616edo: Difference between revisions
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oops, 3* 616 = 1848, 3 * 1848 would be 5544 |
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{{Infobox ET}} | {{novelty}}{{stub}}{{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*616]] 2.5/3.7/3.11 subgroup, approximating [[6/5]], [[7/6]], [[7/5]], and [[11/8]] within 0.057 cents. | '''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 05:38, 9 July 2023
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This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
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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.