physics of the piano - zhejiang...
TRANSCRIPT
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