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CompactStar (talk | contribs) Created page with "{{Infobox ET}} The '''600 equal divisions of the octave''' ('''600edo'''), or the '''1200(-tone) equal temperament''' ('''600tet''', '''600et''') when viewed from a regular..." |
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{{Infobox ET}} | {{Infobox ET}} | ||
The '''600 equal divisions of the octave''' ('''600edo'''), or the '''1200(-tone) equal temperament''' ('''600tet''', '''600et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 600 [[equal]] parts of exactly 2 [[cent]]s each. Because the step size is 2 cents, it is the smallest EDO where every possible interval is tuned within | The '''600 equal divisions of the octave''' ('''600edo'''), or the '''1200(-tone) equal temperament''' ('''600tet''', '''600et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 600 [[equal]] parts of exactly 2 [[cent]]s each. Because the step size is 2 cents, it is the smallest EDO where every possible interval is tuned within 1 cent of error. | ||
== Theory == | == Theory == | ||
Revision as of 08:25, 17 April 2023
| ← 599edo | 600edo | 601edo → |
The 600 equal divisions of the octave (600edo), or the 1200(-tone) equal temperament (600tet, 600et) when viewed from a regular temperament perspective, divides the octave into 600 equal parts of exactly 2 cents each. Because the step size is 2 cents, it is the smallest EDO where every possible interval is tuned within 1 cent of error.
Theory
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.045 | -0.314 | -0.826 | +0.682 | -0.528 | -0.955 | +0.487 | -0.274 | +0.423 | +0.964 |
| Relative (%) | +0.0 | +2.2 | -15.7 | -41.3 | +34.1 | -26.4 | -47.8 | +24.3 | -13.7 | +21.1 | +48.2 | |
| Steps (reduced) |
600 (0) |
951 (351) |
1393 (193) |
1684 (484) |
2076 (276) |
2220 (420) |
2452 (52) |
2549 (149) |
2714 (314) |
2915 (515) |
2973 (573) | |
600edo has the same mapping as 1200edo in the 5-limit.