Mathematical theory: Difference between revisions
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Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters. | Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters. | ||
=Scale Basics= | =Scale Basics= | ||
Revision as of 19:46, 17 September 2018
Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters.
Scale Basics
Graph-theoretic properties of scales
Regular Temperaments
Basics:
Linear algebra:
Temperament Mapping Matrices (M-maps)
Subgroup Mapping Matrices (V-maps)
Generalized Tenney Norms and Tp Interval Space
Generalized Tenney Dual Norms and Tp Tuning Space
Exterior algebra:
Abstract algebra:
Groups, Lattices, Z-modules and Vector spaces
Temperament representations:
Other:
Temperament Measures and Optimization
Tenney-Euclidean temperament measures
Lattices and Scales
Minkowski reduced bases for Fokker groups of certain vals
The Seven Limit Symmetrical Lattices