Here are some links which you may find useful.

Tuning Systems

For my own essay on tuning see Tunings.  If you require further reading on tuning systems try the following sites :-

For a thoughtful, reflective and extensive article on Pythagorean Tuning and Medieval Polyphony there is an excellent article by Margo Schulter.  Her article is primarily from a musical and historical perspective.  Covers the development of just intonations, mean, and equal temperaments in the context of musical necessity.

For a comprehensive collection of links to microtonal web sites including the people involved and audio samples see John Starrett's Microtonal Music Page.

For extensive tuning data, tables of microtonal synthesizers and more see Microtonal Synthesis Home by John Loffink.

For modern theory of tonality see John Chalmers' web site.

For a dictionary of musical terms and tonality theory see Joe Monzo's web site.

For a brief summary article with audio examples see The Mathematics of Tuning and Temperament With audio examples by David Bartlett.

For an exposition of the relation of Fibonacci series to musical scale structures and the theoretical basis for scales with other than 12 notes per octave see Mathematical representations of musical tunings by John S. Allen.

Microtonal Music

For microtonal music to listen to try Jacob Barton's Microtonal Listening List.

Audio Synthesis

If you require further reading on audio synthesis try the following sites :-

Tutorial for Frequency Modulation Synthesis by Barry Truax.

Synthesizers, Music & Broadcasting by Yala Abdullah.

Fourier Theory

For an excellent intuitive (non mathematical) explanation of Fourier theory and the discreet Fourier transform (with source code) see Mastering the Fourier Transform in One Day by Stephan M. Bernsee.

For a helpful series of tutorials on the Fourier series, time and frequency domains, sampling and aliasing and the Discrete Fourier Transform see Vibrational Analysis Theory.

Other Links

Most people who enjoy microtonal music also like Traditional English Willow Baskets :-)

David Hembrow

Acknowledgements

I acknowledge the originators of all tuning systems for their work.  Where possible I have sought permission to use contemporary tuning systems from their originators and I am grateful for the permissions given.

I also wish to acknowledge all those people from whom I have received help and support during the development of the Midicode Synthesizer and this web site, in particular

Ray West for continuous advice, support and ideas throughout the project.
If you need high quality custom built video editing PCs, camera control equipment, battery belts or books on object oriented programming then please see Ray's web site at http://www.rwc.yertiz.com/.

Ramanan Selvaratnam for help and advice with the web site including e-commerce and PHP.

Jerry Noon for some helpful ideas and suggestions.  Brian Sanderson for insight into some underlying principles.  Barry Truax for helping me trace some articles. Margo Schulter for advice on tunings.  John Loffink, John Frazer and Cristiano Ceccato for useful feedback on the beta test version of the synthesizer.  Rick McGowan, Peter Leonard and Allan West for feedback on the beta test version of the oscilloscope.   John Chalmers for some helpful tips.  The staff of Burnham-on-Sea public library for obtaining many books and articles.