User:Sintel/CTE tuning: Difference between revisions
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== Definition == | == Definition == | ||
Given a temperament [[mapping]] A, the CTE tuning is equivalent to the following optimization problem: | Given a temperament [[mapping]] A, the CTE tuning is equivalent to the following optimization problem: | ||
<math> | |||
\begin{align} | |||
\text{minimize} & \left\| GV - J \right\| \\ | |||
<math>\text{minimize} \left\| GV - J \right\| \\ | \text{subject to} & (GA - J_0)b_i = 0 \quad i = 1, \dots, r | ||
\text{subject to} | \end{align} | ||
</math> | |||
where G is the generator list, V = AW the Tenney-weighted temperament mapping, J = J<sub>0</sub>W the Tenney-weighted [[JIP]], and B the monzo list. | where G is the generator list, V = AW the Tenney-weighted temperament mapping, J = J<sub>0</sub>W the Tenney-weighted [[JIP]], and B the monzo list. | ||