453edo

Revision as of 07:32, 3 November 2023 by FloraC (talk | contribs) (Cleanup)
← 452edo 453edo 454edo →
Prime factorization 3 × 151
Step size 2.64901 ¢ 
Fifth 265\453 (701.987 ¢)
Semitones (A1:m2) 43:34 (113.9 ¢ : 90.07 ¢)
Consistency limit 11
Distinct consistency limit 11

Template:EDO intro

The equal temperament tempers out [8 14 -13 (parakleisma) and [54 -37 2 (monzisma) in the 5-limit; 250047/250000, 589824/588245, and 2460375/2458624 in the 7-limit; 3025/3024, 5632/5625, 24057/24010, and 102487/102400 in the 11-limit; 676/675, 1001/1000, 4096/4095, 6656/6655, and 16848/16807 in the 13-limit, so that it supports the monzismic temperament.

Prime harmonics

Approximation of prime harmonics in 453edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.00 +0.03 +0.44 +0.71 -0.32 -0.79 +1.00 -0.82 -0.46 +0.89 -0.66
Relative (%) +0.0 +1.2 +16.7 +26.8 -12.3 -29.9 +37.9 -31.1 -17.4 +33.5 -25.1
Steps
(reduced)
453
(0)
718
(265)
1052
(146)
1272
(366)
1567
(208)
1676
(317)
1852
(40)
1924
(112)
2049
(237)
2201
(389)
2244
(432)

Subsets and supersets

Since 453 factors into 3 × 151, 453edo contains 3edo and 151edo as subsets.