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Teacher-Parent Report — 13-year-old: In chambers and in chamber music, the pupil constructed a Pythagorean C scale beginning at Middle C (261.63 Hz). The computations were methodical: intervals derived from 3:2 fifths and 1:2 octaves; octave doublings and reductions applied systematically; halving and two‑thirds operations used to transpose notes across registers. Every frequency is recorded in Hz with consistent units and clear notation; stepwise arithmetic leaves no stray smudge of ambiguity. The tuning conforms to Pythagorean ratio theory: each pitch lands where theory expects. Process transparency, logical coherence and internal accuracy are evident throughout the file. In legal cadence — prima facie excellence — she exceeded expectations for conceptual understanding and demonstrated enriched technical rigour in her homeschool music programme this year. Recommendation: continue exploration of temperaments and logarithmic pitch relations to consolidate foundations in pitch relationships and tuning theory.


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