In music theory, a doubly augmented second is an interval that has two whole steps
The doubly augmented second requires that:
- The interval must be an second interval (two note names between the first and the last).
- The interval must have two whole steps.
What does a doubly augmented second look like?
Here is an example of a melodic doubly augmented second (two music notes in a melody) and a harmonic doubly augmented second (in a chord):

How to recognize a doubly augmented second?
Rule of music theory: All intervals in a major scale starting with the tonic (degree I) are either major or perfect, and only unison, octave, fourth and fifth are perfect (the others are major).
Example with the interval C / D♯♯:
Let's take the C major scale to have C as the tonic:

From the rule stated above, the interval C / D is a major second, so the interval C / D♯ is a augmented second, and so C / D♯♯ is a doubly augmented second.
Inversion of the doubly augmented second
The inversion of the doubly augmented second is the doubly diminished seventh.
Here is an example of a doubly diminished seventh:

Musical examples of doubly augmented second
No examples yet, but feel free to send me some examples!
Interval identification game
You will find this interval in my Intervals identification game: