132edo

Revision as of 16:20, 27 May 2024 by FloraC (talk | contribs) (Cleanup and -redundant categories)

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← 131edo 132edo 133edo →
Prime factorization 22 × 3 × 11
Step size 9.09091 ¢ 
Fifth 77\132 (700 ¢) (→ 7\12)
Semitones (A1:m2) 11:11 (100 ¢ : 100 ¢)
Consistency limit 5
Distinct consistency limit 5

Using the patent val, the equal temperament tempers out 531441/524288 (Pythagorean comma) and 48828125/47775744 (sycamore comma) in the 5-limit; 1728/1715, 4000/3969, and 234375/229376 in the 7-limit; 625/616, 1350/1331, 2187/2156, and 2420/2401 in the 11-limit; 169/168, 325/324, 364/363, 640/637, and 1875/1859 in the 13-limit.

Odd harmonics

Approximation of odd harmonics in 132edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -1.96 -4.50 +3.90 -3.91 +3.23 -4.16 +2.64 +4.14 +2.49 +1.95 -1.00
Relative (%) -21.5 -49.5 +42.9 -43.0 +35.5 -45.8 +29.0 +45.5 +27.4 +21.4 -11.0
Steps
(reduced)
209
(77)
306
(42)
371
(107)
418
(22)
457
(61)
488
(92)
516
(120)
540
(12)
561
(33)
580
(52)
597
(69)