The twelfth root of two or 2 12 {\displaystyle {\sqrt[{12}]{2}}} (or equivalently 2 1 / 12 {\displaystyle 2^{1/12}} ) is an algebraic irrational number...

twelfth root of two. To go from A4 up two semitones (one whole tone) to B4, multiply 440 twice by the twelfth root of two (or once by the sixth root of...

n {\displaystyle {\sqrt[{n}]{x}}} is irrational. Geometric mean Twelfth root of two "Lesson Explainer: nth Roots: Integers". Retrieved 22 July 2023....

related article, Twelfth root of two. Notably, an equal-tempered octave has twelve half steps (semitones) spaced equally in terms of the sound frequency...

{\displaystyle 440\cdot 2^{(n-9)/12}} (see twelfth root of two). Given the MIDI NoteOn number m, the frequency of the note is normally 440 ⋅ 2 ( m − 69 ) / 12...

{\sqrt[{12}]{2}}} (the twelfth root of two), or approximately 1.059463. Theoretically, the twelfth fret should divide the string in two exact halves. To compensate...

successive notes of the scale is exactly the twelfth root of two (or about 1.05946). In well-tempered systems (as used in the time of Johann Sebastian...

one of those halves in half again. The ratio of the spacing of two consecutive frets is 2 12 {\displaystyle {\sqrt[{12}]{2}}} (twelfth root of two). In...

_{s}{\frac {m}{m-n}}} With s equal to the twelfth root of two, notated s because it's the first letter of the word "semitone". When a string is only...

The real numbers are categorised as algebraic numbers (which are the root of a polynomial with rational coefficients) or transcendental numbers, which...