33ed7/4
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Prime factorization
3 × 11
Step size
29.3584¢
Octave
41\33ed7/4 (1203.69¢)
Twelfth
65\33ed7/4 (1908.29¢)
Consistency limit
10
Distinct consistency limit
3
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← 32ed7/4 | 33ed7/4 | 34ed7/4 → |
33 equal divisions of 7/4 (abbreviated 33ed7/4) is a nonoctave tuning system that divides the interval of 7/4 into 33 equal parts of about 29.4 ¢ each. Each step represents a frequency ratio of (7/4)1/33, or the 33rd root of 7/4.
Intervals
Steps | Cents | ExpandApproximate ratios |
---|
Harmonics
Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | +3.7 | +6.3 | +7.4 | +2.7 | +10.0 | +7.4 | +11.1 | +12.7 | +6.4 | -11.8 | +13.7 |
Relative (%) | +12.6 | +21.6 | +25.2 | +9.3 | +34.2 | +25.2 | +37.7 | +43.2 | +21.9 | -40.2 | +46.7 | |
Steps (reduced) |
41 (8) |
65 (32) |
82 (16) |
95 (29) |
106 (7) |
115 (16) |
123 (24) |
130 (31) |
136 (4) |
141 (9) |
147 (15) |