Chromatic pairs: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 346010332 - Original comment: ** |
Wikispaces>phylingual **Imported revision 349881986 - Original comment: ** |
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Line 1: | Line 1: | ||
<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: | : This revision was by author [[User:phylingual|phylingual]] and made on <tt>2012-07-02 20:32:28 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>349881986</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> | ||
Line 59: | Line 59: | ||
Commas: 65536/65219 | Commas: 65536/65219 | ||
Svals: 4&7 | Svals: 4&7 | ||
Related temperament: [[Gamelismic clan#superkleismic|superkleismic]] | |||
POTE generator: ~77/64 = 323.372 | POTE generator: ~77/64 = 323.372 | ||
Line 96: | Line 96: | ||
==Music== | ==Music== | ||
<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://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]]</span></span> by [[xenharmonic/Igliashon Jones|Igliashon Jones]] | <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://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]]//</span></span> by [[xenharmonic/Igliashon Jones|Igliashon Jones]] | ||
<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/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]]</span></span> by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | <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/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]]//</span></span> by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | ||
=Cata= | =Cata= | ||
Line 148: | Line 148: | ||
[[Gencom]]: [2 13/10; 847/845 1001/1000] | [[Gencom]]: [2 13/10; 847/845 1001/1000] | ||
Gencom map: [<1 0 -3/4 5/4 -3/4 1/4|, <0 0 0 -4 3 1|] | Gencom map: [<1 0 -3/4 5/4 -3/4 1/4|, <0 0 0 -4 3 1|] | ||
Map: [<1 2 0 1|, <0 -4 3 1|] | Map: [<1 2 0 1|, <0 -4 3 1|] | ||
Line 168: | Line 168: | ||
[[Gencom]]: [2 3/2; 352/351 364/363] | [[Gencom]]: [2 3/2; 352/351 364/363] | ||
Gencom map: [<1 1 0 -8/3 1/3 7/3|, <0 1 0 11/3 -1/3 -10/3|] | Gencom map: [<1 1 0 -8/3 1/3 7/3|, <0 1 0 11/3 -1/3 -10/3|] | ||
Map: [<1 0 7 12|, <0 1 -4 -7|] | Map: [<1 0 7 12|, <0 1 -4 -7|] | ||
Line 201: | Line 201: | ||
==Music== | ==Music== | ||
<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/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]</span></span> | <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/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]//</span></span> | ||
<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/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]</span></span> | <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/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]//</span></span> | ||
by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] | ||
Line 272: | Line 272: | ||
POTE generator: ~9/7 = 438.465 | POTE generator: ~9/7 = 438.465 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 -1 6|, <0 5 6 -4|] | Map: [<1 0 -1 6|, <0 5 6 -4|] | ||
Line 292: | Line 292: | ||
POTE generator: ~7/6 = 269.619 | POTE generator: ~7/6 = 269.619 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 2 -2|, <0 3 -1 5|] | Map: [<1 0 2 -2|, <0 3 -1 5|] | ||
Line 311: | Line 311: | ||
POTE generator: ~3/2 = 701.470 | POTE generator: ~3/2 = 701.470 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] | Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] | ||
Line 330: | Line 330: | ||
POTE generator: ~16/13 = 357.002 | POTE generator: ~16/13 = 357.002 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 5 4 4|, <0 -9 -4 -1|] | Map: [<1 5 4 4|, <0 -9 -4 -1|] | ||
Line 350: | Line 350: | ||
POTE generator: ~8/7 = 227.108 | POTE generator: ~8/7 = 227.108 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 1 3 1 2|, <0 7 -1 13 9|] | Map: [<1 1 3 1 2|, <0 7 -1 13 9|] | ||
Line 372: | Line 372: | ||
POTE generator: ~28/25 = 194.594 | POTE generator: ~28/25 = 194.594 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|] | Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|] | ||
Line 393: | Line 393: | ||
POTE generator: ~3/2 = 702.085 | POTE generator: ~3/2 = 702.085 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 15 25|, <0 1 -8 -14|] | Map: [<1 0 15 25|, <0 1 -8 -14|] | ||
Line 413: | Line 413: | ||
POTE generator: ~9/8 = 204.090 | POTE generator: ~9/8 = 204.090 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|] | Map: [<1 0 15 25 -28|, <0 1 -4 -7 10|] | ||
Line 433: | Line 433: | ||
POTE generator: ~14/11 = 421.309 | POTE generator: ~14/11 = 421.309 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 1 3|, <0 8 7 2|] | Map: [<1 0 1 3|, <0 8 7 2|] | ||
Line 454: | Line 454: | ||
POTE generator: ~8/7 = 234.381 | POTE generator: ~8/7 = 234.381 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 1 3 6|, <0 3 -1 -13|] | Map: [<1 1 3 6|, <0 3 -1 -13|] | ||
Line 474: | Line 474: | ||
POTE generator: ~6/5 = 310.146 | POTE generator: ~6/5 = 310.146 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 9 9 8|, <0 -10 -9 -7|] | Map: [<1 9 9 8|, <0 -10 -9 -7|] | ||
Line 494: | Line 494: | ||
POTE generator: ~13/8 = 842.711 | POTE generator: ~13/8 = 842.711 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|] | Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|] | ||
Line 514: | Line 514: | ||
POTE generator: ~175/128 = 527.236 | POTE generator: ~175/128 = 527.236 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 1 5|, <0 3 -5|] | Map: [<1 1 5|, <0 3 -5|] | ||
Line 534: | Line 534: | ||
POTE generator: 696.495 | POTE generator: 696.495 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 -4 -13|, <0 1 4 10|] | Map: [<1 0 -4 -13|, <0 1 4 10|] | ||
Line 554: | Line 554: | ||
POTE generator: ~6/5 = 311.213 | POTE generator: ~6/5 = 311.213 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 -1|, <0 1 3|] | Map: [<1 0 -1|, <0 1 3|] | ||
Line 572: | Line 572: | ||
POTE generator: ~12/11 = 147.159 | POTE generator: ~12/11 = 147.159 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 0 2|, <0 6 10 -1|] | Map: [<1 0 0 2|, <0 6 10 -1|] | ||
Line 585: | Line 585: | ||
==Music== | ==Music== | ||
<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]] | ||
=Magic= | =Magic= | ||
Line 594: | Line 594: | ||
POTE generator: ~5/4 = 380.696 | POTE generator: ~5/4 = 380.696 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 2 -1 6|, <0 5 1 12 -8|] | Map: [<1 0 2 -1 6|, <0 5 1 12 -8|] | ||
Line 609: | Line 609: | ||
==Music== | ==Music== | ||
<span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]]</span> [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]]//</span> [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] | ||
=Gariberttet= | =Gariberttet= | ||
Line 618: | Line 618: | ||
POTE generator: ~13/11 = 292.418 | POTE generator: ~13/11 = 292.418 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 0 0|, <0 3 5 1|] | Map: [<1 0 0 0|, <0 3 5 1|] | ||
Line 636: | Line 636: | ||
POTE generator: ~11/9 = 351.691 | POTE generator: ~11/9 = 351.691 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] | Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] | ||
Line 656: | Line 656: | ||
POTE generator: ~9/7 = 425.244 | POTE generator: ~9/7 = 425.244 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 3 6 7|, <0 -4 -9 -10|] | Map: [<1 3 6 7|, <0 -4 -9 -10|] | ||
Line 676: | Line 676: | ||
POTE generator: ~9/7 = 443.383 | POTE generator: ~9/7 = 443.383 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 6 8 11|, <0 -7 -9 -13|] | Map: [<1 6 8 11|, <0 -7 -9 -13|] | ||
Line 696: | Line 696: | ||
POTE generator: ~11/10 = 156.055 | POTE generator: ~11/10 = 156.055 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 1 2 2|, <0 -2 -6 -1|] | Map: [<1 1 2 2|, <0 -2 -6 -1|] | ||
Line 709: | Line 709: | ||
==Music== | ==Music== | ||
<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/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]</span></span> by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15 | <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/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]//</span></span> by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15 | ||
=Semidim= | =Semidim= | ||
Line 718: | Line 718: | ||
POTE generator: ~13/10 = 453.190 | POTE generator: ~13/10 = 453.190 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|] | Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|] | ||
Line 737: | Line 737: | ||
POTE generator: ~7/6 = 271.426 | POTE generator: ~7/6 = 271.426 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 3 1 3|, <0 7 -3 8 2|] | Map: [<1 0 3 1 3|, <0 7 -3 8 2|] | ||
Line 757: | Line 757: | ||
POTE generator: ~6/5 = 319.424 | POTE generator: ~6/5 = 319.424 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 5 2|, <0 1 -3 2|] | Map: [<1 0 5 2|, <0 1 -3 2|] | ||
Line 776: | Line 776: | ||
POTE generator: ~9/7 = 438.574 | POTE generator: ~9/7 = 438.574 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 0|, <0 2 1|] | Map: [<1 0 0|, <0 2 1|] | ||
Line 795: | Line 795: | ||
POTE generator:~7/6 = 268.508 | POTE generator:~7/6 = 268.508 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 1|, <0 1 2|] | Map: [<1 0 1|, <0 1 2|] | ||
Line 811: | Line 811: | ||
POTE generator: ~13/11 = 279.318 | POTE generator: ~13/11 = 279.318 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 1 0|, <0 2 3|] | Map: [<1 1 0|, <0 2 3|] | ||
Line 831: | Line 831: | ||
POTE generator: ~13/12 = 139.990 | POTE generator: ~13/12 = 139.990 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 1 2 3 3|, <0 5 7 4 6|] | Map: [<1 1 2 3 3|, <0 5 7 4 6|] | ||
Line 851: | Line 851: | ||
POTE generator: ~11/9 = 348.094 | POTE generator: ~11/9 = 348.094 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 1 0 2|, <0 2 8 5|] | Map: [<1 1 0 2|, <0 2 8 5|] | ||
Line 863: | Line 863: | ||
[[xenharmonic/mohaha10|Ten note chromatic scale]] | [[xenharmonic/mohaha10|Ten note chromatic scale]] | ||
===Music=== | ===Music=== | ||
[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]] by [[Billy Stiltner]] | //[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]]// by [[Billy Stiltner]] | ||
==Mohoho== | ==Mohoho== | ||
Line 872: | Line 872: | ||
POTE generator: ~11/9 = 348.916 | POTE generator: ~11/9 = 348.916 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 1 0 2 4|, <0 2 8 5 -1|] | Map: [<1 1 0 2 4|, <0 2 8 5 -1|] | ||
Line 886: | Line 886: | ||
POTE generator: ~9/7 = 438.977 | POTE generator: ~9/7 = 438.977 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|] | Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|] | ||
Line 905: | Line 905: | ||
POTE generator: ~9/8 = 193.937 | POTE generator: ~9/8 = 193.937 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|] | Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|] | ||
Line 925: | Line 925: | ||
POTE generator: ~9/8 = 192.500 | POTE generator: ~9/8 = 192.500 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|] | Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|] | ||
Line 944: | Line 944: | ||
POTE generator: ~11/8 = 540.099 | POTE generator: ~11/8 = 540.099 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 1 3 1|, <0 4 1 6|] | Map: [<1 1 3 1|, <0 4 1 6|] | ||
Line 965: | Line 965: | ||
POTE generator: ~3/2 = 707.192 | POTE generator: ~3/2 = 707.192 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 6 13|, <0 1 -2 -6|] | Map: [<1 0 6 13|, <0 1 -2 -6|] | ||
Line 983: | Line 983: | ||
POTE generator: ~3/2 = 706.137 | POTE generator: ~3/2 = 706.137 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|] | Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|] | ||
Line 996: | Line 996: | ||
POTE generator: ~9/8 = 214.384 | POTE generator: ~9/8 = 214.384 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 6 13|, <0 1 -1 -3|] | Map: [<1 0 6 13|, <0 1 -1 -3|] | ||
Line 1,016: | Line 1,016: | ||
POTE generator: ~8/7 = 214.095 | POTE generator: ~8/7 = 214.095 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<2 0 11 12|, <0 1 -1 -1|] | Map: [<2 0 11 12|, <0 1 -1 -1|] | ||
Line 1,036: | Line 1,036: | ||
POTE generator: ~9/8 = 191.059 | POTE generator: ~9/8 = 191.059 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|] | Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|] | ||
Line 1,055: | Line 1,055: | ||
POTE generator: ~7/6 = 250.385 | POTE generator: ~7/6 = 250.385 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<1 0 2|, <0 2 1|] | Map: [<1 0 2|, <0 2 1|] | ||
Line 1,075: | Line 1,075: | ||
POTE generator: ~8/7 = 228.275 | POTE generator: ~8/7 = 228.275 | ||
[[Gencom]]: | [[Gencom]]: | ||
Gencom map: | Gencom map: | ||
Map: [<3 7 0 2|, <0 0 1 1|] | Map: [<3 7 0 2|, <0 0 1 1|] | ||
Line 1,142: | Line 1,142: | ||
Commas: 65536/65219<br /> | Commas: 65536/65219<br /> | ||
Svals: 4&amp;7<br /> | Svals: 4&amp;7<br /> | ||
<br /> | Related temperament: <a class="wiki_link" href="/Gamelismic%20clan#superkleismic">superkleismic</a><br /> | ||
POTE generator: ~77/64 = 323.372<br /> | POTE generator: ~77/64 = 323.372<br /> | ||
<br /> | <br /> | ||
Line 1,179: | Line 1,179: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="Bridgetown-Music"></a><!-- ws:end:WikiTextHeadingRule:11 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:11:&lt;h2&gt; --><h2 id="toc5"><a name="Bridgetown-Music"></a><!-- ws:end:WikiTextHeadingRule:11 -->Music</h2> | ||
<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://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3" rel="nofollow">Paint in the Water 29</a></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Igliashon%20Jones">Igliashon Jones</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"><em><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3" rel="nofollow">Paint in the Water 29</a></em></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Igliashon%20Jones">Igliashon Jones</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/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow">Route 14 in Bridgetown</a></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow">Route 14 in Bridgetown</a></em></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:13 -->Cata</h1> | <!-- ws:start:WikiTextHeadingRule:13:&lt;h1&gt; --><h1 id="toc6"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:13 -->Cata</h1> | ||
Line 1,231: | Line 1,231: | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 847/845 1001/1000]<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 847/845 1001/1000]<br /> | ||
Gencom map: [&lt;1 0 -3/4 5/4 -3/4 1/4|, &lt;0 0 0 -4 3 1|] <br /> | Gencom map: [&lt;1 0 -3/4 5/4 -3/4 1/4|, &lt;0 0 0 -4 3 1|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br /> | Map: [&lt;1 2 0 1|, &lt;0 -4 3 1|]<br /> | ||
Line 1,251: | Line 1,251: | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 352/351 364/363]<br /> | <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 352/351 364/363]<br /> | ||
Gencom map: [&lt;1 1 0 -8/3 1/3 7/3|, &lt;0 1 0 11/3 -1/3 -10/3|] <br /> | Gencom map: [&lt;1 1 0 -8/3 1/3 7/3|, &lt;0 1 0 11/3 -1/3 -10/3|]<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br /> | Map: [&lt;1 0 7 12|, &lt;0 1 -4 -7|]<br /> | ||
Line 1,284: | Line 1,284: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:23:&lt;h2&gt; --><h2 id="toc11"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:23 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:23:&lt;h2&gt; --><h2 id="toc11"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:23 -->Music</h2> | ||
<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/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow">The 11th Slendric Fanfare</a></span></span><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow">The 11th Slendric Fanfare</a></em></span></span><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/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a></span></span><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a></em></span></span><br /> | ||
by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br /> | by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<br /> | <br /> | ||
Line 1,355: | Line 1,355: | ||
POTE generator: ~9/7 = 438.465<br /> | POTE generator: ~9/7 = 438.465<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]<br /> | Map: [&lt;1 0 -1 6|, &lt;0 5 6 -4|]<br /> | ||
Line 1,375: | Line 1,375: | ||
POTE generator: ~7/6 = 269.619<br /> | POTE generator: ~7/6 = 269.619<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]<br /> | Map: [&lt;1 0 2 -2|, &lt;0 3 -1 5|]<br /> | ||
Line 1,394: | Line 1,394: | ||
POTE generator: ~3/2 = 701.470<br /> | POTE generator: ~3/2 = 701.470<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br /> | Map: [&lt;1 0 15 -7 9|, &lt;0 1 -8 7 -3|]<br /> | ||
Line 1,413: | Line 1,413: | ||
POTE generator: ~16/13 = 357.002<br /> | POTE generator: ~16/13 = 357.002<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br /> | Map: [&lt;1 5 4 4|, &lt;0 -9 -4 -1|]<br /> | ||
Line 1,433: | Line 1,433: | ||
POTE generator: ~8/7 = 227.108<br /> | POTE generator: ~8/7 = 227.108<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<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 /> | ||
Line 1,455: | Line 1,455: | ||
POTE generator: ~28/25 = 194.594<br /> | POTE generator: ~28/25 = 194.594<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<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 /> | ||
Line 1,476: | Line 1,476: | ||
POTE generator: ~3/2 = 702.085<br /> | POTE generator: ~3/2 = 702.085<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]<br /> | Map: [&lt;1 0 15 25|, &lt;0 1 -8 -14|]<br /> | ||
Line 1,496: | Line 1,496: | ||
POTE generator: ~9/8 = 204.090<br /> | POTE generator: ~9/8 = 204.090<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]<br /> | Map: [&lt;1 0 15 25 -28|, &lt;0 1 -4 -7 10|]<br /> | ||
Line 1,516: | Line 1,516: | ||
POTE generator: ~14/11 = 421.309<br /> | POTE generator: ~14/11 = 421.309<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br /> | Map: [&lt;1 0 1 3|, &lt;0 8 7 2|]<br /> | ||
Line 1,537: | Line 1,537: | ||
POTE generator: ~8/7 = 234.381<br /> | POTE generator: ~8/7 = 234.381<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br /> | Map: [&lt;1 1 3 6|, &lt;0 3 -1 -13|]<br /> | ||
Line 1,557: | Line 1,557: | ||
POTE generator: ~6/5 = 310.146<br /> | POTE generator: ~6/5 = 310.146<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br /> | Map: [&lt;1 9 9 8|, &lt;0 -10 -9 -7|]<br /> | ||
Line 1,577: | Line 1,577: | ||
POTE generator: ~13/8 = 842.711<br /> | POTE generator: ~13/8 = 842.711<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br /> | Map: [&lt;1 5 4 4 2|, &lt;0 -9 -4 -1 7|]<br /> | ||
Line 1,597: | Line 1,597: | ||
POTE generator: ~175/128 = 527.236<br /> | POTE generator: ~175/128 = 527.236<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 5|, &lt;0 3 -5|]<br /> | Map: [&lt;1 1 5|, &lt;0 3 -5|]<br /> | ||
Line 1,617: | Line 1,617: | ||
POTE generator: 696.495<br /> | POTE generator: 696.495<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]<br /> | Map: [&lt;1 0 -4 -13|, &lt;0 1 4 10|]<br /> | ||
Line 1,637: | Line 1,637: | ||
POTE generator: ~6/5 = 311.213<br /> | POTE generator: ~6/5 = 311.213<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -1|, &lt;0 1 3|]<br /> | Map: [&lt;1 0 -1|, &lt;0 1 3|]<br /> | ||
Line 1,655: | Line 1,655: | ||
POTE generator: ~12/11 = 147.159<br /> | POTE generator: ~12/11 = 147.159<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br /> | Map: [&lt;1 0 0 2|, &lt;0 6 10 -1|]<br /> | ||
Line 1,668: | Line 1,668: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:63:&lt;h2&gt; --><h2 id="toc31"><a name="Indium-Music"></a><!-- ws:end:WikiTextHeadingRule:63 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:63:&lt;h2&gt; --><h2 id="toc31"><a name="Indium-Music"></a><!-- ws:end:WikiTextHeadingRule:63 -->Music</h2> | ||
<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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow">The Cry of Indium</a></em></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 /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:65:&lt;h1&gt; --><h1 id="toc32"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:65 -->Magic</h1> | <!-- ws:start:WikiTextHeadingRule:65:&lt;h1&gt; --><h1 id="toc32"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:65 -->Magic</h1> | ||
Line 1,677: | Line 1,677: | ||
POTE generator: ~5/4 = 380.696<br /> | POTE generator: ~5/4 = 380.696<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br /> | Map: [&lt;1 0 2 -1 6|, &lt;0 5 1 12 -8|]<br /> | ||
Line 1,692: | Line 1,692: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:67:&lt;h2&gt; --><h2 id="toc33"><a name="Magic-Music"></a><!-- ws:end:WikiTextHeadingRule:67 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:67:&lt;h2&gt; --><h2 id="toc33"><a name="Magic-Music"></a><!-- ws:end:WikiTextHeadingRule:67 -->Music</h2> | ||
<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/magic/daily20120113-piano-magic16-.mp3" rel="nofollow">Chromatic piece in magic 16</a></span> <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> | <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow">Chromatic piece in magic 16</a></em></span> <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:69:&lt;h1&gt; --><h1 id="toc34"><a name="Gariberttet"></a><!-- ws:end:WikiTextHeadingRule:69 -->Gariberttet</h1> | <!-- ws:start:WikiTextHeadingRule:69:&lt;h1&gt; --><h1 id="toc34"><a name="Gariberttet"></a><!-- ws:end:WikiTextHeadingRule:69 -->Gariberttet</h1> | ||
Line 1,701: | Line 1,701: | ||
POTE generator: ~13/11 = 292.418<br /> | POTE generator: ~13/11 = 292.418<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]<br /> | Map: [&lt;1 0 0 0|, &lt;0 3 5 1|]<br /> | ||
Line 1,719: | Line 1,719: | ||
POTE generator: ~11/9 = 351.691<br /> | POTE generator: ~11/9 = 351.691<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br /> | Map: [&lt;1 1 -1 2 4|, &lt;0 2 13 5 -1|]<br /> | ||
Line 1,739: | Line 1,739: | ||
POTE generator: ~9/7 = 425.244<br /> | POTE generator: ~9/7 = 425.244<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br /> | Map: [&lt;1 3 6 7|, &lt;0 -4 -9 -10|]<br /> | ||
Line 1,759: | Line 1,759: | ||
POTE generator: ~9/7 = 443.383<br /> | POTE generator: ~9/7 = 443.383<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br /> | Map: [&lt;1 6 8 11|, &lt;0 -7 -9 -13|]<br /> | ||
Line 1,779: | Line 1,779: | ||
POTE generator: ~11/10 = 156.055<br /> | POTE generator: ~11/10 = 156.055<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br /> | Map: [&lt;1 1 2 2|, &lt;0 -2 -6 -1|]<br /> | ||
Line 1,792: | Line 1,792: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:79:&lt;h2&gt; --><h2 id="toc39"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:79 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:79:&lt;h2&gt; --><h2 id="toc39"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:79 -->Music</h2> | ||
<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/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow">A Greeley Steals Halloween</a></span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank">Chris Vaisvil</a> in Greeley 15<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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow">A Greeley Steals Halloween</a></em></span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank">Chris Vaisvil</a> in Greeley 15<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:81:&lt;h1&gt; --><h1 id="toc40"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:81 -->Semidim</h1> | <!-- ws:start:WikiTextHeadingRule:81:&lt;h1&gt; --><h1 id="toc40"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:81 -->Semidim</h1> | ||
Line 1,801: | Line 1,801: | ||
POTE generator: ~13/10 = 453.190<br /> | POTE generator: ~13/10 = 453.190<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br /> | Map: [&lt;1 3 5 3 4|, &lt;0 -6 -10 -3 -5|]<br /> | ||
Line 1,820: | Line 1,820: | ||
POTE generator: ~7/6 = 271.426<br /> | POTE generator: ~7/6 = 271.426<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br /> | Map: [&lt;1 0 3 1 3|, &lt;0 7 -3 8 2|]<br /> | ||
Line 1,840: | Line 1,840: | ||
POTE generator: ~6/5 = 319.424<br /> | POTE generator: ~6/5 = 319.424<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]<br /> | Map: [&lt;1 0 5 2|, &lt;0 1 -3 2|]<br /> | ||
Line 1,859: | Line 1,859: | ||
POTE generator: ~9/7 = 438.574<br /> | POTE generator: ~9/7 = 438.574<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 0|, &lt;0 2 1|]<br /> | Map: [&lt;1 0 0|, &lt;0 2 1|]<br /> | ||
Line 1,878: | Line 1,878: | ||
POTE generator:~7/6 = 268.508<br /> | POTE generator:~7/6 = 268.508<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 1|, &lt;0 1 2|]<br /> | Map: [&lt;1 0 1|, &lt;0 1 2|]<br /> | ||
Line 1,894: | Line 1,894: | ||
POTE generator: ~13/11 = 279.318<br /> | POTE generator: ~13/11 = 279.318<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 0|, &lt;0 2 3|]<br /> | Map: [&lt;1 1 0|, &lt;0 2 3|]<br /> | ||
Line 1,914: | Line 1,914: | ||
POTE generator: ~13/12 = 139.990<br /> | POTE generator: ~13/12 = 139.990<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]<br /> | Map: [&lt;1 1 2 3 3|, &lt;0 5 7 4 6|]<br /> | ||
Line 1,934: | Line 1,934: | ||
POTE generator: ~11/9 = 348.094<br /> | POTE generator: ~11/9 = 348.094<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br /> | Map: [&lt;1 1 0 2|, &lt;0 2 8 5|]<br /> | ||
Line 1,947: | Line 1,947: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:97:&lt;h3&gt; --><h3 id="toc48"><a name="Mohaha--Music"></a><!-- ws:end:WikiTextHeadingRule:97 -->Music</h3> | <!-- ws:start:WikiTextHeadingRule:97:&lt;h3&gt; --><h3 id="toc48"><a name="Mohaha--Music"></a><!-- ws:end:WikiTextHeadingRule:97 -->Music</h3> | ||
<a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow">Mohaha10ping2</a> by <a class="wiki_link" href="/Billy%20Stiltner">Billy Stiltner</a><br /> | <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow">Mohaha10ping2</a></em> by <a class="wiki_link" href="/Billy%20Stiltner">Billy Stiltner</a><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:99:&lt;h2&gt; --><h2 id="toc49"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:99 -->Mohoho</h2> | <!-- ws:start:WikiTextHeadingRule:99:&lt;h2&gt; --><h2 id="toc49"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:99 -->Mohoho</h2> | ||
Line 1,955: | Line 1,955: | ||
POTE generator: ~11/9 = 348.916<br /> | POTE generator: ~11/9 = 348.916<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br /> | Map: [&lt;1 1 0 2 4|, &lt;0 2 8 5 -1|]<br /> | ||
Line 1,969: | Line 1,969: | ||
POTE generator: ~9/7 = 438.977<br /> | POTE generator: ~9/7 = 438.977<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br /> | Map: [&lt;1 0 2 -1 6 -2|, &lt;0 5 3 6 -4 9|]<br /> | ||
Line 1,988: | Line 1,988: | ||
POTE generator: ~9/8 = 193.937<br /> | POTE generator: ~9/8 = 193.937<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br /> | Map: [&lt;1 0 -4 -13 -25|, &lt;0 1 2 5 9|]<br /> | ||
Line 2,008: | Line 2,008: | ||
POTE generator: ~9/8 = 192.500<br /> | POTE generator: ~9/8 = 192.500<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br /> | Map: [&lt;1 0 -4 -13 -6|, &lt;0 1 2 5 3|]<br /> | ||
Line 2,027: | Line 2,027: | ||
POTE generator: ~11/8 = 540.099<br /> | POTE generator: ~11/8 = 540.099<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br /> | Map: [&lt;1 1 3 1|, &lt;0 4 1 6|]<br /> | ||
Line 2,048: | Line 2,048: | ||
POTE generator: ~3/2 = 707.192<br /> | POTE generator: ~3/2 = 707.192<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br /> | Map: [&lt;1 0 6 13|, &lt;0 1 -2 -6|]<br /> | ||
Line 2,066: | Line 2,066: | ||
POTE generator: ~3/2 = 706.137<br /> | POTE generator: ~3/2 = 706.137<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br /> | Map: [&lt;1 0 6 13 18|, &lt;0 1 -2 -6 -9|]<br /> | ||
Line 2,079: | Line 2,079: | ||
POTE generator: ~9/8 = 214.384<br /> | POTE generator: ~9/8 = 214.384<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br /> | Map: [&lt;1 0 6 13|, &lt;0 1 -1 -3|]<br /> | ||
Line 2,099: | Line 2,099: | ||
POTE generator: ~8/7 = 214.095<br /> | POTE generator: ~8/7 = 214.095<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]<br /> | Map: [&lt;2 0 11 12|, &lt;0 1 -1 -1|]<br /> | ||
Line 2,119: | Line 2,119: | ||
POTE generator: ~9/8 = 191.059<br /> | POTE generator: ~9/8 = 191.059<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br /> | Map: [&lt;1 0 -4 -13 10|, &lt;0 1 2 5 -2|]<br /> | ||
Line 2,138: | Line 2,138: | ||
POTE generator: ~7/6 = 250.385<br /> | POTE generator: ~7/6 = 250.385<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 0 2|, &lt;0 2 1|]<br /> | Map: [&lt;1 0 2|, &lt;0 2 1|]<br /> | ||
Line 2,158: | Line 2,158: | ||
POTE generator: ~8/7 = 228.275<br /> | POTE generator: ~8/7 = 228.275<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Gencom">Gencom</a>: <br /> | <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> | ||
Gencom map: <br /> | Gencom map:<br /> | ||
<br /> | <br /> | ||
Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br /> | Map: [&lt;3 7 0 2|, &lt;0 0 1 1|]<br /> |
Revision as of 20:32, 2 July 2012
IMPORTED REVISION FROM WIKISPACES
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- This revision was by author phylingual and made on 2012-07-02 20:32:28 UTC.
- The original revision id was 349881986.
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[[toc|flat]] [[media type="custom" key="11052942"]] ---- =Definitions= By a //chromatic pair// is meant a pair of [[xenharmonic/MOSScales|MOS]] in some rank two temperament (which may often be a [[xenharmonic/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]. The pair temperaments are listed in order of increasing unweighted rms error with [[xenharmonic/Target tunings|tuning target]] the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give. =Terrain= Subgroup: 2.9/5.9/7 Commas: 250047/250000 Sval name: 6&21 Related temperament: [[xenharmonic/Minortonic family#Domain|domain]] [[xenharmonic/POTE generator|POTE generator]]: ~10/9 = 182.462 [[Gencom]]: [63/50 10/9; 250047/250000] Gencom map: [<3 10/9 -7/9 2/9|, <0 -2/3 -1/3 2/3|] Map: [<3 0 -4|, <0 1 2|] EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558 Error: 0.0443 cents Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic. [[image:terrain_3558edo.png]] [[xenharmonic/terrain9|Nine note albitonic scale]] [[xenharmonic/terrain15|Fifteen note chromatic scale]] =Petrtri= Subgroup: 2.11/5.13/5 Comma: 2200/2197 Svalname: 3&5 POTE generator: ~13/10 = 455.062 [[Gencom]]: [2 13/10; 2200/2197] Gencom map: [<1 0 -1/3 0 -1/3 2/3|, <0 0 -4/3 0 5/3 -1/3|] Map: [<1 0 1|, <0 3 1|] EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c Error: 0.6258 cents [[image:petrtri_385edo.png]] [[xenharmonic/petrtri5|Five note haplotonic scale]] [[xenharmonic/petrtri8|Eight note albitonic scale]] [[xenharmonic/petrtri13|Thirteen note chromatic scale]] =Orgone= Subgroup: 2.7.11 Commas: 65536/65219 Svals: 4&7 Related temperament: [[Gamelismic clan#superkleismic|superkleismic]] POTE generator: ~77/64 = 323.372 [[Gencom]]: [2 77/64; 65536/65219] Gencom map: [<1 0 0 2 4|, <0 0 0 3 -2|] Map: [<1 2 4|, <0 3 -2|] EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308 Error: 0.7313 [[image:orgone_308edo.jpg]] [[xenharmonic/orgone7|Seven note albitonic scale]] [[xenharmonic/orgone11|Eleven note chromatic scale]] [[xenharmonic/orgone15|Fifteen note mega chromatic scale]] =Bridgetown= Subgroup: 2.3.11/5.13/5 Commas: 352/351, 676/675 Sval name: 5&24 Related temperament: [[xenharmonic/The Archipelago|barabados]] POTE generator: ~15/13 = 248.285 [[Gencom]]: [2 15/13; 352/351 676/675] Gencom map: [<1 2 -5/3 0 4/3 1/3|, <0 -2 4 0 -5 1|] Map: [<1 0 -6 -1|, <0 2 9 3|] EDOs: 5, 9, 14, 19, 24, 29 Error: 0.8996 cents [[image:bridgetown_29edo.png]] [[xenharmonic/bridgetown9|Nine note albitonic scale]] [[xenharmonic/bridgetown14|Fourteen note chromatic scale]] ==Music== <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://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3|Paint in the Water 29]]//</span></span> by [[xenharmonic/Igliashon Jones|Igliashon Jones]] <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/tuning-survey/daily20111026-bridgetown-14.mp3|Route 14 in Bridgetown]]//</span></span> by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] =Cata= Subgroup: 2.3.5.13 Commas: 325/324, 625/624 Sval name: 15&19 Related temperament: [[xenharmonic/Kleismic family|catakleismic]] POTE generator: ~6/5 = 317.076 [[Gencom]]: [2 6/5; 325/324 625/624] Gencom map: [<1 0 1 0 0 0|, <0 6 5 0 0 14|] Map: [<1 0 1 0|, <0 6 5 14|] EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd Error: 0.9355 cents [[image:xenharmonic/cata_246edo2.jpg]] [[xenharmonic/cata7|Seven note albitonic scale]] [[xenharmonic/cata11|Eleven note mega albitonic scale]] [[xenharmonic/cata15|Fifteen note chromatic scale]] [[xenharmonic/cata19|Nineteen note mega chromatic scale]] =Neutraltet= Subgroup: 2.3.11 Commas: 243/242 Svalname: 7&17 POTE generator: ~11/9 = 350.525 [[Gencom]]: [2 11/9; 243/242] Gencom map: [<1 1 0 0 2|, <0 2 0 0 5|] Map: [<1 1 2|, <0 2 5|] EDOs: 7, 17, 24, 65, 89, 202, 291, 380 Error: 1.007 [[image:neutraltet_380edo.png]] [[xenharmonic/neutraltet7|Seven note albitonic scale]] [[xenharmonic/neutraltet10|Ten note chromatic scale]] [[xenharmonic/neutraltet17|Seventeen note mega chromatic scale]] =Tridec= Subgroup: 2.7/5.11/5.13/5 Commas: 847/845, 1001/1000 Sval name: 5&8 POTE generator: ~13/10 = 454.461 [[Gencom]]: [2 13/10; 847/845 1001/1000] Gencom map: [<1 0 -3/4 5/4 -3/4 1/4|, <0 0 0 -4 3 1|] Map: [<1 2 0 1|, <0 -4 3 1|] EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c Error: 1.057 [[image:tridec_235edo.png]] [[xenharmonic/Tridec8|Eight note albitonic scale]] [[xenharmonic/Tridec13|Thirteen note chromatic scale]] =Pepperoni= Subgroup: 2.3.11/7.13/7 Commas: 352/351, 364/363 Sval name: 5&12 Related temperament: The [[xenharmonic/Peppermint-24|Pepper fifth]], which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name. POTE generator: ~3/2 = 704.052 [[Gencom]]: [2 3/2; 352/351 364/363] Gencom map: [<1 1 0 -8/3 1/3 7/3|, <0 1 0 11/3 -1/3 -10/3|] Map: [<1 0 7 12|, <0 1 -4 -7|] EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271 Error: 1.298 cents [[image:pepperoni_271edo.png]] [[xenharmonic/pepperoni7|Seven note albitonic scale]] [[xenharmonic/pepperoni12|Twelve note chromatic scale]] =Slendric= Subgroup: 2.3.7 Comma: 1029/1024 Sval name: 5&21 POTE generator: ~8/7 = 233.688 [[Gencom]]: [2 8/7; 1029/1024] Gencom map: [<1 1 0 3|, <0 3 0 -1|] Map: [<1 1 3|, <0 3 -1|] EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190 Error: 1.109 cents [[image:xenharmonic/slendric_190edo.jpg]] [[xenharmonic/slendric5|Five note haplotonic scale]] [[xenharmonic/slendric6|Six note haplotonic scale]] [[xenharmonic/slendric11|Eleven note albitonic scale]] [[xenharmonic/slendric16|Sixteen note chromatic scale]] ==Music== <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/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3|The 11th Slendric Fanfare]]//</span></span> <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/tuning-survey/daily20111026-16-slendric-virgins.mp3|16 Slendric Virgins]]//</span></span> by [[xenharmonic/Chris Vaisvil|Chris Vaisvil]] =Marveltwintri= Subgroup: 2.5/3.13/9 Comma: 325/324 Svalname: 3&4 POTE generator: ~6/5 = 317.755 [[Gencom]]: [2 6/5; 325/324] Gencom map: [<1 -1/6 5/6 0 0 -1/3|, <0 -1/2 -3/2 0 0 1|] Map: [<1 0 2|, <0 1 -2|] EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b Error: 1.413 cents [[image:marveltwintri_321edo.png]] [[xenharmonic/marveltwintri7|Seven note albitonic scale]] [[xenharmonic/marveltwintri11|Eleven note chromatic scale]] [[xenharmonic/marveltwintri15|Fifteen note mega chromatic scale]] =Nestoria= Subgroup: 2.3.5.19 Commas: 361/360, 513/512 Sval name: 12&29 Related temperament: [[xenharmonic/Schismatic family|schismatic]] POTE generator: ~3/2 = 701.746 [[Gencom]]: [2 3/2; 361/360 513/512] Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 0 -3|] Map: [<1 0 15 9|, <0 1 -8 -3|] EDOs: 7, 12, 17, 29, 41, 53, 118, 171 Error: 1.819 cents [[image:nestoria_171edo.png]] [[xenharmonic/nestoria7|Seven note albitonic scale]] [[xenharmonic/nestoria12|Twelve note chromatic scale]] [[xenharmonic/nestoria17|Seventeen note mega chromatic scale]] =Marveltri= Subgroup: 2.5.9/7 Comma: 225/224 Sval name: 3&13 Related temperaments: marvel, 22&47, magic POTE generator: ~5/4 = 382.618 [[Gencom]]: [2 5/4; 225/224] Gencom map: [<1 2/5 2 -1/5|, <0 -4/5 1 2/5|] Map: [<1 0 5|, <0 1 -2|] EDOs: 12, 13, 16, 19, 22, 47, 69 Error: 2.043 cents [[xenharmonic/marveltri7|Seven note albitonic scale]] [[xenharmonic/marveltri10|Ten note chromatic scale]] [[xenharmonic/marveltri13|Thirteen note mega chromatic scale]] =Penta= Subgroup: 2.9.7.11 Commas: 896/891, 26411/26244 Svalname: 8&11 POTE generator: ~9/7 = 438.465 [[Gencom]]: Gencom map: Map: [<1 0 -1 6|, <0 5 6 -4|] EDOs: 8, 11, 30, 41, 52 Error: 2.260 [[xenharmonic/penta5|Five note haplotonic scale]] [[xenharmonic/penta9|Nine note albitonic scale]] [[xenharmonic/penta13|Thirteen chromatic note scale]] [[xenharmonic/penta17|Seventeen note mega chromatic scale]] =Guanyintet= Subgroup: 2.5.7/3.11/3 Commas: 176/175, 540/539 Svalname: 4&9 Related temperaments: guanyin, orwell POTE generator: ~7/6 = 269.619 [[Gencom]]: Gencom map: Map: [<1 0 2 -2|, <0 3 -1 5|] EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd Error: 2.533 cents [[xenharmonic/guanyintet5|Five note haplotonic scale]] [[xenharmonic/guanyintet9|Nine note albitonic scale]] [[xenharmonic/guanyintet13|Thirteen note chromatic scale]] =Photia= Subgroup: 2.3.5.17.19 Commas: 171/170, 256/255, 324/323 Sval name: 12&41 Related temperament: [[xenharmonic/Schismatic family|schismatic]] POTE generator: ~3/2 = 701.470 [[Gencom]]: Gencom map: Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|] EDOs: 7, 12, 17, 29, 41, 53, 65 Error: 3.457 cents [[image:photia_65edo.png]] [[xenharmonic/photia7|Seven note albitonic scale]] [[xenharmonic/photia12|Twelve note chromatic scale]] =Huntington= Subgroup: 2.5.7.13 Commas: 640/637, 10985/10976 Sval name: 10&27 POTE generator: ~16/13 = 357.002 [[Gencom]]: Gencom map: Map: [<1 5 4 4|, <0 -9 -4 -1|] EDOs: 7, 10, 17, 27, 37, 84, 121, 400 Error: 2.1001 cents [[image:huntington_400edo.jpg]] [[xenharmonic/huntington7|Seven note haplotonic scale]] [[xenharmonic/huntington10|Ten note albitonic scale]] [[xenharmonic/huntington17|Seventeen note chromatic scale]] =Shoe= Subgroup: 2.5.7.11.13 Commas: 176/175, 640/637, 847/845 Sval name: 16&21 POTE generator: ~8/7 = 227.108 [[Gencom]]: Gencom map: Map: [<1 1 3 1 2|, <0 7 -1 13 9|] EDOs: 16, 21, 37 Error: 2.488 [[image:xenharmonic/shoe_37edo.jpg]] [[xenharmonic/shoe5|shoe5]] - five note mini [[xenharmonic/haplotonic scale|haplotonic scale]] [[xenharmonic/shoe6|shoe6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] [[xenharmonic/shoe11|shoe11]] - eleven note note [[xenharmonic/albitonic scale|albitonic scale]] [[xenharmonic/shoe16|shoe16]] - sixteen note [[xenharmonic/chromatic scale|chromatic scale]] =Roulette= Subgroup: 2.5.7.11.13 Commas: 176/175, 1375/1372, 640/637 Sval name: 6&25 Related temperament: [[xenharmonic/Würschmidt family|Hemiwürschmidt]] POTE generator: ~28/25 = 194.594 [[Gencom]]: Gencom map: Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|] EDOs: 6, 7, 13, 19, 25, 31, 37 Error: 2.555 cents [[image:xenharmonic/roulette_37edo.jpg]] [[xenharmonic/roulette6|roulette6]] - six note [[xenharmonic/haplotonic scale|haplotonic scale]] [[xenharmonic/roulette7|roulette7]] - seven note [[xenharmonic/albitonic scale|albitonic scale]] [[xenharmonic/roulette13|roulette13]] - thirteen note [[xenharmonic/chromatic scale|chromatic scale]] [[xenharmonic/roulette19|roulette19]] - nineteen note [[xenharmonic/mega chromatic scale|mega chromatic scale]] =Garibaldi= Group: 2.3.5.7 Commas: 225/224, 3125/3087 Val name: 12&29 POTE generator: ~3/2 = 702.085 [[Gencom]]: Gencom map: Map: [<1 0 15 25|, <0 1 -8 -14|] EDOs: 7, 12, 17, 29, 41, 53, 94 Error: 2.834 [[image:garibaldi_94edo.png]] [[xenharmonic/garibaldi12|Twelve note albitonic scale]] [[xenharmonic/garibaldi17|Seventeen note 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]] POTE generator: ~9/8 = 204.090 [[Gencom]]: Gencom map: 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]] Error: 2.617 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]] =Bossier= Subgroup: 2.7.11.13 Commas: 1573/1568, 15488/15379 Sval name: 3&17 POTE generator: ~14/11 = 421.309 [[Gencom]]: Gencom map: Map: [<1 0 1 3|, <0 8 7 2|] EDOs: 17, 20, 37, 57, 94, 225 Error: 2.665 cents [[image:bossier_225edo.jpg]] [[xenharmonic/bossier8|Eight note albitonic scale]] [[xenharmonic/bossier11|Eleven note chromatic scale]] [[xenharmonic/bossier14|Fourteen note mega chromatic scale]] =Radon= Subgroup: 2.3.7.11 Commas: 896/891, 1029/1024 Sval name: 5&36 Related temperament: [[xenharmonic/Gamelismic clan|Rodan]] POTE generator: ~8/7 = 234.381 [[Gencom]]: Gencom map: Map: [<1 1 3 6|, <0 3 -1 -13|] EDOs: 5, 36, 41, 87, 128 Error: 2.925 cents [[image:radon_128edo.jpg]] [[xenharmonic/radon5|Five note haplotonic scale]] [[xenharmonic/radon11|Eleven note albitonic scale]] [[xenharmonic/radon16|Sixteen note chromatic scale]] =Myna= Group: 2.3.5.7 Commas: 126/125, 1728/1715 Val name: 4&27 POTE generator: ~6/5 = 310.146 [[Gencom]]: Gencom map: Map: [<1 9 9 8|, <0 -10 -9 -7|] EDOs: 4, 27, 31, 58, 89 Error: 3.310 cents [[image:myna_89edo.jpg]] [[xenharmonic/myna7|Seven note haplotonic scale]] [[xenharmonic/myna11|Eleven note albitonic scale]] [[xenharmonic/myna15|Fifteen note chromatic scale]] =Silver= Subgroup: 2.5.7.13.17 Commas: 170/169, 640/637, 5525/5488 Sval name: 10&27 POTE generator: ~13/8 = 842.711 [[Gencom]]: Gencom map: Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|] EDOs: 7, 10, 17, 27, 37, [[xenharmonic/47edo|47]], 84, 131, [[xenharmonic/487edo|487]] Error: 3.437 [[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]] =Mabila= Subgroup: 2.5.7 Comma: 1071875/1048576 Sval name: 7&9 POTE generator: ~175/128 = 527.236 [[Gencom]]: Gencom map: Map: [<1 1 5|, <0 3 -5|] EDOs: 7, 9, 16, 25, 41, 66 Error: 3.560 [[image:mabila_66edo.jpg]] [[xenharmonic/mabila7|Seven note haplotonic scale]] [[xenharmonic/mabila9|Nine note albitonic scale]] [[xenharmonic/mabila16|Sixteen note chromatic scale]] =Meantone= Group: 2.3.5.7 Commas: 81/80, 126/125 Val name: 12&19 POTE generator: 696.495 [[Gencom]]: Gencom map: Map: [<1 0 -4 -13|, <0 1 4 10|] EDOs: 5, 7, 12, 19, 31, 81, 112, 143 Error: 3.585 [[image:meantone_31edo.jpg]] [[xenharmonic/meantone5|Five note haplotonic scale]] [[xenharmonic/meantone7|Seven note albitonic scale]] [[xenharmonic/meantone12|Twelve note chromatic scale]] =Starlingtet= Group: 2.5/3.7/3 Comma: 126/125 Svalname: 4&15 Related temperaments: starling; becomes myna POTE generator: ~6/5 = 311.213 [[Gencom]]: Gencom map: Map: [<1 0 -1|, <0 1 3|] EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b Error: 311.213 [[xenharmonic/starlingtet4|Four note haplotonic scale]] [[xenharmonic/starlingtet7|Seven note albitonic scale]] [[xenharmonic/starlingtet11|Eleven note chromatic scale]] =Indium= Subgroup: 2.5/3.7/3.11/3 Commas: 3025/3024, 3125/3087 Sval name: 8&33 POTE generator: ~12/11 = 147.159 [[Gencom]]: Gencom map: Map: [<1 0 0 2|, <0 6 10 -1|] EDOs: 33, 41, 49, 57, 106, 204, 253 Error: 3.968 cents [[image:indium_253edo.png]] [[xenharmonic/indium8|Eight note albitonic scale]] [[xenharmonic/indium17|Seventeen note chromatic scale]] ==Music== <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]] =Magic= Group: 2.3.5.7.11 Commas: 100/99, 225/224, 245/243 Val name: 19&22 POTE generator: ~5/4 = 380.696 [[Gencom]]: Gencom map: Map: [<1 0 2 -1 6|, <0 5 1 12 -8|] EDOs: 19, 22, 41, 104, 145 Error: 4.489 [[image:xenharmonic/magic_145edo.jpg]] [[xenharmonic/magic7|Seven note haplotonic scale]] [[xenharmonic/magic10|Ten note albitonic scale]] [[xenharmonic/magic13|Thirteen note chromatic scale]] [[xenharmonic/magic16|Sixteen note mega chromatic scale]] ==Music== <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link">//[[http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3|Chromatic piece in magic 16]]//</span> [[@http://www.chrisvaisvil.com/|Chris Vaisvil]] =Gariberttet= Subgroup: 2.5/3.7/3.13/11 Commas: 275/273, 847/845 Svalname: 4&29 POTE generator: ~13/11 = 292.418 [[Gencom]]: Gencom map: Map: [<1 0 0 0|, <0 3 5 1|] EDOs: 29, 33, 37, 41, 78 Error: 4.473 [[xenharmonic/gariberttet5|Five note haplotonic scale]] [[xenharmonic/gariberttet9|Nine note albitonic scale]] [[xenharmonic/gariberttet13|Thirteen note chromatic scale]] =Hemif= Subgroup: 2.3.7.11.13 Commas: 144/143, 243/242, 364/363 Related temperament: [[xenharmonic/Breedsmic temperaments|Hemififths]] POTE generator: ~11/9 = 351.691 [[Gencom]]: Gencom map: Map: [<1 1 -1 2 4|, <0 2 13 5 -1|] EDOs: 7, 10, 17, 24, 41, 58 Error: 4.867 cents [[image:hemif_58edo.jpg]] [[xenharmonic/hemif7|Seven note haplotonic scale]] [[xenharmonic/hemif10|Ten note albitonic scale]] [[xenharmonic/hemif17|Seventeen note chromatic scale]] =Skwares= Subgroup: 2.3.7.11 Commas: 99/98, 243/242 Related temperament: [[xenharmonic/Meantone family|squares]] POTE generator: ~9/7 = 425.244 [[Gencom]]: Gencom map: Map: [<1 3 6 7|, <0 -4 -9 -10|] EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206 Error: 4.942 cents [[image:skwares_206edo.png]] [[xenharmonic/skwares8|Eight note albitonic scale]] [[xenharmonic/skwares11|Eleven note mega albitonic scale]] [[xenharmonic/skwares14|Fourteen note chromatic scale]] =Sensi= Group: 2.3.5.7 Commas: 126/126, 245/243 Val name: 19&27 POTE generator: ~9/7 = 443.383 [[Gencom]]: Gencom map: Map: [<1 6 8 11|, <0 -7 -9 -13|] EDOs: 5, 8, 11, 19, 27, 46 Error: 5.019 [[image:xenharmonic/sensi_46edo.jpg]] [[xenharmonic/sensi5|Five note haplotonic scale]] [[xenharmonic/sensi8|Eight note albitonic scale]] [[xenharmonic/sensi11|Eleven note mega albitonic scale]] [[xenharmonic/sensi19|Nineteen note chromatic scale]] =Greeley= Subgroup: 2.5/3.7/3.11/3 Commas: 121/120, 126/125 POTE generator: ~11/10 = 156.055 [[Gencom]]: Gencom map: Map: [<1 1 2 2|, <0 -2 -6 -1|] EDOs: 8, 15, 23, 77, 100 Error: 5.404 cents [[image:greeley_100edo.png]] [[xenharmonic/greeley8|Eight note albitonic scale]] [[xenharmonic/greeley15|Fifteen note chromatic scale]] ==Music== <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/tuning-survey/daily20111027-a-greely-steals-halloween.mp3|A Greeley Steals Halloween]]//</span></span> by [[@http://chrisvaisvil.com/?p=1485|Chris Vaisvil]] in Greeley 15 =Semidim= Subgroup: 2.5/3.7/3.11/3.13/3 Commas: 121/120, 169/168, 275/273 Sval name: 8&29 POTE generator: ~13/10 = 453.190 [[Gencom]]: Gencom map: Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|] EDOs: 5, 8, 13, 21, 29, 37, 45 Error: 5.433 cents [[image:semidim_770edo.png]] [[xenharmonic/semidim8|Eight note albitonic scale]] [[xenharmonic/semidim13|Thirteen note chromatic scale]] =Orwell= Group: 2.3.5.7.11 Commas: 99/98, 121/120, 176/175 Val name: 9&22 POTE generator: ~7/6 = 271.426 [[Gencom]]: Gencom map: Map: [<1 0 3 1 3|, <0 7 -3 8 2|] EDOs: 9, 22, 31, 53, 84 Error: 5.584 [[image:xenharmonic/orwell_84edo.png]] [[xenharmonic/orwell5|Five note haplotonic scale]] [[xenharmonic/orwell9|Nine note albitonic scale]] [[xenharmonic/orwell13|Thirteen note chromatic scale]] =Magicaltet= Group: 2.5/3.7.11 Commas: 100/99, 385/384 Related temperaments: 4&7&15, magic POTE generator: ~6/5 = 319.424 [[Gencom]]: Gencom map: Map: [<1 0 5 2|, <0 1 -3 2|] EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd Error: 5.720 cents [[xenharmonic/magicaltet7|Seven note albitonic scale]] [[xenharmonic/magicaltet11|Eleven note chromatic scale]] [[xenharmonic/magicaltet15|Fifteen note mega scale]] =Sentry= Group: 2.5/3.9/7 Commas: 245/243 Svalname: 3&5 Related temperaments: sensi POTE generator: ~9/7 = 438.574 [[Gencom]]: Gencom map: Map: [<1 0 0|, <0 2 1|] EDOs: 8, 11, 30, 41, 52, 145b, 197bc Error: 5.793 cents [[xenharmonic/sentry5|Five note haplotonic scale]] [[xenharmonic/sentry8|Eight note albitonic scale]] [[xenharmonic/sentry11|Eleven note note chromatic scale]] =Mothwelltri= Group: 2.7/3.11 Comma: 99/98 Svalname: 1&4 Related temperament: Orwell POTE generator:~7/6 = 268.508 [[Gencom]]: Gencom map: Map: [<1 0 1|, <0 1 2|] EDOs: 9, 40, 49c, 58c, 67c, 76c Error: 6.119 cents [[xenharmonic/mothwelltri5|Five note haplotonic scale]] [[xenharmonic/mothwelltri9|Nine note albitonic scale]] [[xenharmonic/mothwelltri13|Thirteen note chromatic scale]] =Lovecraft= Group: 2.11.13 POTE generator: ~13/11 = 279.318 [[Gencom]]: Gencom map: Map: [<1 1 0|, <0 2 3|] EDOS: 13, 30, 43, 73, 116b Error: 6.026 cents [[image:lovecraft_116edo.png]] [[xenharmonic/lovecraft5|Five note haplotonic scale]] [[xenharmonic/lovecraft9|Nine note albitonic scale]] [[xenharmonic/lovecraft13|Thirteen note chromatic scale]] =Bleu= Group: 2.3.7.11.13 Commas: 78/77, 99/98, 144/143 Sval name: 9&17 POTE generator: ~13/12 = 139.990 [[Gencom]]: Gencom map: Map: [<1 1 2 3 3|, <0 5 7 4 6|] EDOs: [[xenharmonic/17edo|17]], [[xenharmonic/43edo|43]], [[xenharmonic/60edo|60c]] Error: 6.361 cents [[image:blue_60edo.png]] [[xenharmonic/bleu8|bleu8]] - Eight note [[xenharmonic/haplotonic scale|haplotonic scale]] [[xenharmonic/bleu9|bleu9]] - Nine note [[xenharmonic/albitonic scale|albitonic scale]] [[xenharmonic/bleu17|bleu17]] - Seventeen note [[xenharmonic/chromatic scale|chromatic scale]] =Mohaha= Subgroup: 2.3.5.11 Commas: 81/80, 121/120 Related temperament: [[xenharmonic/Meantone family|mohajira]] POTE generator: ~11/9 = 348.094 [[Gencom]]: Gencom map: Map: [<1 1 0 2|, <0 2 8 5|] EDOs: 24, 31, 69d, 100d, 131bd Error: 6.733 cents [[image:mohaha_131edo.png]] [[xenharmonic/mohaha7|Seven note albitonic scale]] [[xenharmonic/mohaha10|Ten note chromatic scale]] ===Music=== //[[http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3|Mohaha10ping2]]// by [[Billy Stiltner]] ==Mohoho== Subgroup: 2.3.5.11.13 Commas: 66/65, 81/80, 121/120 POTE generator: ~11/9 = 348.916 [[Gencom]]: Gencom map: Map: [<1 1 0 2 4|, <0 2 8 5 -1|] EDOs: 17c, 24, 31, 55, 86de, 141cde Error: 9.556 cents =Stacks= Subgroup: 2.9.15.7.11.13 Commas: 100/99, 105/104, 144/143, 196/195 Svalname: 11&30 POTE generator: ~9/7 = 438.977 [[Gencom]]: Gencom map: Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|] EDOs: 11, 30, 41 Error: 6.947 cents [[xenharmonic/stacks5|Five note haplotonic scale]] [[xenharmonic/stacks8|Eight note albitonic scale]] [[xenharmonic/stacks11|Eleven note note chromatic scale]] [[xenharmonic/stacks19|Nineteen note note mega chromatic scale]] =Tutone= Subgroup: 2.9.5.7.11 Commas: 81/80, 99/98, 126/125 Related temperament: [[xenharmonic/Meantone family|meantone]] POTE generator: ~9/8 = 193.937 [[Gencom]]: Gencom map: Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|] EDOs: 25, 31, 68b, 99b Error: 7.047 cents [[xenharmonic/tutone6|Six note haplotonic scale]] [[xenharmonic/tutone7|Seven note albitonic scale]] [[xenharmonic/tutone13|Thirteen note chromatic scale]] [[image:tutone_99edo.png]] =Leantone= Subgroup: 2.9.5.7.11 Commas: 45/44, 56/55, 81/80 Related temperament: [[meanenneadecal]] POTE generator: ~9/8 = 192.500 [[Gencom]]: Gencom map: Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|] EDOs: 6, 7, 13, 19, 25, 31, 56, 81 Error: 20.338 cents [[image:leantone_81edo.png]] [[xenharmonic/leantone6|Six note haplotonic scale]] [[xenharmonic/leantone7|Seven note albitonic scale]] [[xenharmonic/leantone13|Thirteen note chromatic scale]] =Score= Subgroup: 2.7.11.13 Commas: 343/338, 847/832 POTE generator: ~11/8 = 540.099 [[Gencom]]: Gencom map: Map: [<1 1 3 1|, <0 4 1 6|] EDOs: 5, 7, 9, 11, 20 Error: 8.052 cents [[image:xenharmonic/score_20edo.jpg]] [[xenharmonic/score5|Five note haplotonic scale]] [[xenharmonic/score7|Seven note albitonic scale]] [[xenharmonic/score9|Nine note mega albitonic scale]] [[xenharmonic/score11|Eleven note chromatic scale]] =Supra= Subgroup: 2.3.7.11 Commas: 64/63, 99/98 Related temperament: [[xenharmonic/suprapyth|suprapyth]] POTE generator: ~3/2 = 707.192 [[Gencom]]: Gencom map: Map: [<1 0 6 13|, <0 1 -2 -6|] EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c Error: 9.795 cents [[image:supra_56edo.png]] [[xenharmonic/supra7|Seven note albitonic scale]] [[xenharmonic/supra12|Twelve note chromatic scale]] ==Supraphon== Subgroup: 2.3.7.11.13 Commas: 64/63, 78/77, 99/98 POTE generator: ~3/2 = 706.137 [[Gencom]]: Gencom map: Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|] EDOs: 5, 7, 12, 17 Error: 10.534 cents ==Machine== Subgroup: 2.9.7.11 Commas: 64/63, 99/98 POTE generator: ~9/8 = 214.384 [[Gencom]]: Gencom map: Map: [<1 0 6 13|, <0 1 -1 -3|] EDOs: 5, 6, 11, 17, 28 Error: 10.100 cents [[image:machine_28edo.png]] [[xenharmonic/machine5|Five note haplotonic scale]] [[xenharmonic/machine6|Six note albitonic scale]] [[xenharmonic/machine11|Eleven note chromatic scale]] =Antikythera= Subgroup: 2.9.5.7 Commas: 50/49, 64/63 Related temperament: [[xenharmonic/pajara|pajara]] POTE generator: ~8/7 = 214.095 [[Gencom]]: Gencom map: Map: [<2 0 11 12|, <0 1 -1 -1|] EDOS: 4, 6, 10, 16, 22, 28 Error: 11.508 cents [[image:antikythera_28edo.png]] [[xenharmonic/antikythera6|Six note haplotonic scale]] [[xenharmonic/antikythera10|Ten note albitonic scale]] [[xenharmonic/antikythera16|Sixteen note chromatic scale]] =Deutone= Subgroup: 2.9.5.7.13 Commas: 65/64, 81/80, 91/90 Related temperament: [[xenharmonic/Meantone family|meanpop]] POTE generator: ~9/8 = 191.059 [[Gencom]]: Gencom map: Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|] EDOs: 6, 7, 13, 19, 25, 44, 69 Error: 12.145 cents [[image:deutone_44edo.png]] [[xenharmonic/deutone6|Six note haplotonic scale]] [[xenharmonic/deutone7|seven note albitonic scale]] [[xenharmonic/deutone13|Thirteen note chromatic scale]] =Semaphore= Subgroup: 2.3.7 Comma: 49/48 POTE generator: ~7/6 = 250.385 [[Gencom]]: Gencom map: Map: [<1 0 2|, <0 2 1|] EDOs: 5, 9, 14, 19, 24 Error: 12.428 [[image:semaphore_24edo.png]] [[xenharmonic/semiphore5|Five note haplotonic scale]] [[xenharmonic/semiphore9|Nine note albitonic scale]] [[xenharmonic/semiphore14|Fourteen note chromatic scale]] =Augment= Subgroup: 2.5.7.11 Commas: 56/55, 128/125 Related temperament: [[xenharmonic/Augmented family|augmented]] POTE generator: ~8/7 = 228.275 [[Gencom]]: Gencom map: Map: [<3 7 0 2|, <0 0 1 1|] EDOs: 3, 6, 9, 15, 21 Error: 12.830 cents [[image:augment_21edo.png]] [[xenharmonic/augment6|Six note haplotonic scale]] [[xenharmonic/augment9|Nine note albitonic scale]] [[xenharmonic/augment12|Twelve note chromatic scale]]
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<html><head><title>Chromatic pairs</title></head><body><!-- ws:start:WikiTextTocRule:123:<img id="wikitext@@toc@@flat" class="WikiMedia WikiMediaTocFlat" title="Table of Contents" src="/site/embedthumbnail/toc/flat?w=100&h=16"/> --><!-- ws:end:WikiTextTocRule:123 --><!-- ws:start:WikiTextTocRule:124: --><a href="#Definitions">Definitions</a><!-- ws:end:WikiTextTocRule:124 --><!-- ws:start:WikiTextTocRule:125: --> | <a href="#Terrain">Terrain</a><!-- ws:end:WikiTextTocRule:125 --><!-- ws:start:WikiTextTocRule:126: --> | <a href="#Petrtri">Petrtri</a><!-- ws:end:WikiTextTocRule:126 --><!-- ws:start:WikiTextTocRule:127: --> | <a href="#Orgone">Orgone</a><!-- ws:end:WikiTextTocRule:127 --><!-- ws:start:WikiTextTocRule:128: --> | <a href="#Bridgetown">Bridgetown</a><!-- ws:end:WikiTextTocRule:128 --><!-- ws:start:WikiTextTocRule:129: --><!-- ws:end:WikiTextTocRule:129 --><!-- ws:start:WikiTextTocRule:130: --> | <a href="#Cata">Cata</a><!-- ws:end:WikiTextTocRule:130 --><!-- ws:start:WikiTextTocRule:131: --> | <a href="#Neutraltet">Neutraltet</a><!-- ws:end:WikiTextTocRule:131 --><!-- ws:start:WikiTextTocRule:132: --> | <a href="#Tridec">Tridec</a><!-- ws:end:WikiTextTocRule:132 --><!-- ws:start:WikiTextTocRule:133: --> | <a href="#Pepperoni">Pepperoni</a><!-- ws:end:WikiTextTocRule:133 --><!-- ws:start:WikiTextTocRule:134: --> | <a href="#Slendric">Slendric</a><!-- ws:end:WikiTextTocRule:134 --><!-- ws:start:WikiTextTocRule:135: --><!-- ws:end:WikiTextTocRule:135 --><!-- ws:start:WikiTextTocRule:136: --> | <a href="#Marveltwintri">Marveltwintri</a><!-- ws:end:WikiTextTocRule:136 --><!-- ws:start:WikiTextTocRule:137: --> | <a href="#Nestoria">Nestoria</a><!-- ws:end:WikiTextTocRule:137 --><!-- ws:start:WikiTextTocRule:138: --> | <a href="#Marveltri">Marveltri</a><!-- ws:end:WikiTextTocRule:138 --><!-- ws:start:WikiTextTocRule:139: --> | <a href="#Penta">Penta</a><!-- ws:end:WikiTextTocRule:139 --><!-- ws:start:WikiTextTocRule:140: --> | <a href="#Guanyintet">Guanyintet</a><!-- ws:end:WikiTextTocRule:140 --><!-- ws:start:WikiTextTocRule:141: --> | <a href="#Photia">Photia</a><!-- ws:end:WikiTextTocRule:141 --><!-- ws:start:WikiTextTocRule:142: --> | <a href="#Huntington">Huntington</a><!-- ws:end:WikiTextTocRule:142 --><!-- ws:start:WikiTextTocRule:143: --> | <a href="#Shoe">Shoe</a><!-- ws:end:WikiTextTocRule:143 --><!-- ws:start:WikiTextTocRule:144: --> | <a href="#Roulette">Roulette</a><!-- ws:end:WikiTextTocRule:144 --><!-- ws:start:WikiTextTocRule:145: --> | <a href="#Garibaldi">Garibaldi</a><!-- ws:end:WikiTextTocRule:145 --><!-- ws:start:WikiTextTocRule:146: --> | <a href="#Baldy">Baldy</a><!-- ws:end:WikiTextTocRule:146 --><!-- ws:start:WikiTextTocRule:147: --> | <a href="#Bossier">Bossier</a><!-- ws:end:WikiTextTocRule:147 --><!-- ws:start:WikiTextTocRule:148: --> | <a href="#Radon">Radon</a><!-- ws:end:WikiTextTocRule:148 --><!-- ws:start:WikiTextTocRule:149: --> | <a href="#Myna">Myna</a><!-- ws:end:WikiTextTocRule:149 --><!-- ws:start:WikiTextTocRule:150: --> | <a href="#Silver">Silver</a><!-- ws:end:WikiTextTocRule:150 --><!-- ws:start:WikiTextTocRule:151: --> | <a href="#Mabila">Mabila</a><!-- ws:end:WikiTextTocRule:151 --><!-- ws:start:WikiTextTocRule:152: --> | <a href="#Meantone">Meantone</a><!-- ws:end:WikiTextTocRule:152 --><!-- ws:start:WikiTextTocRule:153: --> | <a href="#Starlingtet">Starlingtet</a><!-- ws:end:WikiTextTocRule:153 --><!-- ws:start:WikiTextTocRule:154: --> | <a href="#Indium">Indium</a><!-- ws:end:WikiTextTocRule:154 --><!-- ws:start:WikiTextTocRule:155: --><!-- ws:end:WikiTextTocRule:155 --><!-- ws:start:WikiTextTocRule:156: --> | <a href="#Magic">Magic</a><!-- ws:end:WikiTextTocRule:156 --><!-- ws:start:WikiTextTocRule:157: --><!-- ws:end:WikiTextTocRule:157 --><!-- ws:start:WikiTextTocRule:158: --> | <a href="#Gariberttet">Gariberttet</a><!-- ws:end:WikiTextTocRule:158 --><!-- ws:start:WikiTextTocRule:159: --> | <a href="#Hemif">Hemif</a><!-- ws:end:WikiTextTocRule:159 --><!-- ws:start:WikiTextTocRule:160: --> | <a href="#Skwares">Skwares</a><!-- ws:end:WikiTextTocRule:160 --><!-- ws:start:WikiTextTocRule:161: --> | <a href="#Sensi">Sensi</a><!-- ws:end:WikiTextTocRule:161 --><!-- ws:start:WikiTextTocRule:162: --> | <a href="#Greeley">Greeley</a><!-- ws:end:WikiTextTocRule:162 --><!-- ws:start:WikiTextTocRule:163: --><!-- ws:end:WikiTextTocRule:163 --><!-- ws:start:WikiTextTocRule:164: --> | <a href="#Semidim">Semidim</a><!-- ws:end:WikiTextTocRule:164 --><!-- ws:start:WikiTextTocRule:165: --> | <a href="#Orwell">Orwell</a><!-- ws:end:WikiTextTocRule:165 --><!-- ws:start:WikiTextTocRule:166: --> | <a href="#Magicaltet">Magicaltet</a><!-- ws:end:WikiTextTocRule:166 --><!-- ws:start:WikiTextTocRule:167: --> | <a href="#Sentry">Sentry</a><!-- ws:end:WikiTextTocRule:167 --><!-- ws:start:WikiTextTocRule:168: --> | <a href="#Mothwelltri">Mothwelltri</a><!-- ws:end:WikiTextTocRule:168 --><!-- ws:start:WikiTextTocRule:169: --> | <a href="#Lovecraft">Lovecraft</a><!-- ws:end:WikiTextTocRule:169 --><!-- ws:start:WikiTextTocRule:170: --> | <a href="#Bleu">Bleu</a><!-- ws:end:WikiTextTocRule:170 --><!-- ws:start:WikiTextTocRule:171: --> | <a href="#Mohaha">Mohaha</a><!-- ws:end:WikiTextTocRule:171 --><!-- ws:start:WikiTextTocRule:172: --><!-- ws:end:WikiTextTocRule:172 --><!-- ws:start:WikiTextTocRule:173: --><!-- ws:end:WikiTextTocRule:173 --><!-- ws:start:WikiTextTocRule:174: --> | <a href="#Stacks">Stacks</a><!-- ws:end:WikiTextTocRule:174 --><!-- ws:start:WikiTextTocRule:175: --> | <a href="#Tutone">Tutone</a><!-- ws:end:WikiTextTocRule:175 --><!-- ws:start:WikiTextTocRule:176: --> | <a href="#Leantone">Leantone</a><!-- ws:end:WikiTextTocRule:176 --><!-- ws:start:WikiTextTocRule:177: --> | <a href="#Score">Score</a><!-- ws:end:WikiTextTocRule:177 --><!-- ws:start:WikiTextTocRule:178: --> | <a href="#Supra">Supra</a><!-- ws:end:WikiTextTocRule:178 --><!-- ws:start:WikiTextTocRule:179: --><!-- ws:end:WikiTextTocRule:179 --><!-- ws:start:WikiTextTocRule:180: --><!-- ws:end:WikiTextTocRule:180 --><!-- ws:start:WikiTextTocRule:181: --> | <a href="#Antikythera">Antikythera</a><!-- ws:end:WikiTextTocRule:181 --><!-- ws:start:WikiTextTocRule:182: --> | <a href="#Deutone">Deutone</a><!-- ws:end:WikiTextTocRule:182 --><!-- ws:start:WikiTextTocRule:183: --> | <a href="#Semaphore">Semaphore</a><!-- ws:end:WikiTextTocRule:183 --><!-- ws:start:WikiTextTocRule:184: --> | <a href="#Augment">Augment</a><!-- ws:end:WikiTextTocRule:184 --><!-- ws:start:WikiTextTocRule:185: --> <!-- ws:end:WikiTextTocRule:185 --><!-- ws:start:WikiTextMediaRule:0:<img src="http://www.wikispaces.com/site/embedthumbnail/custom/11052942?h=0&w=0" class="WikiMedia WikiMediaCustom" id="wikitext@@media@@type=&quot;custom&quot; key=&quot;11052942&quot;" title="Custom Media"/> --><script type="text/javascript" src="http://mediaplayer.yahoo.com/js"> </script><!-- ws:end:WikiTextMediaRule:0 --><br /> <hr /> <br /> <!-- ws:start:WikiTextHeadingRule:1:<h1> --><h1 id="toc0"><a name="Definitions"></a><!-- ws:end:WikiTextHeadingRule:1 -->Definitions</h1> By a <em>chromatic pair</em> is meant a pair of <a class="wiki_link" href="http://xenharmonic.wikispaces.com/MOSScales">MOS</a> in some rank two temperament (which may often be a <a class="wiki_link" href="http://xenharmonic.wikispaces.com/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". Also included at times are "haplotonic" scales, which are the analogs of Meantone[5]. The pair temperaments are listed in order of increasing unweighted rms error with <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Target%20tunings">tuning target</a> the ratios between subgroup generators; this gives a measure more reflective of the errors than Tenney-Euclidean error will give.<br /> <br /> <!-- ws:start:WikiTextHeadingRule:3:<h1> --><h1 id="toc1"><a name="Terrain"></a><!-- ws:end:WikiTextHeadingRule:3 -->Terrain</h1> Subgroup: 2.9/5.9/7<br /> Commas: 250047/250000<br /> Sval name: 6&21<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Minortonic%20family#Domain">domain</a><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/POTE%20generator">POTE generator</a>: ~10/9 = 182.462<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [63/50 10/9; 250047/250000]<br /> Gencom map: [<3 10/9 -7/9 2/9|, <0 -2/3 -1/3 2/3|]<br /> <br /> Map: [<3 0 -4|, <0 1 2|]<br /> EDOs: 6, 21, 27, 33, 105, 138, 171, 1848, 2019, 2190, 2361, 2532, 2703, 2874, 3045, 3216, 3387, 3558<br /> Error: 0.0443 cents<br /> <br /> Terrain is a remarkable temperament, in that while its complexity is low, it has no discernible error. The 1-7/5-9/5 and 1-9/7-9/5 chords are characteristic.<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:187:<img src="/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png" alt="" title="" /> --><img src="/file/view/terrain_3558edo.png/284858244/terrain_3558edo.png" alt="terrain_3558edo.png" title="terrain_3558edo.png" /><!-- ws:end:WikiTextLocalImageRule:187 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain9">Nine note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/terrain15">Fifteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:5:<h1> --><h1 id="toc2"><a name="Petrtri"></a><!-- ws:end:WikiTextHeadingRule:5 -->Petrtri</h1> Subgroup: 2.11/5.13/5<br /> Comma: 2200/2197<br /> Svalname: 3&5<br /> <br /> POTE generator: ~13/10 = 455.062<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 2200/2197]<br /> Gencom map: [<1 0 -1/3 0 -1/3 2/3|, <0 0 -4/3 0 5/3 -1/3|]<br /> <br /> Map: [<1 0 1|, <0 3 1|]<br /> EDOs: 21, 29, 211, 240, 269, 298, 327, 356, 385, 741c, 1126c<br /> Error: 0.6258 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:188:<img src="/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png" alt="" title="" /> --><img src="/file/view/petrtri_385edo.png/284586314/petrtri_385edo.png" alt="petrtri_385edo.png" title="petrtri_385edo.png" /><!-- ws:end:WikiTextLocalImageRule:188 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri8">Eight note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/petrtri13">Thirteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:7:<h1> --><h1 id="toc3"><a name="Orgone"></a><!-- ws:end:WikiTextHeadingRule:7 -->Orgone</h1> Subgroup: 2.7.11<br /> Commas: 65536/65219<br /> Svals: 4&7<br /> Related temperament: <a class="wiki_link" href="/Gamelismic%20clan#superkleismic">superkleismic</a><br /> POTE generator: ~77/64 = 323.372<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 77/64; 65536/65219]<br /> Gencom map: [<1 0 0 2 4|, <0 0 0 3 -2|]<br /> <br /> Map: [<1 2 4|, <0 3 -2|]<br /> EDOs: 4, 7, 11, 15, 26, 89, 115, 141, 167, 308<br /> Error: 0.7313<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:189:<img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="" title="" /> --><img src="/file/view/orgone_308edo.jpg/270849182/orgone_308edo.jpg" alt="orgone_308edo.jpg" title="orgone_308edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:189 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone11">Eleven note chromatic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orgone15">Fifteen note mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:9:<h1> --><h1 id="toc4"><a name="Bridgetown"></a><!-- ws:end:WikiTextHeadingRule:9 -->Bridgetown</h1> Subgroup: 2.3.11/5.13/5<br /> Commas: 352/351, 676/675<br /> Sval name: 5&24<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/The%20Archipelago">barabados</a><br /> <br /> POTE generator: ~15/13 = 248.285<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 15/13; 352/351 676/675]<br /> Gencom map: [<1 2 -5/3 0 4/3 1/3|, <0 -2 4 0 -5 1|]<br /> <br /> Map: [<1 0 -6 -1|, <0 2 9 3|]<br /> EDOs: 5, 9, 14, 19, 24, 29<br /> Error: 0.8996 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:190:<img src="/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png" alt="" title="" /> --><img src="/file/view/bridgetown_29edo.png/284859430/bridgetown_29edo.png" alt="bridgetown_29edo.png" title="bridgetown_29edo.png" /><!-- ws:end:WikiTextLocalImageRule:190 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown9">Nine note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bridgetown14">Fourteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:11:<h2> --><h2 id="toc5"><a name="Bridgetown-Music"></a><!-- ws:end:WikiTextHeadingRule:11 -->Music</h2> <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"><em><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/Others/Igs/Paint%20in%20the%20Water%2029.mp3" rel="nofollow">Paint in the Water 29</a></em></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Igliashon%20Jones">Igliashon Jones</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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-bridgetown-14.mp3" rel="nofollow">Route 14 in Bridgetown</a></em></span></span> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:13:<h1> --><h1 id="toc6"><a name="Cata"></a><!-- ws:end:WikiTextHeadingRule:13 -->Cata</h1> Subgroup: 2.3.5.13<br /> Commas: 325/324, 625/624<br /> Sval name: 15&19<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Kleismic%20family">catakleismic</a><br /> <br /> POTE generator: ~6/5 = 317.076<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 325/324 625/624]<br /> Gencom map: [<1 0 1 0 0 0|, <0 6 5 0 0 14|]<br /> <br /> Map: [<1 0 1 0|, <0 6 5 14|]<br /> EDOs: 7, 11, 15, 19, 34, 53, 140, 193, 246, 1177cd<br /> Error: 0.9355 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:191:<img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="" title="" /> --><img src="http://xenharmonic.wikispaces.com/file/view/cata_246edo2.jpg/270809448/cata_246edo2.jpg" alt="cata_246edo2.jpg" title="cata_246edo2.jpg" /><!-- ws:end:WikiTextLocalImageRule:191 --><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata11">Eleven note mega albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata15">Fifteen note chromatic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/cata19">Nineteen note mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:15:<h1> --><h1 id="toc7"><a name="Neutraltet"></a><!-- ws:end:WikiTextHeadingRule:15 -->Neutraltet</h1> Subgroup: 2.3.11<br /> Commas: 243/242<br /> Svalname: 7&17<br /> <br /> POTE generator: ~11/9 = 350.525<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 11/9; 243/242]<br /> Gencom map: [<1 1 0 0 2|, <0 2 0 0 5|]<br /> <br /> Map: [<1 1 2|, <0 2 5|]<br /> EDOs: 7, 17, 24, 65, 89, 202, 291, 380<br /> Error: 1.007<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:192:<img src="/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png" alt="" title="" /> --><img src="/file/view/neutraltet_380edo.png/284587504/neutraltet_380edo.png" alt="neutraltet_380edo.png" title="neutraltet_380edo.png" /><!-- ws:end:WikiTextLocalImageRule:192 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet10">Ten note chromatic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/neutraltet17">Seventeen note mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:17:<h1> --><h1 id="toc8"><a name="Tridec"></a><!-- ws:end:WikiTextHeadingRule:17 -->Tridec</h1> Subgroup: 2.7/5.11/5.13/5<br /> Commas: 847/845, 1001/1000<br /> Sval name: 5&8<br /> <br /> POTE generator: ~13/10 = 454.461<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 13/10; 847/845 1001/1000]<br /> Gencom map: [<1 0 -3/4 5/4 -3/4 1/4|, <0 0 0 -4 3 1|]<br /> <br /> Map: [<1 2 0 1|, <0 -4 3 1|]<br /> EDOs: 5, 8, 21, 29, 37, 66, 169, 235, 404c, 639c<br /> Error: 1.057<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:193:<img src="/file/view/tridec_235edo.png/284860428/tridec_235edo.png" alt="" title="" /> --><img src="/file/view/tridec_235edo.png/284860428/tridec_235edo.png" alt="tridec_235edo.png" title="tridec_235edo.png" /><!-- ws:end:WikiTextLocalImageRule:193 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec8">Eight note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Tridec13">Thirteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:19:<h1> --><h1 id="toc9"><a name="Pepperoni"></a><!-- ws:end:WikiTextHeadingRule:19 -->Pepperoni</h1> Subgroup: 2.3.11/7.13/7<br /> Commas: 352/351, 364/363<br /> Sval name: 5&12<br /> Related temperament: The <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Peppermint-24">Pepper fifth</a>, which is (40200 + 600 sqrt(5))/59 = 704.096 cents, is a good pepperoni generator, hence the name.<br /> <br /> POTE generator: ~3/2 = 704.052<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 352/351 364/363]<br /> Gencom map: [<1 1 0 -8/3 1/3 7/3|, <0 1 0 11/3 -1/3 -10/3|]<br /> <br /> Map: [<1 0 7 12|, <0 1 -4 -7|]<br /> EDOs: 5, 7, 12, 17, 29, 46, 75, 196, 271<br /> Error: 1.298 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:194:<img src="/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png" alt="" title="" /> --><img src="/file/view/pepperoni_271edo.png/284861296/pepperoni_271edo.png" alt="pepperoni_271edo.png" title="pepperoni_271edo.png" /><!-- ws:end:WikiTextLocalImageRule:194 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pepperoni12">Twelve note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:21:<h1> --><h1 id="toc10"><a name="Slendric"></a><!-- ws:end:WikiTextHeadingRule:21 -->Slendric</h1> Subgroup: 2.3.7<br /> Comma: 1029/1024<br /> Sval name: 5&21<br /> <br /> POTE generator: ~8/7 = 233.688<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 8/7; 1029/1024]<br /> Gencom map: [<1 1 0 3|, <0 3 0 -1|]<br /> <br /> Map: [<1 1 3|, <0 3 -1|]<br /> EDOs: 5, 6, 11, 16, 21, 26, 31, 36, 41, 77, 113, 190<br /> Error: 1.109 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:195:<img src="http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="" title="" /> --><img src="http://xenharmonic.wikispaces.com/file/view/slendric_190edo.jpg/270813524/slendric_190edo.jpg" alt="slendric_190edo.jpg" title="slendric_190edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:195 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric6">Six note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric11">Eleven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/slendric16">Sixteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:23:<h2> --><h2 id="toc11"><a name="Slendric-Music"></a><!-- ws:end:WikiTextHeadingRule:23 -->Music</h2> <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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-the-11th-slendric-fanfare.mp3" rel="nofollow">The 11th Slendric Fanfare</a></em></span></span><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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111026-16-slendric-virgins.mp3" rel="nofollow">16 Slendric Virgins</a></em></span></span><br /> by <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Chris%20Vaisvil">Chris Vaisvil</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:25:<h1> --><h1 id="toc12"><a name="Marveltwintri"></a><!-- ws:end:WikiTextHeadingRule:25 -->Marveltwintri</h1> Subgroup: 2.5/3.13/9<br /> Comma: 325/324<br /> Svalname: 3&4<br /> <br /> POTE generator: ~6/5 = 317.755<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 6/5; 325/324]<br /> Gencom map: [<1 -1/6 5/6 0 0 -1/3|, <0 -1/2 -3/2 0 0 1|]<br /> <br /> Map: [<1 0 2|, <0 1 -2|]<br /> EDOs: 11, 15, 19, 34, 185, 219, 253, 287b, 321b<br /> Error: 1.413 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:196:<img src="/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png" alt="" title="" /> --><img src="/file/view/marveltwintri_321edo.png/284588650/marveltwintri_321edo.png" alt="marveltwintri_321edo.png" title="marveltwintri_321edo.png" /><!-- ws:end:WikiTextLocalImageRule:196 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri11">Eleven note chromatic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltwintri15">Fifteen note mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:27:<h1> --><h1 id="toc13"><a name="Nestoria"></a><!-- ws:end:WikiTextHeadingRule:27 -->Nestoria</h1> Subgroup: 2.3.5.19<br /> Commas: 361/360, 513/512<br /> Sval name: 12&29<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br /> <br /> POTE generator: ~3/2 = 701.746<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 3/2; 361/360 513/512]<br /> Gencom map: [<1 1 7 0 0 0 0 6|, <0 1 -8 0 0 0 0 -3|]<br /> <br /> Map: [<1 0 15 9|, <0 1 -8 -3|]<br /> EDOs: 7, 12, 17, 29, 41, 53, 118, 171<br /> Error: 1.819 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:197:<img src="/file/view/nestoria_171edo.png/284862598/nestoria_171edo.png" alt="" title="" /> --><img src="/file/view/nestoria_171edo.png/284862598/nestoria_171edo.png" alt="nestoria_171edo.png" title="nestoria_171edo.png" /><!-- ws:end:WikiTextLocalImageRule:197 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria12">Twelve note chromatic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/nestoria17">Seventeen note mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:29:<h1> --><h1 id="toc14"><a name="Marveltri"></a><!-- ws:end:WikiTextHeadingRule:29 -->Marveltri</h1> Subgroup: 2.5.9/7<br /> Comma: 225/224<br /> Sval name: 3&13<br /> Related temperaments: marvel, 22&47, magic<br /> <br /> POTE generator: ~5/4 = 382.618<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>: [2 5/4; 225/224]<br /> Gencom map: [<1 2/5 2 -1/5|, <0 -4/5 1 2/5|]<br /> <br /> Map: [<1 0 5|, <0 1 -2|]<br /> EDOs: 12, 13, 16, 19, 22, 47, 69<br /> Error: 2.043 cents<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/marveltri10">Ten note chromatic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/marveltri13">Thirteen note mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:31:<h1> --><h1 id="toc15"><a name="Penta"></a><!-- ws:end:WikiTextHeadingRule:31 -->Penta</h1> Subgroup: 2.9.7.11<br /> Commas: 896/891, 26411/26244<br /> Svalname: 8&11<br /> <br /> POTE generator: ~9/7 = 438.465<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 -1 6|, <0 5 6 -4|]<br /> EDOs: 8, 11, 30, 41, 52<br /> Error: 2.260<br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta9">Nine note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta13">Thirteen chromatic note scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/penta17">Seventeen note mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:33:<h1> --><h1 id="toc16"><a name="Guanyintet"></a><!-- ws:end:WikiTextHeadingRule:33 -->Guanyintet</h1> Subgroup: 2.5.7/3.11/3<br /> Commas: 176/175, 540/539<br /> Svalname: 4&9<br /> Related temperaments: guanyin, orwell<br /> <br /> POTE generator: ~7/6 = 269.619<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 2 -2|, <0 3 -1 5|]<br /> EDOs: 9, 31, 40, 49, 89, 227bc, 316bcd<br /> Error: 2.533 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:35:<h1> --><h1 id="toc17"><a name="Photia"></a><!-- ws:end:WikiTextHeadingRule:35 -->Photia</h1> Subgroup: 2.3.5.17.19<br /> Commas: 171/170, 256/255, 324/323<br /> Sval name: 12&41<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">schismatic</a><br /> <br /> POTE generator: ~3/2 = 701.470<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 15 -7 9|, <0 1 -8 7 -3|]<br /> EDOs: 7, 12, 17, 29, 41, 53, 65<br /> Error: 3.457 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:198:<img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="" title="" /> --><img src="/file/view/photia_65edo.png/284863542/photia_65edo.png" alt="photia_65edo.png" title="photia_65edo.png" /><!-- ws:end:WikiTextLocalImageRule:198 --><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:37:<h1> --><h1 id="toc18"><a name="Huntington"></a><!-- ws:end:WikiTextHeadingRule:37 -->Huntington</h1> Subgroup: 2.5.7.13<br /> Commas: 640/637, 10985/10976<br /> Sval name: 10&27<br /> <br /> POTE generator: ~16/13 = 357.002<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 5 4 4|, <0 -9 -4 -1|]<br /> EDOs: 7, 10, 17, 27, 37, 84, 121, 400<br /> Error: 2.1001 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:199:<img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="" title="" /> --><img src="/file/view/huntington_400edo.jpg/271195682/huntington_400edo.jpg" alt="huntington_400edo.jpg" title="huntington_400edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:199 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington7">Seven note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington10">Ten note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/huntington17">Seventeen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:39:<h1> --><h1 id="toc19"><a name="Shoe"></a><!-- ws:end:WikiTextHeadingRule:39 -->Shoe</h1> Subgroup: 2.5.7.11.13<br /> Commas: 176/175, 640/637, 847/845<br /> Sval name: 16&21<br /> <br /> POTE generator: ~8/7 = 227.108<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 1 3 1 2|, <0 7 -1 13 9|]<br /> EDOs: 16, 21, 37<br /> Error: 2.488<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:200:<img src="http://xenharmonic.wikispaces.com/file/view/shoe_37edo.jpg/270828948/shoe_37edo.jpg" alt="" title="" /> --><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:200 --><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/shoe6">shoe6</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/shoe11">shoe11</a> - eleven note 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/shoe16">shoe16</a> - sixteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:41:<h1> --><h1 id="toc20"><a name="Roulette"></a><!-- ws:end:WikiTextHeadingRule:41 -->Roulette</h1> Subgroup: 2.5.7.11.13<br /> Commas: 176/175, 1375/1372, 640/637<br /> Sval name: 6&25<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family">Hemiwürschmidt</a><br /> <br /> POTE generator: ~28/25 = 194.594<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 -3 -7 13|, <0 2 5 9 -8|]<br /> EDOs: 6, 7, 13, 19, 25, 31, 37<br /> Error: 2.555 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:201:<img src="http://xenharmonic.wikispaces.com/file/view/roulette_37edo.jpg/270817184/roulette_37edo.jpg" alt="" title="" /> --><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:201 --><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/roulette7">roulette7</a> - seven 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/roulette13">roulette13</a> - thirteen 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/roulette19">roulette19</a> - nineteen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mega%20chromatic%20scale">mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:43:<h1> --><h1 id="toc21"><a name="Garibaldi"></a><!-- ws:end:WikiTextHeadingRule:43 -->Garibaldi</h1> Group: 2.3.5.7<br /> Commas: 225/224, 3125/3087<br /> Val name: 12&29<br /> <br /> POTE generator: ~3/2 = 702.085<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 15 25|, <0 1 -8 -14|]<br /> EDOs: 7, 12, 17, 29, 41, 53, 94<br /> Error: 2.834<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:202:<img src="/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png" alt="" title="" /> --><img src="/file/view/garibaldi_94edo.png/284865722/garibaldi_94edo.png" alt="garibaldi_94edo.png" title="garibaldi_94edo.png" /><!-- ws:end:WikiTextLocalImageRule:202 --><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 /> <br /> <!-- ws:start:WikiTextHeadingRule:45:<h1> --><h1 id="toc22"><a name="Baldy"></a><!-- ws:end:WikiTextHeadingRule:45 -->Baldy</h1> Subgroup: 2.9.5.7.13<br /> Commas: 225/224, 325/324, 640/637<br /> Sval name: 6&35<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Schismatic%20family">Garibaldi</a><br /> <br /> POTE generator: ~9/8 = 204.090<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 15 25 -28|, <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><br /> Error: 2.617 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:203:<img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="" title="" /> --><img src="/file/view/baldy_147edo.jpg/271199372/baldy_147edo.jpg" alt="baldy_147edo.jpg" title="baldy_147edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:203 --><br /> <br /> <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:47:<h1> --><h1 id="toc23"><a name="Bossier"></a><!-- ws:end:WikiTextHeadingRule:47 -->Bossier</h1> Subgroup: 2.7.11.13<br /> Commas: 1573/1568, 15488/15379<br /> Sval name: 3&17<br /> <br /> POTE generator: ~14/11 = 421.309<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 1 3|, <0 8 7 2|]<br /> EDOs: 17, 20, 37, 57, 94, 225<br /> Error: 2.665 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:204:<img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="" title="" /> --><img src="/file/view/bossier_225edo.jpg/271202010/bossier_225edo.jpg" alt="bossier_225edo.jpg" title="bossier_225edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:204 --><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:49:<h1> --><h1 id="toc24"><a name="Radon"></a><!-- ws:end:WikiTextHeadingRule:49 -->Radon</h1> Subgroup: 2.3.7.11<br /> Commas: 896/891, 1029/1024<br /> Sval name: 5&36<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Gamelismic%20clan">Rodan</a><br /> <br /> POTE generator: ~8/7 = 234.381<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 1 3 6|, <0 3 -1 -13|]<br /> EDOs: 5, 36, 41, 87, 128<br /> Error: 2.925 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:205:<img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="" title="" /> --><img src="/file/view/radon_128edo.jpg/271207646/radon_128edo.jpg" alt="radon_128edo.jpg" title="radon_128edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:205 --><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/radon11">Eleven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/radon16">Sixteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:51:<h1> --><h1 id="toc25"><a name="Myna"></a><!-- ws:end:WikiTextHeadingRule:51 -->Myna</h1> Group: 2.3.5.7<br /> Commas: 126/125, 1728/1715<br /> Val name: 4&27<br /> <br /> POTE generator: ~6/5 = 310.146<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 9 9 8|, <0 -10 -9 -7|]<br /> EDOs: 4, 27, 31, 58, 89<br /> Error: 3.310 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:206:<img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="" title="" /> --><img src="/file/view/myna_89edo.jpg/271260474/myna_89edo.jpg" alt="myna_89edo.jpg" title="myna_89edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:206 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna7">Seven note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna11">Eleven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/myna15">Fifteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:53:<h1> --><h1 id="toc26"><a name="Silver"></a><!-- ws:end:WikiTextHeadingRule:53 -->Silver</h1> Subgroup: 2.5.7.13.17<br /> Commas: 170/169, 640/637, 5525/5488<br /> Sval name: 10&27<br /> <br /> POTE generator: ~13/8 = 842.711<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 5 4 4 2|, <0 -9 -4 -1 7|]<br /> EDOs: 7, 10, 17, 27, 37, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/47edo">47</a>, 84, 131, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/487edo">487</a><br /> Error: 3.437<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:207:<img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="" title="" /> --><img src="/file/view/silver_487edo.jpg/271264440/silver_487edo.jpg" alt="silver_487edo.jpg" title="silver_487edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:207 --><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 /> <!-- ws:start:WikiTextHeadingRule:55:<h1> --><h1 id="toc27"><a name="Mabila"></a><!-- ws:end:WikiTextHeadingRule:55 -->Mabila</h1> Subgroup: 2.5.7<br /> Comma: 1071875/1048576<br /> Sval name: 7&9<br /> <br /> POTE generator: ~175/128 = 527.236<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 1 5|, <0 3 -5|]<br /> EDOs: 7, 9, 16, 25, 41, 66<br /> Error: 3.560<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:208:<img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="" title="" /> --><img src="/file/view/mabila_66edo.jpg/271267504/mabila_66edo.jpg" alt="mabila_66edo.jpg" title="mabila_66edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:208 --><br /> <br /> <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/mabila9">Nine note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mabila16">Sixteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:57:<h1> --><h1 id="toc28"><a name="Meantone"></a><!-- ws:end:WikiTextHeadingRule:57 -->Meantone</h1> Group: 2.3.5.7<br /> Commas: 81/80, 126/125<br /> Val name: 12&19<br /> <br /> POTE generator: 696.495<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 -4 -13|, <0 1 4 10|]<br /> EDOs: 5, 7, 12, 19, 31, 81, 112, 143<br /> Error: 3.585<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:209:<img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="" title="" /> --><img src="/file/view/meantone_31edo.jpg/272175716/meantone_31edo.jpg" alt="meantone_31edo.jpg" title="meantone_31edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:209 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/meantone12">Twelve note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:59:<h1> --><h1 id="toc29"><a name="Starlingtet"></a><!-- ws:end:WikiTextHeadingRule:59 -->Starlingtet</h1> Group: 2.5/3.7/3<br /> Comma: 126/125<br /> Svalname: 4&15<br /> Related temperaments: starling; becomes myna<br /> POTE generator: ~6/5 = 311.213<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 -1|, <0 1 3|]<br /> EDOs: 15, 19, 23, 27, 239b, 266b, 293b, 320b, 347b, 374b, 401b<br /> Error: 311.213<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 /> <br /> <!-- ws:start:WikiTextHeadingRule:61:<h1> --><h1 id="toc30"><a name="Indium"></a><!-- ws:end:WikiTextHeadingRule:61 -->Indium</h1> Subgroup: 2.5/3.7/3.11/3<br /> Commas: 3025/3024, 3125/3087<br /> Sval name: 8&33<br /> <br /> POTE generator: ~12/11 = 147.159<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 0 2|, <0 6 10 -1|]<br /> EDOs: 33, 41, 49, 57, 106, 204, 253<br /> Error: 3.968 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:210:<img src="/file/view/indium_253edo.png/284867050/indium_253edo.png" alt="" title="" /> --><img src="/file/view/indium_253edo.png/284867050/indium_253edo.png" alt="indium_253edo.png" title="indium_253edo.png" /><!-- ws:end:WikiTextLocalImageRule:210 --><br /> <br /> <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/indium17">Seventeen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:63:<h2> --><h2 id="toc31"><a name="Indium-Music"></a><!-- ws:end:WikiTextHeadingRule:63 -->Music</h2> <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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/chromatic_pairs/indium17/daily20111101-indium17.mp3" rel="nofollow">The Cry of Indium</a></em></span></span> (in Indium 17) by <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a> => <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1532" rel="nofollow" target="_blank">details</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:65:<h1> --><h1 id="toc32"><a name="Magic"></a><!-- ws:end:WikiTextHeadingRule:65 -->Magic</h1> Group: 2.3.5.7.11<br /> Commas: 100/99, 225/224, 245/243<br /> Val name: 19&22<br /> <br /> POTE generator: ~5/4 = 380.696<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 2 -1 6|, <0 5 1 12 -8|]<br /> EDOs: 19, 22, 41, 104, 145<br /> Error: 4.489<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:211:<img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="" title="" /> --><img src="http://xenharmonic.wikispaces.com/file/view/magic_145edo.jpg/270820174/magic_145edo.jpg" alt="magic_145edo.jpg" title="magic_145edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:211 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic7">Seven note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic10">Ten note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic13">Thirteen note chromatic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magic16">Sixteen note mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:67:<h2> --><h2 id="toc33"><a name="Magic-Music"></a><!-- ws:end:WikiTextHeadingRule:67 -->Music</h2> <span class="ywp-page-play-pause ywp-page-audio ywp-link-hover ywp-page-img-link"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/magic/daily20120113-piano-magic16-.mp3" rel="nofollow">Chromatic piece in magic 16</a></em></span> <a class="wiki_link_ext" href="http://www.chrisvaisvil.com/" rel="nofollow" target="_blank">Chris Vaisvil</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:69:<h1> --><h1 id="toc34"><a name="Gariberttet"></a><!-- ws:end:WikiTextHeadingRule:69 -->Gariberttet</h1> Subgroup: 2.5/3.7/3.13/11<br /> Commas: 275/273, 847/845<br /> Svalname: 4&29<br /> <br /> POTE generator: ~13/11 = 292.418<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 0 0|, <0 3 5 1|]<br /> EDOs: 29, 33, 37, 41, 78<br /> Error: 4.473<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 /> <!-- ws:start:WikiTextHeadingRule:71:<h1> --><h1 id="toc35"><a name="Hemif"></a><!-- ws:end:WikiTextHeadingRule:71 -->Hemif</h1> Subgroup: 2.3.7.11.13<br /> Commas: 144/143, 243/242, 364/363<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Breedsmic%20temperaments">Hemififths</a><br /> <br /> POTE generator: ~11/9 = 351.691<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 1 -1 2 4|, <0 2 13 5 -1|]<br /> EDOs: 7, 10, 17, 24, 41, 58<br /> Error: 4.867 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:212:<img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="" title="" /> --><img src="/file/view/hemif_58edo.jpg/272176886/hemif_58edo.jpg" alt="hemif_58edo.jpg" title="hemif_58edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:212 --><br /> <br /> <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 /> <!-- ws:start:WikiTextHeadingRule:73:<h1> --><h1 id="toc36"><a name="Skwares"></a><!-- ws:end:WikiTextHeadingRule:73 -->Skwares</h1> Subgroup: 2.3.7.11<br /> Commas: 99/98, 243/242<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">squares</a><br /> <br /> POTE generator: ~9/7 = 425.244<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 3 6 7|, <0 -4 -9 -10|]<br /> EDOs: 5, 8, 11, 14, 17, 31, 48, 79, 127, 206<br /> Error: 4.942 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:213:<img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="" title="" /> --><img src="/file/view/skwares_206edo.png/284589566/skwares_206edo.png" alt="skwares_206edo.png" title="skwares_206edo.png" /><!-- ws:end:WikiTextLocalImageRule:213 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares8">Eight note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares11">Eleven note mega albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/skwares14">Fourteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:75:<h1> --><h1 id="toc37"><a name="Sensi"></a><!-- ws:end:WikiTextHeadingRule:75 -->Sensi</h1> Group: 2.3.5.7<br /> Commas: 126/126, 245/243<br /> Val name: 19&27<br /> <br /> POTE generator: ~9/7 = 443.383<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 6 8 11|, <0 -7 -9 -13|]<br /> EDOs: 5, 8, 11, 19, 27, 46<br /> Error: 5.019<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:214:<img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="" title="" /> --><img src="http://xenharmonic.wikispaces.com/file/view/sensi_46edo.jpg/270823804/sensi_46edo.jpg" alt="sensi_46edo.jpg" title="sensi_46edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:214 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi8">Eight note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi11">Eleven note mega albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/sensi19">Nineteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:77:<h1> --><h1 id="toc38"><a name="Greeley"></a><!-- ws:end:WikiTextHeadingRule:77 -->Greeley</h1> Subgroup: 2.5/3.7/3.11/3<br /> Commas: 121/120, 126/125<br /> <br /> POTE generator: ~11/10 = 156.055<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 1 2 2|, <0 -2 -6 -1|]<br /> EDOs: 8, 15, 23, 77, 100<br /> Error: 5.404 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:215:<img src="/file/view/greeley_100edo.png/284867960/greeley_100edo.png" alt="" title="" /> --><img src="/file/view/greeley_100edo.png/284867960/greeley_100edo.png" alt="greeley_100edo.png" title="greeley_100edo.png" /><!-- ws:end:WikiTextLocalImageRule:215 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley8">Eight note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/greeley15">Fifteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:79:<h2> --><h2 id="toc39"><a name="Greeley-Music"></a><!-- ws:end:WikiTextHeadingRule:79 -->Music</h2> <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"><em><a class="wiki_link_ext" href="http://micro.soonlabel.com/tuning-survey/daily20111027-a-greely-steals-halloween.mp3" rel="nofollow">A Greeley Steals Halloween</a></em></span></span> by <a class="wiki_link_ext" href="http://chrisvaisvil.com/?p=1485" rel="nofollow" target="_blank">Chris Vaisvil</a> in Greeley 15<br /> <br /> <!-- ws:start:WikiTextHeadingRule:81:<h1> --><h1 id="toc40"><a name="Semidim"></a><!-- ws:end:WikiTextHeadingRule:81 -->Semidim</h1> Subgroup: 2.5/3.7/3.11/3.13/3<br /> Commas: 121/120, 169/168, 275/273<br /> Sval name: 8&29<br /> <br /> POTE generator: ~13/10 = 453.190<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 3 5 3 4|, <0 -6 -10 -3 -5|]<br /> EDOs: 5, 8, 13, 21, 29, 37, 45<br /> Error: 5.433 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:216:<img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="" title="" /> --><img src="/file/view/semidim_770edo.png/284868918/semidim_770edo.png" alt="semidim_770edo.png" title="semidim_770edo.png" /><!-- ws:end:WikiTextLocalImageRule:216 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim8">Eight note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semidim13">Thirteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:83:<h1> --><h1 id="toc41"><a name="Orwell"></a><!-- ws:end:WikiTextHeadingRule:83 -->Orwell</h1> Group: 2.3.5.7.11<br /> Commas: 99/98, 121/120, 176/175<br /> Val name: 9&22<br /> <br /> POTE generator: ~7/6 = 271.426<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 3 1 3|, <0 7 -3 8 2|]<br /> EDOs: 9, 22, 31, 53, 84<br /> Error: 5.584<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:217:<img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="" title="" /> --><img src="http://xenharmonic.wikispaces.com/file/view/orwell_84edo.png/279497768/orwell_84edo.png" alt="orwell_84edo.png" title="orwell_84edo.png" /><!-- ws:end:WikiTextLocalImageRule:217 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell9">Nine note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/orwell13">Thirteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:85:<h1> --><h1 id="toc42"><a name="Magicaltet"></a><!-- ws:end:WikiTextHeadingRule:85 -->Magicaltet</h1> Group: 2.5/3.7.11<br /> Commas: 100/99, 385/384<br /> Related temperaments: 4&7&15, magic<br /> <br /> POTE generator: ~6/5 = 319.424<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 5 2|, <0 1 -3 2|]<br /> EDOs: 11, 15, 79cd, 94cd, 109cd, 124cd, 139cd<br /> Error: 5.720 cents<br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet11">Eleven note chromatic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/magicaltet15">Fifteen note mega scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:87:<h1> --><h1 id="toc43"><a name="Sentry"></a><!-- ws:end:WikiTextHeadingRule:87 -->Sentry</h1> Group: 2.5/3.9/7<br /> Commas: 245/243<br /> Svalname: 3&5<br /> Related temperaments: sensi<br /> <br /> POTE generator: ~9/7 = 438.574<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 0|, <0 2 1|]<br /> EDOs: 8, 11, 30, 41, 52, 145b, 197bc<br /> Error: 5.793 cents<br /> <br /> <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 /> <!-- ws:start:WikiTextHeadingRule:89:<h1> --><h1 id="toc44"><a name="Mothwelltri"></a><!-- ws:end:WikiTextHeadingRule:89 -->Mothwelltri</h1> Group: 2.7/3.11<br /> Comma: 99/98<br /> Svalname: 1&4<br /> Related temperament: Orwell<br /> <br /> POTE generator:~7/6 = 268.508<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 1|, <0 1 2|]<br /> EDOs: 9, 40, 49c, 58c, 67c, 76c<br /> Error: 6.119 cents<br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri9">Nine note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mothwelltri13">Thirteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:91:<h1> --><h1 id="toc45"><a name="Lovecraft"></a><!-- ws:end:WikiTextHeadingRule:91 -->Lovecraft</h1> Group: 2.11.13<br /> <br /> POTE generator: ~13/11 = 279.318<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 1 0|, <0 2 3|]<br /> EDOS: 13, 30, 43, 73, 116b<br /> Error: 6.026 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:218:<img src="/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png" alt="" title="" /> --><img src="/file/view/lovecraft_116edo.png/284590430/lovecraft_116edo.png" alt="lovecraft_116edo.png" title="lovecraft_116edo.png" /><!-- ws:end:WikiTextLocalImageRule:218 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft9">Nine note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/lovecraft13">Thirteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:93:<h1> --><h1 id="toc46"><a name="Bleu"></a><!-- ws:end:WikiTextHeadingRule:93 -->Bleu</h1> Group: 2.3.7.11.13<br /> Commas: 78/77, 99/98, 144/143<br /> Sval name: 9&17<br /> <br /> POTE generator: ~13/12 = 139.990<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 1 2 3 3|, <0 5 7 4 6|]<br /> EDOs: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/17edo">17</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/43edo">43</a>, <a class="wiki_link" href="http://xenharmonic.wikispaces.com/60edo">60c</a><br /> Error: 6.361 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:219:<img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="" title="" /> --><img src="/file/view/blue_60edo.png/284591332/blue_60edo.png" alt="blue_60edo.png" title="blue_60edo.png" /><!-- ws:end:WikiTextLocalImageRule:219 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/bleu8">bleu8</a> - Eight 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/bleu9">bleu9</a> - Nine 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/bleu17">bleu17</a> - Seventeen note <a class="wiki_link" href="http://xenharmonic.wikispaces.com/chromatic%20scale">chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:95:<h1> --><h1 id="toc47"><a name="Mohaha"></a><!-- ws:end:WikiTextHeadingRule:95 -->Mohaha</h1> Subgroup: 2.3.5.11<br /> Commas: 81/80, 121/120<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">mohajira</a><br /> <br /> POTE generator: ~11/9 = 348.094<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 1 0 2|, <0 2 8 5|]<br /> EDOs: 24, 31, 69d, 100d, 131bd<br /> Error: 6.733 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:220:<img src="/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png" alt="" title="" /> --><img src="/file/view/mohaha_131edo.png/284869856/mohaha_131edo.png" alt="mohaha_131edo.png" title="mohaha_131edo.png" /><!-- ws:end:WikiTextLocalImageRule:220 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/mohaha10">Ten note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:97:<h3> --><h3 id="toc48"><a name="Mohaha--Music"></a><!-- ws:end:WikiTextHeadingRule:97 -->Music</h3> <em><a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/Others/Stiltner/mohaha10ping2.mp3" rel="nofollow">Mohaha10ping2</a></em> by <a class="wiki_link" href="/Billy%20Stiltner">Billy Stiltner</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:99:<h2> --><h2 id="toc49"><a name="Mohaha-Mohoho"></a><!-- ws:end:WikiTextHeadingRule:99 -->Mohoho</h2> Subgroup: 2.3.5.11.13<br /> Commas: 66/65, 81/80, 121/120<br /> <br /> POTE generator: ~11/9 = 348.916<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 1 0 2 4|, <0 2 8 5 -1|]<br /> EDOs: 17c, 24, 31, 55, 86de, 141cde<br /> Error: 9.556 cents<br /> <br /> <!-- ws:start:WikiTextHeadingRule:101:<h1> --><h1 id="toc50"><a name="Stacks"></a><!-- ws:end:WikiTextHeadingRule:101 -->Stacks</h1> Subgroup: 2.9.15.7.11.13<br /> Commas: 100/99, 105/104, 144/143, 196/195<br /> Svalname: 11&30<br /> <br /> POTE generator: ~9/7 = 438.977<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 2 -1 6 -2|, <0 5 3 6 -4 9|]<br /> EDOs: 11, 30, 41<br /> Error: 6.947 cents<br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks8">Eight note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks11">Eleven note note chromatic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/stacks19">Nineteen note note mega chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:103:<h1> --><h1 id="toc51"><a name="Tutone"></a><!-- ws:end:WikiTextHeadingRule:103 -->Tutone</h1> Subgroup: 2.9.5.7.11<br /> Commas: 81/80, 99/98, 126/125<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meantone</a><br /> <br /> POTE generator: ~9/8 = 193.937<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 -4 -13 -25|, <0 1 2 5 9|]<br /> EDOs: 25, 31, 68b, 99b<br /> Error: 7.047 cents<br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone6">Six note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/tutone13">Thirteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextLocalImageRule:221:<img src="/file/view/tutone_99edo.png/284592004/tutone_99edo.png" alt="" title="" /> --><img src="/file/view/tutone_99edo.png/284592004/tutone_99edo.png" alt="tutone_99edo.png" title="tutone_99edo.png" /><!-- ws:end:WikiTextLocalImageRule:221 --><br /> <br /> <!-- ws:start:WikiTextHeadingRule:105:<h1> --><h1 id="toc52"><a name="Leantone"></a><!-- ws:end:WikiTextHeadingRule:105 -->Leantone</h1> Subgroup: 2.9.5.7.11<br /> Commas: 45/44, 56/55, 81/80<br /> Related temperament: <a class="wiki_link" href="/meanenneadecal">meanenneadecal</a><br /> <br /> POTE generator: ~9/8 = 192.500<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 -4 -13 -6|, <0 1 2 5 3|]<br /> EDOs: 6, 7, 13, 19, 25, 31, 56, 81<br /> Error: 20.338 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:222:<img src="/file/view/leantone_81edo.png/284593104/leantone_81edo.png" alt="" title="" /> --><img src="/file/view/leantone_81edo.png/284593104/leantone_81edo.png" alt="leantone_81edo.png" title="leantone_81edo.png" /><!-- ws:end:WikiTextLocalImageRule:222 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone6">Six note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/leantone13">Thirteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:107:<h1> --><h1 id="toc53"><a name="Score"></a><!-- ws:end:WikiTextHeadingRule:107 -->Score</h1> Subgroup: 2.7.11.13<br /> Commas: 343/338, 847/832<br /> <br /> POTE generator: ~11/8 = 540.099<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 1 3 1|, <0 4 1 6|]<br /> EDOs: 5, 7, 9, 11, 20<br /> Error: 8.052 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:223:<img src="http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg" alt="" title="" /> --><img src="http://xenharmonic.wikispaces.com/file/view/score_20edo.jpg/270826026/score_20edo.jpg" alt="score_20edo.jpg" title="score_20edo.jpg" /><!-- ws:end:WikiTextLocalImageRule:223 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score9">Nine note mega albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/score11">Eleven note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:109:<h1> --><h1 id="toc54"><a name="Supra"></a><!-- ws:end:WikiTextHeadingRule:109 -->Supra</h1> Subgroup: 2.3.7.11<br /> Commas: 64/63, 99/98<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/suprapyth">suprapyth</a><br /> <br /> POTE generator: ~3/2 = 707.192<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 6 13|, <0 1 -2 -6|]<br /> EDOs: 5, 7, 12, 17, 22, 34c, 39c, 56c<br /> Error: 9.795 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:224:<img src="/file/view/supra_56edo.png/284870878/supra_56edo.png" alt="" title="" /> --><img src="/file/view/supra_56edo.png/284870878/supra_56edo.png" alt="supra_56edo.png" title="supra_56edo.png" /><!-- ws:end:WikiTextLocalImageRule:224 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra7">Seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/supra12">Twelve note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:111:<h2> --><h2 id="toc55"><a name="Supra-Supraphon"></a><!-- ws:end:WikiTextHeadingRule:111 -->Supraphon</h2> Subgroup: 2.3.7.11.13<br /> Commas: 64/63, 78/77, 99/98<br /> <br /> POTE generator: ~3/2 = 706.137<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 6 13 18|, <0 1 -2 -6 -9|]<br /> EDOs: 5, 7, 12, 17<br /> Error: 10.534 cents<br /> <br /> <!-- ws:start:WikiTextHeadingRule:113:<h2> --><h2 id="toc56"><a name="Supra-Machine"></a><!-- ws:end:WikiTextHeadingRule:113 -->Machine</h2> Subgroup: 2.9.7.11<br /> Commas: 64/63, 99/98<br /> <br /> POTE generator: ~9/8 = 214.384<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 6 13|, <0 1 -1 -3|]<br /> EDOs: 5, 6, 11, 17, 28<br /> Error: 10.100 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:225:<img src="/file/view/machine_28edo.png/284594814/machine_28edo.png" alt="" title="" /> --><img src="/file/view/machine_28edo.png/284594814/machine_28edo.png" alt="machine_28edo.png" title="machine_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:225 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine6">Six note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/machine11">Eleven note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:115:<h1> --><h1 id="toc57"><a name="Antikythera"></a><!-- ws:end:WikiTextHeadingRule:115 -->Antikythera</h1> Subgroup: 2.9.5.7<br /> Commas: 50/49, 64/63<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/pajara">pajara</a><br /> <br /> POTE generator: ~8/7 = 214.095<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<2 0 11 12|, <0 1 -1 -1|]<br /> EDOS: 4, 6, 10, 16, 22, 28<br /> Error: 11.508 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:226:<img src="/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png" alt="" title="" /> --><img src="/file/view/antikythera_28edo.png/284595816/antikythera_28edo.png" alt="antikythera_28edo.png" title="antikythera_28edo.png" /><!-- ws:end:WikiTextLocalImageRule:226 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera6">Six note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera10">Ten note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/antikythera16">Sixteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:117:<h1> --><h1 id="toc58"><a name="Deutone"></a><!-- ws:end:WikiTextHeadingRule:117 -->Deutone</h1> Subgroup: 2.9.5.7.13<br /> Commas: 65/64, 81/80, 91/90<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Meantone%20family">meanpop</a><br /> <br /> POTE generator: ~9/8 = 191.059<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 -4 -13 10|, <0 1 2 5 -2|]<br /> EDOs: 6, 7, 13, 19, 25, 44, 69<br /> Error: 12.145 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:227:<img src="/file/view/deutone_44edo.png/284596634/deutone_44edo.png" alt="" title="" /> --><img src="/file/view/deutone_44edo.png/284596634/deutone_44edo.png" alt="deutone_44edo.png" title="deutone_44edo.png" /><!-- ws:end:WikiTextLocalImageRule:227 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone6">Six note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone7">seven note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/deutone13">Thirteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:119:<h1> --><h1 id="toc59"><a name="Semaphore"></a><!-- ws:end:WikiTextHeadingRule:119 -->Semaphore</h1> Subgroup: 2.3.7<br /> Comma: 49/48<br /> <br /> POTE generator: ~7/6 = 250.385<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<1 0 2|, <0 2 1|]<br /> EDOs: 5, 9, 14, 19, 24<br /> Error: 12.428<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:228:<img src="/file/view/semaphore_24edo.png/337342626/semaphore_24edo.png" alt="" title="" /> --><img src="/file/view/semaphore_24edo.png/337342626/semaphore_24edo.png" alt="semaphore_24edo.png" title="semaphore_24edo.png" /><!-- ws:end:WikiTextLocalImageRule:228 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore5">Five note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore9">Nine note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/semiphore14">Fourteen note chromatic scale</a><br /> <br /> <!-- ws:start:WikiTextHeadingRule:121:<h1> --><h1 id="toc60"><a name="Augment"></a><!-- ws:end:WikiTextHeadingRule:121 -->Augment</h1> Subgroup: 2.5.7.11<br /> Commas: 56/55, 128/125<br /> Related temperament: <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Augmented%20family">augmented</a><br /> <br /> POTE generator: ~8/7 = 228.275<br /> <br /> <a class="wiki_link" href="/Gencom">Gencom</a>:<br /> Gencom map:<br /> <br /> Map: [<3 7 0 2|, <0 0 1 1|]<br /> EDOs: 3, 6, 9, 15, 21<br /> Error: 12.830 cents<br /> <br /> <!-- ws:start:WikiTextLocalImageRule:229:<img src="/file/view/augment_21edo.png/284598188/augment_21edo.png" alt="" title="" /> --><img src="/file/view/augment_21edo.png/284598188/augment_21edo.png" alt="augment_21edo.png" title="augment_21edo.png" /><!-- ws:end:WikiTextLocalImageRule:229 --><br /> <br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment6">Six note haplotonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment9">Nine note albitonic scale</a><br /> <a class="wiki_link" href="http://xenharmonic.wikispaces.com/augment12">Twelve note chromatic scale</a></body></html>