329edo

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← 328edo329edo330edo →
Prime factorization 7 × 47
Step size 3.64742¢
Fifth 192\329 (700.304¢)
Semitones (A1:m2) 28:27 (102.1¢ : 98.48¢)
Dual sharp fifth 193\329 (703.951¢)
Dual flat fifth 192\329 (700.304¢)
Dual major 2nd 56\329 (204.255¢) (→8\47)
Consistency limit 3
Distinct consistency limit 3

329 equal divisions of the octave (329edo), or 329-tone equal temperament (329tet), 329 equal temperament (329et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 329 equal parts of about 3.65 ¢ each.

Theory

Approximation of odd harmonics in 329edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) -1.65 +0.31 +1.39 +0.35 -0.56 -1.62 -1.34 +0.82 +1.58 -0.26 -0.92
relative (%) -45 +9 +38 +9 -15 -44 -37 +22 +43 -7 -25
Steps
(reduced)
521
(192)
764
(106)
924
(266)
1043
(56)
1138
(151)
1217
(230)
1285
(298)
1345
(29)
1398
(82)
1445
(129)
1488
(172)

329edo provides excellent tuning for the secor / miracle temperament, containing a continued fraction convergent to the definition of secor - 32 steps out of 329.