Tuning Systems
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Pythagorean Tuning and Medieval Polyphony - Table of Contents
Pythagorean Tuning and Medieval Polyphony Table of Contents Introduction Remarks and acknowledgements Basic concepts Pythagorean tuning and Gothic polyphony Simple vertical intervals Ideal fifths and fourths Active thirds and sixths Milder major seconds and minor sevenths Coloristic harmony Stable trines (8/5, 8/4) The split fifth (5/3) Quintal/quartal sonorities (9/5, 5/4, 5/2, 7/4) Cadential ...
 www.medieval.org/emfaq/harmony/pyth.html reviews
Tuning & temperament bibliography
Bibliography containing references to literature about musical tuning, temperament, scales, microtonality and intonation with links to relevant sites ...
www.xs4all.nl/%7ehuygensf/doc/bib.html reviews
Alternate Temperaments: Theory and Philosophy
Alternate Temperaments: Theory and Philosophy (The beginner's field guide to alternate temperaments) Introduction Very, very brief history Circle of fifths and the harmonic series Do the Math... The Comma Why equal temperament Why study alternate temperaments My temperament analysis project Analysis of historic temperaments Footnotes Merchandise! DISCLAIMER INTRODUCTION: Are you feeling just a ...
www.rdrop.com/users/tblackb/music/temperament/ reviews
An Introduction to Historical Tunings
An Introduction to Historical Tunings By Kyle Gann 1. Tuning in Pre-20th Century Europe 2. Meantone Tuning 3. Werckmeister III and Bach's W.T.C. 4. Well Temperament and 18th-Century Music 5. A Word about Pythagorean Tuning 6. Conclusion Just Intonation - a whole other subject 1. Tuning in Pre-20th Century Europe Those who attack equal temperament, the tuning of our modern pianos - as I do on my ...
home.earthlink.net/~kgann/histune.html reviews
Tantrum
Tantrum: A Tool for the Study of Temperament Anomalies Download tantrum.sea.hqx (60K) -- Macintosh freeware Go to Music Animation Machine main page Send us email Tantrum Description Because musical pitch classes repeat at the octave, the gamut of pitch classes may be conveniently arrayed around a circle. Where, precisely, on the circle should the pitch classes be placed in order to accurately ...
www.well.com/user/smalin/tantrum.html reviews
World Scale Depository
WELCOME TO THE WORLD SCALE DEPOSITORY AT THIS STAGE, WE ARE IN THE BEGINNING STAGE OF ASSEMBLING A WORLD BANK OF SCALES. OUR CONCERN IS MASSING TOGETHER THE RAW DATA OF DIFFERENT TUNINGS FOUND AROUND THE WORLD. IT IS A TASK BEYOND THE CAPABILITIES OF EVEN A HOST OF VOLUNTEERS AND RELIES ON THOSE AT LARGE TO AUGMENT OUR OWN RESEARCH WITH SUBMISSIONS. SUCH SUBMISSIONS ARE INDISPENSABLE IF SUCH A ...
www.anaphoria.com/depos.html reviews
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. Bach.
www.leeds.ac.uk/music/studio/rproj_swss/tuning/tuning.htm reviews
Comparison of Temperaments
Press play for Albeniz' Aragon from his Suite Espanola. Comparison of Temperaments Below is a table comparing various temperaments, including Equal Temperament, Pythagorean, another natural tuning, two mean-tone tunings, several Well temperaments, two Indian tunings, two Persian tunings. The discussion is carried out using the key of C as example. By compare, I mean with respect to using - say - ...
www.pcug.org.au/~apurdam/tempers.html reviews
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Just Intonation