415edt: Difference between revisions
Jump to navigation
Jump to search
mNo edit summary |
No edit summary |
||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET}} | ||
'''415EDT''' is the [[EDT|equal division of the third harmonic]] into 415 parts of 4.5830[[cent|cents]] each, corresponding to 261.8358 [[edo]]. It is notable for its impressive [[consistency]] records in very high no-evens [[odd limit#Nonoctave equaves|throdd limit]]s. | |||
== Harmonics == | |||
{{Harmonics in equal|415|3|1|intervals=odd|columns=15}} | {{Harmonics in equal|415|3|1|intervals=odd|columns=15}} | ||
{{Harmonics in equal|415|3|1|intervals=odd|start=16|columns=18|collapsed=1|title=Approximation of odd harmonics in 415edt (continued)}} | {{Harmonics in equal|415|3|1|intervals=odd|start=16|columns=18|collapsed=1|title=Approximation of odd harmonics in 415edt (continued)}} | ||
{{Stub}} | {{Stub}} | ||
Revision as of 04:39, 21 September 2024
| ← 414edt | 415edt | 416edt → |
415EDT is the equal division of the third harmonic into 415 parts of 4.5830cents each, corresponding to 261.8358 edo. It is notable for its impressive consistency records in very high no-evens throdd limits.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | 25 | 27 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.16 | -0.30 | +0.00 | +0.90 | +0.42 | +0.16 | -1.12 | -1.19 | -0.30 | -1.97 | +0.33 | +0.00 | +0.03 | -0.85 |
| Relative (%) | +0.0 | +3.6 | -6.6 | +0.0 | +19.7 | +9.2 | +3.6 | -24.4 | -26.0 | -6.6 | -43.1 | +7.2 | +0.0 | +0.6 | -18.6 | |
| Steps (reduced) |
415 (0) |
608 (193) |
735 (320) |
830 (0) |
906 (76) |
969 (139) |
1023 (193) |
1070 (240) |
1112 (282) |
1150 (320) |
1184 (354) |
1216 (386) |
1245 (0) |
1272 (27) |
1297 (52) | |
| Harmonic | 33 | 35 | 37 | 39 | 41 | 43 | 45 | 47 | 49 | 51 | 53 | 55 | 57 | 59 | 61 | 63 | 65 | 67 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.90 | -0.14 | -0.10 | +0.42 | +0.92 | +0.96 | +0.16 | -1.79 | -0.61 | -1.12 | +1.03 | +1.07 | -1.19 | -1.31 | +0.55 | -0.30 | +0.59 | -1.46 |
| Relative (%) | +19.7 | -3.0 | -2.2 | +9.2 | +20.1 | +20.9 | +3.6 | -39.0 | -13.2 | -24.4 | +22.5 | +23.3 | -26.0 | -28.7 | +12.0 | -6.6 | +12.8 | -32.0 | |
| Steps (reduced) |
1321 (76) |
1343 (98) |
1364 (119) |
1384 (139) |
1403 (158) |
1421 (176) |
1438 (193) |
1454 (209) |
1470 (225) |
1485 (240) |
1500 (255) |
1514 (269) |
1527 (282) |
1540 (295) |
1553 (308) |
1565 (320) |
1577 (332) |
1588 (343) | |
|
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |