Lesson 32: Common-Tone Diminished Sevenths

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Key Takeaways

  • A common-tone diminished seventh (CT°7) shares its root note with the chord it resolves to (almost always root-position tonic); a leading-tone diminished seventh resolves with no common chord tones — every voice moves by step
  • CT°7 has no true root and no Roman numeral — spelling is irrelevant; leading-tone °7 spelling is destiny (root = leading tone, must resolve up by half-step)
  • When viio7/V resolves to a cadential 6-4, the apparent "common tone" (scale degree 1) is a suspension, not a chord tone — this is still a leading-tone °7, not a CT°7

Two Types of Diminished Seventh Chords ▶ 3:00

Leading-tone vs. common-tone °7 resolution comparison

Feature Leading-Tone °7 Common-Tone °7
Label viio7 (or applied) CT°7
Root Leading tone None (no RN)
Common tones with resolution None 1 (the root of target chord)
Spelling Matters — determines root Irrelevant
Frequency Very common Rare, esp. before 1825
Typical resolution Any consonant chord Root-position tonic
Function Dominant ~Subdominant
  • CT°7 named for the common tone it shares with its resolution chord — almost always in the bass
  • CT°7 sounds subdominant-like: scale degree 1 held in bass throughout, scale degree 6 resolves down to 5 (same behavior as IV)

CT°7 vs. IV6–4 subdominant comparison


Identifying CT°7 vs. Leading-Tone °7 by Ear ▶ 14:53

Voice leading comparison over tonic pedal

  • CT°7: scale degrees 3 and 5 in the tonic chord are approached from below by half-step
  • Leading-tone °7 (over tonic pedal): scale degrees 3 and 5 are approached from above by half-step

Less Common CT°7 Situations ▶ 16:02

  • CT°7 can resolve to an inverted triad (not just root-position tonic) — the common tone is still the root of the target chord; see Das sieht' so aus analysis ▶ 17:00
  • CT°7 can resolve to V7: all upper voices move up by half-step; best analyzed as lower neighbors (B, D, G#) to V7 chord tones — CT°7 label optional since figured bass covers it

The "Apparent Exception" Rule ▶ 21:03

Beethoven Op. 31/3 — viio7/V to cadential 6-4

  • viio7/V → cadential 6-4: scale degree 1 appears as a common tone, but cadential 6-4 tones are non-chord tones — the scale degree 1 is a suspension that resolves to the leading tone
  • Rule stands: leading-tone °7 never resolves with a common chord tone

CT°7 vs. Other Diminished 7ths

CT°7 Applied °7 (vii°7/x) Diatonic vii°7
Function Prolongation / embellishment (~subdominant color) Dominant of a secondary key Dominant of the home key
Resolution Resolves to the chord whose root it shares (usually root-position I) Resolves to its tonicized chord (e.g., vii°7/V → V) Resolves to I
Common tone? Yes — one note (usually the bass) is retained in the resolution chord No — all voices move by step No — all voices move by step
How to identify Look for a bass pedal or held note that belongs to both the °7 and its resolution; no Roman numeral Root is a half-step below the tonicized chord's root; labeled vii°7/x Root is the leading tone of the home key; labeled vii°7
  • If a fully diminished 7th chord shares a note with its resolution chord, it is almost certainly a CT°7
  • If every voice moves (especially the root resolving up by half-step), it is a leading-tone type — determine diatonic vs. applied by checking whether the target chord is tonic or a secondary harmony

Worked Examples

  • Schubert, String Quintet in C major — same °7 chord used first as CT°7 (→ I), then as viio7/V (→ V): ▶ 0:12
  • Brahms, Symphony No. 3 — most famous CT°7 in the canon, bass pedal on F throughout: ▶ 8:32
  • Delibes choral piece — CT°7 with accented NCTs creating a complete dominant 7th over tonic pedal: ▶ 12:09
  • Tchaikovsky, Symphony No. 6 — CT°7 in basic idea + viio7/V → cadential 6-4 exception: ▶ 23:41

Supplementary context from Kostka & Payne, Tonal Harmony (8th ed.), Ch. 24.

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