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]], 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]].
The '''slendric pentad''' is an [[Dyadic chord #Essentially tempered dyadic chords|essentially tempered dyadic chord]] with five notes to the octave. It can also be considered a pentatonic scale, i.e. [[Slendric]][5]. 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 ([[slendric]]/[[gamelismic]]) tempered version of 1–8/7–[[21/16]][[3/2]][[12/7]].  
[[Category:21-limit]]
 
[[Category:Chords]]
[[Equal temperament]]s with gamelismic pentads include {{EDOs| 26, 31, 41, 46, 72, 77, 87, 118 and 190 }}.  
[[Category:Dyadic]]
 
[[Category:Gamelan]]
[[Category:21-odd-limit chords]]
[[Category:Gamelisma]]
[[Category:Essentially tempered chords]]
[[Category:Pentad]]
[[Category:Pentads]]
[[Category:Gamelismic]]
[[Category:Slendric]]