Keemic family: Difference between revisions
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== Supermagic == | == Supermagic == | ||
Supermagic 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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== Undecimal supermagic == | == Undecimal supermagic == | ||
{{See also| Ptolemismic clan #Supermagic }} | {{See also| Ptolemismic clan #Supermagic }} | ||
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. | |||
[[Subgroup]]: 2.3.5.7.11 | [[Subgroup]]: 2.3.5.7.11 | ||
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* CWE: ~2 = 1200.0000{{c}}, ~5/4 = 380.1532{{c}}, ~11/8 = 548.2678{{c}} | * CWE: ~2 = 1200.0000{{c}}, ~5/4 = 380.1532{{c}}, ~11/8 = 548.2678{{c}} | ||
{{Optimal ET sequence|legend= | {{Optimal ET sequence|legend=0| 19, 22f, 38df, 41, 60e, 79d, 101cd }} | ||
Badness (Sintel): 1.07 | Badness (Sintel): 1.07 | ||