List of rank-2 temperaments supported by EDOs

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Revision as of 19:05, 22 May 2012 by Wikispaces>igliashon (**Imported revision 338534104 - Original comment: **)
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This revision was by author igliashon and made on 2012-05-22 19:05:41 UTC.
The original revision id was 338534104.
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:

=Important Rank-2 Temperaments Supported in Small ED2's (9-18)= 

==9-ED2:== 
===Armodue Temperament=== 
**Generator:** 4\9 or 5\9 (533.33 or 666.67 cents)
**Period:** Octave (1200 cents)
**MOS scales:**
Pentatonic 2L3s: 1 3 1 1 3
Heptatonic 2L5s: 1 1 2 1 1 1 2
**JI Basis:** 7-limit
**Commas Tempered Out:** 135/128, 36/35

===August Temperament=== 
**Generator:** 1\9 or 2\9 (133.33 or 266.67 cents)
**Period:** 1/3-octave (400 cents)
**MOS scale:**
Hexatonic 3L3s: 1 2 1 2 1 2
**JI Basis:** 7-limit
**Commas Tempered Out:** 128/125, 36/35

==10-ED2:== 
===Dichotic Temperament=== 
**Generator:** 3\10 or 7\10 (360 or 840 cents)
**Period:** Octave (1200 cents)
**MOS scale:**
Heptatonic 3L4s: 2 1 1 2 1 2 1
//Important MODMOS:// 2 1 1 2 2 1 1--adds an extra 720-cent interval, similar to maqam rast
**JI Basis:** 2.3.5.7.13
**Commas Tempered Out:** 25/24, 65/64, 64/63

==11-ED2:== 
===Machine Temperament=== 
**Generator:** 2\11 or 9\11 (218.18 or 981.82 cents)
**Period:** Octave (1200 cents)
**MOS scale:**
Hexatonic 5L1s: 2 2 2 2 2 1
**JI Basis:** 2.7.9.11.15.17
**Commas Tempered Out:** 64/63, 99/98, 120/119, 121/119

===Oregon Temperament=== 
**Generator:** 3\11 or 8\11 (327.27 or 872.73 cents)
**Period:** Octave (1200 cents)
**MOS scale:**
Heptatonic 4L3s: 2 1 2 1 2 1 2
**JI Basis:** 2.7.9.11.15
**Commas Tempered Out:** 55/54, 64/63, 100/99

===Sentry Temperament=== 
**Generator:** 4\11 or 7\11 (436.36 or 763.64 cents)
**Period:** Octave (1200 cents)
**MOS scales:**
Pentatonic 3L2s: 1 3 1 3 3
Octatonic 3L5s: 1 1 2 1 1 2 1 2
**JI Basis:** 2.7.9.11.15
**Commas Tempered Out:** 245/243, 99/98, 55/54

Original HTML content:

<html><head><title>smallED2temperaments</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Important Rank-2 Temperaments Supported in Small ED2's (9-18)"></a><!-- ws:end:WikiTextHeadingRule:0 -->Important Rank-2 Temperaments Supported in Small ED2's (9-18)</h1>
 <br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="Important Rank-2 Temperaments Supported in Small ED2's (9-18)-9-ED2:"></a><!-- ws:end:WikiTextHeadingRule:2 -->9-ED2:</h2>
 <!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="Important Rank-2 Temperaments Supported in Small ED2's (9-18)-9-ED2:-Armodue Temperament"></a><!-- ws:end:WikiTextHeadingRule:4 -->Armodue Temperament</h3>
 <strong>Generator:</strong> 4\9 or 5\9 (533.33 or 666.67 cents)<br />
<strong>Period:</strong> Octave (1200 cents)<br />
<strong>MOS scales:</strong><br />
Pentatonic 2L3s: 1 3 1 1 3<br />
Heptatonic 2L5s: 1 1 2 1 1 1 2<br />
<strong>JI Basis:</strong> 7-limit<br />
<strong>Commas Tempered Out:</strong> 135/128, 36/35<br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="Important Rank-2 Temperaments Supported in Small ED2's (9-18)-9-ED2:-August Temperament"></a><!-- ws:end:WikiTextHeadingRule:6 -->August Temperament</h3>
 <strong>Generator:</strong> 1\9 or 2\9 (133.33 or 266.67 cents)<br />
<strong>Period:</strong> 1/3-octave (400 cents)<br />
<strong>MOS scale:</strong><br />
Hexatonic 3L3s: 1 2 1 2 1 2<br />
<strong>JI Basis:</strong> 7-limit<br />
<strong>Commas Tempered Out:</strong> 128/125, 36/35<br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Important Rank-2 Temperaments Supported in Small ED2's (9-18)-10-ED2:"></a><!-- ws:end:WikiTextHeadingRule:8 -->10-ED2:</h2>
 <!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="Important Rank-2 Temperaments Supported in Small ED2's (9-18)-10-ED2:-Dichotic Temperament"></a><!-- ws:end:WikiTextHeadingRule:10 -->Dichotic Temperament</h3>
 <strong>Generator:</strong> 3\10 or 7\10 (360 or 840 cents)<br />
<strong>Period:</strong> Octave (1200 cents)<br />
<strong>MOS scale:</strong><br />
Heptatonic 3L4s: 2 1 1 2 1 2 1<br />
<em>Important MODMOS:</em> 2 1 1 2 2 1 1--adds an extra 720-cent interval, similar to maqam rast<br />
<strong>JI Basis:</strong> 2.3.5.7.13<br />
<strong>Commas Tempered Out:</strong> 25/24, 65/64, 64/63<br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Important Rank-2 Temperaments Supported in Small ED2's (9-18)-11-ED2:"></a><!-- ws:end:WikiTextHeadingRule:12 -->11-ED2:</h2>
 <!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="Important Rank-2 Temperaments Supported in Small ED2's (9-18)-11-ED2:-Machine Temperament"></a><!-- ws:end:WikiTextHeadingRule:14 -->Machine Temperament</h3>
 <strong>Generator:</strong> 2\11 or 9\11 (218.18 or 981.82 cents)<br />
<strong>Period:</strong> Octave (1200 cents)<br />
<strong>MOS scale:</strong><br />
Hexatonic 5L1s: 2 2 2 2 2 1<br />
<strong>JI Basis:</strong> 2.7.9.11.15.17<br />
<strong>Commas Tempered Out:</strong> 64/63, 99/98, 120/119, 121/119<br />
<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h3&gt; --><h3 id="toc8"><a name="Important Rank-2 Temperaments Supported in Small ED2's (9-18)-11-ED2:-Oregon Temperament"></a><!-- ws:end:WikiTextHeadingRule:16 -->Oregon Temperament</h3>
 <strong>Generator:</strong> 3\11 or 8\11 (327.27 or 872.73 cents)<br />
<strong>Period:</strong> Octave (1200 cents)<br />
<strong>MOS scale:</strong><br />
Heptatonic 4L3s: 2 1 2 1 2 1 2<br />
<strong>JI Basis:</strong> 2.7.9.11.15<br />
<strong>Commas Tempered Out:</strong> 55/54, 64/63, 100/99<br />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h3&gt; --><h3 id="toc9"><a name="Important Rank-2 Temperaments Supported in Small ED2's (9-18)-11-ED2:-Sentry Temperament"></a><!-- ws:end:WikiTextHeadingRule:18 -->Sentry Temperament</h3>
 <strong>Generator:</strong> 4\11 or 7\11 (436.36 or 763.64 cents)<br />
<strong>Period:</strong> Octave (1200 cents)<br />
<strong>MOS scales:</strong><br />
Pentatonic 3L2s: 1 3 1 3 3<br />
Octatonic 3L5s: 1 1 2 1 1 2 1 2<br />
<strong>JI Basis:</strong> 2.7.9.11.15<br />
<strong>Commas Tempered Out:</strong> 245/243, 99/98, 55/54</body></html>
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