324edo

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← 323edo324edo325edo →
Prime factorization 22 × 34
Step size 3.7037¢
Fifth 190\324 (703.704¢) (→95\162)
Semitones (A1:m2) 34:22 (125.9¢ : 81.48¢)
Dual sharp fifth 190\324 (703.704¢) (→95\162)
Dual flat fifth 189\324 (700¢) (→7\12)
Dual major 2nd 55\324 (203.704¢)
Consistency limit 3
Distinct consistency limit 3

324 equal divisions of the octave (324edo), or 324-tone equal temperament (324tet), 324 equal temperament (324et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 324 equal parts of about 3.7 ¢ each.

Theory

324edo is a dual-fifth system, with the flat fifth being the 700 cent fifth coming from 12edo, and the sharp fifth coming from 162edo.

It is an excellent 2.9.11.13.15.21 subgroup tuning.

Odd harmonics

Approximation of odd harmonics in 324edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) +1.75 -1.13 +1.54 -0.21 +0.53 +0.21 +0.62 -1.25 -1.22 -0.41 +1.36
relative (%) +47 -30 +42 -6 +14 +6 +17 -34 -33 -11 +37
Steps
(reduced)
514
(190)
752
(104)
910
(262)
1027
(55)
1121
(149)
1199
(227)
1266
(294)
1324
(28)
1376
(80)
1423
(127)
1466
(170)