496edo: Difference between revisions

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496 ~~EDO divides the octave into steps of 2.42 cents each.~~

==Theory==

~~{{primes in edo|496|columns=15}}~~

496edo is strongly related to the [[248edo]], but the patent vals differ on the mapping for 13. 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 ~~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.

===Harmonics===

~~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|###]]

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-EDO divides the octave into steps of 2.42 cents each.
+{{EDO intro|496}}
 ==Theory==
-{{primes in edo|496|columns=15}}
+edo is strongly related to the [[248edo]], but the patent vals differ on the mapping for 13. 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.
-edo 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.
+edo 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.
 is the 3rd perfect number, and its divisors are {{EDOs|1, 2, 4, 8, 16, 31, 62, 124, 248}}, the most notable being 31.
+===Harmonics===
-edo 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.
+{{harmonics in equal|496}}
 [[Category:Equal divisions of the octave|###]] <!-- 3-digit number -->