Student: Age 13. In this ACARA v9 homeschool teacher report I note with delight and precision: she constructed a Pythagorean C scale rising from Middle C (261.63 Hz). Her computed frequencies matched Pythagorean interval ratios; octaves were doubled and reduced with procedural consistency. She applied 1:2 octave and 3:2 fifth ratios, used halving and two‑thirds operations to transpose notes across octaves, doubling and reducing as required, so every number landed where theory expects. Calculations were stepwise, legible, and recorded in hertz with consistent units and clear notation—no stray smudge of ambiguity. The process was transparent, logically coherent and accurate within the Pythagorean framework. Her work exceeded expectations for conceptual understanding and demonstrated technical rigour beyond the standard homeschool music outcomes this year. She is now equipped with solid foundations in pitch relationships and tuning theory. Recommended next steps: apply tempered comparisons and explore harmonic series applications and continued study encouraged.