242edo
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Prime factorization
2 × 112
Step size
4.95868¢
Fifth
142\242 (704.132¢) (→71\121)
Semitones (A1:m2)
26:16 (128.9¢ : 79.34¢)
Dual sharp fifth
142\242 (704.132¢) (→71\121)
Dual flat fifth
141\242 (699.174¢)
Dual major 2nd
41\242 (203.306¢)
Consistency limit
5
Distinct consistency limit
5
| ← 241edo | 242edo | 243edo → |
242 equal divisions of the octave (abbreviated 242edo or 242ed2), also called 242-tone equal temperament (242tet) or 242 equal temperament (242et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 242 equal parts of about 4.96 ¢ each. Each step represents a frequency ratio of 21/242, or the 242nd root of 2.
It is part of the optimal ET sequence for the apollo and varda temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.18 | +0.46 | -1.88 | -0.60 | -0.90 | +2.45 | -2.32 | -0.82 | +0.01 | +0.29 | +1.48 |
| Relative (%) | +43.9 | +9.3 | -38.0 | -12.2 | -18.2 | +49.4 | -46.8 | -16.6 | +0.2 | +5.9 | +29.8 | |
| Steps (reduced) |
384 (142) |
562 (78) |
679 (195) |
767 (41) |
837 (111) |
896 (170) |
945 (219) |
989 (21) |
1028 (60) |
1063 (95) |
1095 (127) | |
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