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--INSTRUMENTS--
ACCORDEON
ALTO
AUTOHARPE
BANJO
BASSE
BASSON
BATTERIE
BOUZOUKI
CHORALE - CHAN…
CITHARE
CLAIRON
CLARINETTE
CLAVECIN
CLOCHES
COR
COR ANGLAIS
CORNEMUSE
CORNET
DEEJAY
DIDGERIDOO
DULCIMER
EUPHONIUM
FANFARE - BAND…
FLUTE A BEC
FLUTE DE PAN
FLUTE TRAVERSI…
FORMATION MUSI…
GUITARE
GUITARE LAP ST…
HARMONICA
HARPE
HAUTBOIS
LIVRES
LUTH
MANDOLINE
MARIMBA
OCARINA
ORCHESTRE
ORGUE
PERCUSSION
PIANO
SAXOPHONE
SYNTHETISEUR
TROMBONE
TROMPETTE
TUBA
UKULELE
VIBRAPHONE
VIOLON
VIOLONCELLE
XYLOPHONE
Percussion
Non classifié
12 477
Piano & claviers
Piano seul
144
Piano, Voix
58
Piano, Voix et Guitare
48
Accompagnement Piano
45
Piano (partie séparée)
39
Piano Facile
16
2 Pianos, 4 mains
12
Orgue
11
1 Piano, 4 mains
7
Accordéon
7
Instruments en Do
7
Clavecin
4
Ensemble d'Accordéons
3
Piano Trio: piano, violon, violoncelle
2
Piano Quintette: piano, 2 violons, alto, violoncelle
2
Piano Quatuor: piano, 2 violons, violoncelle
1
Orgue, Trompette (duo)
1
+ 12 instrumentations
Retracter
Guitares
Guitare (partie séparée)
81
Guitare
63
Guitare notes et tablatures
37
Ligne De Mélodie, (Paroles) et Accords
13
Basse electrique
9
4 Guitares (Quatuor)
8
Ensemble de guitares
7
Ukulele
6
2 Guitares (duo)
3
3 Guitares (trio)
3
Paroles et Accords
2
Partitions De Groupes
1
Piano, Guitare (duo)
1
+ 8 instrumentations
Retracter
Voix
Pack Instrumental pour Chorale
2 022
Chorale SATB
1 716
Chorale 3 parties
369
Chorale TTBB
246
Chorale Unison
222
Chorale SSAA
176
Chorale 2 parties
168
Chorale
37
Voix duo, Piano
19
Voix duo
10
Soli, choeur mixte et accompagnement
9
Chorale SSATBB
8
Male Voice
8
Voix d'Enfants
5
Chorale SSATB
5
Voix Soprano
3
Chorale SSAATTBB
3
Voix Soprano, Piano
2
Voix moyenne, Piano
2
Voix seule
2
Voix Baryton, Piano
1
Chorale SSAATB
1
Voix haute
1
Voix Alto, Piano
1
Chorale SATTBB, Clavier
1
+ 20 instrumentations
Retracter
Vents
Saxophone (partie séparée)
256
Clarinette (partie séparée)
70
Ensemble de saxophones
67
2 Saxophones (duo)
65
Quatuor de Saxophones: 4 saxophones
46
Flute (partie séparée)
44
2 Clarinettes (duo)
42
Flûte traversière et Piano
40
Flûte, Hautbois, Clarinette, Basson
38
Hautbois, Piano (duo)
37
Ensemble de Clarinettes
35
2 Flûtes traversières (duo)
31
Quatuor de Clarinettes: 4 clarinettes
31
2 Flûte à bec (duo)
27
Clarinette et Piano
27
Hautbois (partie séparée)
26
Saxophone Alto et Piano
26
3 Clarinettes (trio)
22
2 Hautbois (duo)
21
Ensemble de Flûtes
21
Quintette à Vent: flûte, Hautbois, basson, clarinette, Cor
21
Saxophone Tenor et Piano
19
Quatuor de Flûtes : 4 flûtes
18
3 Saxophones (trio)
15
Trio de Flûtes: 3 flûtes
15
Clarinette Basse, Piano
13
Flûte traversière
13
Saxophone Baryton, Piano
12
Clarinette
10
Saxophone Alto
9
Flûte et Guitare
9
Saxophone, Clarinette (duo)
9
Flûte, Violon, Piano
8
Quintette de Clarinettes: 5 clarinettes
8
Saxophone Soprano et Piano
7
Saxophone Tenor
7
4 Hautbois
7
3 Hautbois
7
Flûte, Clarinette (duo)
6
Clarinette, Trompette (duo)
6
Clarinette, Violon (duo)
6
Flûte, Violon
5
Quintette de Saxophone: 5 saxophones
5
Flûte, Saxophone (duo)
4
Hautbois, Clarinette (duo)
3
Hautbois, Flûte
3
Flûte à bec Soprano
3
Clarinette et Alto
2
Flûte, Trompette (duo)
2
Ensemble à vent
2
3 Flûtes à bec (trio)
1
2 Saxophones, Piano
1
Cornemuse
1
Saxophone
1
Flûte, Hautbois, Clarinette (trio)
1
Quintette de Flûte : 5 flûtes
1
Hautbois
1
Saxophone et Guitare
1
Quatuor de Flûtes à bec
1
Saxophone et Orchestre
1
Clarinette, Basson (duo)
1
Flûte, Violon et Violoncelle
1
Flûte, Clarinette et Basson
1
Hautbois, Basson et Piano
1
Ensemble De Flûte à bec
1
Hautbois, Basson (duo)
1
Clarinette, Violoncelle (duo)
1
Flûte, Violoncelle
1
Hautbois, Clarinette, Basson (trio d'anches)
1
+ 64 instrumentations
Retracter
Cuivres
Trombone (partie séparée)
239
Trompette (partie séparée)
175
Quintette de Cuivres: 2 trompettes, Cor, trombone, tuba
121
Quatuor de Cuivres : 2 trompettes, trombone, tuba
79
Cor (partie séparée)
54
Quatuor de cuivres: 4 trombones
45
Tuba (partie séparée)
44
Trompette, Piano
35
2 Trompettes (duo)
24
Trombone et Piano
21
2 Cors (duo)
20
2 Trombones (duo)
20
2 Tubas (duo)
16
Tuba et Piano
14
Cor et Piano
14
Trompette
11
Quatuor de Cuivres
11
Trombone
8
Ensemble de Cors
8
Cor
7
Trompette, Saxophone (duo)
6
Tuba
6
Quatuor de Cuivres: 2 trompettes, Cor, trombone
6
Ensemble de Trombones
6
Euphonium
5
Trompette, Trombone (duo)
4
4 Tubas
3
Ensemble de Trompettes
3
Euphonium, Piano (duo)
2
2 Euphoniums et 2 Tubas
2
3 Trombones (trio)
2
Quatuor de cuivres: 4 cors
2
3 Trompettes (trio)
2
Trombone et orchestre
2
Trompette, violon (duo)
1
Cor, Violoncelle (duo)
1
+ 31 instrumentations
Retracter
Cordes
Quatuor à cordes: 2 violons, alto, violoncelle
172
Contrebasse (partie séparée)
87
Violon (partie séparée)
59
Violon et Piano
43
Violon
31
2 Violoncelles (duo)
26
Alto, Piano
22
2 Violons (duo)
21
2 Altos (duo)
21
2 Contrebasses (duo)
19
Alto (partie séparée)
19
Violoncelle, Piano
17
Contrebasse, Piano (duo)
15
Violoncelle et Marimba
15
Harpe
12
Violoncelle
11
Trio à Cordes: violon, alto, violoncelle
10
Violoncelle (partie séparée)
9
Violon, Violoncelle (duo)
8
Trio à cordes: 3 altos
7
Trio à Cordes: 3 violoncelles
7
Alto seul
7
Trio à cordes: 3 violins
6
Violon, Alto (duo)
6
Contre Basse
5
Quintette à cordes: 2 violons, alto, violoncelle, basse
4
Quatuor à cordes: 4 violons
3
Violoncelle, Contrebasse (duo)
3
Alto, Violoncelle (duo)
2
4 Contrebasses
2
Harpe et Piano
2
4 Violoncelles
2
Piano Trio: Violon, Alto, Piano
1
Violon, Guitare (duo)
1
3 Harpes
1
Trio à Cordes: 2 violons, alto
1
Violoncelle , Guitare (duo)
1
Harpe, Violoncelle (duo)
1
Trio à Cordes: 2 violons, violoncelle
1
Alto, Guitare (duo)
1
2 Harpes (duo)
1
Ensemble de Violoncelles
1
3 Contrebasses
1
+ 38 instrumentations
Retracter
Orchestre & Percussions
Orchestre d'harmonie
9 167
Percussion (partie séparée)
9 156
Percussion
3 170
Ensemble de Percussions
1 557
Fanfare
1 275
Ensemble Jazz
1 220
Batterie
1 056
Orchestre
989
Orchestre à Cordes
852
Cloches
541
Timbales
440
Ensemble de cuivres
265
Orchestre de chambre
159
Xylophone
159
Marimba
94
Caisse Claire
87
Batterie (partie séparée)
49
Jazz combo
33
Vibraphone, Piano
27
Xylophone, Piano
21
Timbales (partie séparée)
17
Vibraphone
17
Vibraphone et Marimba
14
3 Percussions
11
2 Percussions
8
Xylophone ou Marimba ou Vibraphone
7
Instrumentation Flexible
6
Ensemble d'École
6
Mariachi
4
Piano et Orchestre
4
Cajon
2
2 Caisses Claires (duo)
2
4 Percussions
2
Bongos
2
Big band
1
Marimba ou Xylophone et Piano
1
2 Xylophones
1
Conga
1
Bodhran
1
Voix Mezzo-Soprano, Orchestre
1
Quintette de Cuivres: autres combinaisons
1
Marimba, Saxophone (duo)
1
+ 37 instrumentations
Retracter
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TRI ET FILTRES
TRI ET FILTRES
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--INSTRUMENTS--
ACCORDEON
ALTO
AUTOHARPE
BANJO
BASSE
BASSON
BATTERIE
BOUZOUKI
CHORALE - CHAN…
CITHARE
CLAIRON
CLARINETTE
CLAVECIN
CLOCHES
COR
COR ANGLAIS
CORNEMUSE
CORNET
DEEJAY
DIDGERIDOO
DULCIMER
EUPHONIUM
FANFARE - BAND…
FLUTE A BEC
FLUTE DE PAN
FLUTE TRAVERSI…
FORMATION MUSI…
GUITARE
GUITARE LAP ST…
HARMONICA
HARPE
HAUTBOIS
LIVRES
LUTH
MANDOLINE
MARIMBA
OCARINA
ORCHESTRE
ORGUE
PERCUSSION
PIANO
SAXOPHONE
SYNTHETISEUR
TROMBONE
TROMPETTE
TUBA
UKULELE
VIBRAPHONE
VIOLON
VIOLONCELLE
XYLOPHONE
style (tous)
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MARIAGE - AMOUR - BA…
MEDIEVAL - RENAISSAN…
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Piano et Orchestre
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VARIANTS (for piano and orchestra)
Piano et Orchestre
Bassoon,Cello,Clarinet,Double Bass,Flute,Horn,Multi-Percussion,Oboe,Piano,Timpani,Trombone…
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Bassoon,Cello,Clarinet,Double Bass,Flute,Horn,Multi-Percussion,Oboe,Piano,Timpani,Trombone,Trumpet,Tuba,Viola,Violin - Digital Download SKU: A0.1057960 Composed by Jordan Grigg. Contemporary,Standards. Full Performance. Duration 413. Jordan Grigg #3628987. Published by Jordan Grigg (A0.1057960).
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Piano et Orchestre
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Jordan Grigg
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VARIANTS
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Jordan Grigg
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SheetMusicPlus
Passions (for piano and orchestra)
Piano et Orchestre
Bassoon,Cello,Clarinet,Double Bass,Flute,Hand Percussion,Horn,Oboe,Piano,Timpani,Trombone,…
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Bassoon,Cello,Clarinet,Double Bass,Flute,Hand Percussion,Horn,Oboe,Piano,Timpani,Trombone,Trumpet,Tuba,Viola,Violin - Digital Download SKU: A0.1057446 Composed by Jordan Grigg. 20th Century,Concert,Instructional,Standards. Full Performance. Duration 222. Jordan Grigg #3464809. Published by Jordan Grigg (A0.1057446).
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Piano et Orchestre
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Jordan Grigg
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Passions
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Jordan Grigg
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SheetMusicPlus
Fantasy for Piano and Orchestra
Piano et Orchestre
Bassoon,Cello,Clarinet,Double Bass,Flute,Horn,Multi-Percussion,Oboe,Piano,Timpani,Trombone…
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Bassoon,Cello,Clarinet,Double Bass,Flute,Horn,Multi-Percussion,Oboe,Piano,Timpani,Trombone,Trumpet,Tuba,Viola,Violin - Digital Download SKU: A0.1058105 Composed by Jordan Grigg. Concert,Contemporary,Instructional,Standards. Full Performance. Duration 376. Jordan Grigg #5360293. Published by Jordan Grigg (A0.1058105).
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Piano et Orchestre
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Jordan Grigg
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Fantasy for Piano and Orchestra
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Jordan Grigg
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SheetMusicPlus
Concerto
Piano et Orchestre
Piano and orchestra - difficult - Digital Download For piano and orchestra. Composed by …
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Piano and orchestra - difficult - Digital Download For piano and orchestra. Composed by Gyorgy Ligeti (1923-2006). This edition: solo part. Downloadable. Duration 24 minutes. Schott Music - Digital #Q53630. Published by Schott Music - Digital
I composed the Piano Concerto in two stages: the first three movements during the years 1985-86, the next two in 1987, the final autograph of the last movement was ready by January, 1988. The concerto is dedicated to the American conductor Mario di Bonaventura. . The markings of the movements are the following: . 1. Vivace molto ritmico e preciso . 2. Lento e deserto . 3. Vivace cantabile . 4. Allegro risoluto . 5. Presto luminoso. The first performance of the three-movement Concerto was on October 23rd, 1986 in Graz. Mario di Bonaventura conducted while his brother, Anthony di Bonaventura, was the soloist. Two days later the performance was repeated in the Vienna Konzerthaus. After hearing the work twice, I came to the conclusion that the third movement is not an adequate finale. my feeling of form demanded continuation, a supplement. That led to the composing of the next two movements. The premiere of the whole cycle took place on February 29th, 1988, in the Vienna Konzerthaus with the same conductor and the same pianist. . The orchestra consisted of the following: flute, oboe, clarinet, bassoon, horn, trumpet, tenor trombone, percussion and strings. The flautist also plays the piccoIo, the clarinetist, the alto ocarina. The percussion is made up of diverse instruments, which one musician-virtuoso can play. It is more practical, however, if two or three musicians share the instruments. Besides traditional instruments the percussion part calls also for two simple wind instruments: the swanee whistle and the harmonica. The string instrument parts (two violins, viola, cello and doubles bass) can be performed soloistic since they do not contain divisi. For balance, however, the ensemble playing is recommended, for example 6-8 first violins, 6-8 second, 4-6 violas, 4-6 cellos, 3-4 double basses. . In the Piano Concerto I realized new concepts of harmony and rhythm. . The first movement is entirely written in bimetry: simultaneously 12/8 and 4/4 (8/8). This relates to the known triplet on a doule relation and in itself is nothing new. Because, however, I articulate 12 triola and 8 duola pulses, an entangled, up till now unheard kind of polymetry is created. The rhythm is additionally complicated because of asymmetric groupings inside two speed layers, which means accents are asymmetrically distributed. These groups, as in the talea technique, have a fixed, continuously repeating rhythmic structures of varying lengths in speed layers of 12/8 and 4/4. This means that the repeating pattern in the 12/8 level and the pattern in the 4/4 level do not coincide and continuously give a kaleidoscope of renewing combinations. . In our perception we quickly resign from following particular rhythmical successions and that what is going on in time appears for us as something static, resting. This music, if it is played properly, in the right tempo and with the right accents inside particular layers, after a certain time rises, as it were, as a plane after taking off: the rhythmic action, too complex to be able to follow in detail, begins flying. This diffusion of individual structures into a different global structure is one of my basic compositional concepts: from the end of the fifties, from the orchestral works Apparitions and Atmospheres I continuously have been looking for new ways of resolving this basic question. The harmony of the first movement is based on mixtures, hence on the parallel leading of voices. This technique is used here in a rather simple form. later in the fourth movement it will be considerably developed. . The second movement (the only slow one amongst five movements) also has a talea type of structure, it is however much simpler rhythmically, because it contains only one speed layer. The melody is consisted in the development of a rigorous interval mode in which two minor seconds and one major second alternate therefore nine notes inside an octave. This mode is transposed into different degrees and it also determines the harmony of the movement. however, in closing episode in the piano part there is a combination of diatonics (white keys) and pentatonics (black keys) led in brilliant, sparkling quasimixtures, while the orchestra continues to play in the nine tone mode. . In this movement I used isolated sounds and extreme registers (piccolo in a very low register, bassoon in a very high register, canons played by the swanee whistle, the alto ocarina and brass with a harmon-mute' damper, cutting sound combinations of the piccolo, clarinet and oboe in an extremely high register, also alternating of a whistle-siren and xylophone). The third movement also has one speed layer and because of this it appears as simpler than the first, but actually the rhythm is very complicated in a different way here. Above the uninterrupted, fast and regular basic pulse, thanks to the asymmetric distribution of accents, different types of hemiolas and inherent melodical patterns appear (the term was coined by Gerhard Kubik in relation to central African music). If this movement is played with the adequate speed and with very clear accentuation, illusory rhythmic-melodical figures appear. These figures are not played directly. they do not appear in the score, but exist only in our perception as a result of co-operation of different voices. . Already earlier I had experimented with illusory rhythmics, namely in Poeme symphonique for 100 metronomes (1962), in Continuum for harpsichord (1968), in Monument for two pianos (1976), and especially in the first and sixth piano etude Desordre and Automne a Varsovie (1985). . The third movement of the Piano Concerto is up to now the clearest example of illusory rhythmics and illusory melody. In intervallic and chordal structure this movement is based on alternation, and also inter-relation of various modal and quasi-equidistant harmony spaces. The tempered twelve-part division of the octave allows for diatonical and other modal interval successions, which are not equidistant, but are based on the alternation of major and minor seconds in different groups. The tempered system also allows for the use of the anhemitonic pentatonic scale (the black keys of the piano). From equidistant scales, therefore interval formations which are based on the division of an octave in equal distances, the twelve-tone tempered system allows only chromatics (only minor seconds) and the six-tone scale (the whole-tone: only major seconds). . Moreover, the division of the octave into four parts only minor thirds) and three parts (three major thirds) is possible. In several music cultures different equidistant divisions of an octave are accepted, for example, in the Javanese slendro into five parts, in Melanesia into seven parts, popular also in southeastern Asia, and apart from this, in southern Africa. This does not mean an exact equidistance: there is a certain tolerance for the inaccurateness of the interval tuning. . These exotic for us, Europeans, harmony and melody have attracted me for several years. However I did not want to re-tune the piano (microtone deviations appear in the concerto only in a few places in the horn and trombone parts led in natural tones). After the period of experimenting, I got to pseudo- or quasiequidistant intervals, which is neither whole-tone nor chromatic: in the twelve-tone system, two whole-tone scales are possible, shifted a minor second apart from each other. Therefore, I connect these two scales (or sound resources), and for example, places occur where the melodies and figurations in the piano part are created from both whole tone scales. in one band one six-tone sound resource is utilized, and in the other hand, the complementary. In this way whole-tonality and chromaticism mutually reduce themselves: a type of deformed equidistancism is formed, strangely brilliant and at the same time slanting. illusory harmony, indeed being created inside the tempered twelve-tone system, but in sound quality not belonging to it anymore. . The appearance of such slantedequidistant harmony fields alternating with modal fields and based on chords built on fifths (mainly in the piano part), complemented with mixtures built on fifths in the orchestra, gives this movement an individual, soft-metallic colour (a metallic sound resulting from harmonics). . The fourth movement was meant to be the central movement of the Concerto. Its melodc-rhythmic elements (embryos or fragments of motives) in themselves are simple. The movement also begins simply, with a succession of overlapping of these elements in the mixture type structures. Also here a kaleidoscope is created, due to a limited number of these elements - of these pebbles in the kaleidoscope - which continuously return in augmentations and diminutions. . Step by step, however, so that in the beginning we cannot hear it, a compiled rhythmic organization of the talea type gradually comes into daylight, based on the simultaneity of two mutually shifted to each other speed layers (also triplet and duoles, however, with different asymmetric structures than in the first movement). While longer rests are gradually filled in with motive fragments, we slowly come to the conclusion that we have found ourselves inside a rhythmic-melodical whirl: without change in tempo, only through increasing the density of the musical events, a rotation is created in the stream of successive and compiled, augmented and diminished motive fragments, and increasing the density suggests acceleration. . Thanks to the periodical structure of the composition, always new but however of the same (all the motivic cells are similar to earlier ones but none of them are exactly repeated. the general structure is therefore self-similar), an impression is created of a gigantic, indissoluble network. Also, rhythmic structures at first hidden gradually begin to emerge, two independent speed layers with their various internal accentuations. . This great, self-similar whirl in a very indirect way relates to musical associations, which came to my mind while watching the graphic projection of the mathematical sets of Julia and of Mandelbrot made with the help of a computer. I saw these wonderful pictures of fractal creations, made by scientists from Brema, Peitgen and Richter, for the first time in 1984. From that time they have played a great role in my musical concepts. This does not mean, however, that composing the fourth movement I used mathematical methods or iterative calculus. indeed, I did use constructions which, however, are not based on mathematical thinking, but are rather craftman's constructions (in this respect, my attitude towards mathematics is similar to that of the graphic artist Maurits Escher). .I am concerned rather with intuitional, poetic, synesthetic correspondence, not on the scientific, but on the poetic level of thinking. . The fifth, very short Presto movement is harmonically very simple, but all the more complicated in its rhythmic structure: it is based on the further development of ''inherent patterns of the third movement. The quasi-equidistance system dominates harmonically and melodically in this movement, as in the third, alternating with harmonic fields, which are based on the division of the chromatic whole into diatonics and anhemitonic pentatonics. Polyrhythms and harmonic mixtures reach their greatest density, and at the same time this movement is strikingly light, enlightened with very bright colours: at first it seems chaotic, but after listening to it for a few times it is easy to grasp its content: many autonomous but self-similar figures which crossing themselves. . I present my artistic credo in the Piano Concerto: I demonstrate my independence from criteria of the traditional avantgarde, as well as the fashionable postmodernism. Musical illusions which I consider to be also so important are not a goal in itself for me, but a foundation for my aesthetical attitude. I prefer musical forms which have a more object-like than processual character. Music as frozen time, as an object in imaginary space evoked by music in our imagination, as a creation which really develops in time, but in imagination it exists simultaneously in all its moments. The spell of time, the enduring its passing by, closing it in a moment of the present is my main intention as a composer. . (Gyorgy Ligeti)I composed the Piano Concerto in two stages: the first three movements during the years 1985-86, the next two in 1987, the final autograph of the last movement was ready by January, 1988. The concerto is dedicated to the American conductor Mario di Bonaventura. .
The markings of the movements are the following: .
1. Vivace molto ritmico e preciso .
2. Lento e deserto .
3. Vivace cantabile .
4. Allegro risoluto .
5. Presto luminoso.
The first performance of the three-movement Concerto was on October 23rd, 1986 in Graz. Mario di Bonaventura conducted while his brother, Anthony di Bonaventura, was the soloist. Two days later the performance was repeated in the Vienna Konzerthaus. After hearing the work twice, I came to the conclusion that the third movement is not an adequate finale. my feeling of form demanded continuation, a supplement. That led to the composing of the next two movements. The premiere of the whole cycle took place on February 29th, 1988, in the Vienna Konzerthaus with the same conductor and the same pianist. .
The orchestra consisted of the following: flute, oboe, clarinet, bassoon, horn, trumpet, tenor trombone, percussion and strings. The flautist also plays the piccoIo, the clarinetist, the alto ocarina. The percussion is made up of diverse instruments, which one musician-virtuoso can play. It is more practical, however, if two or three musicians share the instruments. Besides traditional instruments the percussion part calls also for two simple wind instruments: the swanee whistle and the harmonica. The string instrument parts (two violins, viola, cello and doubles bass) can be performed soloistic since they do not contain divisi. For balance, however, the ensemble playing is recommended, for example 6-8 first violins, 6-8 second, 4-6 violas, 4-6 cellos, 3-4 double basses. .
In the Piano Concerto I realized new concepts of harmony and rhythm. .
The first movement is entirely written in bimetry: simultaneously 12/8 and 4/4 (8/8). This relates to the known triplet on a doule relation and in itself is nothing new. Because, however, I articulate 12 triola and 8 duola pulses, an entangled, up till now unheard kind of polymetry is created. The rhythm is additionally complicated because of asymmetric groupings inside two speed layers, which means accents are asymmetrically distributed. These groups, as in the talea technique, have a fixed, continuously repeating rhythmic structures of varying lengths in speed layers of 12/8 and 4/4. This means that the repeating pattern in the 12/8 level and the pattern in the 4/4 level do not coincide and continuously give a kaleidoscope of renewing combinations. .
In our perception we quickly resign from following particular rhythmical successions and that what is going on in time appears for us as something static, resting. This music, if it is played properly, in the right tempo and with the right accents inside particular layers, after a certain time rises, as it were, as a plane after taking off: the rhythmic action, too complex to be able to follow in detail, begins flying. This diffusion of individual structures into a different global structure is one of my basic compositional concepts: from the end of the fifties, from the orchestral works Apparitions and Atmospheres I continuously have been looking for new ways of resolving this basic question. The harmony of the first movement is based on mixtures, hence on the parallel leading of voices. This technique is used here in a rather simple form. later in the fourth movement it will be considerably developed. .
The second movement (the only slow one amongst five movements) also has a talea type of structure, it is however much simpler rhythmically, because it contains only one speed layer. The melody is consisted in the development of a rigorous interval mode in which two minor seconds and one major second alternate therefore nine notes inside an octave. This mode is transposed into different degrees and it also determines the harmony of the movement. however, in closing episode in the piano part there is a combination of diatonics (white keys) and pentatonics (black keys) led in brilliant, sparkling quasimixtures, while the orchestra continues to play in the nine tone mode. .
In this movement I used isolated sounds and extreme registers (piccolo in a very low register, bassoon in a very high register, canons played by the swanee whistle, the alto ocarina and brass with a harmon-mute' damper, cutting sound combinations of the piccolo, clarinet and oboe in an extremely high register, also alternating of a whistle-siren and xylophone). The third movement also has one speed layer and because of this it appears as simpler than the first, but actually the rhythm is very complicated in a different way here. Above the uninterrupted, fast and regular basic pulse, thanks to the asymmetric distribution of accents, different types of hemiolas and inherent melodical patterns appear (the term was coined by Gerhard Kubik in relation to central African music). If this movement is played with the adequate speed and with very clear accentuation, illusory rhythmic-melodical figures appear. These figures are not played directly. they do not appear in the score, but exist only in our perception as a result of co-operation of different voices. .
Already earlier I had experimented with illusory rhythmics, namely in Poeme symphonique for 100 metronomes (1962), in Continuum for harpsichord (1968), in Monument for two pianos (1976), and especially in the first and sixth piano etude Desordre and Automne a Varsovie (1985). .
The third movement of the Piano Concerto is up to now the clearest example of illusory rhythmics and illusory melody. In intervallic and chordal structure this movement is based on alternation, and also inter-relation of various modal and quasi-equidistant harmony spaces. The tempered twelve-part division of the octave allows for diatonical and other modal interval successions, which are not equidistant, but are based on the alternation of major and minor seconds in different groups. The tempered system also allows for the use of the anhemitonic pentatonic scale (the black keys of the piano). From equidistant scales, therefore interval formations which are based on the division of an octave in equal distances, the twelve-tone tempered system allows only chromatics (only minor seconds) and the six-tone scale (the whole-tone: only major seconds). .
Moreover, the division of the octave into four parts only minor thirds) and three parts (three major thirds) is possible. In several music cultures different equidistant divisions of an octave are accepted, for example, in the Javanese slendro into five parts, in Melanesia into seven parts, popular also in southeastern Asia, and apart from this, in southern Africa. This does not mean an exact equidistance: there is a certain tolerance for the inaccurateness of the interval tuning. .
These exotic for us, Europeans, harmony and melody have attracted me for several years. However I did not want to re-tune the piano (microtone deviations appear in the concerto only in a few places in the horn and trombone parts led in natural tones). After the period of experimenting, I got to pseudo- or quasiequidistant intervals, which is neither whole-tone nor chromatic: in the twelve-tone system, two whole-tone scales are possible, shifted a minor second apart from each other. Therefore, I connect these two scales (or sound resources), and for example, places occur where the melodies and figurations in the piano part are created from both whole tone scales. in one band one six-tone sound resource is utilized, and in the other hand, the complementary. In this way whole-tonality and chromaticism mutually reduce themselves: a type of deformed equidistancism is formed, strangely brilliant and at the same time slanting. illusory harmony, indeed being created inside the tempered twelve-tone system, but in sound quality not belonging to it anymore. .
The appearance of such slantedequidistant harmony fields alternating with modal fields and based on chords built on fifths (mainly in the piano part), complemented with mixtures built on fifths in the orchestra, gives this movement an individual, soft-metallic colour (a metallic sound resulting from harmonics). .
The fourth movement was meant to be the central movement of the Concerto. Its melodc-rhythmic elements (embryos or fragments of motives) in themselves are simple. The movement also begins simply, with a succession of overlapping of these elements in the mixture type structures. Also here a kaleidoscope is created, due to a limited number of these elements - of these pebbles in the kaleidoscope - which continuously return in augmentations and diminutions. .
Step by step, however, so that in the beginning we cannot hear it, a compiled rhythmic organization of the talea type gradually comes into daylight, based on the simultaneity of two mutually shifted to each other speed layers (also triplet and duoles, however, with different asymmetric structures than in the first movement). While longer rests are gradually filled in with motive fragments, we slowly come to the conclusion that we have found ourselves inside a rhythmic-melodical whirl: without change in tempo, only through increasing the density of the musical events, a rotation is created in the stream of successive and compiled, augmented and diminished motive fragments, and increasing the density suggests acceleration. .
Thanks to the periodical structure of the composition, always new but however of the same (all the motivic cells are similar to earlier ones but none of them are exactly repeated. the general structure is therefore self-similar), an impression is created of a gigantic, indissoluble network. Also, rhythmic structures at first hidden gradually begin to emerge, two independent speed layers with their various internal accentuations. .
This great, self-similar whirl in a very indirect way relates to musical associations, which came to my mind while watching the graphic projection of the mathematical sets of Julia and of Mandelbrot made with the help of a computer. I saw these wonderful pictures of fractal creations, made by scientists from Brema, Peitgen and Richter, for the first time in 1984. From that time they have played a great role in my musical concepts. This does not mean, however, that composing the fourth movement I used mathematical methods or iterative calculus. indeed, I did use constructions which, however, are not based on mathematical thinking, but are rather craftman's constructions (in this respect, my attitude towards mathematics is similar to that of the graphic artist Maurits Escher). .I am concerned rather with intuitional, poetic, synesthetic correspondence, not on the scientific, but on the poetic level of thinking. .
The fifth, very short Presto movement is harmonically very simple, but all the more complicated in its rhythmic structure: it is based on the further development of ''inherent patterns of the third movement. The quasi-equidistance system dominates harmonically and melodically in this movement, as in the third, alternating with harmonic fields, which are based on the division of the chromatic whole into diatonics and anhemitonic pentatonics. Polyrhythms and harmonic mixtures reach their greatest density, and at the same time this movement is strikingly light, enlightened with very bright colours: at first it seems chaotic, but after listening to it for a few times it is easy to grasp its content: many autonomous but self-similar figures which crossing themselves. .
I present my artistic credo in the Piano Concerto: I demonstrate my independence from criteria of the traditional avantgarde, as well as the fashionable postmodernism. Musical illusions which I consider to be also so important are not a goal in itself for me, but a foundation for my aesthetical attitude. I prefer musical forms which have a more object-like than processual character. Music as frozen time, as an object in imaginary space evoked by music in our imagination, as a creation which really develops in time, but in imagination it exists simultaneously in all its moments. The spell of time, the enduring its passing by, closing it in a moment of the present is my main intention as a composer. .
(Gyorgy Ligeti)
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Piano et Orchestre
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Gyorgy Ligeti (1923-2006)
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