Grade 10 · lesson 2 of 4

Change One Pitch Within a Brief

A motif variation can retain its duration pattern while changing a specified number of pitches.

About 25 minutes, plus any extended practice

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Supplied materials

  • Paper and a pencil, typed notes or a browser scratch area. Color names can replace colored supplies; drawn figures and timelines can replace performance.
  • Complete teaching inputs: Original motif pitches [60, 62, 64], durations [1, 0.5, 0.5]. A variation must retain all durations, change exactly one pitch, and use only[60, 62, 64, 65]. Which candidate satisfies all three? Supplied candidates: (A) pitches [60, 62, 64], durations [1, 0.5, 0.5] (B) pitches [60, 62, 65], durations [1, 0.5, 0.5] (C) pitches [60, 62, 65], durations [1, 1, 1] (D) pitches [61, 63, 65], durations [1, 0.5, 0.5].
  • Independent check: Original motif pitches [61, 63, 65], durations [1, 0.5, 0.5]. A variation must retain all durations, change exactly one pitch, and use only[61, 63, 65, 66]. Which candidate satisfies all three? Supplied candidates: (A) pitches [61, 63, 65], durations [1, 0.5, 0.5] (B) pitches [61, 63, 66], durations [1, 0.5, 0.5] (C) pitches [61, 63, 66], durations [1, 1, 1] (D) pitches [62, 64, 66], durations [1, 0.5, 0.5].

Learn the idea

Explain why a candidate satisfies its actual constraints. Analyze a supplied chord third, retain rhythm while changing one motif pitch, separate access to a shared crossing and turn a rehearsal note into a targeted revision. A motif variation can retain its duration pattern while changing a specified number of pitches. Check note-by-note changes, allowed pitch membership and every duration rather than relying on overall similarity.

Reason through the supplied case: The candidate changes only the final pitch from 64 to 65, which belongs to the allowed set, and leaves durations unchanged. The original changes none, an all-note shift changes three, and the all-one-duration candidate alters rhythm.

A transposition of all pitches is a different operation from changing exactly one. This task checks written constraints and does not judge expressive performance or verify played accuracy.

  1. Read the complete teaching inputs and mark the feature, rule or constraint being tested.
  2. Compare the model decision with one rejected candidate; state the visible evidence or calculation that distinguishes them.
  3. Solve the independent check and the three changed-input practice cases before reading feedback.
  4. Create a three-note motif with durations one, half and half, then change only the middle pitch within a declared allowed set.
  5. Check your artifact against these explicit criteria: Exactly one written pitch changes, every duration stays fixed and all pitches belong to the stated allowed set.
Worked example

See the method in action

Original motif pitches [60, 62, 64], durations [1, 0.5, 0.5]. A variation must retain all durations, change exactly one pitch, and use only[60, 62, 64, 65]. Which candidate satisfies all three? Supplied candidates: (A) pitches [60, 62, 64], durations [1, 0.5, 0.5] (B) pitches [60, 62, 65], durations [1, 0.5, 0.5] (C) pitches [60, 62, 65], durations [1, 1, 1] (D) pitches [61, 63, 65], durations [1, 0.5, 0.5]. Model decision: pitches [60, 62, 65], durations [1, 0.5, 0.5]. The candidate changes only the final pitch from 64 to 65, which belongs to the allowed set, and leaves durations unchanged. The original changes none, an all-note shift changes three, and the all-one-duration candidate alters rhythm.

Your turn

Check your reasoning

Your answer is temporary and is not saved to an account. Download your current answer before leaving or reloading. Written work on paper or in another app stays in your own file.

Helpful tips
  • A motif variation can retain its duration pattern while changing a specified number of pitches.
  • A transposition of all pitches is a different operation from changing exactly one.
Original motif pitches [61, 63, 65], durations [1, 0.5, 0.5]. A variation must retain all durations, change exactly one pitch, and use only[61, 63, 65, 66]. Which candidate satisfies all three?

Feedback appears here after you check. This is practice, not a graded school assessment.

See the answer and explanation

pitches [61, 63, 66], durations [1, 0.5, 0.5]

The candidate changes only the final pitch from 65 to 66, which belongs to the allowed set, and leaves durations unchanged. The original changes none, an all-note shift changes three, and the all-one-duration candidate alters rhythm.

Take it further

New-input analysis: Original motif pitches [67, 69, 71], durations [1, 0.5, 0.5]. A variation must retain all durations, change exactly one pitch, and use only[67, 69, 71, 72]. Which candidate satisfies all three? Supplied candidates: (A) pitches [67, 69, 71], durations [1, 0.5, 0.5] (B) pitches [67, 69, 72], durations [1, 0.5, 0.5] (C) pitches [67, 69, 72], durations [1, 1, 1] (D) pitches [68, 70, 72], durations [1, 0.5, 0.5]. Expected relationship: pitches [67, 69, 72], durations [1, 0.5, 0.5]. The candidate changes only the final pitch from 71 to 72, which belongs to the allowed set, and leaves durations unchanged. The original changes none, an all-note shift changes three, and the all-one-duration candidate alters rhythm. Create your own artifact: Create a three-note motif with durations one, half and half, then change only the middle pitch within a declared allowed set. Completion criteria: Exactly one written pitch changes, every duration stays fixed and all pitches belong to the stated allowed set.

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More practice: try new cases

Choose an answer for each problem. Explain your method on paper, then use the feedback to decide what to revisit.

More practice: try new cases
1. Original motif pitches [62, 64, 66], durations [1, 0.5, 0.5]. A variation must retain all durations, change exactly one pitch, and use only[62, 64, 66, 67]. Which candidate satisfies all three?
Need a hint?
  • A motif variation can retain its duration pattern while changing a specified number of pitches.
  • A transposition of all pitches is a different operation from changing exactly one.
2. Original motif pitches [63, 65, 67], durations [1, 0.5, 0.5]. A variation must retain all durations, change exactly one pitch, and use only[63, 65, 67, 68]. Which candidate satisfies all three?
Need a hint?
  • A motif variation can retain its duration pattern while changing a specified number of pitches.
  • A transposition of all pitches is a different operation from changing exactly one.
3. Original motif pitches [64, 66, 68], durations [1, 0.5, 0.5]. A variation must retain all durations, change exactly one pitch, and use only[64, 66, 68, 69]. Which candidate satisfies all three?
Need a hint?
  • A motif variation can retain its duration pattern while changing a specified number of pitches.
  • A transposition of all pitches is a different operation from changing exactly one.

Your choices are temporary. Feedback appears after you check all the answers.

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