
The harmonic relationships between the frequency ratios composing a chord are analysed to provide an easy way to evaluate the chord's harmonicity properties. The harmonic space is used to describe a chord, where the harmonic distance and the harmonic length and co-length inform us about the degree of the chord's resonance and its deviation from harmonic symmetry. The distribution of the harmonics relative to the common fundamental is quantified by the harmonic dispersion and is visualized from the chord spheroid, which also accounts for the harmonic asymmetry. Its opposite, the harmonic likeness, is correlated with the perception of consonance.