08/22/2025 notes

Class logistics and introductory setup

• Canvas issues and ebook access were discussed: there was a minor problem with Canvas, and the instructor planned to fix it or call the support to resolve access to the ebook/code for the workbook.
• Students and instructor touched on class logistics and registration concerns (audits, registration accuracy, and minor administrative glitches with roster/two pages limit).
• Practical reminder: the workbook is referenced as a resource; code for workbook access may be shared separately to avoid uploading the whole class into Canvas.

Keyboard fundamentals and pitch names

• The piano keyboard is a sequence of white keys (natural notes) and black keys (sharps/flats).
• White keys follow the letter order: A, B, C, D, E, F, G.
• C four (C4) is middle C; C5 is the C an octave above middle C; C3 is an octave below middle C. The convention often cited is:
  • C4 = middle C
  • C5 = one octave above middle C
  • C3 = one octave below middle C
• The white keys named in order across octaves: C, D, E, F, G, A, B, and then repeats at the next C.
• The concept of octaves: same note name in different registers (e.g., G4 and G5 are the same pitch class, one octave apart).
• The grand staff (or great staff) combines treble and bass staves to cover the piano range.
• Clefs:
  • Treble clef (G clef) indicates higher pitches.
  • Bass clef (F clef) indicates lower pitches.
  • Alto clef and tenor clef exist (C clefs) but are not required to be mastered at the outset; treble and bass clefs are essential.
• Middle C sits between the two staves and is notated on a ledger line between the treble and bass staves.
• Ledger lines extend the staff to accommodate notes above or below the standard five lines.
• The staff is read left to right; pitch names can be read on either treble or bass clef, and the same pitch appears on different ledger-line positions depending on octave.
• The “measure line” extends the staff with bars; content beyond a measure resets at the bar line.

Reading and naming notes on the staff

• The staff uses lines and spaces to represent pitches; notes sit on lines or in spaces.
• The note names for the lines in treble clef (from bottom to top): E G B D F; spaces: F A C E; mnemonics were discussed (Every Good Boy Does Fine; FACE for spaces).
• The note names for the lines in bass clef (from bottom to top): G B D F A; spaces: A C E G; mnemonics discussed (Good Boys Do Fine Always; All Cows Eat Grass).
• The two black keys between sets of white keys influence the naming of sharps and flats (black keys correspond to sharps or flats).
• When counting notes across octaves, use the octave number suffix (e.g., C4, E4, G4; C5, etc.).
• On the keyboard, the reach to higher notes adds ledger lines above the staff; lower notes add ledger lines below.

Half steps, whole steps, and microtones

• The smallest interval in Western music is the half step (semitone).
• A whole step is two half steps.
• In Western tuning, the smallest standard steps are constrained to semitones in the piano keyboard.
• Some cultures use microtones; Western theory typically centers on semitone steps within the 12-tone equal temperament system.
• Special semitone relationships: B to C and E to F are natural half steps because there is no black key between them.
• Enharmonics: a note can be named differently depending on context (e.g., C# and Db are enharmonic). They are not always interchangeable in function (pitch class may be the same, but spelling matters in key signatures and harmonic function).
• Examples:
  • A sharp raises A by a half step: A# = B♭ (enharmonic but functionally different in certain keys).
  • B sharp is enharmonically C; C flat is enharmonically B; these spellings reflect theoretical function (leading tone in some keys).

Intervals, pitches, and octave relationships

• The octave is the interval from a pitch to the same pitch class an octave higher or lower (12 semitones apart).
• Example: G4 to G5 is an octave apart.
• Counting approach: the distance from G to G across the octave includes eight note names (G-A-B-C-D-E-F-G) with the eighth being the octave above.
• Ledger lines allow notating pitches beyond the standard staff, both above and below.
• Reading practice: identify pitch names on treble and bass staves; locate middle C as a reference point; count lines and spaces to locate other notes.

Major and minor tonality; relative minor and leading tone

• Common Practice Period focuses on two main modes: major (bright, happy) and minor (more somber, poignant).
• Major scale pattern (whole and half steps):
  • Pattern in semitones: $[2, 2, 1, 2, 2, 2, 1]$
  • This ensures steps: whole, whole, half, whole, whole, whole, half.
• Major scale construction example: starting on G yields G major with F# as the required alteration in the key signature.
• Key signatures introduce sharps or flats that apply to all notes of the same letter name throughout the piece unless canceled by a natural sign.
• Leading tone and tonic relationships:
  • The leading tone is the seventh scale degree that resolves to the tonic.
  • In major keys, the leading tone is typically the raised seventh (in natural minor this often becomes part of the harmonic minor when raised).
• Relative minor: the minor key whose tonic is the sixth degree of the major key (e.g., A minor is relative to C major).
• Harmonic minor adjustment raises the 7th scale degree to create a leading tone in minor keys.
• Practical mood notes:
  • Major keys feel bright and home-like.
  • Minor keys feel more melancholic; their tonal center is identified via the relative minor and leading-tone behavior.
• A quick example from the lecture walking through major tonality:
  • If starting on F, the major scale pattern is applied with F as the tonic; the key signature is built with sharps according to order of sharps, leading to an F major scale with one flat (Bb).

Key signatures: order of sharps and flats

• Order of sharps (the sequence that appears in key signatures when sharps are added):
  • F,
    bsp;C,
    bsp;G,
    bsp;D,
    bsp;A,
    bsp;E,
    bsp;B
  • In actual notation, these correspond to the sharps on the notes: F ext{ extbar}

ರುವ (written as F#, C#, G#, D#, A#, E#, B# in standard notation).

• Order of flats (the sequence that appears in key signatures when flats are added):
  • B,
    bsp;E,
    bsp;A,
    bsp;D,
    bsp;G,
    bsp;C,
    bsp;F
  • Corresponding to Bb, Eb, Ab, Db, Gb, Cb, Fb in standard notation.
• Mnemonics discussed for memorizing lines and spaces (examples):
  • Treble lines: Every Good Boy Does Fine.
  • Bass lines: Good Boys Do Fine Always.
  • Treble spaces: FACE.
  • Bass spaces: All Cows Eat Grass.
  • Additional playful mnemonics were mentioned to memorize the line/space order; choose the one you like.
• Practical drill guidance:
  • Practice key signatures until they are automatic, especially for sight-reading.
  • Use online tools (e.g., musictheory.net) to drill notes and key signatures until responses are fast and accurate.
  • The goal is to be able to read key signatures instantly, without pausing to reconstruct them from scratch.
• Determining the key signature from sharps:
  • The key signature’s major key can be found by taking the last sharp in the key signature and moving up one half step.
  • Example: 1 sharp (F#) yields G major (G is a half step above F#).
  • The number and sequence of sharps determine the major key; the order of sharps must be adhered to, and the last sharp raised by a semitone gives the tonic of the major key.
• Determining the key signature from flats:
  • The key signature’s major key is typically found by looking at the flats and taking the second-to-last flat as the key’s root in simple cases; the last flat and the overall set help determine the key.
  • Practically, memorize the 1- to 7-flat keys as: F major (1 flat), Bb major (2 flats), Eb major (3 flats), Ab major (4 flats), Db major (5 flats), Gb major (6 flats), Cb major (7 flats).
• Special note on accuracy: during the lecture there was a minor slip about the exact order of sharps for a three-sharp key; the standard, widely accepted order is F#, C#, G#, D#, A#, E#, B#, and for flats it is $Bb, Eb, Ab, Db, Gb, Cb, Fb$. Always rely on these standard orders when preparing for exams.

Enharmonics, leading tones, and key relationships

• Enharmonic spellings affect harmonic function; e.g., F# is enharmonically Gb, but are used in different keys and functions.
• B sharp and C, C flat and B—all depend on key context and scale degree function; correct spelling matters for theory and chord progressions.
• The leading tone (the seventh scale degree) is essential for establishing tonal pull toward the tonic in both major and minor contexts, especially in harmonic contexts.
• The concept of relative majors/minors:
  • The major key and its relative minor share the same key signature.
  • Example: C major has no sharps/flats; A minor (the relative minor) shares that same signature.
• The numeric and letter-based labeling is used to avoid ambiguities when reading/performing (e.g., C4 vs C3, F#4 vs Gb4).

Practice, study strategies, and exam readiness

• Drill key signatures regularly to build automaticity and aid sight-reading in auditions.
• Use musictheory.net (exercises, flashcards, and customization) to practice pitch names, staff reading, and key signatures; the instructor emphasized this as a core study tool.
• When writing melodies or exercises, write major keys with capital letters and minor/diminished as appropriate (major = capital, minor = lowercase; in standard theory nomenclature for diatonic chords and scales).
• If uncertain about a note, use the workbook and related resources to practice locating pitch positions on treble and bass staves, including ledger-line notes.
• Remember to avoid relying on rote shortcuts during exams; aim for automatic recognition of key signatures and scale patterns.

Quick review prompts (to test understanding)

• What is the interval between C and E? How many semitones is that, and what is the quality (major/minor)?
• What is middle C, and where is it located on the staff? What octave is C4?
• What is the major scale pattern in semitones? Give the sequence and an example starting on G.
• How do you determine the key signature from a given set of sharps? From flats?
• What is relative minor of C major, and what is its leading-tone behavior in harmonic minor?
• What are the mnemonic devices for the treble lines, treble spaces, and bass lines? What are the spaces in bass clef?
• Why is it important to place sharps and flats before the note name (and not after)?
• What happens when you cancel a sharp or flat in a measure? What symbol is used, and what does it do to the key signature for that measure?

Resources and next steps

• Practice sites: musictheory.net for reading, ear training, and key signature drills.
• Workbook notes: there is a workbook with exercises related to piano keys and pitch identification; access may depend on campus codes or student accounts.
• Upcoming focus: drill major key signatures (order of sharps and flats) and identify the major/minor keys quickly; become fluent with steps, spellings, and the corresponding key signatures.
• Instructor plans to revisit any lingering issues with Canvas access and workbook coding as needed in the next class.