289edo
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 2011-07-02 16:26:00 UTC.
- The original revision id was 239769421.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
The //289 equal temperament// divides the octave into 289 equal parts of 4.152 cents each. It is the [[optimal patent val]] for [[13-limit]] [[Werckismic temperaments#History|history temperament]], which tempers out 364/363, 441/440 and 1001/1000, and provides a good tuning for the 11-limit version also, and is also the optimal patent val for [[Schismatic family|sextilififths]] in both the 11- and 13-limit. It is uniquely consist in the 9-limit, and tempers out the schisma, 32805/32768 in the 5-limit; 4375/4374 and 65625/65536 in the 7-limit; 441/440 and 4000/3993 in the 11-limit; and 364/363, 676/675, 1001/1000, 1575/1573 and 2080/2079 in the 13-limit.
Original HTML content:
<html><head><title>289edo</title></head><body>The <em>289 equal temperament</em> divides the octave into 289 equal parts of 4.152 cents each. It is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/13-limit">13-limit</a> <a class="wiki_link" href="/Werckismic%20temperaments#History">history temperament</a>, which tempers out 364/363, 441/440 and 1001/1000, and provides a good tuning for the 11-limit version also, and is also the optimal patent val for <a class="wiki_link" href="/Schismatic%20family">sextilififths</a> in both the 11- and 13-limit. It is uniquely consist in the 9-limit, and tempers out the schisma, 32805/32768 in the 5-limit; 4375/4374 and 65625/65536 in the 7-limit; 441/440 and 4000/3993 in the 11-limit; and 364/363, 676/675, 1001/1000, 1575/1573 and 2080/2079 in the 13-limit.</body></html>