Optimization: Difference between revisions
→Enforcement: mention that a constraint is an eigenmonzo |
Remove tuning map T as a "goal": not really mentioned below, so it may have overcomplicated the stuff |
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== Basic concepts == | == Basic concepts == | ||
* [[Periods and generators]] | |||
* [[Just intonation point]] (JIP) | * [[Just intonation point]] (JIP) | ||
* [[Tuning map]] | * [[Tuning map]] | ||
== Taxonomy == | == Taxonomy == | ||
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== General formulation == | == General formulation == | ||
In general, the temperament optimization problem (except for the destretch) can be defined as follows. Given a temperament mapping A and the JIP J<sub>0</sub>, we specify a weight W, a skew X, and a ''p''-norm. In addition, an optional list of constraint B<sub>C</sub>. We want to find the generator list G | In general, the temperament optimization problem (except for the destretch) can be defined as follows. Given a temperament mapping A and the JIP J<sub>0</sub>, we specify a weight W, a skew X, and a ''p''-norm. In addition, an optional list of constraint B<sub>C</sub>. We want to find the generator list G by | ||
Minimize | Minimize | ||