Wednesday, July 10, 2013

Lesson 25 Introduction to secondary dominants

Lesson 25 Introduction to secondary dominants

A secondary dominant means that the chord is the dominant of another chord within the original key.
For example, D F A is the V of G B D, Which is V in C Major.

Part I - Review of Dominant-Type chords
The Dominant chord is the most important concept in tonal music because of its tendency to move toward a chord of resolution.  
Roman numeral                      Quality
         V-------------------------------Major triad
         V7-------------------------------------Major-minor seventh
                                                   (dominant 7th)
         vii°----------------------------diminished triad
         vii°7---------------------------------Diminished-diminished seventh
                                                                  (fully diminished 7th)
        viiΓΈ7----------------------------------Diminished-minor seventh
                                                  (half diminished seventh)

Part II - Resolution of Dominant-Type Chords
The most important thing to learn about dominant-type chords is to learn how they resolve.  Being that dominant chords are built on the fifth scale degree, and they resolve to a chord that is a fifth down from the root of the dominant chord.  Leading-tone chords resolve up a minor second.

Here you can see that all of the V chords resolve down a fifth:
Fig.1 resolution of V chords

Listen:

In this example, all of the roots resolve up a second:
Fig.2 resolution of diminished chords
Listen:

this is because all of the chords are diminished


Part III - Tonicization and Chromatic Chords
Notice the second chord in this figure.  it has the presence of the E natural.  This means that it is not a chord of the key signature.  Think of the two chords in the middle of this figure as being in the key of F, not B flat.
You can see how we analyze the chromatic chord.  Its root resolves up a second to the dominant of the Key
Fig.3 secondary dominant   
(This analysis is incorrect, it should be vii°7/V)
Listen:

In this example, the  vii°7/V should be thought of as in the key of E, not A  
Fig.4 vii°7/V in A Major
Listen:

Here, we see the vii°7/V in F Major.
Fig.5 vii°7/V in F Major
Listen:

Finally, we see the vii°7/V in B Major
Fig.6 vii°7/V in B Major

Listen: