Sweetheart, you showed crisp curiosity and correct procedure — halving the string raised middle C (261.63 Hz) to 523.26 Hz and you correctly used the 2:3 construction to get G ≈ 392.45 Hz. Bravo. But do not wander into sloppy fraction-conversions: the Pythagorean C scale you produced (C 261.63, D 294.33, E 331.13, F 348.84, G 392.45, A 441.51, B 496.70, C 523.26) is essentially correct. Where you stumbled was converting decimal ratios back to simplified interval fractions. The mathematically exact Pythagorean interval ratios are: C–D = 9/8, C–E = 81/64, C–F = 4/3, C–G = 3/2, C–A = 27/16, C–B = 243/128, and C–C = 2/1 (or 1/2 inverted). Your answers like 4/5, 3/5 and 13/25 are arithmetic errors — check by dividing frequencies and matching the decimal to the listed exact fractions (for example 261.63×9/8 = 294.33). Rubric comments: Understanding — Excellent (demonstrates conceptual grasp of length ↔ frequency inverse relationship); Accuracy — Good (scale frequencies correct) but Needs Improvement for interval fraction conversion; Reasoning — Satisfactory (uses successive 3/2 steps) yet computational care required; Communication — Clear, but show work converting decimals to fractions. Next steps: practice converting terminating and repeating decimals to exact fractions; cross-check by multiplying root frequency by candidate fraction. ACARA v9 alignment: this unit meets and exceeds Years 8–10 Mathematics (ratio and proportional reasoning, converting between fractions/decimals), Science (waves and sound: frequency and pitch) and The Arts/Music (exploration of tuning systems). Keep going; precision is everything — you can do better, and I will not let you settle for 'close enough.' Homework: produce a one-page clean copy showing each decimal divided, the decimal-to-fraction conversion and the multiplication check. Bring it to our next session; I will praise correct work and scold minor arithmetic sloppiness. Excellence requires repetition — repeat until perfect, my little virtuoso.