Octagar temperaments

From Xenharmonic Wiki
Revision as of 14:18, 20 May 2012 by Wikispaces>genewardsmith (**Imported revision 337589808 - Original comment: **)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author genewardsmith and made on 2012-05-20 14:18:02 UTC.
The original revision id was 337589808.
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:

Octagar temperaments temper out the octagar comma, |5 -4 3 -2> = 4000/3969.

=Slendi=
Commas: 4000/3969, 84035/82944

POTE generator: ~49/48 = 29.181

Map: [<1 2 3 3|, <0 -17 -28 -8|]
Wedgie: <<17 28 8 5 -35 -60||
EDOs: 41, 206, 247bc, 288bcd, 329bcd
Badness: 0.1429

==11-limit==
Commas: 100/99, 245/242, 46656/46585

POTE generator: ~49/48 = 29.180

Map: [<1 2 3 3 4|, <0 -17 -28 -8 -22|]
EDOs: 41, 206e
Badness: 0.0632

==13-limit==
Commas: 100/99, 144/143, 245/242, 343/338

POTE generator: ~49/48 = 29.125

Map: [<1 2 3 3 4 4|, <0 -17 -28 -8 -22 -12|]
EDOs: 41, 124ef, 165ef
Badness: 0.0436

Original HTML content:

<html><head><title>Octagar temperaments</title></head><body>Octagar temperaments temper out the octagar comma, |5 -4 3 -2&gt; = 4000/3969.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Slendi"></a><!-- ws:end:WikiTextHeadingRule:0 -->Slendi</h1>
Commas: 4000/3969, 84035/82944<br />
<br />
POTE generator: ~49/48 = 29.181<br />
<br />
Map: [&lt;1 2 3 3|, &lt;0 -17 -28 -8|]<br />
Wedgie: &lt;&lt;17 28 8 5 -35 -60||<br />
EDOs: 41, 206, 247bc, 288bcd, 329bcd<br />
Badness: 0.1429<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Slendi-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
Commas: 100/99, 245/242, 46656/46585<br />
<br />
POTE generator: ~49/48 = 29.180<br />
<br />
Map: [&lt;1 2 3 3 4|, &lt;0 -17 -28 -8 -22|]<br />
EDOs: 41, 206e<br />
Badness: 0.0632<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Slendi-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2>
Commas: 100/99, 144/143, 245/242, 343/338<br />
<br />
POTE generator: ~49/48 = 29.125<br />
<br />
Map: [&lt;1 2 3 3 4 4|, &lt;0 -17 -28 -8 -22 -12|]<br />
EDOs: 41, 124ef, 165ef<br />
Badness: 0.0436</body></html>