Exterior algebra: Difference between revisions

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 In [[regular temperament theory]], exterior algebra is typically applied to the vector space of [[val]]s (or maps). The exterior product of two or more vals is called a multival, and its canonical form is called a [[wedgie]] (or [[Plücker coordinates]]), which can be used to uniquely identify a regular temperament.
-Nowadays, most theorists prefer avoiding the exterior algebra approach, since it tends to be overcomplicated with little to no extra benefit.{{clarify}}
+In many cases, the same things can be accomplished using matrix algebra or exterior algebra. The matrix approach is usually preferred for pedagogical reasons (more people are familiar with matrices compared to exterior products) and computational reasons, (most common numerical libraries are primarily intended for matrix operations.
+Still, in some more abstract or advanced applications, the exterior algebra may still be used if it is more natural.
 == See also ==