2a5b * 3a4b: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
[[Product_word|Product word]] scale pattern of 2a5b (either [[2L_5s|2L 5s]] or [[5L_2s|5L 2s]]) and 3a4b ([[3L_4s|3L 4s]] or [[4L_3s|4L 3s]]).
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
 
: This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2012-03-20 08:21:56 UTC</tt>.<br>
: The original revision id was <tt>312753680</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>
<h4>Original Wikitext 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;white-space: pre-wrap ! important" class="old-revision-html">[[Product word]] scale pattern of 2a5b (either [[2L 5s]] or [[5L 2s]]) and 3a4b ([[3L 4s]] or [[4L 3s]]).
There are 7 [[Dome|domes]], each with 7 modes:
There are 7 [[Dome|domes]], each with 7 modes:
* abacabc - triple wakalix with 2a5b as a factor in two different ways
 
** Probably most notable for the "JI major scale" tuning of this pattern: a=9/8, b=10/9, c=16/15
<ul><li>abacabc - triple wakalix with 2a5b as a factor in two different ways<ul><li>Probably most notable for the "JI major scale" tuning of this pattern: a=9/8, b=10/9, c=16/15</li></ul></li><li>Inverse of above, gives "JI minor scale"</li><li>aabacab - triple wakalix with 1a6b (either [[1L_6s|1L 6s]] or [[6L_1s|6L 1s]]) as third factor<ul><li>The tuning a=10/9, b=27/25, c=9/8 is a meantone-dicot-porcupine triple wakalix, and has various names including "Al-Farabi diatonic"</li><li>The tuning a=16/15, b=9/8, c=75/64 is a mavila-dicot-enipucrop triple wakalix, and also has various names including "JI double harmonic scale", "Arabic scale", "Byzantine scale", "Byzantine liturgical soft chromatic", and so on. The marvel-tempered version has several intervals of 7 in it (75/64~7/6).</li></ul></li><li>abacadc</li><li>abacabd (inverse of above)</li><li>aabacdc</li><li>aabcbad (inverse of above)</li></ul>
* Inverse of above, gives "JI minor scale"
* aabacab - triple wakalix with 1a6b (either [[1L 6s]] or [[6L 1s]]) as third factor
** The tuning a=10/9, b=27/25, c=9/8 is a meantone-dicot-porcupine triple wakalix, and has various names including "Al-Farabi diatonic"
** The tuning a=16/15, b=9/8, c=75/64 is a mavila-dicot-enipucrop triple wakalix, and also has various names including "JI double harmonic scale", "Arabic scale", "Byzantine scale", "Byzantine liturgical soft chromatic", and so on. The marvel-tempered version has several intervals of 7 in it (75/64~7/6).
* abacadc
* abacabd (inverse of above)
* aabacdc
* aabcbad (inverse of above)</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;2a5b * 3a4b&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;a class="wiki_link" href="/Product%20word"&gt;Product word&lt;/a&gt; scale pattern of 2a5b (either &lt;a class="wiki_link" href="/2L%205s"&gt;2L 5s&lt;/a&gt; or &lt;a class="wiki_link" href="/5L%202s"&gt;5L 2s&lt;/a&gt;) and 3a4b (&lt;a class="wiki_link" href="/3L%204s"&gt;3L 4s&lt;/a&gt; or &lt;a class="wiki_link" href="/4L%203s"&gt;4L 3s&lt;/a&gt;).&lt;br /&gt;
There are 7 &lt;a class="wiki_link" href="/Dome"&gt;domes&lt;/a&gt;, each with 7 modes:&lt;br /&gt;
&lt;ul&gt;&lt;li&gt;abacabc - triple wakalix with 2a5b as a factor in two different ways&lt;ul&gt;&lt;li&gt;Probably most notable for the &amp;quot;JI major scale&amp;quot; tuning of this pattern: a=9/8, b=10/9, c=16/15&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;Inverse of above, gives &amp;quot;JI minor scale&amp;quot;&lt;/li&gt;&lt;li&gt;aabacab - triple wakalix with 1a6b (either &lt;a class="wiki_link" href="/1L%206s"&gt;1L 6s&lt;/a&gt; or &lt;a class="wiki_link" href="/6L%201s"&gt;6L 1s&lt;/a&gt;) as third factor&lt;ul&gt;&lt;li&gt;The tuning a=10/9, b=27/25, c=9/8 is a meantone-dicot-porcupine triple wakalix, and has various names including &amp;quot;Al-Farabi diatonic&amp;quot;&lt;/li&gt;&lt;li&gt;The tuning a=16/15, b=9/8, c=75/64 is a mavila-dicot-enipucrop triple wakalix, and also has various names including &amp;quot;JI double harmonic scale&amp;quot;, &amp;quot;Arabic scale&amp;quot;, &amp;quot;Byzantine scale&amp;quot;, &amp;quot;Byzantine liturgical soft chromatic&amp;quot;, and so on. The marvel-tempered version has several intervals of 7 in it (75/64~7/6).&lt;/li&gt;&lt;/ul&gt;&lt;/li&gt;&lt;li&gt;abacadc&lt;/li&gt;&lt;li&gt;abacabd (inverse of above)&lt;/li&gt;&lt;li&gt;aabacdc&lt;/li&gt;&lt;li&gt;aabcbad (inverse of above)&lt;/li&gt;&lt;/ul&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>

Revision as of 00:00, 17 July 2018

Product word scale pattern of 2a5b (either 2L 5s or 5L 2s) and 3a4b (3L 4s or 4L 3s).

There are 7 domes, each with 7 modes:

  • abacabc - triple wakalix with 2a5b as a factor in two different ways
    • Probably most notable for the "JI major scale" tuning of this pattern: a=9/8, b=10/9, c=16/15
  • Inverse of above, gives "JI minor scale"
  • aabacab - triple wakalix with 1a6b (either 1L 6s or 6L 1s) as third factor
    • The tuning a=10/9, b=27/25, c=9/8 is a meantone-dicot-porcupine triple wakalix, and has various names including "Al-Farabi diatonic"
    • The tuning a=16/15, b=9/8, c=75/64 is a mavila-dicot-enipucrop triple wakalix, and also has various names including "JI double harmonic scale", "Arabic scale", "Byzantine scale", "Byzantine liturgical soft chromatic", and so on. The marvel-tempered version has several intervals of 7 in it (75/64~7/6).
  • abacadc
  • abacabd (inverse of above)
  • aabacdc
  • aabcbad (inverse of above)