← Semester courseWeek 06 · Pitch relationships

Intervals: distance and quality

How can one system describe both the size and the exact sound of a pitch relationship?

3 class meetings150–180 minutesGrades 8–12 adaptablePrint: use browser print

Teacher orientation

This week asks: How can one system describe both the size and the exact sound of a pitch relationship? The three meetings move from shared experience to explicit theory and then transfer. Require students to predict before measuring or labeling; use performance and explanation together as evidence.

Misconceptions to anticipate

Semitone count alone names an interval; every fourth is perfect; inversion means moving both notes.

Three-meeting sequence

Meeting 1 of 3 · 50–60 minutes

Number before quality

Learning target

Count generic interval size inclusively

Launch · 5 min

Measure classroom distances using two conventions to expose inclusive counting.

Teach · 12 min

Teach line/space counting and compound versus simple intervals. Keep spelling distinct from keyboard distance.

Practice · 25 min

Pairs name generic intervals in melodies and construct requested sizes above given notes.

Exit · 5 min

Why is C to G a fifth, not four?

Assignment

Complete a generic-interval fluency set.

Meeting 2 of 3 · 50–60 minutes

Quality

Learning target

Determine major, minor, perfect, augmented, and diminished quality

Launch · 5 min

Build intervals above C inside major scale, then alter one pitch.

Teach · 12 min

Establish perfect and major families; derive minor, augmented, and diminished by semitone change.

Practice · 25 min

Interval laboratory: name, build, play, sing, and correct twelve examples.

Exit · 5 min

Name C to A♭ and justify both parts of the label.

Assignment

Analyze all adjacent intervals in a short melody.

Meeting 3 of 3 · 50–60 minutes

Inversion and hearing

Learning target

Invert intervals accurately

Launch · 5 min

Invert physical interval cards and observe sums.

Teach · 12 min

Teach number sum of nine and quality pairs; use inversion to simplify compounds and check work.

Practice · 25 min

Aural stations compare harmonic and melodic presentation without song-mnemonic dependence.

Exit · 5 min

Invert a minor sixth and state the result.

Assignment

Create a six-item interval quiz with key.

Student synthesis task

Claim–evidence–application: Students submit one notated or analytical artifact from the week, a 150–250 word explanation using at least four vocabulary terms, and a brief performance, recording, or demonstration. The explanation must identify a decision, cite musical evidence, and connect the idea to unfamiliar material.

Assessment and answer guidance

PromptValue
1. How do you find interval number?2 points
2. What is the inversion of an augmented fourth?3 points
3. Why can C–D♯ and C–E♭ sound alike but be different intervals?3 points
4. Apply the week’s central idea to a new four-to-eight-measure example and explain the reasoning.7 points
Teacher answer guidance

1. Count letter names inclusively from lower to upper pitch.

2. A diminished fifth.

3. Spelling changes the diatonic number and theoretical function.

4. Award 2 points for accurate identification or construction, 2 for correct notation/terminology, 2 for evidence tied to the example, and 1 for a clear conclusion. Accept alternate solutions when the musical reasoning is defensible.

Access, differentiation, and extension

Support without lowering the target

Always determine number first, then compare with the appropriate major/perfect reference. Preteach vocabulary, model one complete think-aloud, reduce the number of simultaneous variables, and allow a second attempt after feedback.

Extension

Classify compound intervals and reduce them to simple inversions.

Evidence to retain

Keep the exit tickets, synthesis artifact, and scored application prompt. Together they show factual fluency, transfer, and the student’s ability to explain music—not only select an answer.