Atonal "Modulation" Based on the Diatonic Set

概要

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The present paper proposes a hypothesis that, when we listen to atonal music, we try to refer every pitch-class set to a certain diatonic set. If this hypothesis is correct, it would be possible that calibrated probabilities are assigned to distances, or transpositions, between pitch-class sets on the circle of fifths according to some probabilistic model so that what Richmond Browne calls POSITION FINDINGS are systematically controlled in atonal contexts. In my piece Dum veneris, a "modulation" (transposition) of trichords or tetrachords occurs every measure in accordance with Poisson distribution.
一般社団法人情報処理学会の論文
1997-02-20