What is a pivot chord? A chord that is shared by two keys and has strong function in both keys.
Do NOT write I7 please and thank you.
Pivot chords are a way to modulate. There are other ways to modulate, but we’re going to focus on pivot chords.
Pivot chords:
When working on modulations, lead sheet symbols become your best friend. You can use the lead sheet symbols to identify where the key center changes based on the use of diatonic and chromatic harmony.
Looking at 4 measures of the Haydn, we have: G - G/D - D7 - G/B - D7/A - G - G - A7/C# - D - A7/G - D
In G, this would be analyzed as: I - I64 - V7 - I6 - V43 - I - I - V65/V - V - V/V - V
Why does a V/V start on the 2nd scale degree? You need to establish a tonic. What we do with non-diatonic harmony is find a way for it to function in the diatonic harmony.
If we have the progression of A - G - C, you can’t tell what key it’s in. If we’re in C with the same chord progression, you get a V/V - V - I.
Now, analyze the same passage in D: IV - IV64 - V7/IV - V43/IV - IV - IV- V65 - I - V V/V - V
By comparing the analysis of the example between the two keys, you can find where the modulation occurs in a way that gives both sections common progressions.
The further-away keys are from each other, the more difficult to modulate between the two. How to find a modulation:
Soprano: C5 - D5 - E5
Alto: F4 - F4 - E4
Tenor: A3 - B3 - C4
Bass: F3 - D3 - C3
Bb: V ] (now in c minor)
cmin: [ V/VII - viio - i
Bb: V - viio6/ii - x
cmin: x - viio6 - i
Names for pivot chords not shared in both keys:
modulation point: the place where we first hear the modulation
We have 2 types of pivot modulations: