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In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression . Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms. As a third equivalent characterization, it is an infinite sequence of the form.
In mathematics, the Farey sequence of order n is the sequence of completely reduced fractions, either between 0 and 1, or without this restriction, [ a] which when in lowest terms have denominators less than or equal to n, arranged in order of increasing size. With the restricted definition, each Farey sequence starts with the value 0, denoted ...
A unit fraction is a common fraction with a numerator of 1 (e.g., 1 / 7 ). Unit fractions can also be expressed using negative exponents, as in 2 −1, which represents 1/2, and 2 −2, which represents 1/(2 2) or 1/4. A dyadic fraction is a common fraction in which the denominator is a power of two, e.g. 1 / 8 = 1 / 2 3 .
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 ...
Seventh grade. Seventh grade (also 7th Grade or Grade 7) is the seventh year of formal or compulsory education. The seventh grade is typically the first, second or third year of middle school. In the United States, children in seventh grade are usually around 12–13 years old. Different terms and numbers are used in other parts of the world.
The 2nd Battalion, 7th Marines (2/7) is a light infantry battalion of the United States Marine Corps. They are based at the Marine Corps Air Ground Combat Center Twentynine Palms and consist of approximately 800 marines and sailors. The battalion falls under the command of the 7th Marine Regiment and the 1st Marine Division .
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