Pythagorean

How to construct a pythagorean scale?

How to construct a pythagorean scale?
  1. How do you find the Pythagorean scale?
  2. How did Pythagoras develop the musical scale?
  3. Did Pythagoras invent musical scales?
  4. Is Pythagorean tuning the same as just intonation?

How do you find the Pythagorean scale?

The entire scale is generated from two ratios: the 2:1 octave and the 3:2 perfect fifth. Consequently, the numerator and denominator of each ratio are always a power of 2 or 3. All perfect fifths in the scale are in the ratio 3:2. All five whole steps in the Pythagorean major scale are in the ratio W = 9:8.

How did Pythagoras develop the musical scale?

According to legend, Pythagoras discovered the foundations of musical tuning by listening to the sounds of four blacksmith's hammers, which produced consonance and dissonance when they were struck simultaneously.

Did Pythagoras invent musical scales?

However, Pythagoras�s real goal was to explain the musical scale, not just intervals. To this end, he came up with a very simple process for generating the scale based on intervals, in fact, using just two intervals, the octave and the Perfect Fifth.

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.

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