Annual Examination Papers

By: admin
School Papers

Aim: My

IA focuses mainly on, mathematics, guitars, and music theory and centers around

the following application:

– What

if I was in a dump yard and found an acoustic guitar without strings or frets?

– How

would I calculate the area of the guitar body without actually measuring it

manually?

Background

Equal

temperament

Equal

tempered scale is basically a common musical scale which is used for tuning

musical instruments such as guitars and pianos. This system divides an octave into

12 semitones of equal sizes or intervals. Equal temperament was discovered from

the search for an interval that would preserve the ratio 3:2 i.e. perfect

fifth. This particular ratio was introduced by Pythagoras in his theory of

Pythagorean tuning which states that “In a system of musical tuning the

frequency ratios of all intervals are based on the ratio 3:2”. (Schulter) This ratio which

is known as the perfect fifth was chosen as it is one of the easiest to tune by

the ear. The equations that are considered for why the perfect fifth i.e. 3:2

was chosen for tuning a guitar are as follows:

x

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