616edo: Difference between revisions

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'''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. It provides an excellent tuning for 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. It provides an excellent tuning for 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 22:00, 4 October 2022

← 615edo 616edo 617edo →
Prime factorization 23 × 7 × 11
Step size 1.94805 ¢ 
Fifth 360\616 (701.299 ¢) (→ 45\77)
Semitones (A1:m2) 56:48 (109.1 ¢ : 93.51 ¢)
Dual sharp fifth 361\616 (703.247 ¢)
Dual flat fifth 360\616 (701.299 ¢) (→ 45\77)
Dual major 2nd 105\616 (204.545 ¢) (→ 15\88)
Consistency limit 7
Distinct consistency limit 7

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. It provides an excellent tuning for 2.5/3.7/3.11 subgroup, approximating 6/5, 7/6, 7/5, and 11/8 within 0.057 cents.