Tuning map: Difference between revisions

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A '''tuning map''' represents the tuning of a [[regular temperament]]. It can take a vector representation of an interval ([[monzo]]) as input and outputs its pitch, usually measured in cents or octaves. A tuning map has one entry for each [[formal prime]] of the temperament, giving its size in cents or octaves.

A '''tuning map''' represents the tuning of a [[regular temperament]]. It can take a vector representation of an interval ([[monzo]]) as input and outputs its pitch, usually measured in cents or octaves.

A tuning map has one entry for each [[formal prime]] of the temperament, giving its size in cents or octaves (or any other logarithmic pitch unit). And so the units of each entry of a tuning map are c/p (read "cents per prime"), oct/p (read "octaves per prime"), or any other logarithmic pitch unit per prime.

== Generator tuning map ==

A '''generator tuning map''' is like a (temperament) tuning map, but each entry gives the size in cents or octaves of a different [[generator]], rather than of a formal prime.

So the units of each entry of a generator tuning map are c/g (read "cents per generator"), oct/g (read "octaves per generator"), or any other logarithmic pitch unit per generator.

From the generator tuning map <math>\textbf{g}</math> and the mapping <math>M</math>, we can obtain the tuning map <math>\textbf{t}</math> as <math>\textbf{g}.M</math>.

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-A '''tuning map''' represents the tuning of a [[regular temperament]]. It can take a vector representation of an interval ([[monzo]]) as input and outputs its pitch, usually measured in cents or octaves. A tuning map has one entry for each [[formal prime]] of the temperament, giving its size in cents or octaves.
+A '''tuning map''' represents the tuning of a [[regular temperament]]. It can take a vector representation of an interval ([[monzo]]) as input and outputs its pitch, usually measured in cents or octaves.
+A tuning map has one entry for each [[formal prime]] of the temperament, giving its size in cents or octaves (or any other logarithmic pitch unit). And so the units of each entry of a tuning map are c/p (read "cents per prime"), oct/p (read "octaves per prime"), or any other logarithmic pitch unit per prime.
 == Generator tuning map ==
 A '''generator tuning map''' is like a (temperament) tuning map, but each entry gives the size in cents or octaves of a different [[generator]], rather than of a formal prime.
+So the units of each entry of a generator tuning map are c/g (read "cents per generator"), oct/g (read "octaves per generator"), or any other logarithmic pitch unit per generator.
 From the generator tuning map <math>\textbf{g}</math> and the mapping <math>M</math>, we can obtain the tuning map <math>\textbf{t}</math> as <math>\textbf{g}.M</math>.