The following data overlays pitches in equal temperament (a piano tuned to be equally out of tune regardless of which key you use as the root of your chords, the fundamental), against frequencies that are harmonics of the fundamental.
Harmonics that are closer to the left will tend to be more pleasing to the ear (consonant, as opposed to dissonant). Every time you overlay two frequencies, it produces a third frequency: an overtone or undertone depending on whether it is above or below the primary tones. Dissonance occurs when an overtone soars toward the upper end of the spectrum of perceptible frequencies (around 20KHz), or rumbles low, close to the bottom end of the perceptible spectrum (around 16Hz).
A - 440 Hz Do
64/63 447.0 Hz | 64/63
33/32 453.8 Hz | 33/32
32/31 454.2 Hz | 32/31
64/61 461.6 Hz