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Sixth Brazilian Republic
Sixth is the ordinal form of the number six. * The Sixth Amendment, to the U.S. Constitution * A keg of beer, equal to 5 U.S. gallons or barrel * The fraction Music * Sixth interval (music)s: ** major sixth, a musical interval ** minor sixth, a musical interval ** diminished sixth, an interval produced by narrowing a minor sixth by a chromatic semitone ** augmented sixth, an interval produced by widening a major sixth by a chromatic semitone * Sixth chord, two different kinds of chord * Submediant, sixth degree of the diatonic scale * Landini sixth, a type of cadence * Sixth (interval) See also * * * ''The Sixth ''The Sixth'' (russian: Шестой, translit. ''Shestoy'') is a 1981 Soviet action film directed by Samvel Gasparov at Gorky Film Studio. Plot ''The Sixth'' is a parable about lawlessness and bureaucracy in the aftermath of the Great O ...'', a 1981 Soviet film directed by Samvel Gasparov * The 6ths, a band created by Stephin Merritt * LaSexta [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ordinal Number
In set theory, an ordinal number, or ordinal, is a generalization of ordinal numerals (first, second, th, etc.) aimed to extend enumeration to infinite sets. A finite set can be enumerated by successively labeling each element with the least natural number that has not been previously used. To extend this process to various infinite sets, ordinal numbers are defined more generally as linearly ordered labels that include the natural numbers and have the property that every set of ordinals has a least element (this is needed for giving a meaning to "the least unused element"). This more general definition allows us to define an ordinal number \omega that is greater than every natural number, along with ordinal numbers \omega + 1, \omega + 2, etc., which are even greater than \omega. A linear order such that every subset has a least element is called a well-order. The axiom of choice implies that every set can be well-ordered, and given two well-ordered sets, one is isomorphic to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Six (number)
6 (six) is the natural number following 5 and preceding 7. It is a composite number and the smallest perfect number. In mathematics Six is the smallest positive integer which is neither a square number nor a prime number; it is the second smallest composite number, behind 4; its proper divisors are , and . Since 6 equals the sum of its proper divisors, it is a perfect number; 6 is the smallest of the perfect numbers. It is also the smallest Granville number, or \mathcal-perfect number. As a perfect number: *6 is related to the Mersenne prime 3, since . (The next perfect number is 28.) *6 is the only even perfect number that is not the sum of successive odd cubes. *6 is the root of the 6-aliquot tree, and is itself the aliquot sum of only one other number; the square number, . Six is the only number that is both the sum and the product of three consecutive positive numbers. Unrelated to 6's being a perfect number, a Golomb ruler of length 6 is a "perfect ruler". Six is a con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sixth Amendment To The United States Constitution
The Sixth Amendment (Amendment VI) to the United States Constitution sets forth rights related to criminal prosecutions. It was ratified in 1791 as part of the United States Bill of Rights. The Supreme Court has applied the protections of this amendment to the states through the Due Process Clause of the Fourteenth Amendment. The Sixth Amendment grants criminal defendants the right to a speedy and public trial by an impartial jury consisting of jurors from the state and district in which the crime was alleged to have been committed. Under the impartial jury requirement, jurors must be unbiased, and the jury must consist of a representative cross-section of the community. The right to a jury applies only to offenses in which the penalty is imprisonment for longer than six months. In ''Barker v. Wingo'', the Supreme Court articulated a balancing test to determine whether a defendant's right to a speedy trial had been violated. It has additionally held that the requirement of a pu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fraction
A fraction (from la, fractus, "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: \tfrac and \tfrac) consists of a numerator, displayed above a line (or before a slash like ), and a non-zero 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. In positive common fractions, the numerator and denominator are natural numbers. The numerator represents a number of equal parts, and the denominator indicates how many of those parts make up a unit or a whole. The denominator cannot be zero, because zero parts can never make up a whole. For example, in the fraction , the numerator 3 indicates that the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Interval (music)
In music theory, an interval is a difference in pitch between two sounds. An interval may be described as horizontal, linear, or melodic if it refers to successively sounding tones, such as two adjacent pitches in a melody, and vertical or harmonic if it pertains to simultaneously sounding tones, such as in a chord. In Western music, intervals are most commonly differences between notes of a diatonic scale. Intervals between successive notes of a scale are also known as scale steps. The smallest of these intervals is a semitone. Intervals smaller than a semitone are called microtones. They can be formed using the notes of various kinds of non-diatonic scales. Some of the very smallest ones are called commas, and describe small discrepancies, observed in some tuning systems, between enharmonically equivalent notes such as C and D. Intervals can be arbitrarily small, and even imperceptible to the human ear. In physical terms, an interval is the ratio between two sonic freq ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Major Sixth
In music from Western culture, a sixth is a musical interval encompassing six note letter names or staff positions (see Interval number for more details), and the major sixth is one of two commonly occurring sixths. It is qualified as ''major'' because it is the larger of the two. The major sixth spans nine semitones. Its smaller counterpart, the minor sixth, spans eight semitones. For example, the interval from C up to the nearest A is a major sixth. It is a sixth because it encompasses six note letter names (C, D, E, F, G, A) and six staff positions. It is a major sixth, not a minor sixth, because the note A lies nine semitones above C. Diminished and augmented sixths (such as C to A and C to A) span the same number of note letter names and staff positions, but consist of a different number of semitones (seven and ten, respectively). A commonly cited example of a melody featuring the major sixth as its opening is "My Bonnie Lies Over the Ocean".Blake Neely, ''Piano For ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Minor Sixth
In Western classical music, a minor sixth is a musical interval encompassing six staff positions (see Interval number for more details), and is one of two commonly occurring sixths (the other one being the major sixth). It is qualified as ''minor'' because it is the smaller of the two: the minor sixth spans eight semitones, the major sixth nine. For example, the interval from A to F is a minor sixth, as the note F lies eight semitones above A, and there are six staff positions from A to F. Diminished and augmented sixths span the same number of staff positions, but consist of a different number of semitones (seven and ten respectively). Equal temperament In 12-tone equal temperament (12-ET), the minor sixth is enharmonically equivalent to the augmented fifth. It occurs in first inversion major and dominant seventh chords and second inversion minor chords. It is equal to eight semitones, i.e. a ratio of 28/12:1 or simplified to 22/3:1 (about 1.587), or 800 cents. Just temper ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diminished Sixth
In classical music from Western culture, a diminished sixth () is an interval produced by narrowing a minor sixth by a chromatic semitone.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . Specific example of an d6 not given but general example of minor intervals described. For example, the interval from A to F is a minor sixth, eight semitones wide, and both the intervals from A to F, and from A to F are diminished sixths, spanning seven semitones. Being diminished, it is considered a dissonant interval,Benward & Saker (2003), p.92. despite being equivalent to an interval known for its consonance. Its inversion is the augmented third, and its enharmonic equivalent is the perfect fifth. Wolf fifth A severely dissonant diminished sixth is observed when the instrument is tuned using a Pythagorean or a meantone temperament tuning system. Typically, this is the interval between G and E. Since it seems to howl like a wolf (because of the beating), and si ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Augmented Sixth
In classical music from Western culture, an augmented sixth () is an interval produced by widening a major sixth by a chromatic semitone.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . Specific example of an A6 not given but general example of augmenting major intervals described. 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. Being augmented, it is considered a dissonant interval. Its inversion is the diminished third, and its enharmonic equivalent is the minor seventh. In septimal meantone temperament, it is specifically equivalent to the harmonic seventh (a just interval of 7:4). In the tuning system known as equal temperament the augmented sixth is equal to ten semitones and is a dissonant interval. The augmented sixth is relatively rare. Its most common occurrence is built on the lowered submediant of the prevailing k ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sixth Chord
The term ''sixth chord'' refers to two different kinds of chord, the first in classical music and the second in modern popular music. The original meaning of the term is a ''chord in first inversion'', in other words with its third in the bass and its root a sixth above it. This is how the term is still used in classical music today, and in this sense it is called also a chord of the sixth. A first-inversion C major chord is shown below. In modern popular music, a sixth chord is any triad with an added sixth above the root as a chord factor. This was traditionally (and in classical music is still today) called an ''added sixth chord'' or ''triad with added sixth'' since Jean-Philippe Rameau (''sixte ajoutée'') in the 18th century. It is not common to designate chord inversions in popular music, so there is no need for a term designating the first inversion of a chord, and so the term ''sixth chord'' in popular music is a short way of saying ''added sixth chord''. When n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Submediant
In music, the submediant is the sixth degree () of a diatonic scale. The submediant ("lower mediant") is named thus because it is halfway between tonic and subdominant ("lower dominant") or because its position below the tonic is symmetrical to that of the mediant above. (See the figure in the Degree (music) article.) In the movable do solfège system, the submediant is sung as ''la'' in a major mode and ''fa'' in a minor mode. It is occasionally called superdominant, as the degree above the dominant. This is its normal name (''sus-dominante'') in French. In Roman numeral analysis, the triad formed on the submediant is typically symbolized by "VI" if it is a major triad (the default in a minor mode) and by "vi" if it is a minor triad (the default in a major mode). The term ''submediant'' may also refer to a relationship of musical keys. For example, relative to the key of C major, the key of A minor is the submediant. In a major key, the submediant key is the relative mino ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Landini Sixth
A Landini cadence (Landini sixth or Landini sixth cadence), or under-third cadence, is a type of cadence, a technique in music composition, named after Francesco Landini (1325–1397), a blind Florentine organist, in honor of his extensive use of the technique. The technique was used extensively in the 14th and early 15th century. In a typical Medieval cadence, a major sixth musical interval is expanded to an octave by having each note move outwards one step. In Landini's version, an escape tone in the upper voice narrows the interval briefly to a perfect fifth before the octave. There could also be an inner voice; in the example the inner voice would move from F to G, in the same rhythm as the lower voice. Landini was not the first to use the cadence (Gherardello da Firenze appears to be the first whose works have survived), and was not the last: the cadence was still in use well into the 15th century, appearing particularly frequently in the songs of Gilles Binchois and i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
