Hindemith Chord Classification
Interval Vector Templates
I. 00xxx0
II.a. 00xxxy (y > 0)
II.b. 0yxxxy (y > 0)
III. yzxxx0 (y > 0 & z > 0, or y = 0 & z > 0, or y > 0 & z = 0)
IV. yxxxxy (y > 0)
V. xxxxx0 (root indeterminate)
VI. yxxxxy (y > 0; root indeterminate)
Notes:
1.
x >= 0 in all classifications.
2.
Classifications I-IV can be sub-divided into “root position” and “inverted” chords.
3.
Classification II can be further sub-divided to distinguish chords in which ic 6 is multiply represented.
Determining Chord Roots