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Jason Freeman

Convergencefor clarinet, cello, and piano

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nlyProgram Note:

Two things converge if they approach the same place from different directions. This piece begins with two very different gestures: the first is lyrical and expressive, the second rhythmically driving and mechanical. As the gestures repeat and evolve, they sound more and more like each other, until they ultimately lead to new musical material.

In mathematics, something converges if it approaches a limit over time. In this piece, the relative lengths of each section were determined by an integer sequence generated by a mathematical formula. Initially, the numbers in the sequence jump wildly up and down, but the sequence eventually "converges" into an exponential decay function.

Performance Notes:• All accidentals hold for the duration of the measure, but only in the octave in which they appear. Reminder accidentals are frequently provided.

• For all meter changes, =

• Tempo remains constant throughout.

• Notes enclosed in parentheses may be omitted if necessary.

• Cello: The C string should be tuned down a semitone to B for the entire piece. Notated pitches are sounding pitches, not fingered pitches.

• Cello: A snap pizzicato is indicated by While a real snap might be difficult at the speed requested, try to play as harsh of a pizzicato as possible.

• Cello: All harmonics are artificial harmonics. Notated pitches are sounding pitches, not fingered pitches.

• Piano: A muted note is indicated byTo play, lightly place a finger on the corresponding strings, between the hammer and the tuning peg, while playing the note normally with other hand.

Duration: approximately 4'45"

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Cello

Piano

Transparent

Transparent

(artificial harmonics)

throughout

throughout

snap pizz.

Mechanical

Mechanical

6

5 5 5

6

5 5 5

Angular but Lyrical

Angular but Lyrical

arcoIV

8

8

33

3

3

3

sul tasto

(3+2)

(3+2)

3 3

3

3

Convergence Jason FreemanC Score

copyright © 2000 Jason Freeman

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Mechanical

pizz. snap pizz.ord.

14

5 5

14 mute string with hand

5 5 5 5

3 3 3 3

5 5

3 3

Wistful

Wistful

arco

una corda through m. 26

(entire upper staff)

173 3

3

173

3

(3+2)

(3+2) non arp.

193 3

3

19

3

3

3

3 3

3

3

3

3 3 3

sul tasto

3

3

3

Convergence — C Score — 2

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3

23

3 3

3

3

ord.

33

5

3

3

3 3

Mechanical

Mechanical

snap pizz.

26

5 5

26

27

5 5 5

27

5 5 5

mute string with hand

5 5 5

3 3 3

5 5 5 5

3 3 3 3

Convergence — C Score — 3

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Radiant

sub.

arco

31

31

3

6 6

detached

3 3 3

33

3

33

detached

5 5

3 3 3

Convergence — C Score — 4

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5 5

35

9 9 9 9

5 5

9 9 9

37

55

5

3

3

37

6

(2+3)

(2+3)

5

5 5

5 5

3 33

3

6 6

5

33

Convergence — C Score — 5

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40

3

6 6

detached

3 3

detached

(2+3)

(2+3)

3

5 5

3

3 3 3

43

5

43

9 9 9

(gradually to tenuto)

5 3

6

3

Brooding

Brooding

45

453 3

n.

mute string with hand5

Convergence — C Score — 6

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47 3 3 5

(artificial harmonics)

sub.

sub.

5 5 6 6

3

6 3

5 5

pizz. snap pizz.

52

3 3 5

52 5 3

Strident

Strident

cresc. poco a poco

cresc. poco a poco

cresc. poco a poco

53 5

33

535 5

3

5

3

3

5

5 3

3

5

5 3

Convergence — C Score — 7

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(2+3)

sempre

sempre

565 6

5

5

5

563 3

3 3

Focused

Focused

sempre

57

3

57 3

3

3

61

3

61

3

3

3

3

3

3 3

Convergence — C Score — 8

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69

dim. poco a poco

dim. poco a poco

Relaxed

Relaxed

(2+3)

(2+3)

70

703

3

3

3

3

3

(artificial harmonics)

(3+2)

(3+2)

6:5

Transparent

Transparent

74

74

n.

n.

(2+3)

(2+3)

Calm and Expressive

Calm and Expressive

78

783

Convergence — C Score — 9

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81

pizz.

583

83

Convergence — C Score — 10

10/30/00