Mathematical theory: Difference between revisions
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Cmloegcmluin (talk | contribs) →Regular Temperaments: correct link from the General Theory version of RTT page to the Mathematical Theory version of RTT page |
Cmloegcmluin (talk | contribs) →Regular Temperaments: this section is a bad version of the better list that's already found within the page Mathematical theory of regular temperaments#Characterizing a regular temperament, so I'm just removing it |
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* [[The dual]] | * [[The dual]] | ||
* [[Interior product]] | * [[Interior product]] | ||
=== Temperament Measures and Optimization === | === Temperament Measures and Optimization === | ||
Revision as of 21:42, 8 November 2021
Español Tuning theory can become heavily mathematical, and here are links to some of the pages which wade into deeper waters.
Scale Basics
Regular Temperaments
Basics
- Monzos and Interval Space
- Vals and Tuning Space
- Temperament Mapping Matrices
- Mathematical theory of regular temperaments
- Saturation
Subgroup Temperaments
- Subgroup Temperament Families, Relationships, and Genes
- Subgroup Monzos ("smonzos") and Subgroup Vals ("svals")
- Tempered Monzos ("tmonzos") and Tempered Vals ("tvals")
- Subgroup Basis Matrices
- Meet and Join
- Sane and Insane Temperaments
- k*N subgroups
The Exterior algebra
Temperament Measures and Optimization
- TOP tuning
- Tenney-Euclidean Tuning
- Tenney-Euclidean temperament measures
- Tenney-Euclidean metrics
- BOP tuning
- Generalized Tenney Norms and Tp Interval Space
- Generalized Tenney Dual Norms and Tp Tuning Space
- Tp tuning
- Target tunings
- Cangwu badness
- Fractional monzos
- Generator complexity
Lattices and Scales
- Transversal
- Transversal generators
- Fokker blocks
- Weak Fokker blocks
- Minkowski reduced bases for Fokker groups of certain vals
- Minkowski blocks
- The Seven Limit Symmetrical Lattices
- Tablets
- Hahn distance
- Comma-based lattices
Other
- The Riemann Zeta Function and Tuning
- Modulatory space
- Chordal space
- Logarithmic approximants
- Don Page comma
- ABC, High Quality Commas, and Epimericity
- Planar Temperament
- Wilson height