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¢)
Sharp fifth 193\329 (703.951¢)
Flat fifth 192\329 (700.304¢)
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
Error absolute (¢) -1.65 +0.31 +1.39 +0.35 -0.56 -1.62 -1.34 +0.82 +1.58 -0.26
relative (%) -45 +9 +38 +9 -15 -44 -37 +22 +43 -7
Steps
(reduced)
521
(192)
764
(106)
924
(266)
1043
(56)
1138
(151)
1217
(230)
1285
(298)
1345
(29)
1398
(82)
1445
(129)

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