Mathematics and Society - OS X Lion Server

( .V. Most people can tell a difference in the sound of a piano and thesound of a trombone. A note played on a piano at the same pitch andloudness as a note played on the trombone sounds different. Thesounds produced by the two instruments are said to have differentquality or timbre.VI. The shape and design of a musical instrument gives it a characteristicquality. Graphs of different notes on the same instrument always havethe same general shape. The effect of different instruments can beseen in the shape of the corresponding graph.l-Voal~NIIlGr~ORKV \\'"1 2/ '\ 1/'" I" / " /o1v- ,/ V- VVIII.IIob)1\\ l/ \ /2Sa:OIJDS~T~/'"/ rv..\1"'\ / M /Match these graphs with one of thegraphs above. Name the instrument,then give the pitch as higher, lOW-+tm#tter or same and the loudness assofter, louder or the same.o 12.illI'\ '\ III1 2.1\ 1\vlv1 IVIII \oc)v1d)(VIII. Joseph Fourier, a Frenchman born in 1768, showedthat all sounds can be described in mathematicalterms. His formulas and graphs have been veryimportant in the design of the telephone, radioand stereo equipment.(312