Temperament merging: Difference between revisions
m Beginner template |
ArrowHead294 (talk | contribs) m →Merging: Use matrix instead of array |
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| Line 10: | Line 10: | ||
<math> | <math> | ||
\hspace{1cm} | \hspace{1cm} | ||
\begin{array} {ccc} | \begin{array} {ccc} | ||
\left[ \begin{matrix} | |||
\left[ \begin{ | |||
12 & 19 & 28 \\ | 12 & 19 & 28 \\ | ||
\end{ | \end{matrix} \right] \\ | ||
\text{map-merge} \\ | \text{map-merge} \\ | ||
\left[ \begin{ | \left[ \begin{matrix} | ||
19 & 30 & 44 \\ | 19 & 30 & 44 \\ | ||
\end{ | \end{matrix} \right] \\ | ||
↓ \\ | ↓ \\ | ||
\left[ \begin{ | \left[ \begin{matrix} | ||
12 & 19 & 28 \\ | 12 & 19 & 28 \\ | ||
19 & 30 & 44 \\ | 19 & 30 & 44 \\ | ||
\end{ | \end{matrix} \right] \\ | ||
\text{which canonicalizes to} \\ | \text{which canonicalizes to} \\ | ||
\left[ \begin{ | \left[ \begin{matrix} | ||
1 & 0 & -4 \\ | 1 & 0 & -4 \\ | ||
0 & 1 & 4 \\ | 0 & 1 & 4 \\ | ||
\end{ | \end{matrix} \right] \\ | ||
\end{array} | \end{array} | ||
| Line 44: | Line 41: | ||
\hspace{1cm} | \hspace{1cm} | ||
\left[ \begin{ | \left[ \begin{matrix} | ||
-4 \\ | -4 \\ | ||
4 \\ | 4 \\ | ||
-1 \\ | -1 \\ | ||
\end{ | \end{matrix} \right] | ||
\text{comma-merge} | \text{comma-merge} | ||
\left[ \begin{ | \left[ \begin{matrix} | ||
7 \\ | 7 \\ | ||
0 \\ | 0 \\ | ||
-3 \\ | -3 \\ | ||
\end{ | \end{matrix} \right] | ||
→ | → | ||
\left[ \begin{ | \left[ \begin{matrix} | ||
-4 & 7 \\ | -4 & 7 \\ | ||
4 & 0 \\ | 4 & 0 \\ | ||
-1 & -3 \\ | -1 & -3 \\ | ||
\end{ | \end{matrix} \right] | ||
\text{which canonicalizes to} | \text{which canonicalizes to} | ||
\left[ \begin{ | \left[ \begin{matrix} | ||
-19 & -15 \\ | -19 & -15 \\ | ||
12 & 8 \\ | 12 & 8 \\ | ||
0 & 1 \\ | 0 & 1 \\ | ||
\end{ | \end{matrix} \right] | ||
</math> | </math> | ||
== Application == | == Application == | ||