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Well Temperament
Well temperament (also good temperament, circular or circulating temperament) is a type of tempered tuning described in 20th-century music theory. The term is modeled on the German word ''wohltemperiert''. This word also appears in the title of J. S. Bach's famous composition "Das wohltemperierte Klavier", ''The Well-Tempered Clavier''. Origins As used in the 17th century, the term "well tempered" meant that the twelve notes per octave of the standard keyboard were tuned in such a way that it was possible to play music in all major or minor keys that were commonly in use, without sounding perceptibly out of tune. One of the first attestations of the concept of "well tempered" is found in a treatise in German by the music theorist Andreas Werckmeister. In the subtitle of his ''Orgelprobe'', from 1681, he writes: The words and were subsequently combined into . A modern definition of "well temperament", from Herbert Kelletat, is given below: : In most tuning systems used be ...
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Musical Temperament
In musical tuning, a temperament is a tuning system that slightly compromises the pure intervals of just intonation to meet other requirements. Most modern Western musical instruments are tuned in the equal temperament system. Tempering is the process of altering the size of an interval by making it narrower or wider than pure. "Any plan that describes the adjustments to the sizes of some or all of the twelve fifth intervals in the circle of fifths so that they accommodate pure octaves and produce certain sizes of major thirds is called a ''temperament''." Temperament is especially important for keyboard instruments, which typically allow a player to play only the pitches assigned to the various keys, and lack any way to alter pitch of a note in performance. Historically, the use of just intonation, Pythagorean tuning and meantone temperament meant that such instruments could sound "in tune" in one key, or some keys, but would then have more dissonance in other keys. In the wo ...
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Syntonic Comma
In music theory, the syntonic comma, also known as the chromatic diesis, the Didymean comma, the Ptolemaic comma, or the diatonic comma is a small comma type interval between two musical notes, equal to the frequency ratio 81:80 (= 1.0125) (around 21.51 cents). Two notes that differ by this interval would sound different from each other even to untrained ears,"Sol-Fa – The Key to Temperament"
, ''BBC''. but would be close enough that they would be more likely interpreted as out-of-tune versions of the same note than as different notes. The comma is also referred to as a Didymean comma because it is the amount by which Didymus corrected the

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Nicola Vicentino
Nicola Vicentino (1511 – 1575 or 1576) was an Italian music theorist and composer of the Renaissance. He was one of the most progressive musicians of the age, inventing, among other things, a microtonal keyboard. Life Little is known of his early life. Born in Vicenza, he may have studied with Adrian Willaert in Venice, which was close by, and he acquired an early interest in the contemporary humanistic revival, including the study of ancient Greek music theory and performance practice (about which little was known, but was then being uncovered, through the work of scholars such as Girolamo Mei and Giangiorgio Trissino). At some time in the 1530s or early 1540s, he went to Ferrara, which was to become the center for experimental secular music in Italy from the middle to the end of the 16th century. Apparently, he served as a music tutor to the Duke of Ferrara and some of his family members in the House of Este, and some of Vincentino's music was sung at the court of Ferra ...
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Archicembalo
The archicembalo (or arcicembalo, ) was a musical instrument described by Nicola Vicentino in 1555. This was a harpsichord built with many extra keys and strings, enabling experimentation in microtonality and just intonation. Construction The archicembalo had two manuals, but unlike those on a normal harpsichord these two keyboards were used to provide extra pitches rather than a timbral difference. Both manuals contained all of the usual white and black keys, but in addition each black key was divided into two parts so that a distinction could be made between a sharp or flat note. The lower manual also included black keys between B and C, and between E and F. In total, 36 keys were available in any octave, each of which was tuned to a different pitch, as shown in the diagram of thlower manual Tuning There were two systems of tuning the archicembalo considered by Vicentino: # The most important was the extended quarter-comma meantone temperament—which, given such a wide g ...
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Manual (music)
A manual is a musical keyboard designed to be played with the hands, on an instrument such as a pipe organ, harpsichord, clavichord, electronic organ, melodica, or synthesizer. The term "manual" is used with regard to any hand keyboard on these instruments to distinguish it from the pedalboard, which is a keyboard that the organist plays with their feet. It is proper to use "manual" rather than "keyboard", then, when referring to the hand keyboards on any instrument that has a pedalboard. Music written to be played only on the manuals (instead of using the pedals) can be designated by manualiter (first attested in 1511, but particularly common in the 17th and 18th centuries). Overview Organs and synthesizers can, and usually do, have more than one manual; most home instruments have two manuals, while most larger organs have two or three. Elaborate pipe organs and theater organs can have four or more manuals. The manuals are set into the organ console (or "keydesk"). The lay ...
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Split Sharp
A split sharp is a kind of key found in some early keyboard instruments, such as the harpsichord, clavichord, or organ. It is a musical key divided in two, with separately depressible front and back sections, each sounding its own pitch. The particular keys that were split were those that play the sharps and flats on the standard musical keyboard (the "black keys" on a modern piano). Split sharps served two distinct purposes. First, in the broken octave, they allowed an instrument to include deep bass notes while retaining a short, compact keyboard. Second, in older music, tuning was generally not done by equal temperament, which treats note pairs such as A and B as the same pitch. Instead, they were assigned slightly different pitches on enharmonic keyboards (particularly in "meantone temperament"). This allowed certain musical intervals, such as the major third, to sound closer to their ideal just value, hence more closely tuned to just intonation. Split sharps prese ...
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Enharmonic Keyboard
An enharmonic keyboard is a musical keyboard, where enharmonically equivalent notes do not have identical pitches. A conventional keyboard has, for instance, only one key and pitch for C and D , but an enharmonic keyboard would have two different keys and pitches for these notes. Traditionally, such keyboards use black split keys to express both notes, but ''diatonic'' white keys may also be split. As an important device to compose, play and study enharmonic music, enharmonic keyboards are capable of producing microtones and have separate keys for at least some pairs of not equal pitches that must be enharmonically equal in conventional keyboard instruments. The term (divergence of scholar opinions) "Enharmonic keyboard" is a term used by scholars in their studies of enharmonic keyboard instruments ( organ, harpsichord, piano, harmonium and synthesizer) with reference to a keyboard with more than 12 keys per octave. Scholarly consensus about the term's precise definition curr ...
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Modulation (music)
In music, modulation is the change from one tonality ( tonic, or tonal center) to another. This may or may not be accompanied by a change in key signature (a key change). Modulations articulate or create the structure or form of many pieces, as well as add interest. Treatment of a chord as the tonic for less than a phrase is considered tonicization. Requirements * Harmonic: quasi- tonic, modulating dominant, pivot chordForte (1979), p. 267. *Melodic: recognizable segment of the scale of the quasi-tonic or strategically placed leading-tone *Metric and rhythmic: quasi-tonic and modulating dominant on metrically accented beats, prominent pivot chord The quasi-tonic is the tonic of the new key established by the modulation was semi. The modulating dominant is the dominant of the quasi-tonic. The pivot chord is a predominant to the modulating dominant and a chord common to both the keys of the tonic and the quasi-tonic. For example, in a modulation to the dominant, ii/V–V/V– ...
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Transposition (music)
In music, transposition refers to the process or operation of moving a collection of notes ( pitches or pitch classes) up or down in pitch by a constant interval. For example, one might transpose an entire piece of music into another key. Similarly, one might transpose a tone row or an unordered collection of pitches such as a chord so that it begins on another pitch. The transposition of a set ''A'' by ''n'' semitones is designated by ''T''''n''(''A''), representing the addition ( mod 12) of an integer ''n'' to each of the pitch class integers of the set ''A''. Thus the set (''A'') consisting of 0–1–2 transposed by 5 semitones is 5–6–7 (''T''5(''A'')) since , , and . Scalar transpositions In scalar transposition, every pitch in a collection is shifted up or down a fixed number of scale steps within some scale. The pitches remain in the same scale before and after the shift. This term covers both chromatic and diatonic transpositions as follows. Chromatic transpo ...
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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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Mode (music)
In music theory, the term mode or ''modus'' is used in a number of distinct senses, depending on context. Its most common use may be described as a type of musical scale coupled with a set of characteristic melodic and harmonic behaviors. It is applied to major and minor keys as well as the seven diatonic modes (including the former as Ionian and Aeolian) which are defined by their starting note or tonic. ( Olivier Messiaen's modes of limited transposition are strictly a scale type.) Related to the diatonic modes are the eight church modes or Gregorian modes, in which authentic and plagal forms of scales are distinguished by ambitus and tenor or reciting tone. Although both diatonic and gregorian modes borrow terminology from ancient Greece, the Greek ''tonoi'' do not otherwise resemble their mediaeval/modern counterparts. In the Middle Ages the term modus was used to describe both intervals and rhythm. Modal rhythm was an essential feature of the modal notation system ...
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Consonance And Dissonance
In music, consonance and dissonance are categorizations of simultaneous or successive Sound, 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' ...
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