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]] | 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]]. | ||
== | == Keemic == | ||
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 | == Undecimal keemic == | ||
{{See also| Ptolemismic clan # | {{See also| Ptolemismic clan #Keemic }} | ||
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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Comma list: 105/104, 196/195, 245/243 | Comma list: 105/104, 196/195, 245/243 | ||
{{Mapping|legend=0| 1 0 2 -1 0 -2 | 0 5 1 12 0 18 | 0 0 0 0 1 0 }} | |||
Optimal tunings: | Optimal tunings: | ||
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Badness (Sintel): 1.07 | Badness (Sintel): 1.07 | ||
[[Category:Keemic family| ]] <!-- main article --> | |||
[[Category:Temperament families]] | [[Category:Temperament families]] | ||
[[Category: | [[Category:Catalogs of rank-3 temperaments]] | ||