Music and Acoustics · piano

Piano Chords

Every inversion on a keyboard drawn to the right proportions — with a fingering for each hand, and progressions voiced so your hand barely moves.
two hands, not one shape
C major
Region Global. Twelve-tone equal temperament and a standard keyboard layout. Chord symbols follow the common English-language convention; fingerings are conventional defaults for chords played on their own.

The chord

C

How to play it

root
An inversion is the same chord with a different note at the bottom. The sound barely changes; the bass line changes completely, which is what you are choosing between.

On the keys

Cmajor triad
right hand left hand the root the number on a key is the finger: 1 is the thumb

Every inversion

Same notes, different order. Pick the one whose bass note leads best from the chord before it — which is what the next panel does for you.

A progression, voiced

Every chord is chosen from its own inversions to sit as close as possible to the one before it. Nothing about which chords they are changes — only which of the same notes you put where.

What chord is this

click the keys
—click three or more keys

Worked out by trying every note in turn as the root and matching what is left against the interval patterns. If the lowest note is not the root, it says so with a slash — C/E is a C chord with an E underneath.

How it works

A chord is a set of distances, and then a decision

A list of distances

A major triad is 0, 4, 7 semitones from its root. Every chord here is such a list added to a note number; the work is the order, the hands, the fingers.

The keyboard is drawn

Black keys are not centred. One rule, that the visible front of every white key is the same width, places all five, and C♯ sits nearer C, D♯ nearer E.

Naming backwards

Press four keys and ask what it is: try each note as the root, measure the rest, match a pattern. The bass breaks ties, and a bass that is not the root gives a slash chord.

Voice leading

For each chord, try every inversion in every reachable octave and keep the one nearest the last. Most notes should not move.

Worked example. Play C, F, G, C all in root position and your hand jumps around the keyboard and the result sounds like four separate events. Choose a different inversion of each and the same four chords can be played with the notes barely moving, most of them staying exactly where they are. The page reports the total distance travelled both ways, and the smoothed version is typically less than a third of the root-position one: the single biggest difference between a chord chart and something that sounds like piano playing. Everything assumes twelve-tone equal temperament and a standard 88-key layout.
Field notes

Why this chord looks like that

An inversion changes what the bass does

Not the chord’s name or function, but the bass is most of what a listener hears as movement. C major with an E at the bottom is still C major; it feels like it is on its way somewhere rather than sitting still.

Why the left hand only gets two notes

Three or four notes stacked in the bottom octave turn to mud: the lower the notes, the more the overtones of one interfere with the fundamental of another. Root and fifth, or just the root, leaves the harmony to the right hand where it stays legible. The tool follows that convention and lets you override it.

What a slash chord is

A chord with a specified bass that is not its root, written C/E and said “C over E”. Most of the time it is simply an inversion given a name; occasionally the bass note is not in the chord at all, which is a different and more interesting thing.

The fingerings are only suggestions

The right fingering depends on what comes next, and this page does not know. The numbers are the conventional ones for each shape on its own (thumb on the lowest note in the right hand, little finger on the lowest in the left); inside a real passage, a fingering that sets up the next chord beats one that is comfortable in isolation.

Can I use this for guitar?

The theory is identical and the shapes are not, because a guitar cannot play any six notes you like. Guitar Chords works the same problem out against six strings and a hand that can reach four frets.

Live notes

Why this chord looks like that

Questions

What people ask

Does an inversion change the chord?

Not its name and not its function, but it changes what the bass is doing, and the bass is most of what a listener hears as movement. C major with an E at the bottom is still C major; it just feels like it is on its way somewhere rather than sitting still. That is why the choice matters even though the notes are identical.

Why are the fingerings only suggestions?

Because the right fingering depends on what comes next, and this page does not know. The numbers shown are the conventional ones for each shape played on its own — thumb on the lowest note in the right hand, little finger on the lowest in the left — and they are a sound default. Inside a real passage, a fingering that sets up the following chord beats a fingering that is comfortable in isolation.

Why does the left hand only get two notes?

Because that is usually what sounds best. Three or four notes stacked in the bottom octave turn to mud: the lower the notes, the more the overtones of one interfere with the fundamental of another. Root and fifth, or just the root, leaves the harmony to the right hand where it stays legible. The tool follows that convention and lets you override it.

What is a slash chord?

A chord with a specified bass note that is not its root — written C/E and said "C over E". Most of the time it is simply an inversion given a name, because the bass player or the left hand needs telling which note to take. Occasionally the bass note is not in the chord at all, which is a different and more interesting thing.

Can I use this for guitar?

The theory is identical and the shapes are not, because a guitar cannot play any six notes you like. Guitar chords works the same problem out against six strings and a hand that can reach four frets.

What this page assumes

Twelve-tone equal temperament and a standard 88-key layout. The keyboard proportions come from the equal-front construction described above with a black key about 0.58 of a white key's width, which is close to most modern pianos but not identical to any particular maker. Fingerings are conventional defaults for isolated chords. The voice-leading search minimises total semitone movement, which is one reasonable definition of smooth and not the only one — real voice leading also avoids parallel fifths and keeps the melody on top, and neither of those is modelled here.

Equal temperament, standard voicings. Chord shapes are one common voicing of each, not the only one. Real playing moves inner voices, drops notes and adds them, and a chord symbol has always been an instruction rather than a specification. See Sources.
Version history · site-wide passes only

This page has changed in 120 archived releases, but each of those was a site-wide pass, so none is attributable to this tool on its own and none is listed here. That is not a claim that the tool never changed — a release that reworked many pages at once may well have altered this one too. The changelog has them.

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