460edo
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author genewardsmith and made on 2011-07-15 14:54:02 UTC.
- The original revision id was 241513643.
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Original Wikitext content:
The //460 equal division// divides the octave into 460 equal parts of 2.609 cents each. It is a very strong 19-limit system and is uniquely [[consistent]] to the 21-limit. It tempers out the schisma, 32805/32768, in the 5-limit and 4375/4374 and 65536/65625 in the 7-limit, so that it supports [[Schismatic family#Pontiac|pontiac temperament]]. In the 11-limit it tempers of 43923/43904, 3025/3024 and 9801/9800; in the 13-limit 1001/1000, 4225/4224 and 10648/10647; in the 17-limit 833/832, 1089/1088, 1225/1224, 1701/1700, 2058/2057, 2431/2430, 2601/2600 and 4914/4913; and in the 19-limit 1331/1330, 1445/1444, 1521/1520, 1540/1539, 1729/1728, 2376/2375, 2926/2925, 3136/3135, 3250/3249 and 4200/4199. It serves as the [[optimal patent val]] for various temperaments such as the rank five temperament tempering out 833/832 and 1001/1000.
Original HTML content:
<html><head><title>460edo</title></head><body>The <em>460 equal division</em> divides the octave into 460 equal parts of 2.609 cents each. It is a very strong 19-limit system and is uniquely <a class="wiki_link" href="/consistent">consistent</a> to the 21-limit. It tempers out the schisma, 32805/32768, in the 5-limit and 4375/4374 and 65536/65625 in the 7-limit, so that it supports <a class="wiki_link" href="/Schismatic%20family#Pontiac">pontiac temperament</a>. In the 11-limit it tempers of 43923/43904, 3025/3024 and 9801/9800; in the 13-limit 1001/1000, 4225/4224 and 10648/10647; in the 17-limit 833/832, 1089/1088, 1225/1224, 1701/1700, 2058/2057, 2431/2430, 2601/2600 and 4914/4913; and in the 19-limit 1331/1330, 1445/1444, 1521/1520, 1540/1539, 1729/1728, 2376/2375, 2926/2925, 3136/3135, 3250/3249 and 4200/4199. It serves as the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for various temperaments such as the rank five temperament tempering out 833/832 and 1001/1000.</body></html>