Gamelismic clan: Difference between revisions
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]] | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">[[toc|flat]] | ||
The [2,3,7]-[[Just intonation subgroups|subgroup]] comma for the gamelismic clan is the gamelisma, 1029/1024, with monzo |-10 1 0 3>. For any member of the clan, and for the gamelismic temperament itself (also known as "slendric"), this means three 8/7 intervals give a fifth, 3/2. In fact, we find that 3/2 = (8/7)^3 * 1029/1024. From this it follows that gamelismic temperaments tend to flatten the both fifth and the 7/4, or if they do not, the other of the pair must be flattened even more. [[36edo]] is a good tuning for gamelismic itself, though if the full 7-limit is desired, [[72edo]], [[77edo]] or [[118edo]] might be preferred. | |||
The [2,3, | |||
7-limit minimax | 7-limit minimax | ||
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EDOs: 5, 36, 77, 190 | EDOs: 5, 36, 77, 190 | ||
==Full seven limit children== | ==Full seven limit children== | ||
To the gamelisma itself we need to add the comma which appears next on the modified [[Normal lists|normal comma list]], which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period. | To the gamelisma itself we need to add the comma which appears next on the modified [[Normal lists|normal comma list]], which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period. | ||
=Miracle= | =Miracle= | ||
[[Comma|Commas]]: 1029/1024, 225/224 | [[Comma|Commas]]: 1029/1024, 225/224 | ||
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[[Eigenmonzo|Eigenmonzos]]: 2, 6/5 | [[Eigenmonzo|Eigenmonzos]]: 2, 6/5 | ||
9-limit: | 9-limit: [|1 0 0 0>, |25/19 12/19 -6/19 0>, | ||
|50/19 -14/19 7/19 0>, |55/19 -4/19 2/19 0>] | |50/19 -14/19 7/19 0>, |55/19 -4/19 2/19 0>] | ||
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9 | [[Eigenmonzo|Eigenmonzos]]: 2, 10/9 | ||
[[POTE tuning|POTE generator]]: 116.675 | [[POTE tuning|POTE generator]]: 116.675 | ||
Algebraic generator: Secor59, [[Algebraic number|positive root]] | Algebraic generator: Secor59, [[Algebraic number|positive root]] of 15x^6-8x^4-12 | ||
Map: [<1 1 3 3|, <0 6 -7 -2|] | Map: [<1 1 3 3|, <0 6 -7 -2|] | ||
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Badness: 0.0167 | Badness: 0.0167 | ||
==11-limit== | ==11-limit== | ||
[[Comma|Commas]]: 1029/1024, 225/224, 243/242 | [[Comma|Commas]]: 1029/1024, 225/224, 243/242 | ||
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Badness: 0.0107 | Badness: 0.0107 | ||
==Miraculous== | ==Miraculous== | ||
Commas: 105/104, 144/143, 196/195, 275/273 | Commas: 105/104, 144/143, 196/195, 275/273 | ||
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Badness: 0.0187 | Badness: 0.0187 | ||
==Benediction== | ==Benediction== | ||
Commas: 225/224, 243/242, 361/350, 441/440 | Commas: 225/224, 243/242, 361/350, 441/440 | ||
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Badness: 0.0157 | Badness: 0.0157 | ||
==Manna== | ==Manna== | ||
Commas: 225/224, 243/242, 325/324, 385/384 | Commas: 225/224, 243/242, 325/324, 385/384 | ||
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Badness: 0.0170 | Badness: 0.0170 | ||
==Music== | ==Music== | ||
By [[Chris Vaisvil]] | By [[Chris Vaisvil]] | ||
http://notonlymusic.com/board/download/file.php?id=423 | http://notonlymusic.com/board/download/file.php?id=423 | ||
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http://www.youtube.com/watch?v=-tWGoWS-J6k | http://www.youtube.com/watch?v=-tWGoWS-J6k | ||
=Rodan= | =Rodan= | ||
[[Comma|Commas]]: 1029/1024, 245/243 | [[Comma|Commas]]: 1029/1024, 245/243 | ||
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Badness: 0.0371 | Badness: 0.0371 | ||
==11-limit== | ==11-limit== | ||
[[Comma|Commas]]: 441/440, 245/243, 385/384 | [[Comma|Commas]]: 441/440, 245/243, 385/384 | ||
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Badness: 0.0231 | Badness: 0.0231 | ||
==13-limit== | ==13-limit== | ||
Commas: 196/195, 245/243, 352/351, 364/363 | Commas: 196/195, 245/243, 352/351, 364/363 | ||
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Badness: 0.0184 | Badness: 0.0184 | ||
===Music=== | ===Music=== | ||
By Gene Ward Smith | By Gene Ward Smith | ||
http://www.archive.org/details/Pianodactyl | http://www.archive.org/details/Pianodactyl | ||
==Superduper== | ==Superduper== | ||
Commas: 91/90, 245/243, 385/384, 441/440 | Commas: 91/90, 245/243, 385/384, 441/440 | ||
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Badness: 0.034 | Badness: 0.034 | ||
=Valentine= | =Valentine= | ||
==7-limit== | ==7-limit== | ||
[[Comma|Commas]]: 1029/1024, 126/125 | [[Comma|Commas]]: 1029/1024, 126/125 | ||
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Badness: 0.0311 | Badness: 0.0311 | ||
==11-limit== | ==11-limit== | ||
[[Comma|Commas]]: 121/120, 126/125, 176/175 | [[Comma|Commas]]: 121/120, 126/125, 176/175 | ||
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Badness: 0.0167 | Badness: 0.0167 | ||
=Unidec= | =Unidec= | ||
==7-limit== | ==7-limit== | ||
[[Comma|Commas]]: 1029/1024, 4375/4374 | [[Comma|Commas]]: 1029/1024, 4375/4374 | ||
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EDOs: 26, 46, 72, 118, 190 | EDOs: 26, 46, 72, 118, 190 | ||
==11-limit== | ==11-limit== | ||
[[Comma|Commas]]: 385/384, 441/440, 4375/4374 | [[Comma|Commas]]: 385/384, 441/440, 4375/4374 | ||
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EDOs: 26, 46, 72, 118, 190 | EDOs: 26, 46, 72, 118, 190 | ||
==Ekadash== | ==Ekadash== | ||
Commas: 385/384, 441/440, 625/624, 729/728 | Commas: 385/384, 441/440, 625/624, 729/728 | ||
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Bad: 0.0204 | Bad: 0.0204 | ||
==Hendec== | ==Hendec== | ||
Commas: 169/168, 325/324, 364/363, 1716/1715 | Commas: 169/168, 325/324, 364/363, 1716/1715 | ||
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Bad: 0.0177 | Bad: 0.0177 | ||
=Hemithirds= | =Hemithirds= | ||
==7-limit== | ==7-limit== | ||
[[Comma|Commas]]: {1029/1024, 3136/3125} | [[Comma|Commas]]: {1029/1024, 3136/3125} | ||
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[[Eigenmonzo|Eigenmonzos]]: 2, 7/6 | [[Eigenmonzo|Eigenmonzos]]: 2, 7/6 | ||
==11-limit== | ==11-limit== | ||
[[Comma|Commas]]: {385/384, 441/440, 3136/3125} | [[Comma|Commas]]: {385/384, 441/440, 3136/3125} | ||
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[[edo|Edos]]: [[118edo|118]], [[149edo|149]] | [[edo|Edos]]: [[118edo|118]], [[149edo|149]] | ||
=Tritikleismic= | =Tritikleismic= | ||
==7-limit== | ==7-limit== | ||
[[Comma|Commas]]: 1029/1024, 15625/15552 | [[Comma|Commas]]: 1029/1024, 15625/15552 | ||
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[[Eigenmonzo|Eigenmonzos]]: 2, 9/7 | [[Eigenmonzo|Eigenmonzos]]: 2, 9/7 | ||
==11-limit== | ==11-limit== | ||
[[Comma|Commas]]: 385/384, 441/440, 4000/3993 | [[Comma|Commas]]: 385/384, 441/440, 4000/3993 | ||
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[[edo|EDOs]]: [[72edo|72]], [[159edo|159]], [[231edo|231]] | [[edo|EDOs]]: [[72edo|72]], [[159edo|159]], [[231edo|231]] | ||
==13-limit== | ==13-limit== | ||
Commas: 325/324, 364/363, 441/440, 625/624 | Commas: 325/324, 364/363, 441/440, 625/624 | ||
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EDOs: 15, 72, 87, 159 | EDOs: 15, 72, 87, 159 | ||
=Superkleismic= | =Superkleismic= | ||
Commas: 1029/1024, 875/864 | Commas: 1029/1024, 875/864 | ||
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Badness: 0.0479 | Badness: 0.0479 | ||
==11-limit== | ==11-limit== | ||
Commas: 100/99, 245/242, 385/384 | Commas: 100/99, 245/242, 385/384 | ||
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Badness: 0.0257 | Badness: 0.0257 | ||
==13-limit== | ==13-limit== | ||
Commas: 100/99, 105/104, 245/243, 1188/1183 | Commas: 100/99, 105/104, 245/243, 1188/1183 | ||
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=Gorgo= | =Gorgo= | ||
Commas: 36/35, 1029/1024 | Commas: 36/35, 1029/1024 | ||
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EDOs: 5, 16, 21, 226, 247 | EDOs: 5, 16, 21, 226, 247 | ||
==Music== | ==Music== | ||
By Herman Miller | By Herman Miller | ||
http://sites.google.com/site/teamouse/ | http://sites.google.com/site/teamouse/ | ||
=Lemba= | =Lemba= | ||
Commas: 50/49, 525/512 | Commas: 50/49, 525/512 | ||
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EDOs: 10, 16, 26 | EDOs: 10, 16, 26 | ||
==Music== | ==Music== | ||
By [[Herman Miller]] | By [[Herman Miller]] | ||
[[file:02_HermanMiller_LembaGalatsia.mp3]] | |||
http://sites.google.com/site/teamouse/ | http://sites.google.com/site/teamouse/ | ||
=Gidorah= | =Gidorah= | ||
Commas: 21/20, 144/125 | Commas: 21/20, 144/125 | ||
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<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Gamelismic clan</title></head><body><!-- ws:start:WikiTextTocRule:70:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --> | <a href="#Miracle">Miracle</a><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#Rodan">Rodan</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --> | <a href="#Valentine">Valentine</a><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --> | <a href="#Unidec">Unidec</a><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --><!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --><!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --><!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --> | <a href="#Hemithirds">Hemithirds</a><!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --> | <a href="#Tritikleismic">Tritikleismic</a><!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --><!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --><!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --><!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --> | <a href="#Superkleismic">Superkleismic</a><!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --><!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --> | <a href="#Gorgo">Gorgo</a><!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --><!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --> | <a href="#Lemba">Lemba</a><!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --><!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --> | <a href="#Gidorah">Gidorah</a><!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --> | <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Gamelismic clan</title></head><body><!-- ws:start:WikiTextTocRule:70:&lt;img id=&quot;wikitext@@toc@@flat&quot; class=&quot;WikiMedia WikiMediaTocFlat&quot; title=&quot;Table of Contents&quot; src=&quot;/site/embedthumbnail/toc/flat?w=100&amp;h=16&quot;/&gt; --><!-- ws:end:WikiTextTocRule:70 --><!-- ws:start:WikiTextTocRule:71: --><!-- ws:end:WikiTextTocRule:71 --><!-- ws:start:WikiTextTocRule:72: --> | <a href="#Miracle">Miracle</a><!-- ws:end:WikiTextTocRule:72 --><!-- ws:start:WikiTextTocRule:73: --><!-- ws:end:WikiTextTocRule:73 --><!-- ws:start:WikiTextTocRule:74: --><!-- ws:end:WikiTextTocRule:74 --><!-- ws:start:WikiTextTocRule:75: --><!-- ws:end:WikiTextTocRule:75 --><!-- ws:start:WikiTextTocRule:76: --><!-- ws:end:WikiTextTocRule:76 --><!-- ws:start:WikiTextTocRule:77: --><!-- ws:end:WikiTextTocRule:77 --><!-- ws:start:WikiTextTocRule:78: --> | <a href="#Rodan">Rodan</a><!-- ws:end:WikiTextTocRule:78 --><!-- ws:start:WikiTextTocRule:79: --><!-- ws:end:WikiTextTocRule:79 --><!-- ws:start:WikiTextTocRule:80: --><!-- ws:end:WikiTextTocRule:80 --><!-- ws:start:WikiTextTocRule:81: --><!-- ws:end:WikiTextTocRule:81 --><!-- ws:start:WikiTextTocRule:82: --><!-- ws:end:WikiTextTocRule:82 --><!-- ws:start:WikiTextTocRule:83: --> | <a href="#Valentine">Valentine</a><!-- ws:end:WikiTextTocRule:83 --><!-- ws:start:WikiTextTocRule:84: --><!-- ws:end:WikiTextTocRule:84 --><!-- ws:start:WikiTextTocRule:85: --><!-- ws:end:WikiTextTocRule:85 --><!-- ws:start:WikiTextTocRule:86: --> | <a href="#Unidec">Unidec</a><!-- ws:end:WikiTextTocRule:86 --><!-- ws:start:WikiTextTocRule:87: --><!-- ws:end:WikiTextTocRule:87 --><!-- ws:start:WikiTextTocRule:88: --><!-- ws:end:WikiTextTocRule:88 --><!-- ws:start:WikiTextTocRule:89: --><!-- ws:end:WikiTextTocRule:89 --><!-- ws:start:WikiTextTocRule:90: --><!-- ws:end:WikiTextTocRule:90 --><!-- ws:start:WikiTextTocRule:91: --> | <a href="#Hemithirds">Hemithirds</a><!-- ws:end:WikiTextTocRule:91 --><!-- ws:start:WikiTextTocRule:92: --><!-- ws:end:WikiTextTocRule:92 --><!-- ws:start:WikiTextTocRule:93: --><!-- ws:end:WikiTextTocRule:93 --><!-- ws:start:WikiTextTocRule:94: --> | <a href="#Tritikleismic">Tritikleismic</a><!-- ws:end:WikiTextTocRule:94 --><!-- ws:start:WikiTextTocRule:95: --><!-- ws:end:WikiTextTocRule:95 --><!-- ws:start:WikiTextTocRule:96: --><!-- ws:end:WikiTextTocRule:96 --><!-- ws:start:WikiTextTocRule:97: --><!-- ws:end:WikiTextTocRule:97 --><!-- ws:start:WikiTextTocRule:98: --> | <a href="#Superkleismic">Superkleismic</a><!-- ws:end:WikiTextTocRule:98 --><!-- ws:start:WikiTextTocRule:99: --><!-- ws:end:WikiTextTocRule:99 --><!-- ws:start:WikiTextTocRule:100: --><!-- ws:end:WikiTextTocRule:100 --><!-- ws:start:WikiTextTocRule:101: --> | <a href="#Gorgo">Gorgo</a><!-- ws:end:WikiTextTocRule:101 --><!-- ws:start:WikiTextTocRule:102: --><!-- ws:end:WikiTextTocRule:102 --><!-- ws:start:WikiTextTocRule:103: --> | <a href="#Lemba">Lemba</a><!-- ws:end:WikiTextTocRule:103 --><!-- ws:start:WikiTextTocRule:104: --><!-- ws:end:WikiTextTocRule:104 --><!-- ws:start:WikiTextTocRule:105: --> | <a href="#Gidorah">Gidorah</a><!-- ws:end:WikiTextTocRule:105 --><!-- ws:start:WikiTextTocRule:106: --> | ||
<!-- ws:end:WikiTextTocRule:106 --><br /> | <!-- ws:end:WikiTextTocRule:106 --><br /> | ||
The [2,3,7]-<a class="wiki_link" href="/Just%20intonation%20subgroups">subgroup</a> comma for the gamelismic clan is the gamelisma, 1029/1024, with monzo |-10 1 0 3&gt;. For any member of the clan, and for the gamelismic temperament itself (also known as &quot;slendric&quot;), this means three 8/7 intervals give a fifth, 3/2. In fact, we find that 3/2 = (8/7)^3 * 1029/1024. From this it follows that gamelismic temperaments tend to flatten the both fifth and the 7/4, or if they do not, the other of the pair must be flattened even more. <a class="wiki_link" href="/36edo">36edo</a> is a good tuning for gamelismic itself, though if the full 7-limit is desired, <a class="wiki_link" href="/72edo">72edo</a>, <a class="wiki_link" href="/77edo">77edo</a> or <a class="wiki_link" href="/118edo">118edo</a> might be preferred. <br /> | |||
The [2,3, | |||
<br /> | <br /> | ||
7-limit minimax<br /> | 7-limit minimax<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Full seven limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->Full seven limit children</h2> | <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Full seven limit children"></a><!-- ws:end:WikiTextHeadingRule:0 -->Full seven limit children</h2> | ||
To the gamelisma itself we need to add the comma which appears next on the modified <a class="wiki_link" href="/Normal%20lists">normal comma list</a>, which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period.<br /> | To the gamelisma itself we need to add the comma which appears next on the modified <a class="wiki_link" href="/Normal%20lists">normal comma list</a>, which is often a 5-limit comma. The second comma on the list for mothra is 81/80, for rodan 245/243, for guiron 32805/32768, for gorgo 36/35, and for gidorah 256/245. These all use 8/7 as a generator, though in the case of gidorah that's the same as 6/5. Miracle adds 33075/32768 and uses the secor, half an 8/7, as generator. Lemba adds 525/512 to the list, and has a half-octave period. Valentine adds 6144/6125 with a generator of 21/20 and superkleismic adds 875/864 with a generator of 6/5. Unidec adds 4375/4374, and has a generator of 10/9 with a half-octave period. Hemithirds adds 65625/65536 with a generator half of a major third. Finally, tritikleismic adds 15625/15536 and has a generator of 6/5 with a 1/3 octave period.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Miracle"></a><!-- ws:end:WikiTextHeadingRule:2 -->Miracle</h1> | <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Miracle"></a><!-- ws:end:WikiTextHeadingRule:2 -->Miracle</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 225/224<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 225/224<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | ||
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<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 6/5<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 6/5<br /> | ||
<br /> | <br /> | ||
9-limit: | 9-limit: [|1 0 0 0&gt;, |25/19 12/19 -6/19 0&gt;, <br /> | ||
|50/19 -14/19 7/19 0&gt;, |55/19 -4/19 2/19 0&gt;]<br /> | |50/19 -14/19 7/19 0&gt;, |55/19 -4/19 2/19 0&gt;]<br /> | ||
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9<br /> | <a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 116.675<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 116.675<br /> | ||
Algebraic generator: Secor59, <a class="wiki_link" href="/Algebraic%20number">positive root</a> | Algebraic generator: Secor59, <a class="wiki_link" href="/Algebraic%20number">positive root</a> of 15x^6-8x^4-12<br /> | ||
<br /> | <br /> | ||
Map: [&lt;1 1 3 3|, &lt;0 6 -7 -2|]<br /> | Map: [&lt;1 1 3 3|, &lt;0 6 -7 -2|]<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Miracle-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:4:&lt;h2&gt; --><h2 id="toc2"><a name="Miracle-11-limit"></a><!-- ws:end:WikiTextHeadingRule:4 -->11-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 225/224, 243/242<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 225/224, 243/242<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | ||
| Line 438: | Line 436: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Miracle-Miraculous"></a><!-- ws:end:WikiTextHeadingRule:6 -->Miraculous</h2> | <!-- ws:start:WikiTextHeadingRule:6:&lt;h2&gt; --><h2 id="toc3"><a name="Miracle-Miraculous"></a><!-- ws:end:WikiTextHeadingRule:6 -->Miraculous</h2> | ||
Commas: 105/104, 144/143, 196/195, 275/273<br /> | Commas: 105/104, 144/143, 196/195, 275/273<br /> | ||
<br /> | <br /> | ||
POTE generator: ~15/14 = 116.747<br /> | POTE generator: ~15/14 = 116.747<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Miracle-Benediction"></a><!-- ws:end:WikiTextHeadingRule:8 -->Benediction</h2> | <!-- ws:start:WikiTextHeadingRule:8:&lt;h2&gt; --><h2 id="toc4"><a name="Miracle-Benediction"></a><!-- ws:end:WikiTextHeadingRule:8 -->Benediction</h2> | ||
Commas: 225/224, 243/242, 361/350, 441/440<br /> | Commas: 225/224, 243/242, 361/350, 441/440<br /> | ||
<br /> | <br /> | ||
POTE generator: ~15/14 = 116.574<br /> | POTE generator: ~15/14 = 116.574<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Miracle-Manna"></a><!-- ws:end:WikiTextHeadingRule:10 -->Manna</h2> | <!-- ws:start:WikiTextHeadingRule:10:&lt;h2&gt; --><h2 id="toc5"><a name="Miracle-Manna"></a><!-- ws:end:WikiTextHeadingRule:10 -->Manna</h2> | ||
Commas: 225/224, 243/242, 325/324, 385/384<br /> | Commas: 225/224, 243/242, 325/324, 385/384<br /> | ||
<br /> | <br /> | ||
POTE generator: ~15/14 = 116.739<br /> | POTE generator: ~15/14 = 116.739<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Miracle-Music"></a><!-- ws:end:WikiTextHeadingRule:12 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h2&gt; --><h2 id="toc6"><a name="Miracle-Music"></a><!-- ws:end:WikiTextHeadingRule:12 -->Music</h2> | ||
By <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | By <a class="wiki_link" href="/Chris%20Vaisvil">Chris Vaisvil</a><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:516:http://notonlymusic.com/board/download/file.php?id=423 --><a class="wiki_link_ext" href="http://notonlymusic.com/board/download/file.php?id=423" rel="nofollow">http://notonlymusic.com/board/download/file.php?id=423</a><!-- ws:end:WikiTextUrlRule:516 --> <br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:517:http://notonlymusic.com/board/download/file.php?id=424 --><a class="wiki_link_ext" href="http://notonlymusic.com/board/download/file.php?id=424" rel="nofollow">http://notonlymusic.com/board/download/file.php?id=424</a><!-- ws:end:WikiTextUrlRule:517 --><br /> | ||
By <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br /> | By <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:518:http://www.archive.org/details/RachmaninoffPlaysBlackjack --><a class="wiki_link_ext" href="http://www.archive.org/details/RachmaninoffPlaysBlackjack" rel="nofollow">http://www.archive.org/details/RachmaninoffPlaysBlackjack</a><!-- ws:end:WikiTextUrlRule:518 --><br /> | ||
By <a class="wiki_link" href="/Joseph%20Pehrson">Joseph Pehrson</a><br /> | By <a class="wiki_link" href="/Joseph%20Pehrson">Joseph Pehrson</a><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:519:http://www.youtube.com/watch?v=NFvcpgk7Z_k --><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=NFvcpgk7Z_k" rel="nofollow">http://www.youtube.com/watch?v=NFvcpgk7Z_k</a><!-- ws:end:WikiTextUrlRule:519 --><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:520:http://www.youtube.com/watch?v=-tWGoWS-J6k --><a class="wiki_link_ext" href="http://www.youtube.com/watch?v=-tWGoWS-J6k" rel="nofollow">http://www.youtube.com/watch?v=-tWGoWS-J6k</a><!-- ws:end:WikiTextUrlRule:520 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Rodan"></a><!-- ws:end:WikiTextHeadingRule:14 -->Rodan</h1> | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="Rodan"></a><!-- ws:end:WikiTextHeadingRule:14 -->Rodan</h1> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 245/243<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 245/243<br /> | ||
<br /> | <br /> | ||
7+9 limit minimax tuning: [|1 0 0 0&gt;, |5/3 0 1/6 -1/6&gt;, <br /> | 7+9 limit minimax tuning: [|1 0 0 0&gt;, |5/3 0 1/6 -1/6&gt;, <br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Rodan-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:16:&lt;h2&gt; --><h2 id="toc8"><a name="Rodan-11-limit"></a><!-- ws:end:WikiTextHeadingRule:16 -->11-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 441/440, 245/243, 385/384<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 441/440, 245/243, 385/384<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>: [|1 0 0 0 0&gt;, |31/19 6/19 0 0 -3/19&gt;, <br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>: [|1 0 0 0 0&gt;, |31/19 6/19 0 0 -3/19&gt;, <br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Rodan-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:18:&lt;h2&gt; --><h2 id="toc9"><a name="Rodan-13-limit"></a><!-- ws:end:WikiTextHeadingRule:18 -->13-limit</h2> | ||
Commas: 196/195, 245/243, 352/351, 364/363<br /> | Commas: 196/195, 245/243, 352/351, 364/363<br /> | ||
<br /> | <br /> | ||
13 and 15 limit minimax<br /> | 13 and 15 limit minimax<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="Rodan-13-limit-Music"></a><!-- ws:end:WikiTextHeadingRule:20 -->Music</h3> | <!-- ws:start:WikiTextHeadingRule:20:&lt;h3&gt; --><h3 id="toc10"><a name="Rodan-13-limit-Music"></a><!-- ws:end:WikiTextHeadingRule:20 -->Music</h3> | ||
By Gene Ward Smith<br /> | By Gene Ward Smith<br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:521:http://www.archive.org/details/Pianodactyl --><a class="wiki_link_ext" href="http://www.archive.org/details/Pianodactyl" rel="nofollow">http://www.archive.org/details/Pianodactyl</a><!-- ws:end:WikiTextUrlRule:521 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Rodan-Superduper"></a><!-- ws:end:WikiTextHeadingRule:22 -->Superduper</h2> | <!-- ws:start:WikiTextHeadingRule:22:&lt;h2&gt; --><h2 id="toc11"><a name="Rodan-Superduper"></a><!-- ws:end:WikiTextHeadingRule:22 -->Superduper</h2> | ||
Commas: 91/90, 245/243, 385/384, 441/440<br /> | Commas: 91/90, 245/243, 385/384, 441/440<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 234.639<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 234.639<br /> | ||
| Line 534: | Line 532: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Valentine"></a><!-- ws:end:WikiTextHeadingRule:24 -->Valentine</h1> | <!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="Valentine"></a><!-- ws:end:WikiTextHeadingRule:24 -->Valentine</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Valentine-7-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:26:&lt;h2&gt; --><h2 id="toc13"><a name="Valentine-7-limit"></a><!-- ws:end:WikiTextHeadingRule:26 -->7-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 126/125<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 126/125<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | ||
| Line 556: | Line 554: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Valentine-11-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:28:&lt;h2&gt; --><h2 id="toc14"><a name="Valentine-11-limit"></a><!-- ws:end:WikiTextHeadingRule:28 -->11-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 121/120, 126/125, 176/175<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 121/120, 126/125, 176/175<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | ||
| Line 572: | Line 570: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Unidec"></a><!-- ws:end:WikiTextHeadingRule:30 -->Unidec</h1> | <!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="Unidec"></a><!-- ws:end:WikiTextHeadingRule:30 -->Unidec</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Unidec-7-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:32:&lt;h2&gt; --><h2 id="toc16"><a name="Unidec-7-limit"></a><!-- ws:end:WikiTextHeadingRule:32 -->7-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 4375/4374<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 4375/4374<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | ||
| Line 589: | Line 587: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Unidec-11-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:34:&lt;h2&gt; --><h2 id="toc17"><a name="Unidec-11-limit"></a><!-- ws:end:WikiTextHeadingRule:34 -->11-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 385/384, 441/440, 4375/4374<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 385/384, 441/440, 4375/4374<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | ||
| Line 602: | Line 600: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Unidec-Ekadash"></a><!-- ws:end:WikiTextHeadingRule:36 -->Ekadash</h2> | <!-- ws:start:WikiTextHeadingRule:36:&lt;h2&gt; --><h2 id="toc18"><a name="Unidec-Ekadash"></a><!-- ws:end:WikiTextHeadingRule:36 -->Ekadash</h2> | ||
Commas: 385/384, 441/440, 625/624, 729/728<br /> | Commas: 385/384, 441/440, 625/624, 729/728<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 183.187<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 183.187<br /> | ||
| Line 611: | Line 609: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Unidec-Hendec"></a><!-- ws:end:WikiTextHeadingRule:38 -->Hendec</h2> | <!-- ws:start:WikiTextHeadingRule:38:&lt;h2&gt; --><h2 id="toc19"><a name="Unidec-Hendec"></a><!-- ws:end:WikiTextHeadingRule:38 -->Hendec</h2> | ||
Commas: 169/168, 325/324, 364/363, 1716/1715<br /> | Commas: 169/168, 325/324, 364/363, 1716/1715<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 183.187<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~10/9 = 183.187<br /> | ||
| Line 620: | Line 618: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Hemithirds"></a><!-- ws:end:WikiTextHeadingRule:40 -->Hemithirds</h1> | <!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="Hemithirds"></a><!-- ws:end:WikiTextHeadingRule:40 -->Hemithirds</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Hemithirds-7-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:42:&lt;h2&gt; --><h2 id="toc21"><a name="Hemithirds-7-limit"></a><!-- ws:end:WikiTextHeadingRule:42 -->7-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 3136/3125}<br /> | <a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 3136/3125}<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | ||
| Line 634: | Line 632: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Hemithirds-11-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:44:&lt;h2&gt; --><h2 id="toc22"><a name="Hemithirds-11-limit"></a><!-- ws:end:WikiTextHeadingRule:44 -->11-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: {385/384, 441/440, 3136/3125}<br /> | <a class="wiki_link" href="/Comma">Commas</a>: {385/384, 441/440, 3136/3125}<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | ||
| Line 646: | Line 644: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id="toc23"><a name="Tritikleismic"></a><!-- ws:end:WikiTextHeadingRule:46 -->Tritikleismic</h1> | <!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id="toc23"><a name="Tritikleismic"></a><!-- ws:end:WikiTextHeadingRule:46 -->Tritikleismic</h1> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="Tritikleismic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:48 -->7-limit</h2> | <!-- ws:start:WikiTextHeadingRule:48:&lt;h2&gt; --><h2 id="toc24"><a name="Tritikleismic-7-limit"></a><!-- ws:end:WikiTextHeadingRule:48 -->7-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 15625/15552<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 1029/1024, 15625/15552<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/Minimax%20tunings">Minimax tunings</a>:<br /> | <a class="wiki_link" href="/Minimax%20tunings">Minimax tunings</a>:<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Tritikleismic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:50 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:50:&lt;h2&gt; --><h2 id="toc25"><a name="Tritikleismic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:50 -->11-limit</h2> | ||
<a class="wiki_link" href="/Comma">Commas</a>: 385/384, 441/440, 4000/3993<br /> | <a class="wiki_link" href="/Comma">Commas</a>: 385/384, 441/440, 4000/3993<br /> | ||
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<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | <a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Tritikleismic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:52 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:52:&lt;h2&gt; --><h2 id="toc26"><a name="Tritikleismic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:52 -->13-limit</h2> | ||
Commas: 325/324, 364/363, 441/440, 625/624<br /> | Commas: 325/324, 364/363, 441/440, 625/624<br /> | ||
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Map: [&lt;3 0 3 10 8 0|, &lt;0 6 5 -2 3 14|]<br /> | Map: [&lt;3 0 3 10 8 0|, &lt;0 6 5 -2 3 14|]<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:54:&lt;h1&gt; --><h1 id="toc27"><a name="Superkleismic"></a><!-- ws:end:WikiTextHeadingRule:54 -->Superkleismic</h1> | <!-- ws:start:WikiTextHeadingRule:54:&lt;h1&gt; --><h1 id="toc27"><a name="Superkleismic"></a><!-- ws:end:WikiTextHeadingRule:54 -->Superkleismic</h1> | ||
Commas: 1029/1024, 875/864<br /> | Commas: 1029/1024, 875/864<br /> | ||
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POTE generator: ~6/5 = 321.930<br /> | POTE generator: ~6/5 = 321.930<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:56:&lt;h2&gt; --><h2 id="toc28"><a name="Superkleismic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:56 -->11-limit</h2> | <!-- ws:start:WikiTextHeadingRule:56:&lt;h2&gt; --><h2 id="toc28"><a name="Superkleismic-11-limit"></a><!-- ws:end:WikiTextHeadingRule:56 -->11-limit</h2> | ||
Commas: 100/99, 245/242, 385/384<br /> | Commas: 100/99, 245/242, 385/384<br /> | ||
<br /> | <br /> | ||
POTE generator: ~6/5 = 321.847<br /> | POTE generator: ~6/5 = 321.847<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="Superkleismic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:58 -->13-limit</h2> | <!-- ws:start:WikiTextHeadingRule:58:&lt;h2&gt; --><h2 id="toc29"><a name="Superkleismic-13-limit"></a><!-- ws:end:WikiTextHeadingRule:58 -->13-limit</h2> | ||
Commas: 100/99, 105/104, 245/243, 1188/1183<br /> | Commas: 100/99, 105/104, 245/243, 1188/1183<br /> | ||
<br /> | <br /> | ||
POTE generator: ~6/5 = 321.994<br /> | POTE generator: ~6/5 = 321.994<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:60:&lt;h1&gt; --><h1 id="toc30"><a name="Gorgo"></a><!-- ws:end:WikiTextHeadingRule:60 -->Gorgo</h1> | <!-- ws:start:WikiTextHeadingRule:60:&lt;h1&gt; --><h1 id="toc30"><a name="Gorgo"></a><!-- ws:end:WikiTextHeadingRule:60 -->Gorgo</h1> | ||
Commas: 36/35, 1029/1024<br /> | Commas: 36/35, 1029/1024<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 228.337<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 228.337<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:62:&lt;h2&gt; --><h2 id="toc31"><a name="Gorgo-Music"></a><!-- ws:end:WikiTextHeadingRule:62 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:62:&lt;h2&gt; --><h2 id="toc31"><a name="Gorgo-Music"></a><!-- ws:end:WikiTextHeadingRule:62 -->Music</h2> | ||
By Herman Miller<br /> | By Herman Miller<br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:522:http://sites.google.com/site/teamouse/ --><a class="wiki_link_ext" href="http://sites.google.com/site/teamouse/" rel="nofollow">http://sites.google.com/site/teamouse/</a><!-- ws:end:WikiTextUrlRule:522 --><br /> | ||
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<!-- ws:start:WikiTextHeadingRule:64:&lt;h1&gt; --><h1 id="toc32"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:64 -->Lemba</h1> | <!-- ws:start:WikiTextHeadingRule:64:&lt;h1&gt; --><h1 id="toc32"><a name="Lemba"></a><!-- ws:end:WikiTextHeadingRule:64 -->Lemba</h1> | ||
Commas: 50/49, 525/512<br /> | Commas: 50/49, 525/512<br /> | ||
<br /> | <br /> | ||
<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 232.089<br /> | <a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: 232.089<br /> | ||
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<!-- ws:start:WikiTextHeadingRule:66:&lt;h2&gt; --><h2 id="toc33"><a name="Lemba-Music"></a><!-- ws:end:WikiTextHeadingRule:66 -->Music</h2> | <!-- ws:start:WikiTextHeadingRule:66:&lt;h2&gt; --><h2 id="toc33"><a name="Lemba-Music"></a><!-- ws:end:WikiTextHeadingRule:66 -->Music</h2> | ||
By <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a><br /> | By <a class="wiki_link" href="/Herman%20Miller">Herman Miller</a><br /> | ||
<!-- ws:start:WikiTextFileRule:107:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/02_HermanMiller_LembaGalatsia.mp3?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@02_HermanMiller_LembaGalatsia.mp3&quot; title=&quot;File: 02_HermanMiller_LembaGalatsia.mp3&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3" onclick="ws.common.trackFileLink('/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3');"><img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="02_HermanMiller_LembaGalatsia.mp3" /></a><div><a href="/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3" onclick="ws.common.trackFileLink('/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3');" class="filename" title="02_HermanMiller_LembaGalatsia.mp3">02_HermanMiller_LembaGalatsia.mp3</a><br /><ul><li><a href="/file/detail/02_HermanMiller_LembaGalatsia.mp3">Details</a></li><li><a href="/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3">Download</a></li><li style="color: #666">2 MB</li></ul></div></div><!-- ws:end:WikiTextFileRule:107 --><br /> | <!-- ws:start:WikiTextFileRule:107:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/02_HermanMiller_LembaGalatsia.mp3?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@02_HermanMiller_LembaGalatsia.mp3&quot; title=&quot;File: 02_HermanMiller_LembaGalatsia.mp3&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3" onclick="ws.common.trackFileLink('/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3');"><img src="http://www.wikispaces.com/i/mime/32/audio/mpeg.png" height="32" width="32" alt="02_HermanMiller_LembaGalatsia.mp3" /></a><div><a href="/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3" onclick="ws.common.trackFileLink('/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3');" class="filename" title="02_HermanMiller_LembaGalatsia.mp3">02_HermanMiller_LembaGalatsia.mp3</a><br /><ul><li><a href="/file/detail/02_HermanMiller_LembaGalatsia.mp3">Details</a></li><li><a href="/file/view/02_HermanMiller_LembaGalatsia.mp3/30088055/02_HermanMiller_LembaGalatsia.mp3">Download</a></li><li style="color: #666">2 MB</li></ul></div></div><!-- ws:end:WikiTextFileRule:107 --><br /> | ||
<!-- ws:start:WikiTextUrlRule: | <!-- ws:start:WikiTextUrlRule:523:http://sites.google.com/site/teamouse/ --><a class="wiki_link_ext" href="http://sites.google.com/site/teamouse/" rel="nofollow">http://sites.google.com/site/teamouse/</a><!-- ws:end:WikiTextUrlRule:523 --><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:68:&lt;h1&gt; --><h1 id="toc34"><a name="Gidorah"></a><!-- ws:end:WikiTextHeadingRule:68 -->Gidorah</h1> | <!-- ws:start:WikiTextHeadingRule:68:&lt;h1&gt; --><h1 id="toc34"><a name="Gidorah"></a><!-- ws:end:WikiTextHeadingRule:68 -->Gidorah</h1> | ||
Commas: 21/20, 144/125<br /> | Commas: 21/20, 144/125<br /> | ||
<br /> | <br /> | ||
POTE generator: ~8/7 = 230.762<br /> | POTE generator: ~8/7 = 230.762<br /> | ||