Construction
| Note | Interval | Degree |
|---|---|---|
| G | Root | 1 |
| B♭ | Minor 3rd | ♭3 |
| D♭ | Diminished 5th | ♭5 |
| F♭ | Major 6th | 6 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| G | white | thumb (1) | little finger (5) |
| B♭ | black | index finger (2) | middle finger (3) |
| D♭ | black | middle finger (3) | index finger (2) |
| F♭ | white | little finger (5) | thumb (1) |
Right hand: thumb (1) on G, index finger (2) on B♭, middle finger (3) on D♭, little finger (5) on F♭.
Left hand: little finger (5) on G, middle finger (3) on B♭, index finger (2) on D♭, thumb (1) on F♭.
G Diminished 7th Inversions
- Root positionG – B♭ – D♭ – F♭
- 1st inversion (Gdim7/B♭)B♭ – D♭ – F♭ – G
- 2nd inversion (Gdim7/D♭)D♭ – F♭ – G – B♭
- 3rd inversion (Gdim7/F♭)F♭ – G – B♭ – D♭
Key Signature
A Diminished 7th 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:
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 the following:
G Diminished 7th : Frequently Asked Questions
What is the G Diminished 7th chord on piano?
What notes are in the G Diminished 7th chord?
How does G Diminished 7th differ from G Diminished?
Why is the Diminished 7th chord symmetrical?
How is G Diminished 7th used in music?
What songs use Diminished 7th chords?
How many unique Diminished 7th chords exist?
G 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 | G3 B♭3 D♭4 F♭4 | 9 | 124 mm | none | identical | |
| Close, first inversion | B♭3 D♭4 F♭4 G4 | 9 | 124 mm | none | identical | |
| Close, second inversion | D♭4 F♭4 G4 B♭4 | 9 | 124 mm | none | identical | |
| Close, third inversion | F♭4 G4 B♭4 D♭5 | 9 | 124 mm | none | identical | |
| Drop 2 | D♭3 G3 B♭3 F♭4 | 15 | 206 mm | none | identical | |
| Drop 3 | B♭2 G3 D♭4 F♭4 | 18 | 248 mm | none | identical | |
| Drop 2 and 4 | G2 D♭3 B♭3 F♭4 | 21 | 289 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 | G2 F♭3 B♭3 | 15 | 206 mm | omits D♭ | subset | |
| Guide tones, ♭3 and ♭♭7 | B♭3 F♭4 | 6 | 83 mm | omits G and D♭ | subset | |
| Rootless close | B♭3 D♭4 F♭4 | 6 | 83 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 | G3, B♭3, D♭4, F♭4 | 7 | 9 | 124 mm |
| First inversion: Gdim7/B♭ | B♭ | B♭3, D♭4, F♭4, G4 | 6/5 | 9 | 124 mm |
| Second inversion: Gdim7/D♭ | D♭ | D♭4, F♭4, G4, B♭4 | 4/3 | 9 | 124 mm |
| Third inversion: Gdim7/F♭ | F♭ | F♭4, G4, B♭4, D♭5 | 4/2 | 9 | 124 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 |
|---|
Root motion, common tones and voice displacement are computed from pitch class sets. Roman numerals follow common practice functional harmony.
Change one note
Chords a single note away, and what moving that note does.
| Chord | Change | Formula | Common tones |
|---|---|---|---|
| Gdim | drops F♭ | 1 ♭3 ♭5 | 3 |
| Gm7♭5 | F♭ becomes F | 1 ♭3 ♭5 ♭7 | 3 |
| Gm6 | D♭ becomes D | 1 ♭3 5 6 | 3 |
| Gm | D♭, F♭ becomes D | 1 ♭3 5 | 2 |
| Gm7 | D♭, F♭ becomes D, F | 1 ♭3 5 ♭7 | 2 |
| GmMaj7 | D♭, F♭ becomes D, F♯ | 1 ♭3 5 7 | 2 |
| G6 | B♭, D♭ becomes B, D | 1 3 5 6 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| G3 | 55 | 196.00 Hz |
| B♭3 | 58 | 233.08 Hz |
| D♭4 | 61 | 277.18 Hz |
| F♭4 | 64 | 329.63 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {7, 10, 1, 4}
- Normal order
- [1, 4, 7, 10]
- Prime form
- (0369)
- Forte number
- 4-28
- Interval vector
- <004002>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| G to B♭ | Minor third | 3 | 3 |
| G to D♭ | Tritone | 6 | 6 |
| G to F♭ | Major sixth | 9 | 3 |
| B♭ to D♭ | Minor third | 3 | 3 |
| B♭ to F♭ | Tritone | 6 | 6 |
| D♭ to F♭ | Minor third | 3 | 3 |
Where these facts come from
Every value on this page is derived from the note formula for a 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.