Title

Revealing Math in Music via Modulo

Date

5-31-2018 4:20 PM

End Time

31-5-2018 4:40 PM

Location

HWC 204

Session Chair

Cheryl Beaver

Session Chair

Leanne Merrill

Session Title

Mathematics Capstone Project Presentations

Presentation Type

Presentation

Faculty Sponsor(s)

Matthew Ciancetta

Abstract

The basics of music with respect to intonation, key, count, and note length are examined to establish its connection to the mathematical modulo operation. In particular, the remainders given by the modulo operation are used to deduce the pitch value of notes. Furthermore, these modulo remainders play a role in the musical operation of inversion - a reflection of a collection of pitch values about a note p. Additionally, an example of how prime numbers can be used to create music as a series of notes will be demonsrated.

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May 31st, 4:20 PM May 31st, 4:40 PM

Revealing Math in Music via Modulo

HWC 204

The basics of music with respect to intonation, key, count, and note length are examined to establish its connection to the mathematical modulo operation. In particular, the remainders given by the modulo operation are used to deduce the pitch value of notes. Furthermore, these modulo remainders play a role in the musical operation of inversion - a reflection of a collection of pitch values about a note p. Additionally, an example of how prime numbers can be used to create music as a series of notes will be demonsrated.