2667518edo
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2667518 equal divisions of the octave (abbreviated 2667518edo or 2667518ed2), also called 2667518-tone equal temperament (2667518tet) or 2667518 equal temperament (2667518et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 2667518 equal parts of about 0.00045 ¢ each. Each step represents a frequency ratio of 21/2667518, or the 2667518th root of 2.
Theory
This EDO inherits its fifth from 190537edo and seems to be at its best in the 2.3.5.11.19.23 subgroup.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000000 | +0.000000 | +0.000005 | +0.000096 | -0.000051 | +0.000200 | +0.000133 | -0.000047 | +0.000026 | +0.000113 | +0.000075 |
| Relative (%) | +0.0 | +0.0 | +1.2 | +21.3 | -11.2 | +44.4 | +29.7 | -10.5 | +5.8 | +25.2 | +16.7 | |
| Steps (reduced) |
2667518 (0) |
4227916 (1560398) |
6193785 (858749) |
7488670 (2153634) |
9228096 (1225542) |
9870990 (1868436) |
10903381 (233309) |
11331423 (661351) |
12066683 (1396611) |
12958752 (2288680) |
13215408 (2545336) | |