Objective 43.1

Suggested Learning Resources

1) YFIO

2) Video Lesson: Enharmonic Reinterpreatation of German 6 , hemitonicpentatonic channel

Modulation using the Diminished 7th Chord, https://youtu.be/Uwo1KNwJTJQ

3) Online Reading: The German 6/5 and the Dominant 7th, https://www.utexas.edu/courses/mus612b/fmain/fdocs/notes/augsixth.html#doublefunc

Modulation to remote keys using diminished seventhchords, http://legacy.earlham.edu/~tobeyfo/musictheory/Book2/FFH2_CH7/7C_Modulation3.html

4) Interactive Lesson:

Music Theory QuickThink:

- A Descending 5th sequence that utilizes secondary dominant chords can be used to modulate to a new key.

- Example: The chords B7-E-A7-D can be analyzed two different ways.

o If analyzed in the key of A, they are V7/V , V , V7/IV , IV
o If analyzed in the key of D, they are V7/ii , V/V , V7 , I

- Use context of what comes before and after to determine if a modulation has taken place

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- The German 6th is an augmented 6th chord that sounds like a Dominant 7th chord (Mm7).

- It is not spelled as a Major-minor 7th chord, but the result is enharmonic with a Major-minor 7th

- The modulation can take place by approaching in one spelling, and resolving as the enharmonic spelling would

- Example: In the key of Eb Major, an F7 chord is a V7/V (spelled F, A, C, Eb).

o Normally this chord would resolve to a Bb chord (Bb, D, F)
o If the V7/V (F, A, C, Eb) is respelled as (F, A, C, D#) it is now a Gr6 chord in the key of “a” minor (le, do, me, fi) respectively.
o The Gr6 spelling resolves to E, G#, B …. Which is the V chord in ‘a’ minor.

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- Fully diminished seventh chords have the potential to setup modulations by being able to resolve in four different ways, enharmonically

- Example:

o the C fully diminished chord contains (C, Eb, Gb, Bbb)
o (1) The normal resolution of this chord is to Db, F, Ab (in the key of Db major) or Db, Fb, Ab (in the key of db minor)
o (2) If the chord is enharmonically spelled (D#, F#, A, C) it will resolve to E, G#, B (key of E Major) or E, G, B (key of e minor)
o (3) If the chord is spelled (F#, A, C, Eb) it will resolve to G, B, D (key of G Major) or G, Bb, D (key of G minor)
o (4) If the chord is spelled (A, C, Eb, Gb) it will resolve to Bb, D, F (key of Bb major) or Bb, Db, F (key of Bb minor)

Objective 43.1: Identify and label the following modulations; (1) through Descending Fifth Sequence (2) Enharmonic modulation through Augmented Sixth Chords (3) Enharmonic modulation with diminished Seventh Chords in real music examples