Tuning map: Difference between revisions

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A tuning map has one entry for each [[basis element]] of the temperament, giving its size in [[cent]]s or [[octave]]s (or any other logarithmic pitch unit).  
A tuning map has one entry for each [[basis element]] of the temperament, giving its size in [[cent]]s or [[octave]]s (or any other logarithmic pitch unit).  


It may be helpful, then, to think of the units of each entry of a tuning map as <math>{\large\mathsf{¢}}\small /𝗽</math> (read "cents per prime"), <math>\small \mathsf{oct}/𝗽</math> (read "octaves per prime"), or any other logarithmic pitch unit per prime (for more information, see [[Dave Keenan & Douglas Blumeyer's guide to RTT: units analysis]]).
It may be helpful, then, to think of the units of each entry of a tuning map as <math>{\large\mathsf{¢}}\small /𝗽</math> (read "cents per prime"), <math>\small \mathsf{oct}/𝗽</math> (read "octaves per prime"), or any other logarithmic pitch unit per prime (for more information, see [[Dave Keenan & Douglas Blumeyer's guide to RTT/Units analysis]]).


== Generator tuning map ==
== Generator tuning map ==
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$$G = TM^{+}$$
$$G = TM^{+}$$


For a detailed explanation see [[Dave Keenan %26 Douglas Blumeyer%27s guide to RTT: tuning in nonstandard domains #9. Find pseudoinverse]].
For a detailed explanation see [[Dave Keenan %26 Douglas Blumeyer%27s guide to RTT/Tuning in nonstandard domains#9. Find pseudoinverse]].


== With respect to JIP ==
== With respect to JIP ==