Four-Part Writing · Lesson 2
Forbidden Parallels - Fifths and Octaves
about 16 min
What this lesson is for
The most strictly avoided motion in classical harmony is parallel perfect fifths and octaves. Rather than memorizing the rule, this lesson plays the examples first so you can hear a voice disappearing.
- Explain the ban on parallel fifths and octaves in terms of voice independence
- Explain why there are six pairs of voices to check in a four-part texture
- Explain how hidden fifths and octaves differ from parallels
- Explain why melodic augmented intervals are avoided in minor keys
In this lesson
Of all the rules in four-part writing, the best known and most strictly observed is the ban on parallel fifths and octaves.
Textbooks usually state the rule first. This lesson reverses that order: play it first, then work out why.
Listen first
With parallel fifths, and repaired
Check: Both move from V to I. In the first, tenor and bass rise together while holding a perfect 5th. Listen closely and those two voices stop sounding like two people and fuse into one thick tone. In the second the tenor goes somewhere else, and all four voices are audibly independent. The chord names are the same in both.
tenor and bass move in parallel, holding a perfect 5th
What you just heard is the whole of the rule.
Why they are forbidden
Four-part writing assumes four people singing independently. Each of the four voices has to be audible as its own melodic line.
Perfect fifths and perfect octaves are the most consonant intervals there are. As Unit 1 established, they fuse two notes into something that sounds like one.
So what happens when two voices move in the same direction while holding one of those intervals? They stay fused, and stop being distinguishable as separate lines. In effect the texture loses a voice.
Check all six pairs
This is where mistakes are most often missed. Do not stop at the outer voices.
Choosing two voices from four gives six combinations.
| Pair | How easy to miss |
|---|---|
| soprano – bass | prominent, easy to notice |
| soprano – alto | easy to notice |
| soprano – tenor | far apart, easy to miss |
| alto – tenor | very easy to miss |
| alto – bass | easy to miss |
| tenor – bass | easy to miss |
Parallels between inner voices are inconspicuous on the page and less obtrusive to the ear than outer-voice parallels. The rule treats them identically. Since there are too many pairs to track reliably by hand, this unit hands the job to the checker.
Check
Is checking soprano and bass sufficient to rule out parallel octaves?
Contrary motion is treated differently
Two voices can move in opposite directions and still arrive at another perfect fifth. That is called consecutive fifths by contrary motion.
It is treated far less strictly than parallel fifths, because moving in opposite directions preserves the independence of the voices. Consecutive perfect consonances are still consecutive perfect consonances, so it is avoided where convenient.
The point is that prohibitions come in degrees of severity. Same direction is forbidden; opposite direction is a caution.
Hidden fifths and octaves
Separate from parallels, there is a motion called hidden (or direct) fifths and octaves.
Two conditions:
- the outer voices move in the same direction into a perfect 5th (or octave)
- and the soprano arrives by leap
The preceding interval does not have to be a fifth. The problem is that the arrival is conspicuous. A soprano sliding in by step goes unnoticed; a soprano landing by leap puts the perfect consonance in the spotlight.
This is treated as motion to watch rather than as a prohibition. It arises most often at cadences where the soprano leaps to the tonic, which is worth keeping in mind.
Voice crossing and overlap
Other rules protect voice independence too.
Voice crossing means an upper voice going below a lower one. If the alto drops beneath the tenor, a listener loses track of which line is which.
Voice overlap means a voice moving past the position a neighboring voice occupied immediately before. Nothing is crossed at any single moment, but in terms of motion one voice has overtaken the other. This is milder than crossing and is treated as a caution.
Watch for augmented intervals in minor
One last prohibition, this one on the melodic side.
The rule is do not move a melody by an augmented interval of a 2nd or larger. Minor keys are where it bites.
The qualifier “of a 2nd or larger” is deliberate. An augmented unison — a chromatic half step keeping the same letter, like A♭ to A — is outside this rule. What makes an augmented interval awkward to sing is leaping unnaturally wide across a short distance, whereas sliding a half step to the adjacent pitch is if anything smooth. In the chromatic harmony of Unit 8, that augmented unison becomes a basic move.
The C harmonic minor scale is C, D, E♭, F, G, A♭, B. The sixth degree A♭ and the leading tone B are adjacent, and the interval between them is an augmented 2nd.
Augmented 2nds are hard to sing and classical style avoids them. The remedy is fixed: lead the sixth degree down and the leading tone up. A♭ falls to G and B rises to C. Move them outward in opposite directions and the augmented 2nd never appears.
Check
Moving a melody from A♭ to B in C minor produces what interval?
Write with the checker running
Listed all at once these rules are a lot to hold. Being corrected while actually writing makes them stick considerably faster.
Look at a parallel-fifths example in the checker Load the parallel fifths example and play it, then change only the tenor note and watch the moment the warning disappears. Experiencing it vanish sticks far better than memorizing the rule SATB Part-Writing Checker →The next lesson covers the procedure for connecting chords while avoiding these prohibitions — writing so that they never arise, rather than hunting for them afterward.
Exercises
Every answer here is cross-checked against the theory engine. Work them out before you grade.
- 1
How many pairs of voices must be checked for parallel fifths and octaves in a four-part texture?
- 2
Checking a progression from V (soprano G4, alto B3, tenor D3, bass G2) to I (soprano E4, alto C4, tenor G3, bass C3), how many errors are reported? Answer with a number.
- 3
Changing the I of the previous question to soprano G4, alto C4, tenor E3, bass C3, how many errors are reported now? Answer with a number.
- 4
What motion constitutes hidden (or direct) fifths?
- 5
What is the interval from A♭ up to B?
Before you move on
Check that you can explain each point above in your own words.