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Important
note: Permission to add this article was given by the Gail Boyd
de Stwolinski Center for Music Theory Pedagogy at the University of Oklahoma.
It is a violation of copyright to download a copy of this article.
This article was published in the Journal
of Music Theory Pedagogy, VOLUME FIVE, No. 2, FALL 1991.
Contextual Ear Training
The development of aural analytical skills is a must for anyone who desires
a thorough understanding of musical form and structure. It is of course an integral
part of that study we call music theory—it is the wedding of the aural
experience to abstract musical constructs. As both a theorist and a theory teacher,
I believe that to hear music is to analyze it and to analyze music is to understand
it more fully. This I would above all like to impart to my students. Unfortunately,
this is easier said than done. So what is the best way to approach an ear training,
or aural skills class? I have pondered that for a long time, and as a result,
have developed and implemented some new strategies which I believe to be more
successful than others I have used. It is these new strategies that I would
like to discuss here.
One vexing problem for many aural skills teachers is the study of intervals.
Do students need to be proficient at identifying random intervals before they
can move on to something else? No, I don't believe so. Do they need to be proficient
at hearing scale degrees and relationships within the context of a key? Most
certainly. Many students do not do particularly well with random interval identification,
but can do well with other aspects of aural analysis. Nevertheless, the identification
of intervals seems to be a major component of many ear training and sight singing
texts, CAI music software, and presumably, most ear training programs. But at
the same time, many aural skills teachers question their importance, or the
value of the method by which they are most often taught. A similar situation
exists with regard to triads. Is there more to the study of triads than recognizing
the four qualities as isolated events, and hearing which voice has the root?
These are the questions and concerns that I will address here, and I will argue
for a contextually-based approach to teaching intervals and triads in an ear
training program.
Over the past several years I have experimented with different strategies for
teaching aural skills, all of which emanate from my basic beliefs about exactly
what skills I am trying to teach, how to integrate them with written theory
and how to do it in the most efficient way.
What skills am I trying to teach? There are different opinions about the purposes
and goals of sight singing and ear training, so an aural skills teacher must
decide which goals he or she is pursuing before developing a program of study.
With that vision in mind, all activities must be coordinated in such a way that
they all work towards that end. My goal is to produce musicians who can hear
and think about music equally well—musicians who can understand and see
what they hear, and hear and understand what they see. I am not trying to merely
provide a service by producing better sight-readers for the choirs and ensembles.
If improved sight reading is a consequence, so much the better—a felicitous
by-product, but not the point of the exercise.
The underpinning of my approach to teaching aural skills is that nothing a student
learns in written theory or aural skills exists in a vacuum, independent of
anything else. Theory and ear training are flip sides of the same coin—every
component works to reinforce every other one. Consequently, everything in theory
and ear training should be as coordinated and interrelated as possible. It is
unfortunate that as a practical matter, the written portion of a standard theory
class progresses much more rapidly than the aural skills portion, so there is
a lag between what one has learned in theory and what one is learning in aural
skills at the same time. This is not to say that examples of whatever is currently
being taught in theory should not be played in class: quite the contrary. This
is one of the best ways to interrelate the two and reinforce for the students
the idea that hearing, seeing and understanding go hand in hand.
One caveat: the strategies I am proposing are without question biased towards
tonal music. Since most of a music major's two year theory sequence (at least
11/2 years in most schools) concerns itself with music of the common practice
period (i.e., Baroque through Romantic), this bias seems justified. Also, in
light of the fact that this music is still very much with us in the concert
hall, as well as in the music school, and because I believe that later styles
can profitably be studied as outgrowths of, or reactions to, the tonal system,
this emphasis seems warranted.
Since I am proposing a "holistic" approach, the discussion of intervals
and triads needs to be prefaced by a discussion of what I believe should be
the goals of sight singing, and how best to work towards that end. My goal,
when teaching sight singing, is for students to learn to hear the functional
relationships between notes in a key: their relationships to each other, and
their relationship to tonic. Ideally, scale degree numbers should be sung, but
since that would be too cumbersome, especially when alterations are added (which
I think are absolutely imperative—flat-6, sharp-4, etc.), the monosyllabic
solfege system is a very happy compromise.
I believe practicing sight singing is one of the best ways to practice ear training.
To memorize what certain patterns sound like from singing them is to recognize
them when you hear them in music. Learning position within a key by singing
with that in mind becomes a tool one can use in either the classroom setting
(taking dictation), or, more importantly, in any analysis one embarks upon,
wherein one begins by listening to the music in question. Thus, sight singing
is an extremely important facet of ear-training—it is how one begins to
learn to hear music analytically.
Since I am advocating the use of sight singing to teach students to hear and
recognize scale degrees (a skill I believe to be far more important than learning
to hear isolated intervals), then only one method of sight singing will be appropriate:
the moveable-do/tonic-do system (do is tonic for both major and minor keys).
Moveable-do has as its goal the learning of the tonal system, unlike the fixed-do
system, or the movable-do/minor-la system. Fixed-do can work towards improving
reading skills, since the same line or space on any given clef always has the
same syllable. But it imparts no functional meaning or significance to any note.
La-minor is an interval approach. It measures the distance between syllables:
ti to do is always a half step, whether in a major key functioning as the all-important,
key-defining leading-tone to tonic relationship; or in its relative minor key,
functioning as the much less critical supertonic to mediant relationship. At
best, this system requires learning two sets of syllables to signify the same
functions: one set for the major key, and one for the minor key. At worst, this
system encourages hearing all minor keys in relation to their relative majors,
rather than as independent keys of equal stature and validity. A tonic la is
in actuality heard as being two steps below do, as opposed to being heard as
a tonic in its own right.
Beginning exercises in my sight singing classes stress learning to hear and
retain tonic. At first, everything is done from do in order to emphasize tonic
as the reigning entity and to develop a sense of tonic retention and tonic centeredness.
For example, after learning to sing a major scale with syllables, students begin
singing each note of the scale from do: do-re-do, do-mi-do, etc. One sight singing
text that correlates well with this approach is the Berkowitz/Frontrier/Kraft
A New Approach to Sight Singing, the text we use at Butler University. It begins
with stepwise major-key melodies, all of which start and end on do—again,
developing a sense of the primacy of tonic. Next, the text introduces melodies
with skips in the tonic triad. Thus, major and minor thirds, perfect fourths,
perfect fifths and even major and minor sixths are introduced early on, as the
residual intervals, or resultant distances, between notes of the tonic triad
in its various guises, as opposed to being introduced as intervals for their
own sake. In fact, one need not even refer to intervals at this point. Students
are simply learning to sing from one note of a tonic triad to any other note
of that same tonic triad. This skill is fundamental: to be able to recognize
and sing a tonic triad in any of its presentations as soon as possible.
A different approach employed by some sight singing and ear training texts is
one in which melodies are categorized and presented according to the intervals
they contain. These books progress by adding melodies with successively larger
intervals: seconds, thirds, fourths, etc. However, I contend that singing a
third in a ii, IV or vi chord, for example, is much more difficult for a beginning
sight singing student than is singing a third in a tonic chord. Why? Because
a beginning aural skills student has not yet progressed to the point of being
able to hear internally all those different harmonies within a tonal framework.
There is a critical distinction here which lies at the heart of my approach
to teaching intervals and triads. A sight singing program that progresses by
interval reinforces the "interval" way of hearing tonal music, which
I don't believe is the primary way in which most of us really process music.
In tonal music, intervals have no meaning outside of the context of a harmony
and/or key, and in this tonal context, like intervals can sound very different.
The major third from do to mi (as part of a tonic harmony) is the epitome of
stability, and should be experienced as such, whereas the major third from sol
to ti (as part of a dominant harmony) is anything but stable. It is the antithesis
of the tonic third and needs to resolve to tonic. The urgency of the upper note
of this third, the leading-tone, to resolve up by half-step to tonic is palpable.
This is not at all paralleled by the major third from do to mi. Or, to cite
a different kind of example, think of the case of enharmonic intervals. Out
of context there is no difference. But in a tonal context there is a world of
difference between, say, an augmented sixth and a minor seventh. Similar examples
abound in tonal music.
So what is the purpose of teaching intervals per se? I would argue that we should
instead be teaching students to hear the larger relationships: scale degrees,
harmonies, and the affinities of notes for each other. Intervals should be taught
and understood only as parts of harmonies, not as discrete units to be recognized
in the absence of a tonal context. Clearly then, when practicing sight singing
with these harmonic goals in mind, one should progress not by interval, but
by harmony. Consequently, after practicing melodies with skips in the tonic
triad, one would proceed to melodies with skips in the dominant or subdominant
triad, and so on.
Since I have for a number of years taught sight singing in this manner, I realized
that to be consistent, I needed to approach ear training and dictation in the
same way: to wit, intervals are the distances between scale degrees, not isolated
events. Moreover, since the same interval can have very different tendencies,
and even different meanings, depending on the context and the scale degrees
involved, I wanted to develop a method of practicing scale degrees and intervals
that would make the students aware of and sensitive to these different tendencies.
Interval practice therefore begins in ear training almost immediately, but,
similar to sight singing practice, without referring to intervals as such. It
is only after intervals have been taught in written theory that they are referred
to specifically in ear training. This approach therefore de-emphasizes intervals
while stressing scale degrees, tendencies and tonic retention.
Scale degree exercises are done as follows: A key is established, generally
by playing a short cadential pattern. Students are asked to sing do. Some other
scale degree is then played, and students are asked either to sing from that
scale degree up or down to do, or to sing do and then sing up or down to that
scale degree. They then identify that scale degree (by syllable). In between
each exercise, students are asked to sing tonic. Thus, not only are they learning
scale degrees in relation to tonic, but they are also learning, through constant
repetition, to retain tonic and to use it as a constant reference point. Naturally,
the students are hearing and singing intervals (from tonic to scale degree "x")
but they are not yet labeling them as such. This exercise also lays the foundation
for the next one, another scale degree/interval exercise done without reference
to intervals, at least at first. Now instead of hearing one scale degree in
relation to tonic, students hear two scale degrees (one of which may still be
tonic). For example, after establishing tonic, I may play ti-re. Students first
sing do. They then sing the two pitches they heard, usually on a neutral syllable,
and sing up or down from tonic until they find the two pitches, which they then
sing on syllables. They are again singing an interval, but more importantly,
they are learning the relationship of two scale degrees to each other, and to
tonic. As students learn intervals in theory, we gradually add in the interval
names for the scale degrees. At this point, when students sing "ti-re,"
they also sing "minor third":
Example 1
ti re minor third
Lastly, we listen for the interval's tendency to resolve, if there is one. In
this case, the resolution is to tonic, so I would have the students sing tonic
after they sing the interval.
In addition, and I believe this to be a crucial point, I don't randomly choose
any two scale degrees. I choose scale degree pairs where the corresponding interval
is most often, or very often encountered. And, I might add, I don't choose them
for the sake of the interval, but for the purpose of familiarizing students
with important relationships in tonal music. So, for example, the ascending
perfect fourth from sol to do is practiced frequently, because of its all important
key-defining characteristic—the V to I relationship encountered so often
in basslines (whether as a primary relationship or a secondary relationship:
re -sol, for example, is still sol-do, but on a secondary level). Conversely,
I rarely practice perfect fourths from ti to mi, because that fourth has little
or no significance, at least in terms of frequency. (Mediant chords in a major
key are rare as it is, and a tonicized mediant is rarer still. The most typical
usage is of course in a circle-of-fifths progression.) The point I want to stress
to my students is that even though most diatonic intervals can be found in several
or many places in a key, certain intervals are encountered much more frequently
in certain harmonies, or on certain scale degrees, than others. A minor seventh,
for example, can be found diatonically in five different places, but its most
important function is to define tonic, as part of a V7, from sol to fa (or acting
as sol to fa on a secondary level).
Here, then, is a chart to illustrate the scale degree pairs I use most often,
along with their corresponding interval labels. (The scale degree pairs that
are starred get a bit more attention than those that are not.)
Figure 1
I. Pairs used for ascending intervals found in major keys:
m2: *Ti-do; mi-fa M2: *Do-re; re-mi; *fa-sol; sol-la
m3: *Ti-re; *re-fa; *mi-sol M3: *Do-mi; *fa-la; *sol-ti
P4: *Sol-do; do-fa; re-sol
P5: *Do-sol
TT: *Ti-fa; *fa-ti
m6: *Mi-do M6: *Sol-mi
m7: *Sol-fa M7: Do-ti; fa-mi
II. Pairs used for ascending intervals found in minor keys:
m2: Re-me; *sol-le M2: Me-fa
m3: *Do-me; *fa-le M3: *Me-sol
m6: *Sol-me M6: *Me-do
d7: *Ti-le
III. Pairs used for descending intervals found in major keys:
m2: *Do-ti; *fa-mi M2: *Re-do; *mi-re; sol-fa
m3: *Re-ti; *fa-re; *sol-mi; do-la M3: *Mi-do; *la-fa; *ti-sol
P4: *Do-sol; fa-do
P5: *Sol-do
m6: *Do-mi M6: *Mi-sol
m7: *Fa-sol M7: Ti-do
IV. Pairs used for descending intervals found in minor keys:
m2: Me-re; *le-sol M2: Fa-me
m3: *Me-do; *le-fa M3: *Sol-me
m6: *Me-sol M6: *Mi-sol
d7: Le-ti
Let me re-emphasize that I am not concerned with teaching intervals as discrete
aural phenomena, but teaching important tonal patterns that can be given interval
labels.
The next step in the process is to relate these intervals to triad types and
harmonies. I begin this while students are learning about triads and harmonies
in theory. Students first need to learn what syllables/scale degrees are in
each diatonic triad. I in fact give them written quizzes on this, to encourage
them to learn these quickly. We then start talking about what harmony a particular
scale degree pair most likely belongs to. So, for instance, after establishing
tonic, I may play ti-re. The students sing back "ti-re, minor third."
I then ask them what harmony this particular scale degree pair/interval most
likely belongs to. The obvious answers are V and viio. We also consider the
possibility that two different harmonies may be involved. If I instead played
re-ti, then ii-V becomes a possibility as well. My hope is that with this type
of approach, the skills learned in ear training will transfer more directly
to a student's work in theory and performance: if the student sees, for instance,
an ascending perfect fourth in the bassline of a Baroque composition that he
or she is studying, the student will think and hear sol-do, and recognize it
as some kind of V-I relationship, whether primary or secondary.
I approach the study of triads in the same way. While I believe that a certain
amount of "triad quality" recognition should be present, especially
at the beginning stages, quality alone is not sufficient. Just as it is with
intervals, so it is with triads. Like-quality triads, in the context of a key,
may not sound the same at all. For example, take the case of the ii chord, a
minor triad in a major key. In context, whether in root position or first inversion,
this chord does not to my ear sound nearly as "minor" as either a
minor tonic or a minor subdominant in a minor key. I believe Rameau's assertion
that a ii is really a subdominant chord with an added sixth, and by extension,
that ii6 is a subdominant chord with a sixth replacing the fifth, and I really
do experience it that way. Having the strong subdominant note in the bass with
a major third above it gives this ii6 chord a quality somewhere between major
and minor, and arguably closer to major. So very soon after introducing triads
in theory and introducing the sound of major, minor, augmented, and diminished
triads, we start identifying single triads in the context of a major or minor
key. I again establish a key with a short cadence and have the students sing
do frequently to keep that focal point in their inner ear. Then as a triad is
arpeggiated, the students sing the syllables and identify the triad by Roman
numeral, inversion and type. Their beginning chord repertoire includes the following
chords and inversions:
Figure 2
I/i, I6/i6, I46 / I46 ii/iio, ii6/ iio6 IV46 /iv46
V, V6 viio, viio6
I coordinate this harmony identification practice with their sight singing in
several ways. One is by analyzing the melodies in their sight singing text before
singing them, looking for any harmonies that they recognize. Another is by singing
harmonic progressions, in the form of exercises I have given to the students
on handouts. One handout is a melodically written out circle-of-fifths progression
in both a major and a minor key. A Roman numeral is placed under each harmony:
Example 2
etc.
The purpose is to make explicit the harmony that the student is singing when
he or she is singing a particular group of syllables. The emphasis is again
on scale degrees and harmonies in context, not just quality of the triad or
where the root is. An added benefit of this particular exercise is that it presents
a good opportunity for students to see melodic lines as written-out chord progressions,
or, stated another way, to see harmonies horizontalized. It helps reinforce
the notion that, Bach chorales notwithstanding, most tonal melodies do not present
a series of pitch classes to be harmonized individually, but rather successive
groups of notes which belong to a single harmony. This type of harmonic practice
has another benefit as well: it feeds right into the practice of taking harmonic
dictation.
Given the type of scale degree practice and triad/harmony practice that a student
would have had up to this point, it makes sense to begin harmonic dictation
as a logical extension of that practice. I introduce it when students are learning
about harmonic progressions in their written theory; i.e., what chord successions
are likely or unlikely in this style. We begin with basslines. Students hear
a short bassline, sing it back on syllables, and determine the most likely chord
progression or progressions that would fit that bassline. We discuss the possibilities
of, say, a do-fa-sol bassline. The most likely progressions are of course I-IV-V,
or I-ii6-V. Without any further information, the second chord remains in question,
but the first and third chords can reasonably be assumed to be I and V, respectively.
The next step is to play the soprano. If do is the second note, then the second
chord must be IV. If re is the second note, the second chord must be ii6.
Students work for a while exclusively with bass and soprano lines as a way of
learning typical tonal patterns or cliches that suggest certain chord progressions,
and also as a way of learning to distinguish bass and soprano lines from each
other, and from the other notes that will be present later in three- and four-voice
chords. When only two voices are played, triad quality cannot be ascertained
with 100% accuracy (i.e., is it IV or ii6 if la is in the soprano?), but students
learn instead to concentrate on what the possible chord choices are, given a
particular bass and soprano line and a tonal context, and they realize that
the choices are limited indeed. Naturally, when other voices are added, chord
quality becomes a factor, and provides additional information, but it is neither
the only information nor the most important information to be processed. I discourage
listening primarily for chord quality and location of the root since that encourages
vertical listening and thinking, almost to the exclusion, it would seem, of
hearing the individual lines in a musical texture. Rather, by combining the
various pieces of information that the student has (bass and soprano notes,
knowledge of typical tonal chord progressions, and the chord qualities), the
student can make an informed decision that will be at worst, reasonably accurate.
Obviously, the more information the student has, and the more the student knows
about what to expect given this information, the more the student will be able
to recognize and understand what he or she has heard. Working in stages by playing
just the bass line first, adding in the soprano next, adding in the complete
chord last, and stressing the need to integrate this aural information with
the information being taught in written theory helps students tremendously in
working with chord dictation.
Without a systematic approach, such as the one I am proposing, students often
feel frustrated and lost when trying to do chord dictation. They do not know
where to begin or how to determine what any particular chord or chord progression
might be. They often do not realize that in a typical, tonal 5-chord progression
(e.g., I - ii6 - I46 - V - I), not every possible chord is a choice for each
of the five chords. But knowing the bass and soprano note for every chord eliminates
many of the possibilities, and knowing something about musical grammar and syntax
narrows down the choices even further. What remains are reasonable choices.
If fa is in the bass and la is in the soprano and the student still can not
discern whether the chord is ii6 or IV, the error is not so egregious. Both
would be equally likely and possible, and distinguishing between them is not
nearly as crucial as between, say, a ii6 and a vi46 , chords that are neither
interchangeable nor equally likely to appear in any given context.
As a cautionary note, I would like to paraphrase Karpinski and point out that
my goal when teaching harmonic dictation is not to produce musical shorthand
takers. It is to produce students who can hear a passage of music and recognize
and understand what is happening harmonically. There is much to be gained by
a student through the working out of the solution to the harmonic progression
he or she heard. It is vitally important that students learn to use all the
information they have when listening to music in order to know and understand
what they are hearing. Probably more than any other exercise normally practiced
in an ear training class, taking harmonic dictation forces students to integrate
the aural information they are receiving with the theoretical information they
already have in order to come up with the correct answer (or at least a very
plausible answer). To illustrate, let's assume a student hears a harmonic progression
and is unsure of the fourth chord. The student must first remember what was
heard and then sing it back in his or her head. Say in chord #4, the student
heard le in the bass and fi in the soprano, and heard both notes move outward
by half step to a dominant octave. Further, let's assume that the student knows
that the defining characteristic of an augmented sixth chord is the interval
of an augmented sixth, which typically resolves outward to the dominant octave.
Our student has a lot of information, both aural and theoretical, on which to
base his or her decision. Bringing all that information to bear on this progression,
our student can reasonably assume that the chord in question was an augmented
sixth. On a subsequent playing the student will be expecting an augmented sixth
chord and will listen with that expectation and perhaps now hear at least two
chords as a musical unit: the augmented sixth and the V to which it resolves,
and which, ipso facto, helps him or her to hear the augmented sixth as an augmented
sixth.
Summary
I have attempted to offer suggestions for some new strategies that I have found
useful and successful in teaching ear training, especially regarding the thorny
issue of how to teach intervals in ear training, if at all. In my own teaching,
I have been particularly encouraged in my approach by students who have already
had some high school or college level ear training, and who therefore have a
basis for comparison. They comment that this type of systematic, contextual
approach has been much more beneficial to them than the less methodical non-contextual
approach they were exposed to previously. I continue to experiment and try out
new strategies, and hope that the foregoing discussion will persuade others
to do likewise.