AP® Music Theory · Unit 4 · Topic 4.2

SATB Ranges, Spacing, and Voice Crossing

SATB writing assigns each voice a fixed range and stem direction, keeps soprano-alto and alto-tenor within an octave of each other, but lets the bass sit as far below the tenor as the chord needs.

Four-part writing imitates a choir: soprano, alto, tenor, and bass each live in their own range, and on the grand staff each gets a fixed stem direction so you can tell voices apart at a glance. Soprano and alto share the treble staff, stems up for soprano, down for alto. Tenor and bass share the bass staff, stems up for tenor, down for bass. Spacing rules keep the texture sounding like a blended choir instead of a cluster or a gap: soprano to alto, and alto to tenor, must each stay within an octave, twelve half steps. Go wider and the two voices stop reinforcing each other and the chord sounds hollow on top.

The bass is exempt. It can drop a tenth, an octave and a fourth, even two octaves below the tenor without any penalty, because low pitches naturally sound farther apart to the ear than high ones. This is exactly why exercises look cramped up top and roomy at the bottom: the upper three voices are squeezed into overlapping octaves while the bass ranges freely underneath, often doubling the root an octave or two down.

Voice crossing is the other spacing issue: normally soprano stays above alto, alto above tenor, tenor above bass, and crossing those lines, even briefly, is avoided because it blurs which line is which. This topic sets up the physical geometry of a chord; the next step is spacing and doubling choices that keep each individual voice moving smoothly from chord to chord, which is where voice-leading rules about parallel fifths and octaves start to bite.

Key terms

SATB
The four-voice texture of soprano, alto, tenor, and bass used in chorale-style writing.
Spacing
The interval distance between adjacent voices in a chord.
Voice crossing
When a lower voice moves above a voice that should sit higher, or vice versa.
Stem direction
The fixed up or down direction assigned to each voice on the grand staff so voices stay visually distinct.

Watch it explained

  1. How it worksHow do four vocal ranges stack on a grand staff with stem directions fixed by voice?
  2. Worked exampleFind the spacing error in a chord voiced soprano C5, alto A3, tenor F3, bass F2.
  3. Common mistakeWhy doesn't the bass have to stay within an octave of the tenor?

Check yourself

Your turn1 of 2
Adjacent upper voices, soprano-alto or alto-tenor, must stay within an octave, twelve half steps, of each other. In a chord, alto sits 18 half steps below soprano. By how many half steps does this spacing exceed the twelve-half-step limit?

End of topic.