cross matrix

11
XINGZIMIN PAN CROSS MATRIX I. For Upright Piano II. For Flute Op. 0 no.1

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for upright piano and flute

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Page 1: Cross Matrix

XINGZIMIN PAN

CROSS MATRIX I. For Upright Piano

II. For Flute

Op. 0 no.1

Page 2: Cross Matrix
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NOTE

This composition contains two movements. The first movement is written for upright piano (however, it can also be played in grand piano), and the second for flute. The material of this composition basically comes from three pre-designed tetrachords, which use the whole twelve tones:�

Extract the first, third, fifth and seventh notes in the harmonic series of every note in these three tetrachords:

A matrix of tetrachords, which come from the harmonic series above, can be built:

This matrix is also the direct material of the 1st and 2nd movements. In the 1st movement, the tetrachords in the matrix are been used in a HORIZONTAL way, and every single note is used only three times. In the 2nd movement, the tetrachords in the

Page 4: Cross Matrix

matrix are been used in a VERTICAL way (see also the excerpt below). In addition, the matrix is symmetrical with the 4th row as the pivotal axis. That is, line 3 and 5, line 2 and 6, and line 1 and 7 are identical to each other. In addition, the first tetrachords (original tetrachords) are repeated at the end of each row.

Since the two movements follow horizontal and vertical line respectively in the matrix, this composition is called Cross Matrix.

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NOTE FOR THE PERFORMANCE

1st movement

* Originally written for upright piano. However, grand piano is also

acceptable. When perform in grand piano, simply ignore the changing of

pedals in the bottom of each system.

* All accidentals carry only one measure.

2nd movement

Stop immediately

Glide downward a little bit

Play one quarter tone flat

Oscillate between one quarter tone flat and one quarter tone sharp, following the general contour of the indicated line�

Key clicks

Slightly softer than mezzo-forte

Audible inhalation

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Increasingly louder

Highest possible pitch

Without vibrato

Increase air sound

While playing G, sing a lowest possible pitch

Air Sound

Increase volume of air sound �

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