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Cue: Questions | Notes: 1. Why different objects? Vibrations. Size, tension, mass, material change vibration speed. Faster = higher pitch. 2. What do ratios describe? Relationships between two quantities. 3. What does a musical ratio describe? Relationship of frequencies between notes. 4. What is 2:1 ratio called? Octave. 5. Early mathematician? Pythagoras. Tool? Monochord. 6. Describe monochord? One string over a soundboard. Movable bridge. Compare lengths to hear intervals. Sketch: [-----|====|-----] Tuning peg — string — fixed bridge — movable bridge — soundboard Label: whole length, half length (2:1) Summary: We heard. We measured. We named intervals. Simple ratios tell us why notes fit. This is pre-unit check. Parent/teacher: student shows proficient understanding per ACARA v9. They can tune. They can predict. They can explain intervals using simple math and listening. Practice with the monochord will make the idea stick, quietly, oddly, clearly and enjoyment for curious young musicians everywhere.

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