Cris Forster established The Chrysalis Foundation, a public 501(c)3 nonprofit foundation. The Chrysalis Foundation supports instrument builder and composer Cris Forster, who wrote Musical Mathematics.




          Established in 1982, The Chrysalis Foundation is a 501(c)3 nonprofit arts and education organization that encourages the creation of new acoustic musical instruments, and supports compositions and performances for these instruments.


          The Foundation is accomplishing these goals through the work of master builder, composer, and writer Cris Forster, whose original acoustic instruments are designed to explore new tunings in just intonation.


          We are devoted to the idea that the future of music depends on the integration of timbres and tunings as raw ingredients in an expanding, flexible, and highly nuanced tonal palette. By recognizing the art of tuning as a variable rather than a constant, music can once again become a vital force capable of expressing and addressing the complexities of our modern minds and spirits.


© 1982–2020 The Chrysalis Foundation

All rights reserved.  The graphics and texts contained within this website may not be copied, republished, or translated in whole or in part without written permission from the Chrysalis Foundation.






          It is impossible to speak a language without sounding the letters that spell the words of verbal expression.
          It is impossible to play an instrument without sounding the ratios that measure the intervals of musical expression.


-Cris Forster





Kickstarter Article








PTC Mathcad Article








Building New Chrysalis II


October 2013–March 2015








San Francisco Classical Voice Article







YouTube Just Intonation Music Videos






We are pleased to announce that Cris Forster’s book,

Musical Mathematics: On the Art and Science of Acoustic Instruments,

is available at click New or Used.





Musical Mathematics is also available in more than 140 libraries throughout the US, and in Canada, Mexico, United Kingdom, Denmark, Germany, Switzerland, Turkey, Singapore, Hong Kong, New Zealand, and Australia.




Musical Mathematics is the definitive tome for the adventurous musician. Integrating mathematics, music history, and hands-on experience, this volume serves as a comprehensive guide to the tunings and scales of acoustic instruments from around the world. Author, composer, and builder Cris Forster illuminates the mathematical principles of acoustic music, offering practical information and new discoveries about both traditional and innovative instruments. With this knowledge readers can improve, or begin to build, their own instruments inspired by Forster’s creations shown in the 16 color plates. For those ready to step outside musical conventions and those whose curiosity about the science of sound is never satisfied, Musical Mathematics is the map to a new musical world.


Publisher: Chronicle Books
Release Date: July 14, 2010
Hardcover, cloth case, and dust jacket
Sewn binding
8¾ x 11⅛ x 1.9 in
944 pp
16 color plates
249 figures
105 tables
4 bibliographies
8 appendices
Comprehensive index


Table of Contents  [PDF]

Look Inside!  [PDF]

Bibliography  [PDF]
Index  [PDF]


Seven Extensive Reviews  [PDF]
Thirteen Short Reviews  [PDF]


50+ Online PDF Citations