Tetracot extensions: Difference between revisions

Created page with "Tetracot has multiple competing extensions to the 7-limit. The simplest 2.3.5.11 subgroup commas of tetracot are ptolemisma (100/99) and 243/2..."
 
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{{Breadcrumb|Tetracot}}
[[Tetracot]] has multiple competing [[extension]]s to the [[7-limit]]. The simplest 2.3.5.11 [[subgroup]] [[comma]]s of tetracot are [[100/99|ptolemisma (100/99)]] and [[243/242|rastma (243/242)]], and it can be viewed as the merge of the two corresponding [[rank-3 temperament]]s. 100/99 is particularly tricky as it can suggest tempering out either [[225/224]] (leading to [[apollo]]) or [[385/384]] (leading to [[supermagic]]), resulting in distinct extensions of tetracot:  
[[Tetracot]] has multiple competing [[extension]]s to the [[7-limit]]. The simplest 2.3.5.11 [[subgroup]] [[comma]]s of tetracot are [[100/99|ptolemisma (100/99)]] and [[243/242|rastma (243/242)]], and it can be viewed as the merge of the two corresponding [[rank-3 temperament]]s. 100/99 is particularly tricky as it can suggest tempering out either [[225/224]] (leading to [[apollo]]) or [[385/384]] (leading to [[supermagic]]), resulting in distinct extensions of tetracot:  
* '''Monkey''' (34 & 41) – tempering out 100/99, 243/242, 385/384
* '''Monkey''' (34 & 41) – tempering out 100/99, 243/242, 385/384
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[[Category:Temperaments]]
[[Category:Temperament extensions]]
[[Category:Rank-2 temperaments]]
[[Category:Tetracot]]
[[Category:Tetracot]]
[[Category:Monkey]]
[[Category:Monkey]]