Rhythm

How to Write Longer Chord Progressions

In the last music theory lesson we learned about chord substitution and chord classes. Here’s a quick review:

Chord Substitution

There are three primary triads: Tonic (I), Subdominant (IV), and Dominant (V).

You can use the rest of the chords of a key (ii, iii, vi, vii) instead of one of the primary triads:

  • vi is a good substitute for I
  • ii is a good substitute for IV
  • iii and vii° are good substitutes for V, but you have to be careful with those or your progression won’t sound right.

Chord Class Review

  • Because vi can be used instead of I, we say both chords (I and vi) belong to the Tonic Chord Class.
  • Because ii can be used instead of IV, we say both chords (IV and ii) belong to the Subdominant Chord Class.
  • Because iii and vii° can be used instead of V, we say all three chords (V, vii, iii) belong to the Dominant Chord Class.

Music Theory Primary and Secondary Triads

  • Remember that the primary triads and their secondary counterparts are a third apart and have two notes in common.
  • We’ll use the abbreviations T, S and D to refer to the chord classes.
  • See the previous music theory lesson for progression examples using substitutions.

Making Chord Progressions Longer (Chord Prolongation)

Tonic Prolongation

A good way to make a chord progression longer, and to ensure that it sounds good, is to use both chords from the tonic and subdominant chord class, one after the other. For the best progression always start with the primary triad, then move to the secondary triad. In other words, descending thirds (e.g., I-vi) usually sound better than ascending thirds (e.g., vi-I):

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Music Theory Chord Progression 1

The chord progression above is the basic I-IV-V-I progression, but the first tonic chord moves to the vi before going to the IV, thus prolonging the tonic chord class. We call this tonic prolongation. This progression is very common in classical and popular music, especially popular music from the 1950s. A classic example is Those Magic Changes from the musical Grease.

Subdominant Prolongation

We can make the I-IV-V-I progression even longer by moving to the ii chord after the IV chord:

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Music Theory Chord Progression 2

You can download a pdf version of this progression written out in every major and minor key on the Harmonic Progressions page.

Harmonic Rhythm

Of course any chord progression can be made longer by holding the chord for a longer period of time. Harmonic Rhythm refers to how fast the harmony changes. For example, if chords change every quarter note, we say the harmonic rhythm is the quarter note.

As you learn to play and write chord progressions, it is important to be aware of the rhythmic tendencies of certain chords. In reality, it is impossible to separate rhythm and harmony. You may have noticed that the last progression above changes the rhythm of the last two chords (V – I).

  • The resolution to the tonic chord at the end of a progression usually sounds best if it ends on a strong beat.

If the V chord of the progression above were a quarter note, the tonic chord would fall on beat two, a weak beat. Again, don’t think of this as a rule, as much as a tendency. If your progression doesn’t sound right, and you’re not sure why, it may be a rhythm problem.

The TSDT Principle

The TSDT principle is a way of understanding harmonic tendencies. This principle, in one form or another, usually is introduced in formal harmony lessons as rules. From one music theory textbook to the next, the terminology and teaching methods vary, but the essential principle is the same:

  • Tonic Class Chords (I, vi) are free to move anywhere, that is, they may move to a subdominant class chord or a dominant class chord.
  • Subdominant Class Chords (IV, ii)
    • A IV chord is free to move to a dominant class chord, or back to a tonic class chord.
    • A ii chord tends to sound best when it moves to a dominant class chord, but not a tonic class chord.
  • Dominant Class Chords (V, vii°, iii) usually sound best when moving to a tonic class chord, not a subdominant class chord.

The following diagram summarizes the TSDT principle:

Music Theory Harmonic Progression Diagram

When we follow the TSDT principle all chord progressions (other than harmonic sequences) will follow one of these three patterns:

  1. T-D-T
  2. T-S-T (I-IV-I only)
  3. T-S-D-T

Retrogressions

We’ve already discussed the dominant chord’s strong tendency to move to the tonic. That’s why we call a V-IV a retrogression. It’s not wrong to have a retrogression. Music is art, not science. You can find retrogressions all over the place, whether it be Bach, Mozart, or the 12-bar blues! But it is important for you, as a music student, to understand harmonic tendencies, as stated in the TSDT principle.

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Rhythm and Meter: Irregular Beat Divisions and Complex Meters

Irregular Beat Division

In the previous music theory lessons on rhythm and meter, we learned about simple time (beat division by two) and compound time (beat division by three). In actual music, a simple meter can have beat division in three parts, and in compound meter, beat division in two parts. Additionally, there are any number of ways a beat may be divided. When a beat division occurs outside of the norm for a given time signature, we call it an irregular beat division.

A triplet is when a beat in simple time is divided into three parts:

Music Theory Triplet

A duplet is when a beat in compound time is divided into two parts:

Music Theory Duplet

When notating irregular beat divisions, such as triplets and duplets,

  • use the note value of the beat division until the number of notes of the irregular division equals the subdivision. Then use the value of that subdivision until you reach the next level of subdivision.

In the example below, the beat is the quarter note; it divides into two eighth notes. For the triplet, we use eighth notes. The first subdivision level is four 16th notes. So, for the quintuplet (5), sextuplet (6), and septuplet (7), we use the 16th note value until we reach the next subdivision level, the 32nd note:

Music Theory Irregular Beat Divisions - Simple Time

This principle works the same way in compound time:

Music Theory Irregular Beat Divisions - Compount TimeComplex Meters

Essentially any meter is possible to accommodate the needs of the composer or arranger. Complex meters, also referred to as asymmetrical meters, are meters that don’t fit the traditional designations we discussed previously. The most common complex meters are a combination of simple and compound time.

A meter with five beats per measure might be referred to as simple quintuple. But more often than not, music with a time signature where the top number is five, usually moves fast enough that we actually hear two beats per measure, one beat where the beat divides in two, another where the beat divides in three. We refer to this type of meter as complex duple. Two famous examples are the second movement of Tchaikovsky’s sixth symphony, and Mars from Holst’s The Planets. Both movements are in 5/4, but the beats are grouped differently. In the Tchaikovsky, the first beat is a half note, the second a dotted half note. The “2+3″ above the music is showing how each of the two beats is divided: the first in two, the second in three:

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Music Theory Example - Tchaikovsky Symphony, Movement 2

In Mars, Holst uses a 3+2 grouping of the beat division:

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Music Theory Example - Holst, The Planet, MarsA complex triple meter most often has a time signature where the top number is seven. This type of meter is a combination of simple and compound beat divisions, but there are three of them. The last movement of Prokofiev’s Piano Sonata No.7 in B flat is in 7/8. Each measure has three beats with a 2+3+2 grouping of beat divisions. I did not include the audio with this example, because you have to hear the whole movement to get the full effect of this incredible piece of music:

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