Giant Steps

“Giant Steps” is the tune that made an entire generation of saxophonists sweat. John Coltrane took the familiar ii-V-I cadence, kept its shape, but pointed it at three key centers spaced a major third apart instead of one — so the harmony never settles, never lets a tonic feel like home. It’s tonality built on a geometric idea rather than a functional one, and it remains the entry exam for playing fast-moving changes.

Why divide the octave into thirds

Ordinary tonal harmony moves by fifths — the engine behind the circle of fifths and most of the Hard Bop repertoire Coltrane came up playing. Coltrane’s insight, worked out through the mid-1950s, was to replace that fifth-based motion with root movement in major thirds, which splits the octave into three equal, symmetrical slices: B, G, and E♭. Because major thirds don’t belong to any single key’s diatonic scale, jumping between these centers produces a kind of harmonic vertigo — each new key sounds like a fresh surprise rather than an earned resolution. This is the essence of what’s now called Coltrane Changes: a chromatic-mediant cycle standing in for the usual dominant-driven Harmonic Sequence.

The 16 bars, written out

The form cycles through B major, G major, and E♭ major, each approached by its own V7 (and occasionally a ii-V):

Look at the Root Motion underneath: B down a third to G, G down a third to E♭, E♭ back up to B (via its own V7) — the three centers just keep rotating. Each key gets a real dominant resolution (D7 to Gmaj7, B♭7 to E♭maj7, F♯7 to Bmaj7), so locally it still sounds like functional Modulation; it’s only when you zoom out that you see the symmetrical trick holding the whole thing together.

Here is the chord chart’s root motion notated directly, split into two eight-bar halves. First half:

Second half:

What the tempo does to the changes

At roughly 290 beats per minute with about two chords per bar, the Harmonic Rhythm of “Giant Steps” is brutal — you get maybe half a second per chord, nowhere near enough time to think through a scale choice. That’s exactly why the tune is inseparable from Coltrane’s Sheets of Sound approach: cascades of notes played too fast to parse as melody in real time, instead outlining the harmony through sheer density. Most improvisers who play this convincingly don’t reach for chord-scale theory on the fly; they lean on Digital Patterns like 1-2-3-5 arpeggio shapes drilled in advance for each chord, so the fingers already know where to go before the ear catches up. It rewards preparation and pattern fluency over in-the-moment invention — which is part of why it became a woodshedding rite of passage rather than a typical changes tune you’d sight-read on a gig.

The Flanagan solo, honestly

Pianist Tommy Flanagan is on the classic May 1959 recording, and his solo is famously tentative — audibly searching, occasionally landing behind the beat. This isn’t a knock on Flanagan; by most accounts he’d barely seen the tune before the session, and “Giant Steps” was a genuinely new kind of harmonic problem even for a superb bebop pianist. Coltrane, by contrast, sounds fully inside the changes, because he’d been practicing this exact three-key system in private for months. The contrast between the two solos on one track is a nice, honest reminder that “knowing the changes” and “hearing them at tempo” are different skills.

♫ Listen

• John Coltrane — “Giant Steps” (Giant Steps, Atlantic, recorded May 1959, released 1960): the master take with Tommy Flanagan, Paul Chambers, and Art Taylor — listen for how Coltrane’s tenor lines lock onto each new key the instant it arrives, while Flanagan’s piano solo audibly hunts for the next chord.
• John Coltrane — “Countdown” (Giant Steps, Atlantic, 1960): the same three-tonic system applied to a reharmonized “Tune Up,” useful for hearing the Coltrane-changes cycle stripped down and even faster.

Related: Coltrane Changes, Chromatic Mediants, Sheets of Sound, Root Motion, Harmonic Sequence, Naima