Wednesday, July 17, 2013

Lesson 33 Additional modulation techniques

Lesson 33 Additional modulation techniques




Part I - Modulation using Mode Mixture
Using borrowed chords lends itself nicely to modulation.  As you know, a scale is also called a mode.  Using borrowed chords to modulate is a great way to achieve a quick modulation over the course of one or two chords.

Common chords through modal modulation
C Major          Chord spelling             F minor
I                               C E G                         V
ii                              D F A
ii°(B)                       D F Ab
iii                             E G B
IV                            F A C                           i
iv(B)                        F Ab C
V                             G B D
vi                             A C E
VI(B)                      Ab C Eb                      III
vii°                           B D F

When we use borrowed chords as a point of modulation, it is easy to get from the original tonic key to the new tonic as demonstrated in figure 1.
Fig.1 Modulation using borrowed chords
Listen:

Part II - Modulation using Neapolitan triads
It is entirely possible to have a secondary dominant of the Neapolitan chord and use it as the new dominant triad to modulate to a key that is a half-step away from the original tonic.  This is demonstrated in figure 2.
Fig.2 secondary dominant of the Neapolitan triad
Listen:

Here is the full modulation from C minor to D flat minor using the Neapolitan triad
Fig.3 modulation using the Neapolitan triad
Listen:

Part III - Modulation Using Common Tones
Using this method, it is possible to modulate between two keys that are foreign, or not closely related.  Such as keys that are a third apart i.e. C Major (0 sharps or flats) and E Major (Four Sharps).
Here the tonality will shift around a single common tone.  Instead of looking for a common chord between two keys, the modulation will shift around a single pitch that appears in a chord from each key.  
You can see that the common tone between the two chords os the F# in the tenor.

Fig.4 Common tone modulation
Listen:

The starting key is A minor and the ending key is F# Major.  These two keys do not share a single diatonic chord.  Often in common tone modulation, there will be chromatic voice leading in one or more voices.