The True Science of Music: Being a New Exposition of the Laws of Melody and Harmony

Voorkant
Cambridge University Press, 2011 - 514 pagina's
The physics of music has fascinated scholars and scientists since ancient times, from Pythagoras' concept of celestial harmony, to the work of Galileo, Mersenne, Euler and Ohm, culminating in the nineteenth century in Helmholtz's definitive work, On the Sensations of Tone. Daniel Chandler Hewitt (1789-1869) was a piano maker who also devised improvements to the seraphine (a form of reed organ). This idiosyncratic work, first published in 1864, only a year after Helmholtz's German text (also reissued in this series in the 1875 English translation), discusses the mathematics of musical intervals according to Hewitt's 'Triune', or three-fold, system of calculation using his Musical Ratiometer (included at the end of the volume). Musical examples, gathered at the end of the work, illustrate his arguments and include a close analysis of the intervals and chord structures of the Moonlight and the Appassionata piano sonatas by Beethoven.
 

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Inhoudsopgave

5 John Street Pentonville
5
The unit sound commonly called the grave harmonic or generated third
16
Classification and explanation of principal and subordinate basal transi
17
Systems of Sounds
26
Of the method of finding the ratio of single notes and chords which
50
Of the second period of the development of the triune system whence
64
Explanation of various matters preparatory to the introduction of
74
The Musical Ratiometer and its connexion with the triune system
84
11
139
Accent
144
Imitation fugue canon
154
50
159
Analysed examples with strictures
179
Further remarks upon the chord of the diminished or extreme b7th
215
New tables of logarithms and their adaptation to musical purposes
224
70
226

Analysis of musical phrases and passages extracted from the works
93
Rules relating to melody harmony and composition
127
On position Why the triune system is referred to its central and not
137
FIGURES AND DIAGRAMS
469
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