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Equal temperament

An equal temperament is a musical temperament, or a system of tuning, in which every pair of adjacent pitches is separated by the same interval. [1]

144 relations: A (musical note), A440 (pitch standard), A♭ (musical note), A♯ (musical note), Adriaan Fokker, Alpha scale, Andreas Werckmeister, Angelo Michele Bartolotti, Arab tone system, Aristoxenus, Arithmetic progression, Atonality, B (musical note), B♭ (musical note), Beauty in the Beast, Beta scale, Bohlen–Pierce scale, C (musical note), Carl Philipp Emanuel Bach, C♯ (musical note), Cent (music), Christiaan Huygens, Circle of fifths, Classical music, Colin McPhee, Consonance and dissonance, D (musical note), D♭ (musical note), D♯ (musical note), Diatonic and chromatic, E (musical note), E♭ (musical note), Edwin Mellen Press, Electronic tuner, Enharmonic, Equal temperament, Ethnomusicology, F (musical note), F♯ (musical note), Fraction (mathematics), Francesco Geminiani, Francesco Spinacino, Frequency, Fret, Fronimo Dialogo, G (musical note), Galileo Galilei, Gamelan, Gamma scale, G♭ (musical note), ..., G♯ (musical note), Generalized continued fraction, Geometric progression, Gioseffo Zarlino, Girolamo Frescobaldi, Girolamo Scotto, Giuseppe Tartini, Guangzhou, Henricus Grammateus, Hermann von Helmholtz, Hertz, Integer, Interval (music), Interval ratio, Isomorphic keyboard, Jaap Kunst, Jazz, Joe Maneri, Johann Faulhaber, Johann Gottfried Müthel, Johann Sebastian Bach, John Wilson (composer), Just intonation, Keyboard instrument, Limit (music), Ling Lun, List of meantone intervals, Logarithm, Logarithmic scale, Lute, Mantle Hood, Marin Mersenne, Matteo Ricci, Michael Tenzer, Microtonal music, Microtuner, MIDI, Ming dynasty, Modular arithmetic, Modulation (music), Music and mathematics, Music of China, Music of Thailand, Music of Turkey, Musical acoustics, Musical temperament, Musical tuning, Octave, Passacaglia, Pelog, Perfect fifth, Piano tuning, Pitch (music), Pitch class, Polemic, Polytonality, Porto, Pseudo-octave, Pythagorean tuning, Quarter tone, Ratio, Ricercar, Samuel Sebastian Wesley, Schismatic temperament, Semitone, Serialism, Simon Stevin, Slendro, Society of Jesus, Southern and Northern Dynasties, Syntonic comma, Syntonic temperament, The Well-Tempered Clavier, Trombone, Twelfth root of two, Twelve-tone technique, Victor-Charles Mahillon, Vincenzo Galilei, Well temperament, Wendy Carlos, Western world, Wilhelm Friedemann Bach, Wind instrument, Wolfram Alpha, Zhu Zaiyu, 15 equal temperament, 17 equal temperament, 19 equal temperament, 22 equal temperament, 31 equal temperament, 34 equal temperament, 41 equal temperament, 53 equal temperament, 72 equal temperament. Expand index (94 more) »

A (musical note)

La or A is the sixth note of the fixed-Do solfège.

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A440 (pitch standard)

A440 or A4, which has a frequency of 440 Hz, is the musical note A above middle C and serves as a general tuning standard for musical pitch.

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A♭ (musical note)

A (A-flat; also called la bémol) is the ninth semitone of the solfège.

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A♯ (musical note)

A (A-sharp), or La Dièse, is the eleventh semitone of the solfege.

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Adriaan Fokker

Adriaan Daniël Fokker (17 August 1887 – 24 September 1972) was a Dutch physicist and musician.

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Alpha scale

The α (alpha) scale is a non-octave-repeating musical scale.

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Andreas Werckmeister

Andreas Werckmeister (November 30, 1645 – October 26, 1706) was an organist, music theorist, and composer of the Baroque era.

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Angelo Michele Bartolotti

Angelo Michele Bartolotti (died before 1682) was an Italian guitarist, theorbo player and composer.

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Arab tone system

The modern Arab tone system, or system of musical tuning, is based upon the theoretical division of the octave into twenty-four equal divisions or 24-tone equal temperament (24-TET), the distance between each successive note being a quarter tone (50 cents).

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Aristoxenus

Aristoxenus of Tarentum (Ἀριστόξενος; - b. about 375, fl. 335 BCE) was a Greek Peripatetic philosopher, and a pupil of Aristotle.

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Arithmetic progression

In mathematics, an arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

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Atonality

Atonality in its broadest sense is music that lacks a tonal center, or key.

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B (musical note)

B, also known as Si, Ti, or, in some European countries, H, is the seventh note of the fixed-Do solfège.

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B♭ (musical note)

B (B-flat; also called si bémol) is the eleventh semitone of the Western chromatic scale (starting from C).

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Beauty in the Beast

Beauty in the Beast (1986/2000) is an album by Wendy Carlos using alternate tunings and scales and influenced by jazz and world music.

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Beta scale

The β (beta) scale is a non-octave-repeating musical scale.

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Bohlen–Pierce scale

The Bohlen–Pierce scale (BP scale) is a musical tuning and scale, first described in the 1970s, that offers an alternative to the octave-repeating scales typical in Western and other musics, specifically the equal tempered diatonic scale.

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C (musical note)

In terms of musical pitch, C or Do is the first note of the fixed-Do solfège scale.

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Carl Philipp Emanuel Bach

Carl Philipp Emanuel Bach (8 March 1714 – 14 December 1788) was a German Classical period musician and composer, the fifth child and second (surviving) son of Johann Sebastian Bach and Maria Barbara Bach.

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C♯ (musical note)

C (C-sharp) is a musical note lying a chromatic semitone above C and a diatonic semitone below D. C-sharp is thus enharmonic to flat.

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Cent (music)

The cent is a logarithmic unit of measure used for musical intervals.

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Christiaan Huygens

Christiaan Huygens, FRS (Hugenius) (14 April 1629 – 8 July 1695) was a prominent Dutch mathematician and scientist.

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Circle of fifths

In music theory, the circle of fifths (or circle of fourths) is a visual representation of the relationships among the 12 tones of the chromatic scale, their corresponding key signatures, and the associated major and minor keys.

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Classical music

Classical music is art music produced or rooted in the traditions of Western music, including both liturgical (religious) and secular music.

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Colin McPhee

Colin McPhee (March 15, 1900 – January 7, 1964) was a Canadian composer and musicologist.

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Consonance and dissonance

In music, consonance and dissonance form a structural dichotomy in which the terms define each other by mutual exclusion: a consonance is what is not dissonant, and reciprocally.

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D (musical note)

D is a musical note a whole tone above C, and is known as Re within the fixed-Do solfege system.

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D♭ (musical note)

D (D-flat) is a musical note lying a diatonic semitone above C and a chromatic semitone below D. It is thus enharmonic to sharp.

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D♯ (musical note)

D (D-sharp) or Re Dièse is the fourth semitone of the solfege.

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Diatonic and chromatic

Diatonic (διατονική) and chromatic (χρωματική) are terms in music theory that are most often used to characterize scales, and are also applied to musical instruments, intervals, chords, notes, musical styles, and kinds of harmony.

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E (musical note)

E is the third note of the C major scale, and mi in fixed-do solfège.

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E♭ (musical note)

E (E-flat) or mi bémol is the fourth semitone of the solfege.

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Edwin Mellen Press

The Edwin Mellen Press is a Lewiston, New York-based publishing house founded by religion scholar Herbert Richardson.

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Electronic tuner

In music, an electronic tuner is a device that detects and displays the pitch of musical notes.

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Enharmonic

In modern musical notation and tuning, an enharmonic equivalent is a note, interval, or key signature that is equivalent to some other note, interval, or key signature but "spelled", or named differently.

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Equal temperament

An equal temperament is a musical temperament, or a system of tuning, in which every pair of adjacent pitches is separated by the same interval.

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Ethnomusicology

Ethnomusicology is an area of study encompassing various approaches to the study of the many musics around the world that emphasize their cultural, social, material, cognitive, biological, and other dimensions or contexts instead of or in addition to its isolated sound component or any particular repertoire.

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F (musical note)

F is a musical note, the fourth above C. It is also known as fa in fixed-do solfège.

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F♯ (musical note)

F♯ (eff-sharp or F-sharp; also known as fa dièse or fi) is the seventh semitone of the solfège.

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Fraction (mathematics)

A fraction (from fractus, "broken") represents a part of a whole or, more generally, any number of equal parts.

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Francesco Geminiani

Francesco Geminiani. Francesco Saverio Geminiani (baptised 5 December 1687 – 17 September 1762) was an Italian violinist, composer, and music theorist.

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Francesco Spinacino

Francesco Spinacino (fl. 1507) was an Italian lutenist and composer.

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Frequency

Frequency is the number of occurrences of a repeating event per unit time.

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Fret

A fret is a raised element on the neck of a stringed instrument.

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Fronimo Dialogo

The Fronimo Dialogo di Vincentio Galilei (Vincenzo Galilei) is an instructional book on playing, composing and intabulating vocal music for the lute.

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G (musical note)

Sol, So, or G is the fifth note of the fixed-Do solfège starting on C. As such it is the dominant, a perfect fifth above C or perfect fourth below C. When calculated in equal temperament with a reference of A above middle C as 440 Hz, the frequency of Middle G (G4) note is approximately 391.995 Hz.

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Galileo Galilei

Galileo Galilei (15 February 1564Drake (1978, p. 1). The date of Galileo's birth is given according to the Julian calendar, which was then in force throughout the whole of Christendom. In 1582 it was replaced in Italy and several other Catholic countries with the Gregorian calendar. Unless otherwise indicated, dates in this article are given according to the Gregorian calendar. – 8 January 1642), was an Italian astronomer, physicist, engineer, philosopher, and mathematician who played a major role in the scientific revolution during the Renaissance.

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Gamelan

Gamelan is the traditional ensemble music of Java and Bali in Indonesia, made up predominantly of percussive instruments.

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Gamma scale

The γ (gamma) scale is a non-octave repeating musical scale.

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G♭ (musical note)

G (G-flat) or Sol Bémol is the seventh semitone of the solfege.

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G♯ (musical note)

G♯ (G-sharp) or Sol Dièse is the ninth semitone of the solfege.

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Generalized continued fraction

In complex analysis, a branch of mathematics, a generalized continued fraction is a generalization of regular continued fractions in canonical form, in which the partial numerators and partial denominators can assume arbitrary real or complex values.

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Geometric progression

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

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Gioseffo Zarlino

Gioseffo Zarlino (31 January or 22 March 1517 – 4 February 1590) was an Italian music theorist and composer of the Renaissance.

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Girolamo Frescobaldi

Girolamo Alessandro Frescobaldi (also Gerolamo, Girolimo, and Geronimo Alissandro; September, 15831 March 1643) was a musician from Ferrara, one of the most important composers of keyboard music in the late Renaissance and early Baroque periods.

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Girolamo Scotto

Girolamo Scotto (Hieronymus Scotus; also Gerolamo) (c.1505 – 3 September 1572) was an Italian printer, composer, businessman and bookseller of the Renaissance, active mainly in Venice.

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Giuseppe Tartini

Giuseppe Tartini (8 April 1692 – 26 February 1770) was an Italian Baroque composer and violinist.

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Guangzhou

Guangzhou (Mandarin 廣州 Guǎngzhōu, also known as Canton, and less commonly as Kwangchow)"".

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Henricus Grammateus

Henricus Grammateus (also known as Henricus Scriptor, Heinrich Schreyber or Heinrich Schreiber; 1495 – 1525 or 1526) was a German mathematician.

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Hermann von Helmholtz

Hermann Ludwig Ferdinand von Helmholtz (August 31, 1821 – September 8, 1894) was a German physician and physicist who made significant contributions to several widely varied areas of modern science.

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Hertz

The hertz (symbol Hz) is the unit of frequency in the International System of Units (SI) and is defined as one cycle per second.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first, literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Interval (music)

In music theory, an interval is the difference between two pitches.

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Interval ratio

In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval.

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Isomorphic keyboard

An isomorphic keyboard is a musical input device consisting of a two-dimensional grid of note-controlling elements (such as buttons or keys) on which any given sequence and/or combination of musical intervals has the "same shape" on the keyboard wherever it occurs – within a key, across keys, across octaves, and across tunings.

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Jaap Kunst

Jaap (or Jakob) Kunst (12 August 1891 in Groningen – 7 December 1960 in Amsterdam) was a Dutch ethnomusicologist, particularly associated with the study of gamelan music of Indonesia.

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Jazz

Jazz is a genre of music that originated in African American communities in the United States in the late 19th and early 20th century.

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Joe Maneri

Joseph Gabriel Esther "Joe" Maneri (February 9, 1927 – August 24, 2009), was an American jazz composer, saxophone and clarinet player.

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Johann Faulhaber

Johann Faulhaber (5 May 1580 – 10 September 1635) was a German mathematician.

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Johann Gottfried Müthel

Johann Gottfried Müthel (January 17, 1728 – July 14, 1788) was a German composer and noted keyboard virtuoso.

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Johann Sebastian Bach

Johann Sebastian Bach (28 July 1750) was a German composer and musician of the Baroque period.

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John Wilson (composer)

John Wilson (5 April 1595 – 22 February 1674), was an English composer, lutenist and teacher.

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Just intonation

In music, just intonation (sometimes abbreviated as JI) or pure intonation is any musical tuning in which the frequencies of notes are related by ratios of small whole numbers.

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Keyboard instrument

A keyboard instrument is a musical instrument played using a keyboard.

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Limit (music)

In music theory, limit or harmonic limit is 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.

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Ling Lun

Ling Lun is the legendary founder of music in ancient China.

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List of meantone intervals

The following is a list of intervals of extended meantone temperament.

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Logarithm

In mathematics, the logarithm is the inverse operation to exponentiation.

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Logarithmic scale

A logarithmic scale is a nonlinear scale used when there is a large range of quantities.

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Lute

Lute can refer generally to any string instrument having the strings running in a plane parallel to the sound table (in the Hornbostel–Sachs system), more specifically to any plucked string instrument with a neck (either fretted or unfretted) and a deep round back, or more specifically to an instrument from the family of European lutes.

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Mantle Hood

Mantle Hood (June 24, 1918 – July 31, 2005) was an American ethnomusicologist.

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Marin Mersenne

Marin Mersenne, Marin Mersennus or le Père Mersenne (8 September 1588 – 1 September 1648) was a French theologian, philosopher, mathematician and music theorist, often referred to as the "father of acoustics".

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Matteo Ricci

Matteo Ricci, S.J. (October 6, 1552 – May 11, 1610), was an Italian Jesuit priest and one of the founding figures of the Jesuit China missions.

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Michael Tenzer

Michael Tenzer (born 1957) is a composer, performer, and music educator and scholar.

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Microtonal music

Microtonal music or microtonality is the use in music of microtones—intervals smaller than a semitone, which are also called "microintervals".

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Microtuner

A microtuner or microtonal tuner is an electronic device or software program designed to modify and test the tuning of musical instruments (in particular synthesizers) with microtonal precision, allowing for the design and construction of microtonal scales and just intonation scales, and for tuning intervals that may differ from those of common Western equal temperament.

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MIDI

MIDI (short for Musical Instrument Digital Interface) is a technical standard that describes a protocol, digital interface and connectors and allows a wide variety of electronic musical instruments, computers and other related devices to connect and communicate with one another.

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Ming dynasty

The Ming dynasty, or the Great Ming, also called the Empire of the Great Ming, was the ruling dynasty of China for 276 years (1368–1644) following the collapse of the Mongol-led Yuan dynasty.

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Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus.

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Modulation (music)

In music, modulation is most commonly the act or process of changing from one key (tonic, or tonal center) to another.

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Music and mathematics

Music theorists sometimes use mathematics to understand music, and although music has no axiomatic foundation in modern mathematics, mathematics is "the basis of sound" and sound itself "in its musical aspects...

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Music of China

Music of China refers to the music of the Chinese people, which may be the music of the Han Chinese as well as other ethnic minorities within mainland China.

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Music of Thailand

The music of Thailand reflects its geographic position at the intersection of China and India, and reflects trade routes that have historically included Persia, Africa, Greece and Rome.

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Music of Turkey

The music of Turkey includes diverse elements ranging from Central Asian folk music to influences from Arabic music, Byzantine music, Greek music, Ottoman music, Persian music, Armenian music, and Balkan music, as well as references to more modern European and American popular music.

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Musical acoustics

Musical acoustics or music acoustics is the branch of acoustics concerned with researching and describing the physics of music – how sounds are employed to make music.

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Musical temperament

In musical tuning, a temperament is a system of tuning which slightly compromises the pure intervals of just intonation in order to meet other requirements of the system.

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Musical tuning

In music, there are two common meanings for tuning.

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Octave

In music, an octave (octavus: eighth) or perfect octave is the interval between one musical pitch and another with half or double its frequency.

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Passacaglia

The passacaglia is a musical form that originated in early seventeenth-century Spain and is still used today by composers.

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Pelog

Pelog is one of the two essential scales of gamelan music native to Bali and Java, in Indonesia.

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Perfect fifth

In music theory, a perfect fifth is the musical interval corresponding to a pair of pitches with a frequency ratio of 3:2, or very nearly so.

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Piano tuning

Piano tuning is the act of making minute adjustments to the tensions of the strings of an acoustic piano to properly align the intervals between their tones so that the instrument is in tune.

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Pitch (music)

Pitch is a perceptual property of sounds that allows their ordering on a frequency-related scale, or more commonly, pitch is the quality that makes it possible to judge sounds as "higher" and "lower" in the sense associated with musical melodies.

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Pitch class

In music, a pitch class (p.c. or pc) is a set of all pitches that are a whole number of octaves apart, e.g., the pitch class C consists of the Cs in all octaves.

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Polemic

A polemic is a contentious argument that is intended to affirm a specific understanding via attacks on a contrary position.

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Polytonality

Polytonality (also polyharmony) is the musical use of more than one key simultaneously.

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Porto

Porto, also known as Oporto in English, is the second-largest city in Portugal, after Lisbon, and one of the major urban areas in Southwestern Europe.

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Pseudo-octave

A pseudo-octave, pseudooctave,"Interview with Max Mathews", p.21.

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Pythagorean tuning

Pythagorean tuning (Πυθαγόρεια κλίμακα) is a 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.

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Quarter tone

A quarter tone, is a pitch halfway between the usual notes of a chromatic scale or an interval about half as wide (aurally, or logarithmically) as a semitone, which is half a whole tone.

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Ratio

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.

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Ricercar

A ricercar (also spelled ricercare, recercar, recercare) is a type of late Renaissance and mostly early Baroque instrumental composition.

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Samuel Sebastian Wesley

Samuel Sebastian Wesley (14 August 1810 – 19 April 1876) was an English organist and composer.

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Schismatic temperament

A schismatic temperament is a musical tuning system that results from tempering the schisma of 32805:32768 (1.9537 cents) to a unison.

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Semitone

A semitone, also called a half step or a half tone, is the smallest musical interval commonly used in Western tonal music, and it is considered the most dissonant when sounded harmonically.

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Serialism

In music, serialism is a method or technique of composition that uses a series of values to manipulate different musical elements.

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Simon Stevin

Simon Stevin (1548 – 1620) was a Flemish mathematician, physicist and military engineer.

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Slendro

Slendro (called salendro by the Sundanese) is a pentatonic scale, the older of the two most common scales (laras) used in Indonesian gamelan music, the other being pélog.

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Society of Jesus

The Society of Jesus (Societas Iesu, S.J., SJ or SI) is a male religious congregation of the Catholic Church.

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Southern and Northern Dynasties

The Southern and Northern Dynasties was a period in the history of China that lasted from 420 to 589.

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Syntonic comma

In music theory, the syntonic comma, also known as the chromatic diesis, the comma of Didymus, the Ptolemaic comma, or the diatonic comma is a small comma type interval between two musical notes, equal to the frequency ratio 81:80 (around 21.51 cents).

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Syntonic temperament

The syntonic temperament is a system of musical tuning in which the frequency ratio of each musical interval is a product of powers of an octave and a tempered perfect fifth, with the width of the tempered major third being equal to four tempered perfect fifths minus two octaves and the width of the tempered major second being equal to two tempered perfect fifths minus one octave (i.e., half the width of the major third).

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The Well-Tempered Clavier

The Well-Tempered Clavier, BWV 846–893, is a collection of solo keyboard music composed by Johann Sebastian Bach.

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Trombone

The trombone is a musical instrument in the brass family.

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Twelfth root of two

The twelfth root of two or \sqrt is an algebraic irrational number.

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Twelve-tone technique

Twelve-tone technique—also known as dodecaphony, twelve-tone serialism, and (in British usage) twelve-note composition—is a method of musical composition devised by Austrian composer Arnold Schoenberg (1874–1951).

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Victor-Charles Mahillon

Victor-Charles Mahillon (March 10, 1841 in Brussels – June 17, 1924 in Saint-Jean-Cap-Ferrat, France) was a Belgian musician and writer on musical topics.

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Vincenzo Galilei

Vincenzo Galilei (ca. 1520 – 2 July 1591) was an Italian lutenist, composer, and music theorist, and the father of the famous astronomer and physicist Galileo Galilei and of the lute virtuoso and composer Michelagnolo Galilei.

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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.

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Wendy Carlos

Wendy Carlos (born Walter Carlos; November 14, 1939) is an American composer and performer, known for her use of electronic instruments to play classical music, and for her film scores.

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Western world

The Western world, also known as the West and the Occident (from Latin: occidens "sunset, West"; as contrasted with the Orient), is a term referring to different nations depending on the context.

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Wilhelm Friedemann Bach

Wilhelm Friedemann Bach (22 November 1710 – 1 July 1784), the second child and eldest son of Johann Sebastian Bach and Maria Barbara Bach, was a German composer and performer.

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Wind instrument

A wind instrument is a musical instrument that contains some type of resonator (usually a tube), in which a column of air is set into vibration by the player blowing into (or over) a mouthpiece set at the end of the resonator.

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Wolfram Alpha

Wolfram Alpha (also styled WolframAlpha and Wolfram|Alpha) is a computational knowledge engine or answer engine developed by Wolfram Research.

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Zhu Zaiyu

Zhu Zaiyu (1536 - 19 May 1611) was a prince of the Ming dynasty of China.

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15 equal temperament

In music, 15 equal temperament, called 15-TET, 15-EDO, or 15-ET, is the tempered scale derived by dividing the octave into 15 equal steps (equal frequency ratios).

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17 equal temperament

In music, 17 tone equal temperament is the tempered scale derived by dividing the octave into 17 equal steps (equal frequency ratios).

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19 equal temperament

In music, 19 equal temperament, called 19-TET, 19-EDO ("Equal Division of the Octave"), or 19-ET, is the tempered scale derived by dividing the octave into 19 equal steps (equal frequency ratios).

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22 equal temperament

In music, 22 equal temperament, called 22-tet, 22-edo, or 22-et, is the tempered scale derived by dividing the octave into 22 equal steps (equal frequency ratios).

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31 equal temperament

In music, 31 equal temperament, 31-ET, which can also be abbreviated 31-TET, 31-EDO (equal division of the octave), also known as tricesimoprimal, is the tempered scale derived by dividing the octave into 31 equal-sized steps (equal frequency ratios).

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34 equal temperament

In musical theory, 34 equal temperament, also referred to as 34-tet, 34-edo or 34-et, is the tempered tuning derived by dividing the octave into 34 equal-sized steps (equal frequency ratios).

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41 equal temperament

In music, 41 equal temperament, abbreviated 41-tET, 41-EDO, or 41-ET, is the tempered scale derived by dividing the octave into 41 equally sized steps (equal frequency ratios).

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53 equal temperament

In music, 53 equal temperament, called 53-TET, 53-EDO, or 53-ET, is the tempered scale derived by dividing the octave into 53 equal steps (equal frequency ratios).

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72 equal temperament

In music, 72 equal temperament, called twelfth-tone, 72-tet, 72-edo, or 72-et, is the tempered scale derived by dividing the octave into twelfth-tones, or in other words 72 equal steps (equal frequency ratios).

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References

[1] https://en.wikipedia.org/wiki/Equal_temperament

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