A Non-Pythagorean Musical Scale Based on Logarithms

Year: 2012 Authors: Robert P. Schneider

Core claim

A musical scale defined by natural logarithms yields non-Pythagorean intervals and distinctive beat-frequency textures that can expand harmonic possibilities.

Topics

musical scale, irrational intervals, beat frequencies, microtonality, composition

Domains

natural logarithms, irrational ratios, frequency ratios, music composition, electronic music, instrument tuning

Methods

scale construction, frequency calculation, octave mapping, comparative tuning analysis

Media

sine wave generator, traditional keyboard, piano, string quartet, flutes xylophones marimbas harps

Source status

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