Harry Partch related scales: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
[[Harry Partch]] was an influential composer, musician, theorist and instrument maker. He was also an influential [[scalesmith]], and this page documents some of the scales he made whether directly or indirectly.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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: The original revision id was <tt>314158410</tt>.<br>
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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">The famous Partch scale is his 43 note Genesis or "pure" scale. The Wikipedia article on it is [[http://en.wikipedia.org/wiki/Harry_Partch's_43-tone_scale|here]], and the scale itself [[partch_43|here]]. Other Partch scales are his 29-note [[partch_29-av|adapted viola scale]], his 37-note [[partch_37|draft exposition scale]], his 41 note  [[partch_41a|exposition scale]] and his 43-note [[partch_43a|exposition scale]].


By removing 11/10 and 20/11 from the Genesis scale, we obtain a 41 note scale which can be called Genesis Minus; this scale is close to being a [[Fokker blocks|Fokker block]] and can be tweaked into one, for instance by [[garimagrodmonk|this scale]]. A 58 note scale is as small as possible for an epimorphic scale containing Genesis, for example [[genesisplus|this one]].</pre></div>
== Scales made by Partch himself ==
<h4>Original HTML content:</h4>
{{Wikipedia|Harry Partch's 43-tone scale}}
<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;Harry Partch related scales&lt;/title&gt;&lt;/head&gt;&lt;body&gt;The famous Partch scale is his 43 note Genesis or &amp;quot;pure&amp;quot; scale. The Wikipedia article on it is &lt;a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Harry_Partch's_43-tone_scale" rel="nofollow"&gt;here&lt;/a&gt;, and the scale itself &lt;a class="wiki_link" href="/partch_43"&gt;here&lt;/a&gt;. Other Partch scales are his 29-note &lt;a class="wiki_link" href="/partch_29-av"&gt;adapted viola scale&lt;/a&gt;, his 37-note &lt;a class="wiki_link" href="/partch_37"&gt;draft exposition scale&lt;/a&gt;, his 41 note &lt;a class="wiki_link" href="/partch_41a"&gt;exposition scale&lt;/a&gt; and his 43-note &lt;a class="wiki_link" href="/partch_43a"&gt;exposition scale&lt;/a&gt;.&lt;br /&gt;
The famous Partch scale is his 43 note [[partch_43|Genesis scale]] or "pure" scale.
&lt;br /&gt;
 
By removing 11/10 and 20/11 from the Genesis scale, we obtain a 41 note scale which can be called Genesis Minus; this scale is close to being a &lt;a class="wiki_link" href="/Fokker%20blocks"&gt;Fokker block&lt;/a&gt; and can be tweaked into one, for instance by &lt;a class="wiki_link" href="/garimagrodmonk"&gt;this scale&lt;/a&gt;. A 58 note scale is as small as possible for an epimorphic scale containing Genesis, for example &lt;a class="wiki_link" href="/genesisplus"&gt;this one&lt;/a&gt;.&lt;/body&gt;&lt;/html&gt;</pre></div>
Some other Partch scales are his 29-note [[partch_29-av|adapted viola scale]], his 37-note [[partch_37|draft exposition scale]], his [[partch_41a|41-note exposition scale]] and his [[partch_43a|43-note exposition scale]].
 
== Scales by others based on Partch’s work ==
By removing 11/10 and 20/11 from the Genesis scale, we obtain a [[:Category:41-tone scales|41-note]] [[epimorphic]] scale which has been called [[genesisminus|Genesis Minus]]; this scale is close to being a [[Fokker block]], tempering to a [[MOS]] in [[cassandra]], [[magic]] and [[rodan]] temperaments, for each of which the [[generator]]s range from -20 to 20, leading to a symmetrical scale.
 
[[Paul Erlich]] constructed the [[cassmagoctrod]] Fokker block which is also a MOS in [[octacot]] temperament, with generator range -20 to 20. By chosing other linearly independent temperaments supported by the [[11-limit]] [[patent val]] for [[41edo]] to add to cassandra, magic and rodan and requiring the range of generators to be -20 to 20 for that temperament also, we can find other alternatives to Genesis Minus based on [[cassmagmonkrod|monkey]], [[cassmagsuprod|superkleismic]], or [[cassmagmirrod|miracle]], which do equally well measured by differences from Genesis Minus.
 
A [[:Category:58-tone scales|58-note]] scale is as small as is possible for an epimorphic scale containing Genesis, for example [[genesisplus]]. By way of comparison, here is a Fokker block containing 35 of the 43 notes of Genesis: [[mynadiaechhemi]]. Mynadiaechhemi also contains a complete 11-limit [[tonality diamond]], and 58 is the smallest size of epimorphic scale for which that is possible.
 
[[Partch9]] is a scale modified from one of [[Harry Partch]]'s scales, but it is unknown who modified it.
 
== See also ==
* [[:Category:Harry Partch]]: Some additional scales may be documented here
 
{{Navbox scale gallery}}
[[Category:Harry Partch]]
[[Category:Lists of scales]]