By Ernst Levy, Siegmund Levarie
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Extra info for A theory of harmony
What is the organizing force? A current sent through the agglomeration, creating what could be compared to a magnetic field. " The result is a whole, a specific morphé or Gestalt. A chord is born through a certain individualization of partial tones. ) This may be illustrated by experiment, but of course only for the ascending series. Nature realizes here only half of the polarity principle, for the obvious reason that a string cannot multiply itself. Play a note, say, C. * Yet that tone is one.
Consequently we may begin our multiplication with 1/16 instead of 1/1, simply indicating the octave signatures of the notes we would obtain if we started with 1/1. The experimental series will thus run: 1/16 2/16... 16/16; the intended series: 1/1 2/1... 16/1. The result is the following series: We write this series on graph paper, starting from 1/1 c and proceeding downward. It will be noticed that the term overtones has not been mentioned. Our first, ascending series is, of course, identical with that produced by the natural phenomenon of the overtones, but we disregard this fact to which we assign the meaning of a coincidence.
This scale cannot be projected into the basic cadence; no perfect triad for the dominant being available, the phrygian scale cannot be harmonized tellurically. It can, however, be Page 17 harmonized in absolute conception, but then it is no more telluric phrygian but telluric aeolian:* Page 19 3. The Triad To Shang-Ti, the Highest, To the Six Honoured Ones, To the Mountains and Waters, and To the host of Spirits.... Shu-King Page 21 What is a chord? An organized agglomeration of tones. What does that mean?