140edo

Revision as of 15:32, 31 October 2011 by Wikispaces>genewardsmith (**Imported revision 270385078 - Original comment: **)

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This revision was by author genewardsmith and made on 2011-10-31 15:32:45 UTC.
The original revision id was 270385078.
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Original Wikitext content:

The 140 equal division divides the octave into 140 parts of 8.571 cents each. In the 5-limit, it tempers out 15625/15552, making it a kleismic system, and the kwazy comma, |-53 10 16>. It is most notable, however, in the 7-limit, where it tempers out 2401/2400, 5120/5103, 10976/10935 and 65625/65536. It supports the 7-limit rank-two temperaments tertiaseptal, hemififths, countercata and bisupermajor, and is a good tuning recommendation for countercata, the 53&140 temperament tempering out 15625/15552 and 5120/5103. In the 11-limit it tempers out 1331/1323, 385/384, 1375/1372, 6250/6237, 5632/5625 and 9801/9800, and in the 13-limit 325/324, 352/351, 847/845, 625/624, 676/675, 1001/1000, 1716/1715 and 2080/2079.

If we use the val <140 223 325 394| we obtain a tuning for [[Porcupine family|porcupine temperament]]; the generator 19\140 is 0.023 cents flat of the [[POTE tuning|POTE generator]].

Original HTML content:

<html><head><title>140edo</title></head><body>The 140 equal division divides the octave into 140 parts of 8.571 cents each. In the 5-limit, it tempers out 15625/15552, making it a kleismic system, and the kwazy comma, |-53 10 16&gt;. It is most notable, however, in the 7-limit, where it tempers out 2401/2400, 5120/5103, 10976/10935 and 65625/65536. It supports the 7-limit rank-two temperaments tertiaseptal, hemififths, countercata and bisupermajor, and is a good tuning recommendation for countercata, the 53&amp;140 temperament tempering out 15625/15552 and 5120/5103. In the 11-limit it tempers out 1331/1323, 385/384, 1375/1372, 6250/6237, 5632/5625 and 9801/9800, and in the 13-limit 325/324, 352/351, 847/845, 625/624, 676/675, 1001/1000, 1716/1715 and 2080/2079.<br />
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If we use the val &lt;140 223 325 394| we obtain a tuning for <a class="wiki_link" href="/Porcupine%20family">porcupine temperament</a>; the generator 19\140 is 0.023 cents flat of the <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>.</body></html>