2667518edo
Jump to navigation
Jump to search
![]() |
This page presents a topic of primarily mathematical interest.
While it is derived from sound mathematical principles, its applications in terms of utility for actual music may be limited, highly contrived, or as yet unknown. |
← 2667517edo | 2667518edo | 2667519edo → |
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) |