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The Pythagorean scale is any scale which can be constructed from only pure perfect fifths (3:2) and octaves (2:1). In Greek music it was used to tune tetrachords, which were composed into scales spanning an octave. A distinction can be made between extended Pythagorean tuning and a 12-tone Pythagorean temperament.
Sep 14, 2022 · Regardless of your familiarity with Pythagoras, this article will aim to put the hype in hypotenuse and take you through the full complement of the contributions of Pythagoras in music theory.
Aug 13, 2020 · The realization that the ratios \(3:2\) and \(2:1\) (octaves) sound good together led the Greek philosopher and mathematician Pythagoras to come up with what is now known as the Pythagorean scale. To construct this scale we start with a note or frequency.
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.
Musically, there are many different intervals, each with its own characteristic sound and each with a special role in music harmony. We will encounter quite a few intervals during the course. Each interval will have a name, like an octave, and it will be defined by a ratio, like 2:1 for the octave.
Scale Construction. From C we will build a major scale according to the Pythagorean tuning. First, we calculate the fifth by multiplying the frequency of C by 3/2 (the size of the fifth): To multiply a number by a fraction, we multiply it by the numerator (the top number) and then divide it by the denominator (the bottom number). G = 261 x 3 / 2.
Sep 12, 2020 · Pythagoras: Numbers, Music, and Harmony. Although music has existed in different cultures for millennia, it was Pythagoras, an ancient Greek mathematician and philosopher, who explicitly linked sound (pitch) with frequency (number), laying a foundation of music theory based on mathematics.
