612edo

Revision as of 18:40, 4 July 2011 by Wikispaces>genewardsmith (**Imported revision 239965303 - Original comment: **)
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This revision was by author genewardsmith and made on 2011-07-04 18:40:43 UTC.
The original revision id was 239965303.
The revision comment was:

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Original Wikitext content:

The //612 equal division// divides the octave into 612 equal parts of 1.961 cents each. It is a very strong [[5-limit]] system, a fact noted by Bosanquet and Barbour. It tempers out the sasktel comma, |485 -306>, in the 3-limit and  in the 5-limit |-52 -17 34>, the septendecima, |1 -27 18>, the ennealimma, |-53 10 16>, the kwazy comma, |54 -37 2>, the monzisma, |-107 47 14>, the fortune comma, and |161 -84 -12>, the atom. In the 7-limit it tempers out 2401/2400 and 4375/4374, so that it supports [[Ragismic microtemperaments#Ennealimmal|ennealimmal temperament]], and in fact provides the [[optimal patent val]] for ennealimmal. The 7-limit val for 612 can be characterized as the ennealimmal commas plus the kwasy comma. In the 11-limit, it tempers out 3025/3024 and 9801/9800, so that 612 supports [[Ragismic microtemperaments#Ennealimmal|hemiennealimmal temperament]].

Original HTML content:

<html><head><title>612edo</title></head><body>The <em>612 equal division</em> divides the octave into 612 equal parts of 1.961 cents each. It is a very strong <a class="wiki_link" href="/5-limit">5-limit</a> system, a fact noted by Bosanquet and Barbour. It tempers out the sasktel comma, |485 -306&gt;, in the 3-limit and  in the 5-limit |-52 -17 34&gt;, the septendecima, |1 -27 18&gt;, the ennealimma, |-53 10 16&gt;, the kwazy comma, |54 -37 2&gt;, the monzisma, |-107 47 14&gt;, the fortune comma, and |161 -84 -12&gt;, the atom. In the 7-limit it tempers out 2401/2400 and 4375/4374, so that it supports <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">ennealimmal temperament</a>, and in fact provides the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for ennealimmal. The 7-limit val for 612 can be characterized as the ennealimmal commas plus the kwasy comma. In the 11-limit, it tempers out 3025/3024 and 9801/9800, so that 612 supports <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal">hemiennealimmal temperament</a>.</body></html>