Joseph Klein: Occam's Razor - University of North Texas

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Joseph Klein: Occam's Razor - University of North Texas

Process, Models, and Metaphors as

Conceptual Keystones in Occam!s Razor

Joseph Klein, D.Mus.

University of North Texas (USA)

www.music.unt.edu/comp/jklein


Joseph Klein: Occam’s Razor

Structural Analysis A


Joseph Klein: Occam’s Razor

Structural Analysis B


Joseph Klein: Occam’s Razor

I. estuary (chaotic fugato quasi toccata)

Diagram 1a


Joseph Klein: Occam’s Razor

I. estuary (chaotic fugato quasi toccata)

Diagram 1b


Joseph Klein: Occam’s Razor

I. estuary (chaotic fugato quasi toccata)

Score Example 1


René Magritte: Au seuil de la liberté (1929)

Oil on canvas, 45 x 57.5 in.


Joseph Klein: Occam’s Razor

II. Au seuil de la ruine (notturno interrotto)

Diagram 2a


Joseph Klein: Occam’s Razor

II. Au seuil de la ruine (notturno interrotto)

Score Example 2a


Joseph Klein: Occam’s Razor

II. Au seuil de la ruine (notturno interrotto)

Diagram 2b


Joseph Klein: Occam’s Razor

II. Au seuil de la ruine (notturno interrotto)

Score Example 2b


Joseph Klein: Occam’s Razor

II. Au seuil de la ruine (notturno interrotto)

Diagram 2c


Wallace Stevens: “Thirteen Ways of Looking at a Blackbird” (1917)

I

Among twenty snowy mountains,

The only moving thing

Was the eye of the blackbird.

II

I was of three minds,

Like a tree

In which there are three blackbirds.

III

The blackbird whirled in the autumn winds.

It was a small part of the pantomime.

IV

A man and a woman

Are one.

A man and a woman and a blackbird

Are one.

V

I do not know which to prefer,

The beauty of inflections

Or the beauty of innuendoes,

The blackbird whistling

Or just after.

VI

Icicles filled the long window

With barbaric glass.

The shadows of the blackbird

Crossed it, to and fro.

The mood

Traced in the shadow

An indecipherable cause.

VII

O thin men of Haddam,

Why do you imagine golden birds?

Do you not see how the blackbird

Walks around the feet

Of the women about you?

VIII

I know noble accents

And lucid, inescapable rhythms;

But I know, too,

That the blackbird is involved

In what I know.

IX

When the blackbird flew out of sight,

It marked the edge

Of one of many circles.

X

At the sight of blackbirds

Flying in a green light,

Even the bawds of euphony

Would cry out sharply.

XI

He rode over Connecticut

In a glass coach.

Once, a fear pierced him,

In that he mistook

The shadow of his equipage

For blackbirds.

XII

The river is moving.

The blackbird must be flying.

XIII

It was evening all afternoon.

It was snowing

And it was going to snow.

The blackbird sat

In the cedar-limbs.


Joseph Klein: Occam’s Razor

III. one of many circles (hyper-fractal variants)

Diagram 3


Joseph Klein: Occam’s Razor

III. one of many circles (hyper-fractal variants)

Score Example 3


Elias Canetti: from Maße und Macht (Crowds and Power) (1960)


Joseph Klein: Occam’s Razor

IV. maßenkristalle (loxodromic chaconne)

Diagram 4


Joseph Klein: Occam’s Razor

IV. maßenkristalle (loxodromic chaconne)

Score Example 4


Milan Kundera: from The Unbearable Lightness of Being (1984)


Joseph Klein: Occam’s Razor

V. the myth of eternal return (entropic ostinato)

Diagram 5


Joseph Klein: Occam’s Razor

V. the myth of eternal return (entropic ostinato)

Score Example 5a


Joseph Klein: Occam’s Razor

V. the myth of eternal return (entropic ostinato)

Score Example 5b


Alice Fulton: “Volunteers,” from Sensual Math (1995)


Joseph Klein: Occam’s Razor

VI. crown knots and cascades (meta-rondo in chiasmus)

Diagram 6


Joseph Klein: Occam’s Razor

VI. crown knots and cascades (meta-rondo in chiasmus)

Score Example 6a


Joseph Klein: Occam’s Razor

VI. crown knots and cascades (meta-rondo in chiasmus)

Score Example 6b


Joseph Klein: Occam’s Razor

VI. crown knots and cascades (meta-rondo in chiasmus)

Score Example 6c


John Ashbery: “All and Some,” from Self-Portrait in a Convex Mirror (1974)


Joseph Klein: Occam’s Razor

VII. time’s maw (moto perpetuo)

Diagram 7


Joseph Klein: Occam’s Razor

VII. time’s maw (moto perpetuo)

Score Example 7

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