324edo

Revision as of 15:54, 22 December 2022 by Eliora (talk | contribs) (324edo)
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← 323edo 324edo 325edo →
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

Template:EDO intro

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 (%) +47.2 -30.5 +41.7 -5.6 +14.4 +5.8 +16.7 -33.8 -32.9 -11.1 +36.6
Steps
(reduced)
514
(190)
752
(104)
910
(262)
1027
(55)
1121
(149)
1199
(227)
1266
(294)
1324
(28)
1376
(80)
1423
(127)
1466
(170)