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In musical terminology , tempo (Italian for 'time'; plural 'tempos', or tempi from the Italian plural), also known as beats per minute , is the speed or pace of a given composition . In classical music, tempo is typically indicated with an instruction at the start of a piece (often using conventional Italian terms) and is usually measured in beats per minute (BPM). In modern classical compositions, a " metronome mark" in beats per minute may supplement or replace the normal tempo marking, while in modern genres like electronic dance music , tempo will typically simply be stated in BPM.

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123-418: Tempo may be separated from articulation and meter , or these aspects may be indicated along with tempo, all contributing to the overall texture . While the ability to hold a steady tempo is a vital skill for a musical performer, tempo is changeable. Depending on the genre of a piece of music and the performers' interpretation, a piece may be played with slight tempo rubato or drastic variances. In ensembles,

246-440: A broader range of European culture. In addition to singing in the choir, he played the school's three-manual organ and harpsichords . He also came into contact with sons of aristocrats from northern Germany who had been sent to the nearby Ritter-Academie to prepare for careers in other disciplines. In January 1703, shortly after graduating from St. Michael's and being turned down for the post of organist at Sangerhausen , Bach

369-486: A cantata, BWV 191 from his 1733 Kyrie-Gloria Mass for the Dresden court in the mid-1740s, Bach expanded that setting into his Mass in B minor in the last years of his life. The complete mass was not performed during his lifetime. It is considered among the greatest choral works in history. In January 1749, Bach's daughter Elisabeth Juliane Friederica married his pupil Johann Christoph Altnickol . Bach's health

492-426: A change should be (see common qualifiers ). After a tempo change, a composer may return to a previous tempo in two ways: These terms also indicate an immediate, not a gradual, tempo change. Although they are Italian, composers tend to employ them even if they have written their initial tempo marking in another language. One difficulty in defining tempo is the dependence of its perception on rhythm, and, conversely,

615-560: A charlatan and believed to have blinded hundreds of people. Bach died on 28 July 1750 from complications due to the unsuccessful treatment. An inventory drawn up a few months after Bach's death shows that his estate included five harpsichords , two lute-harpsichords , three violins , three violas , two cellos , a viola da gamba , a lute , a spinet , and 52 "sacred books", including works by Martin Luther and Josephus . C.P.E. Bach saw to it that The Art of Fugue , though unfinished,

738-679: A church cantata monthly in the castle church. The first three cantatas in the new series Bach composed in Weimar were Himmelskönig, sei willkommen , BWV 182 , for Palm Sunday , which coincided with the Annunciation that year; Weinen, Klagen, Sorgen, Zagen , BWV 12 , for Jubilate Sunday ; and Erschallet, ihr Lieder, erklinget, ihr Saiten!   BWV 172 for Pentecost . Bach's first Christmas cantata, Christen, ätzet diesen Tag , BWV 63 , premiered in 1714 or 1715. In 1717, Bach fell out of favour in Weimar and, according to

861-430: A complete change of tempo, often by using a double bar and introducing a new tempo indication, often with a new time signature and/or key signature . It is also possible to indicate a more or less gradual change in tempo, for instance with an accelerando (speeding up) or ritardando ( rit ., slowing down) marking. Indeed, some compositions chiefly comprise accelerando passages, for instance Monti's Csárdás , or

984-495: A composition. He chose his Canonic Variations on "Vom Himmel hoch da komm' ich her" , and a portrait painted by Elias Gottlob Haussmann that featured Bach's Canon triplex á 6 Voc . In May 1747, Bach visited the court of King Frederick II of Prussia in Potsdam . The king played a theme for Bach and challenged him to improvise a fugue based on it. Bach obliged, playing a three-part fugue on one of Frederick's fortepianos ,

1107-568: A considerable shift with regards to the tempi, in beats per minute, that they are required to express: A modern Largo is slower than Adagio , but in the Baroque period it was faster. Several composers have written markings in French, among them baroque composers François Couperin and Jean-Philippe Rameau as well as Claude Debussy , Olivier Messiaen , Maurice Ravel and Alexander Scriabin . Common tempo markings in French are: Erik Satie

1230-464: A dotted or dashed line drawn to the end of the group of notes that are to be played dampened. The technique is chiefly written for bowed or plucked instruments. Modernists refer to the 'apogado' (slightly different spelling) as "palm mute". On the guitar, the musician dampens the strings with the palm of the hand and plucks with the thumb. Strictly speaking, the term dampened is correct for this effect in music; since to mute means to silence. Illustration of

1353-457: A festive cantata for the inauguration of the new council , which was published at the council's expense. Bach left Mühlhausen in 1708, returning to Weimar this time as organist and from 1714 Konzertmeister (director of music) at the ducal court, where he could work with a large, well-funded contingent of professional musicians. Bach and his wife moved into a house near the ducal palace. Later that year, their first child, Catharina Dorothea,

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1476-608: A large extent he defined it. Fugues are as characteristic of Bach's style as, for instance, sonata form is of the composers of the Classical period . These strictly contrapuntal compositions, and most of Bach's music in general, are characterised by distinct melodic lines for each voice, where the chords formed by the notes sounding at a given point follow the rules of four-part harmony. Johann Nikolaus Forkel , Bach's first biographer, gives this description of this feature of Bach's music, which sets it apart from most other music: If

1599-477: A mood indication ("agitated"). Often, composers (or music publishers ) name movements of compositions after their tempo (or mood) marking. For instance, the second movement of Samuel Barber 's first String Quartet is an Adagio . Here follows a list of common tempo markings. The beats per minute (bpm) values are very rough approximations for 4 time, and vary widely according to composers and works. A metronome marking cannot be deduced from one of

1722-608: A much better and newer (1716) organ than the St. Thomas Church or the St. Nicholas Church. Bach was not required to play any organ in his official duties, but it is believed he liked to play on the St. Paul's Church organ for his own pleasure. Bach broadened his composing and performing beyond the liturgy by taking over, in March 1729, the directorship of the Collegium Musicum , a secular performance ensemble Telemann started. This

1845-792: A musician for Protestant churches in Arnstadt and Mühlhausen and, for longer periods, at courts in Weimar , where he expanded his organ repertory, and Köthen , where he was mostly engaged with chamber music . In 1723, he was hired as Thomaskantor ( cantor at St Thomas's ) in Leipzig . There, he composed music for the principal Lutheran churches of the city and its university's student ensemble Collegium Musicum . In 1726, he began publishing his keyboard and organ music. In Leipzig, as had happened during some of his earlier positions, he had difficult relations with his employer. This situation

1968-501: A musician, Leopold appreciated Bach's talents, paid him well, and gave him considerable latitude in composing and performing. Leopold was a Calvinist and did not use elaborate music in his worship; accordingly, most of Bach's work from this period is secular, including the orchestral suites , cello suites , sonatas and partitas for solo violin , and the Brandenburg Concertos . Bach also composed secular cantatas for

2091-479: A new type of instrument at the time. Upon his return to Leipzig he composed a set of fugues and canons and a trio sonata based on the Thema Regium ("king's theme"). Within a few weeks this music was published as The Musical Offering and dedicated to Frederick. The Schübler Chorales , a set of six chorale preludes transcribed from cantata movements Bach had written two decades earlier, were published within

2214-704: A prelude and fugue in every major and minor key, displaying a dizzying variety of structural, contrapuntal and fugal techniques. Four-part harmony predates Bach, but he lived during a time when modal music in Western tradition was largely supplanted by the tonal system . In this system a piece of music progresses from one chord to the next according to certain rules, with each chord characterised by four notes. The principles of four-part harmony are found not only in Bach's four-part choral music; he also prescribes it for instance in figured bass accompaniment. The new system

2337-699: A prolonged absence from Arnstadt: after obtaining leave for four weeks, he was absent for around four months in 1705–1706 to take lessons from the organist and composer Johann Adam Reincken and to hear him and Dieterich Buxtehude play in the northern city of Lübeck . The visit to Buxtehude and Reincken involved a 450-kilometre (280 mi) journey each way, reportedly on foot. Buxtehude probably introduced Bach to his friend Reincken so that he could learn from his compositional technique (especially his mastery of fugue ), his organ playing and his skills with improvisation. Bach knew Reincken's music very well; he copied Reincken's monumental An Wasserflüssen Babylon when he

2460-436: A record on a turntable, the pitch and tempo of a track are linked: spinning a disc 10% faster makes both pitch and tempo 10% higher. Software processing to change the pitch without changing the tempo is called pitch-shifting . The opposite operation, changing the tempo without changing the pitch, is called time-stretching . Sources Articulation (music) Articulation is a musical parameter that determines how

2583-409: A set of traditional articulations that were standardized in the 19th century and remain widely used. Composers are not limited to these, however, and may invent new articulations as a piece requires. When writing electronic and computer music , composers can design articulations from the ground up. In addition to the following instructions given by composers, performers choose how to articulate

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2706-489: A single note or other discrete event is sounded. Articulations primarily structure an event's start and end, determining the length of its sound and the shape of its attack and decay . They can also modify an event's timbre , dynamics , and pitch . Musical articulation is analogous to the articulation of speech , and during the Baroque and Classical periods it was taught by comparison to oratory . Western music has

2829-455: A slur, the result is portato , also known as articulated legato. Tenuto markings under a slur are called (for bowed strings) hook bows. This name is also less commonly applied to staccato or martellato (martelé) markings. Apagados (from the Spanish verb apagar , "to mute") refers to notes that are played dampened or "muted", without sustain. The term is written above or below the notes with

2952-523: A soloist) with the orchestra in instrumental cantata movements, a decade before Handel published his first organ concertos. Apart from the 5th Brandenburg Concerto and the Triple Concerto , which already had harpsichord soloists in the 1720s, Bach wrote and arranged his harpsichord concertos in the 1730s, and in his sonatas for viola da gamba and harpsichord neither instrument plays a continuo part: they are treated as equal soloists, far beyond

3075-526: A speedy execution ( presto being faster), but allegro also connotes joy (from its original meaning in Italian). Presto , on the other hand, simply indicates speed. Additional Italian words also indicate tempo and mood. For example, the "agitato" in the Allegro agitato of the last movement of George Gershwin 's piano concerto in F has both a tempo indication (undoubtedly faster than a usual Allegro ) and

3198-548: A sustained period of composing keyboard and orchestral works. He attained the proficiency and confidence to extend the prevailing structures and include influences from abroad. He learned to write dramatic openings and employ the dynamic rhythms and harmonic schemes found in the music of Italians such as Vivaldi , Corelli , and Torelli . Bach absorbed these stylistic aspects to a certain extent by transcribing Vivaldi's string and wind concertos for harpsichord and organ; many of these transcribed works are still regularly performed. Bach

3321-573: A translation of the court secretary's report, was jailed for almost a month before being unfavorably dismissed: "On November 6, [1717,] the quondam [former] concertmaster and organist Bach was confined to the County Judge's place of detention for too stubbornly forcing the issue of his dismissal and finally on December 2 was freed from arrest with notice of his unfavorable discharge." Leopold, Prince of Anhalt-Köthen , hired Bach to serve as his Kapellmeister (director of music) in 1717. Himself

3444-418: A year. Around the same time, the set of five canonic variations Bach had submitted when entering Mizler's society in 1747 were also printed. Two large-scale compositions occupied a central place in Bach's last years. Beginning around 1742, he wrote and revised the various canons and fugues of The Art of Fugue , which he continued to prepare for publication until shortly before his death. After extracting

3567-458: Is a technique that DJs use that involves speeding up or slowing down a record (or CDJ player, a speed-adjustable CD player for DJ use) to match the tempo of a previous or subsequent track, so both can be seamlessly mixed. Having beatmatched two songs, the DJ can either seamlessly crossfade from one song to another, or play both tracks simultaneously, creating a layered effect. DJs often beatmatch

3690-461: Is a very different thing when two melodies are so interwoven that they converse together like two persons upon a footing of pleasant equality. In the first case, the accompaniment is subordinate and serves merely to support the first or principal part. In the second case, the two parts are not similarly related. New melodic combinations spring from their interweaving, out of which new forms of musical expression emerge. Suppose more parts are interwoven in

3813-425: Is achieved by moving the tip of the tongue up and down quickly to block the air stream momentarily on the way up, and again on the way down. Stringed instruments use different techniques such as bowing , picking , or a technique by plucking the strings with the hand. This technique is called pizzicato . String instruments use these methods to achieve different articulations, varying the speed, pressure, and angle of

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3936-539: Is customary to describe the tempo of a piece by one or more words, most commonly in Italian, in addition to or instead of a metronome mark in beats per minute. Italian is typically used because it was the language of most composers during the time these descriptions became commonplace in the Western musical lexicon. Some well-known Italian tempo indications include "Allegro" (English "Cheerful"), "Andante" ("Walking-pace") and "Presto" ("Quickly"). This practice developed during

4059-595: Is harmonically more innovative than his peers', employing surprisingly dissonant chords and progressions, often extensively exploring harmonic possibilities within one piece. Bach's hundreds of sacred works are usually seen as manifesting not just his craft but also a deep faith in God. He had taught Luther's Small Catechism as the Thomaskantor in Leipzig, and some of his pieces represent it. The Lutheran chorale

4182-447: Is important to DJs for the purposes of beatmatching . The speed of a piece of music can also be gauged according to measures per minute (mpm) or bars per minute (bpm), the number of measures of the piece performed in one minute. This measure is commonly used in ballroom dance music. In different musical contexts, different instrumental musicians, singers, conductors , bandleaders , music directors or other individuals will select

4305-562: Is indeed the most striking feature of articulation but is not its only one. Articulation describes the forming of a tone in all its facets. This also includes loudness, timbre, intonation, and envelope characteristics. A note is accented by a sort of triangle without its base. A musician using a string instrument would accent a note by playing the string harder and with more attack creating a louder sound. Occasionally, articulations can be combined to create stylistically or technically correct sounds. For example, when staccato marks are combined with

4428-459: Is still played. Although Bach wrote no operas, he was not averse to the genre or its ornamented vocal style. In church music, Italian composers had imitated the operatic vocal style in genres such as the Neapolitan mass . In Protestant surroundings, there was more reluctance to adopt such a style for liturgical music. Kuhnau had notoriously shunned opera and Italian virtuoso vocal music. Bach

4551-518: Is the interweaving of several melodies, which emerge now in the upper, now in the middle, and now in the lower parts. From 1720, when he was thirty-five until he died in 1750, Bach's harmony consists of this melodic interweaving of independent melodies, so perfect in their union that each part seems to constitute the true melody. Herein, Bach excels all the composers in the world. At least, I have found no one to equal him in music known to me. Even in his four-part writing, we can, not infrequently, leave out

4674-422: Is to be played 'fraternally'; "We Will All Go Together" is marked ' eschatologically '; and ' Masochism Tango ' has the tempo 'painstakingly'. His English contemporaries Flanders and Swann have similarly marked scores, with the music for their song "The Whale (Moby Dick)" shown as 'oceanlike and vast'. Tempo is not necessarily fixed. Within a piece (or within a movement of a longer work), a composer may indicate

4797-424: Is twice as rapid, signifying two beats every second. The note value of a beat will typically be that indicated by the denominator of the time signature . For instance, in 4 time, the beat will be a crotchet, or quarter note . This measurement and indication of tempo became increasingly popular during the first half of the 19th century, after Johann Nepomuk Maelzel invented the metronome . Beethoven

4920-547: The Bach-Werke-Verzeichnis (BWV, a numbered catalogue of his works) and new critical editions of his compositions. His music was further popularised through a multitude of arrangements , including the Air on the G String and " Jesu, Joy of Man's Desiring ", and of recordings, such as three different box sets with complete performances of his oeuvre marking the 250th anniversary of his death. Johann Sebastian Bach

5043-811: The Brandenburg Concertos ; solo instrumental works such as the cello suites and sonatas and partitas for solo violin ; keyboard works such as the Goldberg Variations and The Well-Tempered Clavier ; organ works such as the Schubler Chorales and the Toccata and Fugue in D minor ; and choral works such as the St ;Matthew Passion and the Mass in ;minor . Since the 19th century Bach Revival , he has been generally regarded as one of

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5166-579: The Little Organ Book , containing traditional Lutheran chorale tunes set in complex textures. In 1713, Bach was offered a post in Halle when he advised the authorities during a renovation by Christoph Cuntzius of the main organ in the west gallery of the Market Church of Our Dear Lady . In the spring of 1714, Bach was promoted to Konzertmeister , an honour that entailed performing

5289-567: The organ , and an older second cousin, Johann Ludwig Bach , was a well-known composer and violinist. Bach's mother died in 1694, and his father died eight months later. The 10-year-old Bach moved in with his eldest brother, Johann Christoph Bach , the organist at St. Michael's Church in Ohrdruf , Saxe-Gotha-Altenburg . There he studied, performed, and copied music, including his brother's, despite being forbidden to do so because scores were so valuable and private and blank ledger paper

5412-540: The Brandenburg Concertos and orchestral suites, many of Bach's newly composed or reworked pieces were performed for these venues, including parts of his Clavier-Übung ( Keyboard Practice ), his violin and keyboard concertos , and the Coffee Cantata . In 1733, Bach composed a Kyrie–Gloria Mass in B minor that he later incorporated in his Mass in B minor. He presented the manuscript to

5535-523: The Collegium Musicum gave two-hour performances, in winter at the Café Zimmermann , a coffeehouse on Catherine Street off the main market square, and in summer in the proprietor's outdoor coffee garden just outside the town walls, near the East Gate. The concerts, all free of charge, ended with Gottfried Zimmermann's death in 1741. Apart from showcasing his earlier orchestral repertoire, such as

5658-599: The Passion with Bible text reflected in recitatives, arias, choruses, and chorales, but in crafting this work, Bach created an overall experience that has been found over the intervening centuries to be both musically thrilling and spiritually profound. Bach published or carefully compiled in manuscript many collections of pieces that explored the range of artistic and technical possibilities inherent in almost every genre of his time except opera . For example, The Well-Tempered Clavier comprises two books, each of which presents

5781-583: The St Matthew and St John Passions and the Great Eighteen Chorale Preludes , their final revisions. He also programmed and adapted music by composers of a younger generation, including Pergolesi ( BWV 1083 ), and his own students, such as Goldberg ( BNB I/G/2 ). In 1746 Bach was preparing to enter Lorenz Christoph Mizler 's Society of Musical Sciences  [ de ] . To be admitted, he had to submit

5904-436: The liturgical year . Bach usually led performances of his cantatas , most composed within three years of his relocation to Leipzig. He assumed the office of Thomaskantor on 30 May 1723, presenting the first new cantata, Die Elenden sollen essen , BWV 75 , in the St. Nicholas Church on the first Sunday after Trinity . Bach collected his cantatas in annual cycles. Five are mentioned in obituaries, and three are extant. Of

6027-411: The slur , phrase mark , staccato , staccatissimo , accent , sforzando , rinforzando , and legato . A different symbol, placed above or below the note (depending on its position on the staff), represents each articulation. The third movement of Beethoven 's Symphony No. 6 (Pastoral) exemplifies the effective use of contrast between staccato and legato within the same passage of music: Varying

6150-433: The 17th and 18th centuries, the baroque and classical periods. In the earlier Renaissance music , performers understood most music to flow at a tempo defined by the tactus (roughly the rate of the human heartbeat). The mensural time signature indicated which note value corresponded to the tactus. In the Baroque period, pieces would typically be given an indication, which might be a tempo marking (e.g. Allegro ), or

6273-429: The 18th century and its later use from the 19th century onwards, it has experienced a slight increment in the tempo that it is intended to denote. Originally it implied a tempo very slightly faster than Andante , whereas now it is often used to indicate one that is just a little slower than Allegro . A similar fate has befallen the terms Adagietto and Andantino . Likewise, the terms Largo and Adagio have experienced

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6396-477: The 18th century, Bach was primarily valued as an organist , while his keyboard music, such as The Well-Tempered Clavier , was appreciated for its didactic qualities. The 19th century saw the publication of some significant Bach biographies , and by the end of that century, all of his known music had been printed. Dissemination of scholarship on the composer continued through periodicals (and later also websites) exclusively devoted to him and other publications such as

6519-781: The Bach family in Leipzig, but the visit did not take place. On 7 July 1720, while Bach was away in Carlsbad with Leopold, his wife, Maria Barbara Bach , suddenly died. The next year, he met Anna Magdalena Wilcke , a young, gifted soprano 16 years his junior, who performed at the court in Köthen; they married on 3 December 1721. Together they had 13 children, six of whom survived into adulthood: Gottfried Heinrich ; Elisabeth Juliane Friederica (1726–1781); Johann Christoph Friedrich and Johann Christian , who both, especially Johann Christian, became significant musicians; Johanna Carolina (1737–1781); and Regina Susanna (1742–1809). In 1723, Bach

6642-538: The Elector in a successful bid to persuade the prince to give him the title of Court Composer. He later extended this work into a full mass by adding a Credo , Sanctus , and Agnus Dei , the music for which was partly based on his own cantatas and partly original. Bach's appointment as Court Composer was an element of his long-term struggle to achieve greater bargaining power with the Leipzig council. Between 1737 and 1739, Bach's former pupil Carl Gotthelf Gerlach held

6765-540: The Italian Girolamo Frescobaldi . He learned theology , Latin and Greek at the local gymnasium . By 3 April 1700, Bach and his school friend Georg Erdmann—who was two years older than Bach—studied at St. Michael 's School in Lüneburg , some two weeks' travel north of Ohrdruf. Their journey was probably undertaken mostly on foot. His two years there were critical in exposing Bach to

6888-509: The Leipzig offer to negotiate better terms of employment. Bach was required to instruct the Thomasschule students in singing and provide church music for the main churches in Leipzig. He was also assigned to teach Latin but was allowed to employ four "prefects" (deputies) to do this instead. The prefects also aided with musical instruction. A cantata was required for the church services on Sundays and additional church holidays during

7011-478: The Russian Civil War song Echelon Song . On the smaller scale, tempo rubato refers to changes in tempo within a musical phrase , often described as some notes 'borrowing' time from others. Composers may use expressive marks to adjust the tempo: While the base tempo indication (such as Allegro ) typically appears in large type above the staff , adjustments typically appear below the staff or, in

7134-525: The St. Paul's Church, the church of Leipzig University . But when Bach was installed as cantor in 1723, he was put in charge only of music for festal (church holiday) services at St. Paul's Church; his petition to also provide music for regular Sunday services there (for a corresponding salary increase) went all the way to the Elector but was denied. In 1725, Bach "lost interest" in working even for festal services at St. Paul's Church and decided to appear there only on "special occasions". The St. Paul's Church had

7257-597: The above example, the repetition is recognized because of additional repetition of the melodic contour, which results in a certain redundancy of the musical structure, making the recognition of the rhythmic pattern "robust" under tempo deviations. Generally speaking, the more redundant the "musical support" of a rhythmic pattern, the better its recognizability under augmentations and diminutions, that is, its distortions are perceived as tempo variations rather than rhythmic changes: By taking into account melodic context, homogeneity of accompaniment, harmonic pulsation, and other cues,

7380-415: The apagados may be found in the work of the composer for Spanish guitar, Gerardo de Altona. Johann Sebastian Bach Johann Sebastian Bach (31 March [ O.S. 21 March] 1685 – 28 July 1750) was a German composer and musician of the late Baroque period . He is known for his prolific output across a variety of instruments and forms, including orchestral music such as

7503-490: The articulation of a theme can play a role in musical development . For example, Mendelssohn 's Hebrides Overture opens with a phrase played legato: This idea later re-emerges played staccato as Mendelssohn develops it across the orchestral texture : Woodwind and brass instruments generally produce articulations by tonguing , the use of the tongue to break the airflow into the instrument. Certain palate cues can help student musicians master articulations. For example,

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7626-402: The back of the mouth. Double-tonguing is an articulation primarily used by brass players, but the use of double-tonguing by woodwind players is becoming more common. A third, rare form of articulation for wind players is "doodle tonguing". The name of this articulation comes from the sound, doodle, one would make if she were to sound her voice while performing the articulation. Doodle-tonguing

7749-455: The bottom row of the table, the rhythm without pitch requires fewer bytes if it is "perceived" as it is, without repetitions and tempo leaps. On the contrary, its melodic version requires fewer bytes if the rhythm is "perceived" as being repeated at a double tempo. Thus, the loop of interdependence of rhythm and tempo is overcome due to the simplicity criterion, which "optimally" distributes the complexity of perception between rhythm and tempo. In

7872-460: The bow or pick. Musicians use articulation to create a link between notes, such as legato. Legato is formed by letting the string vibrate without stopping or muting it so the note slurs with the consecutive ones. Staccato is another very common musical articulation found in music. This action is caused by the player plucking, bowing, or picking the note and immediately muting the note so it is shorter than normal. Think of these two as opposites. Duration

7995-545: The canons BWV 1072–1078 are in that category, as is the bulk of the Musical Offering and the Art of Fugue . Another characteristic of Bach's style is his extensive use of counterpoint , as opposed to the homophony used in his four-part chorale settings, for example. Bach's canons, and especially his fugues, are the most characteristic of this style, which he did not invent but contributed to so fundamentally that to

8118-470: The case of keyboard instruments, in the middle of the grand staff. They generally designate a gradual change in tempo; for immediate tempo shifts, composers normally just provide the designation for the new tempo. (Note, however, that when Più mosso or Meno mosso appears in large type above the staff, it functions as a new tempo, and thus implies an immediate change.) Several terms, e.g., assai , molto , poco , subito , control how large and how gradual

8241-596: The classical tradition like the idea of a consistent, unified, repeatable tempo. Graphic scores show tempo and rhythm in a variety of ways. Polytemporal compositions deliberately utilise performers playing at marginally different speeds. John Cage 's compositions approach tempo in diverse ways. For instance, 4′33″ has a defined duration, but no actual notes, while As Slow as Possible has defined proportions but no defined duration, with one performance intended to last 639 years. In popular music genres such as disco , house music and electronic dance music , beatmatching

8364-522: The correct style. For example, if a song says 'medium shuffle', the drummer plays a shuffle drum pattern; if it says 'fast boogie-woogie', the piano player plays a boogie-woogie bassline. 'Show tempo', a term used since the early days of vaudeville , describes the traditionally brisk tempo (usually 160–170 bpm) of opening songs in stage revues and musicals. Humourist Tom Lehrer uses facetious English tempo markings in his anthology Too Many Songs by Tom Lehrer . For example, "National Brotherhood Week"

8487-419: The course of a piece, is another style characteristic where Bach goes beyond the norm in his time. Baroque instruments vastly limited modulation possibilities: keyboard instruments, before a workable system of temperament , limited the keys that could be modulated to, and wind instruments, especially brass instruments such as trumpets and horns , about a century before they were fitted with valves, were tied to

8610-425: The court, such as Die Zeit, die Tag und Jahre macht , BWV 134a . Despite being born in the same year and only about 130 kilometres (80 mi) apart, Bach and Handel never met. In 1719, Bach made the 35-kilometre (22 mi) journey from Köthen to Halle with the intention to meet Handel, but Handel had left town. In 1730, Bach's oldest son, Wilhelm Friedemann, travelled to Halle to invite Handel to visit

8733-542: The courts of Köthen and Weissenfels, as well as that of the Elector Frederick Augustus (who was also King of Poland ) in Dresden . Bach frequently disagreed with his employer, Leipzig's city council, which he regarded as "penny-pinching". Johann Kuhnau had been Thomaskantor in Leipzig from 1701 until his death on 5 June 1722. Bach had visited Leipzig during Kuhnau's tenure: in 1714, he attended

8856-429: The dependence of rhythm perception on tempo. Furthermore, the tempo-rhythm interaction is context dependent, as explained by Andranik Tangian using an example of the leading rhythm of ″Promenade″ from Modest Mussorgsky 's Pictures at an Exhibition : This rhythm is perceived as it is rather than as the first three events repeated at a double tempo (denoted as R012 = repeat from 0, one time, twice faster): However,

8979-420: The descriptive Italian or non-Italian terms alone. Where both metronome marking and a word indication occur together, the verbal cue is often also intended to express a style or feeling, which a metronome marking alone cannot do. It is therefore important to remember that the exact sense of many of these terms has changed over time. One striking example is the use of the term Allegretto . Between its early use in

9102-849: The directorship of the Collegium Musicum. In 1735, Bach started preparing his first organ music publication, which was printed as the third Clavier-Übung in 1739. From around that year he started to compile and compose the set of preludes and fugues for harpsichord that became the second book of The Well-Tempered Clavier . He received the title of "Royal Court Composer" from Augustus III in 1736. From 1740 to 1748 Bach copied, transcribed, expanded or programmed music in an older polyphonic style ( stile antico ) by, among others, Palestrina ( BNB I/P/2 ), Kerll ( BWV 241 ), Torri ( BWV Anh. 30 ), Bassani ( BWV 1081 ), Gasparini ( Missa Canonica ), and Caldara ( BWV 1082 ). Bach's style shifted in

9225-565: The events of a score independently, in accordance with their interpretation of it. Until the 17th century , it was rare to mark articulations in a score, and even during the Baroque period they were uncommon apart from ornaments, leaving them up to the performer and the standards of the time. Even during the Classical period, the interpretation of articulation marks varied far more widely than it does today. Articulations have now become more tightly standardized, but performers still must consider

9348-404: The fashions of their time, methods of playing that were current at the time the piece they are performing was written, the context of their performance, the style of the music, and their own taste and analysis when deciding how to articulate a score's events. There are many types of articulation, each with a different effect on how the note is played. In music notation articulation marks include

9471-418: The figured bass. In this way, Bach played a key role in the development of genres such as the keyboard concerto. Bach wrote virtuoso music for specific instruments as well as music independent of instrumentation. For instance, the sonatas and partitas for solo violin are considered the pinnacle of what has been written for violin, within reach of only accomplished players. The music fits the instrument, using

9594-609: The full expansion came with the Well-Tempered Clavier , using all keys, which Bach apparently had been developing since around 1720, the Klavierbüchlein für Wilhelm Friedemann Bach being one of its earliest examples. The second page of the Klavierbüchlein für Wilhelm Friedemann Bach is an ornament notation and performance guide that Bach wrote for his eldest son when he was nine years old. Bach

9717-484: The full gamut of its possibilities and requiring virtuosity but without bravura . Notwithstanding that the music and the instrument seem inseparable, Bach transcribed some pieces in this collection for other instruments. Similarly, the virtuoso cello suites seem tailored to the instrument, the best of what is offered for it, but Bach arranged one of the suites for lute. The same applies to much of his most virtuoso keyboard music. Bach exploited an instrument's capacities to

9840-415: The fullest while keeping the core of the music independent of the instrument on which it is performed. In this sense, it is no surprise that Bach's music is easily and often performed on instruments it was not written for, that it is transcribed so often, and that his melodies turn up in unexpected places, such as jazz music. Apart from this, Bach left several compositions without specified instrumentation:

9963-442: The genres associated with it: more than his contemporaries (who had "moved on" to the tonal system without much exception), Bach often returned to the then-antiquated modes and genres. His Chromatic Fantasia and Fugue , emulating the chromatic fantasia genre used by earlier composers such as Dowland and Sweelinck in D dorian mode (comparable to D minor in the tonal system), is an example. Modulation , or changing key in

10086-487: The greatest composers in the history of Western music. The Bach family already counted several composers when Johann Sebastian was born as the last child of a city musician, Johann Ambrosius , in Eisenach . After being orphaned at the age of 10, he lived for five years with his eldest brother, Johann Christoph , after which he continued his musical education in Lüneburg . In 1703 he returned to Thuringia , working as

10209-417: The implementation of double-tonguing may be required when many articulations are required in rapid succession. Double-tonguing can be simulated by repeating the syllables "dig" and "guh" in rapid succession. Other syllables for double tonguing are "tuh" and "kuh," "tih" and "kuh," and any other combination of syllables that use the tip of the tongue behind the front teeth and then the back of the tongue against

10332-498: The increasing number of explicit tempo markings, musicians still observe conventions, expecting a minuet to be at a fairly stately tempo, slower than a Viennese waltz ; a perpetuum mobile quite fast, and so on. Genres imply tempos, and thus, Ludwig van Beethoven wrote "In tempo d'un Menuetto" over the first movement of his Piano Sonata Op. 54, though that movement is not a minuet. Many tempo markings also indicate mood and expression. For example, presto and allegro both indicate

10455-462: The key of their tuning. Bach pushed the limits: he added "strange tones" in his organ playing, confusing the singers, according to an indictment he had to face in Arnstadt, and Louis Marchand , another early experimenter with modulation, seems to have avoided confrontation with Bach because the latter went further than anyone had done before. In the "Suscepit Israel" of his 1723 Magnificat , he had

10578-459: The language of music is merely the utterance of a melodic line, a simple sequence of musical notes, it can justly be accused of poverty. The addition of a Bass puts it upon a harmonic foundation and clarifies it but defines rather than gives it added richness. A melody so accompanied—even though all the notes are not those of the true Bass—or treated with simple embellishments in the upper parts or with simple chords used to be called "homophony". But it

10701-488: The last decade of his life, showing an increased integration of polyphonic structures and canons and other elements of the stile antico . His fourth and last Clavier-Übung volume, the Goldberg Variations for two-manual harpsichord, contained nine canons and was published in 1741. During this period, Bach also continued to adapt music of contemporaries such as Handel ( BNB I/K/2 ) and Stölzel ( BWV 200 ), and gave many of his own earlier compositions, such as

10824-744: The more than 300 cantatas he composed in Leipzig, over 100 have been lost to posterity. Most of these works expound on the Gospel readings prescribed for every Sunday and feast day in the Lutheran year. Bach started a second annual cycle on the first Sunday after the Trinity of 1724 and composed only chorale cantatas , each based on a single church hymn. These include O Ewigkeit, du Donnerwort , BWV 20 , Wachet auf, ruft uns die Stimme , BWV 140 , Nun komm, der Heiden Heiland , BWV 62 , and Wie schön leuchtet der Morgenstern , BWV 1 . Bach drew

10947-525: The motive with this rhythm in the Mussorgsky's piece is rather perceived as a repeat This context-dependent perception of tempo and rhythm is explained by the principle of correlative perception, according to which data are perceived in the simplest way. From the viewpoint of Kolmogorov 's complexity theory, this means such a representation of the data that minimizes the amount of memory. The example considered suggests two alternative representations of

11070-408: The name of a dance (e.g. Allemande or Sarabande ), the latter being an indication both of tempo and of metre. Any musician of the time was expected to know how to interpret these markings based on custom and experience. In some cases, however, these markings were simply omitted. For example, the first movement of Bach 's Brandenburg Concerto No. 3 has no tempo or mood indication whatsoever. Despite

11193-458: The organist at the New Church, with light duties, a relatively generous salary, and a new organ tuned in a temperament that allowed music written in a wider range of keys to be played. Despite strong family connections and a musically enthusiastic employer, tension built up between Bach and the authorities after several years in the post. Bach felt discontented by the calibre of musicians he

11316-633: The principle of correlativity of perception. If a rhythm is not structurally redundant, then even minor tempo deviations are not perceived as accelerando or ritardando but rather given an impression of a change in rhythm, which implies an inadequate perception of musical meaning. Twentieth-century classical music introduced a wide range of approaches to tempo, particularly thanks to the influence of modernism and later postmodernism . While many composers have retained traditional tempo markings, sometimes requiring greater precision than in any preceding period, others have begun to question basic assumptions of

11439-559: The range of admissible tempo deviations can be extended further, yet still not preventing musically normal perception. For example, Scriabin 's own performance of his "Poem", Op. 32, No. 1, transcribed from a piano-roll recording contains tempo deviations within [REDACTED] . = 19/119, a span of 5.5 times. Such tempo deviations are strictly prohibited, for example, in Bulgarian or Turkish music based on so-called additive rhythms with complex duration ratios, which can also be explained by

11562-441: The same free and independent manner. In that case, the apparatus of language is correspondingly enlarged and becomes practically inexhaustible if, in addition, varieties of form and rhythm are introduced. Hence, harmony becomes no longer a mere accompaniment of melody but rather a potent agency for augmenting the richness and expressiveness of musical conversation. To serve that end, a simple accompaniment will not suffice. True harmony

11685-418: The same rhythm: as it is, and as the rhythm-tempo interaction — a two-level representation in terms of a generative rhythmic pattern and a "tempo curve". Table 1 displays these possibilities both with and without pitch, assuming that one duration requires one byte of information, one byte is needed for the pitch of one tone, and invoking the repeat algorithm with its parameters R012 takes four bytes. As shown in

11808-1120: The second movement of Mahler's Symphony No. 9 is marked Im Tempo eines gemächlichen Ländlers, etwas täppisch und sehr derb , indicating a slowish folk-dance-like movement, with some awkwardness and much vulgarity in the execution. Mahler would also sometimes combine German tempo markings with traditional Italian markings, as in the first movement of his sixth symphony , marked Allegro energico, ma non troppo. Heftig, aber markig (Energetically quick, but not too much. Violent, but vigorous.) English indications, for example 'quickly', have also been used, by Benjamin Britten and Percy Grainger , among many others. In jazz and popular music lead sheets and fake book charts, terms like 'fast', 'laid back', 'steady rock', 'medium', 'medium-up', 'ballad', 'brisk', 'brightly', 'up', 'slowly', and similar style indications may appear. In some lead sheets and fake books, both tempo and genre are indicated, e.g., 'slow blues', 'fast swing', or 'medium Latin'. The genre indications help rhythm section instrumentalists use

11931-674: The service at the St. Thomas Church on the first Sunday of Advent, and in 1717 he had tested the organ of the St. Paul's Church . In 1716, Bach and Kuhnau met on the occasion of the testing and inauguration of an organ in Halle. The position was offered to Bach only after it had been offered to Georg Philipp Telemann and then to Christoph Graupner , both of whom chose to stay where they were—Telemann in Hamburg and Graupner in Darmstadt—after using

12054-477: The soprano and alto choristers from the school and the tenors and basses from the school and elsewhere in Leipzig. Performing at weddings and funerals provided extra income for these groups; probably for this purpose, and for in-school training, he wrote at least six motets . As part of his regular church work, he performed other composers' motets, which served as formal models for his own. Bach's predecessor as cantor, Johann Kuhnau, had also been music director for

12177-429: The syllable "dah" demonstrates one placement of the tongue to articulate notes. In most cases, using the near tip of the tongue, is the best way of articulation. However, different articulation markings require different tongue placement. Smooth, connected passages may require an articulation more reminiscent of the syllable "la," while heavy, sharp notes may be attacked with an articulation similar to "tah." Furthermore,

12300-599: The tempo for the group. In an orchestra or concert band, the conductor normally sets the tempo. In a marching band, the drum major may set the tempo. In a sound recording , in some cases a record producer may set the tempo for a song (although this would be less likely with an experienced bandleader). Differences in tempo and its interpretation can differ between cultures, as shown by Curt Sachs when comparing Tunisian with Western Classical melodies, while certain genres display rhythmic variation in line with its forms, as occurs with flamenco and its palos . In classical music , it

12423-418: The tempo is often indicated by a conductor or by one of the instrumentalists, for instance the drummer . Although tempo is described or indicated in many different ways, including with a range of words (e.g., "Slowly", "Adagio", and so on), it is typically measured in beats per minute (bpm or BPM). For example, a tempo of 60 beats per minute signifies one beat per second, while a tempo of 120 beats per minute

12546-423: The tempo of a song or piece. In a popular music or traditional music group or band, the bandleader or drummer may select the tempo. In popular and traditional music, whoever is setting the tempo often counts out one or two bars in tempo. In some songs or pieces in which a singer or solo instrumentalist begins the work with a solo introduction (prior to the start of the full group), the tempo they set will provide

12669-513: The trumpets in E-flat play a melody in the enharmonic scale of C minor. The major development in Bach's time to which he contributed in no small way was a temperament for keyboard instruments that allowed their use in every key (12 major and 12 minor) and also modulation without retuning. His Capriccio on the departure of a beloved brother , a very early work, showed a gusto for modulation unlike any contemporary work it has been compared to, but

12792-477: The underlying tempos of recordings, rather than their strict bpm value suggested by the kick drum, particularly when dealing with high tempo tracks. A 240 bpm track, for example, matches the beat of a 120 bpm track without slowing down or speeding up, because both have an underlying tempo of 120 quarter notes per minute. Thus, some soul music (around 75–90 bpm) mixes well with a drum and bass beat (from 150 to 185 bpm). When speeding up or slowing down

12915-704: Was 15 years old. Bach later wrote several other works on the same theme. When Bach revisited Reincken in 1720 and showed him his improvisatory skills on the organ, Reincken reportedly remarked: "I thought that this art was dead, but I see that it lives in you." In 1706, Bach applied for a post as organist at the Blasius Church in Mühlhausen . As part of his application, he had a cantata performed on Easter, 24 April 1707, likely an early version of his Christ lag in Todes Banden . Bach's application

13038-598: Was accepted a month later, and he took up the post in July. The position included significantly higher remuneration, improved conditions, and a better choir. Four months after arriving at Mühlhausen, Bach married Maria Barbara Bach , his second cousin. Bach convinced the church and town government at Mühlhausen to fund an expensive renovation of the organ at the Blasius Church. In 1708, Bach wrote Gott ist mein König ,

13161-690: Was appointed Thomaskantor director of church music in Leipzig. He had to direct the St. Thomas School and provide four churches with music, the St. Thomas Church , the St. Nicholas Church , and to a lesser extent, the New Church and St. Peter's Church . This was "the leading cantorate in Protestant Germany", located in the mercantile city in the Electorate of Saxony , which he held for 27 years, until his death. During that time he gained further prestige through honorary appointments at

13284-471: Was appointed court musician in the chapel of Duke Johann Ernst III in Weimar . His role there is unclear, but it probably included menial, non-musical duties. During his seven-month tenure at Weimar, his reputation as a keyboardist spread so widely that he was invited to inspect the new organ and give the inaugural recital at the New Church (now Bach Church ) in Arnstadt , about 30 kilometres (19 mi) southwest of Weimar. On 14 August 1703, he became

13407-404: Was at the core of Bach's style, and his compositions are to a large extent considered to have laid down the rules for the evolving scheme that dominated musical expression in the next centuries. Some examples of this characteristic of Bach's style and its influence: Bach's insistence on the tonal system and contribution to shaping it did not imply he was less at ease with the older modal system and

13530-512: Was born in Eisenach , the capital of the duchy of Saxe-Eisenach , in present-day Germany, on 21 March 1685 O.S. (31 March 1685 N.S. ). He was the eighth and youngest child of Johann Ambrosius Bach , the director of the town musicians, and Maria Elisabeth Lämmerhirt . His father likely taught him violin and basic music theory . His uncles were all professional musicians who worked as church organists, court chamber musicians, and composers. One uncle, Johann Christoph Bach , introduced him to

13653-495: Was born, and Maria Barbara's elder, unmarried sister joined them. She remained to help run the household until she died in 1729. Three sons were also born in Weimar: Wilhelm Friedemann , Carl Philipp Emanuel , and Johann Gottfried Bernhard . Johann Sebastian and Maria Barbara had three more children—twins born in 1713 and a single birth; none survived past their first birthday. Bach's time in Weimar began

13776-420: Was collaborating with. He called one of them, Geyersbach, a "Zippel Fagottist" ( weenie bassoonist ). Late one evening, Geyersbach went after Bach with a stick. Bach filed a complaint against Geyersbach with the authorities. They acquitted Geyersbach with a minor reprimand and ordered Bach to be more moderate about the musical qualities he expected from his students. Some months later, Bach upset his employer with

13899-474: Was costly. He received valuable teaching from his brother, who instructed him on the clavichord . Johann Christoph exposed him to the works of great composers of the day, including South Germans such as Johann Caspar Kerll , Johann Jakob Froberger , and Johann Pachelbel (under whom Johann Christoph had studied); North Germans; Frenchmen such as Jean-Baptiste Lully , Louis Marchand , and Marin Marais ; and

14022-506: Was declining. On 2 June, Heinrich von Brühl wrote to one of the Leipzig burgomasters to request that his music director, Gottlob Harrer , fill the Thomaskantor and Director musices posts "upon the eventual ... decease of Mr. Bach". Becoming blind, Bach underwent eye surgery in March 1750 and again in April by the British eye surgeon John Taylor , a man widely understood today as

14145-576: Was generally quite specific on ornamentation in his compositions (in his time, much ornamentation was not written out by composers but rather considered a liberty of the performer), and his ornamentation was often quite elaborate. For instance, the "Aria" of the Goldberg Variations has rich ornamentation in nearly every measure. Bach's approach to ornamentation can also be seen in a keyboard arrangement he made of Marcello 's Oboe Concerto : he added explicit ornamentation, which centuries later

14268-609: Was known to write extensive tempo (and character) markings by defining them in a poetical and literal way, as in his Gnossiennes. Many composers have used German tempo markings. Typical German tempo markings are: One of the first German composers to use tempo markings in his native language was Ludwig van Beethoven , but only sparsely. Robert Schumann followed afterwards with increasingly specific markings, and later composers like Hindemith and Mahler would further elaborate on combined tempo and mood instructions in German. For example,

14391-409: Was less moved. After a performance of his St Matthew Passion , someone said it all sounded much like opera. In concerted playing in Bach's time, the basso continuo, consisting of instruments such as organ, viola da gamba , or harpsichord, usually had the role of accompaniment, providing a piece's harmonic and rhythmic foundation. Beginning in the 1720s, Bach had the organ play concertante (i.e., as

14514-437: Was one of the dozens of private societies in the major German-speaking cities established by musically active university students; they had become increasingly important in public musical life and were typically led by the most prominent professionals in a city. In the words of Christoph Wolff , assuming the directorship was a shrewd move that "consolidated Bach's firm grip on Leipzig's principal musical institutions". Every week,

14637-402: Was one of the first composers to use the metronome; in the 1810s he published metronomic indications for the eight symphonies he had composed up to that time. With the advent of modern electronics, beats per minute became an extremely precise measure. Music sequencers use the bpm system to denote tempo. In popular music genres such as electronic dance music , accurate knowledge of a tune's bpm

14760-595: Was particularly attracted to the Italian style, in which one or more solo instruments alternate section-by-section with the full orchestra throughout a movement . In Weimar, Bach continued to play and compose for the organ and perform concert music with the duke's ensemble. He also began to write the preludes and fugues that were later assembled into his monumental work The Well-Tempered Clavier ("clavier" meaning clavichord or harpsichord), consisting of two books, each containing 24 preludes and fugues in every major and minor key. In Weimar Bach also started work on

14883-788: Was published in 1751. Together with one of J.S. Bach's former students, Johann Friedrich Agricola , C.P.E. Bach also wrote the obituary (" Nekrolog "), which was published in Mizler's Musikalische Bibliothek  [ de ] , a periodical journal produced by the Society of Musical Sciences, in 1754. From an early age, Bach studied the works of his musical contemporaries of the Baroque period and those of earlier generations, and those influences are reflected in his music. Like his contemporaries Handel, Telemann, and Vivaldi, Bach composed concertos, suites, recitatives, da capo arias , and four-part choral music, and employed basso continuo . His music

15006-1094: Was somewhat remedied when his sovereign, Augustus III of Poland , granted him the title of court composer in 1736. In the last decades of his life, Bach reworked and extended many of his earlier compositions. He died of complications after a botched eye surgery in 1750 at the age of 65. Bach enriched established German styles through his mastery of counterpoint , harmonic and motivic organisation, and his adaptation of rhythms, forms, and textures from abroad, particularly Italy and France. His compositions include hundreds of cantatas , both sacred and secular . He composed Latin church music , Passions , oratorios , and motets . He often adopted Lutheran hymns , not only in his larger vocal works but, for instance, also in his four-part chorales and his sacred songs . Bach wrote extensively for organ and for other keyboard instruments . He composed concertos , for instance for violin and for harpsichord , and suites , as chamber music as well as for orchestra . Many of his works employ contrapuntal techniques like canon and fugue . In

15129-503: Was the basis of much of his work. In elaborating these hymns into his chorale preludes, he wrote more cogent and tightly integrated works than most, even when they were massive and lengthy. The large-scale structure of every major Bach sacred vocal work is evidence of subtle, elaborate planning to create religiously and musically powerful expression. For example, the St Matthew Passion , like other works of its kind, illustrated

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