33edf: Difference between revisions
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== Harmonics == | == Harmonics == | ||
{{Harmonics in equal|33|3|2}} | {{Harmonics in equal|33|3|2}} | ||
{{Harmonics in equal|33|3|2|title=(contd.)|start=12}} | |||
Revision as of 07:49, 18 December 2024
| ← 32edf | 33edf | 34edf → |
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
| 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) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +5.19 | +4.52 | -8.57 | +7.33 | +8.73 | -5.14 | +7.61 | +3.90 | +4.52 | +9.07 | -4.08 |
| Relative (%) | +24.4 | +21.2 | -40.3 | +34.5 | +41.0 | -24.2 | +35.8 | +18.3 | +21.2 | +42.6 | -19.2 | |
| Steps (reduced) |
209 (11) |
215 (17) |
220 (22) |
226 (28) |
231 (0) |
235 (4) |
240 (9) |
244 (13) |
248 (17) |
252 (21) |
255 (24) | |
|
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