Hornbostel Opera Omnia - download pdf or read online

By Otto Abraham, E. M. Von Hornbostel (auth.), Klaus P. Wachsmann, Dieter Christensen, Hans-Peter Reinecke (eds.)

ISBN-10: 9401016763

ISBN-13: 9789401016766

ISBN-10: 940101678X

ISBN-13: 9789401016780

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Sample text

The accuracy of this method is more than adequate. 3 cps. In Table II (columns III-VII) we use 43 the average values of, respectively, two single rows, which are assembled in Table I. It is justifiable to relate the intervals to the fifth as well as the fundamental and to summarize both rows, because of the frequent modulation into the dominant key - a matter for later discussion. 6 Also, the calculated values conspicuously coincide. One example can demonstrate that two tones a fifth apart, but only these two tones, considered as fundamentals coincide in their values.

Instrumentalleitern," which we obtain when tones found on instruments with set tunings are arranged according to pitch. There are manifold relationships between the three kinds of scale. The various gebrauchsleitern constitute 17 the material for the observations from which we can abstract a law of interval sequence by grouping together a number of similar scales, without regard to small differences; depending on our toleration of narrow or broad error margins, we arrive at a larger or smaller number of empirical laws.

Instrumentalleitern / Table III. riert/I III Chin I I Tempered I Chin I 0 100 200 300 400 500 600 700 800 900 1000 1200 - 0 230 314 - 387 496 - 701 879 - 1203 IV Rein/ Pure 0 112 f82 231 316 - 386 498 583 702 814 - 884 996 1200 I V Gekkin I 0 189 339 502 697 - 851 876 1018 1200 I I I I Pythagorean VI Shuang Chin 0 182 - 345 500 - 681 - 847 1021 1200 VII Pythagoreisch/ 0 90 180 294 - 498 588 678 792 - 882 996 1200 mit der groBten Vorsicht. Die Septime scheint zu groB und stimmt mit der (kleinen) pythagoreischen Septime (1020 Cents) iiberein.

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Hornbostel Opera Omnia by Otto Abraham, E. M. Von Hornbostel (auth.), Klaus P. Wachsmann, Dieter Christensen, Hans-Peter Reinecke (eds.)

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