252edo
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Prime factorization
22 × 32 × 7
Step size
4.7619¢
Fifth
147\252 (700¢) (→7\12)
Semitones (A1:m2)
21:21 (100¢ : 100¢)
Dual sharp fifth
148\252 (704.762¢) (→37\63)
Dual flat fifth
147\252 (700¢) (→7\12)
Dual major 2nd
43\252 (204.762¢)
Consistency limit
7
Distinct consistency limit
7
| ← 251edo | 252edo | 253edo → |
252 equal divisions of the octave (abbreviated 252edo or 252ed2), also called 252-tone equal temperament (252tet) or 252 equal temperament (252et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 252 equal parts of about 4.76 ¢ each. Each step represents a frequency ratio of 21/252, or the 252nd root of 2.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -1.96 | -0.60 | -2.16 | +0.85 | +1.06 | +2.33 | +2.21 | -0.19 | -2.27 | +0.65 | +0.30 |
| relative (%) | -41 | -13 | -45 | +18 | +22 | +49 | +46 | -4 | -48 | +14 | +6 | |
| Steps (reduced) |
399 (147) |
585 (81) |
707 (203) |
799 (43) |
872 (116) |
933 (177) |
985 (229) |
1030 (22) |
1070 (62) |
1107 (99) |
1140 (132) | |
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