Music theory explores the principles that organize sound into meaningful expression. From the Pythagorean ratios of the Quadrivium to contemporary jazz and tango harmony, theory reveals the mathematical and perceptual structures underlying all music.

Core Domains

Three fundamental dimensions define the space of musical possibility:

  • Rhythm β€” Music in time: pulse, meter, syncopation, polyrhythm, groove
  • Harmony β€” Music in vertical space: intervals, chords, tonality, modes, voice leading
  • Melody β€” Music in horizontal space: contour, phrasing, scales, ornamentation, motif development

These three dimensions are interdependent: a melody implies harmony, harmony unfolds in rhythm, and rhythmic patterns shape melodic phrasing. Mastery lies in understanding each domain on its own terms and in their interaction.

  • Music β€” Parent topic
  • Quadrivium β€” Music as β€œnumber in time” in the classical liberal arts

3 items under this folder.

Harmony

Music in vertical space β€” intervals, chords, tonality, modes, voice leading, and the simultaneous relationships between sounds.

Melody

Music in horizontal space β€” contour, phrasing, scales, ornamentation, motif development, and the sequential unfolding of musical ideas.

Rhythm

Music in time β€” pulse, meter, syncopation, polyrhythm, groove, and the temporal structures that give music its forward motion.