IJPAM: Volume 67, No. 2 (2011)

THE MATHEMATICS OF MINOR KEYS

Yutaka Nishiyama
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa, Osaka, 533-8533, JAPAN
e-mail: nishiyama@osaka-ue.ac.jp


Abstract.Why is it that scales beginning with an A note feel sad? Seven-note scales are composed of five whole tones and two semitones. The position of the semitones determines whether the key is major or minor. Not all music in a minor scale necessarily sounds sad, but the arrangement of notes in major and minor scales plays a large role in determining the mood of music.

Received: December 6, 2010

AMS Subject Classification: 00A08, 00A65, 97A02

Key Words and Phrases: minor keys, major keys, whole tones, semitones, minor third, musical interval

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 67
Issue: 2