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 temperament]]s with gamelismic pentads include {{EDOs| 26, 31, 41, 46, 72, 77, 87, 118 and 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, aka [[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 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-odd-limit]]
[[Category:21-odd-limit]]

Revision as of 09:01, 19 April 2024

The slendric pentad is an essentially tempered dyadic chord with five notes to the octave. It can also be considered a pentatonic scale, aka 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 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/gamelan tempered version of 1-8/7-21/16-3/2-12/7. Equal temperaments with gamelismic pentads include 26, 31, 41, 46, 72, 77, 87, 118 and 190.