The distance spanning eight note names, returning to the same note name one octave higher, with 13 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 octave (A8) spans 13 semitones. It is an octave widened by a semitone and is enharmonically close to m9 in equal temperament, but notationally distinct.
A8 is formed by raising a perfect octave by one semitone, such as C-C#. Though it may sound like m9, the spelling preserves octave-family expansion. This distinction matters in advanced analysis.
Harmonically, A8 appears mostly in chromatic notation, enharmonic reinterpretation, and theoretical contexts. Melodically, it creates pointed, unusual contour. Its main value is functional spelling clarity.
Practice A8 against m9 to separate pitch equivalence from notation function. Read accidentals carefully and track interval names as part of analysis. This strengthens high-level interval literacy.