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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    the Minor Triads in the most and less Perfect Positions of tlie Minor Triads, 221 cf, cf'] [Calculation of the false Oombinational Tones of Minor Tetrads in their best positions, 224cf] Ecclesiastical Modes, 245c, cf Partial Tones of the Tonic, 257« [Pentatonic Scales, 259c, cf] [Tetrachords 1 to 8, with intervals in cents, 263cf'] Greek Diatonic Scales, 267c [Greek Diatonic Scales with the intervals in cents, 268c] [Greek Diatonic Scales reduced to begin- ning with c, with the intervals in cents, 268cf'] Greek modes with the Greek Ecclesiastical and Helmholtzian names, 269« Later Greek Scale, 270« Tonal Keys, 270c Ecclesiastical Scales of Ambrose of Milan, 2715, c The Pive Melodie Tonal Modes, 2725 [The Seven Ascending and Descending Scales, compared with Greek, with inter- vals in cents, 274c, cf] [The different scales formed by a dif- ferent choice of the intercalary tones, 277c', cf'] The Eive Modes with variable intercalary tones, 278«, 5 [J. Curwen’s characters of the tones in the major scale, 2795, c] [Arabic Scale in relation to the major Thirds, 281cf'] Arahic Scales, 2825-283c [Prof. Land’s account of the 12 Arabic Scales, 284 note] Five Modes as formed from three chords each, 293cf, 294« The same with double intercalary tones, 297c, d The same, final form, 2985, c Trichordal Relations of the Tonal Modes, 309cf [Thirds and Sixths in Just, Equal, and Pythagorean Intonation compared, 313c] [Oombinational Tones of Just, Equal, and Pythagorean Intonation compared, 314cf] The Chordal System of Prof. Helmholtz’s Just Harmonium, 316c [Duodenary Statement of the tones on Prof. Helmholtz’s Just Harmonium, 317c, cf] The Chordal System of the minor keys on Prof. Helmholtz’s Just Harmonium, 318«, 5, cf [Table of the relation of the Cyclo of 58 to Just Intonation, 3295, c] [Tabular Expression of the Diagram, fig. 61, 332] [Table of Roughnoss, 333cf] Measurements of Glass Resonators, 373c Moasurements of resonance tubes men- tioned on p. 55«, 377cf Table of tones of a conical pipe of zinc, calculated from formula 393c [with sub- sidiary tables, 393cf and 394c] Table of Mayer’s observations on numbers of beats, 418« Table of four stops for a single manual justly intoned instrument, 421c Table of five stops for the same, 422« In the A dditions by Translator. Table of Pythagorean Intonation, 4335, c Table of Meantone Intonation, 4345 Table of Equal Intonation, 437e, cf Synonymity of Equal Temperament, 4385 Synonymity of Mr. Bosanquet’s Notes in Eifths, 439« Notes of Mr. Bosanquet’s Cycle of 53 in Order of Pitch, 4395, c, cf Expression of Just Intonation in the Cycle of 1200, p. 440 Principal Table for calculation of cents, 450«, Auxiliary Tables, 451« Table of Intervals not exceedingone Octave, 4535 Unevenly numbered Harinonics up to the 63rd, 457« Number of any Interval not exceeding a Tritone, contained in an Octave, 457c Harmonie Duodene or Unit of Modulation, 461« The Duodenärlum, 463« Fingerboard of the Harmonical, first four Octaves, with scheme, 4675, fifth Octave, 468cf Just Harmonium scheme, 470« Just English Concertiua scheme, 4705 Mr. Colin Brown’s Voice Harmonium Fingerboard and scheme, 471« Rev. Henry Liston’s Organ and scheme, 4735 Gen. Perronet Thompson’s Organ scheme, 473cf Mr. H. Ward Poole’s 100 tones, 474c Mr. H. W. Poole’s scheme for keys of F, G, G, 476« Mr. Bosanquet’s Generalised Keyboard, 480 Expression of the dogrees of the 53 divi- sion by multiples of 2, 5 and 7, p. 481c Typographical Plan of Mr. J. Paul White’s Fingerboard, 4825 Spechnens of tuning in Meantone Tem- perament, 484c Speciinens of tuning in Equal Tempera- ment, 4855 Pianoforte Tuning—-Fourths and Fifths, 486cf Cornu and Mercadier’s observation on Violin Intonation, 486c to 4875