Generalized Tenney norms and Tp interval space: Difference between revisions
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Say that we're in the 2.9/7.5/3 subgroup, and we want to find the T1 norm of |0 -2 1>. Then we can come up with a V-map '''V<span style="font-size: 10px; vertical-align: sub;">G</span>''' for this subgroup in the 7-limit as follows: | Say that we're in the 2.9/7.5/3 subgroup, and we want to find the T1 norm of |0 -2 1>. Then we can come up with a V-map '''V<span style="font-size: 10px; vertical-align: sub;">G</span>''' for this subgroup in the 7-limit as follows: | ||
<math> | <math>\left[ \begin{array}{rrrrrl} | ||
| & 1 & 0 & 0 & 0 & \rangle\\ | | & 1 & 0 & 0 & 0 & \rangle\\ | ||
| & 0 & 2 & 0 & -1 & \rangle\\ | | & 0 & 2 & 0 & -1 & \rangle\\ | ||
| & 0 & -1 & 1 & 0 & \rangle | | & 0 & -1 & 1 & 0 & \rangle | ||
\end{array} \right | \end{array} \right]</math> | ||
Note that the "rows" here are written in kets; this is a convention to signify that each ket, representing a monzo, is actually supposed to represent a column of the matrix [[Subgroup_Mapping_Matrices_(V-maps)|as explained here]]. | Note that the "rows" here are written in kets; this is a convention to signify that each ket, representing a monzo, is actually supposed to represent a column of the matrix [[Subgroup_Mapping_Matrices_(V-maps)|as explained here]]. | ||