Cognitive Scaffold

Preparing your thinking workspace

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MENTAL MODEL · M7315

Circle of Fifths

Circle of Fifths
TechnicalHigh supportMathematics
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Version 1.0.0 · Updated 2026-07-30

CORE DEFINITION

- Based on the perfect fifth (frequency ratio 3:2), continuous generation produces the twelve tones.

SCAFFOLDING EFFECT

psychology

Reduce cognitive load

Scale derivation algorithm. It constructs a musical system with mathematical proportional relationships, quantifying auditory aesthetics.

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Based on the perfect fifth (frequency ratio 3:2), continuous generation moves each tone in the dominant/subdominant direction, cycling through twelve tones; mathematical ratios determine interval consonance, serving as a geometric map of tonal relationships.

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Source support: Explicit

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    en.wikipedia.orghttps://en.wikipedia.org/wiki/Circle_of_fifthsZH · Explicit
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