midicnTheory 中文

Everything said about scales so far concerned melody: a scale is a selection of pitches. This entry covers the other half: a scale also decides the harmony.

One step is all it takes: stack thirds above each note of the scale (take every other note) and a set of chords appears.

The seven triads on a major scale

Degree1234567
Qualitymajorminorminormajormajorminordiminished
RomanIiiiiiIVVvivii°

This table is the complete inventory of diatonic chords, and it accounts for almost every basic conclusion in harmony:

None of this is a rule imposed from outside; all of it follows from the scale's structure. Change the structure and the chord sequence changes with it — which is why each mode has its own harmonic colour.

Change the scale, change the whole chord set

ScaleChord on degree 1Character
majormajorstable, bright
natural minorminordark, and its dominant is minor → weak pull (hence harmonic minor)
[[concept:dorianDorian]]minor

In other words: saying how a mode sounds is half saying which chords can grow on it.

Diagram: stacking thirds

Take every other note of the scale and a chord appears CDE FGA BC I: C–E–G, major ii: D–F–A, minor V: the dominant Stacking thirds on all seven degrees gives major / minor / minor / major / major / minor / diminished Switch to minor, Dorian or any other scale and the whole table changes — that is a mode's colour Chord construction and inversion belong to the chord entries; function and progressions to harmony

Listen: an arpeggio is a scale stood on end

An arpeggio plays three notes of the scale in turn — think of it as tipping the scale upright. It is the shortest path connecting melodic material to harmonic material.

Common misconceptions

Listen in the library

Scales, Arpeggios, and CadencesC13:22Scale and arpeggio exercises — an arpeggio is literally stacking thirds on a scale, the direct origin of diatonic chordsDetailsOde to JoyC10:37The Ode to Joy theme — both the melody and the harmony it naturally attracts come from the same scaleDetails12 Variations on Ah vous dirai-je maman K.265/300eC17:31The Ah vous variations change harmony constantly, yet every chord stays inside that one scaleDetails

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

Sources

  • 在音阶各音上叠三度即得调内三和弦(大调为 大三/小三/小三/大三/大三/小三/减三),属和声学通则
  • 调式各音上叠三度所得和弦序列不同,为调式和声学的通行表述

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