midicnTheory 中文

Modulation is moving the tonal centre. Its difference from tonicization is not the technique but duration and depth:

TonicizationModulation
How long it lastsa few chordsa whole passage
Does it establish a new centre?borrows one, then returnsyes, it establishes one
Effecta change of coloura change of structure

Close and distant keys

The distance between keys is measured most clearly on the circle of fifths:

RelationKey signature differenceShared notesDifficulty
closeone sharp or flat apartsix notes in commonsmooth
moderately distanttwo or three apartfour or five in commonneeds preparation
distantfurther apartfewneeds a pivot or an enharmonic device

The reason close keys are smooth is plain: they share many notes, so no accidentals are needed to move across. "Relative major and minor" (C major and A minor) are the closest relation of all — they share one signature.

Three common devices

One: common chord (smoothest). Use a chord that exists in both keys as a bridge: first hear it as a degree of the old key, then reinterpret it as a degree of the new one.

Two: secondary dominant. Place a dominant chord of the target key in front of it, announcing the new centre (see secondary dominant).

Three: enharmonic reinterpretation (most abrupt). The same note or chord, respelled, belongs to another key — symmetrical structures such as the diminished seventh or augmented triad turn with a change of interpretation (see enharmonic).

What modulation does structurally

Modulation is not merely "changing key"; it is the main way form is divided:

In other words: the tonal plan is the map of the structure.

Diagram: distances on the circle

Starting from C: close keys are one step away, distant ones several CGD AEB … close: one signature apart moderately distant: two or three distant: needs a pivot Close keys are smooth for a plain reason: they share many notes, so no accidentals are needed Relative major and minor (C major with A minor) share one signature — the closest relation there is

Listen: two kinds of transition

Use the circle-of-fifths component to click neighbouring and non-neighbouring keys, comparing "one step away" with "the long way round".

Common misconceptions

Listen in the library

Danse Macabre, S.555C110:20Liszt's transcription of Danse macabre — chromatic harmony keeps the key drifting, a concentration of distant modulationsDetailsSonata in A Minor, K.175C13:50A sonata in A minor — internal modulations separate the sections; hear the centre moved away and backDetails12 Variations on Ah vous dirai-je maman K.265/300eC17:31Mozart's Ah vous variations — the key changes between variations, showing one theme in different keysDetails

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

Sources

  • 转调指调性中心的转移;近关系调为相差一个升降号的调,属和声学通则
  • 共同和弦、副属和弦、等音重解是常用转调手段,为通行和声学表述

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