3395edo
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- This revision was by author genewardsmith and made on 2015-08-18 11:30:28 UTC.
- The original revision id was 556883155.
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Original Wikitext content:
The **3395** division divides the octave into 3395 equal steps of 0.35346 cents each. It is an extremely strong 17- and 19-limit system, and a [[The Riemann Zeta Function and Tuning#Zeta EDO lists|zeta peak, integral and gap edo]]. It has a lower 17-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]] than any edo until [[7033edo|7033]], and a lower 19-limit relative error than any edo until [[8269edo|8269]]. A basis for the 17-limit commas is {6656/6655, 12376/12375, 28561/28560, 31213/31212, 37180/37179, 937125/937024}, and for the 19-limit, {6656/6655, 12376/12375, 12636/12635, 13377/13376, 14365/14364, 23409/23408, 28561/28560}.Original HTML content:
<html><head><title>3395edo</title></head><body>The <strong>3395</strong> division divides the octave into 3395 equal steps of 0.35346 cents each. It is an extremely strong 17- and 19-limit system, and a <a class="wiki_link" href="/The%20Riemann%20Zeta%20Function%20and%20Tuning#Zeta EDO lists">zeta peak, integral and gap edo</a>. It has a lower 17-limit <a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness">relative error</a> than any edo until <a class="wiki_link" href="/7033edo">7033</a>, and a lower 19-limit relative error than any edo until <a class="wiki_link" href="/8269edo">8269</a>. A basis for the 17-limit commas is {6656/6655, 12376/12375, 28561/28560, 31213/31212, 37180/37179, 937125/937024}, and for the 19-limit, {6656/6655, 12376/12375, 12636/12635, 13377/13376, 14365/14364, 23409/23408, 28561/28560}.</body></html>