195edt
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Prime factorization
3 × 5 × 13
Step size
9.75362¢
Octave
123\195edt (1199.69¢) (→41\65edt)
Consistency limit
5
Distinct consistency limit
5
 |
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| ← 194edt | 195edt | 196edt → |
195 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 195edt or 195ed3), is a nonoctave tuning system that divides the interval of 3/1 into 195 equal parts of about 9.75 ¢ each. Each step represents a frequency ratio of 31/195, or the 195th root of 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.31 | +0.00 | -0.61 | +3.22 | -0.31 | -3.83 | -0.92 | +0.00 | +2.91 | +3.72 | -0.61 |
| Relative (%) | -3.1 | +0.0 | -6.3 | +33.0 | -3.1 | -39.3 | -9.4 | +0.0 | +29.9 | +38.2 | -6.3 | |
| Steps (reduced) |
123 (123) |
195 (0) |
246 (51) |
286 (91) |
318 (123) |
345 (150) |
369 (174) |
390 (0) |
409 (19) |
426 (36) |
441 (51) | |
| Harmonic | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.63 | -4.13 | +3.22 | -1.22 | +1.11 | -0.31 | +3.63 | +2.61 | -3.83 | +3.42 | +4.49 |
| Relative (%) | -27.0 | -42.4 | +33.0 | -12.5 | +11.4 | -3.1 | +37.2 | +26.8 | -39.3 | +35.0 | +46.0 | |
| Steps (reduced) |
455 (65) |
468 (78) |
481 (91) |
492 (102) |
503 (113) |
513 (123) |
523 (133) |
532 (142) |
540 (150) |
549 (159) |
557 (167) | |