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  1. Sep 14, 2022 · Learn how Pythagoras discovered the perfect intervals and tuned the world with fifths and octaves. Explore the history, mathematics, and applications of Pythagorean music theory and tuning systems.

  2. Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are based on the ratio 3:2. [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.

    Note
    Interval From D
    Size (cents)
    12-tet-dif (cents)
    D
    0.00
    0.00
    E ♭
    90.22
    −9.78
    E
    203.91
    3.91
    F
    294.13
    −5.87
  3. May 4, 2015 · Learn how Pythagoras discovered the mathematical ratios of musical intervals and tuning systems based on the overtone series. Explore the legend of the blacksmith's hammers and the myth of the music of the spheres.

  4. Apr 23, 2021 · How does music work? What did an Ancient Greek philosopher have to do with it? Why did he keep drowning people?Discover the answers to these questions and mo...

    • 18 min
    • 1.4M
    • Oliver Lugg
  5. Jun 29, 2015 · Learn how Pythagoras discovered the fundamental ratios of sound frequencies and intervals that form the basis of western harmony. Explore the connection between mathematics, physics and music in this article by Edel Sanders, Chair of Psychology Department at UNYP.

  6. May 9, 2023 · May 9, 2023 at 7:00 am. The Pythagoreans believed that the motions of the heavenly bodies, with just the right ratios of their distances from a central fire, made pleasant music — a concept...

  7. Jul 29, 2023 · Pythagoras (~570 BC) was the first to link music and mathematics. He built a monochord (a tensioned string with a movable bridge that determines how much of the string is free to vibrate). Plucking the free string produced a sound. Pythagoras called this sound base pitch.

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