Prolongation is a notoriously vague but crucial concept in the analysis of music. This article is an attempt to come to terms with the precise meaning of prolongation.
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here is the link to our facility drawings
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https://j.top4top.net/p_1231pbwk81.jpg
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Towards a definition of prolongation
1.
2. Table of Contents
INTRODUCTION ................................................................................................................................................ 1
INITIAL CHARACTERIZATION OF PROLONGATION ............................................................................................ 1
A. PROLONGATION AS THE ‘REMAINING AT WORK’ OF A MUSICAL ELEMENT ......................................................................... 1
B. PROLONGED MUSICAL ELEMENTS AND THEIR PROLONGATION ....................................................................................... 2
C. THE CONTINUITY OF PROLONGATION........................................................................................................................ 2
D. THE RELATION OF PROLONGATION TO THE MUSICAL SURFACE ....................................................................................... 3
E. PROLONGATION AND THE IDENTITY CONDITION .......................................................................................................... 3
F. CONSEQUENT AND ANTICIPATORY PROLONGATION ..................................................................................................... 4
G. PROLONGATION AND TONAL VERSUS POST-TONAL MUSIC ............................................................................................ 4
H. LEVELS OF PROLONGATION .................................................................................................................................... 5
DEFINITIONS OF PROLONGATION .................................................................................................................... 6
THE FIRST DEFINITION: PROLONGATION AS MUSICAL WEIGHT............................................................................................ 6
a. The meaning and structure of musical weight .......................................................................................... 6
b. Musical weight, musical structure and musical direction .......................................................................... 7
c. The predecessors of musical weight: consonance, stability and salience .................................................. 7
c.1. Consonance and dissonance ................................................................................................................... 7
c.2. Stability and instability ............................................................................................................................ 8
c.3. Prolongation in post-tonal music and the notion of salience .................................................................. 9
c.4. Finally: musical weight .......................................................................................................................... 10
d. Two main objections to the definition of prolongation in terms of musical weight ................................ 10
Objection 1: the identity condition ............................................................................................................. 10
Objection 2: musical weight is too local ...................................................................................................... 11
THE SECOND DEFINITION: PROLONGATION AS RETURN TO THE PROLONGED MUSICAL ELEMENT ............................................. 11
a. Version 1 .................................................................................................................................................. 11
b. Version 2 and 3 ........................................................................................................................................ 13
THE THIRD DEFINITION: PROLONGATION AS EXPECTATION .............................................................................................. 13
THE FOURTH DEFINITION: PROLONGATION AS COMPATIBILITY ......................................................................................... 15
THE FIFTH DEFINITION: PROLONGATION AS FEELING ...................................................................................................... 17
a. The need for openness in the definition of prolongation ......................................................................... 17
b. The need for a mental state of the listener ............................................................................................. 19
c. Feeling as the right kind of mental state ................................................................................................. 19
d. Feeling and musical analysis ................................................................................................................... 20
WORKS CITED ....................................................................................................................................................... 22