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Tummel is a Swedish / Danish klezmer band formed in 1997. Tummel plays music that combines traditional klezmer sounds with influences from jazz and the folk music of Sweden and the former Yugoslavia .

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92-955: Tummel has released three albums: their debut Oy! (see image) appeared in 2001, Transit came out in 2004, and Payback Time in 2009. As the cover of Oy! shows, Tummel combines a range of jazz instruments including flute and tuba. The band's lineup has changed several times. It started out as Annika Jessen on clarinet and vocals, Jonathan Aisen drums and percussion , Pär Moberg on saxophone , Øvind Alexander Slaatto on helicon , Tobias Allvin on guitar and bouzouki , Andreas Rudenå, violin and guitar and Edin Bahtijaragić on accordion . Chris Nickson, writing on CD Universe , praises Tummel's lively performance: "A Danish/Swedish band with no deep Jewish roots playing klezmer? Well, why not, especially when it's done as well as Tummel does on Klezmer." Robert M Tilendis, writing in Green Man Review,

184-454: A = r sin ⁡ α . {\displaystyle {\begin{aligned}e&=\cos \alpha ,\\[1ex]a&={\frac {r}{\sin \alpha }}.\end{aligned}}} If the base of a circular cylinder has a radius r and the cylinder has height h , then its volume is given by V = π r 2 h {\displaystyle V=\pi r^{2}h} This formula holds whether or not

276-417: A Baroque instrument called the chalumeau . This instrument was similar to a recorder , but with a single-reed mouthpiece and a cylindrical bore. Lacking a register key , it was played mainly in its fundamental register, with a limited range of about one and a half octaves. It had eight finger holes, like a recorder, and a written pitch range from F 3 to G 4 . At this time, contrary to modern practice,

368-543: A three-dimensional solid , one of the most basic of curvilinear geometric shapes . In elementary geometry , it is considered a prism with a circle as its base. A cylinder may also be defined as an infinite curvilinear surface in various modern branches of geometry and topology . The shift in the basic meaning—solid versus surface (as in a solid ball versus sphere surface)—has created some ambiguity with terminology. The two concepts may be distinguished by referring to solid cylinders and cylindrical surfaces . In

460-599: A German mouthpiece and bore. The Albert clarinet was developed by Eugène Albert in 1848. This model was based on the Müller clarinet with some changes to keywork, and was also known as the "simple system". It included a "spectacle key" patented by Adolphe Sax and rollers to improve little-finger movement. After 1861, a "patent C sharp" key developed by Joseph Tyler was added to other clarinet models. Improved versions of Albert clarinets were built in Belgium and France for export to

552-465: A clarinet follows these steps: In addition to this primary compression wave, other waves, known as harmonics , are created. Harmonics are caused by factors including the imperfect wobbling and shaking of the reed, the reed sealing the mouthpiece opening for part of the wave cycle (which creates a flattened section of the sound wave), and imperfections (bumps and holes) in the bore. A wide variety of compression waves are created, but only some (primarily

644-425: A common integration technique for finding volumes of solids of revolution. In the treatise by this name, written c.  225 BCE , Archimedes obtained the result of which he was most proud, namely obtaining the formulas for the volume and surface area of a sphere by exploiting the relationship between a sphere and its circumscribed right circular cylinder of the same height and diameter . The sphere has

736-414: A cylindrical stopped pipe . Recorders use a tapered internal bore to overblow at the octave when the thumb/register hole is pinched open, while the clarinet, with its cylindrical bore, overblows at the twelfth . Most modern clarinets have "undercut" tone holes that improve intonation and sound. Undercutting means chamfering the bottom edge of tone holes inside the bore. Acoustically, this makes

828-505: A distinctive style of playing. The popular Brazilian music style of choro uses the clarinet, as does Albanian saze and Greek kompania folk music, and Bulgarian wedding music . In Turkish folk music , the Albert system clarinet in G is often used, commonly called a "Turkish clarinet". Cylinder (geometry) A cylinder (from Ancient Greek κύλινδρος ( kúlindros )  'roller, tumbler') has traditionally been

920-733: A few keys to control accidentals (notes outside their diatonic home scales). The low (chalumeau) register of the clarinet spans a twelfth (an octave plus a perfect fifth) before overblowing, so the clarinet needs keys/holes to produce all nineteen notes in this range. This involves more keywork than on instruments that "overblow" at the octave— oboes , flutes, bassoons , and saxophones need only twelve notes before overblowing. Since clarinets with few keys cannot play chromatically, they are limited to playing in closely related keys. For example, an eighteenth-century clarinet in C could play music in F, C, and G (and their relative minors) with good intonation, but with progressive difficulty and poorer intonation as

1012-407: A height much greater than its diameter, whereas a short and wide disk cylinder has a diameter much greater than its height. A cylindric section is the intersection of a cylinder's surface with a plane . They are, in general, curves and are special types of plane sections . The cylindric section by a plane that contains two elements of a cylinder is a parallelogram . Such a cylindric section of

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1104-437: A perfect fifth higher than the first. A second key, at the top, extended the range of the first register to A 4 and, together with the register key, to B ♭ 4 . Later, Denner lengthened the bell and provided it with a third key to extend the pitch range down to E 3 . After Denner's innovations, other makers added keys to improve tuning and facilitate fingerings and the chalumeau fell into disuse. The clarinet of

1196-435: A performance by the band has been broadcast as "Veckans konsert" (concert of the week) on Swedish national television Clarinet Plucked The clarinet is a single-reed musical instrument in the woodwind family, with a nearly cylindrical bore and a flared bell. Clarinets comprise a family of instruments of differing sizes and pitches. The clarinet family is the largest woodwind family, ranging from

1288-410: A plane intersects a base of the cylinder in exactly two points then the line segment joining these points is part of the cylindric section. If such a plane contains two elements, it has a rectangle as a cylindric section, otherwise the sides of the cylindric section are portions of an ellipse. Finally, if a plane contains more than two points of a base, it contains the entire base and the cylindric section

1380-407: A plane not parallel to the given line. Such cylinders have, at times, been referred to as generalized cylinders . Through each point of a generalized cylinder there passes a unique line that is contained in the cylinder. Thus, this definition may be rephrased to say that a cylinder is any ruled surface spanned by a one-parameter family of parallel lines. A cylinder having a right section that

1472-407: A right cylinder is a rectangle . A cylindric section in which the intersecting plane intersects and is perpendicular to all the elements of the cylinder is called a right section . If a right section of a cylinder is a circle then the cylinder is a circular cylinder. In more generality, if a right section of a cylinder is a conic section (parabola, ellipse, hyperbola) then the solid cylinder

1564-399: A right cylinder, is more generally given by L = e × p , {\displaystyle L=e\times p,} where e is the length of an element and p is the perimeter of a right section of the cylinder. This produces the previous formula for lateral area when the cylinder is a right circular cylinder. A right circular hollow cylinder (or cylindrical shell )

1656-400: A scale from one (soft) through five (hard). This numbering system is not standardized—reeds with the same number often vary in hardness across manufacturers and models. Reed and mouthpiece characteristics work together to determine ease of playability and tonal characteristics. The reed is attached to the mouthpiece by the ligature , and the top half-inch or so of this assembly is held in

1748-505: A single reed made from the cane of Arundo donax . Reeds may also be manufactured from synthetic materials. The ligature fastens the reed to the mouthpiece. When air is blown through the opening between the reed and the mouthpiece facing, the reed vibrates and produces the clarinet's sound. Most players buy manufactured reeds, although many make adjustments to these reeds, and some make their own reeds from cane "blanks". Reeds come in varying degrees of hardness, generally indicated on

1840-409: A single real line (actually a coincident pair of lines), or only at the vertex. These cases give rise to the hyperbolic, parabolic or elliptic cylinders respectively. This concept is useful when considering degenerate conics , which may include the cylindrical conics. A solid circular cylinder can be seen as the limiting case of a n -gonal prism where n approaches infinity . The connection

1932-542: A single real point.) If A and B have different signs and ρ ≠ 0 {\displaystyle \rho \neq 0} , we obtain the hyperbolic cylinders , whose equations may be rewritten as: ( x a ) 2 − ( y b ) 2 = 1. {\displaystyle \left({\frac {x}{a}}\right)^{2}-\left({\frac {y}{b}}\right)^{2}=1.} Finally, if AB = 0 assume, without loss of generality , that B = 0 and A = 1 to obtain

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2024-411: A volume two-thirds that of the circumscribed cylinder and a surface area two-thirds that of the cylinder (including the bases). Since the values for the cylinder were already known, he obtained, for the first time, the corresponding values for the sphere. The volume of a sphere of radius r is ⁠ 4 / 3 ⁠ π r = ⁠ 2 / 3 ⁠ (2 π r ) . The surface area of this sphere

2116-453: A written E ♭ and some have additional keys to enable a written C 3 . Among the less common members of the clarinet family, contrabass clarinets may have keywork to written D 3 , C 3 , or B 2 ; the basset clarinet and basset horn generally go to low C 3 . Defining the top end of a clarinet's range is difficult, since many advanced players can produce notes well above the highest notes commonly found in method books. G 6

2208-421: Is 4 π r = ⁠ 2 / 3 ⁠ (6 π r ) . A sculpted sphere and cylinder were placed on the tomb of Archimedes at his request. In some areas of geometry and topology the term cylinder refers to what has been called a cylindrical surface . A cylinder is defined as a surface consisting of all the points on all the lines which are parallel to a given line and which pass through a fixed plane curve in

2300-403: Is a circle. In the case of a right circular cylinder with a cylindric section that is an ellipse, the eccentricity e of the cylindric section and semi-major axis a of the cylindric section depend on the radius of the cylinder r and the angle α between the secant plane and cylinder axis, in the following way: e = cos ⁡ α ,

2392-419: Is a curved metal neck instead of a barrel. The main body of most clarinets has an upper joint, whose mechanism is mostly operated by the left hand, and a lower joint, mostly operated by the right hand. Some clarinets have a one-piece body. The modern soprano clarinet has numerous tone holes —seven are covered with the fingertips and the rest are operated using a set of 17 keys. The most common system of keys

2484-756: Is a generalization of the equation of the ordinary, circular cylinder ( a = b ). Elliptic cylinders are also known as cylindroids , but that name is ambiguous, as it can also refer to the Plücker conoid . If ρ {\displaystyle \rho } has a different sign than the coefficients, we obtain the imaginary elliptic cylinders : ( x a ) 2 + ( y b ) 2 = − 1 , {\displaystyle \left({\frac {x}{a}}\right)^{2}+\left({\frac {y}{b}}\right)^{2}=-1,} which have no real points on them. ( ρ = 0 {\displaystyle \rho =0} gives

2576-405: Is a right circular cylinder. The height of a cylinder of revolution is the length of the generating line segment. The line that the segment is revolved about is called the axis of the cylinder and it passes through the centers of the two bases. The bare term cylinder often refers to a solid cylinder with circular ends perpendicular to the axis, that is, a right circular cylinder, as shown in

2668-613: Is a three-dimensional region bounded by two right circular cylinders having the same axis and two parallel annular bases perpendicular to the cylinders' common axis, as in the diagram. Let the height be h , internal radius r , and external radius R . The volume is given by V = π ( R 2 − r 2 ) h = 2 π ( R + r 2 ) h ( R − r ) . {\displaystyle V=\pi \left(R^{2}-r^{2}\right)h=2\pi \left({\frac {R+r}{2}}\right)h(R-r).} Thus,

2760-638: Is an ellipse , parabola , or hyperbola is called an elliptic cylinder , parabolic cylinder and hyperbolic cylinder , respectively. These are degenerate quadric surfaces . When the principal axes of a quadric are aligned with the reference frame (always possible for a quadric), a general equation of the quadric in three dimensions is given by f ( x , y , z ) = A x 2 + B y 2 + C z 2 + D x + E y + G z + H = 0 , {\displaystyle f(x,y,z)=Ax^{2}+By^{2}+Cz^{2}+Dx+Ey+Gz+H=0,} with

2852-579: Is impressed by Tummel: Tilendis continues Tilendis in particular praises vocalist Jens Friis-Hansen: Eelco Schilder, reviewing Tummel's Oy on Folkworld CD Reviews, writes: Ben Ohmart, writing in The Muse's Muse , comments playfully that Alexander Agrell, reviewing Payback Time (in Swedish) in the Sydsvenskan newspaper, notes that the lineup has changed (Annika Jessen the clarinetist has left), but awards

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2944-628: Is rare in classical literature; however, certain performers, such as Richard Stoltzman , use vibrato in classical music. Special fingerings and lip-bending may be used to play microtonal intervals. There have also been efforts to create a quarter tone clarinet . Clarinet bodies have been made from a variety of materials including wood, plastic, hard rubber or Ebonite , metal, and ivory . The vast majority of wooden clarinets are made from African blackwood (grenadilla), or, more uncommonly, Honduran rosewood or cocobolo . Historically other woods, particularly boxwood and ebony , were used. Since

3036-403: Is said to be parabolic, elliptic and hyperbolic, respectively. For a right circular cylinder, there are several ways in which planes can meet a cylinder. First, planes that intersect a base in at most one point. A plane is tangent to the cylinder if it meets the cylinder in a single element. The right sections are circles and all other planes intersect the cylindrical surface in an ellipse . If

3128-425: Is the diameter of the circular top or bottom. For a given volume, the right circular cylinder with the smallest surface area has h = 2 r . Equivalently, for a given surface area, the right circular cylinder with the largest volume has h = 2 r , that is, the cylinder fits snugly in a cube of side length = altitude ( = diameter of base circle). The lateral area, L , of a circular cylinder, which need not be

3220-636: Is the equation of an elliptic cylinder . Further simplification can be obtained by translation of axes and scalar multiplication. If ρ {\displaystyle \rho } has the same sign as the coefficients A and B , then the equation of an elliptic cylinder may be rewritten in Cartesian coordinates as: ( x a ) 2 + ( y b ) 2 = 1. {\displaystyle \left({\frac {x}{a}}\right)^{2}+\left({\frac {y}{b}}\right)^{2}=1.} This equation of an elliptic cylinder

3312-426: Is the only type of geometric figure for which this technique works with the use of only elementary considerations (no appeal to calculus or more advanced mathematics). Terminology about prisms and cylinders is identical. Thus, for example, since a truncated prism is a prism whose bases do not lie in parallel planes, a solid cylinder whose bases do not lie in parallel planes would be called a truncated cylinder . From

3404-429: Is usually the highest note encountered in classical repertoire, but fingerings as high as A 7 exist. The range of a clarinet can be divided into three distinct registers : The three registers have characteristically different sounds—the chalumeau is rich and dark, the clarion is brighter and sweet, like a trumpet heard from afar, and the altissimo can be piercing and sometimes shrill. The production of sound by

3496-407: Is very strong and many older texts treat prisms and cylinders simultaneously. Formulas for surface area and volume are derived from the corresponding formulas for prisms by using inscribed and circumscribed prisms and then letting the number of sides of the prism increase without bound. One reason for the early emphasis (and sometimes exclusive treatment) on circular cylinders is that a circular base

3588-686: Is widely used as a solo instrument. The clarinet evolved later than other orchestral woodwind instruments, leaving solo repertoire from the Classical period onward, but few works from the Baroque era. Many clarinet concertos and clarinet sonatas have been written to showcase the instrument, for example those by Mozart and Weber . Many works of chamber music have been written for the clarinet. Common combinations are: Groups of clarinets playing together have become increasingly popular among clarinet enthusiasts in recent years. Common forms are: The clarinet

3680-528: The BB♭ contrabass to the E♭ soprano . The B ♭ soprano clarinet is the most common type, and is the instrument usually indicated by the word "clarinet". German instrument maker Johann Christoph Denner is generally credited with inventing the clarinet sometime around 1700 by adding a register key to the chalumeau , an earlier single-reed instrument. Over time, additional keywork and airtight pads were added to improve

3772-460: The Classical period , as used by Mozart , typically had five keys. Mozart suggested extending the clarinet downwards by four semitones to C 3 , which resulted in the basset clarinet that was about 18 centimetres (7.1 in) longer, made first by Theodor Lotz. In 1791 Mozart composed the Concerto for Clarinet and Orchestra in A major for this instrument, with passages ranging down to C 3 . By

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3864-409: The parabolic cylinders with equations that can be written as: x 2 + 2 a y = 0. {\displaystyle x^{2}+2ay=0.} In projective geometry , a cylinder is simply a cone whose apex (vertex) lies on the plane at infinity . If the cone is a quadratic cone, the plane at infinity (which passes through the vertex) can intersect the cone at two real lines,

3956-407: The pitch . The player moves between the chalumeau and clarion registers through use of the register key . The open register key stops the fundamental frequency from being reinforced, making the reed vibrate at three times the frequency, which produces a note a twelfth above the original note. Most woodwind instruments have a second register that begins an octave above the first (with notes at twice

4048-489: The surface area of a right circular cylinder, oriented so that its axis is vertical, consists of three parts: The area of the top and bottom bases is the same, and is called the base area , B . The area of the side is known as the lateral area , L . An open cylinder does not include either top or bottom elements, and therefore has surface area (lateral area) L = 2 π r h {\displaystyle L=2\pi rh} The surface area of

4140-486: The 1950s include Stan Hasselgård , Jimmy Giuffre , Eric Dolphy (on bass clarinet), Perry Robinson , and John Carter . In the US, the prominent players on the instrument since the 1980s have included Eddie Daniels , Don Byron , Marty Ehrlich , Ken Peplowski , and others playing in both traditional and contemporary styles. The clarinet is uncommon, but not unheard of, in rock music. Jerry Martini played clarinet on Sly and

4232-411: The E below middle C as their lowest written note. The concert pitch that sounds depends on the individual instrument's transposition (this low E sounds as a concert D 3 on a B ♭ soprano clarinet, a whole tone lower than the written note). Some B ♭ clarinets go to a written E ♭ 3 to match the range of the A clarinet. Bass clarinets have keywork extending the low range to

4324-665: The Family Stone 's 1968 hit, " Dance to the Music ". The Beatles included a trio of clarinets in " When I'm Sixty-Four " from their Sgt. Pepper's Lonely Hearts Club Band album. A clarinet is prominently featured in what a Billboard reviewer termed a "Benny Goodman-flavored clarinet solo" in " Breakfast in America ", the title song from the Supertramp album of the same name . Clarinets feature prominently in klezmer music, which employs

4416-579: The German not only in fingering but also in sound. Richard Strauss noted that "French clarinets have a flat, nasal tone, while German ones approximate the singing voice". Among modern instruments the difference is smaller, although intonation differences persist. The use of Oehler clarinets has continued in German and Austrian orchestras. Today the Boehm system is standard everywhere except in Germany and Austria, where

4508-494: The Latin root clarus ' clear ' . The word is related to Middle English clarion , a type of trumpet, the name of which derives from the same root. The earliest mention of the word "clarinette" being used for the instrument dates to a 1710 order placed by the Duke of Gronsfeld for two instruments made by Jacob Denner . The English form "clarinet" is found as early as 1733, and

4600-555: The Oehler clarinet is still used. Some contemporary Dixieland players continue to use Albert system clarinets. The Reform Boehm system is also popular in the Netherlands. The modern orchestral standard of using soprano clarinets in B ♭ and A has to do partly with the history of the instrument and partly with acoustics, aesthetics, and economics. Before about 1800, due to the lack of airtight pads, practical woodwinds could have only

4692-564: The UK and the US. Around 1860, clarinettist Carl Baermann and instrument maker Georg Ottensteiner developed the patented Baermann/Ottensteiner clarinet. This instrument had new connecting levers, allowing multiple fingering options to operate some of the pads. The Brahms clarinetist Richard Mühlfeld used this clarinet, and the American clarinet soloist Charles Neidich has used a Baermann-Ottensteiner instrument for playing compositions by Brahms. In

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4784-413: The album a "Plus for humour, cool English lyrics and the originality of the whole thing". He hears influences from rock music, punk, heavy metal, cabaret and even Tom Waits in the album. A staff reporter from Skanskan.se described (in Swedish) the experience of arriving at a Tummel gig: "The desire to dance and clap in time arises immediately. Your thoughts turn to blazing camp fires and swirling skirts."

4876-533: The axis of the cylinder is taken as the positive x -axis and A ( x ) = A the area of each elliptic cross-section, thus: V = ∫ 0 h A ( x ) d x = ∫ 0 h π a b d x = π a b ∫ 0 h d x = π a b h . {\displaystyle V=\int _{0}^{h}A(x)dx=\int _{0}^{h}\pi abdx=\pi ab\int _{0}^{h}dx=\pi abh.} Using cylindrical coordinates ,

4968-671: The axles, and the ring keys simplified some complicated fingering patterns. The inventors called this the Boehm clarinet , although Böhm was not involved in its development and the system differed from the one used on the flute. Other key systems have been developed, many built around modifications to the basic Boehm system, including the Full Boehm, Mazzeo , McIntyre, the Benade NX, and the Reform Boehm system , which combined Boehm-system keywork with

5060-440: The bases are disks (regions whose boundary is a circle ) the cylinder is called a circular cylinder . In some elementary treatments, a cylinder always means a circular cylinder. The height (or altitude) of a cylinder is the perpendicular distance between its bases. The cylinder obtained by rotating a line segment about a fixed line that it is parallel to is a cylinder of revolution . A cylinder of revolution

5152-904: The coefficients being real numbers and not all of A , B and C being 0. If at least one variable does not appear in the equation, then the quadric is degenerate. If one variable is missing, we may assume by an appropriate rotation of axes that the variable z does not appear and the general equation of this type of degenerate quadric can be written as A ( x + D 2 A ) 2 + B ( y + E 2 B ) 2 = ρ , {\displaystyle A\left(x+{\frac {D}{2A}}\right)^{2}+B\left(y+{\frac {E}{2B}}\right)^{2}=\rho ,} where ρ = − H + D 2 4 A + E 2 4 B . {\displaystyle \rho =-H+{\frac {D^{2}}{4A}}+{\frac {E^{2}}{4B}}.} If AB > 0 this

5244-416: The cylinder . All the elements of a cylinder have equal lengths. The region bounded by the cylindrical surface in either of the parallel planes is called a base of the cylinder. The two bases of a cylinder are congruent figures. If the elements of the cylinder are perpendicular to the planes containing the bases, the cylinder is a right cylinder , otherwise it is called an oblique cylinder . If

5336-505: The cylinder is a right cylinder. This formula may be established by using Cavalieri's principle . In more generality, by the same principle, the volume of any cylinder is the product of the area of a base and the height. For example, an elliptic cylinder with a base having semi-major axis a , semi-minor axis b and height h has a volume V = Ah , where A is the area of the base ellipse (= π ab ). This result for right elliptic cylinders can also be obtained by integration, where

5428-408: The early Mueller system . The cluster of keys at the bottom of the upper joint (protruding slightly beyond the cork of the joint) are known as the trill keys and are operated by the right hand. The entire weight of the smaller clarinets is supported by the right thumb behind the lower joint on what is called the thumb rest . Larger clarinets are supported with a neck strap or a floor peg. Below

5520-605: The early 20th century, the German clarinetist and clarinet maker Oskar Oehler  [ de ] presented a clarinet using similar fingerings to the Baermann instrument, with significantly more toneholes than the Böhm model. The new clarinet was called the Oehler system clarinet or German clarinet, while the Böhm clarinet has since been called the French clarinet. The French clarinet differs from

5612-505: The figure. The cylindrical surface without the ends is called an open cylinder . The formulae for the surface area and the volume of a right circular cylinder have been known from early antiquity. A right circular cylinder can also be thought of as the solid of revolution generated by rotating a rectangle about one of its sides. These cylinders are used in an integration technique (the "disk method") for obtaining volumes of solids of revolution. A tall and thin needle cylinder has

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5704-403: The frequency of the lower notes). With the aid of an 'octave' or 'register' key, the notes sound an octave higher as the fingering pattern repeats. These instruments are said to overblow at the octave. The clarinet differs, since it acts as a closed-pipe system. The low chalumeau register plays fundamentals, but the clarion (second) register plays the third harmonics, a perfect twelfth higher than

5796-443: The fundamentals. The clarinet is therefore said to overblow at the twelfth. The first several notes of the altissimo (third) range, aided by the register key and venting with the first left-hand hole, play the fifth harmonics, a perfect twelfth plus a major sixth above the fundamentals. The fifth and seventh harmonics are also available, sounding a further sixth and fourth (a flat, diminished fifth) higher respectively; these are

5888-441: The instrument with considerably more keys. In 1812 Müller presented a clarinet with seven finger holes and thirteen keys, which he called "clarinet omnitonic" since it was capable of playing in all keys. It was no longer necessary to use differently tuned clarinets for a different keys. Müller is also considered the inventor of the metal ligature and the thumb rest . During this period the typical embouchure also changed, orienting

5980-688: The instruments. In the 20th century, Igor Stravinsky , Richard Strauss , and Gustav Mahler employed many different clarinets, including the E ♭ or D soprano clarinets, basset horn , bass clarinet , and/or contrabass clarinet . The practice of using different clarinets to achieve tonal variety was common in 20th-century classical music . The E ♭ clarinet, B ♭ clarinet, alto clarinet, bass clarinet, and contra-alto/contrabass clarinet are commonly used in concert bands , which generally have multiple B ♭ clarinets; there are commonly three or even four B ♭ clarinet parts with two to three players per part. The clarinet

6072-448: The key moved away from this range. With the advent of airtight pads and improved key technology, more keys were added to woodwinds and the need for clarinets in multiple keys was reduced. The use of instruments in C, B ♭ , and A persisted, with each used as specified by the composer. The lower-pitched clarinets sound "mellower" (less bright), and the C clarinet—the highest and brightest sounding of these three—fell out of favor as

6164-547: The late 1930s. Beginning in the 1940s, the clarinet faded from its prominent position in jazz. By that time, an interest in Dixieland , a revival of traditional New Orleans jazz, had begun. Pete Fountain was one of the best known performers in this genre. The clarinet's place in the jazz ensemble was usurped by the saxophone, which projects a more powerful sound and uses a less complicated fingering system. The clarinet did not entirely disappear from jazz—prominent players since

6256-549: The late 19th century, particularly for military use. Metal is still used for the bodies of some contra-alto and contrabass clarinets and the necks and bells of nearly all alto and larger clarinets. Mouthpieces are generally made of hard rubber, although some inexpensive mouthpieces may be made of plastic. Other materials such as glass, wood, ivory, and metal have also been used. Ligatures are often made of metal and tightened using one or more adjustment screws; other materials include plastic, string, or fabric. The clarinet uses

6348-399: The lines which are parallel to a given line and which pass through a fixed plane curve in a plane not parallel to the given line. Any line in this family of parallel lines is called an element of the cylindrical surface. From a kinematics point of view, given a plane curve, called the directrix , a cylindrical surface is that surface traced out by a line, called the generatrix , not in

6440-408: The literature the unadorned term cylinder could refer to either of these or to an even more specialized object, the right circular cylinder . The definitions and results in this section are taken from the 1913 text Plane and Solid Geometry by George A. Wentworth and David Eugene Smith ( Wentworth & Smith 1913 ). A cylindrical surface is a surface consisting of all the points on all

6532-588: The main body is a flared end known as the bell. The bell does not amplify the sound but improves the uniformity of the instrument's tone for the lowest notes in each register. For the other notes, the sound is produced almost entirely at the tone holes, and the bell is irrelevant. On basset horns and larger clarinets, the bell curves up and forward and is usually made of metal. The clarinet has its roots in early single-reed instruments used in Ancient Greece and Ancient Egypt . The modern clarinet developed from

6624-503: The mid-20th century, clarinets (particularly student or band models) are also made from plastics, such as acrylonitrile butadiene styrene (ABS). One of the first such blends of plastic was Resonite, a term originally trademarked by Selmer . The Greenline model by Buffet Crampon is made from a composite of resin and the African blackwood powder left over from the manufacture of wooden clarinets. Metal soprano clarinets were popular in

6716-487: The mouthpiece with the reed facing downward. This was first recommended in 1782 and became standard by the 1830s. In the late 1830s, German flute maker Theobald Böhm invented a ring and axle key system for the flute. This key system was first used on the clarinet between 1839 and 1843 by French clarinetist Hyacinthe Klosé in collaboration with instrument maker Louis Auguste Buffet . Their design introduced needle springs for

6808-439: The need for two clarinets, the technical difficulty of playing in remote keys persisted, and the A has remained a standard orchestral instrument. By the late 19th century the orchestral clarinet repertoire contained so much music for clarinet in A that it has remained in use. The orchestra frequently includes two clarinetists, each usually equipped with a B ♭ and an A clarinet, and clarinet parts commonly alternate between

6900-408: The notes of the altissimo register. The lip position and pressure, shaping of the vocal tract, choice of reed and mouthpiece, amount of air pressure created, and evenness of the airflow account for most of the player's ability to control the tone of a clarinet. Their vocal tract will be shaped to resonate at frequencies associated with the tone being produced. Vibrato , a pulsating change of pitch,

6992-585: The now-archaic "clarionet" appears from 1784 until the early 20th century. A person who plays the clarinet is called a clarinetist (in North American English ), a clarinettist (in British English ), or simply a clarinet player. The clarinet's cylindrical bore is the main reason for its distinctive timbre , which varies between the three main registers (the chalumeau , clarion , and altissimo ). The A and B ♭ clarinets have nearly

7084-409: The odd harmonics) are reinforced. This in combination with the cut-off frequency (where a significant drop in resonance occurs) results in the characteristic tone of the clarinet. The bore is cylindrical for most of the tube with an inner bore diameter between 0.575 and 0.585 inches (14.6 and 14.9 mm), but there is a subtle hourglass shape, with the thinnest part below the junction between

7176-589: The other two could cover its range and their sound was considered better. While the clarinet in C began to fall out of general use around 1850, some composers continued to write C parts, e.g., Bizet 's Symphony in C (1855), Tchaikovsky 's Symphony No. 2 (1872), Smetana 's overture to The Bartered Bride (1866) and Má Vlast (1874), Dvořák's Slavonic Dance Op. 46, No. 1 (1878), Brahms ' Symphony No. 4 (1885), Mahler's Symphony No. 6 (1906), and Strauss ' Der Rosenkavalier (1911). While technical improvements and an equal-tempered scale reduced

7268-413: The plane of the directrix, moving parallel to itself and always passing through the directrix. Any particular position of the generatrix is an element of the cylindrical surface. A solid bounded by a cylindrical surface and two parallel planes is called a (solid) cylinder . The line segments determined by an element of the cylindrical surface between the two parallel planes is called an element of

7360-442: The player's mouth. In the past, string was used to bind the reed to the mouthpiece. The formation of the mouth around the mouthpiece and reed is called the embouchure . The reed is on the underside of the mouthpiece, pressing against the player's lower lip, while the top teeth normally contact the top of the mouthpiece (some players roll the upper lip under the top teeth to form what is called a 'double-lip' embouchure). Adjustments in

7452-414: The reed was placed in contact with the upper lip. Around the beginning of the 18th century the German instrument maker Johann Christoph Denner (or possibly his son Jacob Denner) equipped a chalumeau in the alto register with two keys, one of which enabled access to a higher register. This second register did not begin an octave above the first, as with other woodwind instruments, but started an octave and

7544-493: The same bore and nearly identical tonal quality, although the A typically has a slightly warmer sound. The tone of the E ♭ clarinet is brighter and can be heard through loud orchestral textures. The bass clarinet has a characteristically deep, mellow sound, and the alto clarinet sounds similar to the bass, though not as dark. Clarinets have the largest pitch range of common woodwinds. Nearly all soprano and piccolo clarinets have keywork enabling them to play

7636-438: The solid right circular cylinder is made up the sum of all three components: top, bottom and side. Its surface area is therefore A = L + 2 B = 2 π r h + 2 π r 2 = 2 π r ( h + r ) = π d ( r + h ) {\displaystyle A=L+2B=2\pi rh+2\pi r^{2}=2\pi r(h+r)=\pi d(r+h)} where d = 2 r

7728-462: The strength and shape of the embouchure change the tone and intonation. Players sometimes relieve the pressure on the upper teeth and inner lower lip by attaching a pad to the top of the mouthpiece or putting temporary cushioning on the lower teeth. The mouthpiece attaches to the barrel. Tuning can be adjusted by using barrels of varying lengths or by pulling out the barrel to increase the instrument's length. On basset horns and lower clarinets, there

7820-433: The time of Beethoven ( c.  1780–1820 ), the clarinet was a fixed member in the orchestra. The number of keys was limited because their felt pads did not seal tightly. Baltic-German clarinetist and master clarinet maker Iwan Müller remedied this by countersinking the tone holes for the keys and covering the pads with soft leather. These leather pads sealed the holes better than felt, making it possible to equip

7912-451: The tone and playability. Today the clarinet is a standard fixture of the orchestra and concert band and is used in classical music, military bands , klezmer , jazz , and other styles. The word "clarinet" may have entered the English language via the French clarinette (the feminine diminutive of Old French clarin ), or from Provençal clarin ' oboe ' , originating from

8004-399: The tone hole function as if it were larger, but its main function is to allow the air column to follow the curve up through the tone hole (surface tension) instead of "blowing past" it under the increasingly directional frequencies of the upper registers. Covering or uncovering the tone holes varies the length of the pipe, changing the resonant frequencies of the enclosed air column and hence

8096-446: The upper and lower joint. This hourglass shape, although invisible to the naked eye, helps to correct the pitch and responsiveness of the instrument. The diameter of the bore affects the instrument's sound characteristics. The bell at the bottom of the clarinet flares out to improve the tone and tuning of the lowest notes. The fixed reed and fairly uniform diameter of the clarinet result in an acoustical performance approximating that of

8188-477: The volume of a cylindrical shell equals 2 π  ×   average radius ×   altitude ×  thickness. The surface area, including the top and bottom, is given by A = 2 π ( R + r ) h + 2 π ( R 2 − r 2 ) . {\displaystyle A=2\pi \left(R+r\right)h+2\pi \left(R^{2}-r^{2}\right).} Cylindrical shells are used in

8280-554: The volume of a right circular cylinder can be calculated by integration V = ∫ 0 h ∫ 0 2 π ∫ 0 r s d s d ϕ d z = π r 2 h . {\displaystyle {\begin{aligned}V&=\int _{0}^{h}\int _{0}^{2\pi }\int _{0}^{r}s\,\,ds\,d\phi \,dz\\[5mu]&=\pi \,r^{2}\,h.\end{aligned}}} Having radius r and altitude (height) h ,

8372-413: Was a central instrument in jazz, beginning with early jazz players in the 1910s. It remained a signature instrument of the genre through much of the big band era into the 1940s. American players Alphonse Picou , Larry Shields , Jimmie Noone , Johnny Dodds , and Sidney Bechet were all prominent early jazz clarinet players. Swing performers such as Benny Goodman and Artie Shaw rose to prominence in

8464-408: Was named the Boehm system by its designer Hyacinthe Klosé after flute designer Theobald Boehm , but it is not the same as the Boehm system used on flutes. The other main key system is the Oehler system , which is used mostly in Germany and Austria. The related Albert system is used by some jazz , klezmer , and eastern European folk musicians. The Albert and Oehler systems are both based on

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