Gamelismic clan: Difference between revisions

Revision as of 11:04, 26 September 2010

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author xenwolf and made on 2010-09-26 11:04:05 UTC.

The original revision id was 165456959.

The revision comment was: links added

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

The [2,3,5]-[[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, 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. 

==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.

===Miracle===

7-limit
[[Comma|Commas]]: {1029/1024, 225/224}

[[Minimax tuning]]:
7-limit: [|1 0 0 0>, |25/13 6/13 -6/13 0>, 
|25/13 -7/13 7/13 0>, |35/13 -2/13 2/13 0>]
[[Eigenmonzo|Eigenmonzos]]: 2, 6/5

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>]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9

11-limit
[[Comma|Commas]]: {1029/1024, 225/224, 243/242}

[[Minimax tuning]]:
[|1 0 0 0 0>, |25/19 12/19 -6/19 0 0>, 
|50/19 -14/19 7/19 0 0>, |55/19 -4/19 2/19 0 0>, 
|53/19 30/19 -15/19 0 0>]
[[Eigenmonzo|Eigenmonzos]]: 2, 10/9

Map: [<1 1 3 3 2|, <0 6 -7 -2 15|]

[[edo|Edos]]: [[72edo|72]], [[175edo|175]]

===Rodan===

7-limit
[[Comma|Commas]]: {1029/1024, 245/243}

7+9 limit minimax tuning: [|1 0 0 0>, |5/3 0 1/6 -1/6>, 
|25/9 0 17/18 -17/18>, |25/9 0 -1/18 1/18>]
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5

11-limit
[[Comma|Commas]]: {441/440, 245/243, 385/384}

[[Minimax tuning]]: [|1 0 0 0 0>, |31/19 6/19 0 0 -3/19>, 
|49/19 34/19 0 0 -17/19>, |53/19 -2/19 0 0 1/19>, 
|62/19 -26/19 0 0 13/19>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/9

Map: [<1 1 -1 3 6|, <0 3 17 -1 -13|]

[[edo|Edos]]: [[87edo|87]], [[128edo|128]]

===Valentine===

7-limit
[[Comma|Commas]]: {1029/1024, 126/125}

[[Minimax tuning]]:
7-limit: [|1 0 0 0>, |5/2 3/4 0 -3/4>, 
|17/6 5/12 0 -5/12>, [5/2 -1/4 0 1/4>]
9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, 
|47/21 10/21 0 -5/21>, |20/7 -2/7 0 1/7>]

11-limit
[[Comma|Commas]]: {121/120, 126/125, 176/175}

[[Minimax tuning]]:
[|1 0 0 0 0>, |1 0 0 -9/10 9/10>, 
|2 0 0 -1/2 1/2>, |3 0 0 3/10 -3/10>, |3 0 0 -7/10 7/10>]

Map: [<1 1 2 3 3|, <0 9 5 -3 7|]

[[edo|Edos]]: [[77edo|77]], [[108edo|108]], [[185edo|185]]

===Guiron===

7-limit
[[Comma|Commas]]: {1029/1024, 32805/32768}

[[Minimax tuning]]:
7+9 limit: [|1 0 0 0>, |15/8 0 -1/8 0>, 
|0 0 1 0>, |65/24 0 1/24 0>]
[[Eigenmonzo|Eigenmonzos]]: 2, 5/4

11-limit:
[[Comma|Commas]]: {385/384, 441/440, 3025/3024}

[[Minimax tuning]]:
[|1 0 0 0 0>, |15/8 0 -1/8 0 0>, 
|0 0 1 0 0>, |65/24 0 1/24 0 0>, 
|37/6 0 -7/6 0 0>]
[[Eigenmonzo|Eigenmonzos]]: 2, 5/4

Map: [<1 1 7 3 -2|, <0 3 -24 -1 28|]

[[edo|Edos]]: [[118edo|118]], [[159edo|159]]

===Unidec===

7-limit
[[Comma|Commas]]: {1029/1024, 4375/4374}

[[Minimax tuning]]:
7-limit: [|1 0 0 0>, |47/26 0 6/13 -6/13>, 
|71/26 0 11/13 -11/13>, |71/26 0 -2/13 2/13>]
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5

9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, 
|57/28 11/7 0 -11/14>, |20/7 -2/7 0 1/7>]
[[Eigenmonzo|Eigenmonzos]]: 2, 9/7

11-limit
[[Comma|Commas]]: {1029/1024, 4375/4374, 441/440}

[[Minimax tuning]]:
[|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>, |57/28 11/7 0 -11/14 0>,
|20/7 -2/7 0 1/7 0>, |99/28 -3/7 0 3/14 0>]
[[Eigenmonzo|Eigenmonzos]]: 2, 9/7

Map: [<2 5 8 5 6|, <0 -6 -11 2 3|]

[[edo|Edos]]: [[118edo|118]], [[190edo|190]]

===Hemithirds===

7-limit
[[Comma|Commas]]: {1029/1024, 3136/3125}

[[Minimax tuning]]:
7-limit: [|1 0 0 0>, |5/2 3/4 0 -3/4>, 
|11/5 -1/10 0 1/10>, |5/2 -1/4 0 1/4>]
[[Eigenmonzo|Eigenmonzos]]: 2, 7/6

9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, 
|82/35 -4/35 0 2/35>, |20/7 -2/7 0 1/7>]
[[Eigenmonzo|Eigenmonzos]]: 2, 7/6

11-limit
[[Comma|Commas]]: {385/384, 441/440, 3136/3125}

[[Minimax tuning]]:
[|1 0 0 0 0>, |11/9 0 0 -5/9 5/9>, |64/27 0 0 2/27 -2/27>,
|79/27 0 0 5/27 -5/27>, |79/27 0 0 -22/27 22/27>]
[[Eigenmonzo|Eigenmonzos]]: 2, 11/7

Map: [<1 4 2 2 7|, <0 -15 2 5 -22|]

[[edo|Edos]]: [[118edo|118]], [[149edo|149]]

===Tritikleismic===

7-limit
[[Comma|Commas]]: {1029/1024, 15625/15552}

[[Minimax tunings]]:
7-limit: [|1 0 0 0>, |2 0 6/7 -6/7>, 
|8/3 0 5/7 -5/7>, |8/3 0 -2/7 2/7>]
[[Eigenmonzo|Eigenmonzos]]: 2, 7/5

9-limit: [|1 0 0 0>, |10/7 6/7 0 -3/7>, 
|46/21 5/7 0 -5/14>, |20/7 -2/7 0 1/7>]
[[Eigenmonzo|Eigenmonzos]]: 2, 9/7

11-limit
[[Comma|Commas]]: {385/384, 441/440, 4000/3993}

[[Minimax tuning]]:
[|1 0 0 0 0>, |10/7 6/7 0 -3/7 0>, |46/21 5/7 0 -5/14 0>, 
|20/7 -2/7 0 1/7 0>, |71/21 3/7 0 -3/14 0>]
[[Eigenmonzo|Eigenmonzos]]: 2, 9/7

[[edo|Edos]]: [[72edo|72]], [[159edo|159]], [[231edo|231]]

Original HTML content:

<html><head><title>Gamelismic clan</title></head><body>The [2,3,5]-<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, 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.<br />
<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 />
<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>
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 />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h3&gt; --><h3 id="toc1"><a name="x-Full seven limit children-Miracle"></a><!-- ws:end:WikiTextHeadingRule:2 -->Miracle</h3>
<br />
7-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 225/224}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
7-limit: [|1 0 0 0&gt;, |25/13 6/13 -6/13 0&gt;, <br />
|25/13 -7/13 7/13 0&gt;, |35/13 -2/13 2/13 0&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 6/5<br />
<br />
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 />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9<br />
<br />
11-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 225/224, 243/242}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
[|1 0 0 0 0&gt;, |25/19 12/19 -6/19 0 0&gt;, <br />
|50/19 -14/19 7/19 0 0&gt;, |55/19 -4/19 2/19 0 0&gt;, <br />
|53/19 30/19 -15/19 0 0&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 10/9<br />
<br />
Map: [&lt;1 1 3 3 2|, &lt;0 6 -7 -2 15|]<br />
<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/175edo">175</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h3&gt; --><h3 id="toc2"><a name="x-Full seven limit children-Rodan"></a><!-- ws:end:WikiTextHeadingRule:4 -->Rodan</h3>
<br />
7-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 245/243}<br />
<br />
7+9 limit minimax tuning: [|1 0 0 0&gt;, |5/3 0 1/6 -1/6&gt;, <br />
|25/9 0 17/18 -17/18&gt;, |25/9 0 -1/18 1/18&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/5<br />
<br />
11-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {441/440, 245/243, 385/384}<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 />
|49/19 34/19 0 0 -17/19&gt;, |53/19 -2/19 0 0 1/19&gt;, <br />
|62/19 -26/19 0 0 13/19&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/9<br />
<br />
Map: [&lt;1 1 -1 3 6|, &lt;0 3 17 -1 -13|]<br />
<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/87edo">87</a>, <a class="wiki_link" href="/128edo">128</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h3&gt; --><h3 id="toc3"><a name="x-Full seven limit children-Valentine"></a><!-- ws:end:WikiTextHeadingRule:6 -->Valentine</h3>
<br />
7-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 126/125}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
7-limit: [|1 0 0 0&gt;, |5/2 3/4 0 -3/4&gt;, <br />
|17/6 5/12 0 -5/12&gt;, [5/2 -1/4 0 1/4&gt;]<br />
9-limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;, <br />
|47/21 10/21 0 -5/21&gt;, |20/7 -2/7 0 1/7&gt;]<br />
<br />
11-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {121/120, 126/125, 176/175}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
[|1 0 0 0 0&gt;, |1 0 0 -9/10 9/10&gt;, <br />
|2 0 0 -1/2 1/2&gt;, |3 0 0 3/10 -3/10&gt;, |3 0 0 -7/10 7/10&gt;]<br />
<br />
Map: [&lt;1 1 2 3 3|, &lt;0 9 5 -3 7|]<br />
<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/77edo">77</a>, <a class="wiki_link" href="/108edo">108</a>, <a class="wiki_link" href="/185edo">185</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h3&gt; --><h3 id="toc4"><a name="x-Full seven limit children-Guiron"></a><!-- ws:end:WikiTextHeadingRule:8 -->Guiron</h3>
<br />
7-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 32805/32768}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
7+9 limit: [|1 0 0 0&gt;, |15/8 0 -1/8 0&gt;, <br />
|0 0 1 0&gt;, |65/24 0 1/24 0&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4<br />
<br />
11-limit:<br />
<a class="wiki_link" href="/Comma">Commas</a>: {385/384, 441/440, 3025/3024}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
[|1 0 0 0 0&gt;, |15/8 0 -1/8 0 0&gt;, <br />
|0 0 1 0 0&gt;, |65/24 0 1/24 0 0&gt;, <br />
|37/6 0 -7/6 0 0&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 5/4<br />
<br />
Map: [&lt;1 1 7 3 -2|, &lt;0 3 -24 -1 28|]<br />
<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/159edo">159</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h3&gt; --><h3 id="toc5"><a name="x-Full seven limit children-Unidec"></a><!-- ws:end:WikiTextHeadingRule:10 -->Unidec</h3>
<br />
7-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 4375/4374}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
7-limit: [|1 0 0 0&gt;, |47/26 0 6/13 -6/13&gt;, <br />
|71/26 0 11/13 -11/13&gt;, |71/26 0 -2/13 2/13&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/5<br />
<br />
9-limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;, <br />
|57/28 11/7 0 -11/14&gt;, |20/7 -2/7 0 1/7&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 9/7<br />
<br />
11-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 4375/4374, 441/440}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
[|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;, |57/28 11/7 0 -11/14 0&gt;,<br />
|20/7 -2/7 0 1/7 0&gt;, |99/28 -3/7 0 3/14 0&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 9/7<br />
<br />
Map: [&lt;2 5 8 5 6|, &lt;0 -6 -11 2 3|]<br />
<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/190edo">190</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h3&gt; --><h3 id="toc6"><a name="x-Full seven limit children-Hemithirds"></a><!-- ws:end:WikiTextHeadingRule:12 -->Hemithirds</h3>
<br />
7-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 3136/3125}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
7-limit: [|1 0 0 0&gt;, |5/2 3/4 0 -3/4&gt;, <br />
|11/5 -1/10 0 1/10&gt;, |5/2 -1/4 0 1/4&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/6<br />
<br />
9-limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;, <br />
|82/35 -4/35 0 2/35&gt;, |20/7 -2/7 0 1/7&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/6<br />
<br />
11-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {385/384, 441/440, 3136/3125}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
[|1 0 0 0 0&gt;, |11/9 0 0 -5/9 5/9&gt;, |64/27 0 0 2/27 -2/27&gt;,<br />
|79/27 0 0 5/27 -5/27&gt;, |79/27 0 0 -22/27 22/27&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 11/7<br />
<br />
Map: [&lt;1 4 2 2 7|, &lt;0 -15 2 5 -22|]<br />
<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/118edo">118</a>, <a class="wiki_link" href="/149edo">149</a><br />
<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h3&gt; --><h3 id="toc7"><a name="x-Full seven limit children-Tritikleismic"></a><!-- ws:end:WikiTextHeadingRule:14 -->Tritikleismic</h3>
<br />
7-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {1029/1024, 15625/15552}<br />
<br />
<a class="wiki_link" href="/Minimax%20tunings">Minimax tunings</a>:<br />
7-limit: [|1 0 0 0&gt;, |2 0 6/7 -6/7&gt;, <br />
|8/3 0 5/7 -5/7&gt;, |8/3 0 -2/7 2/7&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 7/5<br />
<br />
9-limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;, <br />
|46/21 5/7 0 -5/14&gt;, |20/7 -2/7 0 1/7&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 9/7<br />
<br />
11-limit<br />
<a class="wiki_link" href="/Comma">Commas</a>: {385/384, 441/440, 4000/3993}<br />
<br />
<a class="wiki_link" href="/Minimax%20tuning">Minimax tuning</a>:<br />
[|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;, |46/21 5/7 0 -5/14 0&gt;, <br />
|20/7 -2/7 0 1/7 0&gt;, |71/21 3/7 0 -3/14 0&gt;]<br />
<a class="wiki_link" href="/Eigenmonzo">Eigenmonzos</a>: 2, 9/7<br />
<br />
<a class="wiki_link" href="/edo">Edos</a>: <a class="wiki_link" href="/72edo">72</a>, <a class="wiki_link" href="/159edo">159</a>, <a class="wiki_link" href="/231edo">231</a></body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2010-09-20 01:32:55 UTC</tt>.<br>
+: This revision was by author [[User:xenwolf|xenwolf]] and made on <tt>2010-09-26 11:04:05 UTC</tt>.<br>
-: The original revision id was <tt>163852437</tt>.<br>
+: The original revision id was <tt>165456959</tt>.<br>
-: The revision comment was: <tt></tt><br>
+: The revision comment was: <tt>links added</tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
 <h4>Original Wikitext content:</h4>
@@ Line 15: / Line 15: @@
 -limit
-Commas {1029/1024, 225/224}
+[[Comma|Commas]]: {1029/1024, 225/224}
-Minimax tuning:
+[[Minimax tuning]]:
 -limit: [|1 0 0 0&gt;, |25/13 6/13 -6/13 0&gt;,
 |25/13 -7/13 7/13 0&gt;, |35/13 -2/13 2/13 0&gt;]
-Eigenmonzos: 2, 6/5
+[[Eigenmonzo|Eigenmonzos]]: 2, 6/5
 -limit:  [|1 0 0 0&gt;, |25/19 12/19 -6/19 0&gt;,
 |50/19 -14/19 7/19 0&gt;, |55/19 -4/19 2/19 0&gt;]
-Eigenmonzos: 2, 10/9
+[[Eigenmonzo|Eigenmonzos]]: 2, 10/9
 -limit
-Commas {1029/1024, 225/224, 243/242}
+[[Comma|Commas]]: {1029/1024, 225/224, 243/242}
-Minimax tuning:
+[[Minimax tuning]]:
 [|1 0 0 0 0&gt;, |25/19 12/19 -6/19 0 0&gt;,
 |50/19 -14/19 7/19 0 0&gt;, |55/19 -4/19 2/19 0 0&gt;,
 |53/19 30/19 -15/19 0 0&gt;]
-Eigenmonzos: 2, 10/9
+[[Eigenmonzo|Eigenmonzos]]: 2, 10/9
 Map: [&lt;1 1 3 3 2|, &lt;0 6 -7 -2 15|]
-Edos: 72, 175
+[[edo|Edos]]: [[72edo|72]], [[175edo|175]]
 ===Rodan===
 -limit
-Commas {1029/1024, 245/243}
+[[Comma|Commas]]: {1029/1024, 245/243}
 +9 limit minimax tuning: [|1 0 0 0&gt;, |5/3 0 1/6 -1/6&gt;,
 |25/9 0 17/18 -17/18&gt;, |25/9 0 -1/18 1/18&gt;]
-Eigenmonzos: 2, 7/5
+[[Eigenmonzo|Eigenmonzos]]: 2, 7/5
 -limit
-Commas {441/440, 245/243, 385/384}
+[[Comma|Commas]]: {441/440, 245/243, 385/384}
-Minimax tuning: [|1 0 0 0 0&gt;, |31/19 6/19 0 0 -3/19&gt;,
+[[Minimax tuning]]: [|1 0 0 0 0&gt;, |31/19 6/19 0 0 -3/19&gt;,
 |49/19 34/19 0 0 -17/19&gt;, |53/19 -2/19 0 0 1/19&gt;,
 |62/19 -26/19 0 0 13/19&gt;]
-Eigenmonzos: 2, 11/9
+[[Eigenmonzo|Eigenmonzos]]: 2, 11/9
 Map: [&lt;1 1 -1 3 6|, &lt;0 3 17 -1 -13|]
-Edos: 87, 128
+[[edo|Edos]]: [[87edo|87]], [[128edo|128]]
 ===Valentine===
 -limit
-Commas: {1029/1024, 126/125}
+[[Comma|Commas]]: {1029/1024, 126/125}
-Minimax tuning:
+[[Minimax tuning]]:
 -limit: [|1 0 0 0&gt;, |5/2 3/4 0 -3/4&gt;,
 |17/6 5/12 0 -5/12&gt;, [5/2 -1/4 0 1/4&gt;]
@@ Line 72: / Line 72: @@
 -limit
-Commas: {121/120, 126/125, 176/175}
+[[Comma|Commas]]: {121/120, 126/125, 176/175}
-Minimax tuning:
+[[Minimax tuning]]:
 [|1 0 0 0 0&gt;, |1 0 0 -9/10 9/10&gt;,
 |2 0 0 -1/2 1/2&gt;, |3 0 0 3/10 -3/10&gt;, |3 0 0 -7/10 7/10&gt;]
@@ Line 80: / Line 80: @@
 Map: [&lt;1 1 2 3 3|, &lt;0 9 5 -3 7|]
-Edos: 77, 108, 185
+[[edo|Edos]]: [[77edo|77]], [[108edo|108]], [[185edo|185]]
 ===Guiron===
 -limit
-Commas: {1029/1024, 32805/32768}
+[[Comma|Commas]]: {1029/1024, 32805/32768}
-Minimax tuning:
+[[Minimax tuning]]:
 +9 limit: [|1 0 0 0&gt;, |15/8 0 -1/8 0&gt;,
 |0 0 1 0&gt;, |65/24 0 1/24 0&gt;]
-Eigenmonzos: 2, 5/4
+[[Eigenmonzo|Eigenmonzos]]: 2, 5/4
 -limit:
-Commas: {385/384, 441/440, 3025/3024}
+[[Comma|Commas]]: {385/384, 441/440, 3025/3024}
-Minimax tuning:
+[[Minimax tuning]]:
 [|1 0 0 0 0&gt;, |15/8 0 -1/8 0 0&gt;,
 |0 0 1 0 0&gt;, |65/24 0 1/24 0 0&gt;,
 |37/6 0 -7/6 0 0&gt;]
-Eigenmonzos: 2, 5/4
+[[Eigenmonzo|Eigenmonzos]]: 2, 5/4
 Map: [&lt;1 1 7 3 -2|, &lt;0 3 -24 -1 28|]
-Edos: 118, 159
+[[edo|Edos]]: [[118edo|118]], [[159edo|159]]
 ===Unidec===
 -limit
-Commas: {1029/1024, 4375/4374}
+[[Comma|Commas]]: {1029/1024, 4375/4374}
-Minimax tuning:
+[[Minimax tuning]]:
 -limit: [|1 0 0 0&gt;, |47/26 0 6/13 -6/13&gt;,
 |71/26 0 11/13 -11/13&gt;, |71/26 0 -2/13 2/13&gt;]
-Eigenmonzos: 2, 7/5
+[[Eigenmonzo|Eigenmonzos]]: 2, 7/5
 -limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;,
 |57/28 11/7 0 -11/14&gt;, |20/7 -2/7 0 1/7&gt;]
-Eigenmonzos: 2, 9/7
+[[Eigenmonzo|Eigenmonzos]]: 2, 9/7
 -limit
-Commas: {1029/1024, 4375/4374, 441/440}
+[[Comma|Commas]]: {1029/1024, 4375/4374, 441/440}
-Minimax tuning:
+[[Minimax tuning]]:
 [|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;, |57/28 11/7 0 -11/14 0&gt;,
 |20/7 -2/7 0 1/7 0&gt;, |99/28 -3/7 0 3/14 0&gt;]
-Eigenmonzos: 2, 9/7
+[[Eigenmonzo|Eigenmonzos]]: 2, 9/7
 Map: [&lt;2 5 8 5 6|, &lt;0 -6 -11 2 3|]
-Edos: 118, 190
+[[edo|Edos]]: [[118edo|118]], [[190edo|190]]
 ===Hemithirds===
 -limit
-Commas: {1029/1024, 3136/3125}
+[[Comma|Commas]]: {1029/1024, 3136/3125}
-Minimax tuning:
+[[Minimax tuning]]:
 -limit: [|1 0 0 0&gt;, |5/2 3/4 0 -3/4&gt;,
 |11/5 -1/10 0 1/10&gt;, |5/2 -1/4 0 1/4&gt;]
-Eigenmonzos: 2, 7/6
+[[Eigenmonzo|Eigenmonzos]]: 2, 7/6
 -limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;,
 |82/35 -4/35 0 2/35&gt;, |20/7 -2/7 0 1/7&gt;]
-Eigenmonzos: 2, 7/6
+[[Eigenmonzo|Eigenmonzos]]: 2, 7/6
 -limit
-Commas: {385/384, 441/440, 3136/3125}
+[[Comma|Commas]]: {385/384, 441/440, 3136/3125}
-Minimax tuning:
+[[Minimax tuning]]:
 [|1 0 0 0 0&gt;, |11/9 0 0 -5/9 5/9&gt;, |64/27 0 0 2/27 -2/27&gt;,
 |79/27 0 0 5/27 -5/27&gt;, |79/27 0 0 -22/27 22/27&gt;]
-Eigenmonzos: 2, 11/7
+[[Eigenmonzo|Eigenmonzos]]: 2, 11/7
 Map: [&lt;1 4 2 2 7|, &lt;0 -15 2 5 -22|]
-Edos: 118, 149
+[[edo|Edos]]: [[118edo|118]], [[149edo|149]]
 ===Tritikleismic===
 -limit
-Commas: {1029/1024, 15625/15552}
+[[Comma|Commas]]: {1029/1024, 15625/15552}
-Minimax tunings:
+[[Minimax tunings]]:
 -limit: [|1 0 0 0&gt;, |2 0 6/7 -6/7&gt;,
 |8/3 0 5/7 -5/7&gt;, |8/3 0 -2/7 2/7&gt;]
-Eigenmonzos: 2, 7/5
+[[Eigenmonzo|Eigenmonzos]]: 2, 7/5
 -limit: [|1 0 0 0&gt;, |10/7 6/7 0 -3/7&gt;,
 |46/21 5/7 0 -5/14&gt;, |20/7 -2/7 0 1/7&gt;]
-Eigenmonzos: 2, 9/7
+[[Eigenmonzo|Eigenmonzos]]: 2, 9/7
 -limit
-Commas: {385/384, 441/440, 4000/3993}
+[[Comma|Commas]]: {385/384, 441/440, 4000/3993}
-Minimax tuning:
+[[Minimax tuning]]:
 [|1 0 0 0 0&gt;, |10/7 6/7 0 -3/7 0&gt;, |46/21 5/7 0 -5/14 0&gt;,
 |20/7 -2/7 0 1/7 0&gt;, |71/21 3/7 0 -3/14 0&gt;]
-Eigenmonzos: 2, 9/7
+[[Eigenmonzo|Eigenmonzos]]: 2, 9/7
-Edos: 72, 159, 231</pre></div>
+[[edo|Edos]]: [[72edo|72]], [[159edo|159]], [[231edo|231]]</pre></div>
 <h4>Original HTML content:</h4>
 <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Gamelismic clan&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The [2,3,5]-&lt;a class="wiki_link" href="/Just%20intonation%20subgroups"&gt;subgroup&lt;/a&gt; comma for the gamelismic clan is the gamelisma, 1029/1024, with monzo |-10 1 0 3&amp;gt;. For any member of the clan, and for the gamelismic temperament itself, 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.&lt;br /&gt;
@@ Line 190: / Line 190: @@
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas {1029/1024, 225/224}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {1029/1024, 225/224}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 -limit: [|1 0 0 0&amp;gt;, |25/13 6/13 -6/13 0&amp;gt;, &lt;br /&gt;
 |25/13 -7/13 7/13 0&amp;gt;, |35/13 -2/13 2/13 0&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 6/5&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 6/5&lt;br /&gt;
 &lt;br /&gt;
 -limit:  [|1 0 0 0&amp;gt;, |25/19 12/19 -6/19 0&amp;gt;, &lt;br /&gt;
 |50/19 -14/19 7/19 0&amp;gt;, |55/19 -4/19 2/19 0&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 10/9&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9&lt;br /&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas {1029/1024, 225/224, 243/242}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {1029/1024, 225/224, 243/242}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 [|1 0 0 0 0&amp;gt;, |25/19 12/19 -6/19 0 0&amp;gt;, &lt;br /&gt;
 |50/19 -14/19 7/19 0 0&amp;gt;, |55/19 -4/19 2/19 0 0&amp;gt;, &lt;br /&gt;
 |53/19 30/19 -15/19 0 0&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 10/9&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 10/9&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 3 3 2|, &amp;lt;0 6 -7 -2 15|]&lt;br /&gt;
 &lt;br /&gt;
-Edos: 72, 175&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/175edo"&gt;175&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc2"&gt;&lt;a name="x-Full seven limit children-Rodan"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;Rodan&lt;/h3&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas {1029/1024, 245/243}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {1029/1024, 245/243}&lt;br /&gt;
 &lt;br /&gt;
 +9 limit minimax tuning: [|1 0 0 0&amp;gt;, |5/3 0 1/6 -1/6&amp;gt;, &lt;br /&gt;
 |25/9 0 17/18 -17/18&amp;gt;, |25/9 0 -1/18 1/18&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 7/5&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/5&lt;br /&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas {441/440, 245/243, 385/384}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {441/440, 245/243, 385/384}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning: [|1 0 0 0 0&amp;gt;, |31/19 6/19 0 0 -3/19&amp;gt;, &lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;: [|1 0 0 0 0&amp;gt;, |31/19 6/19 0 0 -3/19&amp;gt;, &lt;br /&gt;
 |49/19 34/19 0 0 -17/19&amp;gt;, |53/19 -2/19 0 0 1/19&amp;gt;, &lt;br /&gt;
 |62/19 -26/19 0 0 13/19&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 11/9&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/9&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 -1 3 6|, &amp;lt;0 3 17 -1 -13|]&lt;br /&gt;
 &lt;br /&gt;
-Edos: 87, 128&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/87edo"&gt;87&lt;/a&gt;, &lt;a class="wiki_link" href="/128edo"&gt;128&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc3"&gt;&lt;a name="x-Full seven limit children-Valentine"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;Valentine&lt;/h3&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas: {1029/1024, 126/125}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {1029/1024, 126/125}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 -limit: [|1 0 0 0&amp;gt;, |5/2 3/4 0 -3/4&amp;gt;, &lt;br /&gt;
 |17/6 5/12 0 -5/12&amp;gt;, [5/2 -1/4 0 1/4&amp;gt;]&lt;br /&gt;
@@ Line 247: / Line 247: @@
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas: {121/120, 126/125, 176/175}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {121/120, 126/125, 176/175}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 [|1 0 0 0 0&amp;gt;, |1 0 0 -9/10 9/10&amp;gt;, &lt;br /&gt;
 |2 0 0 -1/2 1/2&amp;gt;, |3 0 0 3/10 -3/10&amp;gt;, |3 0 0 -7/10 7/10&amp;gt;]&lt;br /&gt;
@@ Line 255: / Line 255: @@
 Map: [&amp;lt;1 1 2 3 3|, &amp;lt;0 9 5 -3 7|]&lt;br /&gt;
 &lt;br /&gt;
-Edos: 77, 108, 185&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/77edo"&gt;77&lt;/a&gt;, &lt;a class="wiki_link" href="/108edo"&gt;108&lt;/a&gt;, &lt;a class="wiki_link" href="/185edo"&gt;185&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc4"&gt;&lt;a name="x-Full seven limit children-Guiron"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;Guiron&lt;/h3&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas: {1029/1024, 32805/32768}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {1029/1024, 32805/32768}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 +9 limit: [|1 0 0 0&amp;gt;, |15/8 0 -1/8 0&amp;gt;, &lt;br /&gt;
 |0 0 1 0&amp;gt;, |65/24 0 1/24 0&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 5/4&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 5/4&lt;br /&gt;
 &lt;br /&gt;
 -limit:&lt;br /&gt;
-Commas: {385/384, 441/440, 3025/3024}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {385/384, 441/440, 3025/3024}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 [|1 0 0 0 0&amp;gt;, |15/8 0 -1/8 0 0&amp;gt;, &lt;br /&gt;
 |0 0 1 0 0&amp;gt;, |65/24 0 1/24 0 0&amp;gt;, &lt;br /&gt;
 |37/6 0 -7/6 0 0&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 5/4&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 5/4&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 1 7 3 -2|, &amp;lt;0 3 -24 -1 28|]&lt;br /&gt;
 &lt;br /&gt;
-Edos: 118, 159&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/159edo"&gt;159&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc5"&gt;&lt;a name="x-Full seven limit children-Unidec"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Unidec&lt;/h3&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas: {1029/1024, 4375/4374}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {1029/1024, 4375/4374}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 -limit: [|1 0 0 0&amp;gt;, |47/26 0 6/13 -6/13&amp;gt;, &lt;br /&gt;
 |71/26 0 11/13 -11/13&amp;gt;, |71/26 0 -2/13 2/13&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 7/5&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/5&lt;br /&gt;
 &lt;br /&gt;
 -limit: [|1 0 0 0&amp;gt;, |10/7 6/7 0 -3/7&amp;gt;, &lt;br /&gt;
 |57/28 11/7 0 -11/14&amp;gt;, |20/7 -2/7 0 1/7&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 9/7&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 9/7&lt;br /&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas: {1029/1024, 4375/4374, 441/440}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {1029/1024, 4375/4374, 441/440}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 [|1 0 0 0 0&amp;gt;, |10/7 6/7 0 -3/7 0&amp;gt;, |57/28 11/7 0 -11/14 0&amp;gt;,&lt;br /&gt;
 |20/7 -2/7 0 1/7 0&amp;gt;, |99/28 -3/7 0 3/14 0&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 9/7&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 9/7&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;2 5 8 5 6|, &amp;lt;0 -6 -11 2 3|]&lt;br /&gt;
 &lt;br /&gt;
-Edos: 118, 190&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/190edo"&gt;190&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc6"&gt;&lt;a name="x-Full seven limit children-Hemithirds"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;Hemithirds&lt;/h3&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas: {1029/1024, 3136/3125}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {1029/1024, 3136/3125}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 -limit: [|1 0 0 0&amp;gt;, |5/2 3/4 0 -3/4&amp;gt;, &lt;br /&gt;
 |11/5 -1/10 0 1/10&amp;gt;, |5/2 -1/4 0 1/4&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 7/6&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/6&lt;br /&gt;
 &lt;br /&gt;
 -limit: [|1 0 0 0&amp;gt;, |10/7 6/7 0 -3/7&amp;gt;, &lt;br /&gt;
 |82/35 -4/35 0 2/35&amp;gt;, |20/7 -2/7 0 1/7&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 7/6&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/6&lt;br /&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas: {385/384, 441/440, 3136/3125}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {385/384, 441/440, 3136/3125}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 [|1 0 0 0 0&amp;gt;, |11/9 0 0 -5/9 5/9&amp;gt;, |64/27 0 0 2/27 -2/27&amp;gt;,&lt;br /&gt;
 |79/27 0 0 5/27 -5/27&amp;gt;, |79/27 0 0 -22/27 22/27&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 11/7&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 11/7&lt;br /&gt;
 &lt;br /&gt;
 Map: [&amp;lt;1 4 2 2 7|, &amp;lt;0 -15 2 5 -22|]&lt;br /&gt;
 &lt;br /&gt;
-Edos: 118, 149&lt;br /&gt;
+&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/118edo"&gt;118&lt;/a&gt;, &lt;a class="wiki_link" href="/149edo"&gt;149&lt;/a&gt;&lt;br /&gt;
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h3&amp;gt; --&gt;&lt;h3 id="toc7"&gt;&lt;a name="x-Full seven limit children-Tritikleismic"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;Tritikleismic&lt;/h3&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas: {1029/1024, 15625/15552}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {1029/1024, 15625/15552}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tunings:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tunings"&gt;Minimax tunings&lt;/a&gt;:&lt;br /&gt;
 -limit: [|1 0 0 0&amp;gt;, |2 0 6/7 -6/7&amp;gt;, &lt;br /&gt;
 |8/3 0 5/7 -5/7&amp;gt;, |8/3 0 -2/7 2/7&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 7/5&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 7/5&lt;br /&gt;
 &lt;br /&gt;
 -limit: [|1 0 0 0&amp;gt;, |10/7 6/7 0 -3/7&amp;gt;, &lt;br /&gt;
 |46/21 5/7 0 -5/14&amp;gt;, |20/7 -2/7 0 1/7&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 9/7&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 9/7&lt;br /&gt;
 &lt;br /&gt;
 -limit&lt;br /&gt;
-Commas: {385/384, 441/440, 4000/3993}&lt;br /&gt;
+&lt;a class="wiki_link" href="/Comma"&gt;Commas&lt;/a&gt;: {385/384, 441/440, 4000/3993}&lt;br /&gt;
 &lt;br /&gt;
-Minimax tuning:&lt;br /&gt;
+&lt;a class="wiki_link" href="/Minimax%20tuning"&gt;Minimax tuning&lt;/a&gt;:&lt;br /&gt;
 [|1 0 0 0 0&amp;gt;, |10/7 6/7 0 -3/7 0&amp;gt;, |46/21 5/7 0 -5/14 0&amp;gt;, &lt;br /&gt;
 |20/7 -2/7 0 1/7 0&amp;gt;, |71/21 3/7 0 -3/14 0&amp;gt;]&lt;br /&gt;
-Eigenmonzos: 2, 9/7&lt;br /&gt;
+&lt;a class="wiki_link" href="/Eigenmonzo"&gt;Eigenmonzos&lt;/a&gt;: 2, 9/7&lt;br /&gt;
 &lt;br /&gt;
-Edos: 72, 159, 231&lt;/body&gt;&lt;/html&gt;</pre></div>
+&lt;a class="wiki_link" href="/edo"&gt;Edos&lt;/a&gt;: &lt;a class="wiki_link" href="/72edo"&gt;72&lt;/a&gt;, &lt;a class="wiki_link" href="/159edo"&gt;159&lt;/a&gt;, &lt;a class="wiki_link" href="/231edo"&gt;231&lt;/a&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Gamelismic clan: Difference between revisions

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