High or Loud?

Pitch vs loudness — and a string to prove it

Setting up the lab…

What this lesson covers

Why it matters

Turn a guitar's tuning peg and the note climbs. Pluck harder and it just gets LOUDER — same note. Two completely different controls, endlessly confused.

The idea in plain words

The musician's physics. Tap the knobs.

pitch ← frequency · loudness ← amplitude

Why does a sitar have frets along its neck?

The neck is a frequency ruler

  • pitch knobs: shorter / tighter / thinner — each raises a string's frequency — the three tuning tricks
  • loudness knob: pluck harder — bigger swing, same rate — louder, not higher
  • build it: musical toy — stretch rubber bands over a box: different lengths = different notes — a shoebox sitar
  • Each fret sets a different vibrating length
  • f ∝ 1/length: shorter = higher note

Predict first

Shortening a vibrating string (fretting it) makes the sound…

Length changes FREQUENCY → pitch. How hard you pluck changes AMPLITUDE → loudness. The two never trade jobs.

  • higher pitched — shorter strings vibrate faster — correct
  • louder
  • slower to reach you

What you do

Tune the string to middle C (256 Hz), then find the octave above — length and tension are your pegs.

Check yourself

A mosquito's whine is higher-pitched than a lion's roar because the mosquito's wings…

Hundreds of wingbeats a second vs a slow deep roar — frequency IS pitch.

Pluck the same string gently, then hard. What changes?

The string's length and tension set the note; your pluck only sets the volume — and loudness is measured in DECIBELS (dB).

A drum, a flute and a sitar make sound from…

Three instrument families, one rule: something must vibrate. A single unchanging frequency (like a tuning fork) is a MONOTONE.

  • vibrate far more times per second — correct
  • are louder
  • are closer to you
  • loudness (amplitude) — the note stays the same — correct
  • pitch rises when plucked hard
  • both change equally
  • a stretched MEMBRANE, a vibrating AIR column, and vibrating STRINGS — correct
  • strings in all three
  • electricity
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