4501edo: Difference between revisions

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41- and 43-limit notability
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{{EDO intro|4501}}
{{EDO intro|4501}}



Revision as of 04:24, 9 July 2023

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← 4500edo 4501edo 4502edo →
Prime factorization 7 × 643
Step size 0.266607 ¢ 
Fifth 2633\4501 (701.977 ¢)
Semitones (A1:m2) 427:338 (113.8 ¢ : 90.11 ¢)
Consistency limit 39
Distinct consistency limit 39

Template:EDO intro

4501edo is a very strong high-limit system, distinctly consistent through the 39-odd-limit, and has the lowest 31- and 37-limit relative error of any equal temperament until 16808. The 4501m val likewise performs well in the 41- and 43-limit, with the lowest relative error of any equal temperament until 7361.

Prime harmonics

Approximation of prime harmonics in 4501edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
Error Absolute (¢) +0.000 +0.022 +0.000 +0.025 +0.026 +0.086 +0.088 +0.021 +0.119 +0.061 +0.043 +0.067 -0.091 +0.102 -0.055
Relative (%) +0.0 +8.4 +0.2 +9.5 +9.8 +32.1 +33.0 +7.8 +44.8 +22.8 +16.2 +25.0 -34.2 +38.2 -20.4
Steps
(reduced)
4501
(0)
7134
(2633)
10451
(1449)
12636
(3634)
15571
(2068)
16656
(3153)
18398
(394)
19120
(1116)
20361
(2357)
21866
(3862)
22299
(4295)
23448
(943)
24114
(1609)
24424
(1919)
25001
(2496)

Subsets and supersets

4501edo has subset edos 7 and 643.