114edt: Difference between revisions
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'''[[Edt|Division of the third harmonic]] into 114 equal parts''' (114EDT) is related to [[72edo|72 edo]], but with the 3/1 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 [[17-odd-limit|18-integer-limit]], and significantly improves on 72edo's approximation to 13. | |||
Lookalikes: [[72edo]], [[186ed6]] | |||
==Harmonics== | |||
{{Harmonics in equal|114|3|1|prec=2|columns=17}} | |||
[[Category:Edt]] | |||
[[Category:Edonoi]] | |||
Revision as of 14:49, 9 May 2024
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Division of the third harmonic into 114 equal parts (114EDT) is related to 72 edo, but with the 3/1 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 (¢) | +1.23 | +0.00 | +2.47 | -0.12 | +1.23 | +1.30 | +3.70 | +0.00 | +1.12 | +2.95 | +2.47 | -2.63 | +2.54 | -0.12 | +4.94 | +0.09 | +1.23 |
| Relative (%) | +7.4 | +0.0 | +14.8 | -0.7 | +7.4 | +7.8 | +22.2 | +0.0 | +6.7 | +17.7 | +14.8 | -15.8 | +15.2 | -0.7 | +29.6 | +0.5 | +7.4 | |
| Steps (reduced) |
72 (72) |
114 (0) |
144 (30) |
167 (53) |
186 (72) |
202 (88) |
216 (102) |
228 (0) |
239 (11) |
249 (21) |
258 (30) |
266 (38) |
274 (46) |
281 (53) |
288 (60) |
294 (66) |
300 (72) | |