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A piano reference: chords, scales, theory. Full MIDI.

B♭ Major

Notes: B♭ - D - F | Degrees: 1 - 3 - 5 | Written: B♭maj, B♭M

Construction: Root, Major 3rd, Perfect 5th

It comes from the Bb Major scale (Bb, C, D, Eb, F, G, and A) and is formed using the 1st, 3rd, and 5th scale degrees

Fingering: RH 2-3-5, LH 5-3-2

Inversions: Root B♭ - 1st B♭/D - 2nd B♭/F

A♯ Major
This is the same chord as A♯ Major: the same keys on the keyboard, spelled with sharps.
Related boards
B♭7 st, 96.0 mmRoot position, figured bass 5/3

B♭3, D4, F4

Fingerings

Root position: either hand, fingers low note to high
HandNotesFingers
RightB♭, D, F1-3-5
LeftB♭, D, F5-3-1

Close-position standard fingering: either hand takes the whole shape. Thumb is 1, little finger is 5.

B♭ Major: notes and degrees

B♭ contains B♭, D and F. A major third with a perfect fifth above the root.

Scale degree, note, and interval measured from the root.
DegreeNoteInterval from rootSemitones
1B♭Perfect unison0
3DMajor third4
5FPerfect fifth7

B♭ is a black key; D and F are white.

Construction

B♭ Major = Root + Major 3rd + Perfect 5th = B♭, D, F
NoteIntervalDegree
B♭Root1
DMajor 3rd3
FPerfect 5th5

Fingering

NoteKey colorRight handLeft hand
B♭blackthumb (1)little finger (5)
Dwhitemiddle finger (3)middle finger (3)
Fwhitelittle 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 position
    B♭ – 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♭).

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.

BEADGCF

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:

C1C2C3C4C5DFC6C7C8B♭
IB♭ Major (major)
DegreeNumeralChordQuality
1IB♭ MajorMajor
2iiC MinorMinor
3iiiD MinorMinor
4IVE♭ MajorMajor
5VF MajorMajor
6viG MinorMinor
7vii°A DiminishedDiminished

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 chordthe tonic.
  • In D minor, B♭ Major is the VI chordthe tonic.
  • In E♭ major, B♭ Major is the V chordthe dominant.
  • In F major, B♭ Major is the IV chorda predominant.
  • In G minor, B♭ Major is the III chorda mediant / color chord.
  • In C minor, B♭ Major is the ♭VII chorda mediant / color chord.

Scales That Include the B♭ Major

B♭ Major : Frequently Asked Questions

What notes are in B♭?
B♭ contains B♭, D and F. The formula is 1, 3, 5.
How do you play B♭ on piano?
Play B♭, D and F together. Right hand fingers 1, 3, 5; left hand 5, 3, 1. B♭ is a black key; D and F are white.
What are the inversions of B♭?
3 positions: root position B♭ D F, B♭/D, B♭/F.
What keys contain B♭?
6: ♭VII in C minor, ♭VI in D minor, V in E♭ major, IV in F major, ♭III in G minor, I in B♭ major.
What is the difference between B♭ and B♭maj7?
Adds A. 3 of the notes are shared.
What is an easy B♭ for small hands?
The root and third only voicing, B♭3 D4, spans 4 semitones or about 55 mm.
What are the frequencies of B♭?
From B♭3 at A440 in 12-TET: 233.08, 293.66, 349.23 Hz.
What is the set class of B♭?
Prime form (037), Forte 3-11, interval vector <001110>.
How do I transpose B♭ to another key?
Keep the 1, 3, 5 formula on the new root. C is C, E, G; C♯ is C♯, E♯, G♯.
Is A♯ the same as B♭?
Enharmonically yes: the same piano keys and the same sound, spelled differently.

B♭ Major in detail

Exact

Every pitch class is present and nothing outside the chord is added.

TypeNotesSemitonesSpanOmissions and additionsSet relationFit
Close, root positionB♭3 D4 F4796 mmnoneidentical
Close, first inversionD4 F4 B♭48110 mmnoneidentical
Close, second inversionF4 B♭4 D59124 mmnoneidentical
Open, fifth on topB♭2 F3 D416220 mmnoneidentical

Reduced

A subset of the pitch classes: the identity is incomplete rather than altered.

TypeNotesSemitonesSpanOmissions and additionsSet relationFit
Root and third onlyB♭3 D4455 mmomits Fsubset

Spans are measured centre to centre at a 165 mm octave (standard keyboard geometry).

Which keys it belongs to

KeyRoman numeralFunction
C minor♭VIISubtonic
D minor♭VIPre-dominant color
E♭ majorVDominant, wants to resolve
F majorIVSubdominant, away from home
G minor♭IIIRelative-major color
B♭ majorITonic, home

Classification system: common-practice functional harmony.

Change one note

Chords a single note away, and what moving that note does.

ChordChangeFormulaCommon tones
B♭maj7adds A1 3 5 73
B♭7adds A♭1 3 5 ♭73
B♭6adds G1 3 5 63
B♭add9adds C1 3 5 93
B♭mD becomes D♭1 ♭3 52
B♭augF becomes F♯1 3 ♯52
B♭sus2D becomes C1 2 52
B♭sus4D becomes E♭1 4 52
B♭m7D becomes D♭, A♭1 ♭3 5 ♭72
B♭mMaj7D becomes D♭, A1 ♭3 5 72
B♭aug7F becomes F♯, A♭1 3 ♯5 ♭72
B♭7sus4D becomes E♭, A♭1 4 5 ♭72

Frequencies

NoteMIDIFrequency
B♭358233.08 Hz
D462293.66 Hz
F465349.23 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>
PairIntervalSemitonesInterval class
B♭ to DMajor third44
B♭ to FPerfect fifth75
D to FMinor third33

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.

References and further reading

The visible claims on this chord page are grounded in these verified sources.

  1. 1. Karl W. Gehrkens (1914)

    Music Notation and Terminology

    Public domain treatise
  2. 2. A. Eaglefield Hull (1915)

    Modern Harmony: Its Explanation and Application, Whole-tone scale, pp. 69, 192 and glossary p. 219

    Public domain treatise
  3. 3. Salomon Jadassohn (1883)

    A Manual of Harmony

    Public domain treatise
  4. 4. piano.org

    piano.org chord note dataset: 43 chord types × 18 keys, derived from interval construction rules

    Primary data