33edf

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

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).

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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