I know that D♭ - E♭ is a major second. What is the interval D♭ - D♯ called (and why)?
2 Answers
D-D is unison (or "prime")
Db-D or D-D# is augmented prime and Db-D# is a double augmented unison or prime.
P.S. This is really something different than the enharmonic variants Db-Eb, but that was not the question.
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1@ChipJust It's enharmonic to a major one, but a 2nd would be some kind of D to some kind of E. – NReilingh Aug 18 '12 at 12:57
Consider also the questioning of naming the unison an interval by italian music theorist Zarlino which I personally find very relevant (rather think of it as a point in geometry).
Equality is never found in consonances or intervals, and the unison is to the musician what the point is to the geometer. A point is the beginning of a line, although, it is not itself a line. But a line is not composed of points, since a point has no length, width, or depth that can be extended, or joined to another point. So a unison is only the beginning of consonance or interval; it is neither consonance nor interval, for like the point it is incapable of extension.
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So what do you call it then? If it's harmonically a D at both ends, it has to be some kind of unison or you're not accurately describing it. Admittedly, finding a valid case where you actually need to think about an interval that goes from Db to D# is pretty unlikely! – Matthew Walton Apr 30 '15 at 14:47
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1This argument is completely flawed. An interval is a distance so saying a unison isn't an interval is saying zero isn't a distance which is just wrong. – Dom Nov 20 '16 at 05:05
why is a diminished 3rd equal to an "absolute interval" of 2 halfsteps? Isn't a "regular 3rd" a major 3rd? And diminishing it makes it equivalent to a minor 3rd doesn't it??
On an equal tempered piano, I can see Eb and and D# from different key signatures sounding "different" due to the key signature's tonic. But they ARE the exact same sound, aren't they?
Also, to correct your comment, A dimished third is not the same as the minor one. It is one step further. C-E is major C-Eb is minor C-Ebb is diminished and may sound like C-D.
Leave the tuning aside, this is only remotely connected to tuning. It is orthography.
– nilshi Aug 09 '12 at 18:09