245edt
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Prime factorization
5 × 72
Step size
7.76308¢
Octave
155\245edt (1203.28¢) (→31\49edt)
Consistency limit
2
Distinct consistency limit
2
| ← 244edt | 245edt | 246edt → |
245 equal divisions of the tritave, perfect twelfth, or 3rd harmonic (abbreviated 245edt or 245ed3), is a nonoctave tuning system that divides the interval of 3/1 into 245 equal parts of about 7.76 ¢ each. Each step represents a frequency ratio of 31/245, or the 245th root of 3.
245edt is the 17th no-twos zeta peak EDT. It is a tuning of Izar, providing the lowest-badness extension to the 3.5.7.11.13 subgroup (mapping ⟨1 31 19 35 13] ⟨0 -36 -21 -40 -13]) and beyond. Having a sharp tendency, it is best tuned with the tritave 0.4–0.5 ¢ flat.
It is efficient on the 3.5.7.11.13.17.19.29.31.43.47.61.67.71.73 subgroup.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +3.28 | +0.00 | +0.63 | +0.35 | +1.93 | -0.04 | +1.31 | +2.83 | -1.88 | +0.50 | +1.48 |
| Relative (%) | +42.2 | +0.0 | +8.1 | +4.5 | +24.9 | -0.6 | +16.9 | +36.5 | -24.2 | +6.4 | +19.1 | |
| Steps (reduced) |
155 (155) |
245 (0) |
359 (114) |
434 (189) |
535 (45) |
572 (82) |
632 (142) |
657 (167) |
699 (209) |
751 (16) |
766 (31) | |
| Harmonic | 37 | 41 | 43 | 47 | 53 | 59 | 61 | 67 | 71 | 73 | 79 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -2.06 | -1.23 | +1.71 | +2.98 | -3.18 | -2.53 | +1.86 | +2.46 | +2.99 | +1.48 | -3.30 |
| Relative (%) | -26.6 | -15.9 | +22.0 | +38.4 | -40.9 | -32.6 | +24.0 | +31.7 | +38.6 | +19.1 | -42.4 | |
| Steps (reduced) |
805 (70) |
828 (93) |
839 (104) |
859 (124) |
885 (150) |
909 (174) |
917 (182) |
938 (203) |
951 (216) |
957 (222) |
974 (239) | |
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