Construction
| Note | Interval | Degree |
|---|---|---|
| G♯ | Root | 1 |
| B | Minor 3rd | ♭3 |
| D | Diminished 5th | ♭5 |
| F♯ | Minor 7th | ♭7 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| G♯ | black | index finger (2) | little finger (5) |
| B | white | middle finger (3) | ring finger (4) |
| D | white | ring finger (4) | middle finger (3) |
| F♯ | black | little finger (5) | index finger (2) |
Right hand: index finger (2) on G♯, middle finger (3) on B, ring finger (4) on D, little finger (5) on F♯.
Left hand: little finger (5) on G♯, ring finger (4) on B, middle finger (3) on D, index finger (2) on F♯.
G♯ Half Diminished Inversions
- Root positionG♯ – B – D – F♯
- 1st inversion (G♯m7♭5/B)B – D – F♯ – G♯
- 2nd inversion (G♯m7♭5/D)D – F♯ – G♯ – B
- 3rd inversion (G♯m7♭5/F♯)F♯ – G♯ – B – D
Key Signature
A Half Diminished chord is built from symmetrical or ambiguous intervals, so it doesn't belong to a single key and has no key signature of its own.
Chords in the Key of G♯ Major
These are the triads built on each degree of G♯ Major:
How G♯ Half Diminished functions in a key
The same chord takes on a different harmonic role depending on the key it appears in. Here is where G♯ Half Diminished sits diatonically across the common keys:
- In A major, G♯ Half Diminished is the vii° chord — the dominant.
- In F♯ minor, G♯ Half Diminished is the ii° chord — a predominant.
Scales That Include the G♯ Half Diminished
- A Major (vii⦰7)
- F# Minor (ii⦰7)
- B Dorian (vi°)
- C# Phrygian (v°)
- D Lydian (#iv°)
- E Mixolydian (iii°)
- F# Aeolian (ii°)
- G# Locrian (i°)
Same Notes, Other Names
The notes G♯ – B – D – F♯ aren’t exclusive to this chord. Depending on which note is the bass and how the chord functions, the same pitches also spell:
G♯ Half Diminished : Frequently Asked Questions
What is the G♯ Half Diminished chord on piano?
What is the G# piano chord?
What notes are in the G# Half Diminished chord?
How is the G# Half Diminished chord used in music?
What is the fingering for G# Half Diminished?
What are the inversions of G# Half Diminished?
What is the ii-V-i progression with G# Half Diminished?
G♯ Half Diminished 7th in detail
Exact
Every pitch class is present and nothing outside the chord is added.
| Type | Notes | Semitones | Span | Omissions and additions | Set relation | Fit |
|---|---|---|---|---|---|---|
| Close, root position | G♯3 B3 D4 F♯4 | 10 | 138 mm | none | identical | |
| Close, first inversion | B3 D4 F♯4 G♯4 | 9 | 124 mm | none | identical | |
| Close, second inversion | D4 F♯4 G♯4 B4 | 9 | 124 mm | none | identical | |
| Close, third inversion | F♯4 G♯4 B4 D5 | 8 | 110 mm | none | identical | |
| Drop 2 | D3 G♯3 B3 F♯4 | 16 | 220 mm | none | identical | |
| Drop 3 | B2 G♯3 D4 F♯4 | 19 | 261 mm | none | identical | |
| Drop 2 and 4 | G♯2 D3 B3 F♯4 | 22 | 303 mm | none | identical |
Reduced
A subset of the pitch classes: the identity is incomplete rather than altered.
| Type | Notes | Semitones | Span | Omissions and additions | Set relation | Fit |
|---|---|---|---|---|---|---|
| Shell, root ♭7 ♭3 | G♯2 F♯3 B3 | 15 | 206 mm | omits D | subset | |
| Guide tones, ♭3 and ♭7 | B3 F♯4 | 7 | 96 mm | omits G♯ and D | subset | |
| Rootless close | B3 D4 F♯4 | 7 | 96 mm | omits G♯ | subset |
Spans are measured centre to centre at a 165 mm octave (standard keyboard geometry).
| Position | Bass note | Notes in order | Figured bass | Semitones | Span |
|---|---|---|---|---|---|
| Root position | G♯ | G♯3, B3, D4, F♯4 | 7 | 10 | 138 mm |
| First inversion: G♯m7♭5/B | B | B3, D4, F♯4, G♯4 | 6/5 | 9 | 124 mm |
| Second inversion: G♯m7♭5/D | D | D4, F♯4, G♯4, B4 | 4/3 | 9 | 124 mm |
| Third inversion: G♯m7♭5/F♯ | F♯ | F♯4, G♯4, B4, D5 | 4/2 | 8 | 110 mm |
One position per chord tone in the bass. Spans are for close position: voiced inversions appear under Voicings.
| Progression | Key | Role | Sequence | Voice leading |
|---|---|---|---|---|
| ii, v, i | F♯ minor | iim7♭5 | G♯m7♭5 to C♯m7 to F♯m7 | G♯m7♭5 opens the phrase |
| vii, I | A major | viim7♭5 | G♯m7♭5 to Amaj7 | G♯m7♭5 opens the phrase |
Root motion, common tones and voice displacement are computed from pitch class sets. Roman numerals follow common practice functional harmony.
Which keys it belongs to
| Key | Roman numeral | Function |
|---|---|---|
| F♯ minor | iim7♭5 | Predominant |
| A major | viim7♭5 | Dominant function |
Classification system: common-practice functional harmony.
Change one note
Chords a single note away, and what moving that note does.
| Chord | Change | Formula | Common tones |
|---|---|---|---|
| G♯dim | drops F♯ | 1 ♭3 ♭5 | 3 |
| G♯m7 | D becomes D♯ | 1 ♭3 5 ♭7 | 3 |
| G♯dim7 | F♯ becomes F | 1 ♭3 ♭5 ♭♭7 | 3 |
| G♯m9 | D becomes D♯, A♯ | 1 ♭3 5 ♭7 9 | 3 |
| G♯m | D, F♯ becomes D♯ | 1 ♭3 5 | 2 |
| G♯7 | B, D becomes B♯, D♯ | 1 3 5 ♭7 | 2 |
| G♯mMaj7 | D, F♯ becomes D♯, F× | 1 ♭3 5 7 | 2 |
| G♯aug7 | B, D becomes B♯, D× | 1 3 ♯5 ♭7 | 2 |
| G♯7sus4 | B, D becomes C♯, D♯ | 1 4 5 ♭7 | 2 |
| G♯m6 | D, F♯ becomes D♯, E♯ | 1 ♭3 5 6 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| G♯3 | 56 | 207.65 Hz |
| B3 | 59 | 246.94 Hz |
| D4 | 62 | 293.66 Hz |
| F♯4 | 66 | 369.99 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {8, 11, 2, 6}
- Normal order
- [6, 8, 11, 2]
- Prime form
- (0258)
- Forte number
- 4-27
- Interval vector
- <012111>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| G♯ to B | Minor third | 3 | 3 |
| G♯ to D | Tritone | 6 | 6 |
| G♯ to F♯ | Minor seventh | 10 | 2 |
| B to D | Minor third | 3 | 3 |
| B to F♯ | Perfect fifth | 7 | 5 |
| D to F♯ | Major third | 4 | 4 |
Where these facts come from
Every value on this page is derived from the note formula for a half diminished 7th applied to the root G♯, using standard music theory. Nothing here is hand-entered per chord, so the notes, intervals, inversions and frequencies cannot drift out of agreement with each other. Pitches assume 12-TET at A440.