> | ||
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EDOs: 46, 737, 783, 829, 875, 1612, 2395, 2441, 3128, 4007, 5573, 6402 | EDOs: 46, 737, 783, 829, 875, 1612, 2395, 2441, 3128, 4007, 5573, 6402 | ||
===7-limit=== | ===7-limit 46&783=== | ||
Commas: 4375/4374, |-92 20 3 19> | Commas: 4375/4374, |-92 20 3 19> | ||
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EDOs: 46, 691, 737, 783, 829, 1520, 1612 | EDOs: 46, 691, 737, 783, 829, 1520, 1612 | ||
===11-limit=== | ===11-limit 46&783=== | ||
Commas: 4375/4374, 806736/805255, 2097152/2096325 | Commas: 4375/4374, 806736/805255, 2097152/2096325 | ||