TL;DR: 24-EDO at a Glance

  • Notation: Commonly uses half-sharps (‡) and half-flats (d) to denote quarter-tone shifts.

Chromatic Scale

All 24 notes (quarter-tones):

  • C - C - C# - Dd - D - D - D# - Ed - E - Fd - F - F - F# - Gd - G - G - G# - Ad - A - A - A# - Bd - B - B

    Intervals

    The distance between two notes:

  • P1 Unisson 0 ¼ tone
  • art2 Arto 2nd 1 ¼ tone
  • m2 Minor Second 2 ¼ tones
  • n2 Neutral Second 3 ¼ tones
  • M2 Major Second 4 ¼ tones
  • art3 Arto Third 5 ¼ tones
  • m3 Minor Third 6 ¼ tones
  • n3 Neutral Third 7 ¼ tones
  • M3 Major Third 8 ¼ tones
  • sub4 Tendo Third / Sub Fourth 9 ¼ tones
  • P4 Perfect Fourth 10 ¼ tones
  • ov4 Over Fourth 11 ¼ tones
  • TT Tritone 12 ¼ tones
  • un5 Under Fifth 13 ¼ tones
  • P5 Perfect Fifth 14 ¼ tones
  • art6 Over Fifth / Arto Sixth 15 ¼ tones
  • m6 Minor Sixth 16 ¼ tones
  • n6 Neutral Sixth 17 ¼ tones
  • M6 Major Sixth 18 ¼ tones
  • art7 Tendo Sixth / Arto Seventh 19 ¼ tones
  • m7 Minor Seventh 20 ¼ tones
  • n7 Neutral Seventh 21 ¼ tones
  • M7 Major Seventh 22 ¼ tones
  • ten7 Tendo Seventh 23 ¼ tones
  • P8 Perfect Octave 24 ¼ tones

Triads

  • Arto Cart 0 - 5 - 14
    (C - D‡ - G)
  • Neutral CN 0 - 7 - 14
    (C - Ed - G)
  • Tendo Cten 0 - 9 - 14
    (C - E‡ - G)
  • UnderMajor Cv 0 - 8 - 13
    (C - E - Gd)
  • Overmajor C^ 0 - 8 - 15
    (C - E - G‡)

Triads

  • Overmajor C^ 0 - 8 - 15
    (C - E - G‡)
  • Underneutral CNv 0 - 7 - 13
    (C - Ed - Gd)
  • Overneutral CN^ 0 - 7 - 15
    (C - Ed - G‡)
  • Underminor Cmv 0 - 6 - 13
    (C - Eb - Gd)
  • Overminor Cm^ 0 - 6 - 15
    (C - Eb - G‡)

Triad Alterations

  • Ultra Triad (Upmajor): 0 - 9 - 14 (uses Ultra Third 450c).
  • Infra Triad (Downminor): 0 - 5 - 14 (uses Infra Third 250c).

Interactive 24-EDO Scale Explorer

Wicki-Hayden Keyboard (for Intuitive Instrument Exquis)