Chromatic pairs: Difference between revisions

Revision as of 23:49, 10 March 2011

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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". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5].

==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
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

[[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

[[radon5|Five note haplotonic scale]]
[[radon11|Eleven note albitonic scale]]
[[radon16|Sixteen note chromatic scale]]

==Skwares==
Subgroup: 2.3.7.11
Commas: 99/98, 243/242
Related temperament: [[Meantone family|squares]]

POTE generator: ~9/7 = 425.244

Map: [<1 3 6 7|, <0 -4 -9 -10|]
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206

[[skwares8|Eight note albitonic scale]]
[[skwares11|Eleven note mega albitonic scale]]
[[skwares14|Fourteen note chromatic scale]]

==Hemif==
Subgroup: 2.3.7.11.13
Commas: 144/143, 243/242, 364/363
Related temperament: [[Breedsmic temperaments|Hemififths]]

POTE generator: ~11/9 = 351.691

Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]
EDOs: 7, 10, 17, 24, 41, 58

[[hemif7|Seven note haplotonic scale]]
[[hemif10|Ten note albitonic scale]]
[[hemif17|Seventeen note chromatic scale]]

==Supra==
Subgroup: 2.3.7.11
Commas: 64/63, 99/98
Related temperament: [[Archytas clan|superpyth]]

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
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

[[mohaha7|Seven note albitonic scale]]
[[mohaha10|Ten note chromatic scale]]

===Mohoho===
Subgroup: 3.3.5.11.13
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

==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

[[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
Related temperament: [[Schismatic family|schismatic]]

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
Related temperament: [[Schismatic family|schismatic]]

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]]

==Baldy==
Subgroup: 2.9.5.7.13
Commas: 225/224, 325/325, 640/637
Related temperament: [[Schismatic family|Garibaldi]]

POTE generator: ~9/8 = 204.090

Map: [<1 0 15 25 -8|, <0 1 -4 -7 10|]
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147

[[baldy6|Six note haplotonic scale]]
[[baldy11|Eleven note albitonic scale]]
[[baldy17|Seventeen note chromatic scale]]

==Tutone==
Subgroup: 2.9.5.7.11
Commas: 81/80, 99/98, 126/125
Related temperament: [[Meantone family|meantone]]

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
Related temperament: [[Meantone family|flattone]]

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

[[leantone6|Six note haplotonic scale]]
[[leantone7|Seven note albitonic scale]]
[[leantone13|Thirteen note chromatic scale]]

==Augment==
Subgroup: 2.5.7.11
Commas: 56/55, 128/125
Related temperament: [[Augmented family|augmented]]

POTE generator: ~8/7

Map: [<3 7 9 11|, <0 0 -1 -1|]
EDOs: 3, 6, 9, 15, 21

[[augment6|Six note haplotonic scale]]
[[augment9|Nine note albitonic scale]]
[[augment12|Twelve note chromatic scale]]

==Huntington==
Subgroup: 2.5.7.13
Commas: 640/637, 10985/10976

POTE generator: ~16/13 = 357.002

Map: [<1 5 4 4|, <0 -9 -4 -1|]
EDOs: 7, 10, 17, 27, 37, 84, 121, 400

[[huntington7|Seven note haplotonic scale]]
[[huntington10|Ten note albitonic scale]]
[[huntington17|Seventeen note chromatic scale]]

==Roulette==
Subgroup: 2.5.7.11.13
Commas: 176/175, 1375/1372, 640/637
Related temperament: [[Wuerschmidt family|Hemiwuerschmidt]]

POTE generator: ~28/25 = 194.594

Map: [<1 0 -3 -7 -13|, <0 2 5 9 -8|]
EDOs: 6, 7, 13, 19, 25, 31, 37

[[roulette6|Six note haplotonic scale]]
[[roulette7|Seven note albitonic scale]]
[[roulette13|Thirteen note chromatic scale]]
[[roulette19|Nineteen note mega chromatic scale]]

==Score==
Subgroup: 2.7.11.13
Commas: 343/338, 847/832

POTE generator: ~11/8 = 540.099

Map: [<1 1 3 1|, <0 4 1 6|]
EDOs: 5, 7, 9, 11, 20

[[score5|Five note haplotonic scale]]
[[score7|Seven note albitonic scale]]
[[score9|Nine note mega albitonic scale]]
[[score11|Eleven 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, 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].<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 />
<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 />
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 />
<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 />
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 />
<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-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: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br />
EDOs: 5, 36, 41, 87, 128<br />
<br />
<a class="wiki_link" href="/radon5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="/radon11">Eleven note albitonic scale</a><br />
<a class="wiki_link" href="/radon16">Sixteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><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 />
Related temperament: <a class="wiki_link" href="/Meantone%20family">squares</a><br />
<br />
POTE generator: ~9/7 = 425.244<br />
<br />
Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br />
EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br />
<br />
<a class="wiki_link" href="/skwares8">Eight note albitonic scale</a><br />
<a class="wiki_link" href="/skwares11">Eleven note mega albitonic scale</a><br />
<a class="wiki_link" href="/skwares14">Fourteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="x-Hemif"></a><!-- ws:end:WikiTextHeadingRule:10 -->Hemif</h2>
Subgroup: 2.3.7.11.13<br />
Commas: 144/143, 243/242, 364/363<br />
Related temperament: <a class="wiki_link" href="/Breedsmic%20temperaments">Hemififths</a><br />
<br />
POTE generator: ~11/9 = 351.691<br />
<br />
Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br />
EDOs: 7, 10, 17, 24, 41, 58<br />
<br />
<a class="wiki_link" href="/hemif7">Seven note haplotonic scale</a><br />
<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 />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><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 />
Related temperament: <a class="wiki_link" href="/Archytas%20clan">superpyth</a><br />
<br />
POTE generator: ~3/2 = 707.192<br />
<br />
Map: [&lt;1 0 6 13|, &lt;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:&lt;h2&gt; --><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 />
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 />
<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:&lt;h3&gt; --><h3 id="toc8"><a name="x-Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:16 -->Mohoho</h3>
Subgroup: 3.3.5.11.13<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 />
<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="x-Cata"></a><!-- ws:end:WikiTextHeadingRule:18 -->Cata</h2>
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 />
<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:20:&lt;h2&gt; --><h2 id="toc10"><a name="x-Nestoria"></a><!-- ws:end:WikiTextHeadingRule:20 -->Nestoria</h2>
Subgroup: 2.3.5.19<br />
Commas: 361/360, 513/512<br />
Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
<br />
POTE generator: ~3/2 = 701.746<br />
<br />
Map: [&lt;1 0 15 9], &lt;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:22:&lt;h2&gt; --><h2 id="toc11"><a name="x-Photia"></a><!-- ws:end:WikiTextHeadingRule:22 -->Photia</h2>
Subgroup 2.3.5.17.19<br />
Commas: 171/170, 256/255, 324/323<br />
Related temperament: <a class="wiki_link" href="/Schismatic%20family">schismatic</a><br />
<br />
POTE generator: ~3/2 = 701.470<br />
<br />
Map: [&lt;1 0 15 -7 9|, &lt;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:24:&lt;h2&gt; --><h2 id="toc12"><a name="x-Baldy"></a><!-- ws:end:WikiTextHeadingRule:24 -->Baldy</h2>
Subgroup: 2.9.5.7.13<br />
Commas: 225/224, 325/325, 640/637<br />
Related temperament: <a class="wiki_link" href="/Schismatic%20family">Garibaldi</a><br />
<br />
POTE generator: ~9/8 = 204.090<br />
<br />
Map: [&lt;1 0 15 25 -8|, &lt;0 1 -4 -7 10|]<br />
EDOs: 6, 11, 17, 23, 29, 35, 41, 47, 100, 147<br />
<br />
<a class="wiki_link" href="/baldy6">Six note haplotonic scale</a><br />
<a class="wiki_link" href="/baldy11">Eleven note albitonic scale</a><br />
<a class="wiki_link" href="/baldy17">Seventeen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="x-Tutone"></a><!-- ws:end:WikiTextHeadingRule:26 -->Tutone</h2>
Subgroup: 2.9.5.7.11<br />
Commas: 81/80, 99/98, 126/125<br />
Related temperament: <a class="wiki_link" href="/Meantone%20family">meantone</a><br />
<br />
POTE generator: ~9/8 = 193.937<br />
<br />
Map: [&lt;1 0 -4 -13 -25|, &lt;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:28:&lt;h2&gt; --><h2 id="toc14"><a name="x-Leantone"></a><!-- ws:end:WikiTextHeadingRule:28 -->Leantone</h2>
Subgroup: 2.9.5.7.11<br />
Commas: 45/44, 56/55, 81/80<br />
Related temperament: <a class="wiki_link" href="/Meantone%20family">flattone</a><br />
<br />
POTE generator: ~9/8 = 192.500<br />
<br />
Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br />
EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br />
<br />
<a class="wiki_link" href="/leantone6">Six note haplotonic scale</a><br />
<a class="wiki_link" href="/leantone7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="/leantone13">Thirteen note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h2&gt; --><h2 id="toc15"><a name="x-Augment"></a><!-- ws:end:WikiTextHeadingRule:30 -->Augment</h2>
Subgroup: 2.5.7.11<br />
Commas: 56/55, 128/125<br />
Related temperament: <a class="wiki_link" href="/Augmented%20family">augmented</a><br />
<br />
POTE generator: ~8/7<br />
<br />
Map: [&lt;3 7 9 11|, &lt;0 0 -1 -1|]<br />
EDOs: 3, 6, 9, 15, 21<br />
<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="/augment12">Twelve note chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="x-Huntington"></a><!-- ws:end:WikiTextHeadingRule:32 -->Huntington</h2>
Subgroup: 2.5.7.13<br />
Commas: 640/637, 10985/10976<br />
<br />
POTE generator: ~16/13 = 357.002<br />
<br />
Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br />
EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br />
<br />
<a class="wiki_link" href="/huntington7">Seven note haplotonic 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 />
<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="x-Roulette"></a><!-- ws:end:WikiTextHeadingRule:34 -->Roulette</h2>
Subgroup: 2.5.7.11.13<br />
Commas: 176/175, 1375/1372, 640/637<br />
Related temperament: <a class="wiki_link" href="/Wuerschmidt%20family">Hemiwuerschmidt</a><br />
<br />
POTE generator: ~28/25 = 194.594<br />
<br />
Map: [&lt;1 0 -3 -7 -13|, &lt;0 2 5 9 -8|]<br />
EDOs: 6, 7, 13, 19, 25, 31, 37<br />
<br />
<a class="wiki_link" href="/roulette6">Six note haplotonic scale</a><br />
<a class="wiki_link" href="/roulette7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="/roulette13">Thirteen note chromatic scale</a><br />
<a class="wiki_link" href="/roulette19">Nineteen note mega chromatic scale</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="x-Score"></a><!-- ws:end:WikiTextHeadingRule:36 -->Score</h2>
Subgroup: 2.7.11.13<br />
Commas: 343/338, 847/832<br />
<br />
POTE generator: ~11/8 = 540.099<br />
<br />
Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br />
EDOs: 5, 7, 9, 11, 20<br />
<br />
<a class="wiki_link" href="/score5">Five note haplotonic scale</a><br />
<a class="wiki_link" href="/score7">Seven note albitonic scale</a><br />
<a class="wiki_link" href="/score9">Nine note mega albitonic scale</a><br />
<a class="wiki_link" href="/score11">Eleven note chromatic scale</a></body></html>

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 <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>2011-03-08 23:40:23 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-03-10 23:49:02 UTC</tt>.<br>
-: The original revision id was <tt>208690942</tt>.<br>
+: The original revision id was <tt>209500308</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 113: / Line 113: @@
 [[mohaha7|Seven note albitonic scale]]
 [[mohaha10|Ten note chromatic scale]]
+===Mohoho===
+Subgroup: 3.3.5.11.13
+Commas: 66/65, 81/80, 121/120
+POTE generator: ~11/9 = 348.916
+Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]
+EDOs: 7, 10, 17, 24, 31, 55
 ==Cata==
@@ Line 361: / Line 370: @@
 &lt;a class="wiki_link" href="/mohaha10"&gt;Ten note chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc8"&gt;&lt;a name="x-Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Cata&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc8"&gt;&lt;a name="x-Mohaha-Mohoho"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;Mohoho&lt;/h3&gt;
+Subgroup: 3.3.5.11.13&lt;br /&gt;
+Commas: 66/65, 81/80, 121/120&lt;br /&gt;
+&lt;br /&gt;
+POTE generator: ~11/9 = 348.916&lt;br /&gt;
+&lt;br /&gt;
+Map: [&amp;lt;1 1 0 2 4|, &amp;lt;0 2 8 5 -1|]&lt;br /&gt;
+EDOs: 7, 10, 17, 24, 31, 55&lt;br /&gt;
+&lt;br /&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-Cata"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Cata&lt;/h2&gt;
 Subgroup: 2.3.5.13&lt;br /&gt;
 Commas: 325/324, 625/624&lt;br /&gt;
@@ Line 376: / Line 394: @@
 &lt;a class="wiki_link" href="/cata19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc9"&gt;&lt;a name="x-Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;Nestoria&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x-Nestoria"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Nestoria&lt;/h2&gt;
 Subgroup: 2.3.5.19&lt;br /&gt;
 Commas: 361/360, 513/512&lt;br /&gt;
@@ Line 389: / Line 407: @@
 &lt;a class="wiki_link" href="/nestoria12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc10"&gt;&lt;a name="x-Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;Photia&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x-Photia"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Photia&lt;/h2&gt;
 Subgroup 2.3.5.17.19&lt;br /&gt;
 Commas: 171/170, 256/255, 324/323&lt;br /&gt;
@@ Line 402: / Line 420: @@
 &lt;a class="wiki_link" href="/photia12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc11"&gt;&lt;a name="x-Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;Baldy&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x-Baldy"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Baldy&lt;/h2&gt;
 Subgroup: 2.9.5.7.13&lt;br /&gt;
 Commas: 225/224, 325/325, 640/637&lt;br /&gt;
@@ Line 416: / Line 434: @@
 &lt;a class="wiki_link" href="/baldy17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc12"&gt;&lt;a name="x-Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;Tutone&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="x-Tutone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Tutone&lt;/h2&gt;
 Subgroup: 2.9.5.7.11&lt;br /&gt;
 Commas: 81/80, 99/98, 126/125&lt;br /&gt;
@@ Line 430: / Line 448: @@
 &lt;a class="wiki_link" href="/tutone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc13"&gt;&lt;a name="x-Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;Leantone&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x-Leantone"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Leantone&lt;/h2&gt;
 Subgroup: 2.9.5.7.11&lt;br /&gt;
 Commas: 45/44, 56/55, 81/80&lt;br /&gt;
@@ Line 444: / Line 462: @@
 &lt;a class="wiki_link" href="/leantone13"&gt;Thirteen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc14"&gt;&lt;a name="x-Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;Augment&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="x-Augment"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Augment&lt;/h2&gt;
 Subgroup: 2.5.7.11&lt;br /&gt;
 Commas: 56/55, 128/125&lt;br /&gt;
@@ Line 458: / Line 476: @@
 &lt;a class="wiki_link" href="/augment12"&gt;Twelve note chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc15"&gt;&lt;a name="x-Huntington"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;Huntington&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="x-Huntington"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Huntington&lt;/h2&gt;
 Subgroup: 2.5.7.13&lt;br /&gt;
 Commas: 640/637, 10985/10976&lt;br /&gt;
@@ Line 471: / Line 489: @@
 &lt;a class="wiki_link" href="/huntington17"&gt;Seventeen note chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc16"&gt;&lt;a name="x-Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;Roulette&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="x-Roulette"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Roulette&lt;/h2&gt;
 Subgroup: 2.5.7.11.13&lt;br /&gt;
 Commas: 176/175, 1375/1372, 640/637&lt;br /&gt;
@@ Line 486: / Line 504: @@
 &lt;a class="wiki_link" href="/roulette19"&gt;Nineteen note mega chromatic scale&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
-&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc17"&gt;&lt;a name="x-Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;Score&lt;/h2&gt;
+&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc18"&gt;&lt;a name="x-Score"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;Score&lt;/h2&gt;
 Subgroup: 2.7.11.13&lt;br /&gt;
 Commas: 343/338, 847/832&lt;br /&gt;

Chromatic pairs: Difference between revisions

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