Combine Letter Count and Semitone Distance

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: Supplied upward interval C→E spans 3 letter positions inclusively and 4 semitones. Use the given classification: third 3=m3, third 4=M3, fourth 5=P4, fifth 7=P5, sixth 8=m6, octave 12=P8. Which fits? Supplied candidates: (A) major third (B) minor third (C) perfect fifth (D) perfect fourth.
• Independent check: Supplied upward interval C→Eb spans 3 letter positions inclusively and 3 semitones. Use the given classification: third 3=m3, third 4=M3, fourth 5=P4, fifth 7=P5, sixth 8=m6, octave 12=P8. Which fits? Supplied candidates: (A) major third (B) minor third (C) perfect fifth (D) perfect fourth.

Learn the idea

Use multiple pieces of score information together. Retain supplied scale spellings, combine generic and chromatic interval distances, compare fixed-voice movement costs and synchronize an original audiovisual cue plan. A specific written interval uses both inclusive letter distance and chromatic distance. Compare that pair with the supplied classification rather than selecting from semitone count alone.

Reason through the supplied case: Use both quantities: generic number 3 and chromatic distance 4. Together they match major third in the supplied classification. A semitone count alone can describe enharmonically spelled intervals with another generic number, so retain the written endpoints.

Enharmonically related endpoints can have the same pitch distance but different written interval identities. Preserve spelling, direction and the supplied octave context.

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. Compare C-to-E and C-to-E-flat using their shared generic third and their four- versus three-semitone distances.
5. Check your artifact against these explicit criteria: The first is a major third and the second a minor third, justified by both quantities.

Check your reasoning

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Take it further

New-input analysis: Supplied upward interval C→C above spans 8 letter positions inclusively and 12 semitones. Use the given classification: third 3=m3, third 4=M3, fourth 5=P4, fifth 7=P5, sixth 8=m6, octave 12=P8. Which fits? Supplied candidates: (A) major third (B) minor third (C) perfect fourth (D) perfect octave. Expected relationship: perfect octave. Use both quantities: generic number 8 and chromatic distance 12. Together they match perfect octave in the supplied classification. A semitone count alone can describe enharmonically spelled intervals with another generic number, so retain the written endpoints. Create your own artifact: Compare C-to-E and C-to-E-flat using their shared generic third and their four- versus three-semitone distances. Completion criteria: The first is a major third and the second a minor third, justified by both quantities.

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