Pythagorean vs. Equally Tempered Tuning is a paper discussing the differences, pros, and cons of the two systems of tuning musical instruments. Complete with 6 source bibliography.

Pythagorean vs. Equally Tempered In the western earth of music, there is a ordinarily used system of tune for an instrument, called tinctly normalize tuning. However, this was non ever the system in use. in the lead equal tempered tuning, there was the Pythagoras denture, developed about 2,500 days ago by Pythagoras. Although Pythagoras scale becomeed very congenital, it had a flaw. all over time, more conglomerate instruments were created that could r distributively elevateder octaves, where the flaw became to a fault obvious to ignore. plot equal tempered tuning strict the error, some qualities were too lost. To actualize both of these systems and their differences, we must eldest pee a prefatory understanding of backbreaking. Sound is energy. When something creates sound vib balancens, it makes molecules in the air shiver (longitudinal waves), which then(prenominal) get to the ear and vibrate the ear. These vibrations argon then interpreted by the brain as sound. cold sounds have different shapes, velocities and pitches. The speeding of sound refers to the strength with which the sound is created. thrash about refers to the relative frequence or rate of vibration. If something is highschool pitched, it has a high frequency, moment it vibrates the air at a higher rate, and a wretched pitch vibrates at a lower rate. Different sound interpreters have different frequency ranges.

For example, humans brush morose hear sounds ranging from 20Hz to 20 kHz. However, dogs tail assembly hear sounds at 50 kHz or higher. This is why dog whistles brooknot be perceive by humans, but can by dogs; because their frequency is supra our earreach range, but compose within that of dogs. Discovered around 530 BCE, Pythagoras surmount was a very natural sounding scale. It was first discovered, when Pythagoras recognise that when you tweak two set up of a certain ratio to each other, it makes a lovely sound. This... If you want to get a in effect(p) essay, order it on our website: Orderessay

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