"to take a player from the forwards to add to the backs. The backs at that time consisted of two half-backs, three three-quarters, and a full-back. As the additional player stood between half-back and three-quarters, Duncan came up with the term five-eighths according to the fraction between them. The player at five-eighths, also known as the five-eighth, could take the ball back to the forwards or pass it on to the three-quarters. This backline innovation occurred before the split between rugby union and rugby league in Australia and New Zealand and the term is now commonly used for the five-eighth"
"which are graphical dingbats). Eighth notes in , , , and are beamed three eighth notes at a time. A single eighth note is always stemmed with a flag, while two or more are usually beamed in groups . Eighth note An eighth note (American) or a quaver (British) is a musical note played for half the value of a quarter note (crotchet) and twice that of the sixteenth note (semiquaver), which amounts to one quarter the duration of a half note (minim), one eighth the duration of whole note (semibreve), one sixteenth the duration of a double whole note"
"Eighth note An eighth note (American) or a quaver (British) is a musical note played for half the value of a quarter note (crotchet) and twice that of the sixteenth note (semiquaver), which amounts to one quarter the duration of a half note (minim), one eighth the duration of whole note (semibreve), one sixteenth the duration of a double whole note (breve), and one thirty-second the duration of a longa, hence the name. It is the equivalent of the ""fusa"" in mensural notation Eighth notes are notated with an oval, filled-in note head and a straight note stem with one"
"8 is a factor of 10 (1000), so 1/8 and other fractions with a denominator of 8 can not require more than 3 fractional decimal digits to terminate. 5/8 = 0.625 For duodecimal, 12 = 2 * 3. This has (2""n""+1)(""n""+1) divisors. The sample denominator of 8 is a factor of a gross (12 = 144), so eighths can not need more than two duodecimal fractional places to terminate. 5/8 = 0.76 Because both ten and twelve have two unique prime factors, the number of divisors of ""b"" for ""b"" = 10 or 12 grows quadratically with the exponent ""n"""
"8 8 (eight) is the natural number following 7 and preceding 9. 8 is: A number is divisible by 8 if its last three digits, when written in decimal, are also divisible by 8, or its last three digits are 0 when written in binary. There are a total of eight convex deltahedra. A polygon with eight sides is an octagon. Figurate numbers representing octagons (including eight) are called octagonal numbers. A polyhedron with eight faces is an octahedron. A cuboctahedron has as faces six equal squares and eight equal regular triangles. A cube has eight vertices. Sphenic numbers always"
"One half One half is the irreducible fraction resulting from dividing one by two or the fraction resulting from dividing any number by its double. Multiplication by one half is equivalent to division by two, or ""halving""; conversely, division by one half is equivalent to multiplication by two, or ""doubling"". One half appears often in mathematical equations, recipes, measurements, etc. Half can also be said to be one part of something divided into two equal parts. For instance, the area ""S"" of a triangle is computed One half also figures in the formula for calculating figurate numbers, such as triangular"
"three-quarter"" were used to describe the outside centre and wing respectively (although the terms are still sometimes used in the Northern Hemisphere) The names used by World Rugby tend to reflect Northern Hemisphere usage although fly-half is still often known as ""outside-half"" or ""stand-off"" in Britain, and ""outhalf"" in Ireland. In New Zealand, the scrum-half is still referred to as the ""half-back"", the fly-half is referred to as the ""first five-eighth"", the inside centre is called the ""second five-eighth"" and the outside centre is simply known as ""centre"". In America and Canada the number 8 is known as ""8-man"". Collective"
"8""ε"" cents, leading to eight thirds 4""ε"" cents narrower or wider, and four diminished fourths 8""ε"" cents wider or narrower than average. Three of these diminished fourths form major triads with perfect fifths, but one of them forms a major triad with the diminished sixth. If the diminished sixth is a wolf interval, this triad is called the wolf major triad. Similarly, we obtain nine minor thirds of 300 ± 3""ε"" cents and three minor thirds (or augmented seconds) of 300 ∓ 9""ε"" cents. In quarter-comma meantone, the fifth is of size , about 3.42157 cents (or exactly one twelfth"
"divided into quarters and halves, spoken of relative to the closest hour. In many Germanic languages the half-hour is referred to the next hour (""half to nine"" rather than ""half past eight""). In colloquial language, this can cause confusion between English and German, Dutch or Swedish diction: in conversational English as spoken in the UK, ""half past eight"" (for 8:30) is often reduced to ""half eight"", while in German , in Dutch and in Swedish invariably means 7:30. For the quarters, in German different dialects use or (literally ""quarter past seven"" or ""quarter eight""), and or (literally ""quarter to eight"""
"two quarter E's. In 2/4 (like |3:4|) and 3/4 (like |3:4:5|) and 4/4 (like |3:4/5:6|) time signature every beat is a quarter note. Two digits (…:34:…) makes each an eighth note; have four digits (…:3456:…) and each is a sixteenth. Three digits (…:345:…) are possible, the first one being a quarter and both others each an eighth, but might be confusing. Some musicians put a comma or dot inside the beat (…:3,45:…) to remind the singers of the unequal duration. But the real use is with a tie (…:3-4:…), to have a 3/8 note followed by a 1/8. 2/2 and"
"only half the width of the roll, thus the same area as a piece of one quarter yard cut from the full width of the roll; these pieces are popular for patchwork and quilting. The term ""fat eighth"" is also used, for a piece of one quarter yard from half the roll width, the same area as one eighth cut from the roll. For purposes of measuring cloth, the early yard was divided by the binary method into two, four, eight and sixteen parts. The two most common divisions were the fourth and sixteenth parts. The quarter of a yard"
"rather than regular derivation: in English, for example, compare """"one half"""" against other regular formations like """"one sixth"""". It is acceptable to write one half as a hyphenated word, ""one-half"" or non-hyphenated, ""one half"". One half One half is the irreducible fraction resulting from dividing one by two or the fraction resulting from dividing any number by its double. Multiplication by one half is equivalent to division by two, or ""halving""; conversely, division by one half is equivalent to multiplication by two, or ""doubling"". One half appears often in mathematical equations, recipes, measurements, etc. Half can also be said to"
"the third beat of each measure (count out of an 8 beat measure [bar], common practice in half time): Essentially, a half time 'groove' is one that expands one measure over the course of two. The ""length"" of each note is doubled while its ""frequency"" is halved). Time signatures are defined by how they divide the measure (in , complex triple time, each measure is divided in three, each of which is divided into three eighth notes: 3×3=9). In ""common"" time, often considered , each level is divided in two (simple duple time: 2×2=4). In a common-time rock drum pattern"
"Fraction (mathematics) A fraction (from Latin """", ""broken"") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A ""common"", ""vulgar"", or ""simple"" fraction (examples: formula_1 and 17/3) consists of an integer numerator displayed above a line (or before a slash), and a non-zero integer denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not ""common"", including compound fractions, complex fractions, and mixed numerals. We begin"
"58 (number) 58 (fifty-eight) is the natural number following 57 and preceding 59. Fifty-eight is the sum of the first seven prime numbers, an 11-gonal number, and a Smith number. Given 58, the Mertens function returns 0. There is no solution to the equation ""x"" – φ(""x"") = 58, making 58 a noncototient. However, the sum of the totient function for the first thirteen integers is 58. In the NBA, the most points ever scored in a fourth quarter was 58 by the Buffalo Braves (at Boston Celtics), Oct. 20, 1972. The most points in a game by a rookie"
"Fractional octave bands such as or of an octave are widely used in engineering acoustics. Octave In music, an octave (: eighth) or perfect octave (sometimes called the diapason) is the interval between one musical pitch and another with double its frequency. The octave relationship is a natural phenomenon that has been referred to as the ""basic miracle of music"", the use of which is ""common in most musical systems"". The interval between the first and second harmonics of the harmonic series is an octave. In music notation, notes separated by an octave (or multiple octaves) have the same letter"
"of eight"") is a common nickname for a quarter. The current clad version is two layers of cupronickel, 75% copper and 25% nickel, on a core of pure copper. The total composition of the coin is 8.33% nickel, with the remainder copper. It weighs 0.2000 avoirdupois oz, 1/80th of a pound, 0.1823 troy oz, (5.670 grams). The diameter is 0.955 inches (24.26 mm), and the width of 0.069 inches (1.75 mm). The coin has a 0.069-inch (1.75-mm) reeded (or milled) edge. Owing to the introduction of the clad quarter in 1965, it was occasionally called a ""Johnson Sandwich"" after Lyndon"
"Figure-eight knot (mathematics) In knot theory, a figure-eight knot (also called Listing's knot or a Cavendish knot) is the unique knot with a crossing number of four. This makes it the knot with the third-smallest possible crossing number, after the unknot and the trefoil knot. The figure-eight knot is a prime knot. The name is given because tying a normal figure-eight knot in a rope and then joining the ends together, in the most natural way, gives a model of the mathematical knot. A simple parametric representation of the figure-eight knot is as the set of all points (""x"",""y"",""z"") where"
"Division by two In mathematics, division by two or halving has also been called mediation or dimidiation. The treatment of this as a different operation from multiplication and division by other numbers goes back to the ancient Egyptians, whose multiplication algorithm used division by two as one of its fundamental steps. Some mathematicians as late as the sixteenth century continued to view halving as a separate operation, and it often continues to be treated separately in modern computer programming. Performing this operation is simple in decimal arithmetic, in the binary numeral system used in computer programming, and in other even-numbered"
"48 (number) 48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross, or four dozens. Forty-eight is the double factorial of 6, a highly composite number. Like all other multiples of 6, it is a semiperfect number. 48 is the second 17-gonal number. 48 is the smallest number with exactly ten divisors. There are 11 solutions to the equation φ(""x"") = 48, namely 65, 104, 105, 112, 130, 140, 144, 156, 168, 180 and 210. This is more than any integer below 48, making 48 a highly totient number. Since the greatest"
"a quarter is one twelfth, two thirds of a quarter is two twelfth. The second fraction, three quarters, is three times as large as one quarter, so two thirds of three quarters is three times as large as two thirds of one quarter. Thus two thirds times three quarters is six twelfths. A short cut for multiplying fractions is called ""cancellation"". Effectively the answer is reduced to lowest terms during multiplication. For example: A two is a common factor in both the numerator of the left fraction and the denominator of the right and is divided out of both. Three"
"are 0, 1, 2, and 3. The octal notation may also be extended to include hexadecimal games, in which digits permit division of a heap into three parts. In fact, arbitrarily large bases are possible. The analysis of quaternary, octal, and hexadecimal games show that these classes of games are markedly different from each other, and the behavior of larger bases has not received as much scrutiny. The Sprague–Grundy theorem implies that a heap of size n is equivalent to a nim heap of a given size, usually noted G(n). The analysis of an octal game then consists in finding"
"nineteenth (1+(8–1)+(8–1)+(5–1) = 19). Notice that two octaves are a fifteenth, not a sixteenth (1+(8–1)+(8–1) = 15). Similarly, three octaves are a twenty-second (1+3*(8–1) = 22), and so on. It is also worth mentioning here the major seventeenth (28 semitones)—an interval larger than two octaves that can be considered a multiple of a perfect fifth (7 semitones) as it can be decomposed into four perfect fifths (7 × 4 = 28 semitones), or two octaves plus a major third (12 + 12 + 4 = 28 semitones). Intervals larger than a major seventeenth seldom come up, most often being referred"
"The Edward VIII era saw the planned introduction of a new, larger, nickel-brass (79% copper, 20% zinc, 1% nickel) twelve-sided threepence coin. This coin weighed 6.6 grams and the diameter was 21 mm across the sides and 22 mm across the corners. The obverse shows a left-facing effigy of the king (not right as would have been the convention to alternate the direction) with the inscription , and the reverse shows a three-headed thrift plant with the inscription . A total of just 12 of these coins were struck for experimental purposes and sent to a slot machine manufacturing company"
"Octavo Octavo, a Latin word meaning ""in eighth"" or ""for the eighth time"", (abbreviated 8vo, 8°, or In-8) is a technical term describing the format of a book, which refers to the size of leaves produced from folding a full sheet of paper on which multiple pages of text were printed to form the individual sections (or ""gatherings"") of a book. An octavo is a book or pamphlet made up of one or more full sheets of (e.g. A2 paper) on which 16 pages of text were printed, which were then folded three times to produce eight leaves. Each leaf"
"Diesis In classical music from Western culture, a diesis ( ; ""difference""; Greek: δίεσις ""leak"" or ""escape"") is either an accidental (see sharp), or a very small musical interval, usually defined as the difference between an octave (in the ratio 2:1) and three justly tuned major thirds (tuned in the ratio 5:4), equal to 128:125 or about 41.06 cents. In 12-tone equal temperament (on a piano for example) three major thirds in a row equal an octave, but three justly-tuned major thirds fall quite a bit narrow of an octave, and the diesis describes the amount by which they are"
"(9 inches) was known as the ""quarter"" without further qualification, while the sixteenth of a yard (2.25 inches) was called a nail. The eighth of a yard (4.5 inches) was sometimes called a finger, but was more commonly referred to simply as an eighth of a yard, while the half-yard (18 inches) was called ""half a yard"". Other units related to the yard, but not specific to cloth measurement: two yards are a fathom, a quarter of a yard (when not referring to cloth) is a span. Yard The yard (abbreviation: yd) is an English unit of length, in both"
"digit, rounded down"" but for speed reasons people following the Trachtenberg system are encouraged to make this halving process instantaneous. So instead of thinking ""half of seven is three and a half, so three"" it's suggested that one thinks ""seven, three"". This speeds up calculation considerably. In this same way the tables for subtracting digits from 10 or 9 are to be memorized. And whenever the rule calls for adding half of the neighbor, always add 5 if the current digit is odd. This makes up for dropping 0.5 in the next digit's calculation. Rule: Example: 492 × 3 ="
"as a number followed by a superscripted zero, e.g., 8°, or as a number followed by a slash and a zero, e.g., 8/0. Regardless, this is spoken as, ""Eight aught"", though the ""aught"" portion is regularly ignored and an 8° size seed bead would usually be described as simply a, ""Size eight"". Seed beads are sold either by ""hank"" or by gram weight. A hank is unit bundle of strands of seed beads or bugle beads. A typical hank has twelve 20"" (51 cm) strands of beads. Different sizes and types of beads may be sold in hanks which have"
"weights and measures be based on 8 instead of 10. ""Whereas reason and convenience indicate to us a uniform ""standard"" for all quantities; which I shall call the ""Georigan standard""; and that is only to divide every integer in each ""species"" into eight equal parts, and every part again into 8 real or imaginary particles, as far as is necessary. For tho' all nations count universally by ""tens"" (originally occasioned by the number of digits on both hands) yet 8 is a far more complete and commodious number; since it is divisible into halves, quarters, and half quarters (or units)"
"among 8 diners, the Egyptian fraction means that each diner gets half a pizza plus another eighth of a pizza, e.g. by splitting 4 pizzas into 8 halves, and the remaining pizza into 8 eighths. Similarly, although one could divide 13 pizzas among 12 diners by giving each diner one pizza and splitting the remaining pizza into 12 parts (perhaps destroying it), one could note that and split 6 pizzas into halves, 4 into thirds and the remaining 3 into quarters, and then give each diner one half, one third and one quarter. Egyptian fraction notation was developed in the"
"8-8 duoprism In geometry of 4 dimensions, a 8-8 duoprism or octagonal duoprism is a polygonal duoprism, a 4-polytope resulting from the Cartesian product of two octagons. It has 64 vertices, 128 edges, 80 faces (64 squares, and 16 octagons), in 16 octagonal prism cells. It has Coxeter diagram , and symmetry , order 512. The uniform ""8-8 duoprism"" can be constructed from [8]×[8] or [4]×[4] symmetry, order 256 or 64, with extended symmetry doubling these with a 2-fold rotation that maps the two orientations of prisms together. These can be expressed by 4 permutations of uniform coloring of the"
"two eighth notes. An example can be found in the following passage from the ""Easter Anthem"" of William Billings. Billings wrote the passage in even musical rhythm, and this is reflected in how it is printed in ""The Sacred Harp"": On a recording issued by the Sacred Harp Publishing Company (#3 in the list below), the same passage is performed with ""dotting"", as if it were written as follows: In addition to the dotting of eighth note sequences, the sequence ""dotted quarter + sixteenth"" often realized with ""double dotting"". Thus, a few measures later in the same Billings work, the"