midicnTheory 中文

Variation form has the simplest structure and is the most easily misunderstood:

A A₁ A₂ A₃ … — the same theme returns again and again, each time in new clothing.

The fundamental difference from thematic development

These two are most easily confused (thematic development covered it from the other side):

VariationDevelopment
The theme's contouralways recognisableoften broken
The theme's completenesspreservedtaken apart
What changesthe surface (rhythm, texture, harmony, ornament)the inner structure
In one wordnew clothesnew genes

The test: can the listener always recognise "this is the same theme"? Yes means variation; if it becomes unrecognisable midway, it has developed into something else — or the theme has simply been replaced.

Common means of variation

MeansMethodExample
ornamentalmelody embroidered, harmonic frame intactcommonest in the Classical period
rhythmicpitches kept, the rhythmic pattern replacedone contour turns into a march or a dance
reharmonisationmelody nearly intact, harmony replacedone phrase turns bright or dark
modal / key changemajor to minor (or the reverse), or into another keythe character reverses at once
texturalfrom a single line to thick chords, or the reversea density device
character variationonly one feature of the theme retained (an interval, a rhythm)Romantic: varied nearly beyond recognition

The last row is the extreme case: when only one feature survives, the variation is close to development. Which shows the two are not different things but the ends of one continuum.

Three historical shapes

PeriodShapeExplanation
Baroqueground-bass variationthe bass loops unchanged while everything above is newly written (see [[concept:pedal-point
Classicalornamental variationthe theme's contour stays clear, each section adds more ornament; the last often changes key or speeds up
Romanticcharacter variationthe variations differ wildly in character, often beyond recognition

The first is the strictest (the frame never moves), the third the freest (only the genes survive) — and that evolution is itself evidence of composing freedom widening over time.

The difficulty of writing variations

It is not "thinking up new tricks" but this: changing the surface while keeping the theme recognisable.

Common failureCause
the variations sound aliketoo little changed, so the listener hears no variation
two variations in and it is gonetoo much changed, the theme's identity washed out
the set lies flatno overall plan between variations (say, gradually faster or thicker)

The third matters most: a good set usually has an arc — commonly growing more complex, faster and thicker, with the last variation returning to the simplest, or the reverse. Without an arc, a set of variations is a pile of parallel sections.

Diagram: a constant frame under a changing surface

The frame below stays visible; the surface is re-dressed each time — that is all a variation is surface frame A A1 ornamented A2 new rhythm A3 new mode same framesame frame same framesame frame The difficulty is not new tricks but keeping the theme recognisable while the surface changes A good set needs an arc — without one it is a pile of parallel sections Variation and development are two ends of one continuum: from new clothes to new genes

Listen: a frame and its presentations

Use chord to hear one chord in three forms (root position, first inversion, open voicing) — the notes are unchanged, the presentation is not. That is variation at its smallest scale: the same frame, differently presented.

Common misconceptions

Listen in the library

Goldberg Variations, BWV 988: Var. 12 Canone alla QuartaC12:00Bach's Goldberg Variation 12 — the bass theme supplies a constant frame on which each variation is dressed anewDetails27. Greensleeves to a Ground with DivisionC10:24Greensleeves to a Ground — the bass loops unchanged while everything above is newly writtenDetailsGrieg: Lyric Pieces, Book 2, Op. 38: No. 8, CanonC15:00Grieg's Lyric Pieces include variation passages showing an unchanged frame under a wholly changed surfaceDetails

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

Sources

  • 变奏曲式的定义(主题轮廓不变、表面不断更换)与常见变奏手段,属曲式分析通则
  • 固定低音变奏(basso ostinato)与性格变奏的区别,为通行表述

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