Cataharry temperaments

From Xenharmonic Wiki
Revision as of 16:01, 15 February 2015 by Wikispaces>genewardsmith (**Imported revision 541032676 - 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 2015-02-15 16:01:40 UTC.
The original revision id was 541032676.
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:

Cataharry temperaments temper out the cataharry comma, |-4 9 -2 -2> = 19683/19600.

=Swetneus=
The swetneus temperament takes its name from the fact that an approximate swetismic neutral second, ~49/45, is the generator.

Commas: 19683/19600, 50421/50000

POTE generator: ~49/45 = 144.956

Map: [|1 4 8 8>, |0 -20 -47 -43>]
Wedgie: <<20 47 43 28 12 -32||
EDOs: 58, 91, 149, 505d, 654bd, 803bd
Badness: 0.1332

==11-limit==
Commas: 441/440, 3388/3375, 19683/19600

POTE generator: ~49/45 = 144.941

Map: [|1 4 8 8 13>, |0 -20 -47 -43 -79>]
EDOs: 58, 149, 207, 356e, 563cde, 919bcde
Badness: 0.0552

==13-limit==
Commas: 351/350, 441/440, 676/675, 847/845

POTE generator: ~49/45 = 144.939

Map: [|1 4 8 8 13 13>, |0 -20 -47 -43 -79 -77>]
EDOs: 58, 149, 207, 356e, 563cde, 919bcdef
Badness: 0.0289

Original HTML content:

<html><head><title>Cataharry temperaments</title></head><body>Cataharry temperaments temper out the cataharry comma, |-4 9 -2 -2&gt; = 19683/19600.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Swetneus"></a><!-- ws:end:WikiTextHeadingRule:0 -->Swetneus</h1>
The swetneus temperament takes its name from the fact that an approximate swetismic neutral second, ~49/45, is the generator.<br />
<br />
Commas: 19683/19600, 50421/50000<br />
<br />
POTE generator: ~49/45 = 144.956<br />
<br />
Map: [|1 4 8 8&gt;, |0 -20 -47 -43&gt;]<br />
Wedgie: &lt;&lt;20 47 43 28 12 -32||<br />
EDOs: 58, 91, 149, 505d, 654bd, 803bd<br />
Badness: 0.1332<br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Swetneus-11-limit"></a><!-- ws:end:WikiTextHeadingRule:2 -->11-limit</h2>
Commas: 441/440, 3388/3375, 19683/19600<br />
<br />
POTE generator: ~49/45 = 144.941<br />
<br />
Map: [|1 4 8 8 13&gt;, |0 -20 -47 -43 -79&gt;]<br />
EDOs: 58, 149, 207, 356e, 563cde, 919bcde<br />
Badness: 0.0552<br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Swetneus-13-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->13-limit</h2>
Commas: 351/350, 441/440, 676/675, 847/845<br />
<br />
POTE generator: ~49/45 = 144.939<br />
<br />
Map: [|1 4 8 8 13 13&gt;, |0 -20 -47 -43 -79 -77&gt;]<br />
EDOs: 58, 149, 207, 356e, 563cde, 919bcdef<br />
Badness: 0.0289</body></html>