211edt
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Prime factorization
211 (prime)
Step size
9.014¢
Octave
133\211edt (1198.86¢)
Consistency limit
5
Distinct consistency limit
5
 |
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| ← 210edt | 211edt | 212edt → |
211 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 211edt or 211ed3), is a nonoctave tuning system that divides the interval of 3/1 into 211 equal parts of about 9.01 ¢ each. Each step represents a frequency ratio of 31/211, or the 211th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.14 | +0.00 | -2.27 | -0.99 | -1.14 | +2.41 | -3.41 | +0.00 | -2.12 | +4.14 | -2.27 |
| Relative (%) | -12.6 | +0.0 | -25.2 | -10.9 | -12.6 | +26.8 | -37.9 | +0.0 | -23.6 | +45.9 | -25.2 | |
| Steps (reduced) |
133 (133) |
211 (0) |
266 (55) |
309 (98) |
344 (133) |
374 (163) |
399 (188) |
422 (0) |
442 (20) |
461 (39) |
477 (55) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.38 | +1.27 | -0.99 | +4.46 | -1.34 | -1.14 | +4.41 | -3.26 | +2.41 | +3.00 | -1.84 |
| Relative (%) | +37.5 | +14.1 | -10.9 | +49.5 | -14.8 | -12.6 | +49.0 | -36.2 | +26.8 | +33.3 | -20.5 | |
| Steps (reduced) |
493 (71) |
507 (85) |
520 (98) |
533 (111) |
544 (122) |
555 (133) |
566 (144) |
575 (153) |
585 (163) |
594 (172) |
602 (180) | |