236edt
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Prime factorization
22 × 59
Step size
8.05913¢
Octave
149\236edt (1200.81¢)
Consistency limit
14
Distinct consistency limit
14
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236 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 236edt or 236ed3), is a nonoctave tuning system that divides the interval of 3/1 into 236 equal parts of about 8.06 ¢ each. Each step represents a frequency ratio of 31/236, or the 236th root of 3.
Harmonics
Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | +0.81 | +0.00 | +1.62 | +2.15 | +0.81 | -0.11 | +2.43 | +0.00 | +2.96 | -0.87 | +1.62 |
Relative (%) | +10.1 | +0.0 | +20.1 | +26.6 | +10.1 | -1.4 | +30.2 | +0.0 | +36.7 | -10.7 | +20.1 | |
Steps (reduced) |
149 (149) |
236 (0) |
298 (62) |
346 (110) |
385 (149) |
418 (182) |
447 (211) |
472 (0) |
495 (23) |
515 (43) |
534 (62) |
Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
---|---|---|---|---|---|---|---|---|---|---|---|---|
Error | Absolute (¢) | +0.05 | +0.70 | +2.15 | +3.24 | +3.06 | +0.81 | +3.92 | +3.77 | -0.11 | -0.05 | +3.58 |
Relative (%) | +0.7 | +8.7 | +26.6 | +40.2 | +37.9 | +10.1 | +48.6 | +46.7 | -1.4 | -0.7 | +44.4 | |
Steps (reduced) |
551 (79) |
567 (95) |
582 (110) |
596 (124) |
609 (137) |
621 (149) |
633 (161) |
644 (172) |
654 (182) |
664 (192) |
674 (202) |