254edo
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Prime factorization
2 × 127
Step size
4.72441¢
Fifth
149\254 (703.937¢)
Semitones (A1:m2)
27:17 (127.6¢ : 80.31¢)
Dual sharp fifth
149\254 (703.937¢)
Dual flat fifth
148\254 (699.213¢) (→74\127)
Dual major 2nd
43\254 (203.15¢)
Consistency limit
7
Distinct consistency limit
7
| ← 253edo | 254edo | 255edo → |
254 equal divisions of the octave (abbreviated 254edo or 254ed2), also called 254-tone equal temperament (254tet) or 254 equal temperament (254et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 254 equal parts of about 4.72 ¢ each. Each step represents a frequency ratio of 21/254, or the 254th root of 2.
It is part of the optimal ET sequence for the denjoy, georgian and trienparapyth temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.98 | +1.09 | -0.32 | -0.76 | +1.44 | +0.42 | -1.65 | -1.02 | +0.12 | +1.66 | +0.07 |
| Relative (%) | +42.0 | +23.0 | -6.8 | -16.1 | +30.4 | +8.8 | -35.0 | -21.6 | +2.6 | +35.1 | +1.5 | |
| Steps (reduced) |
403 (149) |
590 (82) |
713 (205) |
805 (43) |
879 (117) |
940 (178) |
992 (230) |
1038 (22) |
1079 (63) |
1116 (100) |
1149 (133) | |
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