329edo

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Revision as of 21:50, 4 October 2022 by Plumtree (talk | contribs) (Infobox ET added)
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← 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

Template:EDO intro

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 (%) -45.3 +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)

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