151ed4: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Harmonics == | |||
{{Harmonics in equal | |||
| steps = 151 | |||
| num = 4 | |||
| denom = 1 | |||
}} | |||
{{Harmonics in equal | |||
| steps = 151 | |||
| num = 4 | |||
| denom = 1 | |||
| start = 12 | |||
| collapsed = 1 | |||
}} | |||
Latest revision as of 10:16, 5 October 2024
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| ← 149ed4 | 151ed4 | 153ed4 → |
151 equal divisions of the 4th harmonic (abbreviated 151ed4) is a nonoctave tuning system that divides the interval of 4/1 into 151 equal parts of about 15.9 ¢ each. Each step represents a frequency ratio of 41/151, or the 151st root of 4.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +7.95 | +5.33 | +0.00 | -4.86 | -2.62 | +0.71 | +7.95 | -5.23 | +3.09 | -2.97 | +5.33 |
| Relative (%) | +50.0 | +33.5 | +0.0 | -30.6 | -16.5 | +4.5 | +50.0 | -32.9 | +19.4 | -18.7 | +33.5 | |
| Steps (reduced) |
76 (76) |
120 (120) |
151 (0) |
175 (24) |
195 (44) |
212 (61) |
227 (76) |
239 (88) |
251 (100) |
261 (110) |
271 (120) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -6.09 | -7.24 | +0.47 | +0.00 | +6.30 | +2.71 | +4.47 | -4.86 | +6.04 | +4.97 | +7.49 |
| Relative (%) | -38.3 | -45.5 | +3.0 | +0.0 | +39.7 | +17.1 | +28.1 | -30.6 | +38.0 | +31.3 | +47.1 | |
| Steps (reduced) |
279 (128) |
287 (136) |
295 (144) |
302 (0) |
309 (7) |
315 (13) |
321 (19) |
326 (24) |
332 (30) |
337 (35) |
342 (40) | |