80000edo
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Prime factorization
27 × 54
Step size
0.015¢
Fifth
46797\80000 (701.955¢)
Semitones (A1:m2)
7579:6015 (113.7¢ : 90.23¢)
Consistency limit
9
Distinct consistency limit
9
| ← 79999edo | 80000edo | 80001edo → |
80000 equal divisions of the octave (abbreviated 80000edo or 80000ed2), also called 80000-tone equal temperament (80000tet) or 80000 equal temperament (80000et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 80000 equal parts of exactly 0.015 ¢ each. Each step represents a frequency ratio of 21/80000, or the 80000th root of 2.
80000edo is most notable for having an extremely relatively good 3/2 of exactly 701.955 cents, carried into its multiples including 6000000edo.
Odd harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00000 | -0.00000 | -0.00371 | -0.00591 | +0.00706 | -0.00266 | -0.00041 | -0.00302 | +0.00065 | -0.00719 | +0.00443 |
| Relative (%) | +0.0 | -0.0 | -24.8 | -39.4 | +47.1 | -17.7 | -2.7 | -20.1 | +4.4 | -48.0 | +29.5 | |
| Steps (reduced) |
80000 (0) |
126797 (46797) |
185754 (25754) |
224588 (64588) |
276755 (36755) |
296035 (56035) |
326997 (6997) |
339834 (19834) |
361885 (41885) |
388638 (68638) |
396336 (76336) | |
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