Theory
Theory of this chord category is presented here.
We can compare a normal dominant seventh chord with altered dominant chords in the note of C:
C7: C – E – G – Bb
C7-5 (C7b5): C – E – Gb – Bb
C7+5 (C7#5): C – E – G# – Bb
Instead of minus (-), flat (b) is sometimes used and instead of plus (+), sharp (#) is sometime used. Therefore, C7-5 and C7b5 is the same chord and C7+5 and C7#5 is the same chord. Note also that C7+5 contains the same notes as Caug7.
Comparing a normal dominant seventh chord with another pair of altered chords.
C7: C – E – G – Bb
C7-9 (C7b9): C – E – G – Bb – Db
C7+9 (C7#9): C – E – G – Bb – D#
The names of these chords are C dominant seventh, sharp ninth and C dominant seventh, flat ninth. C7-9 and C7+9 can also be written C7b9 and C7#9 respectively.
Comparing with a third group of altered seventh chords.
C7: C – E – G – Bb
C7+11 (C7#11): C – E – G – Bb – F#
The name of this chord is C dominant seventh, sharp eleventh (a correspondent C dominant seventh, eleventh flat ninth does not exist). C7+11 can also be written C7#11.
Other altered chords
Finally, some less common categories.
Altered ninth and thirteenth chords.
C9#11: C – E – G – Bb – D – F#
C13b9: C – E – G – Bb – Db – F – A
C13#11: C – E – G – Bb – D – F# – A
C9#11, C13b9 and C13#11 can also be written C9+11, C13-9 and C13+11 respectively.
Continued reading: altered chords as substitutions. See also Chord Theory for Piano eBook.
Chord categories
Major chords Minor chords Seventh chords Extended chords Sus chords Dim chords Aug Chords Add Chords Altered Chords