Projection: Difference between revisions
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===The unrotated vectors and scaling factors=== | ===The unrotated vectors and scaling factors=== | ||
To obtain the unrotated vectors and scaling factors, we can find these in matrix form via a mathematical process known as "eigendecomposition", which can be handled by most math software. For example, in Wolfram Language, we can perform an eigendecomposition using the function | To obtain the unrotated vectors and scaling factors, we can find these in matrix form via a mathematical process known as "eigendecomposition", which can be handled by most math software. For example, in Wolfram Language, we can perform an eigendecomposition using the function <code>Eigensystem[]</code>. Here's an example of quarter-comma meantone: | ||
<nowiki>In: P = {{1,1,0},{0,0,0},{0,1/4,1}} | <nowiki>In: P = {{1,1,0},{0,0,0},{0,1/4,1}} | ||
In: Eigensystem[P] // MatrixForm | In: Eigensystem[P] // MatrixForm | ||