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>
<math>
\begin{align}
\begin{align}
\text{minimize} & \left\|  GV - J  \right\|  \\
& \text{minimize}   && \left\|  g\mathrm{V} - \mathrm{J}   \right\|  \\[8pt]
\text{subject to} &  (GA - J_0)b_i = 0 \quad i = 1, \dots, r
& \text{subject to} &&  (g\mathrm{A} - \mathrm{J}_0)b_i = 0, \quad i = 1, \dots, r
\end{align}
\end{align}
</math>
</math>