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.
Recommended Citation
Eckstrom, Patricia, "Revealing Math in Music via Modulo" (2018). Academic Excellence Showcase Schedule. 210.
https://digitalcommons.wou.edu/aes_event/2018/all/210
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.