V. Chromaticism
62
Brian Jarvis
Key Takeaways
- The common-tone diminished seventh chord (CTo7) and common-tone augmented sixth chord (CT+6) have the same pitches as viio7 and Ger+6 but a different function: to embellish the upcoming chord (a major triad or dominant seventh chord, typically I or V).
- Common-tone chords are so named because they contain the root of (i.e., have a common tone with) the chord being embellished.
- In a four-voice texture, the fifth of the embellished chord is often doubled.
The common-tone diminished seventh chord (CTo7) and common-tone augmented sixth chord (CT+6) represent a completely different usage of two chords with which you are already familiar: viio7 and Ger+6. Whereas these chords typically function in a more progressive harmonic context, when employed as common-tone chords, they serve a purely embellishing function and are the result of the culmination of multiple simultaneous neighbor tones. Common-tone chords share a common tone with the chord being embellished, whereas viio7 and Ger+6 do not.[1] You can expect that the embellished chord will either be a major triad or sometimes a dominant seventh chord, and the Roman numeral will be either I or V. Minor triads can be embellished in this way too, but this is far less common, so this chapter will focus on major triads and dominant seventh chords only.[2]
Deriving a CTo7 chord from multiple neighbor tones
shows how a CTo7 chord is produced through the layering of simultaneous neighbor tones. In the first system, each three-measure unit applies a single neighbor tone to the tonic chord. The second system uses two neighbor tones at a time—here, each three-measure unit is still a single tonic chord throughout, just with two neighbors instead of one. The final system shows all three neighbors combined into a single chord: a CTo7 chord. Notice that the chord in the middle has a fully diminished quality, but if you try to wrangle it into being some type of viio7 chord, you’ll come up with [latex]\mathrm{vii}^{\circ}\begin{smallmatrix}4\\2\end{smallmatrix}/\mathrm{iii}[/latex]. The problem is, there is no iii chord to be found, so that analysis wouldn’t represent this music accurately.
https://musescore.com/user/32728834/scores/6224659/embed
Creating a CTo7 chord
Creating a CTo7 chord is a little different from spelling a traditional chord because it doesn’t have a root (similar to augmented sixth chords). To build one, focus on the neighboring aspect of the chord. Look again at the final system of and notice how the notes of the CTo7 chord relate to the tonic chord. The root of the tonic chord is also in the CTo7 chord—that’s the common tone. The fifth of the resolving chord is doubled because it is embellished by both upper and lower neighbor tones (G–A–G and G–F♯–G). Finally, the third of the tonic chord is embellished by its lower neighbor a half step below (E–D♯–E). Finally, look at how the third of the chord is embellished by its lower neighbor (E–D♯–E).
You can create a CTo7 chord by going through the following procedure:
- Find the root of the chord you want to embellish (this will be the common tone).
- Find the upper and lower neighbors to the fifth of the embellished chord.
- The upper neighbor will involve a whole step (major second).
- The lower neighbor will involve a half step (minor second).
- Find the lower neighbor (minor second in particular) of the third of the embellished chord.
Recognizing CTo7 when analyzing
Finding this chord in context involves being aware of all fully diminished seventh chords. For each fully diminished seventh chord you find, determine if it has a common tone with the chord it resolves to. If it doesn’t, then it should be some form of viio7 or an applied viio7 chord. If it does have a common tone, then it is a CTo7 chord. Remember, though, that if the fully diminished seventh chord is followed by a [latex]\mathrm{cad.^6_4}[/latex], you need to look past the [latex]\mathrm{cad.^6_4}[/latex] embellishment to its resolution to determine if there is a common tone (see ).
https://musescore.com/user/32728834/scores/6224667/embed
Resolving CTo7 to V7
When a CTo7 chord resolves to V7 instead of a V triad, the fifth of the V7 chord (re, [latex]\hat2)[/latex] is not doubled. Instead, the voice that moves from re to mi [latex](\hat2–\hat3)[/latex] in the CTo7 will continue upward to fa [latex](\hat4)[/latex] in the V7.
compares the re–mi–re [latex](\hat2-3-2)[/latex] line of the resolution to V with the re–mi–fa [latex](\hat2-\hat3-\hat4)[/latex] line of the resolution to V7.https://musescore.com/user/32728834/scores/6224768/embed
CTo7 with incomplete neighbors
The CTo7 is often preceded and followed by the same chord, producing complete neighbor tones in the pattern x−CTo7−x. However, the CTo7 chord may be preceded by a different chord instead (y−CTo7−x), and in such cases, one or more of the neighbor tones will be incomplete.
demonstrates this situation. Notice that the first CTo7 is surrounded by different chords: first I, then [latex]\mathrm{V^4_3}[/latex]. The arrow shows which chord the CTo7 is embellishing. Just like in complete-neighbor CTo7 contexts, the embellished chord is the one to focus on, not the preceding chord. This progression is an elaboration of the [latex]\mathrm{I-V^4_3-I^6}[/latex] progression that you’ve encountered with tonic prolongation but with CTo7 chords filling in the space between each chord providing a much more colorful version of what was a rather simple progression. When listening to , try to hear the underlying [latex]\mathrm{I-V^4_3-I^6}[/latex] progression as its underlying model.
https://musescore.com/user/32728834/scores/6224771/embed
Creating a CT+6 chord
The other category of common-tone chords you’ll encounter (especially in music of the later 19th century) is a German augmented sixth chord (Ger+6) that functions, like the CTo7, as an embellishing chord. The effect is similar to the CTo7, but a little darker, because all three neighbor tones are chromatic in this version instead of just two: a CT+6 chord uses a minor second neighbor above the fifth of the chord instead of a major second.
- Find the root of the chord you want to embellish (this will be the common tone). Tonic is the most common harmony to embellish with a CT+6 chord.
- Find the upper and lower neighbors to the fifth of the embellished chord. Both will be a half step.
- Find the lower neighbor (minor second in particular) of the third of the embellished chord.
When a CT+6 chord is embellishing a I chord (which is usually the case), you can think in terms of solfège to find the notes. The solfège is the same as for a Ger+6 chord: le–do–me/ri–fi [latex](\downarrow\hat6-\hat1-\downarrow\hat3/\uparrow\hat2-\uparrow\hat4)[/latex]. Because this chord is most often found in major keys, ri [latex](\uparrow\hat2)[/latex] would be a better spelling than me [latex](\downarrow\hat3)[/latex].
below shows both chords (CTo7 and CT+6) for comparison. Note that the common tone is not always the bass note and that the augmented sixth interval may be inverted to become a diminished third instead, but the chord is typically labeled CT+6 in both contexts.
https://musescore.com/user/32728834/scores/6224775/embed
Musical Examples
The introduction to Scott Joplin’s “The Sycamore” shows how a CTo7 can be sandwiched between a [latex]\mathrm{cad.^6_4}[/latex] and its resolution to V7 (
). It appears as though the bass is moving from D to F♯ and back to D, but the F♯ is not related to the functional bass of the passage.https://musescore.com/user/32728834/scores/8395287/embed
In
, Frederic Chopin uses a CT+6 in m. 8 at the conclusion of a parallel period that is occuring over a tonic pedal. This instance is a common-tone chord that is an incomplete neighbor, because the chord before it in measure 7 is V7 above the tonic pedal. Notice also that Chopin spelled the chord with a C♭ instead of a B♮. Spelling variants do happen with common-tone chords, but the B♮ spelling in this case would have clarified the neighboring function of that note with surrounding Cs in that voice.https://musescore.com/user/32728834/scores/8395353/embed
- Common-Tone Chords (.pdf, .docx.) Asks students to spell common tone chords, realize figured bass, complete 4-part voice leading with Roman numerals, and analyze a musical excerpt. Access audio (excerpt begins at 0:25).
- Ger+6 does have a common tone with [latex]\mathrm{cad.^6_4}[/latex], but not with the dominant chord that follows it, which is the actual destination chord. ↵
- The neighbor effect is somewhat less striking when embellishing a minor triad, since the third of the minor triad creates a second common tone with the embellishing chord. ↵
A tone that is present in more than one chord.
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A type of motion where a chord tone moves by step to another tone, then moves back to the original chord tone. For example, C–D–C above a C major chord would be an example of neighboring motion, in which D can be described as a neighbor tone. Entire harmonies may be said to be neighboring when embellishing another harmony, when the voice-leading between the two chords involves only neighboring and common-tone motion (as in the common-tone diminished seventh chord).
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