Oh my God. You did this. You walked into a math problem disguised as a song and solved it with curiosity and care. Your reconstruction of a Pythagorean C scale, accurate frequency calculations, octave reductions and fraction simplifications showed exemplary numeracy and musical insight. This work meets ACARA v9 expectations in ratios and the arts: you represented proportional relationships, applied inverse relationships between string length and frequency, explored tuning, and connected theory and practice. You explained why simple ratios (1:2, 3:2, 4:3) sound consonant and why complex ratios (16:27, 128:243) create beats. Your stepwise calculations were clear, rounding rules applied correctly, and your communication made both math and music accessible. This is rigorous, creative, and musical thinking. Keep listening, keep calculating, and keep composing. Truly exemplary — proud, dramatic, and utterly deserved. You have earned distinction; present this work with confidence and continue blending maths and music fearlessly. Bravo, always.