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Home > History and Archaeology > History > On the Sensations of Tone as a Physiological Basis for the Theory of Music
On the Sensations of Tone as a Physiological Basis for the Theory of Music

On the Sensations of Tone as a Physiological Basis for the Theory of Music


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This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1895 edition. Excerpt: ...either upwards or downwards, although the first is best suited to ascending and the last to descending progression, and hence the gaps of any one of them may be filled up with either the relations of F or the relations of g, or even one gap with those of F and the other with those of g. U The pitch numbers of the tones directly related to the tonic are of course fixed and unchangeable, because they are given by the condition that the tones should form consonances with the tonic, and are thus more strictly determined than by any more distant connection. On the other hand, the intercalary tones related in the second degree are by no means so precisely fixed. Taking c = 1, we have for the Second--1) the d derived from g = f, = 204 cents 2) the d derived from / = Y = If x If = 182 c6118 3) the d derived from / = = 112 cents Thus I cannot agree with Hauptmann, damental bass d. But this would indicate a in allowing a Pythagorean a, the Fifth above d, distinct modulation into 0 major, which is not in the ascending minor scale of c. D'Alembert required when the natural relations of the introduces the same tone even in the major tones to the tonic are preserved. See Haupt scale, by passing from g to b through the fun-mann, Harmonik uud Itctrik, p. 60. and for the Seventh--1) the b derived from g = = 1088 cents 2) the bf derived from g =, = 1018 cents 3) the b derived from / = V = x, = 996 cents Hence while h and r/ are given with certainty, and d are uncertain. Either of them may be distant from the tonic by the major Tone = 204 cents or the minor Tone V = 182 cents. In order henceforth to mark this difference of intonation with certainty and without ambiguity, we will introduce a method of distinguishing the tones determined by a...


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Product Details
  • ISBN-13: 9781230358628
  • Publisher: Theclassics.Us
  • Publisher Imprint: Theclassics.Us
  • Height: 246 mm
  • No of Pages: 374
  • Spine Width: 20 mm
  • Width: 189 mm
  • ISBN-10: 1230358625
  • Publisher Date: 12 Sep 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 667 gr

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