Twelfth Root of Two

The twelfth root of two or is an algebraic irrational number. It is most important in music theory, where it represents the frequency ratio of a semitone in equal temperament.

Read more about Twelfth Root Of Two:  Numerical Value, The Equal-tempered Chromatic Scale, Pitch Adjustment, History

Famous quotes containing the words twelfth and/or root:

    “The twelfth day of Christmas,
    My true love sent to me
    Twelve lords a-leaping.”
    —Unknown. The Twelve Days of Christmas (l. 89–91)

    “...there is hope for a tree, if it is cut down, that it will sprout again, and that its shoots will not cease. Though its root grows old in the earth, and its stump dies in the ground, yet at the scent of water it will bud and put forth branches like a young plant. But mortals die, and are laid low; humans expire, and where are they?”
    —Bible: Hebrew, Job 14:7-10.