How to Tune a Stiff Sawtooth

Year: 2022 Authors: Emily Henderson; Jordan Schettler

Core claim

For stiff, inharmonic waveforms, tuning by a weighted geometric mean yields better interval stretching than matching only the first corresponding partials.

Topics

inharmonicity, interval stretching, weighted geometric mean, stiff strings, just intonation

Domains

partial differential equations, wave equation, separation of variables, music, sound synthesis, instrument tuning

Methods

analytical modeling, partial frequency comparison, weighted tempering factor

Media

stiff sawtooth wave, piano strings, sound files

Source status

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