Wedgie: Difference between revisions
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== Derivation from mapping matrices == | == Derivation from mapping matrices == | ||
TBD | TBD | ||
== Derivation from edo joins == | |||
''See also: [[Linear algebra formalism#Wedge product]]'' | |||
Two [[vals]] can be combined into a wedgie representing the rank-2 temperament they both support using the wedge product. For example, wedging ⟨5 8 12] and ⟨7 11 16] (the patent vals for 5edo and 7edo) yields ⟨⟨(5*11-8*7) (5*16-12*7) (8*16-12*11)]], which simplifies to ⟨⟨(55-56) (80-84) (128-132)]] and thus to ⟨⟨-1 -4 -4]], which is the wedgie for 5 & 7, a.k.a. meantone. | |||
More than two vals can be combined into a higher-rank wedgie by an analogous method. | |||
== See also == | == See also == | ||