Prolongation:  Basic Analysis of Chorale Harmonization (Part Five)
Example 225.1 is a cadential structure analysis of the entire chorale.  We have covered the analysis in 225.1(a).  In 225.1(b), a broader analysis shows groups of two and three phrases and their cadential significance.  In 225.1(c), the same prolongation of the tonic occurs three times; in its second occurrence, it is stretched out over several phrases which include a passage in the submediant.
Example 225.1
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[ I    -    V       I ]
[[ I   -   I ] V ]
[[ -    -    -   I ] -    -    -    -  >
>  V ]
[[ I    -    I ] V ]
[[ - I    -     -    I ] IV V        I ]
[[ - I    -     -    I ] IV V       >
e:  [[ I    -    I ] V ]
>  I ]
G: [[ - I ] IV V  I ]
[[ I     -     I ] V ]
[[ -    I    -    -    -    -    -    I ] V
[[ - I    -    -    I ] IV V      I ]
                   [ I                  V]
[ V                                     I]
[[ I    -     -     -     -     -     -     -     -     -     -     -     -     -     -     -     -   >
>    -    -    -  I ] IV V     I ]
                                              >
e:  [[  -     -     -     -     -    V ]                                      >
>  I ]
G:              [ I                       V]
                                [ V                                 I]
(a)
(b)
(c)
(a)
(b)
(a)
(b)
(c)
[[ - I    -     -    I ] IV V        I ]
[[ - I    -    -    I ] IV V      I ]
The analysis in example 225.1(b) shows a balancing of half-cadence phrases with full cadence phrases.  Consequently, the first two phrases function as a half-cadence ([I-V]), and the next two phrases function as a full cadence ([V-I]).  The total result is that the first section of this chorale is a full cadence ([V-I]) anchored in two sets of balanced phrases.  Combined with the staid rhythm, this projects a mood of well-grounded tranquility.
 
The middle section, after the repeat sign, deviates from this pattern by grouping two short phrases, both ending in a dominant, with a longer phrase concluding on a tonic.  This middle section comes to rest, seemingly, as a full cadence in e minor.  The very next phrase re-establishes G major by revealing that e minor was part of a prolongation of the G major tonic.
 
The last four phrases exhibit a balance similar to the first four.
 
The analysis in example 225.1(c) shows how the process of prolongation integrates a divergent element - in this case, a modulation to e minor - into a well-balanced whole.  In this particular example, the seeming modulation to another key is a simple variation on a pattern that occurs twice elsewhere in the harmonization.  In symphonic composition generally, the relationships are not usually so obvious.
 
RIFFS
Cadential Structure
Prolongation of Function
Lester Allyson Knibbs, Ph.D.





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