28ed4/3

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← 27ed4/3 28ed4/3 29ed4/3 →
Prime factorization 22 × 7
Step size 17.7873 ¢ 
Octave 67\28ed4/3 (1191.75 ¢)
Twelfth 107\28ed4/3 (1903.24 ¢)
(semiconvergent)
Consistency limit 2
Distinct consistency limit 2

28ed4/3 can be thought of as a 2.3.7.11 subgroup analogue to 20edf or Carlos Gamma. It very closely approximates the intervals of 8/7 (at 13 steps) and 7/6 (at 15 steps), along with 11/8 (at 31 steps). This tuning is close to every other step of 135edo or to 107edt.

Harmonics

Approximation of harmonics in 28ed4/3
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -8.25 +1.29 +1.29 +6.30 -6.96 -7.02 -6.96 +2.58 -1.95 -6.87 +2.58
Relative (%) -46.4 +7.2 +7.2 +35.4 -39.1 -39.5 -39.1 +14.5 -11.0 -38.6 +14.5
Steps
(reduced)
67
(11)
107
(23)
135
(23)
157
(17)
174
(6)
189
(21)
202
(6)
214
(18)
224
(0)
233
(9)
242
(18)
Approximation of harmonics in 28ed4/3
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) +6.30 +2.52 +7.58 +2.58 +4.35 -5.67 +7.45 +7.58 -5.73 +2.67 -3.14
Relative (%) +35.4 +14.1 +42.6 +14.5 +24.4 -31.9 +41.9 +42.6 -32.2 +15.0 -17.7
Steps
(reduced)
250
(26)
257
(5)
264
(12)
270
(18)
276
(24)
281
(1)
287
(7)
292
(12)
296
(16)
301
(21)
305
(25)
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