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- W1996312114 abstract "We have explored some musical effects of tones with nonharmonic partials. The spacing of partials can be stretched so that each partial frequency fij present in tones sounded singly or together is given by fij=Ai/12+log2j. Here i is the scale step in semitones, j is the partial number, and A is the frequency ratio of a pseudo-octave (A=2 for a true octave). We find that subjects can match the keys of stretched (A=2.4) as well as unstretched passages. Stretched cadences (A=2.4) do not seem final. But, a stretched ’’cadence’’ with equally spaced partials that goes from closely spaced (tonally dissonant) to widely spaced (tonally consonant) partials does seem final. Our experiments do not decide finally among three views of harmony: that harmony depends on a fundamental bass or periodicity pitch (Rameau), that harmony depends on the spacing of partials (Helmholtz and Plomp) or that harmony is a matter of brainwashing." @default.
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- W1996312114 date "1980-11-01" @default.
- W1996312114 modified "2023-10-16" @default.
- W1996312114 title "Harmony and nonharmonic partials" @default.
- W1996312114 doi "https://doi.org/10.1121/1.385116" @default.
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