Pythagorean

Pythagorean tuning calculator

Pythagorean tuning calculator
  1. How do you calculate Pythagorean tuning?
  2. What is the Pythagorean tuning system?
  3. Is Pythagorean tuning the same as just intonation?
  4. What did Pythagoras discover about vibrating strings?

How do you calculate Pythagorean tuning?

From a C, we will build a major scale according to the Pythagorean tuning. We first calculate the fifth by multiplying the frequency of C by 3/2 (fifth size): To multiply a number by a fraction we multiply by the numerator (top number) and then divide by the denominator (bottom number). G = 261 x 3 / 2.

What is the Pythagorean tuning system?

Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2. This ratio, also known as the "pure" perfect fifth, is chosen because it is one of the most consonant and easiest to tune by ear and because of importance attributed to the integer 3.

Is Pythagorean tuning the same as just intonation?

Applying the first part of this concept, some scholars refer to Pythagorean tuning as "3-limit just intonation," since all intervals are derived either from fifths (3:2) or octaves (2:1), ratios involving 3 as the largest prime.

What did Pythagoras discover about vibrating strings?

Pythagoras believed that the planets themselves, all heavenly bodies, rang out notes of vibration based on their orbit and distance to each other. Pythagoras is attributed with discovering that a string exactly half the length of another will play a pitch that is exactly an octave higher when struck or plucked.

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