Polychord (Slash Chord) Trainer
Learn how a Polychord / slash chord is built one semitone-count at a time — a major triad (Lesson 8) rooted a whole step above the bass note, stacked over a dominant 7th chord (Lesson 13) built on that bass note — the app’s reference voicing for "X/Y" slash-chord notation — then put it to work with three MIDI exercises: playing all 12 polychords around the circle of fourths, and 5 jazz plus 5 gospel chord progressions that show off its color, in every key.
How a Polychord / slash chord is built
A Polychord / slash chord — written / (e.g. C/) — is a 7-note chord: a major triad (Lesson 8) rooted a whole step above the bass note, stacked over a dominant 7th chord (Lesson 13) built on that bass note — the app’s reference voicing for "X/Y" slash-chord notation. Every / chord — in any of the 12 keys — is built the exact same way, by counting semitones to the right from a root note:
- The starting note — this is the bass note, the "denominator" of the slash chord.
- Build a plain dominant 7th chord (Lesson 13) on this bass note: +4 (major 3rd, 4 semitones), +7 (perfect 5th), +10 (minor 7th) — that is the "lower" chord.
- Then count 2 semitones up from the root — this is the root of the "upper" triad stacked on top.
- Build a plain major triad (Lesson 8) on that note, a whole step above the bass: +4 more semitones (6 from the root) for its 3rd, and +3 more (9 from the root) for its 5th.
- The combined 7-note sound — a major triad rooted a whole step above the bass, played over a dominant 7th chord — is this app’s reference polychord, transposable to any of the 12 keys.
Try it: pick a root and build the chord step by step
| Chord tone | Note | Semitones from root | MIDI # |
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All 12 polychords at a glance
| Chord | Root | Upper triad root (+2) | Major 3rd | Upper triad 3rd (+6) | Perfect 5th | Upper triad 5th (+9) | Minor 7th |
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This MIDI exercise plays all 12 polychords, one after another, moving around the circle of fourths — each chord's root sits a perfect 4th (5 semitones) above the last one: C → F → B♭ → E♭ → A♭ → D♭ → G♭/F♯ → B → E → A → D → G → back to C. Every chord is played as a full 7-note Polychord / slash chord (root (bass), upper triad root (+2), major 3rd, upper triad 3rd (+6), perfect 5th, upper triad 5th (+9), minor 7th together).
The 12 chords, in circle-of-fourths order
| # | Chord | Root | Upper triad root (+2) | Major 3rd | Upper triad 3rd (+6) | Perfect 5th | Upper triad 5th (+9) | Minor 7th |
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Five jazz chord progressions built around the Polychord / slash chord. Pick a progression and play it in one key or cycle through all 12.
Progression in C
| Degree | Chord | Notes |
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Five gospel chord progressions built around the Polychord / slash chord. Pick a progression and play it in one key or cycle through all 12.
Progression in C
| Degree | Chord | Notes |
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