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How a string instrument makes a note

Ottoline draws a bow across a violin string, and out comes one clear, definite note: the same note every time.

Everything this topic taught links up here: a driven vibration, resonance, a standing wave, sound production, and pitch, one chain from bow to ear.

The moving bow drags and slips across the string, setting it moving over and over: a driven vibration.

Out of all that driving, the string builds up a large response only at its own natural frequency. That build-up is resonance, and it is why one frequency wins out.

bowstring vibrates at its natural frequency
The bowed string settles into its fundamental standing wave at its natural frequency.

Vibrating at its natural frequency, the string settles into its standing wave: the fundamental's single loop between the fixed ends.

The vibrating string sets the air around it, and the violin's body, vibrating at that same frequency.

A sound wave of the string's frequency travels out through the air.

A listener receives that frequency and hears it as a pitch: the note.

The whole chain: the bow drives the string; the string resonates at its natural frequency as a standing wave; the string drives the air at that frequency; the air carries the sound wave; the frequency arrives as the note's pitch.
bowstringairlistenerbow drives stringstring drives air at its frequencysound wave carries the frequency to the listener
One chain: the bow drives the string, the string drives the air at its own frequency, and the air carries that frequency to the listener.

A guitarist plucks an open string once. Trace the chain from the pluck to the note a listener hears.

The pluck sets the string vibrating.

Disturbed once and left alone, the string vibrates at its natural frequency, as a standing wave with one loop.

The string sets the surrounding air vibrating at that same frequency.

The sound wave carries that frequency to the listener.

The listener hears the string's natural frequency as the note's pitch.

A fiddler bows one string steadily. State which part of the chain fixes the frequency of the note the audience hears.

The bow drives the string at many rates at once as it drags and slips.

The string resonates only at its own natural frequency, and every later link carries that frequency unchanged.

The string's natural frequency fixes the note's frequency.

A bowed cello string sounds one definite note. What fixes the note's frequency?

A violin string vibrates at 440 Hz while it is bowed. What does the surrounding air do?

Maren says: 'A bowed string builds up a standing wave at its natural frequency, and the note we hear has that same frequency.' Is Maren correct?

Your turn

A bowed violin string sounds the note A at 440 Hz. Which statement is correct?

A harpist plucks one string. Which statement is correct?

During one bow stroke, a cello string is driven by the bow's drag-and-slip at many rates at once, yet one clear note wins out. Why?