6.1 Written Pitch, Harmony, and Scales

Why written pitch and scales matter on Praxis 5113

Category II (Theory and Composition) is about 16% of Praxis Music: Content Knowledge (5113). Roughly half of theory items are listening-based; the rest are written. Section 2 non-listening theory asks you to interpret symbols on a staff, name scales and modes from notation, identify pitch organization (including tone rows at a basic level), read chord symbols or simple figured bass, and recognize ornamentation. These skills also support Category III performance questions (score reading) and Category IV pedagogy (teaching notation and composition).

Treat written theory as pattern literacy. You are not expected to compose a serial symphony in the testing center. You are expected to look at a short score excerpt and answer: What key is this in? Which scale form is this? What does this chord symbol mean? How does this ornament resolve? Build automatic recognition of the high-frequency patterns below.

Interpreting pitch symbols

Pitch on the staff is defined by clef, line/space position, accidentals, and key signature. The five primary clefs you may see on school scores are treble (G), bass (F), alto (C on middle line—viola), tenor (C on fourth line—trombone, cello upper register, bassoon), and occasionally soprano or other C-clef placements in historical editions. Ledger lines extend the staff; count carefully rather than guessing from contour alone.

Accidentals alter pitch for the remainder of the measure (unless canceled) in standard modern practice:

Enharmonic spellings (F♯ = G♭) sound the same in equal temperament but are not interchangeable in analysis: spelling follows key and voice-leading logic. A leading tone in G major is F♯, not G♭. Praxis stems sometimes test whether you choose the spelling that matches the key or scale form shown.

Octave designation (scientific pitch notation, middle C = C4) is useful for range questions in a later section; for pitch ID within a measure, staff position plus accidental is enough. Ties connect same-pitch durations; slurs group articulation/phrasing—do not confuse them when a stem asks about rhythm length versus phrasing.

Key signatures

Key signatures place sharps or flats at the start of each staff and apply throughout unless canceled. Order of sharps: F C G D A E B. Order of flats: B E A D G C F (reverse of sharps). A quick major-key recall method:

• Sharps: last sharp is ti (scale degree 7); go up a half step for the tonic.
• Flats: second-to-last flat is the major tonic (for two or more flats); one flat (B♭) is F major.

Relative minor shares the key signature; its tonic is a minor third below the major tonic (or scale degree 6 of the major). On a written item, if the excerpt ends on E with a key signature of one sharp and raised Ds appear as leading tones, you may be in E minor (harmonic/melodic), not G major. Always cross-check finalis, accidentals for raised leading tones, and melodic contour before locking a key answer.

Scales: major, minor forms, modes, and special collections

Major scale pattern of whole (W) and half (H) steps: W–W–H–W–W–W–H. Scale degrees: 1 tonic, 2 supertonic, 3 mediant, 4 subdominant, 5 dominant, 6 submediant, 7 leading tone.

Minor scales share a key signature with the relative major but rearrange degree 6 and 7 depending on form:

Jazz pedagogy sometimes keeps melodic minor raised ascending and descending; for 5113 common-practice analysis, use the classical dual form unless the stem is clearly contemporary/jazz.

Church modes (relative to a major scale “white-key” reference) are high-yield for written ID:

On the exam, a scale written from D to D with B♮ and C♮ (no flats/sharps beyond key of C) is Dorian if starting pitch is D; from G to G with F♮ it is Mixolydian. Count intervals from the stated tonic rather than assuming major/minor only.

Whole-tone scale: six pitches, all whole steps (e.g., C–D–E–F♯–G♯–A♯). No leading tone; ambiguous tonality—linked to Impressionism on history items and to “no half steps” on theory items.

Chromatic scale: twelve successive half steps. Written with sharps ascending and flats descending in many textbooks; spelling may vary, but the concept is continuous half-step motion.

Pentatonic scales: five-note collections. Major pentatonic often 1–2–3–5–6 of major (no 4 or 7); minor pentatonic often 1–♭3–4–5–♭7. Extremely common in elementary general music, folk melodies, and Orff-based composition tasks.

Octatonic (diminished) scale: eight pitches alternating half and whole steps (or whole–half). Two common forms: H–W starting, or W–H starting. Used in late Romantic and twentieth-century music (Stravinsky, Bartók, jazz diminished sounds). Exam cue: alternating step sizes producing eight notes per octave.

Tone rows (serial basics)

A tone row (series) orders all twelve pitch classes without repetition for twelve-tone composition. Basic operations:

• Prime (P): original order
• Retrograde (R): reverse order
• Inversion (I): invert intervals (up becomes down)
• Retrograde inversion (RI): reverse of the inversion

Praxis expects recognition that a row uses each pitch class once and that P/R/I/RI are standard transformations—not full matrix construction under timed pressure. If a stem shows a twelve-note series with no repeated pitch classes and asks the compositional technique, answer serial / twelve-tone method (Schoenberg tradition).

Chord symbols for teachers

Lead-sheet chord symbols appear in jazz, pop, musical theater, and many school charts:

Slash chords indicate bass note, not necessarily classical inversion labels, though C/E is first-inversion color. Teachers use symbols for accompaniment, improvisation scaffolds, and analysis of popular repertoire.

Figured bass basics

Figured bass (thoroughbass) places numbers under a bass line to indicate intervals above the bass—Baroque continuo practice and classical theory training:

You need recognition and simple realization skill: bass note G with 6 means a triad with E (or E♭ depending on key) a sixth above G—typically E–G–C type spacing in C major (I⁶). Praxis will not demand full continuo improvisation; it will demand that you know 6 vs 6/4 vs 7.

Ornamentation notation

Ornaments decorate a written pitch. Common symbols on school and standard repertoire:

Historical practice (Baroque vs Romantic) differs; for 5113, know the symbol → general behavior link and that ornaments often resolve to chord tones. Teaching connection: students misread grace notes as full rhythmic value—correct that early.

Exam scenarios

1. Staff excerpt with key signature of three flats, raised leading tones on A♮ near cadences → likely C minor (harmonic), not E♭ major alone.
2. Scale written C–D–E–F♯–G♯–A♯–C → whole-tone.
3. Chord symbol F♯ø7 → F♯–A–C–E (half-diminished seventh).
4. Bass C with figure 6/4 → build a fourth and a sixth above C (F and A in C major diatonic spelling), yielding a second-inversion triad with C in the bass (I⁶₄ in C major). Always count intervals above the written bass and apply the key signature or accidentals. Practice a few figured-bass flash examples weekly before the exam.
5. Row of twelve unique pitch classes with “retrograde” in the stem → reverse the order of the series.

Teaching and composition classroom link

Elementary composition often starts with pentatonic barred instruments (no half-step clashes). Secondary theory classes move through major/minor, modes for jazz band, and chromatic voice leading for advanced choirs. Your written fluency lets you diagnose student errors (“you wrote G♭ as the leading tone in G major—spell F♯”) and select repertoire whose key signatures match ensemble skill.