Slendric pentad: Difference between revisions

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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|8/7]], and a subminor third of size approximatly [[7/6|7/6]], which closes at the octave since the [[gamelisma|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|21/16]]-[[3/2|3/2]]-[[12/7|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]].
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:chord]]
[[Category:Chords]]
[[Category:dyadic]]
[[Category:Dyadic]]
[[Category:gamelan]]
[[Category:Gamelan]]
[[Category:gamelisma]]
[[Category:Gamelisma]]
[[Category:pentad]]
[[Category:Pentad]]