153edo
Jump to navigation
Jump to search
Prime factorization
32 × 17
Step size
7.84314¢
Fifth
89\153 (698.039¢)
Semitones (A1:m2)
11:14 (86.27¢ : 109.8¢)
Dual sharp fifth
90\153 (705.882¢) (→10\17)
Dual flat fifth
89\153 (698.039¢)
Dual major 2nd
26\153 (203.922¢)
(convergent)
Consistency limit
5
Distinct consistency limit
5
| ← 152edo | 153edo | 154edo → |
(convergent)
153edo is the equal division of the octave into 153 parts of 7.8431 cents each. As such, this EDO corresponds to every second step of 306edo, with third harmonic falling almost exactly halfway between adjacent steps, resulting in multiple options for fifths, just like with 100edo, 47edo or 35edo, although the patent fifth is 89\153.
Notably, however, it represents 11L 3s.
Using 153edo for 2.9.21.11/5 subgroup, it tempers out 9801/9800, 40353607/40310784, and 645922816/645700815 with patent 9 (inconsistent) and 21.