Adaptive tunings for musical scales
作者:
William A. Sethares,
期刊:
The Journal of the Acoustical Society of America
(AIP Available online 1994)
卷期:
Volume 96,
issue 1
页码: 10-18
ISSN:0001-4966
年代: 1994
DOI:10.1121/1.410471
出版商: Acoustical Society of America
关键词: MUSIC;TUNING;ALGORITHMS;ADAPTIVE SYSTEMS
数据来源: AIP
摘要:
A fixed, octave‐based musical scale cannot remain faithful to the consonant simple integer ratio intervals and simultaneously be modulated to all keys. It is possible to reconcile these competing criteria, however, if the notes of the scale are allowed to vary. This paper presents a method of adjusting the pitches of notes dynamically, anadaptivetuning, that maintains fidelity to a desired set of intervals and can be modulated to any key. The adaptive tuning algorithm changes the pitches of notes in a musical performance so as to maximize consonance, which is calculated based on recent perceptual work. The algorithm can operate in real time, is responsive to the notes played, and can be readily tailored to the timbre (or spectrum) of the sound. This can be viewed as a generalization of the methods of just intonation, but it can operate without specifically musical knowledge such as key and tonal center and is applicable to timbres with nonharmonic spectra as well as the more common harmonic timbres.
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