Douglas Blumeyer's RTT How-To: Difference between revisions
Cmloegcmluin (talk | contribs) m →periods and generators: link to interval of repetition |
Cmloegcmluin (talk | contribs) m →mappings and comma bases: Steve Martin suggestion to delete unnecessary adjectives |
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The first critical step is to recall that temperaments are defined by commas, which can be expressed as vectors. So, we can represent meantone using the meantone comma, {{monzo|-4 4 -1}}, and magic using the magic comma {{monzo|-10 -1 5}}. | The first critical step is to recall that temperaments are defined by commas, which can be expressed as vectors. So, we can represent meantone using the meantone comma, {{monzo|-4 4 -1}}, and magic using the magic comma {{monzo|-10 -1 5}}. | ||
The intersection of two vectors can be represented as a matrix. If a vector is like a | The intersection of two vectors can be represented as a matrix. If a vector is like a list of numbers, a matrix is a table of them. Technically, vectors are vertical lists of numbers, or columns, so when we put meantone and magic together, we get a matrix that looks like this: | ||
<math> | <math> | ||
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If a comma basis is the name for the matrix made out of commas, then we could say a “'''mapping'''” is the name for the matrix made out of maps. | If a comma basis is the name for the matrix made out of commas, then we could say a “'''mapping'''” is the name for the matrix made out of maps. | ||
=== null-space === | === null-space === | ||