Abstract
The concept of dissonance and consonance in music is established from two or more simultaneous notes. There are
multiple approaches into dissecting this concept; some of these are acoustical, psychological, and mathematical. We
developed an Interval Dissonance Rate (IDR) – an innovative tool that integrates musical and mathematical analyses
in non-monophonic Western music, using interval vectors and the frequency of recurrent pitches in the vectors to
determine the percentage of dissonant and consonant intervals. Two tonal pieces with musical chromaticism by
Frédéric Chopin and Alexander Scriabin are used for IDR analysis. According to results, the IDR of Chopin’s Étude
Op. 10 No. 2 is equal to 17.65%, while the IDR of Scriabin’s Prelude Op. 11 No. 2 is equal to 29.37%. The IDR also
allows one to look for intervallic patterns of various composers and in music of specific genres.
