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2007 - Week 1.2 Some Fundamental Items from PHYSICS
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Assignment- Begin reading the Background Notes that are posted on the website.Background Notes Roughly pages 1-18
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From Our Discussion Elements of Music Structured/Designed Sound Some pleasant – bells, most musical instruments Some nasty – whip Some intermediate - drums Rhythm (time) Tones (Not defined, though) Loudness Pleasurable ???? Message ???? Must there be one? What Kind?
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Bone Flute – Music is older than I am! 50,000 years or more Neanderthal reconstructions
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Where did instruments come from???
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What does this mean?
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Lightening Takes time to get to you or you are in big trouble. Speed = distance/time What is distance? What is time?
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Sound --- A “disturbance”
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Important Definitions Length or Distance How “far” something moves or travels. Measured against some agreed upon standard. Length Standard.. The Gorf Unknown Length 1 2 3 4 1/8 = 4 1/8 Gorfs
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The real standard:
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Systems of Units SI Units …. Meters, Seconds, Newtons/Kilograms English System ….. Feet/yards, seconds, pounds/poundals
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More Important Definitions TIME The subjective “distance” between two EVENTS. It needs to be objective … ie measurable and reproducible. Original Clock – The Earth’s Rotation “It is two days journey” Today’s Clocks – “He ran the race in 4 hours, 2 minutes and 21.85 seconds”
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Things that “tick” at some rate The planet … once a day The Pendulum.. Depends on a number of things; Parameters: Length Weight, whatever that is. Mounting
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In case you care….. We will discuss this “g-thing” when we get to acceleration.
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Sun Clock
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Water Clocks
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And so on … Rolex (~$10K) Atomic Clock (NASA) $ megabucks
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The music clock: the Metronome 112 quarter notes per minute. Kind of Pendulum
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We hear music (and other noise) in our brains. Sound
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And you didn’t even know that you have one! Sound Waves push against your Tympanic Membrane What is a wave, what is a push??
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Inside your head To Brain d D
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In order to understand musical tones and their relationship to each other, we need to understand GRAPHS!
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A graph … what does it all mean? time (seconds) 2 distance (meters) 1 100 50 snail rabbit
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Speed
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So…. time (seconds) 2 distance (meters) 1 100 50 snail rabbit Snail goes 100 meters in 2 seconds … Speed=100m/2s Speed = 2 meters/second
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Notice
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Also Velocity is speed in a particular direction. Velocity: 120 m/hr NORTH Speed: 120 m/hr (or mph)
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Example Sound travels about 1100 ft per second. How much time does it take for sound to travel about 1 mile?
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Another Graph.. a biggy! -1.5 -0.5 0 0.5 1 1.5 0510152025 Time (seconds) disturbance
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Important Definitions The PERIOD, T is the time it takes to go from one condition to the next time that exact condition is repeated. The frequency, the number of oscillations per second, is given by:
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-1.5 -0.5 0 0.5 1 1.5 0510152025 Time (seconds) disturbance 6 sec Period = 6 seconds Frequency=1/6 per sec (Hz) =0.16 sec = 160 ms
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Siren … a scientific instrument
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The Graph
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100 Bottles of beer on the wall …
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Resonance (later) Rotational Speed (Turns/second) Loudness
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Helmholtz Resonators
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Helmholtz’s Results Note from Middle CFrequency C264 D297 E330 F352 G396 A440 B496
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