578edo
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 2013-10-05 22:44:03 UTC.
- The original revision id was 457120212.
- 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 //578 equal division// divides the octave into 578 equal parts of 2.076 cents each. It is contorted in the 5-limit, tempering out 32805/32768 with the same tuning as 289edo. It tempers out 10976/10935 and 65625/65536 in the 7-limit, supporting the 22&118 temperament, and 119098/117649 which together with the schisma gives 7-limit [[Schismatic family#Pogo|pogo temperament]], the 94&130 temperament. In the 11-limit it tempers out 540/539 and 4000/3993 and provides the [[optimal patent val]] for 11-limit pogo and the planar temperament [[Swetismic temperaments#Hades|hades]]. In the 13-limit, it tempers out 729/729, 1575/1573, 1716/1715 and provides the optimal patent val for 13-limit pogo, as well as other temperaments tempering out 1716/1715, the rank five temperament for which it also provides the optimal patent val.
Original HTML content:
<html><head><title>578edo</title></head><body>The <em>578 equal division</em> divides the octave into 578 equal parts of 2.076 cents each. It is contorted in the 5-limit, tempering out 32805/32768 with the same tuning as 289edo. It tempers out 10976/10935 and 65625/65536 in the 7-limit, supporting the 22&118 temperament, and 119098/117649 which together with the schisma gives 7-limit <a class="wiki_link" href="/Schismatic%20family#Pogo">pogo temperament</a>, the 94&130 temperament. In the 11-limit it tempers out 540/539 and 4000/3993 and provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for 11-limit pogo and the planar temperament <a class="wiki_link" href="/Swetismic%20temperaments#Hades">hades</a>. In the 13-limit, it tempers out 729/729, 1575/1573, 1716/1715 and provides the optimal patent val for 13-limit pogo, as well as other temperaments tempering out 1716/1715, the rank five temperament for which it also provides the optimal patent val.</body></html>