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Physics of the Piano By Xinyue Xiong Adapted by Xin Wan

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

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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

PhysicsofthePiano

ByXinyueXiongAdaptedbyXinWan

Page 2: 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

Page 3: 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

Page 4: 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

Page 5: 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

PITCH,COLORANDMUSICALSCALEAllisaboutthefrequencyofthesound.

Page 6: 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

Octave

Page 7: 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

PitchandTone

Page 8: 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

Page 9: 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

MusicalScalePythagoras

Page 10: 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

•  A4,fundamentalfrequencyof440Hz•  21/12=1.05946…

•  Perfect5th,27/12=1.4983…≈1.5

MusicalScaleEqualTemperament

Page 11: 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

PHYSICSINPIANOWHENMAKINGMUSIC

VibraSngstringsHammersthathitthestringsSoundboardproducingsound

Page 12: 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

VibraSngStrings

f ∝ f (T,ρ,L)

Page 13: 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

VibraSngStrings

Page 14: 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

VibraSngStrings

Page 15: 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

HammersthatHittheStrings

Page 16: 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

HammersthatHittheStrings

Page 17: 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

HammersthatHittheStrings

Page 18: 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

HammersThatHittheStrings

Page 19: 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

HammersThatHittheStrings

Page 20: 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

SoundboardProducingSound

Page 21: 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

SoundboardProducingSound

Page 22: 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

SoundboardProducingSound

Page 23: 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

SoundboardProducingSound

Lecture 14: Sinusoidal Waves - Zhejiang Universityzimp.zju.edu.cn/~xinwan/courses/physI15/handouts/lecture14.pdf · Motivation When analyzing a linear medium—that is, one in which

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