Chromatic pairs: Difference between revisions
Wikispaces>genewardsmith **Imported revision 472626410 - Original comment: ** |
Wikispaces>genewardsmith **Imported revision 472770436 - 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>2013-11-27 | : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-11-27 12:10:45 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>472770436</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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EDOs: 6, 16, 22, 28, 50, 122, 172, 222 | EDOs: 6, 16, 22, 28, 50, 122, 172, 222 | ||
RMS error: 0.3997 | [[Tp tuning#T2%20tuning|RMS error]]: 0.3997 | ||
[[xenharmonic/wizz6|Six note haplotonic scale]] | [[xenharmonic/wizz6|Six note haplotonic scale]] | ||
[[xenharmonic/wizz10|Ten note albitonic scale]] | [[xenharmonic/wizz10|Ten note albitonic scale]] | ||
[[xenharmonic/wizz16|Sixteen note chromatic scale]] | [[xenharmonic/wizz16|Sixteen note chromatic scale]] | ||
=Bossier= | |||
Subgroup: 2.7.11.13 | |||
Commas: 1573/1568, 15488/15379 | |||
Sval name: 3&17 | |||
[[Tp tuning|POT2 generator]]: ~14/11 = 421.309 | |||
[[Gencom]]: [2 14/11; 1573/1568 15488/15379] | |||
Gencom map: [<1 0 0 0 1 3|, <0 0 0 8 7 2|] | |||
Map: [<1 0 1 3|, <0 8 7 2|] | |||
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.4043 cents | |||
[[image:bossier_225edo.jpg]] | |||
[[xenharmonic/bossier8|Eight note albitonic scale]] | |||
[[xenharmonic/bossier11|Eleven note chromatic scale]] | |||
[[xenharmonic/bossier14|Fourteen note mega chromatic scale]] | |||
=Penta= | =Penta= | ||
Line 380: | Line 400: | ||
Map: [<1 0 5|, <0 1 -2|] | Map: [<1 0 5|, <0 1 -2|] | ||
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc | EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.4801 cents | ||
[[xenharmonic/marveltri7|Seven note albitonic scale]] | [[xenharmonic/marveltri7|Seven note albitonic scale]] | ||
Line 386: | Line 406: | ||
[[xenharmonic/marveltri13|Thirteen note mega chromatic scale]] | [[xenharmonic/marveltri13|Thirteen note mega chromatic scale]] | ||
= | =Edson= | ||
Subgroup: 2.7.11.13 | Subgroup: 2.3.7/5.11/5.13/5 | ||
Commas: | Commas: 196/195, 352/351, 364/363 | ||
Related temperaments: [[Hemifamity family#Pele|pele]], cassandra | |||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~3/2 = 703.414 | ||
[[Gencom]]: [2 3/2; 196/195, 352/351, 364/363] | |||
[[Gencom]]: [2 3/2; 196/195, 352/351, 364/363] | |||
Gencom map: [<1 1 -5 -1 2 4|, <0 1 29/4 5/4 -11/4 -23/4|] | Gencom map: [<1 1 -5 -1 2 4|, <0 1 29/4 5/4 -11/4 -23/4|] | ||
Map: [<1 0 10 17 22|, <0 1 -6 -10 -13|] | Map: [<1 0 10 17 22|, <0 1 -6 -10 -13|] | ||
EDOs: 12, 17, 29, 621bcde | EDOs: 12, 17, 29, 621bcde | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.5102 cents | ||
[[xenharmonic/edson5|Five note haplotonic scale]] | [[xenharmonic/edson5|Five note haplotonic scale]] | ||
Line 425: | Line 425: | ||
[[xenharmonic/edson17|Seventeen note mega chromatic scale]] | [[xenharmonic/edson17|Seventeen note mega chromatic scale]] | ||
= | =Photia= | ||
Subgroup: 2.5. | Subgroup: 2.3.5.17.19 | ||
Commas: | Commas: 171/170, 256/255, 324/323 | ||
Sval name: | Sval name: 12&41 | ||
Related temperament: [[xenharmonic/Schismatic family|schismatic]] | |||
[[Tp tuning|POT2 generator]]: ~8/7 = 227.108 | [[Tp tuning|POT2 generator]]: ~3/2 = 701.470 | ||
[[Gencom]]: [2 3/2; 171/170 256/255 324/323] | |||
Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 7 -3|] | |||
Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] | |||
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.5374 cents | |||
[[image:photia_65edo.png]] | |||
[[xenharmonic/photia7|Seven note albitonic scale]] | |||
[[xenharmonic/photia12|Twelve note chromatic scale]] | |||
=Shoe= | |||
Subgroup: 2.5.7.11.13 | |||
Commas: 176/175, 640/637, 847/845 | |||
Sval name: 16&21 | |||
[[Tp tuning|POT2 generator]]: ~8/7 = 227.108 | |||
[[Gencom]]: [2 8/7; 176/175 640/637 847/845] | [[Gencom]]: [2 8/7; 176/175 640/637 847/845] | ||
Line 437: | Line 457: | ||
Map: [<1 1 3 1 2|, <0 7 -1 13 9|] | Map: [<1 1 3 1 2|, <0 7 -1 13 9|] | ||
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce | EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.5433 cents | ||
[[image:xenharmonic/shoe_37edo.jpg]] | [[image:xenharmonic/shoe_37edo.jpg]] | ||
Line 446: | Line 466: | ||
[[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]] | [[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]] | ||
= | =Roulette= | ||
Subgroup: 2.5.7 | Subgroup: 2.5.7.11.13 | ||
Commas: 176/175, | Commas: 176/175, 1375/1372, 640/637 | ||
Sval name: 6&25 | |||
Related | Related temperament: [[xenharmonic/Würschmidt family|Hemiwürschmidt]] | ||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~28/25 = 194.594 | ||
[[Gencom]]: [2 28/25; 176/175 1375/1372 640/637] | |||
[[Gencom]]: [2 28/25; 176/175 1375/1372 640/637] | |||
Gencom map: [<1 0 2 2 2 5|, <0 0 2 5 9 -8|] | Gencom map: [<1 0 2 2 2 5|, <0 0 2 5 9 -8|] | ||
Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|] | Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|] | ||
EDOs: 6, 7, 13, 19, 25, 31, 37 | EDOs: 6, 7, 13, 19, 25, 31, 37 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.5567 cents | ||
[[image:xenharmonic/roulette_37edo.jpg]] | [[image:xenharmonic/roulette_37edo.jpg]] | ||
Line 487: | Line 488: | ||
[[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]] | [[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]] | ||
= | =Silver= | ||
Subgroup: 2.5.7.13.17 | |||
Commas: | Commas: 170/169, 640/637, 5525/5488 | ||
Sval name: 10&27 | |||
[[Tp tuning|POT2 generator]]: ~ | [[Tp tuning|POT2 generator]]: ~13/8 = 842.711 | ||
[[Gencom]]: [2 | [[Gencom]]: [2 13/8; 170/169 640/637 5525/5488] | ||
Gencom map: [<1 0 0 0|, <0 0 | Gencom map: [<1 0 -4 0 0 3 9|, <0 0 9 4 0 1 -7|] | ||
Map: [<1 | Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|] | ||
EDOs: | EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, 178e, 309cde, [[xenharmonic/487edo|487bcdee]] | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.5886 cents | ||
[[ | [[image:silver_487edo.jpg]] | ||
[[xenharmonic/silver7|silver7]] -seven note [[xenharmonic/haplotonic scale|haplotonic scale]] | |||
[[xenharmonic/silver10|silver10]] - ten note [[xenharmonic/albitonic scale|albitonic scale]] | |||
[[xenharmonic/silver17|silver17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]] | |||
[[ | =Baldy= | ||
Subgroup: 2.9.5.7.13 | |||
Commas: 225/224, 325/324, 640/637 | |||
Sval name: 6&35 | |||
Related temperament: [[xenharmonic/Schismatic family|Garibaldi]] | |||
[[ | [[Tp tuning|POT2 generator]]: ~9/8 = 204.090 | ||
[[Gencom]]: [2 9/8; 225/224 325/324 640/637] | |||
Gencom map: [<1 3/2 3 4 0 2|, <0 1/2 -4 -7 0 10|] | |||
[[image: | Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|] | ||
EDOs: 6, 11, 17, 23, 29, 35, 41, [[xenharmonic/47edo|47]], 100, [[xenharmonic/147edo|147]], 488cd, 635cd | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.5999 cents | |||
[[image:baldy_147edo.jpg]] | |||
[[xenharmonic/baldy6|baldy6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] | |||
[[xenharmonic/baldy11|baldy11]] - eleven note [[xenharmonic/albitonic scale|albitonic scale]] | |||
[[xenharmonic/baldy17|baldy17]] - seventeen note [[xenharmonic/chromatic scale|chromatic scale]] | |||
=Guanyintet= | |||
Subgroup: 2.5.7/3.11/3 | |||
Commas: 176/175, 540/539 | |||
Svalname: 4&9 | |||
Related temperaments: guanyin, orwell | |||
[[Tp tuning|POT2 generator]]: ~7/6 = 270.093 | |||
[[Gencom]]: [2 7/6; 176/175 540/539] | |||
Gencom map: [<1 -4/3 3 -1/3 5/3|, <0 4/3 -3 7/3 -11/3|] | |||
Map: [<1 0 2 -2|, <0 3 -1 5|] | |||
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.6028 cents | |||
[[xenharmonic/ | [[xenharmonic/guanyintet5|Five note haplotonic scale]] | ||
[[xenharmonic/ | [[xenharmonic/guanyintet9|Nine note albitonic scale]] | ||
[[xenharmonic/guanyintet13|Thirteen note chromatic scale]] | |||
=Radon= | =Radon= | ||
Line 538: | Line 561: | ||
Map: [<1 1 3 6|, <0 3 -1 -13|] | Map: [<1 1 3 6|, <0 3 -1 -13|] | ||
EDOs: 5, 36, 41, 87, 128 | EDOs: 5, 36, 41, 87, 128 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.6502 cents | ||
[[image:radon_128edo.jpg]] | [[image:radon_128edo.jpg]] | ||
Line 546: | Line 569: | ||
[[xenharmonic/radon16|Sixteen note chromatic scale]] | [[xenharmonic/radon16|Sixteen note chromatic scale]] | ||
= | =Gariberttet= | ||
Subgroup: 2 | Subgroup: 2.5/3.7/3.13/11 | ||
Commas: | Commas: 275/273, 847/845 | ||
Svalname: 4&29 | |||
[[Tp tuning|POT2 generator]]: ~13/11 = 293.679 | |||
[[ | [[Gencom]]: [2 13/11; 275/273 847/845] | ||
Gencom map: [<1 0 0 0 0 0|, <0 -8/3 1/3 7/3 -1/2 1/2|] | |||
Map: [<1 0 0 0|, <0 3 5 1|] | |||
EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.6914 cents | |||
[[xenharmonic/gariberttet5|Five note haplotonic scale]] | |||
[[xenharmonic/gariberttet9|Nine note albitonic scale]] | |||
[[ | [[xenharmonic/gariberttet13|Thirteen note chromatic scale]] | ||
[[ | =Namo= | ||
Subgroup: 2.3.11.13 | |||
Commas: 144/143, 243/242 | |||
Related temperament: [[Valinorismic temperaments#Mandos|mandos]], mohajira, hemif | |||
[[ | [[Tp tuning|POT2 generator]]: ~11/9 = 351.488 | ||
[[Gencom]]: [2 11/9; 144/143 243/242] | |||
Gencom map: [<1 1 0 0 2 4|, <0 2 0 0 5 -1|] | |||
[[Tp tuning| | Map: [<1 1 2 4|, <0 2 5 -1|] | ||
EDOs: 7, 10, 17, 41, 58, 99cd | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.7038 cents | |||
[[ | [[xenharmonic/namo7|Seven note haplotonic scale]] | ||
[[xenharmonic/namo10|Ten note albitonic scale]] | |||
[[xenharmonic/namo17|Seventeen note chromatic scale]] | |||
=Sentry= | |||
Group: 2.5/3.9/7 | |||
Commas: 245/243 | |||
Svalname: 3&5 | |||
Related temperaments: sensi | |||
[[ | [[Tp tuning|POT2 generator]]: ~9/7 = 440.902 | ||
[[ | [[Gencom]]: [2 9/7; 245/243] | ||
[ | Gencom map: [<1 0 0 0|, <0 0 2 -1|] | ||
Map: [<1 0 0|, <0 2 1|] | |||
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.7105 cents | |||
[[ | [[xenharmonic/sentry5|Five note haplotonic scale]] | ||
[[xenharmonic/sentry8|Eight note albitonic scale]] | |||
[[xenharmonic/sentry11|Eleven note note chromatic scale]] | |||
=Hemif= | |||
Subgroup: 2.3.7.11.13 | |||
Commas: 144/143, 243/242, 364/363 | |||
Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]], namo | |||
[[Tp tuning|POT2 generator]]: ~11/9 = 351.691 | |||
[[Tp tuning | |||
[[ | [[Gencom]]: [2 11/9; 144/143 243/242 364/363] | ||
Gencom map: [<1 1 0 -1 2 4|, <0 2 0 13 5 -1|] | |||
[ | Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] | ||
EDOs: 7, 10, 17, 24, 41, 58 | |||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 0.7167 cents | ||
[[image:hemif_58edo.jpg]] | |||
[[ | [[xenharmonic/hemif7|Seven note haplotonic scale]] | ||
[[xenharmonic/hemif10|Ten note albitonic scale]] | |||
[[xenharmonic/hemif17|Seventeen note chromatic scale]] | |||
=Garibaldi= | |||
Group: 2.3.5.7 | |||
Commas: 225/224, 3125/3087 | |||
Val name: 12&29 | |||
[[Tp tuning|POT2 generator]]: ~3/2 = 702.085 | |||
[[Tp tuning | |||
[[ | [[Gencom]]: [2 3/2; 225/224 3125/3087] | ||
Gencom map: [<1 1 7 11], <0 1 -8 -14|] | |||
[ | Map: [<1 0 15 25|, <0 1 -8 -14|] | ||
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c | |||
[[ | [[Tp tuning#T2%20tuning|RMS error]]: 0.7257 cents | ||
[[image:garibaldi_94edo.png]] | |||
[[ | [[xenharmonic/garibaldi12|Twelve note albitonic scale]] | ||
[[xenharmonic/garibaldi17|Seventeen note chromatic scale]] | |||
=Mabila= | |||
Subgroup: 2.5.7 | |||
Comma: 1071875/1048576 | |||
Sval name: 7&9 | |||
[[ | [[Tp tuning|POT2 generator]]: ~175/128 = 527.236 | ||
[[Gencom]]: [2 175/128; 1071875/1048576] | |||
Gencom map: [<1 0 1 5}, <0, 0, 3, -5|] | |||
[[Tp tuning| | Map: [<1 1 5|, <0 3 -5|] | ||
EDOs: 7, 9, 16, 25, 41, 66, 305bc | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.7729 cents | |||
[[ | [[image:mabila_66edo.jpg]] | ||
[[xenharmonic/mabila7|Seven note haplotonic scale]] | |||
[[xenharmonic/mabila9|Nine note albitonic scale]] | |||
[[ | [[xenharmonic/mabila16|Sixteen note chromatic scale]] | ||
=Indium= | |||
Subgroup: 2.5/3.7/3.11/3 | |||
Commas: 3025/3024, 3125/3087 | |||
Sval name: 8&33 | |||
[[Tp tuning|POT2 generator]]: ~12/11 = 147.010 | |||
[[Tp tuning|POT2 generator]]: ~12/11 = 147.010 | |||
[[Gencom]]: [2 12/11; 3025/3024 3125/3087] | [[Gencom]]: [2 12/11; 3025/3024 3125/3087] | ||
Line 693: | Line 695: | ||
Map: [<1 0 0 2|, <0 6 10 -1|] | Map: [<1 0 0 2|, <0 6 10 -1|] | ||
EDOs: 33, 41, 49, 57, 106, 204, 253 | EDOs: 33, 41, 49, 57, 106, 204, 253 | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.7788 cents | ||
[[image:indium_253edo.png]] | [[image:indium_253edo.png]] | ||
Line 703: | Line 705: | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]]</span></span> (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1532|details]] | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3|The Cry of Indium]]</span></span> (in Indium 17) by [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] => [[@http://chrisvaisvil.com/?p=1532|details]] | ||
= | =Starlingtet= | ||
Group: 2.5/3.7/3 | |||
Comma: 126/125 | |||
Related | Svalname: 4&15 | ||
Related temperaments: starling; becomes myna | |||
[[Tp tuning|POT2 generator]]: ~6/5 = 311.154 | |||
[[ | [[Gencom]]: [2 6/5; 126/125] | ||
Gencom map: [<1 -1 0 1|, <0 4/3 1/3 -5/3|] | |||
Map: [<1 0 -1|, <0 1 3|] | |||
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b | |||
[[Tp tuning#T2%20tuning|RMS error]]: 0.8398 cents | |||
[[xenharmonic/starlingtet4|Four note haplotonic scale]] | |||
[[xenharmonic/starlingtet7|Seven note albitonic scale]] | |||
[[xenharmonic/starlingtet11|Eleven note chromatic scale]] | |||
[[xenharmonic/ | |||
[[xenharmonic/ | |||
[[xenharmonic/ | |||
=Myna= | =Myna= | ||
Line 735: | Line 735: | ||
Map: [<1 9 9 8|, <0 -10 -9 -7|] | Map: [<1 9 9 8|, <0 -10 -9 -7|] | ||
EDOs: 4, 27, 31, 58, 89, 236c, 325cd | EDOs: 4, 27, 31, 58, 89, 236c, 325cd | ||
[[Tp tuning#T2%20tuning| | [[Tp tuning#T2%20tuning|RMS error]]: 0.9516 cents | ||
[[image:myna_89edo.jpg]] | [[image:myna_89edo.jpg]] | ||
Line 1,438: | Line 1,438: | ||
[[xenharmonic/leantone13|Thirteen note chromatic scale]]</pre></div> | [[xenharmonic/leantone13|Thirteen note chromatic scale]]</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><!-- ws:start:WikiTextTocRule:163:&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:163 --><!-- ws:start:WikiTextTocRule:164: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Barton">Barton</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Haumea">Haumea</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Tobago">Tobago</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --> | <a href="#Wizz">Wizz</a><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --> | <a href="# | <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><!-- ws:start:WikiTextTocRule:163:&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:163 --><!-- ws:start:WikiTextTocRule:164: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Barton">Barton</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Haumea">Haumea</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Tobago">Tobago</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --> | <a href="#Wizz">Wizz</a><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextTocRule:186: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:186 --><!-- ws:start:WikiTextTocRule:187: --> | <a href="#Edson">Edson</a><!-- ws:end:WikiTextTocRule:187 --><!-- ws:start:WikiTextTocRule:188: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:188 --><!-- ws:start:WikiTextTocRule:189: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:189 --><!-- ws:start:WikiTextTocRule:190: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:190 --><!-- ws:start:WikiTextTocRule:191: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:191 --><!-- ws:start:WikiTextTocRule:192: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:192 --><!-- ws:start:WikiTextTocRule:193: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:193 --><!-- ws:start:WikiTextTocRule:194: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:194 --><!-- ws:start:WikiTextTocRule:195: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:195 --><!-- ws:start:WikiTextTocRule:196: --> | <a href="#Namo">Namo</a><!-- ws:end:WikiTextTocRule:196 --><!-- ws:start:WikiTextTocRule:197: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:197 --><!-- ws:start:WikiTextTocRule:198: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:198 --><!-- ws:start:WikiTextTocRule:199: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:199 --><!-- ws:start:WikiTextTocRule:200: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:200 --><!-- ws:start:WikiTextTocRule:201: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:201 --><!-- ws:start:WikiTextTocRule:202: --><!-- ws:end:WikiTextTocRule:202 --><!-- ws:start:WikiTextTocRule:203: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:203 --><!-- ws:start:WikiTextTocRule:204: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:204 --><!-- ws:start:WikiTextTocRule:205: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:205 --><!-- ws:start:WikiTextTocRule:206: --> | <a href="#Laz">Laz</a><!-- ws:end:WikiTextTocRule:206 --><!-- ws:start:WikiTextTocRule:207: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:207 --><!-- ws:start:WikiTextTocRule:208: --><!-- ws:end:WikiTextTocRule:208 --><!-- ws:start:WikiTextTocRule:209: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:209 --><!-- ws:start:WikiTextTocRule:210: --> | <a href="#Sulis">Sulis</a><!-- ws:end:WikiTextTocRule:210 --><!-- ws:start:WikiTextTocRule:211: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:211 --><!-- ws:start:WikiTextTocRule:212: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:212 --><!-- ws:start:WikiTextTocRule:213: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:213 --><!-- ws:start:WikiTextTocRule:214: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:214 --><!-- ws:start:WikiTextTocRule:215: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:215 --><!-- ws:start:WikiTextTocRule:216: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:216 --><!-- ws:start:WikiTextTocRule:217: --><!-- ws:end:WikiTextTocRule:217 --><!-- ws:start:WikiTextTocRule:218: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:218 --><!-- ws:start:WikiTextTocRule:219: --> | <a href="#Kiribati">Kiribati</a><!-- ws:end:WikiTextTocRule:219 --><!-- ws:start:WikiTextTocRule:220: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:220 --><!-- ws:start:WikiTextTocRule:221: --><!-- ws:end:WikiTextTocRule:221 --><!-- ws:start:WikiTextTocRule:222: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:222 --><!-- ws:start:WikiTextTocRule:223: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:223 --><!-- ws:start:WikiTextTocRule:224: --> | <a href="#Sensation">Sensation</a><!-- ws:end:WikiTextTocRule:224 --><!-- ws:start:WikiTextTocRule:225: --> | <a href="#Archy">Archy</a><!-- ws:end:WikiTextTocRule:225 --><!-- ws:start:WikiTextTocRule:226: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:226 --><!-- ws:start:WikiTextTocRule:227: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:227 --><!-- ws:start:WikiTextTocRule:228: --> | <a href="#Suhajira (aka 2.3.7.11 maqamic)">Suhajira (aka 2.3.7.11 maqamic)</a><!-- ws:end:WikiTextTocRule:228 --><!-- ws:start:WikiTextTocRule:229: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:229 --><!-- ws:start:WikiTextTocRule:230: --> | <a href="#Machine">Machine</a><!-- ws:end:WikiTextTocRule:230 --><!-- ws:start:WikiTextTocRule:231: --> | <a href="#Sephiroth">Sephiroth</a><!-- ws:end:WikiTextTocRule:231 --><!-- ws:start:WikiTextTocRule:232: --> | <a href="#Mohoho">Mohoho</a><!-- ws:end:WikiTextTocRule:232 --><!-- ws:start:WikiTextTocRule:233: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:233 --><!-- ws:start:WikiTextTocRule:234: --> | <a href="#Semaphore">Semaphore</a><!-- ws:end:WikiTextTocRule:234 --><!-- ws:start:WikiTextTocRule:235: --> | <a href="#Porkypine">Porkypine</a><!-- ws:end:WikiTextTocRule:235 --><!-- ws:start:WikiTextTocRule:236: --> | <a href="#Supraphon">Supraphon</a><!-- ws:end:WikiTextTocRule:236 --><!-- ws:start:WikiTextTocRule:237: --> | <a href="#Negra">Negra</a><!-- ws:end:WikiTextTocRule:237 --><!-- ws:start:WikiTextTocRule:238: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:238 --><!-- ws:start:WikiTextTocRule:239: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:239 --><!-- ws:start:WikiTextTocRule:240: --> | <a href="#Oregon">Oregon</a><!-- ws:end:WikiTextTocRule:240 --><!-- ws:start:WikiTextTocRule:241: --> | <a href="#Skateboard">Skateboard</a><!-- ws:end:WikiTextTocRule:241 --><!-- ws:start:WikiTextTocRule:242: --> | <a href="#Kryptonite">Kryptonite</a><!-- ws:end:WikiTextTocRule:242 --><!-- ws:start:WikiTextTocRule:243: --> | <a href="#Glacial">Glacial</a><!-- ws:end:WikiTextTocRule:243 --><!-- ws:start:WikiTextTocRule:244: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:244 --><!-- ws:start:WikiTextTocRule:245: --> | ||
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Line 1,775: | Line 1,775: | ||
<br /> | <br /> | ||
EDOs: 6, 16, 22, 28, 50, 122, 172, 222<br /> | EDOs: 6, 16, 22, 28, 50, 122, 172, 222<br /> | ||
RMS error: 0.3997<br /> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.3997<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz6">Six note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz6">Six note haplotonic scale</a><br /> | ||
Line 1,781: | Line 1,781: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz16">Sixteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/wizz16">Sixteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:41:&lt;h1&gt; --><h1 id="toc20"><a name=" | <!-- ws:start:WikiTextHeadingRule:41:&lt;h1&gt; --><h1 id="toc20"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:41 -->Bossier</h1> | ||
Subgroup: 2 | Subgroup: 2.7.11.13<br /> | ||
Commas: | Commas: 1573/1568, 15488/15379<br /> | ||
Sval name: 3&amp;17<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~14/11 = 421.309<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 896/891 26411/26244]<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 14/11; 1573/1568 15488/15379]<br /> | ||
Gencom map: [&lt;1 0 0 0 1 3|, &lt;0 0 0 8 7 2|]<br /> | |||
<br /> | |||
Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br /> | |||
EDOs: 17, 20, 37, 57, 94, 225, 319cd, 413bcd<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.4043 cents<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextLocalImageRule:259:&lt;img src=&quot;/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="bossier_225edo.jpg" title="bossier_225edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:259 --><br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier8">Eight note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier11">Eleven note chromatic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/bossier14">Fourteen note mega chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:43:&lt;h1&gt; --><h1 id="toc21"><a name="Penta"></a><!-- ws:end:WikiTextHeadingRule:43 -->Penta</h1> | |||
Subgroup: 2.9.7.11<br /> | |||
Commas: 896/891, 26411/26244<br /> | |||
Svalname: 8&amp;11<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 438.465<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 896/891 26411/26244]<br /> | |||
Gencom map: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]<br /> | Gencom map: [&lt;1 5/2 0 5 2|, &lt;0 -5/2 0 -6 4|]<br /> | ||
<br /> | <br /> | ||
Line 1,800: | Line 1,820: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta19">Nineteen note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta19">Nineteen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:45:&lt;h1&gt; --><h1 id="toc22"><a name="Marveltri"></a><!-- ws:end:WikiTextHeadingRule:45 -->Marveltri</h1> | ||
Subgroup: 2.5.9/7<br /> | Subgroup: 2.5.9/7<br /> | ||
Comma: 225/224<br /> | Comma: 225/224<br /> | ||
Line 1,813: | Line 1,833: | ||
Map: [&lt;1 0 5|, &lt;0 1 -2|]<br /> | Map: [&lt;1 0 5|, &lt;0 1 -2|]<br /> | ||
EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc<br /> | EDOs: 12, 13, 16, 19, 22, 25, 47, 69, 72, 97, 122, 269bc, 660bc<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.4801 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri7">Seven note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri7">Seven note albitonic scale</a><br /> | ||
Line 1,819: | Line 1,839: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13">Thirteen note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13">Thirteen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:47:&lt;h1&gt; --><h1 id="toc23"><a name="Edson"></a><!-- ws:end:WikiTextHeadingRule:47 -->Edson</h1> | ||
Subgroup: 2.7.11.13<br /> | Subgroup: 2.3.7/5.11/5.13/5<br /> | ||
Commas: | Commas: 196/195, 352/351, 364/363<br /> | ||
Related temperaments: <a class="wiki_link" href="/Hemifamity%20family#Pele">pele</a>, cassandra<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 703.414<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 196/195, 352/351, 364/363]<br /> | ||
Gencom map: [&lt;1 | Gencom map: [&lt;1 1 -5 -1 2 4|, &lt;0 1 29/4 5/4 -11/4 -23/4|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 10 17 22|, &lt;0 1 -6 -10 -13|]<br /> | |||
Map: [&lt;1 0 10 17 22|, &lt;0 1 -6 -10 -13|]<br /> | |||
EDOs: 12, 17, 29, 621bcde<br /> | EDOs: 12, 17, 29, 621bcde<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5102 cents<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson5">Five note haplotonic scale</a><br /> | ||
Line 1,858: | Line 1,858: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson17">Seventeen note mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/edson17">Seventeen note mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:49:&lt;h1&gt; --><h1 id="toc24"><a name=" | <!-- ws:start:WikiTextHeadingRule:49:&lt;h1&gt; --><h1 id="toc24"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:49 -->Photia</h1> | ||
Subgroup: 2.5. | Subgroup: 2.3.5.17.19<br /> | ||
Commas: | Commas: 171/170, 256/255, 324/323<br /> | ||
Sval name: | Sval name: 12&amp;41<br /> | ||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 701.470<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 176/175 640/637 847/845]<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 171/170 256/255 324/323]<br /> | ||
Gencom map: [&lt;1 1 7 0 0 0 0 6|, &lt;0 1 -8 0 0 0 7 -3|]<br /> | |||
<br /> | |||
Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br /> | |||
EDOs: 7, 12, 17, 29, 41, 53, 65, 142d, 207d, 272d<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5374 cents<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextLocalImageRule:260:&lt;img src=&quot;/file/view/photia_65edo.png/284863542/photia_65edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" /><!-- ws:end:WikiTextLocalImageRule:260 --><br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/photia12">Twelve note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:51:&lt;h1&gt; --><h1 id="toc25"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:51 -->Shoe</h1> | |||
Subgroup: 2.5.7.11.13<br /> | |||
Commas: 176/175, 640/637, 847/845<br /> | |||
Sval name: 16&amp;21<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~8/7 = 227.108<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 176/175 640/637 847/845]<br /> | |||
Gencom map: [&lt;1 0 1 3 1 2|, &lt;0 0 7 -1 13 9|]<br /> | Gencom map: [&lt;1 0 1 3 1 2|, &lt;0 0 7 -1 13 9|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]<br /> | Map: [&lt;1 1 3 1 2|, &lt;0 7 -1 13 9|]<br /> | ||
EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce<br /> | EDOs: 16, 21, 37, 206bce, 243bce, 280bce, 317bce, 354bce, 391bce<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5433 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:261:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg" alt="shoe_37edo.jpg" title="shoe_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:261 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe5">shoe5</a> - five note mini <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
Line 1,879: | Line 1,899: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe16">shoe16</a> - sixteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/shoe16">shoe16</a> - sixteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:53:&lt;h1&gt; --><h1 id="toc26"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:53 -->Roulette</h1> | ||
Subgroup: 2.5.7 | Subgroup: 2.5.7.11.13<br /> | ||
Commas: 176/175, | Commas: 176/175, 1375/1372, 640/637<br /> | ||
Sval name: 6&amp;25<br /> | |||
Related | Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family">Hemiwürschmidt</a><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~28/25 = 194.594<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 28/25; 176/175 1375/1372 640/637]<br /> | |||
Gencom map: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 28/25; 176/175 1375/1372 640/637]<br /> | |||
Gencom map: [&lt;1 0 2 2 2 5|, &lt;0 0 2 5 9 -8|]<br /> | |||
<br /> | <br /> | ||
Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]<br /> | Map: [&lt;1 0 -3 -7 13|, &lt;0 2 5 9 -8|]<br /> | ||
EDOs: 6, 7, 13, 19, 25, 31, 37<br /> | EDOs: 6, 7, 13, 19, 25, 31, 37<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5567 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:262:&lt;img src=&quot;http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="roulette_37edo.jpg" title="roulette_37edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:262 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette6">roulette6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
Line 1,920: | Line 1,921: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19">roulette19</a> - nineteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale">mega chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/roulette19">roulette19</a> - nineteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale">mega chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:55:&lt;h1&gt; --><h1 id="toc27"><a name=" | <!-- ws:start:WikiTextHeadingRule:55:&lt;h1&gt; --><h1 id="toc27"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:55 -->Silver</h1> | ||
Subgroup: 2.5.7.13.17<br /> | |||
Commas: | Commas: 170/169, 640/637, 5525/5488<br /> | ||
Sval name: 10&amp;27<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/8 = 842.711<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/8; 170/169 640/637 5525/5488]<br /> | ||
Gencom map: [&lt;1 0 0 0|, &lt;0 0 | Gencom map: [&lt;1 0 -4 0 0 3 9|, &lt;0 0 9 4 0 1 -7|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 | Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br /> | ||
EDOs: | EDOs: 7, 10, 17, 27, 37, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 84, 131, 178e, 309cde, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo">487bcdee</a><br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5886 cents<br /> | ||
<br /> | <br /> | ||
< | <!-- ws:start:WikiTextLocalImageRule:263:&lt;img src=&quot;/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:263 --><br /> | ||
< | |||
<br /> | <br /> | ||
< | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver7">silver7</a> -seven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver10">silver10</a> - ten note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/silver17">silver17</a> - seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <!-- ws:start:WikiTextHeadingRule:57:&lt;h1&gt; --><h1 id="toc28"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:57 -->Baldy</h1> | ||
Subgroup: 2.9.5.7.13<br /> | |||
Commas: 225/224, 325/324, 640/637<br /> | |||
Sval name: 6&amp;35<br /> | |||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">Garibaldi</a><br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/8 = 204.090<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/8; 225/224 325/324 640/637]<br /> | |||
Gencom map: [&lt;1 3/2 3 4 0 2|, &lt;0 1/2 -4 -7 0 10|]<br /> | |||
< | |||
<br /> | <br /> | ||
< | Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]<br /> | ||
EDOs: 6, 11, 17, 23, 29, 35, 41, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 100, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/147edo">147</a>, 488cd, 635cd<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.5999 cents<br /> | |||
<br /> | <br /> | ||
< | <!-- ws:start:WikiTextLocalImageRule:264:&lt;img src=&quot;/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:264 --><br /> | ||
< | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:59:&lt;h1&gt; --><h1 id="toc29"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule: | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy6">baldy6</a> - six note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/haplotonic%20scale">haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy11">baldy11</a> - eleven note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/albitonic%20scale">albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/baldy17">baldy17</a> - seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:59:&lt;h1&gt; --><h1 id="toc29"><a name="Guanyintet"></a><!-- ws:end:WikiTextHeadingRule:59 -->Guanyintet</h1> | |||
Subgroup: 2.5.7/3.11/3<br /> | |||
Commas: 176/175, 540/539<br /> | |||
Svalname: 4&amp;9<br /> | |||
Related temperaments: guanyin, orwell<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~7/6 = 270.093<br /> | |||
<br /> | |||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 7/6; 176/175 540/539]<br /> | |||
Gencom map: [&lt;1 -4/3 3 -1/3 5/3|, &lt;0 4/3 -3 7/3 -11/3|]<br /> | |||
<br /> | |||
Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]<br /> | |||
EDOs: 9, 31, 40, 49, 89, 191bc, 227bc, 231bc, 271bc, 311bc, 316bcd<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.6028 cents<br /> | |||
<br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet5">Five note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet9">Nine note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/guanyintet13">Thirteen note chromatic scale</a><br /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:61:&lt;h1&gt; --><h1 id="toc30"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:61 -->Radon</h1> | |||
Subgroup: 2.3.7.11<br /> | Subgroup: 2.3.7.11<br /> | ||
Commas: 896/891, 1029/1024<br /> | Commas: 896/891, 1029/1024<br /> | ||
Line 1,971: | Line 1,994: | ||
Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br /> | Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br /> | ||
EDOs: 5, 36, 41, 87, 128<br /> | EDOs: 5, 36, 41, 87, 128<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.6502 cents<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:265:&lt;img src=&quot;/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:265 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5">Five note haplotonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon5">Five note haplotonic scale</a><br /> | ||
Line 1,979: | Line 2,002: | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16">Sixteen note chromatic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16">Sixteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:63:&lt;h1&gt; --><h1 id="toc31"><a name="Gariberttet"></a><!-- ws:end:WikiTextHeadingRule:63 -->Gariberttet</h1> | ||
Subgroup: 2 | Subgroup: 2.5/3.7/3.13/11<br /> | ||
Commas: | Commas: 275/273, 847/845<br /> | ||
Svalname: 4&amp;29<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~ | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~13/11 = 293.679<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/11; 275/273 847/845]<br /> | ||
Gencom map: [&lt;1 | Gencom map: [&lt;1 0 0 0 0 0|, &lt;0 -8/3 1/3 7/3 -1/2 1/2|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 | Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]<br /> | ||
EDOs: | EDOs: 29, 33, 37, 41, 45, 49, 78, 94, 143d, 237bd, 380bd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.6914 cents<br /> | ||
<br /> | <br /> | ||
< | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet5">Five note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet9">Nine note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/gariberttet13">Thirteen note chromatic scale</a><br /> | |||
<br /> | <br /> | ||
< | <!-- ws:start:WikiTextHeadingRule:65:&lt;h1&gt; --><h1 id="toc32"><a name="Namo"></a><!-- ws:end:WikiTextHeadingRule:65 -->Namo</h1> | ||
<a | Subgroup: 2.3.11.13<br /> | ||
Commas: 144/143, 243/242<br /> | |||
Related temperament: <a class="wiki_link" href="/Valinorismic%20temperaments#Mandos">mandos</a>, mohajira, hemif<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/9 = 351.488<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 144/143 243/242]<br /> | ||
Gencom map: [&lt;1 1 0 0 2 4|, &lt;0 2 0 0 5 -1|]<br /> | |||
<br /> | <br /> | ||
< | Map: [&lt;1 1 2 4|, &lt;0 2 5 -1|]<br /> | ||
EDOs: 7, 10, 17, 41, 58, 99cd<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7038 cents<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo7">Seven note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo10">Ten note albitonic scale</a><br /> | |||
<a class="wiki_link" href="/ | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/namo17">Seventeen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start: | <!-- ws:start:WikiTextHeadingRule:67:&lt;h1&gt; --><h1 id="toc33"><a name="Sentry"></a><!-- ws:end:WikiTextHeadingRule:67 -->Sentry</h1> | ||
Group: 2.5/3.9/7<br /> | |||
Commas: 245/243<br /> | |||
Svalname: 3&amp;5<br /> | |||
Related temperaments: sensi<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href=" | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~9/7 = 440.902<br /> | ||
<br /> | <br /> | ||
< | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 9/7; 245/243]<br /> | ||
Gencom map: [&lt;1 0 0 0|, &lt;0 0 2 -1|]<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/Tp%20tuning"> | Map: [&lt;1 0 0|, &lt;0 2 1|]<br /> | ||
EDOs: 8, 11, 19, 30, 41, 49, 52, 145b, 166c, 197bc, 215c, 264bc<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7105 cents<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry5">Five note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry8">Eight note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/sentry11">Eleven note note chromatic scale</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:69:&lt;h1&gt; --><h1 id="toc34"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:69 -->Hemif</h1> | |||
Subgroup: 2.3.7.11.13<br /> | |||
<a class="wiki_link" href="/ | Commas: 144/143, 243/242, 364/363<br /> | ||
Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments">Hemififths</a>, namo<br /> | |||
<br /> | <br /> | ||
< | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~11/9 = 351.691<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href=" | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 144/143 243/242 364/363]<br /> | ||
Gencom map: [&lt;1 1 0 -1 2 4|, &lt;0 2 0 13 5 -1|]<br /> | |||
< | |||
<br /> | <br /> | ||
Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br /> | |||
EDOs: 7, 10, 17, 24, 41, 58<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7167 cents<br /> | |||
<br /> | <br /> | ||
< | <!-- ws:start:WikiTextLocalImageRule:266:&lt;img src=&quot;/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:266 --><br /> | ||
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<a class="wiki_link" href="/ | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif7">Seven note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif10">Ten note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/hemif17">Seventeen note chromatic scale</a><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:71:&lt;h1&gt; --><h1 id="toc35"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:71 -->Garibaldi</h1> | |||
Group: 2.3.5.7<br /> | |||
< | Commas: 225/224, 3125/3087<br /> | ||
Val name: 12&amp;29<br /> | |||
<br /> | <br /> | ||
< | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~3/2 = 702.085<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href=" | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 225/224 3125/3087]<br /> | ||
Gencom map: [&lt;1 1 7 11], &lt;0 1 -8 -14|]<br /> | |||
<br /> | <br /> | ||
Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]<br /> | |||
EDOs: 7, 12, 17, 29, 41, 53, 94, 241c<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7257 cents<br /> | |||
<a class="wiki_link" href="/Tp%20tuning"> | |||
<br /> | <br /> | ||
< | <!-- ws:start:WikiTextLocalImageRule:267:&lt;img src=&quot;/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png" alt="garibaldi_94edo.png" title="garibaldi_94edo.png" /><!-- ws:end:WikiTextLocalImageRule:267 --><br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi12">Twelve note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/garibaldi17">Seventeen note chromatic scale</a><br /> | |||
<a class="wiki_link" href="/ | |||
<br /> | <br /> | ||
< | <!-- ws:start:WikiTextHeadingRule:73:&lt;h1&gt; --><h1 id="toc36"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:73 -->Mabila</h1> | ||
<a | Subgroup: 2.5.7<br /> | ||
< | Comma: 1071875/1048576<br /> | ||
Sval name: 7&amp;9<br /> | |||
<br /> | <br /> | ||
< | <a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~175/128 = 527.236<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 175/128; 1071875/1048576]<br /> | ||
Gencom map: [&lt;1 0 1 5}, &lt;0, 0, 3, -5|]<br /> | |||
<br /> | <br /> | ||
< | Map: [&lt;1 1 5|, &lt;0 3 -5|]<br /> | ||
EDOs: 7, 9, 16, 25, 41, 66, 305bc<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7729 cents<br /> | |||
<br /> | <br /> | ||
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< | |||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/ | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila7">Seven note haplotonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/ | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila9">Nine note albitonic scale</a><br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/ | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16">Sixteen note chromatic scale</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:75:&lt;h1&gt; --><h1 id="toc37"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:75 -->Indium</h1> | <!-- ws:start:WikiTextHeadingRule:75:&lt;h1&gt; --><h1 id="toc37"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:75 -->Indium</h1> | ||
Line 2,126: | Line 2,128: | ||
Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br /> | Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br /> | ||
EDOs: 33, 41, 49, 57, 106, 204, 253<br /> | EDOs: 33, 41, 49, 57, 106, 204, 253<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.7788 cents<br /> | ||
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<a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8">Eight note albitonic scale</a><br /> | <a class="wiki_link" href="http://xenharmonic.wikispaces.com/indium8">Eight note albitonic scale</a><br /> | ||
Line 2,136: | Line 2,138: | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow">The Cry of Indium</a></span></span> (in Indium 17) by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank">details</a><br /> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover"><span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow">The Cry of Indium</a></span></span> (in Indium 17) by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> =&gt; <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank">details</a><br /> | ||
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<!-- ws:start:WikiTextHeadingRule:79:&lt;h1&gt; --><h1 id="toc39"><a name=" | <!-- ws:start:WikiTextHeadingRule:79:&lt;h1&gt; --><h1 id="toc39"><a name="Starlingtet"></a><!-- ws:end:WikiTextHeadingRule:79 -->Starlingtet</h1> | ||
Group: 2.5/3.7/3<br /> | |||
Comma: 126/125<br /> | |||
Related | Svalname: 4&amp;15<br /> | ||
Related temperaments: starling; becomes myna<br /> | |||
<a class="wiki_link" href="/Tp%20tuning">POT2 generator</a>: ~6/5 = 311.154<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="/ | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 126/125]<br /> | ||
Gencom map: [&lt;1 -1 0 1|, &lt;0 4/3 1/3 -5/3|]<br /> | |||
<br /> | <br /> | ||
< | Map: [&lt;1 0 -1|, &lt;0 1 3|]<br /> | ||
EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b<br /> | |||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.8398 cents<br /> | |||
<br /> | <br /> | ||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet4">Four note haplotonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet7">Seven note albitonic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/starlingtet11">Eleven note chromatic scale</a><br /> | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/ | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/ | |||
<a class="wiki_link" href="http://xenharmonic.wikispaces.com/ | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:81:&lt;h1&gt; --><h1 id="toc40"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:81 -->Myna</h1> | <!-- ws:start:WikiTextHeadingRule:81:&lt;h1&gt; --><h1 id="toc40"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:81 -->Myna</h1> | ||
Line 2,168: | Line 2,168: | ||
Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br /> | Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br /> | ||
EDOs: 4, 27, 31, 58, 89, 236c, 325cd<br /> | EDOs: 4, 27, 31, 58, 89, 236c, 325cd<br /> | ||
<a class="wiki_link" href="/Tp%20tuning#T2%20tuning"> | <a class="wiki_link" href="/Tp%20tuning#T2%20tuning">RMS error</a>: 0.9516 cents<br /> | ||
<br /> | <br /> | ||
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