Constrained tuning: Difference between revisions
m Fix the link |
→Definition: make it match the optimization page |
||
| Line 6: | Line 6: | ||
== Definition == | == Definition == | ||
Given a temperament [[mapping]] A and the [[JIP]] J<sub>0</sub>, | Given a temperament [[mapping]] A and the [[JIP]] J<sub>0</sub>, we specify a weight W, a skew X, and a ''p''-norm. Suppose the tuning is constrained by the eigenmonzo list B<sub>C</sub>. The goal is to find the generator list G by | ||
Minimize | Minimize | ||
| Line 16: | Line 16: | ||
<math>\displaystyle (GA - J_0)B_{\rm C} = O </math> | <math>\displaystyle (GA - J_0)B_{\rm C} = O </math> | ||
where | where V is the weight-skewed mapping and J the weight-skewed JIP, found by | ||
<math>\displaystyle | |||
\begin{align} | |||
V &= AWX \\ | |||
J &= J_0 WX | |||
\end{align} | |||
</math> | |||
The problem is feasible if | The problem is feasible if | ||