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In music, sharp, dièse (from French), or diesis (from Greek) means, "higher in pitch". More specifically, in musical notation, sharp means "higher in pitch by one semitone (half step)". Sharp is the opposite of flat, which is a lowering of pitch. A sharp symbol, , is used in key signatures or as an accidental. For instance, the music below has a key signature with three sharps (indicating either A major or F minor, the relative minor) and the note, A, has a sharp accidental. : Under twelve-tone equal temperament, B, for instance, sounds the same as, or is enharmonically equivalent to, C natural (C), and E is enharmonically equivalent to F. In other tuning systems, such enharmonic equivalences in general do not exist. To allow extended just intonation, composer Ben Johnston uses a sharp to indicate a note is raised 70.6 cents (ratio 25:24), or a flat to indicate a note is lowered 70.6 cents. In intonation, sharp can also mean "slightly higher in pitch" (by some unsp ...
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Twelve-tone Equal Temperament
Twelve-tone equal temperament (12-TET) is the musical system that divides the octave into 12 parts, all of which are equally tempered (equally spaced) on a logarithmic scale, with a ratio equal to the 12th root of 2 ( ≈ 1.05946). That resulting smallest interval, the width of an octave, is called a semitone or half step. Twelve-tone equal temperament is the most widespread system in music today. It has been the predominant tuning system of Western music, starting with classical music, since the 18th century, and Europe almost exclusively used approximations of it for millennia before that. It has also been used in other cultures. In modern times, 12-TET is usually tuned relative to a standard pitch of 440 Hz, called A440, meaning one note, A, is tuned to 440 hertz and all other notes are defined as some multiple of semitones apart from it, either higher or lower in frequency. The standard pitch has not always been 440 Hz. It has varied and generally risen over the ...
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Musical Notation
Music notation or musical notation is any system used to visually represent aurally perceived music played with instruments or sung by the human voice through the use of written, printed, or otherwise-produced symbols, including notation for durations of absence of sound such as rests. The types and methods of notation have varied between cultures and throughout history, and much information about ancient music notation is fragmentary. Even in the same time period, such as in the 2010s, different styles of music and different cultures use different music notation methods; for example, for professional classical music performers, sheet music using staves and noteheads is the most common way of notating music, but for professional country music session musicians, the Nashville Number System is the main method. The symbols used include ancient symbols and modern symbols made upon any media such as symbols cut into stone, made in clay tablets, made using a pen on papyrus or ...
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F-sharp Minor
F-sharp minor is a minor scale based on F, consisting of the pitches F, G, A, B, C, D, and E. Its key signature has three sharps. Its relative major is A major and its parallel major is F-sharp major (or enharmonically G-flat major). The F-sharp natural minor scale is: : Changes needed for the melodic and harmonic versions of the scale are written in with accidentals as necessary. The F-sharp harmonic minor and melodic minor scales are: : : Music in F-sharp minor Very few symphonies are written in this key, Haydn's ''Farewell Symphony'' being one famous example. George Frederick Bristow and Dora Pejačević also wrote symphonies in this key. The few concerti written in this key are usually written for the composer himself to play, including Rachmaninoff's Piano Concerto No. 1, Scriabin's Piano Concerto, Wieniawski's Violin Concerto No. 1, Vieuxtemps's Violin Concerto No. 2, and Koussevitzky's Double Bass Concerto. In addition to the ''Farewell Symp ...
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A Major
A major (or the key of A) is a major scale based on A, with the pitches A, B, C, D, E, F, and G. Its key signature has three sharps. Its relative minor is F-sharp minor and its parallel minor is A minor. The key of A major is the only key where the Neapolitan sixth chord on  (''i.e.'' the flattened supertonic) requires both a flat and a natural accidental. The A major scale is: : In the treble, alto, and bass clefs, the G in the key signature is placed higher than C. However, in the tenor clef, it would require a ledger line and so G is placed lower than C. History Although not as rare in the symphonic literature as sharper keys (those containing more than three sharps), symphonies in A major are less common than in keys with fewer sharps such as D major or G major. Beethoven's Symphony No. 7, Bruckner's Symphony No. 6 and Mendelssohn's Symphony No. 4 comprise a nearly complete list of symphonies in this key in the Romantic era. Mozart's Clarinet Concerto ...
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Number Sign
The symbol is known variously in English-speaking regions as the number sign, hash, or pound sign. The symbol has historically been used for a wide range of purposes including the designation of an ordinal number and as a Typographic ligature, ligatured abbreviation for Pound (mass), pounds avoirdupois – having been derived from the now-rare . Since 2007, widespread usage of the symbol to introduce metadata tags on social media platforms has led to such tags being known as "hashtags", and from that, the symbol itself is sometimes called a hashtag. The symbol is distinguished from similar symbols by its combination of level horizontal strokes and right-tilting vertical strokes. History It is believed that the symbol traces its origins to the symbol , an abbreviation of the Roman term ''Roman pound, libra pondo'', which translates as "pound weight". This abbreviation was printed with a dedicated Ligature (writing), ligature type element, with a horizontal line across, so t ...
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A♯ (musical Note)
A (A-sharp; also called la dièse) is the eleventh semitone of the solfege. In some countries (where B is known as H) it is informally called B. This note lies a chromatic semitone above A and a diatonic semitone below B, thus being enharmonic to ''si bémol'' or B (B-flat). When calculated in equal temperament with a reference of A above middle C as 440 Hz, the frequency of the A above middle C is approximately 466.164 Hz. See pitch (music) for a discussion of historical variations in frequency. Designation by octave Scales Common scales beginning on A * A major: A B C D E F G A * A natural minor: A B C D E F G A * A harmonic minor: A B C D E F G A * A melodic minor ascending: A B C D E F G A * A melodic minor descending: A G F E D C B A Diatonic scales * A Ionian: A B C D E F G A * A Dorian: A B C D E F G A * A Phrygian: A B C D E F G A * A Lydian: A B C D E F G A * A Mixolydian: A B C D E F G A * A Aeolian: A B C D E F G A * A Locrian: A B C D E F G ...
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Flat (music)
In music, flat (Italian bemolle for "soft B") means "lower in pitch". Flat is the opposite of sharp, which is a raising of pitch. In musical notation, flat means "lower in pitch by one semitone (half step)", notated using the symbol which is derived from a stylised lowercase 'b'. For instance, the music below has a key signature with three flats (indicating either E major or C minor) and the note, D, has a flat accidental. : Under twelve-tone equal temperament, D for instance is enharmonically equivalent to C, and G is equivalent to F. In any other tuning system, such enharmonic equivalences in general do not exist. To allow extended just intonation, composer Ben Johnston uses a sharp as an accidental to indicate a note is raised 70.6 cents (ratio 25:24), and a flat to indicate a note is lowered 70.6 cents. In intonation, flat can also mean "slightly lower in pitch" (by some unspecified amount). If two simultaneous notes are slightly out-of-tune, the lower-pitched o ...
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Key Signature
In Western musical notation, a key signature is a set of sharp (), flat (), or rarely, natural () symbols placed on the staff at the beginning of a section of music. The initial key signature in a piece is placed immediately after the clef at the beginning of the first line. If the piece contains a section in a different key, the new key signature is placed at the beginning of that section. In a key signature, a sharp or flat symbol on a line or space of the staff indicates that the note represented by that line or space is to be played a semitone higher (sharp) or lower (flat) than it would otherwise be played. This applies through the end of the piece or until another key signature is indicated. Each symbol applies to all notes in the same pitch class—for example, a flat on the third line of the treble staff (as in the diagram) indicates that all notes appearing as Bs are played as B-flats. This convention was not universal until the late Baroque and early Classical peri ...
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Diesis
In classical music from Western culture, a diesis ( , plural dieses ( , "difference"; Greek: δίεσις "leak" or "escape"Benson, Dave (2006). ''Music: A Mathematical Offering'', p.171. . Based on the technique of playing the aulos, where pitch is raised a small amount by slightly raising the finger on the lowest closed hole, letting a small amount of air "escape".) is either an accidental (see sharp), or a very small musical interval, usually defined as the difference between an octave (in the ratio 2:1) and three justly tuned major thirds (tuned in the ratio 5:4), equal to 128:125 or about 41.06 cents. In 12-tone equal temperament (on a piano for example) three major thirds in a row equal an octave, but three justly-tuned major thirds fall quite a bit narrow of an octave, and the diesis describes the amount by which they are short. For instance, an octave (2:1) spans from C to C', and three justly tuned major thirds (5:4) span from C to B (namely, from C, to E, to G, t ...
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Ben Johnston (composer)
Benjamin Burwell Johnston Jr. (March 15, 1926 – July 21, 2019) was an American contemporary music composer, known for his use of just intonation. He was called "one of the foremost composers of microtonal music" by Philip Bush and "one of the best non-famous composers this country has to offer" by John Rockwell. Biography Johnston was born in Macon, Georgia, and taught composition and theory at the University of Illinois at Urbana–Champaign from 1951 to 1986, before retiring to North Carolina. During his time teaching, he was in contact with avant-garde figures such as John Cage, La Monte Young, and Iannis Xenakis. Johnston's students have included Stuart Saunders Smith, Neely Bruce, Thomas Albert, Michael Pisaro, Manfred Stahnke, and Kyle Gann. He also considered his practice of just intonation to have influenced other composers, including James Tenney and Larry Polansky. In 1946 he married dance band singer Dorothy Haines, but they soon divorced. In 1950 he married artis ...
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Accidental (music)
In music, an accidental is a note of a pitch (or pitch class) that is not a member of the scale or mode indicated by the most recently applied key signature. In musical notation, the sharp (), flat (), and natural () symbols, among others, mark such notes—and those symbols are also called accidentals. In the measure (bar) where it appears, an accidental sign raises or lowers the immediately following note (and any repetition of it in the bar) from its normal pitch, overriding the key signature. A note is usually raised or lowered by a semitone, and there are double sharps or flats, which raise or lower the indicated note by two semitones. Accidentals usually apply to all repetitions within the measure in which they appear, unless canceled by another accidental sign, or tied into the following measure. If a note has an accidental and the note is repeated in a different octave within the same measure the accidental is usually repeated, although this convention is far from uni ...
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Microtonal Music
Microtonal music or microtonality is the use in music of microtones—intervals smaller than a semitone, also called "microintervals". It may also be extended to include any music using intervals not found in the customary Western tuning of twelve equal intervals per octave. In other words, a microtone may be thought of as a note that falls between the keys of a piano tuned in equal temperament. In ''Revising the musical equal temperament,'' Haye Hinrichsen defines equal temperament as “the frequency ratios of all intervals are invariant under transposition (translational shifts along the keyboard), i.e., to be constant. The standard twelve-tone ''equal temperament'' (ET), which was originally invented in ancient China and rediscovered in Europe in the 16th century, is determined by two additional conditions. Firstly the octave is divided into twelve semitones. Secondly the octave, the most fundamental of all intervals, is postulated to be pure (beatless), as described by the ...
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