153edo
| ← 152edo | 153edo | 154edo → |
(convergent)
153edo 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 any dual-fifth systems.
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 and 21.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -3.92 | -2.00 | +3.72 | +0.01 | -2.30 | -1.31 | +1.93 | -2.99 | +0.53 | -0.19 | -0.82 |
| Relative (%) | -49.9 | -25.5 | +47.5 | +0.1 | -29.3 | -16.7 | +24.6 | -38.2 | +6.7 | -2.5 | -10.5 | |
| Steps (reduced) |
242 (89) |
355 (49) |
430 (124) |
485 (26) |
529 (70) |
566 (107) |
598 (139) |
625 (13) |
650 (38) |
672 (60) |
692 (80) | |
Subsets and supersets
Since 153 factors into 32 × 17, 153edo has subset edos 3, 9, 17, and 51.