966edo

From Xenharmonic Wiki
Jump to navigation Jump to search
← 965edo 966edo 967edo →
Prime factorization 2 × 3 × 7 × 23
Step size 1.24224¢ 
Fifth 565\966 (701.863¢)
Semitones (A1:m2) 91:73 (113¢ : 90.68¢)
Consistency limit 11
Distinct consistency limit 11

966 equal divisions of the octave (abbreviated 966edo or 966ed2), also called 966-tone equal temperament (966tet) or 966 equal temperament (966et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 966 equal parts of about 1.24 ¢ each. Each step represents a frequency ratio of 21/966, or the 966th root of 2.

Odd harmonics

966edo has a good approximation of the 11-limit, with its primes 7 and 11, along with odd 15, borrowed from 161edo.

Approximation of prime harmonics in 966edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.092 +0.022 +0.118 +0.235 +0.466 -0.608 -0.619 +0.297 +0.236 +0.306
Relative (%) +0.0 -7.4 +1.7 +9.5 +18.9 +37.5 -48.9 -49.8 +23.9 +19.0 +24.6
Steps
(reduced)
966
(0)
1531
(565)
2243
(311)
2712
(780)
3342
(444)
3575
(677)
3948
(84)
4103
(239)
4370
(506)
4693
(829)
4786
(922)
Icon-Stub.png This page is a stub. You can help the Xenharmonic Wiki by expanding it.