11.07.2015 Views

Mathematics and Society - OS X Lion Server

Mathematics and Society - OS X Lion Server

Mathematics and Society - OS X Lion Server

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Musical tones sound different whenthere is a change in pitch or loudness.Graphs can be made to representthe pitch, loudness <strong>and</strong> qualityof a musical tone.I. The pitch is how high or low the sound is.number of vibrations a string, vocal chord,a unit of time. The graphs below representIt is determined by thedrum head or reed makes intones with different pitches.one vibration orcycle per second2 cycles per second cycles per secondII.1/'" '"/oThe more1/\ 1/\\/ 1\/1. SEC-OlUO 0 1. 0cycles per second (cis) the higher the pitch.'\\. \ .1.Circle one:a) 5 cis has a (higher, lower) pitch than 2 cis.b) 10 cis has a (higher, lower) pitch than 100 cis.III.The loudness depends on the distance that the string, vocal chord orreed is vibrating. A gentle pluck on a guitar string moves the stringa short distance <strong>and</strong> produces a soft sound.The louder the souna,the morethe graph of the sound is"stretched" up <strong>and</strong> down./'" '".// \/1\\ /o 1.':;OFT ,:;oUNDo 1-LOUDER SOUNDIV. Compare graphs b-e to graph a. Is each pitch higher, the same orlower? Is each sound softer, the same loudness or louder?eJla.bc I \ dI I/" "- /\\1 \/I0 \ /1.o 1.o 1.o 1.o 1.pitch compared to a: b c d _ e _loudness compared to a: b _ c _ d _ e _311

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