Definitions of tuning terms

© 1998 by Joseph L. Monzo

All definitions by Joe Monzo unless otherwise cited


Ditone


    The interval consisting of two consecutive 9/8 whole tones.

    It has the ratio 81/64 (408 cents) and is also called the Pythagorean Major Third.

    [from John Chalmers, Divisions of the Tetrachord]

    . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

    Below is a diagram illustrating this description, on an approximate logarithmic scale. The ditone in this tetrachord occurs between "A" and "F".

    ratio vector 2 3 / A 1/1 -+- [ 0 0] / | \ 9/8 [-3 2] = tone | \ \ | \ /\ G 9/8 -+- [-3 2] 81/64 [-6 4] = ditone / | / 9/8 [-3 2] = tone | / \ | / \ F 81/64 -+- [-6 4] \ | 256/243 [ 8 -5] = limma E 4/3 -+- [ 2 -1] /


(to download a zip file of the entire Dictionary, click here)

  • For many more diagrams and explanations of historical tunings, see my book.
  • If you don't understand my theory or the terms I've used, start here
  • I welcome feedback about this webpage:
    corrections, improvements, good links.
    Let me know if you don't understand something.


    return to the Microtonal Dictionary index
    return to my home page
    return to the Sonic Arts home page