507edo
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Prime factorization
3 × 132
Step size
2.36686¢
Fifth
297\507 (702.959¢) (→99\169)
Semitones (A1:m2)
51:36 (120.7¢ : 85.21¢)
Dual sharp fifth
297\507 (702.959¢) (→99\169)
Dual flat fifth
296\507 (700.592¢)
Dual major 2nd
86\507 (203.55¢)
Consistency limit
3
Distinct consistency limit
3
| ← 506edo | 507edo | 508edo → |
507 equal divisions of the octave (abbreviated 507edo or 507ed2), also called 507-tone equal temperament (507tet) or 507 equal temperament (507et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 507 equal parts of about 2.37 ¢ each. Each step represents a frequency ratio of 21/507, or the 507th root of 2.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.00 | -0.51 | -0.78 | -0.36 | +0.16 | -0.29 | +0.49 | -0.81 | +0.71 | +0.23 | -1.06 |
| Relative (%) | +42.4 | -21.8 | -32.9 | -15.2 | +6.8 | -12.3 | +20.6 | -34.4 | +30.1 | +9.5 | -44.6 | |
| Steps (reduced) |
804 (297) |
1177 (163) |
1423 (409) |
1607 (86) |
1754 (233) |
1876 (355) |
1981 (460) |
2072 (44) |
2154 (126) |
2227 (199) |
2293 (265) | |
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