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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
A mathematical system of musical sounds

A mathematical system of musical sounds

Diaconescu, Stefan Stelian

Paperback

Music Instruction: General

ISBN10: 1537034766
ISBN13: 9781537034768
Publisher: Createspace
Published: Aug 15 2016
Pages: 216
Weight: 0.65
Height: 0.46 Width: 5.98 Depth: 9.02
Language: English
The relation between music and mathematics is well known for about two thousand and a half years, but new ideas can always emerge. The present paper tries to present this relation in a new perspective. First of all, we will give mathematical definitions of some musical notions like: musical sounds, musical scale, musical gamut, musical mode, relative gamut, chromatic gamut, musical piece, transposition. Secondly, we will introduce some new principles, like the dissonance principle which allows a quantitative measure of the dissonance of a set of any sounds, the principle of natural system construction which allows building a set of natural sound systems, and the third principle, the sorting principle, which explains how the natural heptatonic scale could be deduced. Based on these three principles, we will finally give a quantitative measure of the fact that temperament musical sound system is accepted today and a quantitative comparison between temperament system and natural system.

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