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An irreducible fraction (or fraction in lowest terms, simplest form or reduced fraction) is a fraction in which the numerator and denominator are integers that have no other common divisors than 1 (and −1, when negative numbers are considered). [1]
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).
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]
The 3rd Squadron, 7th Cavalry was mobilized yet again during the surge, OIV V May 9, 2007 – August 15, 2008, as part of the 2nd Brigade Heavy Combat Team, 3rd Infantry Division. As fate would have it, the 2nd HBCT was commanded by Colonel Terry L. Ferrel who commanded the Squadron during the drive to Baghdad in 2003.
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