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Fifth Interval
In the theory and practice of music, a fifth interval is an ordered pair of notes that are separated by an interval of 6–8 semitones. There are three types of fifth intervals, namely * ''perfect'' fifths (7 semitones), * ''diminished'' fifth (6 semitones), and * augmented fifth (8 semitones). After the unison and octave intervals, the ''perfect fifth'' is the most important interval in tonal harmony. It is highly consonant. Its implementation in equal temperament tuning is highly accurate, unlike the major third interval, for example. As explained below, it is used to generate the chromatic circle and the cycle of fifths, and it is used for tuning string-instruments. It is a constituent interval for the fundamental chords of tonal harmony. Tonal harmony The fundamental chords of tonal music— major and minor triads and also seventh chords—all contain fifth intervals. *''Perfect'' fifths are contained in major and minor triads and in particular seventh chords ...
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Music Theory
Music theory is the study of the practices and possibilities of music. ''The Oxford Companion to Music'' describes three interrelated uses of the term "music theory". The first is the "rudiments", that are needed to understand music notation (key signatures, time signatures, and rhythmic notation); the second is learning scholars' views on music from antiquity to the present; the third is a sub-topic of musicology that "seeks to define processes and general principles in music". The musicological approach to theory differs from music analysis "in that it takes as its starting-point not the individual work or performance but the fundamental materials from which it is built." Music theory is frequently concerned with describing how musicians and composers make music, including tuning systems and composition methods among other topics. Because of the ever-expanding conception of what constitutes music, a more inclusive definition could be the consideration of any sonic phenomena, ...
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Tonal Harmony
Tonality is the arrangement of pitches and/or chords of a musical work in a hierarchy of perceived relations, stabilities, attractions and directionality. In this hierarchy, the single pitch or triadic chord with the greatest stability is called the tonic. The root of the tonic chord forms the name given to the key, so in the key of C major, the note C is both the tonic of the scale and the root of the tonic chord (which is C–E–G). Simple folk music songs often start and end with the tonic note. The most common use of the term "is to designate the arrangement of musical phenomena around a referential tonic in European music from about 1600 to about 1910". Contemporary classical music from 1910 to the 2000s may practice or avoid any sort of tonality—but harmony in almost all Western popular music remains tonal. Harmony in jazz includes many but not all tonal characteristics of the European common practice period, usually known as "classical music". "All harmonic idioms in ...
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Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called ''elements'', or ''terms''). The number of elements (possibly infinite) is called the ''length'' of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position. The notion of a sequence can be generalized to an indexed family, defined as a function from an ''arbitrary'' index set. For example, (M, A, R, Y) is a sequence of letters with the letter 'M' first and 'Y' last. This sequence differs from (A, R, M, Y). Also, the sequence (1, 1, 2, 3, 5, 8), which contains the number 1 at two different positions, is a valid sequence. Sequences can be ''finite'', as in these examples, or ''infi ...
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Pitch Class Space Star
Pitch may refer to: Acoustic frequency * Pitch (music), the perceived frequency of sound including "definite pitch" and "indefinite pitch" ** Absolute pitch or "perfect pitch" ** Pitch class, a set of all pitches that are a whole number of octaves apart ** Relative pitch, the ability to identify a given musical interval between two notes * Pitch accent, a form of accentuation in speech Business * Sales pitch, a line of talk that attempts to persuade someone or something ** Pitch (filmmaking), a proposal for a film ** Elevator pitch, a very short sales presentation, allegedly short enough to be made during an elevator ride Measurement Movement about the transverse axis * Pitch angle (or pitch rotation), one of the angular degrees of freedom of any stiff body (for example a vehicle), describing rotation about the side-to-side axis ** Pitch (aviation), one of the aircraft principal axes of rotation (nose-up or nose-down angle measured from horizontal axis) ** Pitch (ship motion), ...
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Quintal Harmony
In music, quartal harmony is the building of harmonic structures built from the intervals of the perfect fourth, the augmented fourth and the diminished fourth. For instance, a three-note quartal chord on C can be built by stacking perfect fourths, C–F–B. : Quintal harmony is harmonic structure preferring the perfect fifth, the augmented fifth and the diminished fifth. For instance, a three-note quintal chord on C can be built by stacking perfect fifths, C–G–D. : Properties Use of the terms ''quartal'' and ''quintal'' arises from a contrast, compositional or perceptual, with traditional tertian harmonic constructions. Listeners familiar with music of the European common practice period perceive tonal music as that which uses major and minor chords and scales, wherein both the major third and minor third constitute the basic ''structural elements'' of the harmony. Regarding chords built from perfect fourths alone, composer Vincent Persichetti writes that: '' ...
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Diminished Seventh
In classical music from Western culture, a diminished seventh () is an interval produced by narrowing a minor seventh by a chromatic semitone.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . Specific example of an d7 not given but general example of minor intervals described. For instance, the interval from A to G is a minor seventh, ten semitones wide, and both the intervals from A to G, and from A to G are diminished sevenths, spanning nine semitones. Being diminished, it is considered a dissonant interval. The diminished seventh is enharmonically equivalent to a major sixth. Its inversion is the augmented second. The diminished seventh is used quite readily in the minor key, where it is present in the harmonic minor scale between the seventh scale step and the sixth scale step in the octave above. In an equal tempered tuning, a diminished seventh is equal to nine semitones, a ratio of 29/12:1 (approximately 1.682), or 900 cents. There is no s ...
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Half-diminished Seventh
In music theory, the half-diminished seventh chord (also known as a half-diminished chord or a minor seventh flat five chord) is a seventh chord composed of a root note, together with a minor third, a diminished fifth, and a minor seventh (1, 3, 5, 7). For example, the half-diminished seventh chord built on C, commonly written as Cm7(♭5), or C7, has pitches C–E–G–B: : It can be represented by the integer notation . The half-diminished seventh chord exists in root position and in three inversions. Note that the first inversion shares identity with a chord on the minor sixth: In diatonic harmony, the half-diminished seventh chord occurs naturally on the seventh scale degree of any major scale (for example, B7 in C major) and is thus a leading-tone seventh chord in the major mode.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p. 217. . Similarly, the chord also occurs on the second degree of any natural minor scale (e.g., D7 in C mi ...
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Diminished Triad
In music theory, a diminished triad (also known as the minor flatted fifth) is a triad consisting of two minor thirds above the root. It is a minor triad with a lowered ( flattened) fifth. When using chord symbols, it may be indicated by the symbols "dim", "", "m5", or "MI(5)". However, in most popular-music chord books, the symbol "dim" and "" represents a diminished seventh chord (a four-tone chord), which in some modern jazz books and music theory books is represented by the "dim7" or "7" symbols. For example, the diminished triad built on C, written as C, has pitches C–E–G: : The chord can be represented by the integer notation . In the common practice period, the diminished triad is considered dissonant because of the diminished fifth (or tritone). Harmonic function In major scales, a diminished triad occurs only on the seventh scale degree. For instance, in the key of C, this is a B diminished triad (B, D, F). Since the triad is built on the seventh scale de ...
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Minor Seventh
In music theory, a minor seventh is one of two musical intervals that span seven staff positions. It is ''minor'' because it is the smaller of the two sevenths, spanning ten semitones. The major seventh spans eleven. For example, the interval from A to G is a minor seventh, as the note G lies ten semitones above A, and there are seven staff positions from A to G. Diminished and augmented sevenths span the same number of staff positions, but consist of a different number of semitones (nine and twelve, respectively). Minor seventh intervals rarely feature in melodies (and especially in their openings) but occur more often than major sevenths. The best-known example, in part due to its frequent use in theory classes, is found between the first two words of the phrase "There's a place for us" in the song " Somewhere" in ''West Side Story''.Neely, Blake (2009). ''Piano For Dummies'', p.201. . Another well-known example occurs between the first two notes of the introduction to the ...
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Major Seventh
In music from Western culture, a seventh is a musical interval encompassing seven staff positions (see Interval number for more details), and the major seventh is one of two commonly occurring sevenths. It is qualified as ''major'' because it is the larger of the two. The major seventh spans eleven semitones, its smaller counterpart being the minor seventh, spanning ten semitones. For example, the interval from C to B is a major seventh, as the note B lies eleven semitones above C, and there are seven staff positions from C to B. Diminished and augmented sevenths span the same number of staff positions, but consist of a different number of semitones (nine and twelve). The easiest way to locate and identify the major seventh is from the octave rather than the unison, and it is suggested that one sings the octave first.Keith Wyatt, Carl Schroeder, Joe Elliott (2005). ''Ear Training for the Contemporary Musician'', p.69. . For example, the most commonly cited example of a melod ...
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Dominant Seventh
In music theory, a dominant seventh chord, or major minor seventh chord, is a seventh chord, usually built on the fifth degree of the major scale, and composed of a root, major third, perfect fifth, and minor seventh. Thus it is a major triad together with a minor seventh, denoted by the letter name of the chord root and a superscript "7". An example is the dominant seventh chord built on G, written as G7, having pitches G–B–D–F: : Dominant seventh chords contain a strong dissonance – a tritone between the chord's third and seventh. Dominant seventh chords are often built on the fifth scale degree (or dominant) of a key. For instance, in the C major scale, G is the fifth note of the scale, and the seventh chord built on G is the dominant seventh chord, G7 (shown above). In this chord, F is a minor seventh above G. In Roman numeral analysis, G7 would be represented as V7 in the key of C major. Similarly, this chord also occurs on the seventh degree of any natural ...
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Major-minor Seventh
A seventh chord is a chord consisting of a triad plus a note forming an interval of a seventh above the chord's root. When not otherwise specified, a "seventh chord" usually means a dominant seventh chord: a major triad together with a minor seventh. However, a variety of sevenths may be added to a variety of triads, resulting in many different types of seventh chords. In its earliest usage, the seventh was introduced solely as an embellishing or nonchord tone. The seventh destabilized the triad, and allowed the composer to emphasize movement in a given direction. As time passed and the collective ear of the western world became more accustomed to dissonance, the seventh was allowed to become a part of the chord itself, and in some modern music, jazz in particular, nearly every chord is a seventh chord. Additionally, the general acceptance of equal temperament during the 19th century reduced the dissonance of some earlier forms of sevenths. Classification Most textbook ...
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