616edo: Difference between revisions
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relation to 1848edo |
oops, 3* 616 = 1848, 3 * 1848 would be 5544 |
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{{Infobox ET}} | {{Infobox ET}} | ||
'''616edo''' is the [[EDO|equal division of the octave]] into 616 parts of 1.948052 [[cent]]s each. It tempers out 2401/2400, 48828125/48771072, and 129140163/128450560 in the 7-limit; 9801/9800, 46656/46585, 117649/117612, and 1265625/1261568 in the 11-limit. As every third step of [[1848edo]], it provides an excellent tuning for the [[K*N subgroups|3* | '''616edo''' is the [[EDO|equal division of the octave]] into 616 parts of 1.948052 [[cent]]s each. It tempers out 2401/2400, 48828125/48771072, and 129140163/128450560 in the 7-limit; 9801/9800, 46656/46585, 117649/117612, and 1265625/1261568 in the 11-limit. As every third step of [[1848edo]], it provides an excellent tuning for the [[K*N subgroups|3*616]] 2.5/3.7/3.11 subgroup, approximating [[6/5]], [[7/6]], [[7/5]], and [[11/8]] within 0.057 cents. | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
Revision as of 14:04, 14 May 2023
| ← 615edo | 616edo | 617edo → |
616edo is the equal division of the octave into 616 parts of 1.948052 cents each. It tempers out 2401/2400, 48828125/48771072, and 129140163/128450560 in the 7-limit; 9801/9800, 46656/46585, 117649/117612, and 1265625/1261568 in the 11-limit. As every third step of 1848edo, it provides an excellent tuning for the 3*616 2.5/3.7/3.11 subgroup, approximating 6/5, 7/6, 7/5, and 11/8 within 0.057 cents.