91ed4
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Prime factorization
7 × 13
Step size
26.3736¢
Octave
46\91ed4 (1213.19¢)
Twelfth
72\91ed4 (1898.9¢)
Consistency limit
1
Distinct consistency limit
1
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← 89ed4 | 91ed4 | 93ed4 → |
91 equal divisions of the 4th harmonic (abbreviated 91ed4) is a nonoctave tuning system that divides the interval of 4/1 into 91 equal parts of about 26.4 ¢ each. Each step represents a frequency ratio of 41/91, or the 91st root of 4.
Intervals
Steps | Cents | ExpandApproximate ratios |
---|
Harmonics
Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | +13.2 | -3.1 | +0.0 | +9.3 | +10.1 | +7.0 | +13.2 | -6.1 | -3.9 | -10.7 | -3.1 |
Relative (%) | +50.0 | -11.6 | +0.0 | +35.2 | +38.4 | +26.5 | +50.0 | -23.2 | -14.8 | -40.4 | -11.6 | |
Steps (reduced) |
46 (46) |
72 (72) |
91 (0) |
106 (15) |
118 (27) |
128 (37) |
137 (46) |
144 (53) |
151 (60) |
157 (66) |
163 (72) |