2667518edo

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This page presents a novelty topic. It features ideas which are less likely to find practical applications in xenharmonic music. It may contain numbers that are impractically large, exceedingly complex or chosen arbitrarily.

Novelty topics are often developed by a single person or a small group. As such, this page may also feature idiosyncratic terms, notations or conceptual frameworks.

← 2667517edo2667518edo2667519edo →
Prime factorization 2 × 7 × 190537
Step size 0.000449856¢
Fifth 1560398\2667518 (701.955¢) (→111457\190537)
Semitones (A1:m2) 252714:200564 (113.7¢ : 90.22¢)
Consistency limit 11
Distinct consistency limit 11

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 seems to be at its best in the 2.3.5.11.19.23 subgroup.


Approximation of prime harmonics in 2667518edo
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 +1 +21 -11 +44 +30 -10 +6 +25 +17
Steps
(reduced)
2667518
(0)
4227916
(1560398)
6193785
(858749)
7488670
(2153634)
9228096
(1225542)
9870990
(1868436)
10903381
(233309)
11331423
(661351)
12066683
(1396611)
12958752
(2288680)
13215408
(2545336)


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