In music, a sequence occurs when a musical pattern is established then repeated at various transpositions. Sequences can be any combination of the following categories:
Sequences work because they rely on one of the most fundamental human characteristics: our ability to identify patterns. All music relies on a listener’s familiarity with the tendencies within a style, but these tendencies can be broken if a composer is able to create a new pattern to guide the listener. Once a musical pattern is established, it will sound “right” to a listener, even if this pattern defies standard tonal conventions.
For our discussions, we must differentiate between the overall pattern of the sequence and the individual segments within the sequence. We will use the term sequence to refer the whole, but we will use the word iteration to discuss an individual segment within the sequence. You can think of the iteration as one complete “building block” that is transposed repeatedly to create the sequence.
We will begin studying sequences by looking at melodic sequences because they demonstrate the basic principles without the complications of multiple voices. Look at the following melodic patterns; each one contains a few iterations at the beginning of a melodic sequence. Complete the pattern through the designated ending pitch and then discuss the repetition using the following terms:
Of note, when describing melodic sequences to another person, you can assume that the reader is looking at the music and therefore can see the entire first iteration. This means that you should not have to describe pattern of the iteration. Instead, we focus our description on how the pattern is transposed, not on describing the intervals within the initial segment.
The terminology for describing sequences should be familiar because each term is used in a similar manner across all aspects of music, however, each term has some specific connotations when applied to sequences.
The discussion of chromatic and diatonic sequences, however, requires clarification.
The fifth example above is the most difficult to complete and classify, because it mixes elements from both diatonic and chromatic sequences. It has a diatonic transposition, but it resembles a chromatic sequence because there is a fixed intervallic structure within the pattern. We could say that it is a diatonic sequence that descends in 3rds, but uses a fixed chromatic pattern within each iteration. The biggest problem lies with the fifth iteration because it is the only pattern that requires an altered fourth pitch rather than just a raised second pitch. Technically, there is not a “right” answer to this; it would be decided by the context and style in which the composer was using the pattern. In the completed example below, I chose to complete it using an F-sharp, because it creates a nice leading tone for the following pitch. If the pattern had been repeating at the second rather than third, the next pitch would have been an A, and I would likely have chosen an F-natural.
Sequences occur harmonically as well, and when they do, they can supplant standard function or inversion conventions. As mentioned in the introduction, sequences work because they establish a pattern for the listener and then fulfill this new goal. Look at the following example of a two voice pattern. The first bar establishes tonic, and then a sequence begins in the second measure. After listening to it, discuss with your classmates whether it sounds functional. If you were going to describe this to another person, how would you describe it? Once you finish your discussion, propose a harmonic progression that fits the melody.
What progression did you create? Did it follow standard tonal conventions? There are multiple variations on the harmonic progression for this sequence, but I have suggested one below. Using my progression, try adding a third voice as an alto line. (Remember that the sequential pattern will not start until the second measure.) Does this new voice also follow a pattern that could be described by your classfication method?
The next example uses my suggested alto voice. It provides the required missing chord tones for each chord in this progression.
In your classification of the two-voice progression above, you likely described each line individually (e.g. descending diatonic 2nds that last one whole note), or you may have describe the intervals between the two lines for each measure (e.g. a diatonic 7th resolving to diatonic 6th, then repeating after transposing down a diatonic 2nd). Neither of these is sufficient, however, once we add a third voice.
Instead, we classify harmonic sequences by describing the movement of the roots of each chord. We do not label harmonic sequences by inversions or the bass line. If we were to identify sequences by bass lines, all sequences that created a particular style of bass line (e.g. descending by stepwise motion) would be grouped together, even if they shared no harmonic similarities. (You can see this concept in the next two examples below.) Taking this into account, the description of the sequence in the example above would be:
The above sequence has only one interval and direction in its root movement pattern, a descending P5. As we saw in the final example of the melodic sequences above, though, it is also possible for harmonic sequences to have two or more parts within each repetition. Look at the example below, and classify it using our terms from above:
Hopefully you were able to identify that the sequence only covers the first three measures, the final measure is simply a way to allow the pattern to repeat smoothly. For the sequence, there are two possibilities to describe it. You could consider each measure a pattern in which case you would say that this is a diatonic sequence that descends by 3rd. If you consider the pattern to be a half note, though, it has multiple parts. It is a diatonic sequence of triads that moves down by 4th and then up by 2nd. Either is correct, but the second version communicates a clearer picture of the pattern.**
How does your description of the sequence change if we change some of the voices to alter the chords’ inversions as in the example below?
While any sequence that establishes a pattern and has clear voice-leading can function, there are common sequences that many composers have relied upon. We discussed the first of these in Unit 7a when exploring how voice-leading led to the standard circle-of-fifths progression. Now that we understand the structure of sequences, how would you describe this sequence?
Sequences can also be used to explain how non-diatonic progressions function in a diatonic context. One common sequence occurs when first-inversion chords are used in succession to create a stepwise bass line. A parallel 6 sequence is any sequence with repeated first-inversion triads, most commonly moving downward by step. Notice that this does not create objectional parallel voices as long as the root of the chord stays above the chordal fifth. If these two voices are inverted, the result will contain parallel perfect fifths. To label a sequence of parallel six chords, label each chord with its Roman numeral and inversion figure and then place a bracket under the entire sequence with a label of “parallel six sequence.”
Another of the most commonly used sequences is known as the Pachelbel sequence.
This sequence takes its name from the German Baroque composer, Johann Pachelbel, who composed a canon using this sequence as its foundation. Since then, the harmonic progression has become a common structure on which to build multiple styles of music. The comedian Rob Paravonian satired many of these takes in his now famous “Pachelbel Rant”. (Caution: contains strong language)
Further to our discussion of the importance of patterns in music, please view the following TED Talk by Dr. Scott Rickard. He used mathematics to try to create music without any repetition, and the results are…interesting.