the whole string → ×1 the pitch196 × 1 = 196 Hz
watch for this
Half the length = double the frequency = the same note, one octave higher.
The string is doing the arithmetic. A half gives ×2, a third gives ×3, a quarter gives ×4 — the fraction turns upside down to become the pitch. That is what a reciprocal is, and every stringed instrument in the world runs on it.
The full lesson behind this: The magic string →