Chromatic pairs: Difference between revisions

Revision as of 22:23, 5 March 2011

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 2011-03-05 22:23:11 UTC.

The original revision id was 207676666.

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:

By a //chromatic pair// is meant a pair of MOS in some rank two temperament (which may often be a [[Just intonation subgroups|subgroup temperament]]) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, smaller scale of the pair is called "albitonic" from the Latin word for "white".

==Greeley==
Subgroup: 2.5/3.7/3.11/3
Commas: 121/120, 126/125

POTE generator: ~11/10 = 156.055

Map: [<1 1 2 2|, <0 -2 -6 -1|]
EDOs: 8, 15, 23, 77, 100
Badness: 0.0634

[[greeley8|Eight note albitonic scale]]
[[greeley15|Fifteen note chromatic scale]]

==Pepperoni==
Subgroup: 2.3.11/7.13/7
Commas: 352/351, 364/363

POTE generator: ~3/2 = 704.052

Map: [<1 0 7 12|, <0 1 -4 -7|]
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271
Badness: 0.0659

[[pepperoni7|Seven note albitonic scale]]
[[pepperoni12|Twelve note chromatic scale]]

==Bridgetown==
Subgroup: 2.3.11/5.13/5
Commas: 352/351, 676/675

POTE generator: ~15/13 = 248.285

Map: [<1 0 -6 -1|, <0 2 9 3|]
EDOs: 5, 9, 14, 19, 24, 29
Badness: 0.0173

[[bridgetown9|Nine note albitonic scale]]
[[bridgetown14|Fourteen note chromatic scale]]

==Pompey==
Subgroup: 2.3.7.11
Commas: 896/891, 1029/1024

POTE generator: ~8/7 = 234.381

Map: [<1 1 3 6|, <0 3 -1 -13|]
EDOs: 5, 36, 41, 87, 128
Badness: 0.0164

[[pompey5|Five note pentacircle scale]]
[[pompey11|Eleven note albitonic scale]]
[[pompey16|Sixteen note chromatic scale]]

Original HTML content:

<html><head><title>Chromatic pairs</title></head><body>By a <em>chromatic pair</em> is meant a pair of MOS in some rank two temperament (which may often be a <a class="wiki_link" href="/Just%20intonation%20subgroups">subgroup temperament</a>) in which the smaller of the pair is analogous to Meantone[7], the diatonic scale, and the larger to Meantone[12], the chromatic scale. Because on a standard keyboard the smaller scale is given by the white keys, smaller scale of the pair is called &quot;albitonic&quot; from the Latin word for &quot;white&quot;.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Greeley"></a><!-- ws:end:WikiTextHeadingRule:0 -->Greeley</h2>
Subgroup: 2.5/3.7/3.11/3<br />
Commas: 121/120, 126/125<br />
<br />
POTE generator: ~11/10 = 156.055<br />
<br />
Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br />
EDOs: 8, 15, 23, 77, 100<br />
Badness: 0.0634<br />
<br />
<a class="wiki_link" href="/greeley8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="/greeley15">Fifteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h2&gt; --><h2 id="toc1"><a name="x-Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:2 -->Pepperoni</h2>
Subgroup: 2.3.11/7.13/7<br />
Commas: 352/351, 364/363<br />
<br />
POTE generator: ~3/2 = 704.052<br />
<br />
Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br />
EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br />
Badness: 0.0659<br />
<br />
<a class="wiki_link" href="/pepperoni7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="/pepperoni12">Twelve note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="x-Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:4 -->Bridgetown</h2>
Subgroup: 2.3.11/5.13/5<br />
Commas: 352/351, 676/675<br />
<br />
POTE generator: ~15/13 = 248.285<br />
<br />
Map: [&lt;1 0 -6 -1|, &lt;0 2 9 3|]<br />
EDOs: 5, 9, 14, 19, 24, 29<br />
Badness: 0.0173<br />
<br />
<a class="wiki_link" href="/bridgetown9">Nine note albitonic scale</a><br />
<a class="wiki_link" href="/bridgetown14">Fourteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="x-Pompey"></a><!-- ws:end:WikiTextHeadingRule:6 -->Pompey</h2>
Subgroup: 2.3.7.11<br />
Commas: 896/891, 1029/1024<br />
<br />
POTE generator: ~8/7 = 234.381<br />
<br />
Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
EDOs: 5, 36, 41, 87, 128<br />
Badness: 0.0164<br />
<br />
<a class="wiki_link" href="/pompey5">Five note pentacircle scale</a><br />
<a class="wiki_link" href="/pompey11">Eleven note albitonic scale</a><br />
<a class="wiki_link" href="/pompey16">Sixteen note chromatic scale</a></body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 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>2011-03-05 22:22:07 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-05 22:23:11 UTC</tt>.<br>
-: The original revision id was <tt>207676548</tt>.<br>
+: The original revision id was <tt>207676666</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>
@@ Line 60: / Line 60: @@
 [[pompey11|Eleven note albitonic scale]]
 [[pompey16|Sixteen note chromatic scale]]
-! pompey16.scl
-!
-Pompey[16] 2.3.7.11 subgroup scale in 128et
-!
-.12500
-.25000
-.37500
-.50000
-.62500
-.75000
-.87500
-.00000
-.12500
-.25000
-.37500
-.50000
-.62500
-.75000
-.87500
-/1
 </pre></div>
 <h4>Original HTML content:</h4>
@@ Line 136: / Line 115: @@
 &lt;a class="wiki_link" href="/pompey5"&gt;Five note pentacircle scale&lt;/a&gt;&lt;br /&gt;
 &lt;a class="wiki_link" href="/pompey11"&gt;Eleven note albitonic scale&lt;/a&gt;&lt;br /&gt;
-&lt;a class="wiki_link" href="/pompey16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
+&lt;a class="wiki_link" href="/pompey16"&gt;Sixteen note chromatic scale&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>
-! pompey16.scl&lt;br /&gt;
-!&lt;br /&gt;
-Pompey[16] 2.3.7.11 subgroup scale in 128et&lt;br /&gt;
-&lt;br /&gt;
-!&lt;br /&gt;
-.12500&lt;br /&gt;
-.25000&lt;br /&gt;
-.37500&lt;br /&gt;
-.50000&lt;br /&gt;
-.62500&lt;br /&gt;
-.75000&lt;br /&gt;
-.87500&lt;br /&gt;
-.00000&lt;br /&gt;
-.12500&lt;br /&gt;
-.25000&lt;br /&gt;
-.37500&lt;br /&gt;
-.50000&lt;br /&gt;
-.62500&lt;br /&gt;
-.75000&lt;br /&gt;
-.87500&lt;br /&gt;
-/1&lt;/body&gt;&lt;/html&gt;</pre></div>

Chromatic pairs: Difference between revisions

Revision as of 22:23, 5 March 2011

IMPORTED REVISION FROM WIKISPACES

Original Wikitext content:

Original HTML content:

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