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C♭ Major

Notes: C♭ - E♭ - G♭ | Degrees: 1 - 3 - 5 | Written: C♭maj, C♭M

Construction: Root, Major 3rd, Perfect 5th

It comes from the Cb Major scale (Cb, Db, Eb, Fb, Gb, Ab, and Bb) and is formed using the 1st, 3rd, and 5th scale degrees

Fingering: RH 1-3-5, LH 5-3-1

Inversions: Root C♭ - 1st C♭/E♭ - 2nd C♭/G♭

Related boards
C♭7 st, 96.0 mmRoot position, figured bass 5/3

C♭3, E♭4, G♭4

Fingerings

Root position: either hand, fingers low note to high
HandNotesFingers
RightC♭, E♭, G♭1-3-5
LeftC♭, E♭, G♭5-3-1

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

C♭ Major: notes and degrees

C♭ contains C♭, E♭ and G♭. A major third with a perfect fifth above the root.

Scale degree, note, and interval measured from the root.
DegreeNoteInterval from rootSemitones
1C♭Perfect unison0
3E♭Major third4
5G♭Perfect fifth7

E♭ and G♭ are black keys; C♭ is white.

Construction

C♭ Major = Root + Major 3rd + Perfect 5th = C♭, E♭, G♭
NoteIntervalDegree
C♭Root1
E♭Major 3rd3
G♭Perfect 5th5

Fingering

NoteKey colorRight handLeft hand
C♭whitethumb (1)little finger (5)
E♭blackmiddle finger (3)middle finger (3)
G♭blacklittle finger (5)thumb (1)

Right hand: thumb (1) on C♭, middle finger (3) on E♭, little finger (5) on G♭.

Left hand: little finger (5) on C♭, middle finger (3) on E♭, thumb (1) on G♭.

C♭ Major Inversions

  • Root position
    C♭ – E♭ – G♭
  • 1st inversion (C♭/E♭)
    E♭ – G♭ – C♭
  • 2nd inversion (C♭/G♭)
    G♭ – C♭ – E♭

Key Signature

A chord has no key signature of its own, but the C♭ Major is the tonic (I) chord of C♭ Major, whose key signature has 7 flats (B♭, E♭, A♭, D♭, G♭, C♭, F♭).

B♭E♭A♭D♭G♭C♭F♭

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 C♭ Major

These are the triads built on each degree of C♭ Major:

C1C2C3C4C♭C5C6C7C8E♭G♭
IC♭ Major (major)
DegreeNumeralChordQuality
1IC♭ MajorMajor
2iiD♭ MinorMinor
3iiiE♭ MinorMinor
4IVF♭ MajorMajor
5VG♭ MajorMajor
6viA♭ MinorMinor
7vii°B♭ DiminishedDiminished

How C♭ Major functions in a key

The same chord takes on a different harmonic role depending on the key it appears in. Here is where C♭ Major sits diatonically across the common keys:

  • In C♭ major, C♭ Major is the I chordthe tonic.
  • In E♭ minor, C♭ Major is the VI chordthe tonic.
  • In G♭ major, C♭ Major is the IV chorda predominant.
  • In A♭ minor, C♭ Major is the III chorda mediant / color chord.

Scales That Include the C♭ Major

C♭ Major : Frequently Asked Questions

What notes are in C♭?
C♭ contains C♭, E♭ and G♭. The formula is 1, 3, 5.
How do you play C♭ on piano?
Play C♭, E♭ and G♭ together. Right hand fingers 1, 3, 5; left hand 5, 3, 1. E♭ and G♭ are black keys; C♭ is white.
What are the inversions of C♭?
3 positions: root position C♭ E♭ G♭, C♭/E♭, C♭/G♭.
What keys contain C♭?
6: ♭VII in C♯ minor, ♭VI in E♭ minor, V in E major, IV in G♭ major, ♭III in G♯ minor, I in B major.
What is the difference between C♭ and C♭maj7?
Adds B♭. 3 of the notes are shared.
What is an easy C♭ for small hands?
The root and third only voicing, C♭3 E♭4, spans 4 semitones or about 55 mm.
What are the frequencies of C♭?
From C♭3 at A440 in 12-TET: 246.94, 311.13, 369.99 Hz.
What is the set class of C♭?
Prime form (037), Forte 3-11, interval vector <001110>.
How do I transpose C♭ to another key?
Keep the 1, 3, 5 formula on the new root. C is C, E, G; C♯ is C♯, E♯, G♯.
Is B the same as C♭?
Enharmonically yes: the same piano keys and the same sound, spelled differently.

C♭ Major in detail

Exact

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

TypeNotesSemitonesSpanOmissions and additionsSet relationFit
Close, root positionC♭3 E♭4 G♭4796 mmnoneidentical
Close, first inversionE♭4 G♭4 C♭48110 mmnoneidentical
Close, second inversionG♭4 C♭4 E♭59124 mmnoneidentical
Open, fifth on topC♭2 G♭3 E♭416220 mmnoneidentical

Reduced

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

TypeNotesSemitonesSpanOmissions and additionsSet relationFit
Root and third onlyC♭3 E♭4455 mmomits G♭subset

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

Which keys it belongs to

KeyRoman numeralFunction
C♯ minor♭VIISubtonic
E♭ minor♭VIPre-dominant color
E majorVDominant, wants to resolve
G♭ 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
C♭maj7adds B♭1 3 5 73
C♭7adds B♭♭1 3 5 ♭73
C♭6adds A♭1 3 5 63
C♭add9adds D♭1 3 5 93
C♭mE♭ becomes E♭♭1 ♭3 52
C♭augG♭ becomes G1 3 ♯52
C♭sus2E♭ becomes D♭1 2 52
C♭sus4E♭ becomes F♭1 4 52
C♭m7E♭ becomes E♭♭, B♭♭1 ♭3 5 ♭72
C♭mMaj7E♭ becomes E♭♭, B♭1 ♭3 5 72
C♭aug7G♭ becomes G, B♭♭1 3 ♯5 ♭72
C♭7sus4E♭ becomes F♭, B♭♭1 4 5 ♭72

Frequencies

NoteMIDIFrequency
C♭359246.94 Hz
E♭463311.13 Hz
G♭466369.99 Hz

Reference pitch A440, 12-TET, close root position.

Set theory: prime form, Forte number, interval vector
Absolute pitch class set
{11, 3, 6}
Normal order
[11, 3, 6]
Prime form
(037)
Forte number
3-11
Interval vector
<001110>
PairIntervalSemitonesInterval class
C♭ to E♭Major third44
C♭ to G♭Perfect fifth75
E♭ to G♭Minor third33

Where these facts come from

Every value on this page is derived from the note formula for a major applied to the root C♭, 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