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      T

       

      TTOs

      Twelve-tone operators represent those operations most frequently used to transform tone rows.  They include:
        Transposition (Tn)
          Moves all the pitch classes in an ordered set or tone row up by the same number of semitones.  We say a set is transposed upward by "n" semitones using the the designation Tn.
        Inversion (I)
          Vertically mirrors the original intervals in an ordered set or tone row.  For example, E, a major third up from C, inverts to Ab, a major third below C.
        Retrograde (R)
          The reverse order of an ordered set or tone row
        Retrograde Inversion (RI)
          The reverse order of the inversion of an ordered set or tone row

      Tafelmusik

      Tafelmusik (German: table-music; = French: musique de table), indicates music used to accompany banquets. Telemann provides a well known example in three sets of Musique de Table, more commonly seen now under the German title, Tafelmusik.
       
       

      Tambourine

      The tambourine is a small single-headed hand-drum with jingles in its wooden frame. It is an instrument of some antiquity, but first found an occasional place in the symphony orchestra only in the 19th century, when it came to be used for exotic effects, as in the Capriccio espagnol and Sheherazade of Rimsky-Korsakov, where it gives a touch of the Spanish and the Middle Eastern respectively.
       
       

      Tam-tam

      The tam-tam is a gong, an instrument of Chinese origin in its Western orchestral form. It is first found in this context towards the end of the 18th century, when it is used for dramatic effect. Gustav Holst makes use of the tam-tam in Mars, from The Planets, and sets of gongs of a more obviously oriental kind are used by Puccini in his operas Madama Butterfly and Turandot.
       
       

      Tanto

      Tanto (Italian: so much) is occasionally found in tempo indications, as in allegro ma non tanto, similar in meaning, if slightly weaker than allegro ma non troppo, allegro but not too much.
       
       

      Tarantella

      The tarantella is a folk-dance from the Southern Italian town of Taranto. A 6/8 metre dance of some rapidity, it has been connected, by a process of false etymology, with the tarantula spider and either the effects of its bite or a means of its cure. There are well known examples in piano pieces by Chopin and by Liszt.
       
       

      Te Deum

      The Te Deum (Latin: We praise Thee, O Lord) is a canticle sung in thanksgiving and forming a part of the Divine Office, where it appears after Matins on Sundays and major feast days. It later formed part of the Church of England morning service. Well known examples are found in two settings by Handel, the Utrecht Te Deum and the Dettingen Te Deum , with more elaborate settings in the 19th century from Berlioz and Bruckner.
       
       

      Temperaments

      Temperaments are the various alterations of strict tuning necessary for practical purposes. Equal temperament, now in general use, involves the division of the octave into twelve equal semitones, a procedure that necessitates some modification of intervals from their true form, according to the ratios of physics. Equal temperament, exemplified in Johann Sebastian Bach’s 48 Preludes and Fugues for the Well-Tempered Clavier, won gradual acceptance in the 18th century, replacing earlier systems of tuning. It has been plausibly suggested that the system of equal temperament was borrowed from China, where its mathematical basis was published towards the end of the 16th century.
       
       

      Tempo

      Tempo (Italian: time) means the speed at which a piece of music is played. Sometimes the exact tempo is given at the beginning of a piece of music with the number of beats to a minute, as measured by a metronome. More often tempo indications give the performer more latitude, although the Hungarian composer Belá Bartók, for example, gives exact timings, often of each section of a work. In much earlier music the tempo is implicit in the notation or in the type of music.
       
       

      Tenor

      The tenor voice is the highest male voice, except for the falsetto or otherwise produced register of the male alto and male soprano. In the Middle Ages the word had a different meaning. The tenor part of a vocal composition was the thematic basis, borrowed often from plainchant. The tenor voice came to assume the principal roles in opera, largely replacing the castrato by the later 18th century. Various forms of tenor voice are demanded, particularly in opera, where the strong Heldentenor, (heroic tenor), met the requirements of Wagner, while other composers made use of lighter-voiced lyric tenors. The word tenor is also used adjectivally to describe instruments with a pitch lying between bass and alto, as, for example, the tenor trombone or, in earlier times, the tenor violin. The tenor clef, a C clef placed on the second line from the top of the five-line stave, is used for the upper registers of the cello and bassoon and for the tenor trombone.

      In early polyphony (c. 1200 to 1500 and later), the part that carries the "cantus firmus" and therefore is the basis for the addition of other parts.  In the earliest stages of polyphony this part was called "vox principalis" (c. 900) or "cantus" (11th century).  It came to be called "tenor" (from the Latin "tenere"; to hold) in connection with e development of melismatic organum, in which te notes of the "cantus" were drawn out and sustained.  In the motets of the 13th and 14th centuries the tenor usually carries only a single syllable or word, because its melody is taken from a melisma (not a fully texted section) of a chant (see Clausula)
       
       

      Ternary form

      Ternary form is a tripartite musical structure, three-part song-form, in which the third part is an exact or modified repetition of the first. Standard examples of ternary form can be heard in the minuet and trio movements of Haydn and Mozart or in the more expanded scherzo and trio movements of Beethoven.
       
       

      Tetrachords

      A collection of four pitches.
       
       

      Theme

      A theme is a complete tune or melody which is of fundamental importance in a piece of music. Thematic metamorphosis or thematic transformation describes a process used by Liszt and others in which a theme may undergo transformation to provide material to sustain other movements or sections of a work, where new and apparently unrelated themes might otherwise have been used.
       
       

      Theremin

      The theremin, an electronic instrument invented by Léon Thérémin, a scientist of French origin who lived and worked in Russia, has the original feature of being played without the performer touching it. Frequencies and dynamics are controlled by the movement of the player’s hands in the air, with pitch varying according to the distance of the right hand from an antenna and dynamics varying by the similar use of the left hand.
       
       

      Through-composed

      Without internal repetitions, especially with respect to the setting of a strophic or other text that might imply the repetition of music for different words;  e.g., a song in which new music is composed for each stanza of text.
       
       

      Timbre

      The quality of a tone as produced by a specific instrument, as distinct from the different quality of the same tone if played on some other instrument.  As shown by Helmholtz and others, tone color (timbre) is determined by the harmonics, or, more precisely, the greater or lesser prominence of one or another harmonic.  The combination of particular harmonics, or partials, for a specific instrument is referred to as it formant.
       
       

      Time

      Time, unlike the word tempo, which means speed or pace, is used in music for the metrical divisions or bar-lengths of a piece of music. These are indicated by two numbers at the beginning of a work or at the introduction of a changed time by two numbers that form a time-signature. The higher of the two numbers shows how many beats there are in a bar, while the lower number shows what kind of note it is. In this way a duple time-signature of 2/4 means that each bar consists of two quarter notes or crotchets or their equivalent in notes of shorter or longer duration. An indication of compound time such as 6/8 shows that there are six quavers or eighth notes in each bar, although in faster speeds these will be in two groups of three. Prime higher numbers such as five or seven necessitate asymmetrical groupings of notes.
       
       

      Timpani

      Timpani, kettledrums, unlike most other drums, have a definite pitch, tuned nowadays by pedals, but in earlier times by taps that served the same purpose, tightening or slackening the skin to produce higher or lower notes. In the later 18th century pairs of timpani were generally used in conjunction with pairs of trumpets, both instruments being of military origin. Beethoven made novel use of the timpani, as in his Violin Concerto, where they play an important part. Other composers made still greater use of the timpani, most eccentrically Berlioz, who calls for sixteen timpani and ten players in his Grande Messe des morts (Requiem).
       
       

      Toccata

      A toccata is an instrumental piece, often designed to display the technical proficiency of a performer and found particularly in keyboard music from the 15th century onwards. There are notable examples in the organ music of Johann Sebastian Bach, with some toccatas containing a series of movements.
       
       

      Tombeau

      Tombeau (French: tomb, tomb-stone) is a title used by French composers in tributes offered to predecessors or contemporaries. Ravel had recourse to this baroque title in his 1914 Tombeau de Couperin.
       
       

      Tonality

      In Western music, the organized relationships of tones with reference to a definite center, the tonic, and generally to a community of pitch classes, called a scale, of which the tonic is the principal tone; sometimes also synonymous with key.  The system of tonality (sometimes termed the tonal system) in use in Western music since about the end of the 17th century embraces twelve major and twelve minor keys, the scales that these keys define, and the subsystem of triads and harmonic functions delimited in turn by those scales, together with the possibility of interchange of keys.  A piece embodying this system is said to be tonal.
       
       

      Tone cluster

      A highly dissonant, closely spaced collection of pitches sounded simultaneously, at the piano, usually by striking a large number of keys with the hand or arm.  The term was coined by Henry Cowell, who made considerable use of tone clusters in his own music from around 1912.
       
       

      Tone poem

      A tone poem (= German: Tondichtung) is a symphonic poem, an orchestral composition that seeks to express extra-musical ideas in music. The term Tondichtung was preferred by Richard Strauss, a master of the form.
       
       

      Tonicization

      The momentary treatment of a pitch other than the tonic as if it were the tonic, most often by the introduction of its own leading tone or fourth scale degree or both.  The resulting harmony is most likely to be the dominant of the tonicized pitch and is in such a case often termed a secondary dominant.  The triad formed on the leading tone of the tonicized pitch may also function in this way.  Tonicization, which may be prolonged beyond a single chord or two is nevertheless a local phenomenon, as distinct from modulation, which implies an actual change in tonic.  The boundary between the two, however, is not always easily fixed in practice.
       
       

      Transcription

      Music may be transcribed or arranged for instruments other than those for which it was originally designed. Well known transcriptions are found among the short pieces arranged for violin and piano by the famous violinist Fritz Kreisler.
       
       

      Transposition

      Music may be transposed when the original key is changed, a process all too necessary in accompanying singers and for whom a transposition of the music down a tone or two may be necessary. Some instruments are known as transposing instruments because the written notes for them sound higher or lower than the apparent written pitch, when they are played.
       
       

      Transverse flute

      The orchestral flute (= Italian: flauto traverso) is transverse, held horizontally, as opposed to the recorder, which is held vertically.
       
       

      Treble

      The treble voice is a voice in the higher register. The word is generally used for the unbroken voice of boys, although the register may be similar to that of the female soprano. Treble instruments are instruments of higher register and the G clef in use for this register is commonly known as the treble clef. Originally the treble or triplum was the third part added above a duplum or second additional part, lying above the lowest part, the tenor of the medieval motet.
       
       

      Tremolo

      Tremolo (Italian: trembling) indicates the quick repetition of a note, particularly in string-playing. This is impossible on the keyboard with a single note, but tremolo effects can be achieved by playing in rapid alternation two notes of a chord.
       
       

      Triangle

      The triangle is now part of the orchestral percussion section. It is an instrument of indefinite pitch made from a steel bar bent into the shape of an equilateral triangle and is played by being struck with a steel beater or, for softer effects, a wooden stick. It was used occasionally in opera in the earlier 18th century, but came into its own with the Turkish music of, for example, Mozart’s opera The Abduction from the Seraglio (Die Entführung aus dem Serail). Its appearance in Liszt’s E flat Piano Concerto in 1853 caused some amusement among hostile critics. Tremolo effects are occasionally demanded.
       
       

      Trichord

      A collection of three pitches, especially any of the four (trichords) making up a twelve-tone row.
       
       

      Trill

      A trill is a musical ornament made by the more or less rapid alternation of a note and the note above, in the classical period generally starting on the latter.
       
       

      Trio

      A trio is a composition designed for three players or the name of a group of three players. The word also indicates the central contrasting section framed by a repeated minuet or scherzo.
       
       

      Trio sonata

      The trio sonata, the most popular of middle and late Baroque instrumental forms, is a sonata for two melody instruments and basso continuo, usually a bass instrument and a chordal instrument, and consequently usually calls for four players. Trio sonatas are found at their best in the work of Corelli at the end of the 17th century. These consist of two sets of a dozen church sonatas (sonate da chiesa) and two sets of a dozen chamber sonatas (sonate da camera). There are distinguished later examples by Telemann, Handel and Johann Sebastian Bach, although the six organ Trio Sonatas by Bach interweave three strands of melody, one for each hand and one for the feet, and are, of course, for one player.
       
       

      Trombone

      The trombone made its first appearance in the middle of the 15th century. It is a brass instrument with a cup-shaped mouthpiece and a slide that enables the player to shorten or lengthen the tube and hence the notes of a particular harmonic series. The early trombone was known in English as a sackbut. The instrument had ceremonial associations and in the later 18th century was only occasionally used in the orchestra, notably by Mozart in his masonic opera The Magic Flute (Die Zauberflöte) and in his Requiem Mass. With Beethoven the trombone becames an accepted if not indispensable part of the orchestra.
       
       

      Troppo

      Troppo (Italian: too much) is found in tempo indications, warning a player not to overdo an effect, as in allegro ma non troppo, allegro but not too much.
       
       

      Troubadour

      Troubadours were the court poets and composers of Southern France in the 12th and 13th centuries. The trouvères flourished particularly in the 13th century to the north of the country. Their surviving music forms an important body of secular song from this period.
       
       

      Trumpet

      The trumpet has a long remoter ancestry. The modern trumpet, a standard member of the brass section of the orchestra, differs from its predecessors in its use of three valves, by which the length of the tube can be changed to produce the notes of the harmonic series from different fundamentals. Baroque trumpeters came to specialise in the use of the upper or clarino register of the valveless natural trumpet, a register in which adjacent notes were possible. Experiments during the 18th century led to the short-lived keyed trumpet, which could play adjacent notes in the lower register as well. This was used by Haydn in his 1796 Trumpet Concerto. The valve trumpet came into relatively common use in the second quarter of the 19th century. Trumpets are built in various keys, although the B flat and C trumpets are now most often found.
       
       

      Tuba

      The tuba provides the bass of the orchestral brass section, with varying numbers of valves to allow the shortening and lengthening of the tube. It was developed in the second quarter of the 19th century.
       
       

      Tubular bells

      Tubular bells, tuned metal tubes suspended from a vertical frame, are used in the percussion section of the modern orchestra for special effects, making their earlier appearance primarily in opera.
       
       

      Tuning-fork

      The tuning-fork, an English invention of the early 18th century, is a two-pronged metal device used to give a note of fixed pitch when it is struck against a hard surface. Its musical use is for the tuning of other instruments to a standard pitch.
       
       

      Turca

      Alla turca (Italian: in the Turkish manner) is found in descriptive titles of music towards the end of the 18th century and thereafter, as in Mozart’s well known Rondo alla Turca, Rondo in the Turkish Style. Turkish music, at that period, was superficially imitated, principally by the use of triangle, cymbals and bass drum, added to a supposedly typical melody of martial character, derived remotely from the Janissary band.
       
       

      Tutti

      Tutti (Italian: all) is used in orchestral music to distinguish the part of a solo instrument from that of the rest of the section or orchestra. In English this Italian plural adjective has come to be used as a noun, as in the phrase ‘an orchestral tutti’, meaning a passage played by the whole orchestra, or at least not specifically by solo instruments.
       
       

      Twelve-tone row

      An ordered collection containing all twelve unduplicated pitch classes used as the basis for twelve-tone composition.  Twelve-tone rows are by definition ordered.  Therefore, pitch classes remain adjacent to the same pitch classes regardless of how the row is transformed.
       
       

      Twelve-tone composition

      Twelve-note composition is composition by the use of the twelve semitones of the octave in a predetermined order or series, which may be inverted, written in retrograde form or in retrograde inversion, and transposed (See TTOs). The system of composition, developed by Arnold Schoenberg in the early 20th century, has had a strong influence over the course of music of the 20th century (see Serialism).