Questions and answers
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A perfect fourth spans five half steps. From C, for example, a perfect fourth up is F. The number in its name counts the letter names it covers, including both ends: from C to F, C D E F is four, so it is a fourth. The five half steps make it perfect. Fourths and fifths, like unisons and octaves, are called perfect: they have no major or minor form.
The perfect fourth sounds open and a little hollow. Played together it is less settled than a fifth, and in the bass it often wants to move. As a leap in a melody it’s very common: many melodies begin by rising a fourth from the 5th of the key to the tonic, from G up to C in C major.
On the keyboard, a perfect fourth always has four 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 fourths that share this same shape are C–F, D–G, E–A, G–C, A–D, and B–E. There are four keys in between (two white, two black).
F–B♭ is the only perfect fourth with this shape. There are four keys in between (two white, two black).
F♯–B is the only perfect fourth with this shape. There are four keys in between (two white, two black).
Perfect fourths that share this same shape are D♭–G♭, E♭–A♭, A♭–D♭, and B♭–E♭. There are four keys in between (three white, one black).
A fourth goes from a line to a space, or from a space to a line, with one line and one space in between. That stays true whatever the accidentals are: every fourth looks like a fourth, 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 fourth recognizes it everywhere.
Fourths often fall under 1 and 4 or 2 and 5. In a five-finger pattern, a fourth is the distance from the thumb to the 4th finger, with two fingers skipped in between.
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 fourth becomes a perfect fifth: C to F turns into F to C. The numbers of an interval and its inversion add up to nine, and their half steps to twelve (5 + 7). 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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