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William T. Cardwell Jr. Theory and Practice of Trumpet Air Column Design
About
This book (514 pages) is based on the trumpet research of William T. Cardwell Jr. At its core are his presentations, papers, and research documents, both published and unpublished. The author’s intent is to provide wider access to Cardwell’s research, and enable a technically capable reader to fully understand and apply the principles developed for the design and adjustment of trumpet air columns. Technical background and application notes that were not generally provided to the less
technically inclined have been provided. Material from his notebooks and files were added to address specific topics of interest that were heretofore only available for Bill’s private use, or were only provided in correspondence to a select few.
Gary J. Bast
Table of Contents
Chapter 1 – Trumpet Air Column Considerations
Details the development and application of equations for equivalent length of
mouthpiece and leadpipe including the design of Athena F trumpet. This includes concepts from D. J. Blaikley, Hermann von Helmholtz, Lord Rayleigh, Henri
Bouasse, T. H. Long, Philip Morse, F. J. Young, and Earle Kent.
Chapter 2 – Extra Human Testing
Methods and equipment to precisely measure the resonance frequencies wherean air column wants to vibrate.
Chapter 3 – Bell Design
Complete method, derivations, and examples for designing a bell stem to align modes and designing bell skirt flares to achieve desired tone quality.
Chapter 4 – Intonation Correction
Addresses how to adjust intonation, correcting a single mode without affecting others, perturbation theory, includes useful rules to identify, locate and correct bore faults, and simultaneous equation and Fourier transform approaches.
Chapter 5 – Various Topics
Includes parametric math for mouthpiece, backbore and leadpipe shapes, privileged frequencies (pedal tones), baroque natural trumpet considerations, an assessment of moving fractional acoustic location of the gap, and acoustic reference lists.
Chapter 6 – Appendix Mode Shift Curves
Mode shift theory, general perturber shapes and effects, perturber combinations for 2nd 3rd 4th 5th mode shifts, zig-zag, veers and long slant intonation shapes.
Chapter 7 – Appendix: Summary of Trumpet Design Process
This is a step-by-step guideline on “how to” design a trumpet referring back to specific sections of the book.
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Dive Deep into the math and physics behind trumpet acoustic design and adjustments.
$100.00