Counterpoint and voice leadingBeginner4 min read

Connecting root-position triads: common tones, contrary motion, and doublings

Definition

The first exercise of every harmony course is to connect two root-position triads in four voices (soprano, alto, tenor, bass) so that each voice moves in a singable and independent way. The rules that follow apply to the Classical chorale style and are the basis of all multi-part writing, from choral arranging to synth pads.

The three situations

How to connect depends on the distance between the roots.

1. Roots a fifth or a fourth apart (one common tone)

  • Hold the common tone in the same voice.
  • Move the other two upper voices by step to the nearest notes.
  • Example in C, I–IV: C–E–G → C–F–A. The C stays, E rises to F, G rises to A.

2. Roots a third apart (two common tones)

  • Hold both common tones; the third voice moves by step.
  • Example I–vi: C–E–G → C–E–A. Only the G moves.

3. Roots a second apart (no common tones)

  • The three upper voices move in contrary motion to the bass, to the nearest notes of the new chord.
  • Example IV–V: the bass rises F → G; the upper voices fall: C → B, A → G, F → D.

Doublings and spacing

  • In root position, preferably double the root.
  • Never double the leading tone (B in C major).
  • Maximum distance of an octave between soprano and alto and between alto and tenor; between tenor and bass it can reach a twelfth.
  • The fifth can be omitted (tripling the root), never the third.

The rules of motion

  • No parallel fifths or octaves (consecutive) between the same two voices.
  • Avoid hidden fifths and octaves between the outer voices, unless the soprano moves by step.
  • No crossing (the alto below the tenor) and no overlapping (a voice going beyond the note just left by the adjacent voice).
  • The leading tone, in the outer voices, rises to the tonic.
  • Avoid in any voice leaps of a seventh, augmented intervals, and the augmented second of the harmonic minor.

Complete example in C major: I–IV–V–I

VoiceIIVVI
SopranoCCBC
AltoEFDE
TenorGAGG
BassCFGC

I–IV: common tone C held, the other voices rise by step. IV–V: no common tone, the upper voices fall while the bass rises. V–I: the leading tone B rises to C, the D rises to E, the G stays.

In minor

Between VI and V (in A minor: F major → E major) the voice that has the F must not rise to G#: it would be an augmented second. This is solved by doubling the third of the VI (the A) and moving the upper voices as follows: one A falls to G#, the other A rises to B, the C rises to E. The bass falls F → E; no upper voice has the F, so neither the augmented second nor parallel octaves with the bass arise.

Common mistakes

  • Moving all the voices in the same direction as the bass: it is the most frequent cause of parallel fifths and octaves.
  • Abandoning the common tone for no reason, making the voices leap.
  • Doubling the third of the V (the leading tone).
  • Leaving too much distance between alto and tenor.

How to use it in composition

  • The same rules make pads and keyboard chords in pop flow smoothly: keep the common tones, move the rest only a little.
  • In a choral arrangement, voices that move by step are easier to sing and to tune.
  • The contrary-motion rule is the basis for avoiding the “block chord sound” on keyboards.

Exercise

  1. Connect in four voices in F major: I–vi–IV–V–I, following the three rules.
  2. Write the same progression in harmonic A minor and check the augmented second.
  3. Program the progression in the DAW first as root-position blocks and then with correct voice leading: compare the smoothness.

Connections

Voice-leading rules; SATB four-part writing; Root motion; Harmonizing a given bass; Voice leading in pop, pads, and synths.

Sources

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