148418edo
| ← 148417edo | 148418edo | 148419edo → |
148418 equal divisions of the octave (148418edo), or 148418-tone equal temperament (148418tet), 148418 equal temperament (148418et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 148418 equal parts of about 0.00809 ¢ each.
148418edo is a zeta peak edo, distinctly consistent through the 39-odd-limit. It marks the first equal temperament with lower relative errors after 16808 in the 23-, 29-, and 31-limit, the first after 83096 in the 37-limit, and the first after 95524 in the 41-limit. Some of the simpler commas it tempers out include 408761/408760, 453376/453375, 509796/509795, 601426/601425, 633556/633555, 709632/709631, 949026/949025, 1154440/1154439, 1163800/1163799, 1255501/1255500, 2023425/2023424, 2307361/2307360, 2697696/2697695, 3897166/3897165, 4096576/4096575, and 5909761/5909760.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.00000 | +0.00029 | +0.00061 | -0.00002 | +0.00063 | +0.00112 | -0.00048 | +0.00076 | -0.00015 | +0.00143 | +0.00074 |
| relative (%) | +0 | +4 | +8 | -0 | +8 | +14 | -6 | +9 | -2 | +18 | +9 | |
| Steps (reduced) |
148418 (0) |
235237 (86819) |
344616 (47780) |
416662 (119826) |
513442 (68188) |
549212 (103958) |
606653 (12981) |
630469 (36797) |
671378 (77706) |
721012 (127340) |
735292 (141620) | |
Subsets and supersets
Since 148418 factors into 2 × 74209, 148418edo has subset edos 2 and 74209.