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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | 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%27s_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]]. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2012-03-29 18:14:49 UTC</tt>.<br>
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| : The original revision id was <tt>315983464</tt>.<br>
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| : The revision comment was: <tt></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>
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| <h4>Original Wikitext content:</h4>
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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">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%27s_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]].
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| By removing 11/10 and 20/11 from the Genesis scale, we obtain a 41 note epimorphic scale which has been called [[genesisminus|Genesis Minus]]; this scale is close to being a [[Fokker blocks|Fokker block]], tempering to a MOS in cassandra, magic and rodan temperaments, for each of which the generators range from -20 to 20, leading to a symmetrical scale. [[Paul Erlich]] constructed [[cassmagoctrod|this]] 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. | | By removing 11/10 and 20/11 from the Genesis scale, we obtain a 41 note epimorphic scale which has been called [[genesisminus|Genesis Minus]]; this scale is close to being a [[Fokker_blocks|Fokker block]], tempering to a MOS in cassandra, magic and rodan temperaments, for each of which the generators range from -20 to 20, leading to a symmetrical scale. [[Paul_Erlich|Paul Erlich]] constructed [[cassmagoctrod|this]] 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. |
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| A 58 note scale is as small as is possible for an epimorphic scale containing Genesis, for example [[genesisplus|this one]]. 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 | | A 58 note scale is as small as is possible for an epimorphic scale containing Genesis, for example [[genesisplus|this one]]. By way of comparison, here is a Fokker block containing 35 of the 43 notes of Genesis: [[mynadiaechhemi|mynadiaechhemi]]. Mynadiaechhemi also contains a complete 11-limit tonality diamond, and 58 is the smallest size of epimorphic scale for which that is possible |
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| see also [[Harry Partch]]</pre></div> | | see also [[Harry_Partch|Harry Partch]] [[Category:partch]] |
| <h4>Original HTML content:</h4>
| | [[Category:scales]] |
| <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>Harry Partch related scales</title></head><body>The famous Partch scale is his 43 note Genesis or &quot;pure&quot; scale. The Wikipedia article on it is <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Harry_Partch%27s_43-tone_scale" rel="nofollow">here</a>, and the scale itself <a class="wiki_link" href="/partch_43">here</a>. Other Partch scales are his 29-note <a class="wiki_link" href="/partch_29-av">adapted viola scale</a>, his 37-note <a class="wiki_link" href="/partch_37">draft exposition scale</a>, his 41 note <a class="wiki_link" href="/partch_41a">exposition scale</a> and his 43-note <a class="wiki_link" href="/partch_43a">exposition scale</a>.<br />
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| By removing 11/10 and 20/11 from the Genesis scale, we obtain a 41 note epimorphic scale which has been called <a class="wiki_link" href="/genesisminus">Genesis Minus</a>; this scale is close to being a <a class="wiki_link" href="/Fokker%20blocks">Fokker block</a>, tempering to a MOS in cassandra, magic and rodan temperaments, for each of which the generators range from -20 to 20, leading to a symmetrical scale. <a class="wiki_link" href="/Paul%20Erlich">Paul Erlich</a> constructed <a class="wiki_link" href="/cassmagoctrod">this</a> 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 <a class="wiki_link" href="/cassmagmonkrod">monkey</a>, <a class="wiki_link" href="/cassmagsuprod">superkleismic</a>, or <a class="wiki_link" href="/cassmagmirrod">miracle</a>, which do equally well measured by differences from Genesis Minus.<br />
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| A 58 note scale is as small as is possible for an epimorphic scale containing Genesis, for example <a class="wiki_link" href="/genesisplus">this one</a>. By way of comparison, here is a Fokker block containing 35 of the 43 notes of Genesis: <a class="wiki_link" href="/mynadiaechhemi">mynadiaechhemi</a>. Mynadiaechhemi also contains a complete 11-limit tonality diamond, and 58 is the smallest size of epimorphic scale for which that is possible<br />
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| see also <a class="wiki_link" href="/Harry%20Partch">Harry Partch</a></body></html></pre></div>
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The famous Partch scale is his 43 note Genesis or "pure" scale. The Wikipedia article on it is here, and the scale itself here. Other Partch scales are his 29-note adapted viola scale, his 37-note draft exposition scale, his 41 note exposition scale and his 43-note exposition scale.
By removing 11/10 and 20/11 from the Genesis scale, we obtain a 41 note epimorphic scale which has been called 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 generators range from -20 to 20, leading to a symmetrical scale. Paul Erlich constructed this 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 monkey, superkleismic, or miracle, which do equally well measured by differences from Genesis Minus.
A 58 note scale is as small as is possible for an epimorphic scale containing Genesis, for example this one. 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
see also Harry Partch