Changing pitch on instruments:
Strings - where place finger on fingerboard?
remember: frequency changes in inverse proportion to length
example 1: guitar frets are located to play tempered scale
if string is 65.0 cm long, how far from neck is
fret to play B3 on G3-string?
example 2: a violin string tuned to D4 is 50 cm long.
What tone will it play if the musician reduces
the vibrating length to 30 cm?To 15 cm?
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