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Augmented Fifth
In Western classical music, an augmented fifth () is an interval produced by widening a perfect fifth by a chromatic semitone.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . For instance, the interval from C to G is a perfect fifth, seven semitones wide, and both the intervals from C to G, and from C to G are augmented fifths, spanning eight semitones. Being augmented, it is considered a dissonant interval. Its inversion is the diminished fourth, and its enharmonic equivalent is the minor sixth. The augmented fifth only began to make an appearance at the beginning of the common practice period of music as a consequence of composers seeking to strengthen the normally weak seventh degree when composing music in minor modes. This was achieved by chromatically raising the seventh degree (or subtonic) to match that of the unstable seventh degree (or leading tone) of the major mode (an increasingly widespread practice that led to the creation ...
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Diminished Fourth
In classical music from Western culture, a diminished fourth () is an Interval (music), interval produced by Diminution, narrowing a perfect fourth by a chromatic semitone.Benward & Saker (2003). ''Music: In Theory and Practice, Vol. I'', p.54. . Specific example of an d4 not given but general example of perfect intervals described. For example, the interval from C to F is a perfect fourth, five semitones wide, and both the intervals from C to F, and from C to F are diminished fourths, spanning four semitones. Being diminished, it is considered a consonance and dissonance, dissonant interval. A diminished fourth is enharmonically equivalent to a major third; that is, it spans the same number of semitones, and they are physically the same pitch in twelve-tone equal temperament. For example, B–D is a major third; but if the same pitches are spelled B and E, as occurs in the C harmonic minor scale, the interval is instead a diminished fourth. In other tunings, however, they are no ...
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Leading Tone
In music theory, a leading tone (also called subsemitone or leading note in the UK) is a musical note, note or pitch (music), pitch which resolution (music), resolves or "leads" to a note one semitone higher or lower, being a lower and upper leading tone, respectively. Typically, leading tone refers to the seventh Scale-degree, scale degree of a major scale (), a major seventh above the Tonic (music), tonic. In the Solfège#Movable do solfège, movable do solfège system, the leading tone is sung as ''si''. A leading-tone triad is a triad (music), triad built on the seventh scale degree in a major key (vii in Roman numeral analysis), while a leading-tone seventh chord is a seventh chord built on the seventh scale degree (vii7). Walter Piston considers and notates vii as V, an incomplete dominant seventh chord. (For the Roman numeral notation of these chords, see Roman numeral analysis.) Note Seventh scale degree (or lower leading tone) Typically, when people speak of ''the ...
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List Of Meantone Intervals
The following is a list of intervals of extended meantone temperament. These intervals constitute the standard vocabulary of intervals for the Western common practice era. Here 12 EDO refers to the size of the interval in the temperament with 12 equal divisions of the octave, which is the most common meantone temperament in the modern era, 19 EDO to 19 equal temperament, 31 EDO to 31 equal temperament, and 50 EDO to 50 equal temperament. Note that for brevity, several of the intervals for 31 EDO and 50 EDO are omitted from the table. R.W. Duffin writes: : "Specifying that the major semitone should be the minor semitone creates a 31 note division of the octave, which, in turn, closely corresponds to extended-quarter-comma meantone ... the 5:4 ratio extended-sixth-comma meantone corresponds to the 55 division ... extended-fifth-comma meantone the 43 division of the octave ratio of the major to minor semitone is 4:3." ...
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Cent (music)
The cent is a logarithmic unit of measure used for musical intervals. Twelve-tone equal temperament divides the octave into 12 semitones of 100 cents each. Typically, cents are used to express small intervals, to check intonation, or to compare the sizes of comparable intervals in different tuning systems. For humans, a single cent is too small to be perceived between successive notes. Cents, as described by Alexander John Ellis, follow a tradition of measuring intervals by logarithms that began with Juan Caramuel y Lobkowitz in the 17th century. Ellis chose to base his measures on the hundredth part of a semitone, \sqrt 200/math>, at Robert Holford Macdowell Bosanquet's suggestion. Making extensive measurements of musical instruments from around the world, Ellis used cents to report and compare the scales employed, and further described and utilized the system in his 1875 edition of Hermann von Helmholtz's ''On the Sensations of Tone''. It has become the standard me ...
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Equal Temperament
An equal temperament is a musical temperament or Musical tuning#Tuning systems, tuning system that approximates Just intonation, just intervals by dividing an octave (or other interval) into steps such that the ratio of the frequency, frequencies of any adjacent pair of notes is the same. This system yields Pitch (music), pitch steps perceived as equal in size, due to the logarithmic changes in pitch frequency. In classical music and Western music in general, the most common tuning system since the 18th century has been 12 equal temperament (also known as ''12 tone equal temperament'', ' or ', informally abbreviated as ''12 equal''), which divides the octave into 12 parts, all of which are equal on a logarithmic scale, with a ratio equal to the twelfth root of two, 12th root of 2, (\sqrt[12] ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. In Western world, Western countries the term ''equal temperamen ...
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Dominant Chord
In music, the dominant is the fifth scale degree () of the diatonic scale. It is called the ''dominant'' because it is second in importance to the first scale degree, the tonic. In the movable do solfège system, the dominant note is sung as "So(l)". The triad built on the dominant note is called the dominant chord. This chord is said to have dominant function, which means that it creates an instability that requires the tonic for resolution. Dominant triads, seventh chords, and ninth chords typically have dominant function. Leading-tone triads and leading-tone seventh chords may also have dominant function. Dominant chords In music theory, the dominant triad is a major chord, symbolized by the Roman numeral "V" in the major scale. In the natural minor scale, the triad is a minor chord, denoted by "v". However, in a minor key, the seventh scale degree is often raised by a half step ( to ), creating a major chord. These chords may also appear as seventh chord ...
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Jazz
Jazz is a music genre that originated in the African-American communities of New Orleans, Louisiana, in the late 19th and early 20th centuries. Its roots are in blues, ragtime, European harmony, African rhythmic rituals, spirituals, hymns, marches, vaudeville song, and dance music. Since the 1920s Jazz Age, it has been recognized as a major form of musical expression in traditional and popular music. Jazz is characterized by swing and blue notes, complex chords, call and response vocals, polyrhythms and improvisation. As jazz spread around the world, it drew on national, regional, and local musical cultures, which gave rise to different styles. New Orleans jazz began in the early 1910s, combining earlier brass band marches, French quadrilles, biguine, ragtime and blues with collective polyphonic improvisation. However, jazz did not begin as a single musical tradition in New Orleans or elsewhere. In the 1930s, arranged dance-oriented swing big bands, ...
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Augmented Triad
An augmented triad is a chord, made up of two major thirds (an augmented fifth). The term ''augmented triad'' arises from an augmented triad being considered a major chord whose top note (fifth) is raised. When using popular-music symbols, it is indicated by the symbol "+" or "aug". For example, the augmented triad built on A, written as A+, has pitches A-C-E: The chord can be represented by the integer notation . Analysis Whereas a major triad, such as C–E–G, contains a major third (C–E) and a minor third (E–G), with the interval of the fifth (C–G) being perfect, the augmented triad has an augmented fifth, becoming C–E–G. In other words, the top note is raised a semitone. H.R. Palmer notes: The augmented chord on I may contain the major seventh (I () or I ()), while the augmented chord on V may contain the minor seventh (V (), V (), or V ()). In C: C–E–G–B and G–B–D–F. The augmented triad on the V may be used as a substitute dominant, and ...
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Mediant
In music, the mediant (''Latin'': "being in the middle") is the third scale degree () of a diatonic scale, being the note halfway between the tonic and the dominant.Benward & Saker (2003), p.32. In the movable do solfège system, the mediant note is sung as ''mi''. While the fifth scale degree is almost always a perfect fifth, the mediant can be a major or minor third. Schenkerian analysts consider the ''mediant'' (third scale degree) as an expansion or extension of the tonic since they are both common tones of the tonic chord. Thus, the third degree of a tonic triad is also the mediant iii note; furthermore, the 5th degree of the submediant chord vi is also the mediant iii note. On the other hand, in German theory derived from Hugo Riemann the mediant in major is considered the dominant parallel, Dp, and in minor the tonic parallel, tP. In Roman numeral analysis, the mediant chord can take several forms. In major scales, the mediant chord is a minor triad and is symboli ...
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Harmonic Minor Scale
The harmonic minor scale (or Aeolian ♮7 scale) is a Scale (music), musical scale derived from the natural minor scale, with the minor seventh degree raised by one semitone to a major seventh, creating an augmented second between the sixth and seventh degrees. : Thus, a harmonic minor scale is represented by the following notation: : 1, 2, 3, 4, 5, 6, 7, 8 A harmonic minor scale can be built by lowering the 3rd and 6th degrees of the parallel major scale by one semitone. Because of this construction, the 7th degree of the harmonic minor scale functions as a leading tone to the Tonic (music), tonic because it is a ''semitone'' lower than the tonic, rather than a ''whole tone'' lower than the tonic as it is in natural minor scales. The Interval (music), intervals between the notes of a harmonic minor scale follow the sequence below: : whole, half, whole, whole, half, augmented second, half While it evolved primarily as a basis for chords, the harmonic minor with its augment ...
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Minor Scale
In Classical_music, Western classical music theory, the minor scale refers to three Scale (music), scale patterns – the natural minor scale (or Aeolian mode), the harmonic minor scale, and the melodic minor scale (ascending or descending). These scales contain all three notes of a minor triad: the root (chord), root, a minor third (rather than the major third, as in a Major chord, major triad or major scale), and a perfect fifth (rather than the tritone, diminished fifth, as in a diminished scale or half diminished scale). Minor scale is also used to refer to other scales with this property, such as the Dorian mode or the Pentatonic Scale#Minor pentatonic scale, minor pentatonic scale (see #Other minor scales, other minor scales below). Natural minor scale Relationship to relative major A natural minor scale (or Aeolian mode) is a diatonic scale that is built by starting on the sixth Degree (music), degree of its relative major, relative major scale. For instance, the ...
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