The distance spanning seven note names, with 12 semitones between them.
Chords whose formulas include this interval from the root note.
Scales whose formulas include this interval.
Intervals with a comparable quality and character.
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The augmented seventh (A7) spans 12 semitones. It is a widened seventh and is enharmonically equivalent to the octave in equal temperament, but notation keeps seventh-function meaning.
A7 is formed by raising a major seventh by one semitone, for example C-B#. While it sounds like P8 in many contexts, the spelling indicates a seventh that expands upward. This distinction is theoretical and functional.
Harmonically, A7 is uncommon in basic repertoire but appears in advanced chromatic notation and enharmonic reinterpretation. Melodically, it can mark extreme leading-tone expansion. Its main use is precise notation in complex contexts.
Practice reading A7 as a spelled seventh, not just an octave sound. Compare C-B# with C-C to internalize function versus pitch equivalence. This improves advanced notation fluency.