Notes on Lecture: Music Theory, Perception, and Technology
Course Context: Logistics, Grading, and Class Tone
Quizzes and grading mechanics
Each quiz is worth less than 1 ext{%} of your final grade.
Each question on a quiz is worth less than 0.1 ext{%} of your final grade.
All “little” points accumulate and will balance out in the final grade.
Perusall assignments are worth 1 ext{%} of the final grade each.
The grading team has discussed contingencies for edge cases, but the goal is to keep grading easy and fair; the instructor dislikes grading and aims to minimize it for students.
The big weights lie in the exams and papers the instructor grades; they are the major components of the grade (roughly 20 ext{-}30 ext{%} for exams/papers, etc.).
Perusall grading and transparency
All Perusall grades are released to students so you can track progress.
Perusall grades are not AI-generated; they’re calculated by the instructor using multiple factors.
Scores are quantized to values 1, 2, or 3; multiple paths can achieve each score.
The point is to do the reading, write comments, and engage with the material, not to discover the exact answer key.
If there are issues with a Perusall grade, contact the instructor for review.
Communication and roles
Email the GSI (not Professor Marquez) for most course questions; the GSI handles grading and section logistics.
The instructor will answer questions about exams, grading, and Perusall, but the GSI is the main point of contact for most issues.
If you email the professor, cc the GSI; otherwise your messages will likely be forwarded.
Classroom culture and attitude
The instructor emphasizes staying calm and not spiraling about grades.
Acknowledge that it’s the beginning of the semester; major exams come in two weeks (
The upcoming exam covers topics from lectures, readings, and slides; a study guide outline is not promised, so slides are your primary study tool.
Exam logistics and accommodations
The exam is scheduled for a date around Rosh Hashanah; if you’re traveling, you should discuss accommodations with the instructor.
An alternate assignment will be provided for those who travel for religious observances.
You’re expected to bring a pencil to class for the exam.
The twenty-fourth (calendar correction noted in class) is the exam day; verify with official course communications.
Group dynamics and expectations
Students will pair up for quick discussions; the goal is to engage with concepts and think critically about the material.
There’s an emphasis on avoiding eye contact during certain moments when the instructor is highlighting common anxieties; it’s a lighthearted classroom technique.
Core Musical Concepts: Context, Perception, and Musical Constructs
Contextual nature of musical concepts
Melody, rhythm, scale, and harmony are contextual constructs, not absolute essences.
Question prompts: Is melody more or less important than rhythm or accompaniment? The answer reflects weighting in musical understanding; melody is often considered highly important but depends on context.
We inherently project biases about what constitutes a melody, its function, and its weight within a piece.
Pedagogical anecdote: tuning and overtures
A Japanese folk musician reportedly cited the overture as his favorite piece, highlighting how a listener can be more engaged by what precedes the main tune (the tuning sequence) than the overture itself.
This illustrates contextual listening and how form labels influence perception.
Western-centric framing and cultural bias
Many musical constructs (melody, harmony, rhythm, scales) are taught within a Western art-music framework.
These constructs may not transfer neatly to other musical cultures or non-Western traditions; a vocabulary built for one tradition can misdescribe others.
Analogy: describing Skittles with a vocabulary built only from red and blue M&Ms leaves out green Skittles; similarly, applying Western music theory universally can obscure other musical systems.
The role of “constructs” in perception
Our perception of music is shaped by how we categorize and label sounds (e.g., “this is the melody,” “this is rhythm”).
The same sound can be read differently depending on the cultural framework and training of the listener.
Anecdotes on rhythm and harmony in different cultures
The harmonics and tuning systems affect how chords are perceived; the carillon example uses a minor harmonic series, giving particular overtone emphasis and timbre that differ from equidistant Western tuning.
Carillons are tuned to produce overtone structures that emphasize minor thirds, affecting chord quality perception.
Harmonic series and timbre
Every pitch contains overtones; timbre is determined by the relative strengths and ratios of these overtones.
The pentatonic scale frequently appears across many cultures because it aligns with natural harmonic relationships, though this is not a universal law of all music.
Formula: a sound’s frequency f has overtones at frequencies that are integer multiples of f, i.e., f, 2f, 3f,
4f,
etc. The harmonic series constrains possible scales and chord structures in many musical traditions.
Pentatonic scale and universality discussion
The pentatonic scale emerges from natural harmonic relations and appears cross-culturally; however, it is not guaranteed to be universal for all musics.
Western bias critique of theory and analysis
Schenkerian analysis and functional harmony were developed in Western contexts; applying them universally can erase non-Western music’s structural logic.
The term “hot cross buns” is referenced as a famous, simplified harmonic progression (often used as a teaching example in early analysis).
The discussion highlights ethical and methodological concerns: Music theory emerged as a discipline in the 1960s, and earlier scholarship framed music in Eurocentric terms.
Readings and media references:
Phil Yule, Music Theory and the White Racial Frame.
Adam Neely’s video interview with Phil Yule.
The goal is to be mindful of biases and frameworks when analyzing or describing music to avoid ethnocentric conclusions.
Carnatic music and contextual knowledge
Carnatic music uses ragas and associated moods, times of day, and social/cultural cues; this knowledge shapes how practitioners perceive and describe music.
If you grow up with a Carnatic framework, you’ll interpret a raga differently than someone trained in Western theory; meaning is culturally entangled and flexible.
Figure Bass, Schenker, and Music Theory Pedagogy
Figure bass: purpose and use
Two main purposes:
Describing the relationship between a bass note and the intervals it implies in chordal structure.
Practical application in Baroque/early Classical music to construct chords from a figured bass.
Rationale for learning figure bass in Western histories: it maps onto Schenker’s reduction theory (Schenkerian analysis), which reduces a complete work to essential harmonic/melodic structures (often framed as a hierarchy of chords like I, V, ii, etc.).
Heinrich Schenker and reduction theory
Schenkerian theory posits deep structural layers in tonal music, often represented by a hierarchy of chords (e.g., I–viio6–I, etc.).
The humor in the instructor’s commentary reflects a widely known critique: not all music adheres to Schenkerian logic, and applying it wholesale can mischaracterize jazz or popular music.
Practical caution on theory vs practice
Jazz harmony (e.g., ii–V–I progressions) can be described humorously as “hot cross buns” in a simplified view, but jazz often uses more complex, non-functional approaches.
The takeaway: theory is a tool, not an all-encompassing rulebook. Avoid universal claims that deny diversity in musical practice.
Ethical and scholarly context
Reiterate that some criticism of traditional theory comes from publications like Phil Yule’s essay and related discussions; the aim is to examine implicit biases rather than attack colleagues.
Summary takeaway
We should recognize the historical contingencies of theory and use a diverse toolbox to analyze music while remaining aware of cultural biases and presumptions.
Technology in Music: MIDI, Quantization, and Cultural Implications
Technology as a driver of musical practice
Technology expands what is possible in music creation and performance, sometimes by lowering barriers to entry (e.g., sampling, synthesizers).
The discussion uses the example of J Dilla (a producer) to illustrate how technology enables new creative workflows, such as using samples and unquantized rhythms to achieve human feel.
The cycle: innovation enables new music practices, which in turn influence future generations and tooling.
MIDI: origin, purpose, and terminology
MIDI stands for Musical Instrument Digital Interface.
Created as an open standard to allow devices to communicate; it describes data (notes, velocity, control changes, tempo, time signature) rather than audio itself.
MIDI as a form of encoding and as a protocol for device control; it’s a programmable language for music data.
Historical terms in MIDI’s development included “master/slave” language for controlling devices, which reflects early control paradigms.
Modern MIDI: MIDI sequences describe a series of notes with timing and global metadata (tempo, key, time signature).
MIDI as quantization and its implications
MIDI encodes discrete performance data which tends to impose a grid-like structure on music (a form of quantization).
The tension: music is inherently continuous and nuanced; technology imposes discrete representations that may constrain or shape how music is produced and perceived.
When applying digital tools, it’s essential to understand the control logic (e.g., grid-based timing) and how it shapes musical decisions.
Perception, control, and the rule of three in music technology
The rule of three (a comedic or cognitive principle) appears in discussions about pattern establishment and deviation; in music, repeating a figure can legitimize it, while the third iteration can set up a pleasant deviation or surprise.
With technology, predictable grids and quantization can influence listener expectations, making deviations more salient when they occur.
The broader critique of technology in music
Technology can blur lines between “real” instruments and electronic tools, prompting debates about what constitutes a musical instrument.
MIDI, sampling, and synthesizers serve as examples of how technology encodes, reproduces, and alters musical performance.
It’s important to understand the historical and social contexts of these tools to avoid naive conclusions about music and technology.
Practical notes on MIDI literacy
A MIDI file is a sequence of events that encodes notes, timing, and performance data; it does not contain audio itself, which is generated by sound engines or synthesizers.
MIDI is a form of digital control data, not a direct representation of audible sound.
Understanding MIDI helps explain how electronic music production workflows operate and why certain sounds are produced in particular ways.
Perception, Pattern Recognition, and Listening: Four Thirty Three and Beyond
Perception as pattern recognition
Music is a form of pattern recognition: listeners form expectations and respond to deviations or fulfillments of those patterns.
This pattern-based listening explains why certain musical choices feel satisfying or surprising.
Four Minutes and Thirty-Three Seconds (Four 33)
Four Thirty Three is discussed as a provocative example that shifts the focus from the performer’s playing to the surrounding environment and audience listening conditions.
It challenges the conventional notion of what constitutes music by turning attention outward (to ambiance, noises, room acoustics) rather than inward (to the performer’s technique).
The piece is used to illustrate that what counts as music can depend on perceptual framing and intentional listening strategies.
Perception across cultures and training
People with different musical backgrounds may perceive the same sounds differently due to cultural entrainment and learned patterns.
For example, expectations built from Western tonal harmony may limit how one perceives non-Western musical systems (e.g., Carnatic ragas or modal practices in other regions).
Case studies in perception and practice
Jazz improvisation and pattern repetition: improvisers study patterns (licks, cadences) and incorporate them into soloing with personal variations; repetition can legitimize a chosen motif, enabling deviation later.
Organ improvisation vs. jazz: in organ playing, repetition can delegitimize if overused in worship settings; different performance contexts have different norms.
The role of listening context and environment
Perception is influenced by environment, ensemble interaction, and the social context of listening (e.g., live performance vs. studio context).
Rationale for critical awareness in perception
Recognize that perception is not objective; it’s shaped by training, culture, and expectations.
The goal is to develop flexible listening strategies that account for multiple musical systems and contexts.
Group Discussion: Technology, Culture, and Ethics in Music
Technology as a social and cultural artifact
Technology can perpetuate stereotypes by providing new spaces for categorization; it can also enable human connection and cross-cultural interaction.
The Rice article (and related discussions) suggests that technology can both challenge traditional notions of who counts as a musician and create new collaborative possibilities.
Technology and production: Dilla as a case study
Technology enabled Dilla to realize a musical approach that might have been harder to achieve with traditional means; the use of sampling, non-quantized rhythms, and loops created a distinct sound and workflow.
The discussion notes that the human feel—unquantized timing, deliberate looseness—can be achieved through technology, but only if artists choose to leverage it in that way.
Quantization, tempo, and human feel
Quantization snaps notes to a grid, which can produce a precise, mechanical feel; many producers intentionally avoid full quantization to preserve a human “groove.”
Repetition, expectation, and surprise in music
The rule of three in pattern establishment is a cognitive device to create expectation and then introduce surprise, which holds across genres.
The question of what counts as a “real instrument” in the age of electronic music
Synthesizers, MIDI controllers, and other electronic systems challenge traditional definitions of a musical instrument.
The discussion highlights the need to reframe what we mean by “instrument” in light of contemporary practice.
Perception and bias in technology design
Designers’ decisions about data types, control structures, and interfaces embed particular philosophical and cultural biases; understanding these helps musicians use technology more thoughtfully.
Summary takeaways
Technology should be considered as a toolkit that expands creative possibilities while also shaping artistic decisions.
Critical awareness about how tools encode control, timing, and interaction helps students articulate why certain creative choices are made.
Exam Prep Takeaways and Practical Guidance
Focus areas for the upcoming exam
Core topics: melody, rhythm, scale, harmony; contextuality of musical constructs; the harmonic series and timbre; pentatonic scale origins; Western bias in theory and its critique; figure bass and Schenkerian reductions; the role and history of MIDI; quantization vs. human feel; Four Thirty Three and perception; Carnatic music and ragas as examples of alternative frameworks.
Study strategy recommendations
Prioritize slides as primary study material, with readings and discussions to contextualize the concepts.
Be ready to discuss the cultural biases in Western music theory and articulate examples where those biases show up in analysis.
Prepare to explain how technology (MIDI, sampling) affects music creation and listening, including the concepts of quantization and control data.
Study guide expectations
The instructor indicated that a formal study guide or outline may not be provided; focus on understanding lecture content, slides, and assigned readings.
Practice explaining terms to someone from a different musical background to emphasize contextual understanding.
Quick Reference: Key Terms and Equations
Harmonic series and timbre
Overtones exist above the fundamental frequency; timbre is determined by the relative strengths and ratios of these overtones.
Frequency and octaves
Doubling frequency corresponds to an octave higher:
f{2} = 2f{1}
If f{1}=440\,\text{Hz}, then f{2}=880\,\text{Hz}.
Measuring scales and resonance
Pentatonic scale: a scale built from five notes per octave, often arising from natural harmonic relations.
MIDI and data encoding
MIDI is a protocol: it encodes performance data (notes, velocity, tempo, etc.) for devices to communicate; it does not transmit audio.
Relationship to quantization: MIDI data is inherently discrete and grid-based, which can influence musical timing and phrasing.
Functional vs. contextual theory
Schenkerian reduction emphasizes hierarchical tonal structure (e.g., I–V–I patterns), but not all repertoires conform to this logic; be mindful of ethnocentric biases when applying it.
Repetition and pattern logic in improvisation
Repetition can legitimize a motif; the third iteration can introduce a deviation that sustains interest.
Four Thirty Three: perceptual reframing
Shifts focus from performer to environment and audience, challenging conventional definitions of music.
Summary
The transcript presents a dynamic lecture blending course logistics with deep explorations of how we think about music, technology, and perception.
Central themes include: the contextual nature of musical constructs, the cultural biases embedded in Western music theory, the role of technology (especially MIDI) in shaping music creation and listening, and the importance of flexible perception that accommodates multiple musical traditions.
The educational aim is not to replace one canonical theory with another, but to cultivate critical thinking about how we construct knowledge in music, how biases arise, and how theory and practice can evolve with culture and technology.