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Transcript
MU182: Theory II
R. Vigil
Chromaticism II: Tonicization/Modulation
General
Mixture is a type of chromaticism involving the introduction of elements from another mode. In
contrast, Tonicization and Modulation involve the introduction of elements from another key.
More specifically, tonicization and modulation are concerned with a change of key.
Tonicization versus Modulation: Initial Definitions
The line separating these two terms in not always absolutely clear. In general, the difference can
be thought of as one of scale (a matter of quantity, not quality).
Tonicization refers to a situation where a single chord (other than the local tonic) is treated
as a "new" tonic.
Modulation refers to an extended passage in a new key.
I.
Tonicization
We speak of a chord (usually a diatonic chord, within the prevailing key) as being "tonicized"
when it is temporarily treated as a tonic. Most of the time this is accomplished by preceding the
"new tonic" with its own dominant. The "foreign" chord in such situations is referred to as a
secondary dominant or an applied dominant.
7
6
#
I
vi=[ii V]
V
I
#
viio=[ii V]
vi
C: I
vi
F: iii
ii
vi
Chords are also frequently tonicized by viio.
#6
I=[IV viio]
V
b
b7
v?
ii
?
V
IV
I
2
Less frequently, a chord might
be "tonicized" by a plagal-type
motion (often strengthened by
b 6) of a post-cadential character.
bb 64
I
vi
IV
[iv]
bb 46
IV
[iv]
IV
II. Modulation
While the term tonicization refers to the brief treatment of a non-tonic as a tonic, modulation
refers to passages (as short as a few measures, as long as entire sections within a movement)
that lie entirely within a new key.
Modulation generally employs two features: the cadential establishment of the new key; and a
subsequent re-start in that new key.
In music where cadential confirmation is less likely (e.g., many development sections,
and much 19th-century music), modulation can be identified by: the exclusive
membership of all harmonies to a key other than tonic; and the relative length of the
passage at hand (i.e., while tonicization applies generally to just a few chords,
modulation refers at least to complete phrases).
The following example can be seen to modulate to iii (e minor), because not only is that chord
tonicized (in mm. 2-3), but the following phrase continues in iii before finally modulating back
to I (C major).
P
6
6
#5
#
I (viio) I IV V vi=iv V
i
#5
#
#5
V
i (V) i
iii(e-)
6
P
6
iv=vi ii
V
I
3
III. Clarification: Chord, Tonality, and Key Area, Tonal Region
A possible terminological confusion arises with the use of Roman numerals, which can refer to
specific, individual chords, or to regions within a key. Furthermore, the terms "tonal region"
and "key area" are used interchangeably, and can be referred to by letter name (e.g., G), or
Roman numeral (e.g., V) - when Roman numerals are used to describe a key area this is done in
reference to the predominant tonality of the work (or movement) at hand.
In reference to the previous example, it is correct to speak of a modulation from I to iii and then
back to I. This can be clarified by speaking of a modulation from I (C major) to iii (e minor)
and then back to I (C major). Note in this regard the difference between I as a chord, and I as a
tonal region (C major, the tonic area of C): we have modulated back to C by measure 6 (at the
latest), even though we are on a V chord - in other words the harmony is on V (as a chord), but
because we quite clearly understand that G major as a V chord within C major, we have
modulated back to I (as a tonal region).
With this in mind, we can see that it is possible
to tonicize a given key area without actually
arriving at that chord. The most common
example of this is when the dominant is
reached, but fails to lead to its respective tonic.
6
#
#5
#
6
I (viio) V ii
vi
V
vi
V I
iii
IV. Tonicization versus Modulation: Analytical Distinctions
Comparing the examples above, it can be seen that different annotational systems are employed
to show the distinction between tonicization and modulation:
Tonicization is shown by enclosing the "foreign" chords in brackets: the Roman numeral
inside the brackets refers to the foreign chord as it relates to the temporary tonic; an arrow
is then drawn to the tonicized chord, which is labeled in terms of its relation to the
predominant tonality. As in the previous example, when the tonicized chord (key area)
does not actually appear, the foreign chord(s) are placed above a "slash," underwhich is
placed a Roman numeral indicating the tonicized chord.
Modulation is show by analyzing the entire passage in the new key: all Roman numerals
apply to the new key, and the analysis is executed above an extended horizontal line; the
Roman numeral under the horizontal line indicates the new key in which to read the
above Roman numerals. When an entire section is in a new key the horizontal line may
be abandoned, a letter name and/or Roman numeral followed by a colon indicates that
what follows is to be read in relation to a new key (e.g., "V (Gmaj.):").
4
V. Tonicization versus Modulation: The Reinterpreted Half-Cadence
A special case highlighting the sometimes foggy distinction between tonicization and modulation
comes into play with a cadential progression moving to the dominant. In this formula, what
appears to be a modulation to V is reinterpreted as a half cadence based on the subsequent restart
in the tonic.
6
4
I
(V)
6
I=[IV
#
V]
V HC
I
IV
V
I
PAC
The same two measures which were, above, analyzed as a half cadence (where the dominant is
tonicized) can be seen as participating in a modulation if the second phrase is re-composed as
follows:
6
4
I
(V)
6
I=IV
#
V
4
I
IV
V
#3
I
PAC (in V)
V (G)
VI. Pivot Chords
Within the context of tonicization and modulation, a Pivot Chord is defined a as a chord with
membership in both the original key and the goal tonality. Analytically, pivot chords are given
two labels. The first refers to where the music has been. The second refers to where the music
is going, and is enclosed within a bracket or placed over a horizontal line, as appropriate. The
"pivot" is indicated by placing an "equals sign" (=) between the two labels.
The most common pivot chords function as predominants in the new key. A glance at the
preceding examples gives a good sense of the annotational treatment and analytical utility of
pivot chords.
5
Especially when the movement (via either tonicization or modulation) is to a closely-related key
(i.e., one diatonically-related to the overall tonic), pivot chords are easy to find and easily
employed. Nevertheless, such a chord may be absent, and we can characterize various tonicizing
and modulating progressions as being more or less abrupt based on the presence or absence of a
pivot chord.
with pivot
abrupt
#
I
VII.
with pivot
#
6
vi=[ii V]
V
I
abrupt
IV [V]
V
I V=[IV V]
6
ii
I
[V]
ii
Overlap
Often more than one chord that can be read in both keys. In such cases, it may seem analytically
useful to analyze in reference to both keys at the same time. This is achieved by utilizing two
sets of Roman numerals, one on top of the other. Generally the "original" key is placed on top,
and the "new" key below. This procedure is particularly useful when analyzing passages whose
tonality is either ambiguous or shifting quickly. When a chord fits perfectly clearly in one
tonality but less clearly in another, the chord-label may simply be omitted (i.e., left blank) in
reference to the problematic key, or as clear a label as possible may be applied (often
accompanied by a question mark) - when a label is ventured in such cases it is usually not to
assert that the chord is actually heard in relation to that tonality, but to indicate the relative
"degree of foreignness." Particularly complex passage may be analyzed in reference to three or
more tonalities.
6
4
6
C: I (V) I
6
n II?
G: IV V
#5
#
6
6
7
V (vi IV) V
I
vi nVII? iii (#ivo) iii vi
I
IV
ii
ii VII? I
e-: iv
n III?
vi (viio) vi ii
V
i (iio) i iv
#
V
V
I
III