496edo: Difference between revisions
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{{EDO intro|496}} | {{EDO intro|496}} | ||
==Theory== | ==Theory== | ||
496edo is strongly related to the [[248edo]], but the patent vals differ on the mapping for 13 | 496edo is strongly related to the [[248edo]], but the patent vals differ on the mapping for 13. As such, in the 11-limit it supports 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 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. | 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 {{EDOs|1, 2, 4, 8, 16, 31, 62, 124, 248}}, the most notable being 31. | 496 is the 3rd perfect number, and its divisors are {{EDOs|1, 2, 4, 8, 16, 31, 62, 124, 248}}, the most notable being 31. | ||
=== | ===Odd harmonics=== | ||
{{harmonics in equal|496}} | {{harmonics in equal|496}} | ||
[[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||