2520edo

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Revision as of 21:49, 12 March 2023 by Eliora (talk | contribs) (Created page with "{{Infobox ET}} {{EDO intro|2520}} 2520edo is the 18th highly composite EDO and the least common multiple of numbers of 1 through 10 inclusive. From a regular temperament...")
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← 2519edo 2520edo 2521edo →
Prime factorization 23 × 32 × 5 × 7
Step size 0.47619 ¢ 
Fifth 1474\2520 (701.905 ¢) (→ 737\1260)
Semitones (A1:m2) 238:190 (113.3 ¢ : 90.48 ¢)
Consistency limit 5
Distinct consistency limit 5
Special properties

Template:EDO intro 2520edo is the 18th highly composite EDO and the least common multiple of numbers of 1 through 10 inclusive.

From a regular temperament perspective, it is a great 2.3.5.11.13 subgroup tuning where it tempers out 6656/6655.

2520d val tempers out 2401/2400 and 4375/4374 and provides the tuning for the ennealimmal temperament and the rank-3 ennealimmic temperament. 2520de val is a tuning for the hemiennealimmal temperament in the 11-limit. 2520e val is a member of the optimal GPV sequence for the tribilo temperament, the 2.3.11 rank-2 temperament tempering out 1771561/1769472, and coming after 2361e val and before the 2679e val.

Prime harmonics

Approximation of prime harmonics in 2520edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.000 -0.050 -0.123 +0.222 +0.111 -0.051 -0.194 +0.106 -0.179 -0.053 +0.203
Relative (%) +0.0 -10.6 -25.9 +46.6 +23.2 -10.8 -40.6 +22.3 -37.6 -11.2 +42.5
Steps
(reduced)
2520
(0)
3994
(1474)
5851
(811)
7075
(2035)
8718
(1158)
9325
(1765)
10300
(220)
10705
(625)
11399
(1319)
12242
(2162)
12485
(2405)