Questions and answers
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A perfect fifth spans seven half steps. From C, for example, a perfect fifth up is G. The number in its name counts the letter names it covers, including both ends: from C to G, C D E F G is five, so it is a fifth. The seven half steps make it perfect. Fourths and fifths, like unisons and octaves, are called perfect: they have no major or minor form.
The perfect fifth is the most stable interval after the octave. It frames every major and minor chord, from the root to the 5th (C to G in C major and C minor), and on its own it sounds open, neither major nor minor. Because it sounds so complete, a bare fifth in the bass is often enough to establish a key.
On the keyboard, a perfect fifth always has six 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.
Perfect fifths that share this same shape are C–G, D–A, E–B, F–C, G–D, and A–E. There are six keys in between (three white, three black).
B–F♯ is the only perfect fifth with this shape. There are six keys in between (four white, two black).
B♭–F is the only perfect fifth with this shape. There are six keys in between (four white, two black).
Perfect fifths that share this same shape are D♭–A♭, E♭–B♭, G♭–D♭, and A♭–E♭. There are six keys in between (four white, two black).
A fifth goes from a line to a line with one line in between, or from a space to a space with one space in between. Both notes are on lines, or both are in spaces. That stays true whatever the accidentals are: every fifth looks like a fifth, 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 fifth recognizes it everywhere.
In a five-finger pattern, a fifth is the full span of the hand, thumb to 5th finger: 1 and 5 in either hand. This is the one interval where the staff, the keyboard and the hand line up most simply; the outer notes of a C position are a fifth apart.
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 perfect fifth becomes a perfect fourth: C to G turns into G to C. The numbers of an interval and its inversion add up to nine, and their half steps to twelve (7 + 5). A perfect interval stays perfect.
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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