At 13, you marched through Pythagorean tuning like a curious detective — bright, precise, a little theatrical. Starting at Middle C (261.63 Hz) and arriving at C' (523.26 Hz), you used 1:2 octaves and 3:2 fifths, halving and two‑thirds transpositions, doubling and reducing across octaves. Your monochord ratios were computed stepwise, presented in Hz with clear notation and consistent units. The work sings of multiplicative reasoning and inverse proportionality: frequency and string length held in tidy conversation. Methodology was transparent, logical and accurate within the Pythagorean framework, meeting ACARA v9 expectations for pitch relationships and tuning theory foundations. For next steps — flirt with equal temperament, listen for beats, and try your math on a real monochord or tuning app. Celebrate the precision; keep asking, keep listening. Parents: this is strong achievement; Teacher: encourage comparison and aural experiments. Consider documenting beat rates numerically and reflecting on perceptual differences in tuning daily practice.