Homework: Workbook Chapter 32
Preliminaries all
Longer Assignments 1
or
Textbook Chapter 30 Preliminaries 1a,b,c,d,e
New
Modulatory Techniques
1. Modulation by chormatic inflection
a. When a modulation can not occur through a diatonic pivot, chromatic
inflection can be used to effect a modulation.
b. Often times this will result in an applied dominant to the new key area.
2. Common Tone modulations
a. Sometimes a common tone is all that is provided to carry the listener
from one key to the next.
b. Please note: Common Tone modulations never really seem like modulations
to me. They seem more like tonal shifts. The lack of a leading tone and
the lack of an applied ^5 makes the new key area seem temporary in my ear
until it is confirmed with some more dominant like function. As such I prefer
to call these Common Tone Transitions. For now we will use the nomenclature
given by the book.
3. Modulation by chromatic sequence
a. H&VL simply states here that just as we may modulate via a diatonic sequence
so too can we modulate through a chromatic sequence. Please refer to chapters
31 and earlier for techniques in chromatic sequences.
4. Enharmonic Modulations:
True vs. Notational Enharmonics
a. When a composer spells a passage to make it easier to read (ie respells
bb or X) we consider this simply a notational enharmonic as the syntactic
function of the passage does not change from its origianl spelling.
b. When a composer changes a spelling so that he may reinterpret
its syntactic function we refer to this as a True Enharmonic respelling.
That is, the respelling is true to the syntactic function of the passage.
5. Enharmonic modulation based on the diminished seventh chord
a. An enharmonic reinterpretation of the diminished seventh chord reveals that it may be interpreted as a diminshed seventh applied to 4 different chords.
b. composers may exploit such enharmonic reinterpretations by building an expectation of a movement to one chord or key area than enharmonically reinterpreting the applied viiº chord.
6. Enharmonic modulations based on dominant seventh and Augmented 6th.
a. Since the gA65 may be reinterpreted as an applied V7 we may exploit such ambiguities.
b. Please see webnotes theory4_notes_03.html for additional disscussion.
Chromatic Tonal Areas
7. Large
Scale uses of mixture.
a. Just as chromatically altered triads can be inflected into diatonic progressions,
so too can we introduce mixture into the larger structure of a composition.
8 -VI in major.
a. -VI is one of the most common areas for large scale mixture.
b. It often comes directly from I through common-tone modulation.
c. Sometimes we see it as an expansion of a deceptive cadence.
d. Transforming the -^6 to the root of an A6 chord is an excellent way to return
to the original tonic key.
9. +III in major.
a. Since +III in major contains +^4, +^5, +^1 and +^2 tones not related to I
the modulation to +III is much more delicate.
b. One excellent method of arriving at +III as a tonal area is by transforming
1 into an A6, resolving to a V>III
10. +VI in major.
a. Similar to +III, +VI also contains +^4,+^5 and also conains +^3 and is thus
a more remote key area.
b. Similar to -VI in major, one may arrive at +VI via motion away from a deceptive
cadence.
c. Like the syntactic progression I-VI-IV, +VI in major will often move to
IV as a secondary key area.
11. -III in major.
a. Lowered III in major shares a close connection with the relative minor of
the tonic key. (It is the relative minor!)
b. Like the -VI, it shares a common tone ^5 with I. Thus we sometimes arrive
at -VI as a key area via the introduction of ^5 as a common-tone modulatory
point.
12. Altered Triads in minor.
a. Here H&VL states that it is less common to see modulations on a large scale
from a minor tonic to the minor forms of expanded altered triads.
b. He states that since +^6 and +^7 have strong tendancies towards the original
tonic ^1, it is hard to stableize those chords that may serve as expanded tonal
areas. ie.. +III and +VI in minor.
13. An example of double mixture:
-III- expanded
a. Please refer to webnotes 5 for techniques of modulation to double mixture.
14. #IV as a goal.
a. +IV can not be a result of mixture as it shares no common tones with the
original tonic key.
b. As a result, modulation to +IV is often very difficult.
c. As we have seen in previous discussions, sequential passages can be very
effective as modulatory techniques
d. As well, H&VL very wisely points out that a modulation to a new key area
can and sometimes does occur in two stages. In this case the +IV could be approached
as a modulation to two consecutive keys both a minor 3rd above the preceding
key.
15. Equal divisions of the octave.
a. Sometimes composers will modulate to successive key areas that equally divide
the octave.
b. Thus, we might see modulatory key successions : I,-III, -V, VI(bbVII) (representing
modulations to key areas by minor thirds)
c. or I, -VI, III, I (representing modulations to key areas by descending
major 3rds.
16. Motivic aspects of large scale
chromaticism.
a. As we will see in contemporary theory and composition HMU 420, the smallest
melodic motive can be organically related to the larger syntax and the tonal
order of that syntax can and often is organically related to the large scale
harmonic structure of the piece as a whole.
We have now concluded our study of traditional
tonal harmony. H&VL is a widely accepted standard
text for college music theory and you should
all consider your endurance to complete such
a lofty text a right of passage in your journey
as musicians. To be sure, you should all have
plenty of fuel to feed the fire that is your
intellect but NEVER forget that instinct and
unbridled emotion are critical elements of beautiful,
dramatic and engaging music. For two years we
have forged a connection between your mind and
your ear. As you move forward, never deny your
soul a place in that union.
Congratulations!
Professor Andy Brick
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