My apologies for not posting very often in recent weeks. I have been very busy this semester having taken on yet another class. I think I may have stretched myself a bit too far this time, but I will get some relief in just a month’s time as one of my courses is only 8 weeks.
In the meantime, I have a question for my fellow “theory” types that occasionally frequent this site: I was preparing for a class tomorrow morning and was browsing The Elements of Music, 2nd ed. by Ralph Turek and came across the following excerpt from the Bach chorale
(”Durch Adams Fall is ganz verderbt”) and was a bit surprised by the harmony on the third beat of the first full measure.
I understand what it is, and when I look at its use, it seems obvious that it is filling in the ascending melodic minor bass line, but since I can’t ever recall seeing it happen this way (with the seventh being included in the analysis) before tonight, I’m curious about how often this harmony occurs in this unexpected way. Can anyone (Rob? Scott?) shed some light on the topic and would you agree with my feeling that teaching this particular example might create confusion for the students when they are finally introduced to applied chords? Would it not make much more sense to teach the E-flat as a suspension and dismiss the harmonic implications created by the chord quality or perhaps more appropriately just call it an exception and move on? If so, then how far into minor variants do you delve when you teach non-dominant diatonic seventh chords?
My thought is that it’s probably best to not even open this can of worms and instead keep the students focused on contexts that emphasize the dominant quality of this sonority. Personally, and with an eye towards future topics, I would rather the students recognize the major-minor seventh as a V7 in every context before I drop an exception on their plate and ask them to chew.
I know that I answered my own question (and yes, I do answer when I talk to myself), but I still want to hear your explanation. Not really for any good reason, but just because…
Look at the text! Setting “Adam’s fall” to a descending diminished fifth in the bass is typical Bach chorale technique (see Heinrich Poos: “Der Choralsatz als musikalisches Kunstwerk”, in Musik-Konzepte 87, which focuses on crucifiction representations).
As to whether or not to identify it as a named, functional chord, or as a passing voice leading, I would incline to the former, due to both text and metric position, but emphasize both its novelty and the thoroughly unobjectionable voice leading.
My primary concern with this particular example is not the voice leading, which is is logical in any context, but rather the pedagogical ramifications of showing a group of second semester theory students a non-dominant Mm7 in anticipation of a future lecture on secondary function.
Thanks for the heads up on the article, and the note about the role of the descending diminished fifth in crucifixion settings. I’m not at home right now, but I don’t believe that Turek included the text in his example. I’ll have to check my copy of the Bach when I get a chance.
I agree with you, Mark. Until the students are good at recognizing dominant sevenths and thinking “= V7 of something” these exceptions should not be included. I would wait until mode mixture is taught, or even make a separate section on non-dominant Mm7 chords (IV7, VII7, bII7, etc.). It could also be a good subtopic of augmented sixth chords, since those often deliberately take the dominant seventh sound and resolve it differently.
I agree with Scott. Even though I teach modal mixture before I teach applied dominants, I would still withhold exceptional examples like this until students firmly grasp both modal mixture and tonicization.
I would disagree, however, with Scott’s assessment of bIIMm7 and augmented-sixth chords as not having dominant function. While there is still some debate on this matter, many theorists understand augmented sixths and tritone substitution as types of altered dominants. Further, as used in barbershop harmony and occasionally in 19th-century chromatic harmony, the Mm7 built on scale degree 4 is a kind of augmented-sixth chord. (See Daniel Harrison’s article “Supplement to the Theory of Augmented-Sixth Chords,” Music Theory Spectrum 17.)
In the Bach example, however, the IV7 is certainly not a dominant-function chord. To “correct” Bach’s use of modal mixture by either lowering scale degree 6 or raising scale degree 3 in the chord would make it sound ridiculous. What intrigues me is the question of whether 1) Bach decided to use the tritone leap in the bass first, which forced the bass to rise through the leading tone to the tonic, rather than descending to the dominant and leaping to the tonic, or 2) Bach wanted to use a stepwise ascent to weaken the motion to tonic at this premature juncture (two chords before the actual cadence) forcing the use of raised scale degree 6 to avoid an awkward augmented second.
I’ve gotta agree with those who say this example should be treated with caution so as to avoid confusion with secondary dominants.
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