User:Eliora/899edo
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Prime factorization
29 × 31
Step size
1.33482 ¢
Fifth
526\899 (702.113 ¢)
Semitones (A1:m2)
86:67 (114.8 ¢ : 89.43 ¢)
Consistency limit
3
Distinct consistency limit
3
| ← 898edo | 899edo | 900edo → |
899 equal divisions of the octave (abbreviated 899edo or 899ed2), also called 899-tone equal temperament (899tet) or 899 equal temperament (899et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 899 equal parts of about 1.33 ¢ each. Each step represents a frequency ratio of 21/899, or the 899th root of 2.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.158 | -0.552 | +0.251 | -0.039 | +0.407 | +0.495 | +0.151 | +0.424 | -0.434 | +0.237 |
| Relative (%) | +0.0 | +11.9 | -41.3 | +18.8 | -2.9 | +30.5 | +37.1 | +11.3 | +31.8 | -32.5 | +17.8 | |
| Steps (reduced) |
899 (0) |
1425 (526) |
2087 (289) |
2524 (726) |
3110 (413) |
3327 (630) |
3675 (79) |
3819 (223) |
4067 (471) |
4367 (771) |
4454 (858) | |
Subsets and supersets
Since 899 factors as 29 × 31, 899edo contains 29edo and 31edo.