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F+9 — F augmented ninth chord

An augmented triad with the ninth added. The three augmented notes divide the octave equally, and the ninth sits a whole tone above the root.

Symbol
F+9
Root
F
Quality
Augmented ninth
Family
altered
Notes
F A C# G
Degree formula
1 3 #5 9
Semitones from the root
0 2 4 8
Distinct pitch classes
4
Interval structure
Stacked from the root: 4 semitones, 4 semitones, 6 semitones
Notation
Written +9 or aug9. Used as a bright tonic or as an altered dominant where the seventh is supplied by another instrument.
Key
F · F major / D minor key signature

Formula

The chord tones in order from the root, with the interval each one forms above it.

DegreeNoteSemitonesInterval from the root
1F0Perfect unison
3A4Major third
#5C#8Minor sixth
9G2Major second

Inversions

An inversion is the same set of notes with a different one in the bass. The last column gives the distance of each note above the bass note, in semitones.

InversionBass noteDegree in the bassNotes above the bassSemitones above the bass
root positionF1F – A – C# – G0 4 8 2
first inversionA3A – C# – G – F0 4 10 8
second inversionC##5C# – G – F – A0 6 4 8
third inversionG9G – F – A – C#0 10 2 6

Playable voicings

These shapes were found by searching the fretboard of a standard-tuned guitar (E A D G B E) rather than copied from a chord book. The search allows every string to sound or to be muted, rejects any shape with a muted string between two sounding strings, rejects any shape whose fretted notes span more than four frets (a five-fret window), requires every chord tone to be present, and then sorts what remains with root-position shapes first and the most compact, lowest shapes next. The shapes shown are the first six of that ordering; other orderings are possible at the same frets.

#Shape (low string first)NotesDegreesBassSpan (frets)Sounding strings
11-0-3-0-2-1F A F G Db F1 3 1 9 #5 1F36
21-0-3-0-2-3F A F G Db G1 3 1 9 #5 9F36
31-0-3-2-2-3F A F A Db G1 3 1 3 #5 9F36
41-4-3-2-2-3F Db F A Db G1 #5 1 3 #5 9F36
513-10-11-10-10-13F G Db F A F1 9 #5 1 3 1F36
613-10-11-12-10-13F G Db G A F1 9 #5 9 3 1F36

Shape numbers run from the lowest string to the highest, so the left-hand number is the sixth string (low E) in standard tuning. Multiple shapes are listed because a chord can be voiced several ways, and because a lower position is not always the better sounding one.

Related chords and scales

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