Chromatic pairs: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 207676026 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 207676456 - 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>2011-03-05 22: | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-05 22:21:12 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>207676456</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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Badness: 0.0164 | Badness: 0.0164 | ||
[[pompey5|Five note pentacircle scale]] | |||
[[pompey11|Eleven note albitonic scale]] | |||
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[[pompey16|Sixteen note chromatic scale]] | |||
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< | <a class="wiki_link" href="/pompey5">Five note pentacircle scale</a><br /> | ||
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< | <a class="wiki_link" href="/pompey11">Eleven note albitonic scale</a><br /> | ||
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Revision as of 22:21, 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 22:21:12 UTC.
- The original revision id was 207676456.
- 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]] ! pompey11.scl ! Pompey[11] 2.3.7.11 subgroup scale in 128et 11 ! 206.25000 234.37500 440.62500 468.75000 496.87500 703.12500 731.25000 937.50000 965.62500 1171.87500 2/1 [[pompey16|Sixteen note chromatic scale]] ! pompey16.scl ! Pompey[16] 2.3.7.11 subgroup scale in 128et 16 ! 28.12500 56.25000 234.37500 262.50000 290.62500 468.75000 496.87500 525.00000 553.12500 731.25000 759.37500 787.50000 965.62500 993.75000 1021.87500 2/1
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 "albitonic" from the Latin word for "white".<br /> <br /> <!-- ws:start:WikiTextHeadingRule:0:<h2> --><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: [<1 1 2 2|, <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:<h2> --><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: [<1 0 7 12|, <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:<h2> --><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: [<1 0 -6 -1|, <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:<h2> --><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: [<1 1 3 6|, <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 /> <br /> <a class="wiki_link" href="/pompey11">Eleven note albitonic scale</a><br /> ! pompey11.scl<br /> !<br /> Pompey[11] 2.3.7.11 subgroup scale in 128et<br /> 11<br /> !<br /> 206.25000<br /> 234.37500<br /> 440.62500<br /> 468.75000<br /> 496.87500<br /> 703.12500<br /> 731.25000<br /> 937.50000<br /> 965.62500<br /> 1171.87500<br /> 2/1<br /> <br /> <a class="wiki_link" href="/pompey16">Sixteen note chromatic scale</a><br /> ! pompey16.scl<br /> !<br /> Pompey[16] 2.3.7.11 subgroup scale in 128et<br /> 16<br /> !<br /> 28.12500<br /> 56.25000<br /> 234.37500<br /> 262.50000<br /> 290.62500<br /> 468.75000<br /> 496.87500<br /> 525.00000<br /> 553.12500<br /> 731.25000<br /> 759.37500<br /> 787.50000<br /> 965.62500<br /> 993.75000<br /> 1021.87500<br /> 2/1</body></html>