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 where

an 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.