411edo
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Prime factorization
3 × 137
Step size
2.91971¢
Fifth
240\411 (700.73¢) (→80\137)
Semitones (A1:m2)
36:33 (105.1¢ : 96.35¢)
Dual sharp fifth
241\411 (703.65¢)
Dual flat fifth
240\411 (700.73¢) (→80\137)
Dual major 2nd
70\411 (204.38¢)
Consistency limit
5
Distinct consistency limit
5
| ← 410edo | 411edo | 412edo → |
411 equal divisions of the octave (abbreviated 411edo or 411ed2), also called 411-tone equal temperament (411tet) or 411 equal temperament (411et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 411 equal parts of about 2.92 ¢ each. Each step represents a frequency ratio of 21/411, or the 411th root of 2.
Using the patent val, this equal temperament tempers out the comma 250047/250000.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.23 | -0.91 | +0.52 | +0.47 | +0.51 | +0.35 | +0.78 | +0.15 | +0.30 | -0.71 | -0.54 |
| Relative (%) | -42.0 | -31.2 | +17.7 | +16.1 | +17.4 | +11.9 | +26.8 | +5.3 | +10.2 | -24.2 | -18.4 | |
| Steps (reduced) |
651 (240) |
954 (132) |
1154 (332) |
1303 (70) |
1422 (189) |
1521 (288) |
1606 (373) |
1680 (36) |
1746 (102) |
1805 (161) |
1859 (215) | |
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