midicnTheory 中文

Cantus firmus (often abbreviated c.f.) is one instruction: start with a given melody, then write the other voices around it.

It deserves its own entry because it halves the difficulty of polyphonic writing:

What is removedWhat is gained
no need to invent every voice at onceyou can focus on one note of one line at a time
the frame is already fixedvertical relations have a definite reference

That is why all five species are built on a cantus firmus (see first species): it separates composing from handling — you need only decide how to write around it, not what it should be.

Its two historical identities

IdentityExplanation
compositional devicethe medieval and Renaissance cantus-firmus Mass: a whole Mass built on one chant melody, each movement using it (or a transformation of it)
training toolthe given melody in counterpoint exercises — still today

The second survives in the classroom; the first left behind an important idea: an existing melody can serve as the foundation of an entire work. That idea later grew into variation form, ground bass and the whole family of "fixed material" writing.

Where the cantus firmus may sit

Early practice placed it in the lowest voice (the word "tenor" literally means "holder"). Later writing freed it to any position:

PositionEffect
bassmost traditional; the harmonic frame is clearest
topthe cantus becomes the melodic protagonist and the others accompany
inner voicethe most concealed use — the cantus becomes a hidden thread

The last is worth noting: a cantus concealed in an inner voice is aimed at listeners who know the inside story — such hidden structures abound in Renaissance and Baroque music.

How it differs from a ground bass (easily confused)

Cantus firmusGround bass
What is fixeda melody (short or long, in any voice)a bass line (usually short, repeating)
Does it repeat?not necessarilyyes, in a loop
The other voicesusually set once per notea new variation written for each cycle

In one line: a cantus firmus is a foundation; a ground bass is a foundation on repeat.

Diagram: one line fixed, the rest growing around it

The cantus firmus (dark) does not change; the other voices are set around it note by note GFE DC cantus firmus: given, unchanged B♭AA♭ FE DCC AG The upper and lower voices are set note by note — the frame is fixed, only the writing remains This is how the need to invent all voices at once is removed Unlike a ground bass: a cantus firmus need not repeat, a ground bass always does

Listen: writing over a fixed frame

Use progression on a functional progression and imagine the position of "the frame is given": bass and harmony are fixed; what you decide is the writing above. That is precisely the situation cantus-firmus training creates.

Common misconceptions

Listen in the library

27. Greensleeves to a Ground with DivisionC10:24Greensleeves to a Ground — one unchanging line runs through the piece while everything else grows around itDetailsSound Ye the Trumpet CallC10:35An organ hymn — the melody usually comes from a chant tune, harmonised note by note, the same lineage as cantus firmus writingDetailsInvention 1C11:03Bach's first two-part invention — one subject runs through the piece and is continually imitated, showing how fixed material organises a whole workDetails

All tracks from midicn-lib — inline badge is the license tier (C1 commercial / C2 non-commercial / C3 study only).

Sources

  • 固定旋律指预先给定、作为写作骨架的旋律;中世纪以来用于定旋律弥撒与对位训练,为音乐史与对位学通行记载
  • 固定旋律在各声部间的位置可移动(低音 / 上方 / 内声部),为通行表述

Used for fact-checking only; all prose is original.