HarmonyAdvanced3 min read

Substitution by thirds: diatonic, chromatic, and cycles of thirds

The idea

Replace a chord with another whose root is a third away (major or minor, above or below). There are two families:

  • Diatonic: the substitute chord stays in the scale and shares 2–3 notes (see the card on diatonic substitution).
  • Chromatic: the root moves by a third outside the scale (chromatic mediants, Coltrane changes, Tadd Dameron turnaround).

Diatonic substitutions by third (C major)

OriginalThird aboveThird below
Cmaj7Em7 (E G B D)Am7 (A C E G)
Dm7Fmaj7Bø7
G7Bø7Em7
Fmaj7Am7Dm7

Rule: the third below preserves the function better (Am7 for C, Dm7 for F); the third above produces a more "open" sound (Em7 for Cmaj7 = Cmaj9 without the root).

Chromatic substitutions by third

  • I → bIII or bVI (C: Ebmaj7, Abmaj7): suspended endings, cinematic tag.
  • Careful with dominants: a V7 is not substituted by a third (it would lose the tritone that defines it); it is substituted by tritone. By third you substitute arrival points (the local tonics) or insert new centers.
  • Cycle of major thirds (Coltrane): C – Ab – E, each prepared by its V7.
  • Cycle of minor thirds (octatonic axis): C – Eb – Gb – A: four centers that divide the octave into four; useful for modulating sequences and for "outside" improvisation.

The Tadd Dameron turnaround

Basic turnaround: | Cmaj7 A7 | Dm7 G7 |

  1. Tritone substitutions: | Cmaj7 Eb7 | Ab7 Db7 |
  2. The dominants become maj7: | Cmaj7 Ebmaj7 | Abmaj7 Dbmaj7 | → Cmaj7

The result I – bIII – bVI – bII is a descending-fifths movement (Eb → Ab → Db → C as a final half-step) with a mediant color. Dameron uses it at the end of Lady Bird.

Substitution by third in the bass (slash chords)

  • C/E in place of Em: the bass is the third, the function remains tonic.
  • Am/C = C6: the bass stays C while the chord moves a third below.
  • F/A in place of Am: subdominant with the relative-of-tonic in the bass, much used in gospel.

Musical example (C major, melody G)

ChordRole of GResult
Cmaj75neutral
Em7b3darker
Am7b7soft, "soul"
Ebmaj73bright and surprising (chromatic)
Abmaj7maj7dreamy (chromatic)

The same melody note can be harmonized with five chords a third apart: it is one of the quickest techniques for reharmonizing a chorus.

Exercise

  1. Choose a long note in your melody.
  2. List all the chords a third away from the original chord (diatonic and chromatic) that contain that note as a chord tone or tension.
  3. Try each with a pad; keep the one that creates the right emotional color for the lyrics.

Diatonic substitution, chromatic mediants, Coltrane changes, advanced reharmonization, harmony for film music.

Sources

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