Kite'sthoughts on twin squares: Difference between revisions
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\end{array} \right] | \end{array} \right] | ||
</math> | </math> | ||
<math> | |||
\begin{array} {rrr} | |||
per \\ | |||
gen \\ | |||
com \\ | |||
\end{array} | |||
\left[ \begin{array} {rrr} | |||
1 & 0 & 0 \\ | |||
-1 & 1 & 0 \\ | |||
-4 & 4 & -1 \\ | |||
\end{array} \right] | |||
\left[ \begin{array} {rrr} | |||
1 & 1 & 0 \\ | |||
0 & 1 & 4 \\ | |||
0 & 0 & -1 \\ | |||
\end{array} \right] | |||
</math> | |||
These two matrices can be considered to be a simple basis change from 2.3.5 to 2.3/2.81/80. Meantone can be thought of as a basis change, with one of the new basis members vanishing, thus projecting from 3-D to 2-D. | These two matrices can be considered to be a simple basis change from 2.3.5 to 2.3/2.81/80. Meantone can be thought of as a basis change, with one of the new basis members vanishing, thus projecting from 3-D to 2-D. | ||