294edo

Revision as of 20:07, 23 October 2011 by Wikispaces>genewardsmith (**Imported revision 267720748 - Original comment: **)

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This revision was by author genewardsmith and made on 2011-10-23 20:07:34 UTC.
The original revision id was 267720748.
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 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and |54 -37 2>, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the [[optimal patent val]] for [[Trimyna family|trymyna temperament]] tempering out the trymyna, as well as its 11-limit extension. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting [[Mirkwai clan#Mirkat|mirkat temperament]], whereas 294c tempers out 126/125 and 1029/1024, supporting [[Starling temperaments#Valentine temperament|valentine temperament]].

294 = 2*3*49, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.

Original HTML content:

<html><head><title>294edo</title></head><body>The 294 equal division divides the octave into 294 parts of 4.082 cents each. It has a very accurate fifth, only 0.086 cents sharp, but it has a 5/4 which is 1.441 cents sharp and a 7/4 which is 1.479 cents flat, so that 7/5 is 2.920 cents flat. In the 5-limit it tempers out 393216/390625, the wuerschmidt comma, and |54 -37 2&gt;, the monzisma. The patent val tempers out 10976/10935, the hemimage comma, and 50421/50000, the trimyna comma, and supplies the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for <a class="wiki_link" href="/Trimyna%20family">trymyna temperament</a> tempering out the trymyna, as well as its 11-limit extension. The 294d val tempers out 16875/16807 and 19683/19600 instead, supporting <a class="wiki_link" href="/Mirkwai%20clan#Mirkat">mirkat temperament</a>, whereas 294c tempers out 126/125 and 1029/1024, supporting <a class="wiki_link" href="/Starling%20temperaments#Valentine temperament">valentine temperament</a>.<br />
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294 = 2*3*49, and has divisors 2, 3, 6, 7, 14, 21, 42, 49, 98 and 147.</body></html>