Slendric pentad: Difference between revisions
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The '''slendric pentad''' is an [[ | The '''slendric pentad''' is an [[Dyadic chord#Essentially tempered dyadic chords|essentially tempered dyadic chord]] with five notes to the octave which can also be considered a pentatonic scale. In close position, reduced to an octave, it consists of a chain of four supermajor seconds, of size approximately [[8/7]], and a subminor third of size approximately [[7/6]], which closes at the octave since the [[gamelisma]], 1029/1024, is [[tempering out|tempered out]]. It is in other words a 8/7-8/7-8/7-8/7-7/6 chord, which is a 1029/1024 ([[Gamelismic family#Gamelan|gamelan tempered]]) version of 1-8/7-[[21/16]]-[[3/2]]-[[12/7]]. Equal ([[EDO|edo]]) temperaments with gamelismic pentads include [[26edo|26]], [[31edo|31]], [[41edo|41]], [[46edo|46]], [[72edo|72]], [[77edo|77]], [[87edo|87]], [[118edo|118]] and [[190edo|190]]. | ||
[[Category:21-limit]] | [[Category:21-limit]] | ||
[[Category: | [[Category:Chords]] | ||
[[Category: | [[Category:Dyadic]] | ||
[[Category: | [[Category:Gamelan]] | ||
[[Category: | [[Category:Gamelisma]] | ||
[[Category: | [[Category:Pentad]] | ||
Revision as of 23:57, 30 June 2019
The slendric pentad is an essentially tempered dyadic chord with five notes to the octave which can also be considered a pentatonic scale. In close position, reduced to an octave, it consists of a chain of four supermajor seconds, of size approximately 8/7, and a subminor third of size approximately 7/6, which closes at the octave since the gamelisma, 1029/1024, is tempered out. It is in other words a 8/7-8/7-8/7-8/7-7/6 chord, which is a 1029/1024 (gamelan tempered) version of 1-8/7-21/16-3/2-12/7. Equal (edo) temperaments with gamelismic pentads include 26, 31, 41, 46, 72, 77, 87, 118 and 190.