139ed5
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Prime factorization
139 (prime)
Step size
20.0454¢
Octave
60\139ed5 (1202.73¢)
Twelfth
95\139ed5 (1904.32¢)
Consistency limit
9
Distinct consistency limit
9
| ← 138ed5 | 139ed5 | 140ed5 → |
139 equal divisions of the 5th harmonic (abbreviated 139ed5) is a nonoctave tuning system that divides the interval of 5/1 into 139 equal parts of about 20 ¢ each. Each step represents a frequency ratio of 51/139, or the 139th root of 5.
Odd harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.73 | +2.36 | +5.45 | +0.00 | +5.09 | -1.19 | +8.18 | +4.72 | +2.73 | -1.92 | +7.81 |
| Relative (%) | +13.6 | +11.8 | +27.2 | +0.0 | +25.4 | -6.0 | +40.8 | +23.5 | +13.6 | -9.6 | +39.0 | |
| Steps (reduced) |
60 (60) |
95 (95) |
120 (120) |
139 (0) |
155 (16) |
168 (29) |
180 (41) |
190 (51) |
199 (60) |
207 (68) |
215 (76) | |
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