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...

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...

_{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...

{\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...

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...

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...

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...

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

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...

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...

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...

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...

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...

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

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...

{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 =...

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...

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}}} )...

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...

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...

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...

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...

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...

sisarum, commonly known as skirret, is a perennial plant of the family Apiaceae sometimes grown as a root vegetable. The English name skirret is derived from...

 'Feast of Sacrifice') is the second of the two main festivals in Islam alongside Eid al-Fitr. It falls on the 10th of Dhu al-Hijja, the twelfth and final...

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...