Harmonic Frequency
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Harmonic Frequency
A harmonic is a wave with a frequency that is a positive integer multiple of the ''fundamental frequency'', the frequency of the original periodic signal, such as a sinusoidal wave. The original signal is also called the ''1st harmonic'', the other harmonics are known as ''higher harmonics''. As all harmonics are periodic at the fundamental frequency, the sum of harmonics is also periodic at that frequency. The set of harmonics forms a '' harmonic series''. The term is employed in various disciplines, including music, physics, acoustics, electronic power transmission, radio technology, and other fields. For example, if the fundamental frequency is 50  Hz, a common AC power supply frequency, the frequencies of the first three higher harmonics are 100 Hz (2nd harmonic), 150 Hz (3rd harmonic), 200 Hz (4th harmonic) and any addition of waves with these frequencies is periodic at 50 Hz. In music, harmonics are used on string instruments and wind instrum ...
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Violin
The violin, sometimes known as a ''fiddle'', is a wooden chordophone (string instrument) in the violin family. Most violins have a hollow wooden body. It is the smallest and thus highest-pitched instrument (soprano) in the family in regular use. The violin typically has four strings (music), strings (some can have five-string violin, five), usually tuned in perfect fifths with notes G3, D4, A4, E5, and is most commonly played by drawing a bow (music), bow across its strings. It can also be played by plucking the strings with the fingers (pizzicato) and, in specialized cases, by striking the strings with the wooden side of the bow (col legno). Violins are important instruments in a wide variety of musical genres. They are most prominent in the Western classical music, Western classical tradition, both in ensembles (from chamber music to orchestras) and as solo instruments. Violins are also important in many varieties of folk music, including country music, bluegrass music, and ...
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Consonance
In music, consonance and dissonance are categorizations of simultaneous or successive sounds. Within the Western tradition, some listeners associate consonance with sweetness, pleasantness, and acceptability, and dissonance with harshness, unpleasantness, or unacceptability, although there is broad acknowledgement that this depends also on familiarity and musical expertise. The terms form a structural dichotomy in which they define each other by mutual exclusion: a consonance is what is not dissonant, and a dissonance is what is not consonant. However, a finer consideration shows that the distinction forms a gradation, from the most consonant to the most dissonant. In casual discourse, as German composer and music theorist Paul Hindemith stressed, "The two concepts have never been completely explained, and for a thousand years the definitions have varied". The term ''sonance'' has been proposed to encompass or refer indistinctly to the terms ''consonance'' and ''dissonance''. Def ...
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William Sethares
William A. Sethares (born April 19, 1955) is an American music theorist and professor of electrical engineering at the University of Wisconsin. In music, he has contributed to the theory of Dynamic Tonality and provided a formalization of consonance. Consonance and dissonance Among the earliest musical traditions, musical consonance was thought to arise in a quasi-mystical manner from ratios of small whole numbers. (For instance, Pythagoras made observations relating to this, and the ancient Chinese Guqin contains a dotted scale representing the harmonic series.) The source of these ratios, in the pattern of vibrations known as the harmonic series, was exposed by Joseph Sauveur the early 18th century and even more clearly by Helmholtz in the 1860s. In 1965, Plomp and Levelt showed that this relationship could be generalized beyond the harmonic series, although they did not elaborate in detail. In the 1990s, Sethares began exploring Plomp and Levelt's generalization, both mathema ...
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Dynamic Tonality
Dynamic tonality is a paradigm for tuning and timbre which generalizes the special relationship between just intonation and the harmonic series to apply to a wider set of pseudo-just tunings and related pseudo-harmonic timbres.Duffin, R.W., 2006''How Equal Temperament Ruined Harmony (and Why You Should Care)''/ref> This misalignment, in any tuning that is not fully Just (and hence infinitely complex), is the defining characteristic of the Static Timbre Paradigm. Instruments Many of the pseudo-just temperaments proposed during this "temperament battle" were rank-2 (two-dimensional)—such as quarter-comma meantone—that provided more than 12 notes per octave. However, the standard piano-like keyboard is only rank-1 (one-dimensional), affording at most 12 notes per octave. Piano-like keyboards affording more than 12 notes per octave were developed by Vicentino, Colonna, Mersenne, Huygens, and Newton, but were deemed cumbersome and difficult to learn. The dynamic tonality para ...
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Cymbals
A cymbal is a common percussion instrument. Often used in pairs, cymbals consist of thin, normally round plates of various alloys. The majority of cymbals are of indefinite pitch, although small disc-shaped cymbals based on ancient designs sound a definite note (such as crotales). Cymbals are used in many ensembles ranging from the orchestra, percussion ensembles, jazz bands, heavy metal bands, and marching groups. Drum kits usually incorporate at least a crash, ride, or crash/ride, and a pair of hi-hat cymbals. A player of cymbals is known as a cymbalist. Etymology and names The word cymbal is derived from the Latin ''cymbalum'', which is the latinisation of the Greek word ''kymbalon'', "cymbal", which in turn derives from ''kymbē'', "cup, bowl". In orchestral scores, cymbals may be indicated by the French ''cymbales''; German ''Becken'', ''Schellbecken'', ''Teller'', or ''Tschinellen''; Italian ''piatti'' or ''cinelli''; and Spanish ''platillos''. Many of these deri ...
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Multiphonics
A multiphonic is an extended technique on a monophonic musical instrument (one that generally produces only one note at a time) in which several notes are produced at once. This includes wind, reed, and brass instruments, as well as the human voice. Multiphonic-like sounds on string instruments, both bowed and hammered, have also been called multiphonics, for lack of better terminology and scarcity of research. Multiphonics on wind instruments are primarily a 20th-century technique, though the brass technique of singing while playing has been known since the 18th century and used by composers such as Carl Maria von Weber. Commonly, no more than four notes will be produced at once, though for some chords on some instruments it is possible to get several more. Technique Woodwind instruments On woodwind instruments—e.g., saxophone, clarinet, oboe, bassoon, flute, and recorder—multiphonics can be produced either with new fingerings, by using different embouchures, or voicing t ...
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Singing Bowl
A standing bell or resting bell is an inverted bell, supported from below with the rim uppermost. Such bells are normally bowl-shaped, and exist in a wide range of sizes, from a few centimetres to a metre in diameter. They are often played by striking, but some—known as singing bowls—may also be played by rotating a mallet around the outside rim to produce a sustained musical note. Struck bowls are used in some Buddhist religious practices to accompany periods of meditation and chanting. Struck and singing bowls are widely used for music making, meditation and relaxation, as well for personal spirituality. They have become popular with music therapists, sound healers and yoga practitioners. Standing bells originated in China. An early form called took the shape of a stemmed goblet, mounted with rim uppermost, and struck on the outside with a mallet. The manufacture and use of bowls specifically for 'singing' is believed to be a modern phenomenon. Bowls that were capable of ...
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Pizzicato
Pizzicato (, ; translated as "pinched", and sometimes roughly as "plucked") is a playing technique that involves plucking the strings of a string instrument. The exact technique varies somewhat depending on the type of instrument : * On bowed string instruments it is a method of playing by plucking the strings with the fingers, rather than using the bow. This produces a very different sound from bowing, short and percussive rather than sustained. * On keyboard string instruments, such as the piano, pizzicato may be employed (although rarely seen in traditional repertoire, this technique has been normalized in contemporary music, with ample examples by George Crumb, Toru Takemitsu, Helmut Lachenmann, and others) as one of the variety of techniques involving direct manipulation of the strings known collectively as "string piano". * On the guitar, it is a muted form of plucking, which bears an audible resemblance to pizzicato on a bowed string instrument with its relatively short ...
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Piano
The piano is a stringed keyboard instrument in which the strings are struck by wooden hammers that are coated with a softer material (modern hammers are covered with dense wool felt; some early pianos used leather). It is played using a keyboard, which is a row of keys (small levers) that the performer presses down or strikes with the fingers and thumbs of both hands to cause the hammers to strike the strings. It was invented in Italy by Bartolomeo Cristofori around the year 1700. Description The word "piano" is a shortened form of ''pianoforte'', the Italian term for the early 1700s versions of the instrument, which in turn derives from ''clavicembalo col piano e forte'' (key cimbalom with quiet and loud)Pollens (1995, 238) and ''fortepiano''. The Italian musical terms ''piano'' and ''forte'' indicate "soft" and "loud" respectively, in this context referring to the variations in volume (i.e., loudness) produced in response to a pianist's touch or pressure on the keys: the grea ...
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Inharmonicity
In music, inharmonicity is the degree to which the frequencies of overtones (also known as partials or partial tones) depart from whole multiples of the fundamental frequency ( harmonic series). Acoustically, a note perceived to have a single distinct pitch in fact contains a variety of additional overtones. Many percussion instruments, such as cymbals, tam-tams, and chimes, create complex and inharmonic sounds. Music harmony and intonation depends strongly on the harmonicity of tones. An ideal, homogeneous, infinitesimally thin or infinitely flexible string or column of air has exactly harmonic modes of vibration. In any real musical instrument, the resonant body that produces the music tone—typically a string, wire, or column of air—deviates from this ideal and has some small or large amount of inharmonicity. For instance, a very thick string behaves less as an ideal string and more like a cylinder (a tube of mass), which has natural resonances that are not whole numb ...
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Clarinet
The clarinet is a musical instrument in the woodwind family. The instrument has a nearly cylindrical bore and a flared bell, and uses a single reed to produce sound. Clarinets comprise a family of instruments of differing sizes and pitches. The clarinet family is the largest such woodwind family, with more than a dozen types, ranging from the BB♭ contrabass to the E♭ soprano. The most common clarinet is the B soprano clarinet. German instrument maker Johann Christoph Denner is generally credited with inventing the clarinet sometime after 1698 by adding a register key to the chalumeau, an earlier single-reed instrument. Over time, additional keywork and the development of airtight pads were added to improve the tone and playability. Today the clarinet is used in classical music, military bands, klezmer, jazz, and other styles. It is a standard fixture of the orchestra and concert band. Etymology The word ''clarinet'' may have entered the English language via the Fr ...
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