Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 211876668 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 211884268 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | 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>2011-03-18 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-18 17:05:17 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>211884268</tt>.<br> | ||
: The revision comment was: <tt></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> | The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br> | ||
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[[terrain9|Nine note albitonic scale]] | [[terrain9|Nine note albitonic scale]] | ||
[[terrain15|Fifteen note chromatic scale]] | [[terrain15|Fifteen note chromatic scale]] | ||
=Bridgetown= | |||
Subgroup: 2.3.11/5.13/5 | |||
Commas: 352/351, 676/675 | |||
Related temperament: [[The Archipelago|barabdos]] | |||
POTE generator: ~15/13 = 248.285 | |||
Map: [<1 0 -6 -1|, <0 2 9 3|] | |||
EDOs: 5, 9, 14, 19, 24, 29 | |||
Error: 0.8996 cents | |||
[[bridgetown9|Nine note albitonic scale]] | |||
[[bridgetown14|Fourteen note chromatic scale]] | |||
=Cata= | |||
Subgroup: 2.3.5.13 | |||
Commas: 325/324, 625/624 | |||
Related temperament: [[Kleismic family|catakleismic]] | |||
POTE generator: ~6/5 = 317.076 | |||
Map: [<1 0 1 0|, <0 6 5 14|] | |||
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246 | |||
Error: 0.9355 cents | |||
[[cata7|Seven note albitonic scale]] | |||
[[cata11|Eleven note mega albitonic scale]] | |||
[[cata15|Fifteen note chromatic scale]] | |||
[[cata19|Nineteen note mega chromatic scale]] | |||
=Pepperoni= | |||
Subgroup: 2.3.11/7.13/7 | |||
Commas: 352/351, 364/363 | |||
Related temperament: [[Margo Schulter]]'s [[Pepper temperament|pepper temperament]] | |||
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 | |||
Error: 1.298 cents | |||
[[pepperoni7|Seven note albitonic scale]] | |||
[[pepperoni12|Twelve note chromatic scale]] | |||
=Nestoria= | =Nestoria= | ||
| Line 52: | Line 96: | ||
[[photia7|Seven note albitonic scale]] | [[photia7|Seven note albitonic scale]] | ||
[[photia12|Twelve note chromatic scale]] | [[photia12|Twelve note chromatic scale]] | ||
=Huntington= | =Huntington= | ||
| Line 96: | Line 110: | ||
[[huntington10|Ten note albitonic scale]] | [[huntington10|Ten note albitonic scale]] | ||
[[huntington17|Seventeen note chromatic scale]] | [[huntington17|Seventeen note chromatic scale]] | ||
=Roulette= | =Roulette= | ||
| Line 142: | Line 142: | ||
[[baldy17|Seventeen note chromatic scale]] | [[baldy17|Seventeen note chromatic scale]] | ||
= | =Bossier= | ||
Subgroup: 2 | Subgroup: 2.7.11.13 | ||
Commas: | Commas: 1573/1569, 15488/15379 | ||
POTE generator: ~11 | POTE generator: ~14/11 = 421.309 | ||
Map: [<1 1 | Map: [<1 0 1 3|, <0 8 7 2|] | ||
EDOs: | EDOs: 17, 20, 37, 57, 94, 225 | ||
Error: | Error: 2.665 cents | ||
[[ | [[bossier8|Eight note albitonic scale]] | ||
[[ | [[bossier11|Eleven note chromatic scale]] | ||
[[ | [[bossier14|Fourteen note mega chromatic scale]] | ||
=Radon= | =Radon= | ||
| Line 172: | Line 171: | ||
[[radon16|Sixteen note chromatic scale]] | [[radon16|Sixteen note chromatic scale]] | ||
= | =Hemif= | ||
Subgroup: 2.3.11 | Subgroup: 2.3.7.11.13 | ||
Commas: | Commas: 144/143, 243/242, 364/363 | ||
Related temperament: [[ | Related temperament: [[Breedsmic temperaments|Hemififths]] | ||
POTE generator: ~ | POTE generator: ~11/9 = 351.691 | ||
Map: [<1 | Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] | ||
EDOs: | EDOs: 7, 10, 17, 24, 41, 58 | ||
Error: | Error: 4.867 cents | ||
[[ | [[hemif7|Seven note haplotonic scale]] | ||
[[ | [[hemif10|Ten note albitonic scale]] | ||
[[hemif17|Seventeen note chromatic scale]] | |||
=Skwares= | =Skwares= | ||
| Line 200: | Line 200: | ||
[[skwares11|Eleven note mega albitonic scale]] | [[skwares11|Eleven note mega albitonic scale]] | ||
[[skwares14|Fourteen note chromatic scale]] | [[skwares14|Fourteen note chromatic scale]] | ||
=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 | |||
Error: 5.404 cents | |||
[[greeley8|Eight note albitonic scale]] | |||
[[greeley15|Fifteen note chromatic scale]] | |||
=Mohaha= | |||
Subgroup: 2.3.5.11 | |||
Commas: 81/80, 121/120 | |||
Related temperament: [[Meantone family|mohajira]] | |||
POTE generator: ~11/9 = 348.094 | |||
Map: [<1 1 0 2|, <0 2 8 5|] | |||
EDOs: 7, 10, 17, 24, 31, 131 | |||
Error: 6.733 cents | |||
[[mohaha7|Seven note albitonic scale]] | |||
[[mohaha10|Ten note chromatic scale]] | |||
==Mohoho== | |||
Subgroup: 2.3.5.11.13 | |||
Commas: 66/65, 81/80, 121/120 | |||
POTE generator: ~11/9 = 348.916 | |||
Map: [<1 1 0 2 4|, <0 2 8 5 -1|] | |||
EDOs: 7, 10, 17, 24, 31, 55 | |||
Error: 9.556 cents | |||
=Tutone= | =Tutone= | ||
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[[leantone7|Seven note albitonic scale]] | [[leantone7|Seven note albitonic scale]] | ||
[[leantone13|Thirteen note chromatic scale]] | [[leantone13|Thirteen note chromatic scale]] | ||
=Score= | =Score= | ||
| Line 322: | Line 335: | ||
[[augment9|Nine note albitonic scale]] | [[augment9|Nine note albitonic scale]] | ||
[[augment12|Twelve note chromatic scale]] | [[augment12|Twelve note chromatic scale]] | ||
</pre></div> | </pre></div> | ||
<h4>Original HTML content:</h4> | <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"><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, the smaller scale of the pair is called &quot;albitonic&quot; from the Latin word for &quot;white&quot;. Also included at times are &quot;haplotonic&quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with <a class="wiki_link" href="/Target%20tunings">tuning target</a> the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.<br /> | <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"><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, the smaller scale of the pair is called &quot;albitonic&quot; from the Latin word for &quot;white&quot;. Also included at times are &quot;haplotonic&quot; scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with <a class="wiki_link" href="/Target%20tunings">tuning target</a> the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextTocRule:46:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --> | <a href="# | <!-- ws:start:WikiTextTocRule:46:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:46 --><!-- ws:start:WikiTextTocRule:47: --><a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:47 --><!-- ws:start:WikiTextTocRule:48: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:48 --><!-- ws:start:WikiTextTocRule:49: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:49 --><!-- ws:start:WikiTextTocRule:50: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:50 --><!-- ws:start:WikiTextTocRule:51: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:51 --><!-- ws:start:WikiTextTocRule:52: --><!-- ws:end:WikiTextTocRule:52 --><!-- ws:start:WikiTextTocRule:53: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:53 --><!-- ws:start:WikiTextTocRule:54: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:54 --><!-- ws:start:WikiTextTocRule:55: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:55 --><!-- ws:start:WikiTextTocRule:56: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:56 --><!-- ws:start:WikiTextTocRule:57: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:57 --><!-- ws:start:WikiTextTocRule:58: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:58 --><!-- ws:start:WikiTextTocRule:59: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:59 --><!-- ws:start:WikiTextTocRule:60: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:60 --><!-- ws:start:WikiTextTocRule:61: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:61 --><!-- ws:start:WikiTextTocRule:62: --><!-- ws:end:WikiTextTocRule:62 --><!-- ws:start:WikiTextTocRule:63: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:63 --><!-- ws:start:WikiTextTocRule:64: --><!-- ws:end:WikiTextTocRule:64 --><!-- ws:start:WikiTextTocRule:65: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:65 --><!-- ws:start:WikiTextTocRule:66: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:66 --><!-- ws:start:WikiTextTocRule:67: --><!-- ws:end:WikiTextTocRule:67 --><!-- ws:start:WikiTextTocRule:68: --><!-- ws:end:WikiTextTocRule:68 --><!-- ws:start:WikiTextTocRule:69: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:69 --><!-- ws:start:WikiTextTocRule:70: --> | ||
<!-- ws:end:WikiTextTocRule:70 --><br /> | <!-- ws:end:WikiTextTocRule:70 --><br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:0 -->Terrain</h1> | ||
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<a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br /> | <a class="wiki_link" href="/terrain15">Fifteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:2 -->Bridgetown</h1> | ||
Subgroup: 2.3.11/5.13/5<br /> | |||
Commas: 352/351, 676/675<br /> | |||
Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabdos</a><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 /> | |||
Error: 0.8996 cents<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:4:&lt;h1&gt; --><h1 id="toc2"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:4 -->Cata</h1> | |||
Subgroup: 2.3.5.13<br /> | |||
Commas: 325/324, 625/624<br /> | |||
Related temperament: <a class="wiki_link" href="/Kleismic%20family">catakleismic</a><br /> | |||
<br /> | |||
POTE generator: ~6/5 = 317.076<br /> | |||
<br /> | |||
Map: [&lt;1 0 1 0|, &lt;0 6 5 14|]<br /> | |||
EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<br /> | |||
Error: 0.9355 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="/cata7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="/cata11">Eleven note mega albitonic scale</a><br /> | |||
<a class="wiki_link" href="/cata15">Fifteen note chromatic scale</a><br /> | |||
<a class="wiki_link" href="/cata19">Nineteen note mega chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:6 -->Pepperoni</h1> | |||
Subgroup: 2.3.11/7.13/7<br /> | |||
Commas: 352/351, 364/363<br /> | |||
Related temperament: <a class="wiki_link" href="/Margo%20Schulter">Margo Schulter</a>'s <a class="wiki_link" href="/Pepper%20temperament">pepper temperament</a><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 /> | |||
Error: 1.298 cents<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:8:&lt;h1&gt; --><h1 id="toc4"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:8 -->Nestoria</h1> | |||
Subgroup: 2.3.5.19<br /> | Subgroup: 2.3.5.19<br /> | ||
Commas: 361/360, 513/512<br /> | Commas: 361/360, 513/512<br /> | ||
| Line 370: | Line 414: | ||
<a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Nestoria-Photia"></a><!-- ws:end:WikiTextHeadingRule:10 -->Photia</h2> | ||
Subgroup 2.3.5.17.19<br /> | Subgroup 2.3.5.17.19<br /> | ||
Commas: 171/170, 256/255, 324/323<br /> | Commas: 171/170, 256/255, 324/323<br /> | ||
| Line 384: | Line 428: | ||
<a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:12 -->Huntington</h1> | ||
Subgroup: 2.5.7.13<br /> | Subgroup: 2.5.7.13<br /> | ||
Commas: 640/637, 10985/10976<br /> | Commas: 640/637, 10985/10976<br /> | ||
| Line 427: | Line 441: | ||
<a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br /> | <a class="wiki_link" href="/huntington10">Ten note albitonic scale</a><br /> | ||
<a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br /> | <a class="wiki_link" href="/huntington17">Seventeen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:14 -->Roulette</h1> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:14 -->Roulette</h1> | ||
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<a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br /> | <a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name=" | <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:18 -->Bossier</h1> | ||
Subgroup: 2 | Subgroup: 2.7.11.13<br /> | ||
Commas: | Commas: 1573/1569, 15488/15379<br /> | ||
<br /> | <br /> | ||
POTE generator: ~11 | POTE generator: ~14/11 = 421.309<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 | Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br /> | ||
EDOs: | EDOs: 17, 20, 37, 57, 94, 225<br /> | ||
Error: | Error: 2.665 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/bossier8">Eight note albitonic scale</a><br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/bossier11">Eleven note chromatic scale</a><br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/bossier14">Fourteen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:20 -->Radon</h1> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:20 -->Radon</h1> | ||
| Line 503: | Line 502: | ||
<a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br /> | <a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name=" | <!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:22 -->Hemif</h1> | ||
Subgroup: 2.3.11 | Subgroup: 2.3.7.11.13<br /> | ||
Commas: | Commas: 144/143, 243/242, 364/363<br /> | ||
Related temperament: <a class="wiki_link" href="/ | Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br /> | ||
<br /> | <br /> | ||
POTE generator: ~ | POTE generator: ~11/9 = 351.691<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 | Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br /> | ||
EDOs: | EDOs: 7, 10, 17, 24, 41, 58<br /> | ||
Error: | Error: 4.867 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/hemif10">Ten note albitonic scale</a><br /> | ||
<a class="wiki_link" href="/hemif17">Seventeen note chromatic scale</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:24 -->Skwares</h1> | <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:24 -->Skwares</h1> | ||
| Line 532: | Line 532: | ||
<a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br /> | <a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:26 -->Greeley</h1> | ||
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 /> | |||
Error: 5.404 cents<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:28:&lt;h1&gt; --><h1 id="toc14"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:28 -->Mohaha</h1> | |||
Subgroup: 2.3.5.11<br /> | |||
Commas: 81/80, 121/120<br /> | |||
Related temperament: <a class="wiki_link" href="/Meantone%20family">mohajira</a><br /> | |||
<br /> | |||
POTE generator: ~11/9 = 348.094<br /> | |||
<br /> | |||
Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br /> | |||
EDOs: 7, 10, 17, 24, 31, 131<br /> | |||
Error: 6.733 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="/mohaha7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="/mohaha10">Ten note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:30 -->Mohoho</h2> | |||
Subgroup: 2.3.5.11.13<br /> | |||
Commas: 66/65, 81/80, 121/120<br /> | |||
<br /> | |||
POTE generator: ~11/9 = 348.916<br /> | |||
<br /> | |||
Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br /> | |||
EDOs: 7, 10, 17, 24, 31, 55<br /> | |||
Error: 9.556 cents<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:32 -->Tutone</h1> | |||
Subgroup: 2.9.5.7.11<br /> | Subgroup: 2.9.5.7.11<br /> | ||
Commas: 81/80, 99/98, 126/125<br /> | Commas: 81/80, 99/98, 126/125<br /> | ||
| Line 547: | Line 584: | ||
<a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Tutone-Leantone"></a><!-- ws:end:WikiTextHeadingRule:34 -->Leantone</h2> | ||
Subgroup: 2.9.5.7.11<br /> | Subgroup: 2.9.5.7.11<br /> | ||
Commas: 45/44, 56/55, 81/80<br /> | Commas: 45/44, 56/55, 81/80<br /> | ||
| Line 562: | Line 599: | ||
<a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br /> | <a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:36 -->Score</h1> | ||
Subgroup: 2.7.11.13<br /> | Subgroup: 2.7.11.13<br /> | ||
Commas: 343/338, 847/832<br /> | Commas: 343/338, 847/832<br /> | ||
| Line 601: | Line 614: | ||
<a class="wiki_link" href="/score11">Eleven note chromatic scale</a><br /> | <a class="wiki_link" href="/score11">Eleven note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:38 -->Supra</h1> | ||
Subgroup: 2.3.7.11<br /> | Subgroup: 2.3.7.11<br /> | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
| Line 615: | Line 628: | ||
<a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br /> | <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:40:&lt;h2&gt; --><h2 id="toc20"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:40 -->Supraphon</h2> | ||
Subgroup: 2.3.7.11.13<br /> | Subgroup: 2.3.7.11.13<br /> | ||
Commas: 64/63, 78/77, 99/98<br /> | Commas: 64/63, 78/77, 99/98<br /> | ||
| Line 625: | Line 638: | ||
Error: 10.534 cents<br /> | Error: 10.534 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:42 -->Machine</h2> | ||
Subgroup: 2.9.7.11<br /> | Subgroup: 2.9.7.11<br /> | ||
Commas: 64/63, 99/98<br /> | Commas: 64/63, 99/98<br /> | ||
| Line 639: | Line 652: | ||
<a class="wiki_link" href="/machine11">Eleven note chromatic scale</a><br /> | <a class="wiki_link" href="/machine11">Eleven note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:44 -->Augment</h1> | ||
Subgroup: 2.5.7.11<br /> | Subgroup: 2.5.7.11<br /> | ||
Commas: 56/55, 128/125<br /> | Commas: 56/55, 128/125<br /> | ||
| Line 652: | Line 665: | ||
<a class="wiki_link" href="/augment6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="/augment6">Six note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="/augment9">Nine note albitonic scale</a><br /> | <a class="wiki_link" href="/augment9">Nine note albitonic scale</a><br /> | ||
<a class="wiki_link" href="/augment12">Twelve | <a class="wiki_link" href="/augment12">Twelve note chromatic scale</a></body></html></pre></div> | ||