Minor-Seventh Superimpositions

Worked example: Em7 over Dm7

Em7 = E-G-B-D

Against D:

E = 9
G = 11
B = 13
D = 1

This is almost a complete map of Dm7’s upper diatonic world. Now reorder the object as B-D-E-G. The harmonic content is unchanged, but the melodic intervals are different. Superimposition gives you stable pitch organization without forcing one arpeggio order.

Em7 over Dm7: 9-11-13-1, resolving through G7 to Cmaj7.

X:1
M:4/4
L:1/8
K:C
V:RH clef=treble
[EGBd]8 | [Bdf]8 | [EGB]8 |]
V:LH clef=bass
D,,8 | G,,8 | C,,8 |]

Em7 over Dm7: 9-11-13-1, resolving through G7 to Cmaj7. Same voicing, arpeggiated instead of stacked.

X:1
M:4/4
L:1/8
K:C
V:RH clef=treble
E2 G2 B2 d2 | B2 d2 f2 z2 | E2 G2 B2 z2 |]
V:LH clef=bass
D,,8 | G,,8 | C,,8 |]

The same four notes reordered as B-D-E-G -- identical harmony, different melodic shape.

X:1
M:4/4
L:1/8
K:C
V:RH clef=treble
[Bdeg]8 | [Bdf]8 | [EGB]8 |]
V:LH clef=bass
D,,8 | G,,8 | C,,8 |]

The same four notes reordered as B-D-E-G -- identical harmony, different melodic shape. Same voicing, arpeggiated instead of stacked.

X:1
M:4/4
L:1/8
K:C
V:RH clef=treble
B2 d2 e2 g2 | B2 d2 f2 z2 | E2 G2 B2 z2 |]
V:LH clef=bass
D,,8 | G,,8 | C,,8 |]

Minor-seventh chords are four-note harmonic objects. Dm7 + Em7 gives 9-11-13-root and immediately suggests melodic shapes richer than a triad. Treat the m7 structure as an object that can be inverted, sequenced, and displaced rather than as four unrelated available notes.

The mental model

Keep three things separate while you work: function, object, behavior. Function is the underlying harmonic job of the chord. The object is the structure you choose to place above it. Behavior is what you do with that object through time. Confusion often comes from collapsing these levels. A scale, a voicing, and a melodic phrase may contain similar pitches, but they are not the same kind of musical thought.

At first, say the relationships aloud. Then shorten the verbal description. Eventually the sound itself should trigger recognition. The purpose of analysis is compression: a complicated sonority becomes a small object with a known effect.

Diagnostic practice

Use three tempos. At the first, stop after every chord and explain the sound. At the second, keep time but restrict the right hand to one object. At the third, improvise freely while preserving the chapter’s idea. If the concept disappears as the tempo rises, the problem is not speed; the relationship has not yet been internalized.

Record yourself. On playback, ignore what you intended to play and ask what is actually audible. Can you hear the underlying function? Can you hear the upper object? Does tension resolve, or merely stop? Does the phrase sound like music, or like a demonstration?

A useful failure

If an exercise sounds awkward, do not immediately abandon the structure. Change only one variable: inversion, register, rhythm, duration, or resolution. This is an important habit. Many apparently ‘bad’ harmonic choices are really bad placements of potentially useful material.

From exercise to vocabulary

After the written exercise, create three variants: one simpler, one rhythmically different, and one that begins from a different inversion. The goal is to prove that you own the relationship rather than the exact notes on the page.

Reflection

Before leaving the chapter, answer four questions without the piano: What is the underlying function? What is the superimposed object? What interval color does it create? Where does its strongest tension want to move?

Relationship drill

Write one concrete example from this chapter in the form:

underlying harmony + superimposed object -> pitch names -> interval degrees -> likely destination

Then play the four stages in reverse order: imagine the destination, hear the tension that would lead there, identify an object containing that tension, and finally play it over the underlying chord. This reverse drill turns analysis into a generative skill.

At the piano

• Play the underlying ii-V-I with the sparsest left hand that still makes the function clear.
• Play the chapter’s upper structure as a block, then in every practical inversion.
• Name every right-hand note as an interval against the underlying root.
• Turn the same structure into a one-bar line with at least one change of direction and one repeated note.
• Resolve the most tense note deliberately. If possible, compare semitone-up and semitone-down resolutions.
• Record the left hand and improvise for two minutes using only the chapter’s organizing idea.

Ear check

Close your eyes before the final repetition. Hear the intended color before playing. If you cannot, reduce the structure to two notes, sing them, and rebuild the full object.

Explain what you played

State the function, the superimposed object, the interval set it creates, and at least one voice-leading destination. Advanced technique does not exempt you from this step; conceptual clarity is a separate skill.