As the oft quoted Thelonious Sphere Monk once remarked, "All musicians are subconsciously mathematicians!"
It's no secret that in the known universe, the relationship between music and numbers is intrinsically woven.
In order to make sense of it all - pitches, intervals, chords, scales (modes) and cadences - have all been organized by number into groups, sets, etc. For example, Major Scale steps 1-3-5 might represent a Major triad in traditional harmony, whereas in Set Class Theory, 037 might be designated as a Major or minor triad; while 013, 026 & 027 all represent non-triadic 3-note "pitch collections".
Rhythms are grouped into repeating cycles - 4/4, 6/8, 7/4, etc. in various ways, across many different cultures.
It's no secret that in the known universe, the relationship between music and numbers is intrinsically woven.
In order to make sense of it all - pitches, intervals, chords, scales (modes) and cadences - have all been organized by number into groups, sets, etc. For example, Major Scale steps 1-3-5 might represent a Major triad in traditional harmony, whereas in Set Class Theory, 037 might be designated as a Major or minor triad; while 013, 026 & 027 all represent non-triadic 3-note "pitch collections".
Rhythms are grouped into repeating cycles - 4/4, 6/8, 7/4, etc. in various ways, across many different cultures.
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