Tuning Systems
A Beginner's Guide to Temperament
Written by Stephen Bicknell for the electronic mailing list Piporg-l.
A Tour Up The Harmonic Series
Basic introduction to the Pythagorean circle of fifths and the physical basis for the need for alternative tuning systems.
Alternate Temperaments: Theory and Philosophy
Introduction to tuning systems, based on the cents system. Written by Terry Blackburn.
An Atlas of Consonance
The author presents a graphical tool for the visualization of consonance and dissonance, based on an acoustical model of the interaction of musical tones.
An Introduction to Historical Tunings
On the development of tuning systems in Medieval Europe (Kirnberger, Young, and mean-tone systems).
Comparison of Temperaments
Table comparing various temperaments, including Equal Temperament, Pythagorean, another natural tuning, two mean-tone tunings, two Well temperaments, two Indian tunings, and two P…
Equal Temperament Tuning
An introduction to equal temperament for guitarists who have problems tuning their guitars.
Historical Tuning
Includes information on the differences between equal temperament and well temperament and why Bach rejected equal temperament and celebrated well temperament.
Huygens-Fokker Foundation
Center for microtonal music. Promotes microtonal music in all its forms
Julian Carrillo and the Thirteenth Sound
(1875-1965), Mexican music creator of the microtonal system called the 13th Sound. He reformed the theory of music, invented a new musical written based in numbers and built instr…
Justonic Tuning Inc.
Pitch Palette software tunes a microtunable synthesizer to just intonation, world scales, historic scales and user scales in real time.
Keyboard temperament analyzer/calculator - Bradley Lehman
Excel spreadsheet that analyzes keyboard temperaments: gives beat rates for tuning, and harmonic-tension charts in all keys.
Tuning and Temperament Bibliography
Huge list of print books, magazines, and journal articles on tuning systems.
Tuning by Ratios
This paper explores the use of simple ratios to tune musical intervals and chords. Included are a tutorial, a set of computer programs, and a re-tuned two-part invention by J.S. Ba…
World Scale Depository
Construction of a reference center of scale measurements throughout the world.
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