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Scale Of Harmonics
The scale of harmonics is a musical scale based on the noded positions of the natural harmonics existing on a string. This musical scale is present on the guqin, regarded as one of the first string instruments with a musical scale.Yin, Wei. ''Zhongguo Qinshi Yanyi'' 【中国琴史演义】 (Chinese). Pages 1-10. Most fret positions appearing on Non-Western string instruments (lutes) are equal to positions of this scale. Unexpectedly, these fret positions are actually the corresponding undertones of the overtones from the harmonic series. The distance from the nut to the fret is an integer number lower than the distance from the fret to the bridge (see: superparticular number). Origin On the guqin, the left end of the dotted scale is a mirror image of the right end. The instrument is played with flageolet tones (harmonics) as well as pressing the strings on the wood. The flageolets appear on the harmonic positions of the overtone series, therefore these positions are marked a ...
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Overtone Series
The harmonic series (also overtone series) is the sequence of harmonics, musical tones, or pure tones whose frequency is an integer multiple of a ''fundamental frequency''. Pitched musical instruments are often based on an acoustic resonator such as a string or a column of air, which oscillates at numerous modes simultaneously. As waves travel in both directions along the string or air column, they reinforce and cancel one another to form standing waves. Interaction with the surrounding air produces audible sound waves, which travel away from the instrument. These frequencies are generally integer multiples, or harmonics, of the fundamental and such multiples form the harmonic series. The fundamental, which is usually perceived as the lowest partial present, is generally perceived as the pitch of a musical tone. The musical timbre of a steady tone from such an instrument is strongly affected by the relative strength of each harmonic. Terminology Partial, harmonic, f ...
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7-limit
7-limit or septimal tunings and intervals are musical instrument tunings that have a limit of seven: the largest prime factor contained in the interval ratios between pitches is seven. Thus, for example, 50:49 is a 7-limit interval, but 14:11 is not. For example, the greater just minor seventh, 9:5 () is a 5-limit ratio, the harmonic seventh has the ratio 7:4 and is thus a septimal interval. Similarly, the septimal chromatic semitone, 21:20, is a septimal interval as 21÷7=3. The harmonic seventh is used in the barbershop seventh chord and music. () Compositions with septimal tunings include La Monte Young's ''The Well-Tuned Piano'', Ben Johnston's String Quartet No. 4, Lou Harrison's ''Incidental Music for Corneille's Cinna'', and Michael Harrison's ''Revelation: Music in Pure Intonation''. The Great Highland bagpipe is tuned to a ten-note seven-limit scale: 1:1, 9:8, 5:4, 4:3, 27:20, 3:2, 5:3, 7:4, 16:9, 9:5. In the 2nd century Ptolemy described the septima ...
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Limit (music)
In music theory, limits or harmonic limits are a way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale. The term ''limit'' was introduced by Harry Partch, who used it to give an upper bound on the complexity of harmony; hence the name. The harmonic series and the evolution of music Harry Partch, Ivor Darreg, and Ralph David Hill are among the many microtonalists to suggest that music has been slowly evolving to employ higher and higher harmonics in its constructs (see emancipation of the dissonance). In medieval music, only chords made of octaves and perfect fifths (involving relationships among the first three harmonics) were considered consonant. In the West, triadic harmony arose ( contenance angloise) around the time of the Renaissance, and triads quickly became the fundamental building blocks of Western music. The major and minor thirds of these triads invoke relationships among the fi ...
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đàn Bầu
The ''đàn bầu'' (; "gourd zither"; Chữ Nôm: ), also called ''độc huyền cầm'' (獨絃琴, "one-string zither"; the name is only used by the Jing ethnicity in China) is a Vietnamese stringed instrument, in the form of a monochord (one-string) zither. History While the earliest written records of the ''đàn bầu'' date its origin to 1770, scholars estimate its age to be up to one thousand years older than that. A popular legend of its beginning tells of a blind woman playing it in the market to earn a living for her family while her husband was at war. Whether this tale is based in fact or not, it remains true that the ''đàn bầu'' has historically been played by blind musicians. Until recent times, its soft volume limited the musical contexts in which it could be used. The ''đàn bầu'', played solo, is central to Vietnamese folk music, a genre still popular today in the country. Its other traditional application is as an accompaniment to poetry readings. ...
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Vietnamese Scale Of Harmonics On C
Vietnamese may refer to: * Something of, from, or related to Vietnam, a country in Southeast Asia * Vietnamese people, or Kinh people, a Southeast Asian ethnic group native to Vietnam ** Overseas Vietnamese, Vietnamese people living outside Vietnam within a diaspora * Vietnamese alphabet * Vietnamese cuisine * Vietnamese culture * Vietnamese language See also * Viennese (other) * List of Vietnamese people List of famous or notable Vietnamese people (''Người Việt'' or ''Người gốc Việt -'' Vietnamese or Vietnamese-descent). This list is incomplete. Art and design Fashion *Đặng Thị Minh Hạnh, fashion designer *Nguyễn Thù ... * {{disambiguation Language and nationality disambiguation pages ...
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Pythagorean Tuning
Pythagorean tuning is a system of musical tuning in which the frequency ratios of all intervals are determined by choosing a sequence of fifthsBruce Benward and Marilyn Nadine Saker (2003). ''Music: In Theory and Practice'', seventh edition, 2 vols. (Boston: McGraw-Hill). Vol. I: p. 56. which are " pure" or perfect, with ratio 3:2. This is chosen because it is the next harmonic of a vibrating string, after the octave (which is the ratio 2:1), and hence is the next most consonant "pure" interval, and the easiest to tune by ear. As Novalis put it, "The musical proportions seem to me to be particularly correct natural proportions." Alternatively, it can be described as the tuning of the syntonic temperament in which the generator is the ratio 3:2 (i.e., the untempered perfect fifth), which is ≈ 702 cents wide. The system dates back to Ancient Mesopotamia;. (See .) It is named, and has been widely misattributed, to Ancient Greeks, notably Pythagoras (six ...
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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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Major Scale
The major scale (or Ionian mode) is one of the most commonly used musical scales, especially in Western music. It is one of the diatonic scales. Like many musical scales, it is made up of seven notes: the eighth duplicates the first at double its frequency so that it is called a higher octave of the same note (from Latin "octavus", the eighth). The simplest major scale to write is C major, the only major scale not requiring sharps or flats: The major scale has a central importance in Western music, particularly that of the common practice period and in popular music. In Carnatic music, it is known as '' Sankarabharanam''. In Hindustani classical music, it is known as '' Bilaval''. Structure A major scale is a diatonic scale. The sequence of intervals between the notes of a major scale is: : whole, whole, half, whole, whole, whole, half where "whole" stands for a whole tone (a red u-shaped curve in the figure), and "half" stands for a semitone (a red angled ...
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Just Intonation
In music, just intonation or pure intonation is a musical tuning, tuning system in which the space between notes' frequency, frequencies (called interval (music), intervals) is a natural number, whole number ratio, ratio. Intervals spaced in this way are said to be pure, and are called just intervals. Just intervals (and chords created by combining them) consist of tones from a single harmonic series (music), harmonic series of an implied fundamental frequency, fundamental. For example, in the diagram, if the notes G3 and C4 (labelled 3 and 4) are tuned as members of the harmonic series of the lowest C, their frequencies will be 3 and 4 times the fundamental frequency. The interval ratio between C4 and G3 is therefore 4:3, a just fourth (music), fourth. In Western musical practice, bowed instruments such as violins, violas, cellos, and double basses are tuned using pure fifths or fourths. In contrast, keyboard instruments are rarely tuned using only pure intervals—the desire fo ...
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Harmonic Seventh
The harmonic seventh interval, also known as the septimal minor seventh, or subminor seventh, is one with an exact 7:4 ratio (about 969 cent (music), cents). This is about 32 cents narrower, with a more stable and consonant sound, than a minor seventh in equal temperament, and is up to 49 cents narrower than and is, "particularly sweet", "sweeter in quality" than an "ordinary" minor seventh, just minor seventh, which has an intonation ratio of 9:5 (about 1018 cents). The harmonic seventh arises from the Harmonic series (music), harmonic series as the interval between the fourth harmonic (second octave of the fundamental) and the seventh harmonic; in that octave, harmonics 4, 5, 6, and 7 constitute the four notes (in order) of a purely consonant major chord (root position) with an added minor seventh (or augmented sixth, depending on the tuning system used). Fixed pitch: Not a scale note Although the word "seventh" in the name suggests the seventh note in a scale, an ...
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