On the sensations of tone as a physiological basis for the theory of music / by Hermann L.F. Helmholtz ; translated, thoroughly revised and corrected, rendered conformable to the 4th (and last) German edition of 1877, with numerous additional notes and a new additional appendix bringing down information to 1885, and especially adapted to the use of musical students, by Alexander J. Ellis.

  • Hermann von Helmholtz
Date:
1895
Catalogue details

Licence: Public Domain Mark

Credit: On the sensations of tone as a physiological basis for the theory of music / by Hermann L.F. Helmholtz ; translated, thoroughly revised and corrected, rendered conformable to the 4th (and last) German edition of 1877, with numerous additional notes and a new additional appendix bringing down information to 1885, and especially adapted to the use of musical students, by Alexander J. Ellis. Source: Wellcome Collection.

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    LIST OF TABLES. -)*- Pitch Numbers of Notes in Just Major Scale, 17« [Scale of Harmonical, 17c, (7] [Analogies of notes of the piano and colours of the Spectrum, 18c?'] 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, 56« Proper Tones of circular elastic plates, 72« Proper Tones of Beils, 72c Proper Tones of Stretched Membranes, 735 Theoretical Intensity of the Partial Tones of Strings, 7 Pc [Yelocity in Sound in tubes of different diameters—Blaikley, 90(7] [Partiais of B\) Clarinet—Blaikley, 99c] [Harmonics of E\> horn, 99c7] [Compass of Registers of male and female voices—Behnke, 101(7] Vowel trigram—Du Bois Raymond, senior, 1056 Vowel Resonances according to Helmholtz and Donders, 1096 [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, 109(7] Willis’s Vowel Resonances, 117c [Relative force of the partials for producing different vowels, 124(7] Relation of Strength of Resonance to Alterations of Phase, 125a Difference of pitch, &c., necessary to reduce sympathetic Vibration to -fo of that pro- duced by perfect unisonance, 143« N umbers from which frg. 52 was constructed, 145« 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 cochlöa, 145(7 [Preyer’s distinguishable and undistin- guishable intervals, 147(7] First differential tones of the usual har- monic intervals, 154« [Differential tones of different Orders of the usual harmonic intervals, 155(7] Different intervals which would give 33 bcats of their primes, 172« [Pitch numbers of Appunn’s bass reeds, 1776] [Experiments on audibility of very deep tones, 17 7c] Coincident partials for the principal con- sonances, 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, 1876 [Upper partials of a just Fifth, 188(7] [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, 189c7and 1906, c] [Comparison of the upper* partials of a major and a minor Third, 190(7] [Comparison of the upper partials of all the usual consonances, pointing out those which beat, 1916, c] [Comparison of the upper partials of septimal consonances, involving the seventh partial, and pointing out which beat, 195c, (7] [General Table of the first 16 harmonics of (766, shewing how they affect each other in any combination, 197c, (7] Table of partials of 200 and 301, shewing their differential tones, 198c Table of possible triads, shewing consonant, dissonant, and septimal intervals, 2126, c Table of consonant triads, 214« [Tho first 16 harmonics of C, 214(7] [Calculation of the Combinational Tones of the Major Triads, 214(7] [Most of the first 40 harmonics of A, fo, 215c] [Calculation of the Combinational Tones of the Minor Triads, 215(7] [Calculation of the Differential Tones of the Major Triads in their most Perfect Positions, 219(7] [Calculation of the Combinational Tones of the Major Triads in the less Perfect Positions, 220(7] [Calculation of the Combinational Tones of a