# 329edo

 ← 328edo 329edo 330edo →
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 (abbreviated 329edo or 329ed2), also called 329-tone equal temperament (329tet) or 329 equal temperament (329et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 329 equal parts of about 3.65 ¢ each. Each step represents a frequency ratio of 21/329, or the 329th root of 2.

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

### Odd harmonics

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 (%) -45.3 +8.6 +38.0 +9.5 -15.3 -44.5 -36.7 +22.5 +43.2 -7.2 -25.2
Steps
(reduced)
521
(192)
764
(106)
924
(266)
1043
(56)
1138
(151)
1217
(230)
1285
(298)
1345
(29)
1398
(82)
1445
(129)
1488
(172)

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