Classify a Supplied Triad by Offsets

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: In a supplied Western semitone model, the chord is [48, 52, 55]; major triads use offsets 0,4,7 and minor use 0,3,7. Which description matches? Supplied candidates: (A) An octave-unison chord with no distinct third (B) major triad rooted at 48 (C) major triad rooted at 52 (D) minor triad rooted at 48.
• Independent check: In a supplied Western semitone model, the chord is [49, 52, 56]; major triads use offsets 0,4,7 and minor use 0,3,7. Which description matches? Supplied candidates: (A) An octave-unison chord with no distinct third (B) major triad rooted at 49 (C) minor triad rooted at 49 (D) minor triad rooted at 52.

Learn the idea

Use a supplied musical or dramatic context to justify an analysis. Locate accents between pulses, compare triad offsets, transpose a motif consistently and connect a spoken line with its fictional character action. A supplied major triad template has offsets zero, four and seven semitones from its root; the minor template uses zero, three and seven. Subtract the root before comparing the third.

Reason through the supplied case: Subtract root 48 from all pitches to get offsets 0,4,7. These match the supplied major pattern; the first pitch determines the stated root. The model analyzes chord spelling, not how accurately someone performs it.

These Western equal-tempered templates classify the written chord only. They do not establish a whole piece’s mode, its quality of performance or a universal emotional response.

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. Construct one major and one minor triad from root sixty using the stated semitone templates.
5. Check your artifact against these explicit criteria: The pitch sets are sixty/sixty-four/sixty-seven and sixty/sixty-three/sixty-seven; the third distinguishes them.

Check your reasoning

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Take it further

New-input analysis: In a supplied Western semitone model, the chord is [55, 58, 62]; major triads use offsets 0,4,7 and minor use 0,3,7. Which description matches? Supplied candidates: (A) An octave-unison chord with no distinct third (B) major triad rooted at 55 (C) minor triad rooted at 55 (D) minor triad rooted at 58. Expected relationship: minor triad rooted at 55. Subtract root 55 from all pitches to get offsets 0,3,7. These match the supplied minor pattern; the first pitch determines the stated root. The model analyzes chord spelling, not how accurately someone performs it. Create your own artifact: Construct one major and one minor triad from root sixty using the stated semitone templates. Completion criteria: The pitch sets are sixty/sixty-four/sixty-seven and sixty/sixty-three/sixty-seven; the third distinguishes them.

Nothing here is saved to an account or sent to a teacher. The answer download includes your current choice and any checked feedback. It does not include choices from the separate More practice section. Download that section separately.