Keemic family: Difference between revisions

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{{Technical data page}}
{{Technical data page}}
The '''keemic family''' is a family of [[rank-3 temperament]]s which [[tempering out|temper out]] the [[keema]] ({{monzo|legend=1| -5 -3 3 1 }}, [[ratio]]: 875/864). For [[rank-2]] temperaments, see [[keemic temperaments]].
The '''keemic family''' is a family of [[rank-3 temperament]]s which [[tempering out|temper out]] the [[keema]] ({{monzo|legend=1| -5 -3 3 1 }}, [[ratio]]: 875/864). For [[rank-2 temperament]]s, see [[keemic temperaments]].


== Supermagic ==
== Keemic ==
Supermagic has the same lattice structure as [[5-limit]] JI, and [[7/4]] is found by a stack of three [[~]][[6/5]]'s.  
Keemic, also known as ''supermagic'' in earlier materials, has the same lattice structure as [[5-limit]] JI, and [[7/4]] is found by a stack of three [[~]][[6/5]]'s.  


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7
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Scales: [[supermagic15]]
Scales: [[supermagic15]]


== Undecimal supermagic ==
== Undecimal keemic ==
{{See also| Ptolemismic clan #Supermagic }}
{{See also| Ptolemismic clan #Keemic }}


Supermagic is naturally an [[11-limit]] temperament due to the identity 875/864 = ([[100/99]])⋅([[385/384]]). This identifies a stack of two ~6/5's as ~[[16/11]].  
Keemic is naturally an [[11-limit]] temperament due to the identity 875/864 = ([[100/99]])⋅([[385/384]]). This identifies a stack of two ~6/5's as ~[[16/11]].  


[[Subgroup]]: 2.3.5.7.11
[[Subgroup]]: 2.3.5.7.11
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[[Category:Temperament families]]
[[Category:Temperament families]]
[[Category:Pages with mostly numerical content]]
[[Category:Keemic family| ]] <!-- main article -->
[[Category:Keemic family| ]] <!-- main article -->
[[Category:Supermagic]]
[[Category:Rank 3]]
[[Category:Rank 3]]