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Section E. is not at all complete yet. In the moment only this is available:  altered chords / sections 1-3, 5, and part of section 9
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1. general information
2. diminished third on #4^; 
score examples (choose examples from the list below):
 
Schubert, Gesänge des Harfners I and III (D 478 and D 480)  beginning of beide liederen
Am Grabe Anselmos (D 504)  beginning of the song
Schubert, Piano Trio 1, D 896, beginning of the second movement
Schubert, Erster Verlust D 226 Mozart, Piano Sonata in A minor K 310, second movement, middle section (development)
Mozart, Piano Sonata in Bb major K 333, first movement, development section
Bellini, Dolente immagine di Fille mia Mozart, Symphony in C major "Jupiter", second movement    transition to the second theme, and final part of the middle section (development)
Schubert, Symphonie No. 5 in Bb major, first movement   transition to the second group Beethoven, Symphony No. 5, first movement   first theme
3. enharmonization of the double diminished triad and seventh chord, and of the hard diminished seventh chord
 
score examples
4. #IV and IIhv in other inversions
 
score examples
5. scheme of all altered chords
6. diminished third on #4^:
score examples
7. diminished third op 7^:
score examples
8. diminished third on 2^ in minor, and on #2^ in major:
score examples
9. overview of the enharmonizations and possible modulations
10. other issues?

 

 
Beethoven, Symphony No. 5, first movement   first theme
recording by Nikolaus Harnoncourt / Chamber Orchestra of Europe
recording by Christopher  Hogwood / Academy of Ancient Music
recording by Frans Bruggen / Orkest van de18e Eeuw (2011)
recording by Paavo Jarvi / Deutsche Kammerphilharmonie Bremen
hier is een score van het begin of the first movement (pdf), en 
hier is de complete score
of the first movement of the Symphony (pdf)
I think there are two views possible on the structure of the first theme of this movement. I sketch them briefly below:

View 1:

The first theme ends in measure 21, with a half cadence. This is certainly not uncommon around 1800; after the half cadence at the end of the first theme we then mostly find a modulation to the key of the second group during the transition (in this interpretation: measures 22-58).ann In the first theme is then, among other things, the following notable:

    Apart of the 'clarion blasts' in the first five measures (in which the 'motto' is stated unisono) the theme clearly forms a sentence: We see two groups 4 measures, forming a model and a sequence (together: presentation), and thereafter a group of 8 measures in which at first the initial motif is shortened (2 + 2), followed by approaching the half cadence in measure 21. Therefore, the second half of the sentence forms a small sentence in itself.  The structure of the entire first theme can be represented  in this diagrams:
     
      (      2       +        3       )           +         (       4        +         4        )         +         (    2     +     2     )        +          4
         model        sequence                              model           sequence                       model    repeat                  close
                                                                                                                     |____________________________________________|
                                                                                                                                 small sentence (sentence by repetition)
      |______________________|     |__________________________________________________________________________|
              'motto'                                                                      sentence (sentence by developing)
  • The harmony of the theme is actually very simple. Only the harmonic interpretation of the first five measures is somewhat complicated, as they are in unisono. And the most 'complex' chord is the Italian augmented ( #IVdv6 ), from which, at the very end of the theme, V is approached (and thus: the half cadence). See measures 20/21.
(The enharmonic modulatie is via het verminderd seventh chord: In some other examples in this section FOOTNOTE an altered chord is deployed at the end of a transition to emphasize the dominant of the new key. It's nice to see that precisely this does not happen in Beethoven's Fifth: After an enharmonic modulation in measures 52-56 the tradition closes with V6/5 in Eb major (and the enharmonic modulation is via the dimished seventh chord:
 
C minor: Eb major:
A
F#
Eb
C

= enharmonisch:
A
Gb
Eb
C
(VII4/3) --> V (VII6/5) --> V
  )

View 2:

The first theme ends only in measure 44, with an authentic cadence. Around 1800, this is of course very common as well. The main reasons to consider measures 22-44 as part of the theme are:

  • They clearly respond to, and are developed from the previous 21 measures
  • We do not see a modulation until measure 44
  • Because measures 22-44 end with an authentic cadence in C minor (and because there was a half cadence in 21) they can be seen as consequent of a large period of 44 measures (or 36, if we substract measures 1-5 and 22-24).
We could describe the internal stucture of 22-44 for example like this: 
 
         (            3               )       +         (       4        +         4        )         +         (    2     +     2     )        +                       7
                                                                                                                                                                ( 1 + 1 + 1 + 1 + 1 + 1 + 1 )
                                                               model           repeat                           model    sequence          shortenings / ascending sequences / close
                                                                                                                        |____________________________________________|
                                                                                                                                                         sentential
          |_________________|     |______________________________________________________________________________|
          'motto' (on a different                                                  sentential (similar to sentence by repetition)
           pitch, shortened)
If we assume that the theme is until measure 44 the transition is comparatively very short: only 15 measures.ann

And we could then summurize the structure of the complete first theme as follows:
 
                  5                   +                                     16                                      +               3             +                                     20
           'motto'                                                     sentence                                            'motto'                                         sentential 
                                        |_______________________________________|                                    |_______________________________________________|
                                                                      antecedent                                                                                                     consequent
                                                                                 |                                                                                                               |
                                                                         together form a period; this period is so to speak 'introduced' and interrupted
                                                                         by the 'motto'

I tend to prefer view 2! See the score below...
                                        C minor:   I6 ?             II ? VII ?               I [ 6 -- 5 ]                         V6     [ 9 --- 8 ]

                 C minor:     V6         6/5   I         V6  6/5  I          V6  6/5  I      #IVdv6 V      VII?
                                                                                                                    Italian

                 C minor:     VII(7)       V7    I            VII(7)                 V7    I          VII7                  I                    VII7
                                                                                                                   or: II7 --> VII7
                                                                                                              pedal point on I -------------------------------->
                 C minor:      (V7)     IV      (V7)   IV       VII7      I                                         V7                                   [ I ]
                             pedal point op I ---------------------------------------------------------------|
                                                                                 end of the transition       beginning of the second group
                 C minor:       (VII4/3) 
                                      to V
                 Bb major:    (VII6/5)                                                           V6                [ I ]       [ V ]   I      VII6 (?)  V7
                                     to V
                                   enharm.
                                   modulation                                                  half cadence