Interval arithmetic

Revision as of 16:30, 15 July 2024 by Aura (talk | contribs) (Figured I'd copy this over from one of Flora's user pages, just for good measure)

Interval arithmetic systems refer to sets of rules regarding the names and qualities of stacked intervals.

Diatonic interval arithmetic

Diatonic interval arithmetic is a set of rules governing diatonic notation systems, which says that the degrees of stacked intervals should always follow arithmetic if 1 is subtracted from all degree numbers. For example, a stack of two thirds is always a fifth, since (3-1)+(3-1)=(5-1), and more specifically:

  Todo:

Add general rules for interval name and quality

 
Figure 1: diatonic generator step markers