Harry Partch related scales: Difference between revisions
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[[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, directly and indirectly. | |||
== Scales made by Partch himself == | |||
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 [[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 [[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. | |||
A [[:Category:58-tone scales|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. | |||
[[Category:Harry Partch]] | |||
[[Category:Lists of scales]] | [[Category:Lists of scales]] | ||
Revision as of 11:56, 17 November 2024
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, directly and indirectly.
Scales made by Partch himself
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.
Scales by others based on Partch’s work
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.