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Introduction to tuning systems, based on the cents system. Written by Terry Blackburn.
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Alternate Temperaments: Theory and Philosophy  D you will be taken there automatically very soon 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...
http://www.rdrop.com/users/tblackb/music/temperament/

Pitch Palette software tunes a microtunable synthesizer to just intonation, world scales, historic scales and user scales in real time.
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Justonic Tuning Inc. Home Page: Pitch Palette, just intonation, pure harmony, music history, music software  The wonderousness of the human mind is too great to be transferred into music only by 7 or 12 elements of tone steps in one octave shakuhachi master Masayuki Koga Enter...
http://www.justonic.com/

Written by Stephen Bicknell for the electronic mailing list Piporg-l.
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A beginner's guide to temperament  This essay first appeared on the electronic mailing list Piporg-l Temperament is one of those subjects that attracts a) buffs and b) incomprehensible jargon. The usual explanations start with an analaysis of the dreaded COMMA whether Pythagorean or Syntonic and...
http://www.users.dircon.co.uk/~oneskull/3.6.04.htm

The author presents a graphical tool for the visualization of consonance and dissonance, based on an acoustical model of the interaction of musical tones.
http://www.sohl.com/sohl/mt/maptone.html

Table comparing various temperaments, including Equal Temperament, Pythagorean, another natural tuning, two mean-tone tunings, two Well temperaments, two Indian tunings, and two Persian tunings.
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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,...
http://www.pcug.org.au/~apurdam/tempers.html

Excel spreadsheet that analyzes keyboard temperaments: gives beat rates for tuning, and harmonic-tension charts in all keys.
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Keyboard temperament analyzer/calculator Bradley Lehman  Keyboard temperament analyzer/calculator(free spreadsheet) History Purpose Features Flexibility Availability System Requirements Versions Commas and Temperament Units Why is temperament necessary? http www-personal.umich.edu/~bpl/temper.html or http how.to/tune Bradley Lehman, 9 April 2000 98 112 108 64 117 109 105 99 104 101...
http://www-personal.umich.edu/~bpl/temper.html

Tool for the study of temperament anomalies.
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Tantrum  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 represent their tuning? This depends...
http://www.well.com/user/smalin/tantrum.html

Construction of a reference center of scale measurements throughout the world.
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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...
http://www.anaphoria.com/depos.html

Article by Margo Schulter.
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Pythagorean Tuning and Medieval Polyphony Table of Contents  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,...
http://www.medieval.org/emfaq/harmony/pyth.html

Includes information on the differences between equal temperament and well temperament and why Bach rejected equal temperament and celebrated well temperament.
http://www.bestweb.net/~rmp

Article by David Courtney.
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Modes and Scales in Indian Music  The scale forms the basis of all music. This article will look at the differing concepts of scale in both the North and South Indian systems of music. It is well known that Indian music is based upon the concept...
http://chandrakantha.com/articles/scales.html

Center for microtonal music. Promotes microtonal music in all its forms
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Huygens-Fokker Foundation, centre for microtonal music  Foundation promotes the spread of microtonal music in all its manifestations....
http://www.xs4all.nl/~huygensf/english/

Paper on the history of the tuning system, as well as information about tuning a harpsichord in this system.
http://ha.kellner.bei.t-online.de

Lerdahl's cognitive constraints.
http://music.dartmouth.edu/~kov/lerdahl/EqTemp.html

Huge list of print books, magazines, and journal articles on tuning systems.
http://www.xs4all.nl/%7ehuygensf/doc/bib.html

Tunings used for harpsichords.
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Understanding Temperaments  Multimedia resources directory of Multimedia related websites Searchmusicnetwork.com WannaLearn OpenHere music-instruments-list Kapasearch, Theory and ear training and surely many others] The purpose of this short text is to give the reader a basic understanding of the various temperaments and tunings...
http://pages.globetrotter.net/roule/temper.htm

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.
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Tuning by Ratios  Tuning by Ratios A Paper on Computer Music by Robert Asmussen...
http://www.leeds.ac.uk/music/studio/rproj_swss/tuning/tuning.htm

An introduction to equal temperament for guitarists who have problems tuning their guitars.
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Equal Temperament Tuning  The following is a reprint of THE GUILD OF AMERICAN LUTHIERS data sheet #45. Many guitarists are frustrated because of their attempts to tune the guitar to pure chords (free of beats These particular players have very sensitive ears that...
http://users.adelphia.net/~cygnusx_1/equal_temperament.html

Basic introduction to the Pythagorean circle of fifths and the physical basis for the need for alternative tuning systems.
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A Tour Up The Harmonic Series  This article first appeared in 1/1, the Journal of the Just Intonation Network, Volume 3, Number 3, p.8 (1987 One way to understand Just Intonation is in terms of the harmonic series; every interval used in Just Intonation can be...
http://www.redshift.com/~dcanright/harmser/

Two academic papers, covering music before 1750, and music during the Classical and Romantic periods.
http://casaninja.com/christi/old/academic/classicaltuning.html

On the development of tuning systems in Medieval Europe (Kirnberger, Young, and mean-tone systems).
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An Introduction to Historical Tunings  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 Just Intonation Explained page seem to be attacking the great European musical tradition...
http://www.kylegann.com/histune.html

(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 instrument capable to produce those small intervals.
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Julián Carrillo y el Sonido 13  Preventing the abuse of alcohol and drugs, Human sexuality, Carl Sagan, Jorge Negrete, Mexico y porque era el alma ma l'alma de las mariposas Julian Carrillo and the 13th Sound a microtonal musical system Julin Carrillo y el Sonido 13:...
http://paginas.tol.itesm.mx/campus/L00280370/julian.html