MUS 211 Study Guide C (Chapter 3)
Modulation with Diminished Seventh Chords
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As a pivot chord, the
o7 is more versatile than any other chord that could be
used for this purpose.
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Any o7 can
follow a given chord in the original key and then become a useable
function in any other key.
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The following
characteristics of the o7 chord allow this versatility:
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When inverted, its
sound is the same as any other position of the chord,
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Any o7
chord, and each of its inversions, can be spelled enharmonically.
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Do not use a flatted tone as a root, except Bb
(gCb).
Using the o7
as a Pivot Chord
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Most often, the o7
pivot is spelled in the new key only. Some composers, however,
may spell it in both keys (enharmonically), utilizing two chords, of
course.
The Secondary Leading
Tone Chord as a Pivot in the New Key
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A common use of the o7
pivot as a secondary leading tone seventh chord is to use a chord
spelling which is common to both keys.
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Example: In
the key of D Major, o7/ii is spelled D#, F#,
A, C. If modulating to the key of A Major, the same spelling would
then become o7/V in the new key.
The Nondominant Diminished Seventh Chord as a Pivot
- The two nondominant diminished seventh chords, #iio7
(6I6) and #vio7
(6V6 or V
six-five), are also useful as a pivot in either or both of the two
keys of the modulation.
Alternate Spellings of Diminished Seventh Chords
- Any diminished seventh chord may at times be found with a spelling
not in accordance with its function in its particular key.
Usually, the reason is due to its particular function in one of the
two keys, sometimes having to do with simplicity of notation.
Modulation by Resolving Early One Member of a o7 Chord
- When any member of a o7 chord is lowered one half step,
that lowered tone becomes the root of a major-minor (dominant
quality) seventh chord, which facilitates a modulation.
- Lowering members of the o7 chord (B, D, F, Ab)
by one half step:
| Member lowered: |
to: |
Resulting M-m 7th: |
| Root - B |
Bb |
Bb D F Ab |
| Root - B |
A# |
A# Cx E# G# |
| Third - D |
Db |
Db F Ab Cb |
| Third - D |
C# |
C# E# G# B |
| Fifth - F |
E |
E G# B D |
| Seventh - Ab |
G |
G B D F |
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