Kite's thoughts on pergens: Difference between revisions
| Line 4,432: | Line 4,432: | ||
===Simplifying "doubled" EI's=== | ===Simplifying "doubled" EI's=== | ||
Consider an EI of v<sup>3</sup>AA1. AA1 is "doubled" in the sense that AA1 = A1 + A1. The EI's 2.3.^ monzo is [-22 14 -3] | Consider an EI of v<sup>3</sup>AA1. AA1 is "doubled" in the sense that AA1 = A1 + A1. The EI's 2.3.^ monzo is [-22 14 -3]. The EI implies a mapping of [(1 2 2) (0 -3 -14)]. The pergen is (P8, P4/3). Here are the [[twin squares]]. | ||
<math> | <math> | ||
\begin{array} {rrr} | \begin{array} {rrr} | ||
P8 \\ | P8 \\ | ||
upminor 2nd \\ | |||
trud AA1 \\ | trud AA1 \\ | ||
\end{array} | \end{array} | ||
\left[ \begin{array} {rrr} | \left[ \begin{array} {rrr} | ||
1 & 0 & 0 \\ | 1 & 0 & {\color {Green}0} \\ | ||
8 & -5 & 1 \\ | 8 & -5 & {\color {Green}1} \\ | ||
\hline | \hline | ||
{\color {Red}-22} & {\color {Red}14} & -3 \\ | {\color {Red}-22} & {\color {Red}14} & -3 \\ | ||
| Line 4,451: | Line 4,451: | ||
0 & -3 & {\color {Red}-14} \\ | 0 & -3 & {\color {Red}-14} \\ | ||
\hline | \hline | ||
0 & -1 & -5 \\ | {\color {Green}0} & {\color {Green}-1} & -5 \\ | ||
\end{array} \right] | \end{array} \right] | ||
</math> | </math> | ||