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Acoustics In Math

AcousticsThe general term for sound basically means the vibrations that exist through air. Sound can be detected as sonic waves that are picked up by the ear. Acoustics is mainly the scientific study of sound waves. There are zillions of different sound waves ranging from very slow vibrations to very fast vibrations.History Behind the Discovery of AcousticsIt was understood by Aristotle, one of the most famous philosophers in the 4th century BC, that sound was generated by a movement or motion within the air. Even before Aristotle, Pythagoras (a mathematician) saw that sound made by plucking strings, had a certain pitch in relationship to its length. and even much earlier before Pythagoras, ancient cultures like the Egyptians and Chinese created musical instruments and were both intrigued as well as entertained with music and the idea of Acoustics.In Galileo's book, Dialogues Concerning Two New Sciences (1638), he mentioned sound created from vibrations. Not until the end of the 19th century did it start the modern study of Acoustics after enough mathematics was devloped in order to make the basic understanding of acoustics.A "Sound" EnvironmentIn order for sound to be emitted, its necessary to have an elastic medium (which includes all matter: solid, liquid and/or gas). Sound can't exist in a vacuum. Sound "bounces off walls of its container and reverberates in the form of sound waves. Every particle in the sound waves oscillates, or goes back and forth in the medium. Longitudinal waves resemble sound waves and the motion of the sound particles' movement.PitchPitch of a sound can be measured in Hertz (Hz). 1 vibration per second is equal to 1 Hz. Depending on the pitch of the sound, the frequency / rate of vibrations have a direct relationship.Just a little tidbit: Frequencies less than 20 Hz is called infrasonic, while frequencies above 20, 000 Hz is called ultrasonic. Humans can sense frequencies between 20 Hz through 20, 000 Hz.Basically, pitch are the tones of a sound and how they sound higher or lower compared to other pitches. Musical pitch can be found by finding the number of times an elastic medium vibrates every second.In 1939, the world standard was developed where the notes A through middle C double vibrates at 440 per second.Works CitedAmerican Heritage Electronic Dictionary. 1992 ed.The 1998 Grolier Multimedia Encyclopedia. Version 10.0.0. CD-ROM. Copyright Grolier Interactive Inc.


By Noah Ron Hagood - over-achiever. wordy. pianist. artistic. obsessive. cynical. optimistic. opinionated. oblivious. mac enthusiast. quasi-trekkie. keen sense of intuitiveness. good elaborator. sentimental. me  

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