Title: Further Development of "Non-Pythagorean" Musical Scales Based on Logarithms
Abstract: We offer some refinements to the logarithmic series and a resulting non-Pythagorean musical scale, as given by Robert Schneider, the former of which we treat analogously to the harmonic series. In order to yield pleasing resonances within chords in this logarithmic mode, we produce two subseries of the logarithmic series and some logarithmic musical scales, all of which contain many of their beat frequencies. We also demonstrate that a beat scale which contains all its beat frequencies necessarily consists solely of integer ratios.
Publication Year: 2018
Publication Date: 2018-04-22
Language: en
Type: preprint
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