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I'm trying to name the interval Eb-B#. We know that E-B is a perfect fifth. And by taking Eb-B, it becomes an augmented fifth. But what about Eb-B#? I cannot find a suitable name for this one.

Thank you in advance!

2 Answers2

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I would say Eb - B# is a doubly augmented fifth.

https://en.wikipedia.org/wiki/Interval_(music)#Example

The letter name distance says it's a fifth: E - F - G - A - B, five different letter names (staff positions).

You probably already knew this, but just for future readers: what you call the interval depends on what you call the notes. As you can see from the tables on the Wikipedia page, the proper name for an interval isn't unambiguously defined by the semitone distance alone. (Except if you call your interval by the number of semitones.)

In the interval naming convention, the presence of a diatonic scale with letter-named staff positions is assumed. Five positions means it's a "fifth".

fifth intervals

In case there's a key signature, you take that into account, but still, the distance in staff positions decides if the interval is called a fourth, fifth, sixth, etc. In this example, the key signature declares that by default, B notes are flat.

fifth intervals with key signature

...and for someone who doesn't know how the staff and accidentals i.e. natural/sharp/flat work, a couple more pictures. The pitch of each staff position can be modified with accidentals, which are sort of like three-position switches (not caring about rare cases like double-sharps/flats):

natural/sharp/flat switch

What's happened in the example case is, an E has been made flat and a B has been made sharp:

how the music staff and accidentals work

On a piano keyboard you would play the B# note with the same key as you'd use for C, but since it was called a B# and not a C by the person who wrote the notation, you take it as a B# and name the interval accordingly.

piiperi Reinstate Monica
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Start with the letter names - E-F-G-A-B. That's going to be a 5th - of some sort.

Drop the E down a semitone, the interval's an augmented fifth. If, instead, the B goes up a semitone, that's also an augmented fifth. So, by dropping E to E♭, and taking B to B♯, it's a double augmented fifth interval.

Which sounds exactly like a far more common major 6th.

Tim
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