Sinbadmic chords: Difference between revisions
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A '''sinbadmic chord''' is a [[13-limit]] [[essentially tempered dyadic chord]] which is tempered by [[1001/1000]] (sinbadma). | |||
The | The triads are of the form | ||
* 1-[[7/5]]-[[20/13]], with steps [[7/5]]-[[11/10]]-[[13/10]], | |||
and its inversion, | |||
* 1-[[7/5]]-[[20/11]], with steps [[7/5]]-[[13/10]]-[[11/10]]. | |||
It leads to a tetrad, | |||
* 1-[[11/10]]-[[13/10]]-[[10/7]] in one voicing, which has steps of [[11/10]]-[[13/11]]-[[11/10]]-[[7/5]]. | |||
Equal temperaments with sinbadmic chords include {{EDOs| 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701 }}, with [[1701edo]] giving the [[optimal patent val]]. | |||
The name is derived from the ''sinbadma'' (1001/1000), a [[comma]] that is reminiscent of the [[Wikipedia: One Thousand and One Nights|tales of 1001 Nights]]. | |||
[[Category:Essentially tempered chords]] | |||
[[Category:Triad]] | |||
[[Category:Tetrad]] | [[Category:Tetrad]] | ||
[[Category:Sinbadmic]] | |||
Revision as of 14:49, 30 December 2021
A sinbadmic chord is a 13-limit essentially tempered dyadic chord which is tempered by 1001/1000 (sinbadma).
The triads are of the form
and its inversion,
It leads to a tetrad,
Equal temperaments with sinbadmic chords include 29, 31, 43, 50, 53, 58, 72, 87, 103, 111, 130, 183, 190, 198, 270, 571, 590, 643, 860, 1130, 1431 and 1701, with 1701edo giving the optimal patent val.
The name is derived from the sinbadma (1001/1000), a comma that is reminiscent of the tales of 1001 Nights.