FEATURES of a VOICE STRUCTURE GRAPH

To complete your preliminary analysis of a short tonal work, use a double grand staff in landscape (horizontal) format, showing the surface of the piece (basically all of its notes) on the bottom pair, and its fundamental progression on the top pair.

(A) The lower staves include:

(i) Stems-up notation of the full melody, with barlines and key signature(s). Write beams, stems and flags lightly.

(ii) Measure numbers corresponding to the score, in small boxes above the staff.

(iii) Most of the rest of the notes unstemmed — written lightly according to their positions in the score.

(iv) No clef changes, and no rhythmic information in non-melodic voices; limit ledger lines above the bass clef or below the treble.

(v) Clearly marked & labeled notes in the treble: These are marked with a long stem (extending above the flags and beams of the rhythmic notation), and a karated (^) scale-degree number.

— one melodic note representing the most stable “primary tone” (Kopfton) of each phrase—usually in the first phrase of the piece it will be 5^, 3^, or 8^—and in other phrases, a member of a stable triad

— two representing the cadence—usually descending by step (e.g. 3^ 2^ or 6^ 5^) or repeating (e.g. 5^ 5^). 

(Note: If the Kopfton seems not to be “prolonged” all the way to the intermediary and cadential harmony of the phrase, consider either (a) choosing a different primary melodic note, or (b) identifying an additional prolonged note 1 step away, that “bridges” to the cadence. In either case, IF you choose Kopfton, bridging tones, and cadential tones that connect via stepwise motion … this will express that you hear the melody in a coherent, overall stepwise structure.)

(vii) clearly marked & labeled notes in the bass:

— the bass notes that are the “essential support” of the primary tone and cadential tones in the treble. Mark them with stems (down) and Roman numerals with figures. (No additional marking is necessary to clarify that these are the prolongational and cadential harmony!)

— if the cadence is authentic, you should usually locate one bass note that prepares the dominant. Mark it “PD,” and slur it to the bass note of the cadential dominant. (No additional marking is necessary to clarify that this is the intermediate harmony.)

— if appropriate, somewhere between the prolongation and the cadence, stem a bass note a third above or below the bass of the prolongation: usually I6, vi, or iii in major, i6, III, or VI in minor. 

(vii) Finally, to help explain the remaining notes, mark them as elaborations: NCTs, CS/Arp., voice-exchanges, unfoldings(only when necessary!), and linear intervallic progressions. None of these need to be marked if they are obvious—focus on those that help account for the treble and bass notes not yet “spoken for” in step vii and vii. 

(B) In the upper staves, produce a more highly reduced version of the detailed graph, that works directly “in rhythm” with the lower analysis. You don’t need to include Roman numerals beneath bass stems, because they should be clearly visible beneath the bottom pair. The upper staves include:

(i) harmonic structure 

— show the prolongational harmony, intermediate harmony, and cadential harmony as simple chords with stemmed melodic notes

— add any “thirds” elaborations (I6, VI, III, etc.), and any harmony that supports the important stemmed notes in your melody.

(ii) the basic melodic structure, clarifying how the melody moves by steps, toward the cadence.

Analysis of a Mozart Sonatina Movement (Music 202)

The whole of the collection is linked to the calendar for sight reading. Please consult this sign-up sheet for a list of movements acceptable for the assignment. Below are the basics of this assignment.

This assignment, in simple, concise terms: Step 1 is a graph of the work that clearly shows the cadences, and clearly shows a “prolongation”, both in terms of melody and harmony. Step 2 is a graph that more completely describes the melody, in terms of any of several types of melodic elaboration, and as a result, shows "melodic coherence" that connects all elements of the melody, from the beginning of each phrase to the end.

STEP 1

1. Write-out the melody, stems-up, on horizontal staff paper. Represent the harmony in the work with unstemmed non-melodic notes, leaving out all rhythmic information. In simple pieces like these, generally every note should be represented roughly in its position relative to the melody, excepting highly repetitive notes. Identify the main harmonies of the work, focusing first on cadential harmony, and then tracing a path back from the cadence to the beginning of a phrase.

2. Mark the bass notes associated with cadential harmony, for example, using longer, downward-reaching stems: a V and a I (or i) with any full cadence; a “V” with one antecedent (usually a I or i) for any half cadence..

3. If possible, identify a bass note prior to each full cadence, that you think *leads* to the V — a “predominant” bass note (PD). Draw a slur connecting it to the V.

4. Examine the melody with in the context of what you’ve learned in the first three points above, and consider the following question:

  • Are there two notes in the melody principally associated with the two cadential harmonies? If not, can the melody be further reduced (via melodic reduction), in such a way that its basic progression (from dominant to tonic, or vice versa) is shown more simply?

    • Is there likewise a note best associated with “prolongation”, such that it connects coherently with the cadence? Feel free to guess at this, even if you aren’t sure.

STEP 2

  1. With slurs and abbreviations, mark all *elaborations* in the melody — using page 40 of the Kennan as your guide.

  2. Mark structure in the melody: For each elaboration you identify that is *not a passing tone*, draw a higher, bolder stem, representing the note that you hear as *being* elaborated.

— For example, if you mark an appogiatura, or a suspension, place a higher, stronger stem on the resolution of that NCT.

— For accented passing tones, stem the note that it passes *to*. For unaccented passing tones, no mark needs to be made at this stage.

— For neighbor notes, you will usually have two choices—but they will be the same pitch—so just choose one that you think sounds stronger, in the rhythmic or metric sense.

— For cadential 6/4 chords, stem one note corresponding to the 6/4, and another for its resolution. This is the only example where we will stem a note that is technically unstable, or ornamental.

3. Having marked the structure above, does any other possibility for coherence (in the melodic structure) emerge?

 

Choices:

I:
TRIO (p 4)
ADAGIO (p 5)

II
TRIO (pp 10-11)
III
MENUATTO (p 16)
RONDO (p 17-18)
IV
ANDANTE GRAZIOSO
TRIO (pp 20-21)
V
ADAGIO (pp 24-25)
MENUETTO (pp 25-26)
POLONAISE (p 28)
VI
MENUETTO (p 32)
TRIO (p 33)

 

 

 

Analysis/Synthesis, Theory/Observation, Theory/Practice, Practice/Critique

***

Here are some definitions and reminders on the meanings of foundational terms in this discourse: analysissynthesistheorypracticeempiricism and criticism. All from their Greek roots. 

Analysis is the revelation of (sometimes hidden) parts and their relationships to a perceived whole^1. Analysis—derived from Greek ana- (“back” or “away”) lysis (“loosening”), thus “to loosen up” or “to release from entanglement”—refers to comprehension through understanding the separate parts of a perceived whole, and discerning their relationships to eachother. Use this term when you want to let people know that you plan to look at something in an unusual way: unusual in the sense that our usual experience of it makes no immediate distinction among its aspects and features, and the less obvious view, with those distinctions, might be useful—as when comedian John Mulaney analyzes a social phenomenon like mainstream news watchers adjusting to Trump’s presidency, or a pianist or guitarist shows that adding “flat 9” can strengthen the force of resolution in a dominant or dominant-functioning chord.

Analysis can be a precursor to an opposite thought process, called synthesis (from syn-, meaning “together”, and tithenai, meaning “placing, putting”). Synthesis brings together things normally perceived to be separate, and yields a whole or a pattern that might otherwise go unrecognized^2. Synthesis is necessary, for example, to show that lake core samples in sub-saharan Africa and glacial core samples in Mongolia tell the same centuries-long story of atmospheric carbon and global climate … or to tell that songs like Bessie Smith’s Empty Bed Blues, Ray Charles’ Night Time is the Right Time, the Beatles’ Hard Day Night, and Prince’s Kiss, are derived from the same melodic form.

Analysis and synthesis can work together to support theory (from roots meaning “to speculate” or “look over”): the imaginative use of known ideas, and known patterns, as starting-points for contemplating new phenomena. One could think of successful theory as the result when analyses show components that are shared among a variety of experiences (and practices). Those commonalities can be synthesized to show a pattern or a system that has explanatory or predictive power^3. For example, I might describe the relationship between the first and second vertical intervals that form cadences in the music of late 15th- and early 16th-c. French/Burgundian composers. Observing a high frequency of 6ths and 10ths, followed by octaves, or 3rds followed by unisons (all of which are relationships between parts), I then move to composers from other regions, and notice that elsewhere a wider variety of intervals is used in cadences. From this I can form a theory that might help me predict what I’m likely to find in Burgundian music, or in other music, at that time—it might even help me explain why some Florentine composers display similar patterns in their cadences, if I can associate those common features with some other information—for example, questions of French influence on the Italian madrigal^4.

Good theory should involve at least some projection—that is, it needn’t merely explain known experiences, but can be a basis for imagining and exploring the unknown—it might help me understand a tradition of improvisation in the next generation, or it might help me guess at the chains of influence that affected later composers, or even how musicians and listeners might have regarded the music in question. Einstein’s theory of general relativity uses information from common experiences of gravity and connects them hypothetically to scales beyond common experience—to speculate that space and time are connected in a single fabric^5. Dahlhaus theorizes the relationship between a “cult of genius” in the 19th century and the tendency of 19th century composers to rely on ever-smaller thematic materials, and to make use of modulatory sequences in those basic materials^6.

Theory complements practice (or praxis, from prattein, meaning “do”), first in that practice is actually where questions arise that theory might answer (like why are 19th-century compositions longer, and more chromatic?). On the other hand, theory can economize and facilitate practice^7—as practicioners, for example, we learn new melodies more easily because we begin with some idea, intuitive or otherwise, of what other melodies have in common. But that sword has another edge—in philosophy of mind, starting with Immanuel Kant—theory is often contrasted with empirical observation” and/or “pure experience”^8 (just recall that empirical studies are studies in which the main source of information is supposed to be observation, rather than reasoning). A view of the world that’s conditioned by theories or other abstract expectations is said to be “theory-laden”^9: theory can inhibit sponteneity, and cement expectations, in ways that limit how we take in new experiences—in other words, it can be more of a burden than an asset. (The sciences are supposed to regard theory skeptically, framing questions and collecting information that could falsify it, and always privileging observation over theory, when they conflict.)

But before you look askance at “theory” as the dark side of the force, beware of imagining yourself somehow free from theory… or trying to dwell unencumbered in a world of objective, unmediated experiences. Since all perspectives—without exception—are limited and filtered, theory, at its best, helps us look at the world together, and see dissent more clearly. In place of empirical pretenses to “transcendant” knowledge, it might be better to presume that all our perspectives have limits and biases, and work to identify those limits with humility. Following that impulse, the popular term “scientific method” usually refers to conservative and skeptical thought in which nothing is presumed until tested from a wide range of perspectives, i.e. until we know its true scope in the world of real experiences. Theory, by contrast, is an exceptional world of the imagination, in which we at least hope for some point of view on the unknowable. Theory shouldn’t be worn like ideology^10 (for example, the way a shallow reading of Marx’s theory of Capital might make everything associated with bourgeois culture seem inherently oppressive). But in its best uses, be the study of our particular positions and practices, guarding carefully against false universals.

Theory’s relationship to practice, finally, is distinct from that of criticism (or critique^11from kritikos: to sort good grain from bad, or to sort types of grain from one another), which is any examination of the relationship of a practice to cultural values and ideals.

NOTES

^1. Edward N Zalta (ed.). “Analysis”, in the Stanford Encyclopedia of Philosophy. See also David Lewin, “Behind the Beyond: A Response to Edward T. Cone”, in Perspectives of New Music. Vol. 7, No. 2 (Spring - Summer, 1969), pp. 59-69. See also “Kant’s Moral Philosophy”, in the Stanford Encyclopedia of Philosophy. [Retrieved 8 Dec 2017.]

^2. This is a somewhat simpler view of synthesis than Hegel’s, where the operation is the end of a triad launched from “thesis” and “antithesis,” but the logic still applies; theses can be analytical claims, and antitheses can be the limits of those claims’ relevance within a typology or a range of related experience. See also Sarah Schnitker and Robert Emmons, “Hegel’s Thesis-Antithesis-Synthesis Model” in the Encyclopedia of Sciences and Religions (Berlin: Springer, 2013).

^3. For a good primer on modern uses of the term “theory”, see the introduction of Peter Godfrey-Smith’s Theory and Reality: An introduction to the philosophy of science, Chicago: University of Chicago Press, 2003. For more polemics on the limits of theory, see Feyerabend, Paul K. [1975], Against Method, Outline of an Anarchistic Theory of Knowledge. Reprinted, Verso, London, UK, 1978.

^4. See William Bowen (“The Contribution of French Musicians to the Genesis of the Italian Madrigal”, in Renaissance and Reformation / Renaissance et Réforme | New Series / Nouvelle Série, Vol. 27, No. 2 (SPRING / PRINTEMPS 2003), pp. 101-114.

^5. Nola Taylor Redd, “Einstein’s Theory of General Relativity.” Space.com November 17, 2017. [Retrieved 1 January 2018.]

^6. Carl Dahlhaus’s “Issues in Composition” in Between Romanticism to Modernism. Translated by Mary Whitall. Berkeley: University of California Press, 1980.

^7. Oliver Quinlan, “Praxis: Bringing theory and practice to teaching” [blog, retrieved 14 Dec 2017]. The contemporary use of the term praxis to resist conventions of established and institutionalized knowledge in favor or process-based and situated knowledge was powerfully initiated in Paulo Freire, Pedagogy of the oppressed. New York: Penguin, 1970.

^8. See William James, “A World of Pure Experience” in Essays in Radical Empiricism. New York: Longman Green and Co., 1912; or [it’s easier, if indulgent:] Ben Leeds Carson, “Empiricism (, radical)” in ibid. Dialogues and Questions — a framework for new media dialogue (web: UCSC DANM/Mus, 2009).

^9. Relevant to our seminar: Mark DeBellis’ “Is there an observation—theory distinction in music?” in ibid. Music Conceptualization (New York/Cambridge: Cambridge University Press, 1995): 80-116. The contemporary debate is most prominent in Jerry Fodor’s “Observation Reconsidered,” in Philosophy of Science 51, no. 1 (Mar., 1984): 23-43, and a reply from my doctoral mentor Paul M. Churchland, “Perceptual Plasticity and Theoretical Neutrality: A Reply to Jerry Fodor,” Philosophy of Science 55, no. 2 (Jun., 1988): 167-187; these are summarized beautifully in Jim Bogen and Jim Woodward, “Observations, Theories and the Evolution of the Human Spirit,Philosophy of Science 59, no. 4 (Dec., 1992): 590-611.

^10. In popular use, ideology means something like “a view of right and wrong in the world”, but I’m using it here in the way that Michel Foucault uses it (see especially “The Means of Correct Training / The Examination,” in Discipline and Punish, trans. by Alan Sheridan, New York: Vintage, 1977; pp 184-194)—to mean, more specifically, a framework that reduces diverse ideas to their rightness or wrongness on one moral continuum. if theory (or an academic discipline) becomes ideology—or becomes a way of moralizing about learning—we’ve fa

^11. Raymond Williams, Keywords: a vocabulary of culture and society. Waukegan, IL: Fontana Press, 1976: 74–76.