Mathematical theory: Difference between revisions
- "list of factorizations". That's hardly mathematical theory! |
|||
| (2 intermediate revisions by 2 users not shown) | |||
| Line 13: | Line 13: | ||
* [[Height]] | * [[Height]] | ||
* [[Benedetti height]] | * [[Benedetti height]] | ||
* [[Tenney | * [[Tenney norm]] | ||
* [[Kees | * [[Kees seminorm]] | ||
* [[Wilson | * [[Wilson norm]] | ||
* [[Weil norm, Tenney–Weil norm, and TWp interval and tuning space|Weil | * [[Weil norm, Tenney–Weil norm, and TWp interval and tuning space|Weil norm and Tenney–Weil norm]] | ||
=== Chords === | === Chords === | ||
| Line 23: | Line 23: | ||
* [[Chord matrices]] | * [[Chord matrices]] | ||
* [[Permutation product set]] | * [[Permutation product set]] | ||
* [[Tablet]] | * [[Tablet]] | ||
=== Musical information theory === | === Musical information theory === | ||
| Line 32: | Line 32: | ||
=== Interval classification === | === Interval classification === | ||
* [[Delta-N ratio]] | * [[Delta-N ratio|Delta-''N'' ratio]] | ||
* [[Non radical intervals with musical significance]] | * [[Non radical intervals with musical significance]] | ||
* [[Abc, high quality commas, and epimericity|''abc'', high quality commas, and epimericity]] | * [[Abc, high quality commas, and epimericity|''abc'', high quality commas, and epimericity]] | ||
| Line 41: | Line 41: | ||
* [[Mathematical theory of regular temperaments]] | * [[Mathematical theory of regular temperaments]] | ||
* [[Monzos and interval space]] | * [[Monzos and interval space]] | ||
** [[ | ** [[Radical interval]] | ||
* [[Vals and tuning space]] | * [[Vals and tuning space]] | ||
* [[Temperament mapping | * [[Temperament mapping matrix]] | ||
* [[Dual list]] | * [[Dual list]] | ||
* [[Mathematical theory of saturation]] | * [[Mathematical theory of saturation]] | ||
* [[Temperament merging]] | |||
* [[Temperament addition]] | * [[Temperament addition]] | ||
=== Subgroup temperaments === | === Subgroup temperaments === | ||
* [[Subgroup temperament families, relationships, and genes]] | * [[Subgroup temperament families, relationships, and genes]] | ||
* [[ | * [[Subgroup monzos and vals]] | ||
* [[ | * [[Tempered monzos and vals]] | ||
* [[Subgroup basis | * [[Subgroup basis matrix]] | ||
* [[Meet and join]] | * [[Meet and join]] | ||
* [[k*N subgroups]] | * [[k*N subgroups]] | ||
=== [[Exterior algebra]] | === Exterior algebra === | ||
* [[Exterior algebra]] | |||
* [[Dave Keenan & Douglas Blumeyer's guide to EA for RTT]] | * [[Dave Keenan & Douglas Blumeyer's guide to EA for RTT]] | ||
* [[ | * [[Wedgie]] and [[Plücker coordinates]] | ||
* [[Recoverability]] | * [[Recoverability]] | ||
* [[ | * [[Hodge dual]] | ||
* [[Interior product]] | * [[Interior product]] | ||
| Line 74: | Line 75: | ||
* [[Tenney–Euclidean temperament measures]] | * [[Tenney–Euclidean temperament measures]] | ||
* [[Tenney–Euclidean metrics]] | * [[Tenney–Euclidean metrics]] | ||
* [[Generalized Tenney norms and Tp interval space]] | * [[Generalized Tenney norms and Tp interval space|Generalized Tenney norms and T<sub>''p''</sub> interval space]] | ||
* [[Generalized Tenney dual norms and Tp tuning space]] | * [[Generalized Tenney dual norms and Tp tuning space|Generalized Tenney dual norms and T<sub>''p''</sub> tuning space]] | ||
* [[Weil norm, Tenney–Weil norm, and TWp interval and tuning space]] | * [[Weil norm, Tenney–Weil norm, and TWp interval and tuning space|Weil norm, Tenney–Weil norm, and TW<sub>''p''</sub> interval and tuning space]] | ||
* [[Tp tuning]] | * [[Tp tuning|T<sub>''p''</sub> tuning]] | ||
* [[Constrained tuning]] | * [[Constrained tuning]] | ||
* [[Logarithmic approximants]] | * [[Logarithmic approximants]] | ||
=== Temperament classification === | === Temperament classification === | ||
* [[Rank-2 temperament]] | * [[Rank-2 temperament]] (include linear temperaments) | ||
* [[Rank-3 temperament]] | * [[Rank-3 temperament]] (include planar temperaments) | ||
(''Rank-1 temperaments are [[equal-step tuning]]s''.) | (''Rank-1 temperaments are [[equal-step tuning]]s''.) | ||
* [[Temperament families and clans]] | * [[Temperament families and clans]] | ||
* [[Cluster temperament]] | * [[Cluster temperament]] | ||
* [[Associated temperament]] | * [[Associated temperament]] | ||
* [[Microtemperament]] | * [[Microtemperament]] and [[exotemperament]] | ||
* [[Trivial temperament]] | |||
* [[Trivial temperament]] | |||
* [[Sane and insane temperaments]] | * [[Sane and insane temperaments]] | ||
| Line 96: | Line 96: | ||
=== MOS scales === | === MOS scales === | ||
* [[Periodic scale]] | * [[Periodic scale]] | ||
* [[MOS | * [[MOS scale]] | ||
* [[Mathematics of MOS]] | * [[Mathematics of MOS]] | ||
* [[MODMOS | * [[MODMOS scale]] | ||
* [[Modal UDP Notation]] | * [[Modal UDP Notation]] | ||
* [[Graph-theoretic properties of scales]] | * [[Graph-theoretic properties of scales]] | ||
| Line 113: | Line 113: | ||
* [[Projection pair]] | * [[Projection pair]] | ||
* [[Modulatory space]] | * [[Modulatory space]] | ||
* [[ | * [[Detempering]] | ||
* [[ | * [[Generator preimage]] | ||
* [[Fokker | * [[Fokker block]] | ||
* [[Minkowski block]] | |||
* [[Minkowski | |||
* [[Minkowski reduced bases for Fokker groups of certain vals]] | * [[Minkowski reduced bases for Fokker groups of certain vals]] | ||
* [[ | * [[7-limit symmetrical lattices]] | ||
* [[Comma-based lattices]] | * [[Comma-based lattices]] | ||
* [[ | === Combinatorics on words === | ||
* [[Ternary scale theorems]] | |||
== More pages == | == More pages == | ||
* [[:Category:Theory]] | * [[:Category: Theory]] | ||
* [[:Category:Math]] | * [[:Category: Math]] | ||
[[Category:Math]] | [[Category:Math]] | ||
[[Category:Theory]] | [[Category:Theory]] | ||