4.9: 6/4 Chords as Forms of Prolongation
- Page ID
- 232680
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\(\newcommand{\avec}{\mathbf a}\) \(\newcommand{\bvec}{\mathbf b}\) \(\newcommand{\cvec}{\mathbf c}\) \(\newcommand{\dvec}{\mathbf d}\) \(\newcommand{\dtil}{\widetilde{\mathbf d}}\) \(\newcommand{\evec}{\mathbf e}\) \(\newcommand{\fvec}{\mathbf f}\) \(\newcommand{\nvec}{\mathbf n}\) \(\newcommand{\pvec}{\mathbf p}\) \(\newcommand{\qvec}{\mathbf q}\) \(\newcommand{\svec}{\mathbf s}\) \(\newcommand{\tvec}{\mathbf t}\) \(\newcommand{\uvec}{\mathbf u}\) \(\newcommand{\vvec}{\mathbf v}\) \(\newcommand{\wvec}{\mathbf w}\) \(\newcommand{\xvec}{\mathbf x}\) \(\newcommand{\yvec}{\mathbf y}\) \(\newcommand{\zvec}{\mathbf z}\) \(\newcommand{\rvec}{\mathbf r}\) \(\newcommand{\mvec}{\mathbf m}\) \(\newcommand{\zerovec}{\mathbf 0}\) \(\newcommand{\onevec}{\mathbf 1}\) \(\newcommand{\real}{\mathbb R}\) \(\newcommand{\twovec}[2]{\left[\begin{array}{r}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\ctwovec}[2]{\left[\begin{array}{c}#1 \\ #2 \end{array}\right]}\) \(\newcommand{\threevec}[3]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\cthreevec}[3]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \end{array}\right]}\) \(\newcommand{\fourvec}[4]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\cfourvec}[4]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \end{array}\right]}\) \(\newcommand{\fivevec}[5]{\left[\begin{array}{r}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\cfivevec}[5]{\left[\begin{array}{c}#1 \\ #2 \\ #3 \\ #4 \\ #5 \\ \end{array}\right]}\) \(\newcommand{\mattwo}[4]{\left[\begin{array}{rr}#1 \amp #2 \\ #3 \amp #4 \\ \end{array}\right]}\) \(\newcommand{\laspan}[1]{\text{Span}\{#1\}}\) \(\newcommand{\bcal}{\cal B}\) \(\newcommand{\ccal}{\cal C}\) \(\newcommand{\scal}{\cal S}\) \(\newcommand{\wcal}{\cal W}\) \(\newcommand{\ecal}{\cal E}\) \(\newcommand{\coords}[2]{\left\{#1\right\}_{#2}}\) \(\newcommand{\gray}[1]{\color{gray}{#1}}\) \(\newcommand{\lgray}[1]{\color{lightgray}{#1}}\) \(\newcommand{\rank}{\operatorname{rank}}\) \(\newcommand{\row}{\text{Row}}\) \(\newcommand{\col}{\text{Col}}\) \(\renewcommand{\row}{\text{Row}}\) \(\newcommand{\nul}{\text{Nul}}\) \(\newcommand{\var}{\text{Var}}\) \(\newcommand{\corr}{\text{corr}}\) \(\newcommand{\len}[1]{\left|#1\right|}\) \(\newcommand{\bbar}{\overline{\bvec}}\) \(\newcommand{\bhat}{\widehat{\bvec}}\) \(\newcommand{\bperp}{\bvec^\perp}\) \(\newcommand{\xhat}{\widehat{\xvec}}\) \(\newcommand{\vhat}{\widehat{\vvec}}\) \(\newcommand{\uhat}{\widehat{\uvec}}\) \(\newcommand{\what}{\widehat{\wvec}}\) \(\newcommand{\Sighat}{\widehat{\Sigma}}\) \(\newcommand{\lt}{<}\) \(\newcommand{\gt}{>}\) \(\newcommand{\amp}{&}\) \(\definecolor{fillinmathshade}{gray}{0.9}\)Key Takeaways
This chapter introduces three additional chords beyond cadential
.
- Passing (pass.)
involves a passing tone in the bass that has been harmonized by a
chord. It typically prolongs tonic or predominant harmonies, and it always occurs between two chords of the same function.
- Neighbor (n.)
involves a static bass above which two of the upper voices perform upper neighbor motion. It typically prolongs tonic or dominant harmonies, and the chords on both sides of it are always in root position.
- Arpeggiating (arp.)
involves a bass that arpeggiates through the fifth of the chord while the upper voices sustain the chord in some way. It may prolong any harmony, and we don’t typically bother recognizing it in analysis.
The table in Example 6 below summarizes the characteristics of each of the three types of that we advocate labeling in analysis.
Chapter Playlist
\[\mathrm{cad.^6_4}\]
Passing 
The passing (pass.) [latex]^6_4[/latex] is a chord built on a passing tone in the bass (Example 1). It’s most commonly found prolonging tonic or predominant harmonies. Importantly, the chords on both sides of the
are always the same function (e.g.,
), not of different function (e.g.,
).
\[\mathrm{pass.^6_4}\]
Example 2a demonstrates the steps for writing to expand tonic, and Examples 2b and2c show several ways
can prolong the predominant area. Note that each of these progressions can also work backward (e.g.,
also works).
To write with pass
:
- Write the entire bass. You should have three notes in stepwise motion where the first and last notes belong to the same functional area (T or PD). The middle note will be your passing tone.
- Spell the pass.
. Just like with
, to spell
, determine what notes are a fourth and sixth above the bass. One voice will double the bass, just like in
.
- Write the entire soprano. The soprano should be a line that moves by step, not the static line.
- Fill in inner voices, making them move as little as possible.
Example 2. Writing with pass..
Neighbor 
The neighbor (n.) consists of a static bass over top of which two voices have upper-neighbor motion (Example 3). Sometimes
is called pedal
, a name that reflects the static pedal in the bass. It’s most commonly found prolonging I or V. Example 4a demonstrates the steps for writing
to prolong tonic, and Example 4b shows the voice leading to prolong V.
Example 3. Neighbor and arpeggiating in Josephine Lang, “Dem Königs-Sohn.”
To write with
:
- Write the entire bass. The bass will be three of the same note, typically do–do–do or sol–sol–sol (
or
)
- Spell n.
. The
will be over the middle bass note. As with
and
, determine a sixth and fourth above the middle bass note. One voice will double the bass.
- Write the entire soprano. For the soprano, choose either an upper-neighbor line or the static line. Unlike with
or
,
will more frequently have a static line in the soprano.
- Fill in the inner voices, making them move as little as possible.
Example 4. Writing with .
Arpeggiating 
Arpeggiating (arp.) is typically created when the bass leaps to the fifth of a chord while the upper voices sustain the chord. It’s commonly found in, for example, ending bass arpeggiations (Example 3) or waltz-style accompaniments (Example 5). Unlike the other types,
typically doesn’t need to be labeled in analysis. Example 5 identifies it using figures, but it’s not necessary to do so—each measure could simply be labeled as I.
Example 5. Arpeggiating in Sophie de Auguste Weyrauch, Six Danses No. 3.
Summary: 6/4 chord types
The table in Example 6 summarizes the characteristics of the three chord types that should be labeled in analysis. When you come across a
chord in analysis, remember to stop and ask yourself what type it is (passing, neighboring, or cadential) and label it appropriately.
[table id=45 /]
Example 6. Summary of chord types.
Assignments
chords as forms of prolongation (.pdf, .docx). Asks students to review previous concepts, write from Roman numerals, write from figures, and analyze excerpts.


