186ed6
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Division of the sixth harmonic into 186 equal parts (186ED6) is related to 72 edo, but with the 6/1 rather than the 2/1 being just. The octave is about 1.2347 cents stretched and the step size is about 16.6838 cents. It is consistent to the 18-integer-limit, and significantly improves on 72edo's approximation to 13.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.76 | -0.76 | +1.51 | -1.23 | +0.00 | -0.04 | +2.27 | -1.51 | -0.47 | +1.30 | +0.76 | -4.40 | +0.72 | -1.98 | +3.03 | -1.87 | -0.76 |
| Relative (%) | +4.5 | -4.5 | +9.1 | -7.3 | +0.0 | -0.2 | +13.6 | -9.1 | -2.8 | +7.8 | +4.5 | -26.4 | +4.3 | -11.9 | +18.2 | -11.2 | -4.5 | |
| Steps (reduced) |
72 (72) |
114 (114) |
144 (144) |
167 (167) |
186 (0) |
202 (16) |
216 (30) |
228 (42) |
239 (53) |
249 (63) |
258 (72) |
266 (80) |
274 (88) |
281 (95) |
288 (102) |
294 (108) |
300 (114) | |