Sometimes I've been going through [Tritone Sub of V] - I cadences. Is there a specific name for this?
For example, Db7 - C?
Since you took the tritone substitute of the V (the dominant), this is still a kind of dominant cadence. Specifically, it's a tritone-substitute dominant cadence.
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1In the context of C major, "Db7" could also be taken as a chromatic modification of vii7. How is it decided, what chord a chord is a substitution for? For me, the use of that cadence to perform the function of V-I in C has the problem that Db sounds like VI of f minor, so the cadence sounds like an imperfect cadence, VI-V, in f minor. – Rosie F Apr 22 '19 at 6:24
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1@RosieF - Db in key C is bii, isn't it? A tritone substitution is the chord whose 3 and 7 notes are the 7 and 3 of the other chord. Both being dominant 7th chords. – Tim Apr 22 '19 at 6:26
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1@Tim But in the context of the key of C major, the "Cb" of the "Db7" chord is better spelt as B (natural). Hence I spell the chord's notes as B Db F Ab, and I associate it with vii7, which is B D F A. Now if the chord had been Db maj7, that would be different... – Rosie F Apr 22 '19 at 6:58
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@Tim and others who have suggested changing dominant cadence to authentic cadence: One definition of an authentic cadence specifically requires a V chord moving to a I. Using the broader term dominant cadence allows for the fact that Db7 - C doesn't "look" on its face like a V moving to I. (Of course, if you tweak the definition of authentic and/or understand the Db7 as some kind of rootless altered V chord, you could argue that this rises to the level of an authentic cadence. But my answer, as written, avoids these semantic issues.) – Max Jul 26 '19 at 1:33