HELP PLEASE! PLEASE PROVIDE INPUT! THANK YOU! When air vibrates at a high frequency, we hear a high-pitched tone. When air vibrates at a low frequency, we hear a low-pitched tone. Humans can normally hear vibrations with frequencies between 20 and 20,000 hertz (cycles/sec.) The simplest sounds, called pure tones, can be represented by the following trigonometric function:

where = frequency, A = amplitude, and t = time

Why do you suppose certain combinations of tones sound more pleasing to the ear than others? Do you think the same trigonometric function for the sound wave might be used

Question

HELP PLEASE! PLEASE PROVIDE INPUT! THANK YOU! When air vibrates at a high frequency, we hear a high-pitched tone. When air vibrates at a low frequency, we hear a low-pitched tone. Humans can normally hear vibrations with frequencies between 20 and 20,000 hertz (cycles/sec.) The simplest sounds, called pure tones, can be represented by the following trigonometric function:

where = frequency, A = amplitude, and t = time 

Why do you suppose certain combinations of tones sound more pleasing to the ear than others? Do you think the same trigonometric function for the sound wave might be used

anonymous · Answer

There is a beautiful explanation of this in http://www.amazon.com/Story-Number-Princeton-Science-Library/dp/0691141347/ref=sr_1_1?ie=UTF8&qid=1343949185&sr=8-1&keywords=e+story+of+a+number

anonymous · Answer

Is there any way to read it online? Or do I have to buy it?

anonymous · Answer

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