Harry Partch related scales: Difference between revisions

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~~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]]~~.

[[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.

~~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.

== Scales made by Partch himself ==

The famous Partch scale is his 43 note [[partch_43|Genesis scale]] or "pure" scale.

~~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~~

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]].

~~see~~ also [[~~Harry_Partch~~|Harry Partch]] [[Category:Harry Partch]]

== 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

[[Category:Harry Partch]]

[[Category:Lists of scales]]

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-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]].
+[[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.
-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.
+== Scales made by Partch himself ==
+{{Wikipedia|Harry Partch's 43-tone scale}}
+The famous Partch scale is his 43 note [[partch_43|Genesis scale]] or "pure" scale.
-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
+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]].
-see also [[Harry_Partch|Harry Partch]]      [[Category:Harry Partch]]
+== 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]]