Construction
| Note | Interval | Degree |
|---|---|---|
| B♭ | Root | 1 |
| D | Major 3rd | 3 |
| F | Perfect 5th | 5 |
Fingering
| Note | Key color | Right hand | Left hand |
|---|---|---|---|
| B♭ | black | thumb (1) | little finger (5) |
| D | white | middle finger (3) | middle finger (3) |
| F | white | little finger (5) | thumb (1) |
Right hand: thumb (1) on B♭, middle finger (3) on D, little finger (5) on F.
Left hand: little finger (5) on B♭, middle finger (3) on D, thumb (1) on F.
B♭ Major Inversions
- Root positionB♭ – D – F
- 1st inversion (B♭/D)D – F – B♭
- 2nd inversion (B♭/F)F – B♭ – D
Key Signature
A chord has no key signature of its own, but the B♭ Major is the tonic (I) chord of B♭ Major, whose key signature has 2 flats (B♭, E♭).
Order of flats
Flats are added in a fixed order — the reverse of the sharp order. Each new flat key adds the next flat on the list.
Mnemonic: Battle Ends And Down Goes Charles’ Father
Chords in the Key of B♭ Major
These are the triads built on each degree of B♭ Major:
How B♭ Major functions in a key
The same chord takes on a different harmonic role depending on the key it appears in. Here is where B♭ Major sits diatonically across the common keys:
- In B♭ major, B♭ Major is the I chord — the tonic.
- In D minor, B♭ Major is the VI chord — the tonic.
- In E♭ major, B♭ Major is the V chord — the dominant.
- In F major, B♭ Major is the IV chord — a predominant.
- In G minor, B♭ Major is the III chord — a mediant / color chord.
- In C minor, B♭ Major is the ♭VII chord — a mediant / color chord.
Scales That Include the B♭ Major
B♭ Major : Frequently Asked Questions
What notes are in B♭?
How do you play B♭ on piano?
What are the inversions of B♭?
What keys contain B♭?
What is the difference between B♭ and B♭maj7?
What is an easy B♭ for small hands?
What are the frequencies of B♭?
What is the set class of B♭?
How do I transpose B♭ to another key?
Is A♯ the same as B♭?
B♭ Major 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 | B♭3 D4 F4 | 7 | 96 mm | none | identical | |
| Close, first inversion | D4 F4 B♭4 | 8 | 110 mm | none | identical | |
| Close, second inversion | F4 B♭4 D5 | 9 | 124 mm | none | identical | |
| Open, fifth on top | B♭2 F3 D4 | 16 | 220 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 |
|---|---|---|---|---|---|---|
| Root and third only | B♭3 D4 | 4 | 55 mm | omits F | 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 | B♭ | B♭3, D4, F4 | 5/3 | 7 | 96 mm |
| First inversion: B♭/D | D | D4, F4, B♭4 | 6/3 | 8 | 110 mm |
| Second inversion: B♭/F | F | F4, B♭4, D5 | 6/4 | 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 |
|---|---|---|---|---|
| ♭VII, i | C minor | ♭VII | B♭ to Cm | B♭ opens the phrase |
| ♭VI, iv, i, v | D minor | ♭VI | B♭ to Gm to Dm to Am | B♭ opens the phrase |
| i, ♭VI | D minor | ♭VI | Dm to B♭ | 2 tones held from Dm |
| V, I | E♭ major | V | B♭ to E♭ | B♭ opens the phrase |
| ii, V, I | E♭ major | V | Fm to B♭ to E♭ | 1 tone held from Fm |
| IV, V, I | F major | IV | B♭ to C to F | B♭ opens the phrase |
| I, IV | F major | IV | F to B♭ | 1 tone held from F |
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 |
|---|---|---|
| C minor | ♭VII | Subtonic |
| D minor | ♭VI | Pre-dominant color |
| E♭ major | V | Dominant, wants to resolve |
| F major | IV | Subdominant, away from home |
| G minor | ♭III | Relative-major color |
| B♭ major | I | Tonic, home |
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 |
|---|---|---|---|
| B♭maj7 | adds A | 1 3 5 7 | 3 |
| B♭7 | adds A♭ | 1 3 5 ♭7 | 3 |
| B♭6 | adds G | 1 3 5 6 | 3 |
| B♭add9 | adds C | 1 3 5 9 | 3 |
| B♭m | D becomes D♭ | 1 ♭3 5 | 2 |
| B♭aug | F becomes F♯ | 1 3 ♯5 | 2 |
| B♭sus2 | D becomes C | 1 2 5 | 2 |
| B♭sus4 | D becomes E♭ | 1 4 5 | 2 |
| B♭m7 | D becomes D♭, A♭ | 1 ♭3 5 ♭7 | 2 |
| B♭mMaj7 | D becomes D♭, A | 1 ♭3 5 7 | 2 |
| B♭aug7 | F becomes F♯, A♭ | 1 3 ♯5 ♭7 | 2 |
| B♭7sus4 | D becomes E♭, A♭ | 1 4 5 ♭7 | 2 |
Frequencies
| Note | MIDI | Frequency |
|---|---|---|
| B♭3 | 58 | 233.08 Hz |
| D4 | 62 | 293.66 Hz |
| F4 | 65 | 349.23 Hz |
Reference pitch A440, 12-TET, close root position.
Set theory: prime form, Forte number, interval vector
- Absolute pitch class set
- {10, 2, 5}
- Normal order
- [10, 2, 5]
- Prime form
- (037)
- Forte number
- 3-11
- Interval vector
- <001110>
| Pair | Interval | Semitones | Interval class |
|---|---|---|---|
| B♭ to D | Major third | 4 | 4 |
| B♭ to F | Perfect fifth | 7 | 5 |
| 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 major applied to the root B♭, 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.