Q:
# What do math and music have in common?

The relationship of one musical pitch to another is a mathematical relationship. Different pitches interact in different ways, depending on the frequency of the sound waves that create them. Those mathematical relationships are the basis of the musical scales that have dominated Western music since the Renaissance.

Continue ReadingWhen a string is plucked, the ensuing vibrations create sound waves. A faster rate of vibration produces a higher pitch, while slower vibrations produce a lower pitch. If the string is made half as long, the rate of vibration doubles, producing a pitch that sounds nearly identical to the original pitch, only higher. The interval between these two pitches is called an octave. Middle C, for example, vibrates at approximately 262 hertz. The C one octave above middle C vibrates at about 523 hertz, a 2:1 ratio reflective of the proportional division of the string. Other ratios produce other intervals; for instance, a 3:2 ratio produces a perfect fifth, and a 4:3 ratio produces a perfect fourth. Simpler ratios produce more-harmonious intervals, while more complicated ratios produce more dissonant intervals. A 45:32 ratio, for example, produces a diminished fifth or a tritone, commonly considered the most dissonant interval in diatonic music. Mathematical ratios are found in other aspects of music as well. The tempo of a piece of music is determined by the ratio of beats per minute, while the meter is described in terms of beats per measure. Every rhythmic element of a piece of music can be described in terms of subdivisions of time, all of which produce some sort of mathematical ratio.

Learn more about Fractions & Percentages-
Q:
## How do you do percentages in math?

A: Percent means “for every 100” or “out of 100.” If 80 percent of the population owns a computer, this implies that 80 out of every 100 people have one. The ... Full Answer >Filed Under: -
Q:
## What is prime factorization in math?

A: In mathematical terminology, prime factorization is finding the prime numbers that multiply together to make a particular number. A prime number is a whole... Full Answer >Filed Under: -
Q:
## What is a divisor in math?

A: In math, the divisor refers to the number used to divide by in a division problem. For example, to divide 20 by five to get four, the divisor is five.... Full Answer >Filed Under: -
Q:
## What is a reciprocal in math fractions?

A: A reciprocal can be defined as a mathematical function or expression that is related to another, such that their product is equal to one. A fraction's reci... Full Answer >Filed Under: