16384edo
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Prime factorization
214
Step size
0.0732422¢
Fifth
9584\16384 (701.953¢) (→599\1024)
Semitones (A1:m2)
1552:1232 (113.7¢ : 90.23¢)
Consistency limit
5
Distinct consistency limit
5
| ← 16383edo | 16384edo | 16385edo → |
16384 equal divisions of the octave (abbreviated 16384edo or 16384ed2), also called 16384-tone equal temperament (16384tet) or 16384 equal temperament (16384et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 16384 equal parts of about 0.0732 ¢ each. Each step represents a frequency ratio of 21/16384, or the 16384th root of 2.
Theory
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.0000 | -0.0019 | -0.0344 | +0.0217 | -0.0240 | -0.0003 | +0.0006 | -0.0033 | -0.0029 | -0.0118 | +0.0328 |
| relative (%) | +0 | -3 | -47 | +30 | -33 | -0 | +1 | -4 | -4 | -16 | +45 | |
| Steps (reduced) |
16384 (0) |
25968 (9584) |
38042 (5274) |
45996 (13228) |
56679 (7527) |
60628 (11476) |
66969 (1433) |
69598 (4062) |
74114 (8578) |
79593 (14057) |
81170 (15634) | |
This is the 14th power of two EDO, however, it's even less impressive than the one before it, with a consistency limit of only 5.