The Archipelago: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>

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

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-12 13:39:36 UTC</tt>.

: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-12 13:49:53 UTC</tt>.

: The original revision id was <tt>~~201164244~~</tt>.

: The original revision id was <tt>201165856</tt>.

: The revision comment was: <tt></tt>

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

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Commas: 676/675

Perhaps the simplest method of making use of the barbados triad and other characteristic island harmonies is to strip things down to essentials by tempering the 2.3.13/5 [[Just intonation subgroups|just intontation subgroup]]. The minimax tuning for this makes the generator 2/sqrt(3), or 249.0225 cents. EDOs which may be used for it are [[24edo]], [[29edo]], [[53edo]] and [[~~135edo~~]], with MOS of size 5, 9, 14, 19, 24 and 29 making for a good variety of scales.

Perhaps the simplest method of making use of the barbados triad and other characteristic island harmonies is to strip things down to essentials by tempering the 2.3.13/5 [[Just intonation subgroups|just intontation subgroup]]. The minimax tuning for this makes the generator 2/sqrt(3), or 249.0225 cents. EDOs which may be used for it are [[24edo]], [[29edo]], [[53edo]] and [[111edo]], with MOS of size 5, 9, 14, 19, 24 and 29 making for a good variety of scales.

[[POTE tuning|POTE generator]]: ~15/13 = 248.621

[[Smonzos and Svals|Sval map]]: [<1 0 -1|, <0 2 3|]

EDOs: 5, 14, 19, 24, 29, 82, 111, 251, 362

EDOs: 5, 9, 14, 19, 24, 29, 53, 82, 111, 140, 251, 362

Badness: 0.002335

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Commas: 676/675

Perhaps the simplest method of making use of the barbados triad and other characteristic island harmonies is to strip things down to essentials by tempering the 2.3.13/5 <a class="wiki_link" href="/Just%20intonation%20subgroups">just intontation subgroup</a>. The minimax tuning for this makes the generator 2/sqrt(3), or 249.0225 cents. EDOs which may be used for it are <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/29edo">29edo</a>, <a class="wiki_link" href="/53edo">53edo</a> and <a class="wiki_link" href="/~~135edo~~">~~135edo~~</a>, with MOS of size 5, 9, 14, 19, 24 and 29 making for a good variety of scales.

Perhaps the simplest method of making use of the barbados triad and other characteristic island harmonies is to strip things down to essentials by tempering the 2.3.13/5 <a class="wiki_link" href="/Just%20intonation%20subgroups">just intontation subgroup</a>. The minimax tuning for this makes the generator 2/sqrt(3), or 249.0225 cents. EDOs which may be used for it are <a class="wiki_link" href="/24edo">24edo</a>, <a class="wiki_link" href="/29edo">29edo</a>, <a class="wiki_link" href="/53edo">53edo</a> and <a class="wiki_link" href="/111edo">111edo</a>, with MOS of size 5, 9, 14, 19, 24 and 29 making for a good variety of scales.

<a class="wiki_link" href="/POTE%20tuning">POTE generator</a>: ~15/13 = 248.621

<a class="wiki_link" href="/Smonzos%20and%20Svals">Sval map</a>: [&lt;1 0 -1|, &lt;0 2 3|]

EDOs: 5, 14, 19, 24, 29, 82, 111, 251, 362

EDOs: 5, 9, 14, 19, 24, 29, 53, 82, 111, 140, 251, 362

Badness: 0.002335

@@ 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>2011-02-12 13:39:36 UTC</tt>.<br>
+: This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-02-12 13:49:53 UTC</tt>.<br>
-: The original revision id was <tt>201164244</tt>.<br>
+: The original revision id was <tt>201165856</tt>.<br>
 : The revision comment was: <tt></tt><br>
 The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
@@ Line 87: / Line 87: @@
 Commas: 676/675
-Perhaps the simplest method of making use of the barbados triad and other characteristic island harmonies is to strip things down to essentials by tempering the 2.3.13/5 [[Just intonation subgroups|just intontation subgroup]]. The minimax tuning for this makes the generator 2/sqrt(3), or 249.0225 cents. EDOs which may be used for it are [[24edo]], [[29edo]], [[53edo]] and [[135edo]], with MOS of size 5, 9, 14, 19, 24 and 29 making for a good variety of scales.
+Perhaps the simplest method of making use of the barbados triad and other characteristic island harmonies is to strip things down to essentials by tempering the 2.3.13/5 [[Just intonation subgroups|just intontation subgroup]]. The minimax tuning for this makes the generator 2/sqrt(3), or 249.0225 cents. EDOs which may be used for it are [[24edo]], [[29edo]], [[53edo]] and [[111edo]], with MOS of size 5, 9, 14, 19, 24 and 29 making for a good variety of scales.
 [[POTE tuning|POTE generator]]: ~15/13 = 248.621
 [[Smonzos and Svals|Sval map]]: [&lt;1 0 -1|, &lt;0 2 3|]
-EDOs: 5, 14, 19, 24, 29, 82, 111, 251, 362
+EDOs: 5, 9, 14, 19, 24, 29, 53, 82, 111, 140, 251, 362
 Badness: 0.002335
@@ Line 199: / Line 199: @@
 Commas: 676/675&lt;br /&gt;
 &lt;br /&gt;
-Perhaps the simplest method of making use of the barbados triad and other characteristic island harmonies is to strip things down to essentials by tempering the 2.3.13/5 &lt;a class="wiki_link" href="/Just%20intonation%20subgroups"&gt;just intontation subgroup&lt;/a&gt;. The minimax tuning for this makes the generator 2/sqrt(3), or 249.0225 cents. EDOs which may be used for it are &lt;a class="wiki_link" href="/24edo"&gt;24edo&lt;/a&gt;, &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt; and &lt;a class="wiki_link" href="/135edo"&gt;135edo&lt;/a&gt;, with MOS of size 5, 9, 14, 19, 24 and 29 making for a good variety of scales.&lt;br /&gt;
+Perhaps the simplest method of making use of the barbados triad and other characteristic island harmonies is to strip things down to essentials by tempering the 2.3.13/5 &lt;a class="wiki_link" href="/Just%20intonation%20subgroups"&gt;just intontation subgroup&lt;/a&gt;. The minimax tuning for this makes the generator 2/sqrt(3), or 249.0225 cents. EDOs which may be used for it are &lt;a class="wiki_link" href="/24edo"&gt;24edo&lt;/a&gt;, &lt;a class="wiki_link" href="/29edo"&gt;29edo&lt;/a&gt;, &lt;a class="wiki_link" href="/53edo"&gt;53edo&lt;/a&gt; and &lt;a class="wiki_link" href="/111edo"&gt;111edo&lt;/a&gt;, with MOS of size 5, 9, 14, 19, 24 and 29 making for a good variety of scales.&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/POTE%20tuning"&gt;POTE generator&lt;/a&gt;: ~15/13 = 248.621&lt;br /&gt;
 &lt;br /&gt;
 &lt;a class="wiki_link" href="/Smonzos%20and%20Svals"&gt;Sval map&lt;/a&gt;: [&amp;lt;1 0 -1|, &amp;lt;0 2 3|]&lt;br /&gt;
-EDOs: 5, 14, 19, 24, 29, 82, 111, 251, 362&lt;br /&gt;
+EDOs: 5, 9, 14, 19, 24, 29, 53, 82, 111, 140, 251, 362&lt;br /&gt;
 Badness: 0.002335&lt;br /&gt;
 &lt;br /&gt;