Domain basis: Difference between revisions
Cmloegcmluin (talk | contribs) m remove underscores from visible links |
Cmloegcmluin (talk | contribs) consistent subscript for R with the temperament merging across interval bases article, which is preferable because the L is to the left of the s. and also related correction here |
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=== Examples === | === Examples === | ||
Suppose we have the interval rebase <math>R_{ | Suppose we have the interval rebase <math>R_{L↔s}</math> between 2.3.5.7 <math>B_L</math> and 2.9/7.5/3 <math>B_s</math>. The superspace is 2.3.5.7, so that's the rows, and 2.9/7.5/3 is the subspace, so that's the columns. And so here's our <math>R_{L↔s}</math>: | ||
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First, let's use this to convert a comma basis <math>C_s</math> (that's in the <math>B_s</math> interval subspace) to the <math>B_L</math>interval subspace, by doing <math>R_{ | First, let's use this to convert a comma basis <math>C_s</math> (that's in the <math>B_s</math> interval subspace) to the <math>B_L</math>interval subspace, by doing <math>R_{L↔s}.C</math>: | ||
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\begin{array} {ccc} | \begin{array} {ccc} | ||
R_{ | R_{L↔s} \\ | ||
\begin{array} {ccc} | \begin{array} {ccc} | ||
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And now let's use <math>R_{ | And now let's use <math>R_{L↔s}</math> to convert a mapping the other way, from <math>B_L</math> to <math>B_s</math>, by doing <math>M_L.R_{L↔s}</math>: | ||
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\begin{array} {ccc} | \begin{array} {ccc} | ||
R_{ | R_{L↔s} \\ | ||
\begin{array} {ccc} | \begin{array} {ccc} | ||