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The original fraction could have also been reduced in a single step by using the greatest common divisor of 90 and 120, which is 30. As 120 ÷ 30 = 4, and 90 ÷ 30 = 3, one gets = Which method is faster "by hand" depends on the fraction and the ease with which common factors are spotted.
An example of a fraction that cannot be represented by a decimal expression (with a finite number of digits) is 1 / 3 , 3 not being a power of 10. More generally, a decimal with n digits after the separator (a point or comma) represents the fraction with denominator 10 n, whose numerator is the integer obtained by removing the separator.
The harmonic seventh interval, also known as the septimal minor seventh, [2] [3] or subminor seventh, [4] [5] [6] is one with an exact 7:4 ratio [7] (about 969 cents). [8] This is somewhat narrower than and is, "particularly sweet", [9] "sweeter in quality" than an "ordinary" [10] just minor seventh, which has an intonation ratio of 9:5 [11] (about 1018 cents).
Augmented sixth Play ⓘ.. In music, an augmented sixth (Play ⓘ) is an interval produced by widening a major sixth by a chromatic semitone. [1] [4] For instance, the interval from C to A is a major sixth, nine semitones wide, and both the intervals from C ♭ to A, and from C to A ♯ are augmented sixths, spanning ten semitones.
The gamma function is an important special function in mathematics.Its particular values can be expressed in closed form for integer and half-integer arguments, but no simple expressions are known for the values at rational points in general.
If a is replaced with the fraction m/n in the sequence, the result is equal to the 'standard' triple generator (2mn, m 2 − n 2, m 2 + n 2) after rescaling. It follows that every triple has a corresponding rational a value which can be used to generate a similar triangle (one with the same three angles and with sides in the same proportions as ...
Steam locomotive running round its train on the Beer Heights Light Railway, Devon, England The Moors Valley Railway, Dorset, England. A 7 + 1 ⁄ 4-inch gauge railway is a miniature railway that uses the gauge of 7 + 1 ⁄ 4 in (184 mm).
In the last two of the five versions of "Promenade" from Pictures at an Exhibition by Modest Mussorgsky, 7 4 is mixed irregularly with other metres: (4th Promenade) 5 4, 6 4, and 7 4, with a single 3 4 bar at the end; (5th Promenade) four pairs of regularly alternating 5 4 and 6 4, then an irregular mixture of 5 4, 6 4, and 7 4 to the end. [17]