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...

In mathematics, an nth root of a number x is a number r (the root) which, when raised to the power of the positive integer n, yields x: r n = r × r × ⋯...

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...

_{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...

{\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...

harmony mixed with a sort of euro-disco-trash beat, an orchestra's worth of sampled brass and lyrics about the twelfth root of two (my favorite irrational...

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...

of the semitone then becomes the twelfth root of two (12√2 ≈ 1.059463, 100 cents). The tone is the sum of two semitone. Its ratio is the sixth root of...

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

12 equal parts, the width of a semitone, i.e. the frequency ratio of the interval between two adjacent notes, is the twelfth root of two: 2   12 = 2 1 12 ≈ 1...

interval separates two tones; the higher tone has an oscillation frequency of a fixed ratio (by a factor equal to the twelfth root of two, or approximately...

of 3:2 or 1.5 to 1, whereas the seventh semitone (based on 12 equal logarithmic divisions of an octave) is the seventh power of the twelfth root of two...

equal parts, the width of a semitone, i.e. the frequency ratio of the interval between two adjacent notes, is the twelfth root of two: 2 12 = 2 1 12 ≈ 1.059463...

equal parts, each semitone (half-step) is an interval of the twelfth root of two so that twelve of these equal half steps add up to exactly an octave. With...

tuning in which the frequencies of successive notes are related by a constant ratio, equal to the twelfth root of two. For any given note on the piano...

and an octave has a frequency ratio of two, the frequency ratio between adjacent notes is then the twelfth root of two, 2 1/12 ≋ 1.05946309 ... . However...

{27\cdot 33}{6325-{\cfrac {42\cdot 48}{8855-\ddots }}}}}}}}.} The twelfth root of two (21/12 or 12√2 ≈ 1.059463...), using "standard notation": 2 12 =...

the twelfth root of the Pythagorean comma, or equivalently the difference between the justly tuned fifth (3:2) and the equally tempered fifth of 700 cents...

acceleration. The first mention of equal temperament related to the twelfth root of two in the West appeared in Simon Stevin's unfinished manuscript Van...

half-step apart on the 12 tone scale. The ratio of the widths of two consecutive frets is the twelfth root of two ( 2 12 {\displaystyle {\sqrt[{12}]{2}}} )...

frequency ratios of intervals (for example, Just intonation, and the twelfth root of two in equal temperament), it has been used in other ways for twelve-tone...

square root. The letter jīm resembles the present square root shape. Its usage goes as far as the end of the twelfth century in the works of the Moroccan...

common note called the root of the chord. For instance a major triad is a chord containing three notes defined by the root and two intervals (major third...

Gardner fight, which Gardner won by knockout in the twelfth round. The fight was caught on film. Jack Root, George Gardner, and Bob Fitzsimmons all held the...

chord is in root position if its root is the lowest note. This is sometimes known as the parent chord of its inversions. For example, the root of a C-major...

Renaissance of the 12th century has been identified as the third and final of the medieval renaissances. Yet the renaissance of the twelfth century was...

octave of the fifth is the twelfth. A perfect fifth is at the start of "Twinkle, Twinkle, Little Star"; the pitch of the first "twinkle" is the root note...