Scale Theory – mDecks Music
Published: 2022-08-09
circle of fifths
symmetry
visualization
Explore how every scale can be represented on the circle of fifths and learn the binary method that proves there are exactly 2,048 scale formulas.
This lesson demonstrates how to graph scales on the circle of fifths to reveal their structural shapes, then builds a 12-digit binary encoding that identifies scale formulas independent of root. Using that encoding and a simple combinatorial argument, it shows why there are 2,048 distinct scale formulas and explains how modes, symmetric scales, and full transpositions relate to that count. Ideal for theorists and improvisers seeking a clear, visual proof of scale enumeration and practical implications for learning scales on an instrument.
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