Linear algebra formalism: Difference between revisions

mNo edit summary
Fredg999 (talk | contribs)
m MOS:PIPESTYLE
Line 1: Line 1:
Aspects of tuning theory are often described in the language of '''linear algebra.''' This is because the space of [[just intonation|just intervals]] (and as it turns out, the space of [[radical intervals]]) constitutes a vector space. This can be determined by checking that intervals follow the axioms of linear algebra:
Aspects of tuning theory are often described in the language of '''linear algebra.''' This is because the space of [[just intonation|just intervals]] (and as it turns out, the space of [[radical interval]]s) constitutes a vector space. This can be determined by checking that intervals follow the axioms of linear algebra:


* Because [[stacking]] corresponds to multiplication of rational numbers:
* Because [[stacking]] corresponds to multiplication of rational numbers: