Theoretical key
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In music theory, a theoretical key is a key whose key signature requires double-flats (), or double-sharps ().
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Some musical keys are not normally used because they would require a double sharp or double flat in the key signature. For example, G♯ major requires eight sharps, and, since there are only seven scale tones, one tone requires a double sharp (F). In 12-tone equal temperament, the standard tuning of Western music, the key of G♯ major is enharmonically equivalent to A♭ major (with four flats). In the absence of other factors, this key would generally be notated as A♭.
G♯ major, a key signature with a double-sharp | A♭ major, equivalent key |