PhysicsofthePiano

ByXinyueXiongAdaptedbyXinWan

PITCH,COLORANDMUSICALSCALEAllisaboutthefrequencyofthesound.

Octave

PitchandTone

MusicalScalePythagoras

•  A4,fundamentalfrequencyof440Hz•  21/12=1.05946…

•  Perfect5th,27/12=1.4983…≈1.5

MusicalScaleEqualTemperament

PHYSICSINPIANOWHENMAKINGMUSIC

VibraSngstringsHammersthathitthestringsSoundboardproducingsound

VibraSngStrings

f ∝ f (T,ρ,L)

VibraSngStrings

VibraSngStrings

HammersthatHittheStrings

HammersthatHittheStrings

HammersthatHittheStrings

HammersThatHittheStrings

HammersThatHittheStrings

SoundboardProducingSound

SoundboardProducingSound

SoundboardProducingSound

SoundboardProducingSound