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Double stop
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==Bowing== On instruments with a curved [[bridge (instrument)|bridge]], it is difficult to [[Bow (music)|bow]] more than two strings simultaneously. Early treatises make it clear that [[composer]]s did not expect three notes to be played at once, even though the notes may be written in a way as to suggest this. Playing four notes at once is almost impossible. The normal way of playing three or four note chords is to sound the lower notes briefly and allow them to ring while the bow plays the upper notes (a [[broken chord]]). This gives the illusion of a true triple or quadruple stop. In [[Dynamics (music)|forte]], however, it is possible to play three notes at once, especially when bowed toward the [[fingerboard]]. With this technique more pressure than usual is needed on the bow, so this cannot be practiced in softer passages. This technique is mainly used in music with great force, such as the [[cadenza]]-like solo at the beginning of the last movement of [[Tchaikovsky]]'s [[Violin Concerto (Tchaikovsky)|violin concerto]]. ===Bach bow=== The "Bach bow" with its arched back uses a system of levers to slacken or tighten bow hair immediately while playing so as to (according to its advocates) facilitate the performance of polyphonic music. Such a bow was conceived early in the 20th century by [[Arnold Schering]] and Albert Schweitzer and constructed by Rolf Schröder in 1933.<ref>David D. Boydon (2001), ''[[New Grove Dictionary of Music]]'', "Bow", ed. [[Stanley Sadie]].</ref> A similar device called the "Vega bow" was built in 1954 under the sponsorship of the violinist [[Emil Telmányi]].<ref>''Oxford Dictionary of Music'', "Telmányi", Oxford University Press.</ref> Neither of these bows bears any particular relation to historical [[baroque music|Baroque]] bows and neither has ever been widely employed. In 1990, German cellist [[Michael Bach (musician)|Michael Bach]] invented a curved bow for cello, violin, viola and bass.<ref>[[Michael Bach (musician)|Michael Bach]]: ''Fingerboards & Overtones, Pictures, Basics and Model for a New Way of Cello Playing'', Edition Spangenberg, Munich 1991, {{ISBN|3-89409-063-4}}.</ref> He named it "BACH.Bogen" (BACH.Bow) after his own name. ===Notation=== In longer three-note or four-note chords, either the top note or the top two notes are sustained after the lower notes have been played as grace notes.<ref>[[Walter Piston]] (1955), ''Orchestration'', W. W. Norton, 55.</ref> Sometimes the noteheads for the lower notes are filled in to show they are of short duration while the noteheads for the notes to be held are left open. This notation occurs, for example, at the beginning of the fourth movement of [[Beethoven's fifth symphony]].<ref>Ludwig van Beethoven, ed. [[Elliot Forbes]] (1971), ''Symphony No. 5 in C minor, Norton Critical Scores'', W. W. Norton, 68.</ref> Simultaneous notes in a single part for an orchestral string section may be played as multiple stops or the individual notes may be distributed among the players within the section. Where the latter is intended, ''[[divisi]]'' or ''div.'' is written above the staff.<ref>[[George Heussenstamm]] (1987), ''The Norton Manual of Music Notation'', W. W. Norton, 117.</ref>
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