258ed12
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Prime factorization
2 × 3 × 43
Step size
16.6742¢
Octave
72\258ed12 (1200.55¢) (→12\43ed12)
Twelfth
114\258ed12 (1900.86¢) (→19\43ed12)
Consistency limit
18
Distinct consistency limit
11
| ← 257ed12 | 258ed12 | 259ed12 → |
Division of the twelfth harmonic into 258 equal parts (258ED12) is very nearly identical to 72 EDO, but with the 12/1 rather than the 2/1 being just. The octave is about 0.55 cents stretched and the step size is about 16.674 cents.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.55 | -1.09 | +1.09 | -1.71 | -0.55 | -0.63 | +1.64 | -2.18 | -1.17 | +0.57 | +0.00 | -5.18 | -0.08 | -2.81 | +2.18 | -2.73 | -1.64 | +4.81 | -0.62 |
| Relative (%) | +3.3 | -6.5 | +6.5 | -10.3 | -3.3 | -3.8 | +9.8 | -13.1 | -7.0 | +3.4 | +0.0 | -31.1 | -0.5 | -16.8 | +13.1 | -16.4 | -9.8 | +28.8 | -3.7 | |
| Steps (reduced) |
72 (72) |
114 (114) |
144 (144) |
167 (167) |
186 (186) |
202 (202) |
216 (216) |
228 (228) |
239 (239) |
249 (249) |
258 (0) |
266 (8) |
274 (16) |
281 (23) |
288 (30) |
294 (36) |
300 (42) |
306 (48) |
311 (53) | |