114edt
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Prime factorization
2 × 3 × 19
Step size
16.6838¢
Octave
72\114edt (1201.23¢) (→12\19edt)
Consistency limit
17
Distinct consistency limit
11
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| ← 113edt | 114edt | 115edt → |
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 | +0 | +15 | -1 | +7 | +8 | +22 | +0 | +7 | +18 | +15 | -16 | +15 | -1 | +30 | +1 | +7 | |
| 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) | |