The Integrated Scale Desirability Function: A Musical Scale Consonance Measure Based on Perception Data

Year: 2006 Authors: Richard J. Krantz; Jack Douthett

Core claim

The measure predicts consonant scales from complex-tone spectra and suggests higher frequency components help explain 12-tone equal temperament, the Bohlen-Pierce scale, and sculpted non-standard tunings.

Topics

musical consonance, equal temperament, perception-based dissonance, timbre and scale, Bohlen-Pierce scale

Domains

weighted sums, integral transforms, normalized functions, logarithmic ratios, music theory, sound design, experimental composition

Methods

desirability function, dissonance function, continuous limit, spectral weighting

Media

complex tones, harmonic spectra, roughness curves

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.