  In classical music and in any genre of contemporary music, the tonal elements
or notes used for playing are the same. The numerous possibilities of chords
for a given instance in a piece make the playing, in general, very intricate,
and advanced. The theory sounds quite trivial, yet the application has vast
options, each leading to inarguably different outcomes, characterized by
scientific and musical principles. Chords and their importance are
self-explanatory. A chord is a bunch of notes played together. As far as
scientists are concerned, it is a set of tonal frequencies ringing together
resulting in a consonant/dissonant sound. It is well-known that the notes of a
chord can be rearranged to come up with various voicings (1) of the same chord
which enables a composer/player to choose the most optimal one to convey the
emotion they wish to convey. Though there are numerous possibilities, it is
scientific to think that there is just one appropriate voicing for a particular
situation of tonal movements. In this study, we attempt to find the optimal
voicings by considering chords to be points in a 3-dimensional cartesian
coordinate system and further the fundamental understanding of mathematics in
music theory.
