Questions and answers
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A minor third spans three half steps. From C, for example, a minor third up is E♭. The number in its name counts the letter names it covers, including both ends: from C to E♭, C D E is three, so it is a third. The three half steps make it minor. With one half step more, C to E, it would be a major third.
The minor third is the bottom of every minor chord (C to E♭ in C minor), and it also sits on top of every major chord (E to G in C major). On its own it has a softer, darker quality than the major third, and it is one of the first intervals the ear recognizes in a melody.
On the keyboard, a minor third always has two keys between its two notes. Depending on where it starts, those notes can fall on white or black keys, which gives it four different shapes.
Each shape sits a little differently under the hand, so it is worth knowing them all. Under each keyboard, the same notes are on the staff: played together, then up, then down.
Minor thirds that share this same shape are C–E♭, F–A♭, and G–B♭. There are two keys in between (one white, one black).
Minor thirds that share this same shape are D–F, E–G, A–C, and B–D. There are two keys in between (one white, one black).
Minor thirds that share this same shape are C♯–E, F♯–A, and G♯–B. There are two keys in between (one white, one black).
Minor thirds that share this same shape are E♭–G♭ and B♭–D♭. There are two keys in between, all white.
A third goes from a line to the next line up, or from a space to the next space. Both notes are on lines, or both are in spaces. That stays true whatever the accidentals are: every third looks like a third, and the accidentals tell us its quality.
This is what makes intervals so useful for reading. Rather than naming every note from the clef, we read from one note to the next: once we know where we are, the shape on the staff tells us how far to move. Reading this way is relational rather than absolute, and it is much faster.
It works the same in the treble and bass clef, and at any height on the staff, so a reader who knows the look of a third recognizes it everywhere.
In melodies and five-finger patterns, a third often skips a finger: 1 and 3, 2 and 4, 3 and 5. One note is skipped on the staff, and one finger is skipped in the hand.
The spacing on the staff and the spacing in the hand belong together. In a five-finger pattern, a step on the staff is often the next finger, and a skipped note a skipped finger, so the distance we see becomes a distance we feel.
If we move the lower note up an octave (or the upper note down one), a minor third becomes a major sixth: C to E♭ turns into E♭ to C. The numbers of an interval and its inversion add up to nine, and their half steps to twelve (3 + 9). Minor becomes major.
On the keyboard the shapes swap as well: a white-to-black shape inverts to a black-to-white one, and a white-to-white shape stays white to white.
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