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| Hindemith's Chord Classifcations |
| I. |
no seconds, sevenths, or tritones (major and minor triads only) |
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I.1 |
root in bass |
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I.2 |
root above bass |
| II. |
at least 1 tritone, m7, and P5 or M3 |
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II.a. |
contains tritone and m7 (only),P5 or M3 (dom7 R357 and R37) |
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II.b.1 |
contains tritone, P5 or M3, and any M2 or m7, root in bass |
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II.b.2 |
as above but root is above bass |
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II.b.3 |
same as II.b.1 or II.b.2, but contains more than 1 tritone |
| III. |
no tritones, includes seconds and sevenths |
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III.1 |
root in bass |
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III.2 |
root above bass |
| IV. |
includes m2 and tritones |
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IV.1 |
root in bass |
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IV.2 |
root above bass |
| V. |
no tritone, root indeterminate (augmented triad, perfect quartal triad) |
| VI. |
contains tritone, root indeterminate (diminished triad, dim 7) |
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Notes:
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1.
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Sub-groups I, III, V form Group A (no tritones) |
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2.
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Sub-groups II, IV, VI form Group B (include tritones) |
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3.
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Hindemith suggests a possible subdivision of group III: III.a (excluding m2/M7) and III.b (including m2/M7) |
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