133edo

Revision as of 16:15, 27 May 2024 by FloraC (talk | contribs) (Adopt template: EDO intro; -redundant categories; misc. cleanup)
← 132edo 133edo 134edo →
Prime factorization 7 × 19
Step size 9.02256 ¢ 
Fifth 78\133 (703.759 ¢)
Semitones (A1:m2) 14:9 (126.3 ¢ : 81.2 ¢)
Consistency limit 5
Distinct consistency limit 5

Template:EDO intro

The equal temperament tempers out 393216/390625 (würschmidt comma) and 131072000/129140163 (rodan comma) in the 5-limit.

Using the patent val, it tempers out 245/243, 1029/1024 and 395136/390625 in the 7-limit; 385/384, 441/440, 896/891 and 43923/43750 in the 11-limit; 196/195, 325/324, 352/351, 364/363 and 3146/3125 in the 13-limit. It supports rodan and superenneadecal.

Using the 133d val, it tempers out 1728/1715, 4000/3969 and 4375/4374. It supports enneadecal.

Odd harmonics

Approximation of prime harmonics in 133edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +1.80 +1.66 -3.41 -0.94 -1.43 +3.32 +0.23 +3.30 -1.01 +0.83
Relative (%) +0.0 +20.0 +18.4 -37.8 -10.4 -15.8 +36.7 +2.6 +36.6 -11.1 +9.2
Steps
(reduced)
133
(0)
211
(78)
309
(43)
373
(107)
460
(61)
492
(93)
544
(12)
565
(33)
602
(70)
646
(114)
659
(127)