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 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 temperament]]s with gamelismic pentads include {{EDOs| 26, 31, 41, 46, 72, 77, 87, 118 and 190 }}.

[[Category:21-limit]]

[[Category:21-odd-limit]]

[[Category:Chords]]

[[Category:Dyadic]]

[[Category:Gamelan]]

[[Category:~~Gamelisma~~]]

[[Category:Slendric]]

[[Category:Pentad]]

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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 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 temperament]]s with gamelismic pentads include {{EDOs| 26, 31, 41, 46, 72, 77, 87, 118 and 190 }}.
-[[Category:21-limit]]
+[[Category:21-odd-limit]]
 [[Category:Chords]]
 [[Category:Dyadic]]
 [[Category:Gamelan]]
-[[Category:Gamelisma]]
+[[Category:Slendric]]
 [[Category:Pentad]]