Construction
| Note | Interval | Degree |
|---|---|---|
| E | Root | 1 |
| G | Minor 3rd | ♭3 |
| B♭ | Diminished 5th | ♭5 |
| D♭ | Major 6th | 6 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| E | white | thumb (1) | little finger (5) |
| G | white | index finger (2) | middle finger (3) |
| B♭ | black | middle finger (3) | index finger (2) |
| D♭ | black | little finger (5) | thumb (1) |
Right hand: thumb (1) on E, index finger (2) on G, middle finger (3) on B♭, little finger (5) on D♭.
Left hand: little finger (5) on E, middle finger (3) on G, index finger (2) on B♭, thumb (1) on D♭.
E Diminished 7th Inversions
- Root positionE – G – B♭ – D♭
- 1st inversion (Edim7/G)G – B♭ – D♭ – E
- 2nd inversion (Edim7/B♭)B♭ – D♭ – E – G
- 3rd inversion (Edim7/D♭)D♭ – E – G – B♭
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 E Major
These are the triads built on each degree of E Major:
Same Notes, Other Names
The notes E – G – B♭ – D♭ 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:
E Diminished 7th : Frequently Asked Questions
What is the E Diminished 7th chord on piano?
What notes are in the E Diminished 7th chord?
How does E Diminished 7th differ from E Diminished?
Why is the Diminished 7th chord symmetrical?
How is E Diminished 7th used in music?
What songs use Diminished 7th chords?
How many unique Diminished 7th chords exist?
E 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 | E3 G3 B♭3 D♭4 | 9 | 124 mm | none | identical | |
| Close, first inversion | G3 B♭3 D♭4 E4 | 9 | 124 mm | none | identical | |
| Close, second inversion | B♭3 D♭4 E4 G4 | 9 | 124 mm | none | identical | |
| Close, third inversion | D♭4 E4 G4 B♭4 | 9 | 124 mm | none | identical | |
| Drop 2 | B♭2 E3 G3 D♭4 | 15 | 206 mm | none | identical | |
| Drop 3 | G2 E3 B♭3 D♭4 | 18 | 248 mm | none | identical | |
| Drop 2 and 4 | E2 B♭2 G3 D♭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 | E2 D♭3 G3 | 15 | 206 mm | omits B♭ | subset | |
| Guide tones, ♭3 and ♭♭7 | G3 D♭4 | 6 | 83 mm | omits E and B♭ | subset | |
| Rootless close | G3 B♭3 D♭4 | 6 | 83 mm | omits E | 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 | E | E3, G3, B♭3, D♭4 | 7 | 9 | 124 mm |
| First inversion: Edim7/G | G | G3, B♭3, D♭4, E4 | 6/5 | 9 | 124 mm |
| Second inversion: Edim7/B♭ | B♭ | B♭3, D♭4, E4, G4 | 4/3 | 9 | 124 mm |
| Third inversion: Edim7/D♭ | D♭ | D♭4, E4, G4, B♭4 | 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 |
|---|---|---|---|
| Edim | drops D♭ | 1 ♭3 ♭5 | 3 |
| Em7♭5 | D♭ becomes D | 1 ♭3 ♭5 ♭7 | 3 |
| Em6 | B♭ becomes B | 1 ♭3 5 6 | 3 |
| Em | B♭, D♭ becomes B | 1 ♭3 5 | 2 |
| Em7 | B♭, D♭ becomes B, D | 1 ♭3 5 ♭7 | 2 |
| EmMaj7 | B♭, D♭ becomes B, D♯ | 1 ♭3 5 7 | 2 |
| E6 | G, B♭ becomes G♯, B | 1 3 5 6 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| E3 | 52 | 164.81 Hz |
| G3 | 55 | 196.00 Hz |
| B♭3 | 58 | 233.08 Hz |
| D♭4 | 61 | 277.18 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {4, 7, 10, 1}
- Normal order
- [1, 4, 7, 10]
- Prime form
- (0369)
- Forte number
- 4-28
- Interval vector
- <004002>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| E to G | Minor third | 3 | 3 |
| E to B♭ | Tritone | 6 | 6 |
| E to D♭ | Major sixth | 9 | 3 |
| G to B♭ | Minor third | 3 | 3 |
| G to D♭ | Tritone | 6 | 6 |
| B♭ to D♭ | 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 E, 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.