1506edo: Difference between revisions

Wikispaces>genewardsmith
**Imported revision 556740489 - Original comment: **
 
Wikispaces>FREEZE
No edit summary
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
The 1506 division divides the octave into 1506 parts of 0.7968 cents each. It is a very strong 13 and 17 limit division, since it is the first past 494 with a lower 13-limit [[Tenney-Euclidean_temperament_measures#TE simple badness|relative error]], and likewise the first with a lower 17-limit relative error. Like 494 it is distinctly consistent through the 17 limit. It tends sharp, all of the odd primes to 17 being tuned sharply. A basis for the 13 limit commas is {4096/4095, 6656/6655, 9801/9800, 105644/105625, 371293/371250}, and for the 17-limit commas, {4096/4095, 4914/4913, 5832/5831, 6656/6655, 9801/9800, 28561/28560, 105644/105625}.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2015-08-15 17:44:53 UTC</tt>.<br>
: The original revision id was <tt>556740489</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The 1506 division divides the octave into 1506 parts of 0.7968 cents each. It is a very strong 13 and 17 limit division, since it is the first past 494 with a lower 13-limit [[Tenney-Euclidean temperament measures#TE simple badness|relative error]], and likewise the first with a lower 17-limit relative error. Like 494 it is distinctly consistent through the 17 limit. It tends sharp, all of the odd primes to 17 being tuned sharply. A basis for the 13 limit commas is {4096/4095, 6656/6655, 9801/9800, 105644/105625, 371293/371250}, and for the 17-limit commas, {4096/4095, 4914/4913, 5832/5831, 6656/6655, 9801/9800, 28561/28560, 105644/105625}.</pre></div>
<h4>Original HTML content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;1506edo&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The 1506 division divides the octave into 1506 parts of 0.7968 cents each. It is a very strong 13 and 17 limit division, since it is the first past 494 with a lower 13-limit &lt;a class="wiki_link" href="/Tenney-Euclidean%20temperament%20measures#TE simple badness"&gt;relative error&lt;/a&gt;, and likewise the first with a lower 17-limit relative error. Like 494 it is distinctly consistent through the 17 limit. It tends sharp, all of the odd primes to 17 being tuned sharply. A basis for the 13 limit commas is {4096/4095, 6656/6655, 9801/9800, 105644/105625, 371293/371250}, and for the 17-limit commas, {4096/4095, 4914/4913, 5832/5831, 6656/6655, 9801/9800, 28561/28560, 105644/105625}.&lt;/body&gt;&lt;/html&gt;</pre></div>