Krikos Epilogue

for piano solo

[6:55]

Krikoi Overview

(See also the Algorithms page "Krikos" section.)

Measure 1 [three chords] of Schoenberg's Opus 33a is space proportionally dot-graphed.  The graph is pinned to a fixed grid calibrating its point positions with respect to pitch and time.  The pin prepares the graph for rotation around an axis just below its extreme NE point.  After initial performance of the source measure, the graph is rotated until two or more points come into new horizontal or vertical alignment.  Now shifted against the grid, the points receive correspondingly shifted pitch/time readings, which are in turn performed.  Horizontal alignment sounds as recurrence--pitches momentarily identical in their reversal of height. Vertical alignment sounds as simultaneity--attacks momentarily identical in their reversal of sequence.  Rotation then continues to the next realignment/ rereading/performance in a process usually running half-circle.  At 90 degrees [heard as three repetition levels] notes-at-a-time have become times-at-a-note.  At 180 degrees rotation has conspired with position of its axis to approximate source measure 2.

Sharing the 'Krikos' name, several independent pieces pursue selected constraints on this generative process.

Krikos

Epilogue.  A retrospective involving cruxes of Krikos 2, 3, 4 and again 2.  It is unique in treating all attack-time shifts as the instant chord-to-chord migration of altered single pitches.

There are four unbroken sections:

Beat=42, board ON                           

Opening attacks=32, poco animando

 Beat=112, single notes staccatissimo

Beat=104, board OFF                       

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