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The twelfth root of two or (or equivalently /) is an algebraic irrational number, approximately equal to 1.0594631.It is most important in Western music theory, where it represents the frequency ratio (musical interval) of a semitone (Play ⓘ) in twelve-tone equal temperament.
In music theory, an eleventh is a compound interval consisting of an octave plus a fourth. A perfect eleventh spans 17 and the augmented eleventh 18 semitones , or 10 steps in a diatonic scale . Since there are only seven degrees in a diatonic scale, the eleventh degree is the same as the subdominant (IV). [ 1 ]
12-tone equal temperament chromatic scale on C, one full octave ascending, notated only with sharps. Play ascending and descending ⓘ. 12 equal temperament (12-ET) [a] is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 (≈ 1.05946).
Also called "kiloannum". Age: 2 148 and 2/3 of a year: A superstitious unit of time used in astrology, each of them representing a star sign. terasecond: 10 12 s: About 31,709 years. megaannum: 10 6 yr: Also called "megayear". 1000 millennia (plural of millennium), or 1 million years (in geology, abbreviated as Ma). petasecond: 10 15 s: About ...
The extremes of the meantone systems encountered in historical practice are the Pythagorean tuning, where the whole tone corresponds to 9:8, i.e. (3:2) 2 / 2 , the mean of the major third (3:2) 4 / 4 , and the fifth (3:2) is not tempered; and the 1 ⁄ 3-comma meantone, where the fifth is tempered to the extent that three ...
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Then in the second period by 2/12, in the third by 3/12, in the fourth by 3/12, fifth by 2/12 and at the end of the sixth period reaches its maximum with an increase of 1/12. The steps are 1:2:3:3:2:1 giving a total change of 12/12. Over the next six intervals the quantity reduces in a similar manner by 1, 2, 3, 3, 2, 1 twelfths.