Mathematical theory: Difference between revisions
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[[Meet_and_Join|Meet and Join]] | [[Meet_and_Join|Meet and Join]] | ||
'''Linear algebra:''' | '''Linear algebra:''' | ||
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[[Generalized_Tenney_Dual_Norms_and_Tp_Tuning_Space|Generalized Tenney Dual Norms and Tp Tuning Space]] | [[Generalized_Tenney_Dual_Norms_and_Tp_Tuning_Space|Generalized Tenney Dual Norms and Tp Tuning Space]] | ||
'''Exterior algebra:''' | '''Exterior algebra:''' | ||
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[[Interior_product|Interior product]] | [[Interior_product|Interior product]] | ||
'''Abstract algebra:''' | '''Abstract algebra:''' | ||
[[Groups,_Lattices,_Z-modules,_and_Vector_Spaces|Groups, Lattices, Z-modules and Vector spaces]] | [[Groups,_Lattices,_Z-modules,_and_Vector_Spaces|Groups, Lattices, Z-modules and Vector spaces]] | ||
'''Temperament representations:''' | '''Temperament representations:''' | ||
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[[Gencom|Gencom]] | [[Gencom|Gencom]] | ||
'''Other:''' | '''Other:''' | ||
Revision as of 19:47, 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