363edo

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← 362edo363edo364edo →
Prime factorization 3 × 112
Step size 3.30579¢ 
Fifth 212\363 (700.826¢)
Semitones (A1:m2) 32:29 (105.8¢ : 95.87¢)
Dual sharp fifth 213\363 (704.132¢) (→71\121)
Dual flat fifth 212\363 (700.826¢)
Dual major 2nd 62\363 (204.959¢)
Consistency limit 7
Distinct consistency limit 7

363 equal divisions of the octave (abbreviated 363edo or 363ed2), also called 363-tone equal temperament (363tet) or 363 equal temperament (363et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 363 equal parts of about 3.31 ¢ each. Each step represents a frequency ratio of 21/363, or the 363rd root of 2.

Uinsg the patent val, the equal temperament tempers out 2401/2400 and 78732/78125 in the 7-limit; 243/242, 441/440 and 540/539 in the 11-limit; 351/350, 1716/1715 and 1575/1573 in the 13-limit; and provides the optimal patent val for jovis temperament.

Odd harmonics

Approximation of odd harmonics in 363edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.13 +0.46 -0.23 +1.05 +0.75 -0.86 -0.67 +0.83 +0.01 -1.36 -0.18
Relative (%) -34.1 +14.0 -7.0 +31.7 +22.6 -26.0 -20.1 +25.1 +0.2 -41.1 -5.3
Steps
(reduced)
575
(212)
843
(117)
1019
(293)
1151
(62)
1256
(167)
1343
(254)
1418
(329)
1484
(32)
1542
(90)
1594
(142)
1642
(190)

Subsets and supersets

Since 363 factors into 3 × 112, 363edo has subset edos 3, 11, 33, and 121.