Tuning map: Difference between revisions

Sintel (talk | contribs)
it's not a "val" (manual revert of some earlier edits)
Sintel (talk | contribs)
With respect to linear algebra: Give proper definition
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== With respect to linear algebra ==
== With respect to linear algebra ==
A tuning map can be thought of either as a one-row matrix or as a covector. The same is true of error maps and generator tuning maps.
A tuning map is a real-valued linear form (or covector). If we identify interval space with the integer lattice, it is a linear map <math>\varphi: \mathbb{Z}^n \to \mathbb{R}</math>, which projects abstract intervals onto the real line which measures pitch. It can also be thought of as a matrix with a single row. The same is true of error maps and generator tuning maps.


[[Category:Regular temperament tuning| ]] <!-- Main article -->
[[Category:Regular temperament tuning| ]] <!-- Main article -->