Keemic family: Difference between revisions

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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).

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

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Scales: [[supermagic15]]

== Undecimal ~~supermagic~~ ==

== Undecimal 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

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== Supernatural ==

Supernatural uses the same mapping as [[7-limit]] [[magic]] with an independent generator for prime 11.

[[Subgroup]]: 2.3.5.7.11

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[[Category:Temperament families]]

~~[[Category:Pages with mostly numerical content]]~~

[[Category:Keemic family| ]]

~~[[Category:Supermagic]]~~

[[Category:Rank 3]]

@@ Line 1: / Line 1: @@
 {{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).
+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
@@ Line 37: / Line 37: @@
 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
@@ Line 61: / Line 61: @@
 == Supernatural ==
+Supernatural uses the same mapping as [[7-limit]] [[magic]] with an independent generator for prime 11.
 [[Subgroup]]: 2.3.5.7.11
@@ Line 96: / Line 98: @@
 [[Category:Temperament families]]
-[[Category:Pages with mostly numerical content]]
 [[Category:Keemic family| ]] <!-- main article -->
-[[Category:Supermagic]]
 [[Category:Rank 3]]