496edo: Difference between revisions
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496edo is contorted order 2 up to the 11-limit, meaning it shares the mapping with 248edo. As such, in the 11-limit it is a compound of two chains of 11-limit bischismic temperaments. In the 13-limit patent val, first step where 496edo is not contorted, it tempers out 4225/4224. | 496edo is contorted order 2 up to the 11-limit, meaning it shares the mapping with 248edo. As such, in the 11-limit it is a compound of two chains of 11-limit bischismic temperaments. In the 13-limit patent val, first step where 496edo is not contorted, it tempers out 4225/4224. | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | |||
Revision as of 01:00, 4 July 2022
496 EDO divides the octave into steps of 2.42 cents each.
Theory
Script error: No such module "primes_in_edo". 496edo is good with the 2.3.11.19 subgroup, for low-complexity just intonation. Higher limits that it appreciates are 31, 37, and 47.
In the 2.3.11.19 subgroup, 496edo tempers out 131072/131043.
496 is the 3rd perfect number, and its divisors are 1, 2, 4, 8, 16, 31, 62, 124, 248, the most notable being 31.
496edo is contorted order 2 up to the 11-limit, meaning it shares the mapping with 248edo. As such, in the 11-limit it is a compound of two chains of 11-limit bischismic temperaments. In the 13-limit patent val, first step where 496edo is not contorted, it tempers out 4225/4224.