# What's the correct analysis of this harmonic sequence at the end of the first movement of Dvorak's Fourth Symphony?

I've been puzzling over the best way to analyse the chords that occur at the end of the First Movement of Dvorak's Symphony No. 4 in D minor Op. 13. The passage is definitely part of a harmonic sequence, but I don't know how the C sharp major chord relates to the key of D Minor. What's the best way to analyse this chord?

There is no directly relation of C# to d minor.

As usual, in music, there doesn't need to be an explanation or rule to fit everything in. It can be quite subjective, and analyzing with tonal eyes can be confusing in fact.

To my eyes (ears?) that C# is just the dominant of the F# in the previous measure. It repeats the same pattern and motif from measures 1 and 2 in your example, jumping from tonic to dominant. First in d minor and then in F#.

I'd say this can be represented as a short modulation to F#, and then the C# is a `V`.

The appearance of the F# could be treated as a motion of whole steps from the bass or just for the effect itself that moving to a `III` causes. Definitely not a IV, also your last A major is represented as IV but it should be a plain V.

• Interesting - so if I understand this correctly, F# would be an altered III chord and C# the dominant of this altered chord? It would certainly fit the analysis of the harmonic sequence as a series of I - V chords. And you're right - the penultimate chord should be analysed as V - my typo! – daloonik Oct 5 '18 at 13:17
• @daloonik Exactly. Richard's great answer details possibilities for the appearance of this F♯ section, he knows the piece much better. I'd just like to add that as you can see, analysis can be quite ambiguous or subjective. The ideas of F♯ coming from whole steps movement, from i-V/6/4-I/6, from back references of previous measures, or from a mix of all this are all valid. It really depends on ones' point of view and possibly cultural background. Even great composers from different periods would each analyze this on their own way :) – sidyll Oct 5 '18 at 18:40

The F♯ chord here is really a reference to what happened earlier in the movement. The development, after a C♯ pedal, begins in the key of F♯ major. Furthermore, several times in the exposition a C♯7 chord appears, and it's typically in the context of A major. This C♯7, which "should" resolve to F♯, doesn't; it resolves to A instead. This C♯7 even comes back enharmonically a little later as an augmented-sixth chord that moves to F.

Look through the score to get a sense of the role F♯ plays in this piece and just how often it appears.

As such, this is mostly a call-back that Dvorak is making to these prior tonal happenings. Great composers love to make these little references; it's almost as if they're like inside jokes to them.

As for understanding this F♯ within the context of this phrase, sidyll's answer is great; I'll just add a few extra details:

The F♯ in m. 3 could be understood as an extension of the D minor that began the phrase. This is because F♯ would just be scale-degree 3 in D major, so m. 3 is ultimately a stand-in for I6; here, however, it's ♯III.

The C♯ chord that comes after it serves two functions: one, it's a back-relating dominant to the F♯ that came before it. This means that we understand it as the dominant to what came before it (as opposed to a chord being the dominant of what comes after, which is much more common). The second function is due to it's resolution to A. This C♯–A pairing thus functions as a dominant to D, since the dominant of D includes both C♯ and A. (Schenkerian theorists would call this an "unfolding" of the dominant.)

Lastly, double-check your Roman numeral in the next-to-last measure. That should be a V chord, not a IV! (You labeled this chord correctly two measures earlier, so I know this is just a silly mistake.)

• Very, very nice. In particular I definitely hear the D major chord as a modal mixture I6. The opening formula i–vii°–i6 is such a standard trope that changing it to i–vii°6–I6 still has an internal logic. – Pat Muchmore Oct 5 '18 at 11:24
• Very good point about looking at the whole work in context when making a harmonic analysis - I definitely wasn't considering the importance of F# major in the development section. And yes the A major chord in the second last measure should be labeled V - my mistake! – daloonik Oct 5 '18 at 13:22

I'd look at bar 4 as D♭ Major. It seems to be equivalent to an augmented sixth chord in function spelled enharmonically in F major (D♭,F,A♭,B) with some weird bits. I'd say, though, that even if it's not strictly constructed like an augmented 6th chord, it still sets up the V, C major. Then the A7 substituted in is the V in D minor, the real key of the piece. It makes no sense to me to analyse the C♯ chord as ♮VII. Also, the G♭ major chord preceding it seems to be the IV of the D♭ chord, used to extend the phrase and color it.

• Interesting. I wouldn't have interpreted it this way. The enharmonic POV certainly makes sense here though, in particular seeing as Dvořák didn't actually write out F♯major - C♯major in the score at all. Only the non-transposing instruments play F♯ and C♯, whereas the transposing instruments use G♭, B♭, F and A♭. – leftaroundabout Oct 4 '18 at 21:13
• Oh, I sight-read wrong. I read both of those as C♯ and didn't read the F♯ chord. Let me fix that. – user45266 Oct 5 '18 at 4:06