571611edo
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Prime factorization
3 × 190537
Step size
0.00209933¢
Fifth
334371\571611 (701.955¢) (→111457\190537)
Semitones (A1:m2)
54153:42978 (113.7¢ : 90.22¢)
Consistency limit
9
Distinct consistency limit
9
| ← 571610edo | 571611edo | 571612edo → |
571611 equal divisions of the octave (abbreviated 571611edo or 571611ed2), also called 571611-tone equal temperament (571611tet) or 571611 equal temperament (571611et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 571611 equal parts of about 0.0021 ¢ each. Each step represents a frequency ratio of 21/571611, or the 571611th root of 2.
Theory
This multiple of 190537edo only has a consistency level of 9.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000000 | +0.000000 | +0.000755 | +0.000096 | -0.000351 | -0.000100 | +0.000583 | -0.000197 | +0.000476 | -0.000786 | -0.000225 |
| Relative (%) | +0.0 | +0.0 | +36.0 | +4.6 | -16.7 | -4.8 | +27.8 | -9.4 | +22.7 | -37.5 | -10.7 | |
| Steps (reduced) |
571611 (0) |
905982 (334371) |
1327240 (184018) |
1604715 (461493) |
1977449 (262616) |
2115212 (400379) |
2336439 (49995) |
2428162 (141718) |
2585718 (299274) |
2776875 (490431) |
2831873 (545429) | |