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Harmonics of Aristoxenus

Harmonics of Aristoxenus


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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1902 Excerpt: ...We see that the Nete and Mese differ in function from the Paranete and Lichanus, and the Paranete and Lichanus again from the Trite and Parhypate, and these latter again from the Paramese and Hypate; and 48 for this reason each pair has names of its own, though the contained interval is in every case a Fifth. Thus it is seen that a difference in the contained intervals is not necessarily implied by a difference of notes. That the converse implication is equally inadmissible will appear from the following remarks. In the first place, if we seek particular designations to suit every increase and decrease in the intervals of the Pycnum, we shall evidently need an infinite vocabulary, since the locus of the Lichanus is infinitely divisible. For as a matter of fact, to which of 49-7 the disputants as to the shades of the genera should we give our adherence? Every one is not guided by the same divisions in harmonizing the chromatic or enharmonic scale. Why then should the term Lichanus be applied to the twotone Lichanus rather than to one slightly higher? Whichever division be employed, the ear equally recognizes an enharmonic genus; yet it is plain that the magnitudes of the intervals are different in the two divisions. In the'48. 15 second place, if we have eyes exclusively for equality and inequality we shall miss the distinction between the like and unlike. Thus we shall have to restrict the term Pycnum to one particular magnitude; as likewise-evidently the terms Enharmonic and Chromatic; for they too are determined not to a point but to a locus. But it is evident that such a restriction is not in accordance with the mode in which sense forms its representations. It is by considering the common qualities found in some one class, not the magnitude of some one ...


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Product Details
  • ISBN-13: 9781153669207
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 56
  • Spine Width: 3 mm
  • Width: 189 mm
  • ISBN-10: 115366920X
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 118 gr

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