287edo: Difference between revisions
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CompactStar (talk | contribs) Created page with "{{Infobox ET}} {{EDO intro|287}} ==Theory== {{Primes in edo|287}}" |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== | |||
{{ | It is part of the [[optimal ET sequence]] for the [[heptacot]], [[marveltwintri]], [[quartemka]], and [[sensible]] temperaments. | ||
=== Prime harmonics === | |||
{{Harmonics in equal|287}} | |||
{{Stub}} | |||
Latest revision as of 18:07, 20 February 2025
| ← 286edo | 287edo | 288edo → |
287 equal divisions of the octave (abbreviated 287edo or 287ed2), also called 287-tone equal temperament (287tet) or 287 equal temperament (287et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 287 equal parts of about 4.18 ¢ each. Each step represents a frequency ratio of 21/287, or the 287th root of 2.
It is part of the optimal ET sequence for the heptacot, marveltwintri, quartemka, and sensible temperaments.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.48 | -1.64 | +1.21 | +0.60 | -0.11 | -0.43 | -0.65 | -1.10 | -1.01 | +0.61 |
| Relative (%) | +0.0 | +11.6 | -39.3 | +28.9 | +14.3 | -2.6 | -10.2 | -15.5 | -26.2 | -24.1 | +14.6 | |
| Steps (reduced) |
287 (0) |
455 (168) |
666 (92) |
806 (232) |
993 (132) |
1062 (201) |
1173 (25) |
1219 (71) |
1298 (150) |
1394 (246) |
1422 (274) | |
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