  To date, calculating the frequencies of musical notes requires one to know
the frequency of some reference note. In this study, first-order ordinary
differential equations are used to arrive at a mathematical model to determine
tonal frequencies using their respective note indices. In the next part of the
study, an analysis that is based on the fundamental musical frequencies is
conducted to theoretically and neurobiologically explain the consonance and
dissonance caused by the different musical notes in the chromatic scale which
is based on the fact that systematic patterns of sound invoke pleasure. The
reason behind the richness of harmony and the sonic interference and degree of
consonance in musical chords are discussed. Since a human mind analyses
everything relatively, anything other than the most consonant notes sounds
dissonant. In conclusion, the study explains clearly why musical notes and in
toto, music sounds the way it does.
