191edt
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Prime factorization
191 (prime)
Step size
9.95788¢
Octave
121\191edt (1204.9¢)
Consistency limit
2
Distinct consistency limit
2
 |
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| ← 190edt | 191edt | 192edt → |
191 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 191edt or 191ed3), is a nonoctave tuning system that divides the interval of 3/1 into 191 equal parts of about 9.96 ¢ each. Each step represents a frequency ratio of 31/191, or the 191st root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +4.90 | +0.00 | -0.15 | +1.89 | +4.90 | -3.06 | +4.75 | +0.00 | -3.16 | +1.12 | -0.15 |
| Relative (%) | +49.2 | +0.0 | -1.5 | +19.0 | +49.2 | -30.8 | +47.7 | +0.0 | -31.8 | +11.2 | -1.5 | |
| Steps (reduced) |
121 (121) |
191 (0) |
241 (50) |
280 (89) |
312 (121) |
338 (147) |
362 (171) |
382 (0) |
400 (18) |
417 (35) |
432 (50) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.69 | +1.84 | +1.89 | -0.30 | +4.28 | +4.90 | +0.92 | +1.74 | -3.06 | -3.94 | -1.23 |
| Relative (%) | +6.9 | +18.5 | +19.0 | -3.0 | +43.0 | +49.2 | +9.3 | +17.5 | -30.8 | -39.5 | -12.4 | |
| Steps (reduced) |
446 (64) |
459 (77) |
471 (89) |
482 (100) |
493 (111) |
503 (121) |
512 (130) |
521 (139) |
529 (147) |
537 (155) |
545 (163) | |