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

A Minor

Notes: A - C - E | Degrees: 1 - ♭3 - 5 | Written: Am, Amin, A-

Construction: Root, Minor 3rd, Perfect 5th

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

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

Inversions: Root Am - 1st Am/C - 2nd Am/E

Related boards
Am7 st, 96.0 mmRoot position, figured bass 5/3

A3, C4, E4

Fingerings

Root position: either hand, fingers low note to high
HandNotesFingers
RightA, C, E1-3-5
LeftA, C, E5-3-1

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

A Minor: notes and degrees

Am contains A, C and E. A minor third with a perfect fifth above the root.

Scale degree, note, and interval measured from the root.
DegreeNoteInterval from rootSemitones
1APerfect unison0
♭3CMinor third3
5EPerfect fifth7

Every note is a white key.

Construction

A Minor = Root + Minor 3rd + Perfect 5th = A, C, E
NoteIntervalDegree
ARoot1
CMinor 3rd♭3
EPerfect 5th5

Fingering

NoteKey colorRight handLeft hand
Awhitethumb (1)little finger (5)
Cwhitemiddle finger (3)middle finger (3)
Ewhitelittle finger (5)thumb (1)

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

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

A Minor Inversions

  • Root position
    A – C – E
  • 1st inversion (Am/C)
    C – E – A
  • 2nd inversion (Am/E)
    E – A – C

Key Signature

A chord has no key signature of its own, but the A Minor is the tonic (i) chord of A Minor, which shares the signature of its relative major, C Major: no sharps or flats.

Chords in the Key of A Minor

These are the triads built on each degree of A Minor:

C1C2C3C4ACEC6C7C8
iA Minor (minor)
DegreeNumeralChordQuality
1iA MinorMinor
2ii°B DiminishedDiminished
3IIIC MajorMajor
4ivD MinorMinor
5vE MinorMinor
6VIF MajorMajor
7VIIG MajorMajor

How A Minor functions in a key

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

  • In C major, A Minor is the vi chordthe tonic.
  • In A minor, A Minor is the i chordthe tonic.
  • In G major, A Minor is the ii chorda predominant.
  • In E minor, A Minor is the iv chorda predominant.
  • In F major, A Minor is the iii chorda mediant / color chord.
  • In D minor, A Minor is the v chord.

Scales That Include the A Minor

A Minor : Frequently Asked Questions

What notes are in Am?
Am contains A, C and E. The formula is 1, ♭3, 5.
How do you play Am on piano?
Play A, C and E together. Right hand fingers 1, 3, 5; left hand 5, 3, 1. Every note is a white key.
What are the inversions of Am?
3 positions: root position A C E, Am/C, Am/E.
What keys contain Am?
6: vi in C major, v in D minor, iv in E minor, iii in F major, ii in G major, i in A minor.
What is the difference between Am and Am7?
Adds G. 3 of the notes are shared.
What is an easy Am for small hands?
The root and third only voicing, A3 C4, spans 3 semitones or about 41 mm.
What are the frequencies of Am?
From A3 at A440 in 12-TET: 220.00, 261.63, 329.63 Hz.
What is the set class of Am?
Prime form (037), Forte 3-11, interval vector <001110>.
How do I transpose Am to another key?
Keep the 1, ♭3, 5 formula on the new root. Cm is C, E♭, G; C♯m is C♯, E, G♯.

A Minor in detail

Exact

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

TypeNotesSemitonesSpanOmissions and additionsSet relationFit
Close, root positionA3 C4 E4796 mmnoneidentical
Close, first inversionC4 E4 A49124 mmnoneidentical
Close, second inversionE4 A4 C58110 mmnoneidentical
Open, fifth on topA2 E3 C415206 mmnoneidentical

Reduced

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

TypeNotesSemitonesSpanOmissions and additionsSet relationFit
Root and third onlyA3 C4341 mmomits Esubset

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

Which keys it belongs to

KeyRoman numeralFunction
C majorviTonic substitute
D minorvMinor dominant
E minorivSubdominant
F majoriiiTonic substitute
G majoriiPredominant
A minoriTonic, home

Classification system: common-practice functional harmony.

Change one note

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

ChordChangeFormulaCommon tones
Am7adds G1 ♭3 5 ♭73
AmMaj7adds G♯1 ♭3 5 73
Am6adds F♯1 ♭3 5 63
AC becomes C♯1 3 52
AdimE becomes E♭1 ♭3 ♭52
Asus2C becomes B1 2 52
Asus4C becomes D1 4 52
Amaj7C becomes C♯, G♯1 3 5 72
A7C becomes C♯, G1 3 5 ♭72
Am7♭5E becomes E♭, G1 ♭3 ♭5 ♭72
Adim7E becomes E♭, G♭1 ♭3 ♭5 ♭♭72
A7sus4C becomes D, G1 4 5 ♭72

Frequencies

NoteMIDIFrequency
A357220.00 Hz
C460261.63 Hz
E464329.63 Hz

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

Set theory: prime form, Forte number, interval vector
Absolute pitch class set
{9, 0, 4}
Normal order
[9, 0, 4]
Prime form
(037)
Forte number
3-11
Interval vector
<001110>
PairIntervalSemitonesInterval class
A to CMinor third33
A to EPerfect fifth75
C to EMajor third44

Where these facts come from

Every value on this page is derived from the note formula for a minor applied to the root A, 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. A. Eaglefield Hull (1915)

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

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

    A Manual of Harmony

    Public domain treatise
  3. 3. W. A. Mozart (1783)

    Piano Sonata No. 11 in A major, K. 331

    Public domain score
  4. 4. piano.org

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

    Primary data