65536edo
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Prime factorization
216
Step size
0.0183105¢
Fifth
38336\65536 (701.953¢) (→599\1024)
Semitones (A1:m2)
6208:4928 (113.7¢ : 90.23¢)
Consistency limit
23
Distinct consistency limit
23
| ← 65535edo | 65536edo | 65537edo → |
65536 equal divisions of the octave (abbreviated 65536edo or 65536ed2), also called 65536-tone equal temperament (65536tet) or 65536 equal temperament (65536et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 65536 equal parts of about 0.0183 ¢ each. Each step represents a frequency ratio of 21/65536, or the 65536th root of 2.
65536edo is the 16th power-of-two edo, and the first such edo to be consistent in the 23-odd-limit. It also has potential in the 27-odd-limit, with the only inconsistent intervals being 25/22, 44/25, 27/25, and 50/27.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.00000 | -0.00188 | +0.00220 | +0.00344 | -0.00569 | -0.00032 | +0.00065 | -0.00325 | -0.00286 | +0.00655 | -0.00383 |
| relative (%) | +0 | -10 | +12 | +19 | -31 | -2 | +4 | -18 | -16 | +36 | -21 | |
| Steps (reduced) |
65536 (0) |
103872 (38336) |
152170 (21098) |
183983 (52911) |
226717 (30109) |
242512 (45904) |
267876 (5732) |
278392 (16248) |
296456 (34312) |
318373 (56229) |
324678 (62534) | |