Website of the Huygens-Fokker Foundation, centre for microtonal music.

Play the harmonics that you hear! Complete midi, fretting, scales, instructions. LucyTuning is a microtuning system derived from pi, and the writings of John Longitude Harrison ...

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 ...

Historic music tuning problem described and solution provided with Pitch Palette software tunes a microtunable synthesizer to just intonation, world scales, historic scales and user scales in real time.

The American Festival of Microtonal Music director: Johnny Reinhard The AFMM produces and commissions works which use pitches and musical scales which are not organized in the standard twelve tone to the octave equally tempered way. These pieces cover ethnic, classical, avant-garde, rock, improvisational and experimental generes and probably several genres which haven't made their way into the ...

Just Intonation Explained By Kyle Gann 1. How Fractions Denote Pitches 2. How to Play with Intervals 3. How Is This Different from Our Normal Tuning 4. What Do Pure Intervals Sound Like An Introduction to Historical Tunings - a whole other subject Anatomy of an Octave: a reference chart of several hundred intervals within an octave 1. How Fractions Denote Pitches In the notation of ...

Overview of historical temperaments on keyboard instruments ...

Bibliography containing references to literature about musical tuning, temperament, scales, microtonality and intonation with links to relevant sites ...

Excel spreadsheet that analyzes keyboard temperaments: gives beat rates for tuning, and harmonic-tension charts in all keys.

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 ...

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 ...

A database of synthesizers, samplers, digital pianos, electronic instruments, portable keyboards, sound cards and software synthesizers with user programmable microtonal scales or tunings: just intonation, non-12 equal temperament, well temperament, xenharmonics, etc. Microtonal Synthesizers Chart Terms and Definitions Synthesizer Help Page: Tips, Links and Information Microtonal Scales ...

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 ...

Discography of microtonal and xenharmonic music with links to relevant sites ...

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 ...

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.

The natural harmonies in the 34-tone equal-temperament scale are described.

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 - ...