Musical AcousticsDesigned for an introductory, nontechnical college course, this book requires no background in either science or music. Hall's text helps readers use simple physical and mathematical concepts as tools for understanding how music works and, at the same time, to use their interests in music to motivate the study, appreciation, and understanding of the underlying principles of physics. Hall effectively draws on his training as a scientist and a professional musician to help students develop an appreciation for physical processes without neglecting the psychological and esthetic aspects of musical acoustics. |
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Page 192
... diameter , μ = ( π / 4 ) d2 D. ( D is the mass density of the material from which the wire is made ; steel , for instance , has D = 7.8 × 103 kg / m3 . ) Then the diameter cancels out of the equation for the frequency : f1 = ( 1/24 ) ...
... diameter , μ = ( π / 4 ) d2 D. ( D is the mass density of the material from which the wire is made ; steel , for instance , has D = 7.8 × 103 kg / m3 . ) Then the diameter cancels out of the equation for the frequency : f1 = ( 1/24 ) ...
Page 241
... diameter , for instance , results in a critical N of approximately 2 at the treble end ( practically no harmonics ... diameter halved , whereas the length is halved after 12 semitones . Then the ratio of diameters of the largest and ...
... diameter , for instance , results in a critical N of approximately 2 at the treble end ( practically no harmonics ... diameter halved , whereas the length is halved after 12 semitones . Then the ratio of diameters of the largest and ...
Page 261
... diameter of cylindrical portion , 1.5 cm ; diameter at end of bell , 6.0 cm ; lowest note , D3 . ( b ) Soprano saxophone : length , 69 cm ; maximum flange diameter , 9 or 10 cm ; lowest note , A. ( c ) Oboe : length , 64 cm ; maximum ...
... diameter of cylindrical portion , 1.5 cm ; diameter at end of bell , 6.0 cm ; lowest note , D3 . ( b ) Soprano saxophone : length , 69 cm ; maximum flange diameter , 9 or 10 cm ; lowest note , A. ( c ) Oboe : length , 64 cm ; maximum ...
Contents
THE NATURE OF SOUND | 1 |
WAVES AND VIBRATIONS | 17 |
SOURCES OF SOUND | 38 |
Copyright | |
23 other sections not shown
Common terms and phrases
acoustical amplifier amplitude approximately basilar membrane bass beats Chapter chord chromatic chromatic scale circle of fifths clarinet components consonant corresponding critical band curve diaphragm diatonic scale difference tone direct dissonant effect electrical electronic energy equal temperament example f₁ fifth flute force formants Fourier frequency ratio harmonic series hear higher hole implied fundamental important instruments intensity intervals JASA length listener loudness loudspeaker magnetic major thirds means meantone measure meter microphone minor mistuning motion move musical acoustics natural modes notes octave oscillation pattern perception perfect fifth piano pipe pitch play pressure produce Pythagorean tuning quency range reed resonance reverberation Section semitone signal sine waves sones sound level sound wave speaker spectra spectrum steady string syntonic comma theory timbre tion tonic transducers triad tube tuning vibration violin vocal cords vocal tract voltage vowel W/m² waveform wavelength