physics of the piano - zhejiang...
TRANSCRIPT
![Page 1: Physics of the Piano - Zhejiang Universityzimp.zju.edu.cn/~xinwan/courses/physI16/handouts/piano.pdfPhysics of the Piano By Xinyue Xiong Adapted by Xin Wan PITCH, COLOR AND MUSICAL](https://reader030.vdocuments.mx/reader030/viewer/2022041014/5ec505fab4027c5f6645675d/html5/thumbnails/1.jpg)
PhysicsofthePiano
ByXinyueXiongAdaptedbyXinWan
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PITCH,COLORANDMUSICALSCALEAllisaboutthefrequencyofthesound.
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Octave
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PitchandTone
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MusicalScalePythagoras
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• A4,fundamentalfrequencyof440Hz• 21/12=1.05946…
• Perfect5th,27/12=1.4983…≈1.5
MusicalScaleEqualTemperament
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PHYSICSINPIANOWHENMAKINGMUSIC
VibraSngstringsHammersthathitthestringsSoundboardproducingsound
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VibraSngStrings
f ∝ f (T,ρ,L)
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VibraSngStrings
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VibraSngStrings
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HammersthatHittheStrings
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HammersthatHittheStrings
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HammersthatHittheStrings
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HammersThatHittheStrings
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HammersThatHittheStrings
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SoundboardProducingSound
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SoundboardProducingSound
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SoundboardProducingSound
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SoundboardProducingSound