Chromatic pairs
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 2011-03-07 11:38:14 UTC.
- The original revision id was 208062216.
- 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, the 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 [[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 [[pepperoni7|Seven note albitonic scale]] [[pepperoni12|Twelve 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 [[bridgetown9|Nine note albitonic scale]] [[bridgetown14|Fourteen note chromatic scale]] ==Radon== Subgroup: 2.3.7.11 Commas: 896/891, 1029/1024 Related temperament: [[Gamelismic clan|Rodan]] POTE generator: ~8/7 = 234.381 Map: [<1 1 3 6|, <0 3 -1 -13|] EDOs: 5, 36, 41, 87, 128 [[pompey5|Five note pentacircle scale]] [[pompey11|Eleven note albitonic scale]] [[pompey16|Sixteen note chromatic scale]] ==Skwares== Subgroup: 2.3.7.11 Commas: 99/98, 243/242 ==Hemif== Subgroup: 2.3.7.11 Commas: 243/242, 896/891 ==Supra== Subgroup: 2.3.7.11 Commas: 64/63, 99/98 POTE generator: ~3/2 = 707.192 Map: [<1 0 6 13|, <0 1 -2 -6|] EDOs: 5, 7, 12, 17, 22, 39, 56 [[supra7|Seven note albitonic scale]] [[supra12|Twelve note chromatic scale]] ==Mohaha== Subgroup: 2.3.5.11 Commas: 81/80, 121/120 POTE generator: ~11/9 = 348.094 Map: [<1 1 0 2|, <0 2 8 5|] EDOs: 7, 10, 17, 24, 31, 131 [[mohaha7|Seven note albitonic scale]] [[mohaha10|Ten note chromatic scale]] ==Cata== Subgroup: 2.3.5.13 Commas: 325/324, 625/624 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 [[cata7|Seven note albitonic scale]] [[cata11|Eleven note mega albitonic scale]] [[cata15|Fifteen note chromatic scale]] [[cata19|Nineteen note mega chromatic scale]] ==Nestoria== Subgroup: 2.3.5.19 Commas: 361/360, 513/512 POTE generator: ~3/2 = 701.746 Map: [<1 0 15 9], <0 1 -8 -3|] EDOs: 7, 12, 17, 29, 41, 53, 118, 171 [[nestoria7|Seven note albitonic scale]] [[nestoria12|Twelve note chromatic scale]] ==Photia== Subgroup 2.3.5.17.19 Commas: 171/170, 256/255, 324/323 POTE generator: ~3/2 = 701.470 Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] EDOs: 7, 12, 17, 29, 41, 53, 65 [[photia7|Seven note albitonic scale]] [[photia12|Twelve note chromatic scale]] ==Tutone== Subgroup: 2.9.5.7.11 Commas: 81/80, 99/98, 126/125 POTE generator: ~9/8 = 193.937 Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|] EDOs: 6, 7, 13, 19, 25, 31, 99 [[tutone6|Six note haplotonic scale]] [[tutone7|Seven note albitonic scale]] [[tutone13|Thirteen note chromatic scale]] ==Leantone== Subgroup: 2.9.5.7.11 Commas: 45/44, 56/55, 81/80 POTE generator: ~9/8 = 192.500 Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|] EDOs: 6, 7, 13, 19, 25, 31, 56, 81
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, the 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 /> <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 /> <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 /> Related temperament: <a class="wiki_link" href="/The%20Archipelago">barabdos</a><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 /> <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-Radon"></a><!-- ws:end:WikiTextHeadingRule:6 -->Radon</h2> Subgroup: 2.3.7.11<br /> Commas: 896/891, 1029/1024<br /> Related temperament: <a class="wiki_link" href="/Gamelismic%20clan">Rodan</a><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 /> <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><br /> <br /> <!-- ws:start:WikiTextHeadingRule:8:<h2> --><h2 id="toc4"><a name="x-Skwares"></a><!-- ws:end:WikiTextHeadingRule:8 -->Skwares</h2> Subgroup: 2.3.7.11<br /> Commas: 99/98, 243/242<br /> <br /> <!-- ws:start:WikiTextHeadingRule:10:<h2> --><h2 id="toc5"><a name="x-Hemif"></a><!-- ws:end:WikiTextHeadingRule:10 -->Hemif</h2> Subgroup: 2.3.7.11<br /> Commas: 243/242, 896/891<br /> <br /> <!-- ws:start:WikiTextHeadingRule:12:<h2> --><h2 id="toc6"><a name="x-Supra"></a><!-- ws:end:WikiTextHeadingRule:12 -->Supra</h2> Subgroup: 2.3.7.11<br /> Commas: 64/63, 99/98<br /> <br /> POTE generator: ~3/2 = 707.192<br /> <br /> Map: [<1 0 6 13|, <0 1 -2 -6|]<br /> EDOs: 5, 7, 12, 17, 22, 39, 56<br /> <br /> <a class="wiki_link" href="/supra7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="/supra12">Twelve note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:14:<h2> --><h2 id="toc7"><a name="x-Mohaha"></a><!-- ws:end:WikiTextHeadingRule:14 -->Mohaha</h2> Subgroup: 2.3.5.11<br /> Commas: 81/80, 121/120<br /> <br /> POTE generator: ~11/9 = 348.094<br /> <br /> Map: [<1 1 0 2|, <0 2 8 5|]<br /> EDOs: 7, 10, 17, 24, 31, 131<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:16:<h2> --><h2 id="toc8"><a name="x-Cata"></a><!-- ws:end:WikiTextHeadingRule:16 -->Cata</h2> Subgroup: 2.3.5.13<br /> Commas: 325/324, 625/624<br /> <br /> POTE generator: ~6/5 = 317.076<br /> <br /> Map: [<1 0 1 0|, <0 6 5 14|]<br /> EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246<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:18:<h2> --><h2 id="toc9"><a name="x-Nestoria"></a><!-- ws:end:WikiTextHeadingRule:18 -->Nestoria</h2> Subgroup: 2.3.5.19<br /> Commas: 361/360, 513/512<br /> <br /> POTE generator: ~3/2 = 701.746<br /> <br /> Map: [<1 0 15 9], <0 1 -8 -3|]<br /> EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br /> <br /> <a class="wiki_link" href="/nestoria7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="/nestoria12">Twelve note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:20:<h2> --><h2 id="toc10"><a name="x-Photia"></a><!-- ws:end:WikiTextHeadingRule:20 -->Photia</h2> Subgroup 2.3.5.17.19<br /> Commas: 171/170, 256/255, 324/323<br /> <br /> POTE generator: ~3/2 = 701.470<br /> <br /> Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]<br /> EDOs: 7, 12, 17, 29, 41, 53, 65<br /> <br /> <a class="wiki_link" href="/photia7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="/photia12">Twelve note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:22:<h2> --><h2 id="toc11"><a name="x-Tutone"></a><!-- ws:end:WikiTextHeadingRule:22 -->Tutone</h2> Subgroup: 2.9.5.7.11<br /> Commas: 81/80, 99/98, 126/125<br /> <br /> POTE generator: ~9/8 = 193.937<br /> <br /> Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]<br /> EDOs: 6, 7, 13, 19, 25, 31, 99<br /> <br /> <a class="wiki_link" href="/tutone6">Six note haplotonic scale</a><br /> <a class="wiki_link" href="/tutone7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="/tutone13">Thirteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:24:<h2> --><h2 id="toc12"><a name="x-Leantone"></a><!-- ws:end:WikiTextHeadingRule:24 -->Leantone</h2> Subgroup: 2.9.5.7.11<br /> Commas: 45/44, 56/55, 81/80<br /> <br /> POTE generator: ~9/8 = 192.500<br /> <br /> Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]<br /> EDOs: 6, 7, 13, 19, 25, 31, 56, 81</body></html>