Temperament addition: Difference between revisions
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<math>\left[ \begin{array} { | <math>\left[ \begin{array} {r|r} | ||
4 & 13 \\ | 4 & 13 \\ | ||
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\end{array} \right] | \end{array} \right] | ||
+ | + | ||
\left[ \begin{array} { | \left[ \begin{array} {rr|r} | ||
-8 & -6 \\ | -8 & -6 \\ | ||
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\end{array} \right] | \end{array} \right] | ||
= | = | ||
\left[ \begin{array} { | \left[ \begin{array} {r|r} | ||
(4+-8) & (13+-6) \\ | (4+-8) & (13+-6) \\ | ||
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\end{array} \right] | \end{array} \right] | ||
= | = | ||
\left[ \begin{array} { | \left[ \begin{array} {r|r} | ||
-4 & 7 \\ | -4 & 7 \\ | ||
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# neither Harrison's comma {{vector|13 -10 0 1}} nor Archytas' comma {{vector|-6 2 0 1}} vanish, but does make the laruru negative second {{vector|7 -8 0 2}} vanish. | # neither Harrison's comma {{vector|13 -10 0 1}} nor Archytas' comma {{vector|-6 2 0 1}} vanish, but does make the laruru negative second {{vector|7 -8 0 2}} vanish. | ||
But while these two monovector additions have worked out individually, the full result cannot truly be said to be the "temperament sum" of septimal meantone and blackwood. And here follows a demonstration why it cannot. | But while these two monovector additions have worked out individually, the full result cannot truly be said to be the "temperament sum" of septimal meantone and blackwood. And here follows a demonstration why it cannot. | ||
==== Second example: alternate form ==== | ==== Second example: alternate form ==== | ||