33edf

Revision as of 07:47, 18 December 2024 by BudjarnLambeth (talk | contribs) ({{EDOs}}, {{stub}}, harmonics)

33EDF is the equal division of the just perfect fifth into 33 parts of 21.2714 cents each, corresponding to 56.4139 edo (similar to every fifth step of 282edo).

← 32edf 33edf 34edf →
Prime factorization 3 × 11
Step size 21.2714 ¢ 
Octave 56\33edf (1191.2 ¢)
Twelfth 89\33edf (1893.15 ¢)
Consistency limit 3
Distinct consistency limit 3

It is related to the regular temperament which tempers out |-131 131 -33> in the 5-limit, which is supported by 113, 282, 395, 677, 959, 1072, 1467, and 1749 EDOs.

Harmonics

Approximation of harmonics in 33edf
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -8.80 -8.80 +3.66 +0.23 +3.66 -7.95 -5.14 +3.66 -8.57 -3.40 -5.14
Relative (%) -41.4 -41.4 +17.2 +1.1 +17.2 -37.4 -24.2 +17.2 -40.3 -16.0 -24.2
Steps
(reduced)
56
(23)
89
(23)
113
(14)
131
(32)
146
(14)
158
(26)
169
(4)
179
(14)
187
(22)
195
(30)
202
(4)


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