LIST OF TABLES.

Pitch Numbers of Notes in Just Major Scale, 17a
[Scale of Harmonical, 17c, d]
[Analogies of notes of the piano and colors of the Spectrum, 18d']
Pitch of the different forms of vibration of a circular membrane, 41c
Relative Pitch Numbers of the prime and proper tones of a rod free at both ends, 56a
Proper Tones of circular elastic plates, 72a
Proper Tones of Bells, 72c
Proper Tones of Stretched Membranes, 73b
Theoretical Intensity of the Partial Tones of Strings, 79c
[Velocity of Sound in tubes of different diameters—Blaikley, 90d]
[Partials of B♭ Clarinet—Blaikley, 99c]
[Harmonics of E♭ horn, 99d]
[Compass of Registers of male and female voices—Behnke, 101d]
Vowel trigram—Du Bois-Reymond, senior, 105b
Vowel Resonances according to Helmholtz and Donders, 109b
[Vowel Resonances according to (1) Reyher, (2) Hellwag, (3) Flörcke, (4) Donders after Helmholtz, (5) Donders after Merkel, (6) Helmholtz, (7) Merkel, (8) Koenig, (9) Trautmann, 109d]
Willis's Vowel Resonances, 117c
[Relative force of the partials for producing different vowels, 124d]
Relation of Strength of Resonance to Alterations of Phase, 125a
Difference of pitch, etc., necessary to reduce sympathetic vibration to 1/10 of that produced by perfect unisonance, 143a
Numbers from which fig. 52 was constructed, 145a
Measurements of the basilar membrane in a new-born child, 145c
Alteration of size of Corti's rods as they approach the vertex of the cochlea, 145d
[Preyer's distinguishable and undistinguishable intervals, 147d]
First differential tones of the usual harmonic intervals, 154a
[Differential tones of different orders of the usual harmonic intervals, 155d]
Different intervals which would give 33 beats of their primes, 172a

[Pitch numbers of Appunn's bass reeds, 177b]
[Experiments on audibility of very deep tones, 177c]
Coincident partials for the principal consonances, 183a
Pitch numbers of the primes which make consonant intervals with a tone of 300 vib., 184c
Beating partials of the notes in the last table with a note of 301 vib., and number of beats, 184d
Disturbance of a consonance by altering one of its tones by a Semitone, 185c
Influence of different consonances on each other, 187b
[Upper partials of a just Fifth, 188d]
[Upper partials of an altered Fifth, 189c]
[Comparison of the upper partials of a Fourth and Eleventh, major Sixth and major Thirteenth, minor Sixth and minor Thirteenth, 189d and 190b, c]
[Comparison of the upper partials of a major and a minor Third, 190d]
[Comparison of the upper partials of all the usual consonances, pointing out those which beat, 191b, c]
[Comparison of the upper partials of septimal consonances, involving the seventh partial, and pointing out which beat, 195c, d]
[General Table of the first 16 harmonics of C66, showing how they affect each other in any combination, 197c, d]
Table of partials of 200 and 301, showing their differential tones, 198c
Table of possible triads, showing consonant, dissonant, and septimal intervals, 212b, c
Table of consonant triads, 214a
[The first 16 harmonics of C, 214d]
[Calculation of the Combinational Tones of the Major Triads, 214d]
[Most of the first 40 harmonics of A♭, 215c]
[Calculation of the Combinational Tones of the Minor Triads, 215d]
[Calculation of the Differential Tones of the Major Triads in their most perfect Positions, 219d]
[Calculation of the Combinational Tones of the Major Triads in the less Perfect Positions, 220d]
**[Calculation of the Combinational Tones of