Tetracot extensions: Difference between revisions
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{{Breadcrumb|Tetracot}} | {{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 [[ | [[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 [[keemic]]), resulting in distinct extensions of tetracot: | ||
* '''Monkey''' (34 & | * '''Monkey''' (34 & 41) – tempering out 100/99, 243/242, 385/384 | ||
* '''Bunya''' (34d & | * '''Bunya''' (34d & 41) – tempering out 100/99, 225/224, 243/242 | ||
The two unite in [[41edo|41et]], where both 225/224 and 385/384 are tempered out. | The two unite in [[41edo|41et]], where both 225/224 and 385/384 are tempered out. | ||
In addition, there are two simpler entries: | In addition, there are two simpler entries: | ||
* '''Modus''' (27e & | * '''Modus''' (27e & 34d) – tempering out 64/63, 100/99, 243/242 | ||
* '''Wollemia''' (27e & | * '''Wollemia''' (27e & 34) – tempering out 56/55, 100/99, 243/242 | ||
The two unite in [[27edo|27et]], where both 56/55 and 64/63 are tempered out. | The two unite in [[27edo|27et]], where both 56/55 and 64/63 are tempered out. | ||