Mathematical theory of regular temperaments: Difference between revisions

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 The normal comma list uniquely defines the abstract temperament, and has the advantage of showing family relationships even more clearly than the normal val list. Intervals of the temperament may be defined after computing another means of representing the temperament such as the normal val list.
-It should be noted that, when attempting to specify a temperament by creating a normal list of commas, the list needs to be checked for torsion. Otherwise, the generated kernel does not represent a valid temperament, but rather a pathological object in which the square (or cube, etc) of a comma can vanish, but not the comma itself.
+When specifying a temperament by the list of commas it tempers out, the list should be [[defactored]] so it presents the intervals in their simplest, most direct form.
 === Reduced row echelon form ===