Main Body

42 Augmented sixth chords

Learning goals for Chapter 42

In this chapter, we will learn:

  • The properties of
  • How to spell augmented sixth chords
  • Best practices for voice leading augmented sixth chords
  • How augmented sixth chords function in musical contexts

Augmented sixth chords

Like the chord, (+6 chords) are striking predominant chords. Augmented sixth chords result from chromatic voice leading and intensify the approach to the dominant by using linear half-step motion. Because of their linear nature, augmented sixth chords have no root or true inversional properties, in contrast to other chords we have studied. In this chapter, we will approach their function and labeling from a linear perspective.

There are three varieties of augmented sixth chords: the Italian, the German, and the French. All three feature scale degrees \flat\hat{6} (“le”), \hat{1} (“do”), and \sharp\hat{4} (“fi”). The interval of an augmented sixth is formed between \flat\hat{6} (“le”) and \sharp\hat{4} (“fi”), hence the name of the chord. In minor keys, \flat\hat{6} (“le”) is already lowered, but in major keys the submediant needs to be lowered by one half step.

The is the simplest of the three types, containing only the three scale degrees described above—\flat\hat{6} (“le”), \hat{1} (“do”), and \sharp\hat{4} (“fi”)—and it sounds like an incomplete major-minor seventh chord. Example 42-1 summarizes the properties, function, and voice leading of the Italian +6.

Video: T77 +6 video 1: The basics

This video introduces the idea of the chord in relation to its enharmonic equivalent, the incomplete V7.

The contains four scale degrees—\flat\hat{6} (“le”), \hat{1} (“do”), \flat\hat{3} (“me”) and \sharp\hat{4} (“fi”)—and sounds similar to a complete major-minor seventh chord. When spelling the Ger.+6 in minor keys, \flat\hat{6} (“le”) and \flat\hat{3} (“me”) are already in their lowered forms. In major keys, you must lower scale degrees \hat{6} (“la” becomes “le”) and \hat{3} (“mi” becomes “me”) by a chromatic half step in order to spell the lowered versions of these scale degrees correctly. Example 42-2 summarizes the properties, function, and voice leading of the German +6.

Sometimes the Ger.+6 is spelled with \sharp\hat{2} (“ri”) instead of \flat\hat{3} (“me”) when it precedes a chord. This is because \sharp\hat{2} (“ri”) acts like a chromatic tendency tone to \hat{3} (“mi”), as \sharp\hat{4} (“fi”) is a secondary leading tone to \hat{5} (“sol”).

German augmented sixth chords and complete major-minor seventh chords are like homophones in English—they sound the same, but are spelled differently (just like “sail” and “sale,” for example).  In music, this phenomenon is called . Augmented sixth chords and major-minor seventh chords also have different functions in musical phrases: the former are predominant chords, whereas the latter function dominantly.

The uses \flat\hat{6} (“le”), \hat{1} (“do”), \hat{2} (“re”), and \sharp\hat{4} (“fi”), a subset of the . Unlike the It.+6 and Ger.+6, the French +6 is not enharmonically equivalent to a major-minor seventh chord. Like with both the It.+6 and Ger.+6, in minor keys, \flat\hat{6} (“le”) is already in its lowered form, and in major keys, you must lower it by a chromatic half step in order to spell \flat\hat{6} (“le”). Example 42-3 summarizes the properties, function, and voice leading of the French +6.

Video: T78 +6 video 2: The three types

This video demonstrates how to spell each of the three types of and shows a brief progression of their use in C major.

EXERCISE 42-1 Spelling +6 chords

On a separate sheet of staff paper, provide key signatures for each problem and spell the augmented sixth chord. Remember that in minor keys, the only chromatic note is scale degree \sharp\hat{4} (“fi”). In major keys, scale degrees \hat{6} and \hat{3} must be lowered by a half step, in addition to raising scale degree \hat{4}.

Access a printer-friendly .pdf of the exercise here: Ex42.1 Spelling +6 chords
Want more practice spelling augmented sixth chords? Try this drill: Augmented sixth chords construction (teoria)

Augmented sixth chords in context

The first movement of Beethoven’s famous Fifth Symphony features an exciting appearance by the Italian augmented sixth. Study and listen to Example 42-4, which presents an excerpt from the beginning of the movement. The Italian augmented sixth chord occurs in the second system, preceding the dominant in the key of C minor.

Example 42‑4. Ludwig van Beethoven, Symphony no. 5, mvt. 1, mm. 1–21

image of score

image of score with annotations

Listen to the full track, performed by the Vienna Philharmonic Orchestra conducted by Wilhelm Furtwängler, on Spotify.

Learn about German composer Ludwig van Beethoven (1770–1827) by reading this Oxford Music Online article, written by Joseph Kerman and others.

Access a slideshow with the content from this chapter here: Augmented sixth chords slides

EXERCISE 42-2 Analysis with augmented sixth chords

After studying the score and listening to Worksheet example 42‑1, complete the tasks and answer the questions below. If you’re stuck, the video following the exercise may help you get started.

  1. Identify the overall key.
  2. The augmented sixth appears twice. In which measures does it appear?
  3. Which kind of augmented sixth is used? Select one:       It.+6     Ger.+6    Fr.+6
  4. Provide the most logical Roman numeral labels for the following measures:
    m. 11 _____
    m. 12 _____
    m. 13 _____
    m. 14 _____
    m. 37 _____
    m. 38 _____
  5. A unfolds in mm. 11–14. What is the root motion pattern involved in this sequence?
  6. Provide a lead-sheet (chord) symbol for the chord in m. 10.
  7. Provide a lead-sheet (chord) symbol for the chord in m. 11.
  8. What term (two words) best describes the relationship between the chords in m. 10 and m. 11?
  9. What key area is implied in mm. 1–10?
  10. What (temporary key area) is implied in mm. 19–22?
  11. What term (two words) best describes the relationship between the key areas in mm. 1–10 and mm. 19–22?
  12. In several sentences, describe two uses of in this song.

Worksheet example 42‑1. Ludwig van Beethoven, op. 48, no. 4, “Die Ehre Gottes aus der Natur”

image of score

Listen to a recording of the song, performed by Matthias Goerne, on Spotify.

Read an English translation of the song text, by Emily Ezust, on lieder.net.

Learn about German composer Ludwig van Beethoven (1770–1827) by reading this Oxford Music Online article, written by Joseph Kerman and others.

Access a printer-friendly .pdf of the exercise here: Ex42.2 Analysis with augmented sixth chords

Video: T79 +6 video 3: analysis (3:41)

This video illustrates Beethoven’s use of the It. +6 in op. 48, no. 4, “Die Ehre Gottes aus der Natur” (Worksheet example 42-1). If you are stuck with Exercise 42-2, this video may help you get started.

Aural identification of augmented sixth chords

Now that we have learned many different types of chromatic predominantly functioning chords, developing the ability to discern these by ear will help us further solidify our understanding of each and enhance our musicianship skills. The exercises that follow will help you develop skills to identify augmented sixth chords and other predominant chords we’ve studied.

EXERCISE 42-3 Contextual listening with augmented sixth chords

First, access the playlist here: Spotify playlist for augmented sixth chords

Choose a track, and play a portion of it. Pause the recording or sing over it, and find tonic (“do”) with your voice or an instrument. Sing scalar patterns to find “fi” (a tritone away from “do”) and “le” (\flat\hat{6}). Continue listening to see if you can identify where the augmented sixth chord takes place, as it will feature these prominent scale degrees. If you get stuck, look up the track timing on the answer key and listen again to the excerpt, cued up to the appropriate spot. The playlist also contains some of the pieces we have already studied in this chapter. It may be helpful to review those first before trying new examples.

Once you have found the augmented sixth chord, check your answer with the key here: Answers to EXERCISE 42.3 Contextual listening with augmented sixth chords

Access a printer-friendly .pdf of the exercise here: Ex42.3 Contextual listening with augmented sixth chords

EXERCISE 42-4 Aural ID of predominant chords

In this exercise, you will hear a set of progressions, each containing five chords. Each progression features tonic, predominant, cadential six-four, five, tonic in succession. Your task is to identify the mode of each example (major or minor) and the best label for the second chord, which will be one of the predominant functioning chords we have studied. In major keys, the choices will include IV, ii{}^6_5, V{}^6_5/V, N6, Ger.+6, and Fr.+6. In minor keys, the choices will include iv, iiø{}^6_5, V{}^6_5/V, N6, Ger.+6, and Fr.+6. Each progression will be played twice.

After you’ve completed a set, you can check your answers here: Answers to EXERCISE 42.4 Aural ID of predominant chords.

Set 1

Set 2

Set 3

Set 4

Set 5

Set 6

Access a printer-friendly .pdf of the exercise here: Ex42.4 Aural ID of predominant chords

EXERCISE 42-5 Harmonic dictation with chromatic predominant chords

For this exercise, play the recording of each dictation up to four times. Your tasks are to notate the bass and soprano voices on staff paper, provide Roman numeral labels beneath the staff, and identify the cadence type at the end of the progression. Each progression will feature at least one chromatic chord we have studied.

Progression 1

 

Progression 2

 

Progression 3

 

Progression 4

 

Progression 5

Access a printer-friendly .pdf of the exercise here: Ex42.5 Harmonic dictation with chromatic predominant chords

EXERCISE 42-6 Contextual listening and transcription with +6

Listen to the excerpt. On a separate sheet of staff paper using the format below, notate the outer voices you hear, provide a Roman numeral analysis, label the cadence, and answer the questions that follow.

image of Grand staff, no key signature, 3/4. Quarter note pickup in inner voice as G3. Eight bars, with ending repeat sign. First complete measure has C4 in treble clef, G3 in smaller typeface, and in bass clef C3. Beneath staff C major, with eight blanks for Roman numerals. In upper right, blank for cadence label.

  1. In a sentence or two, describe the voice leading in this example.
  2. Who is a likely composer of this piece?
  3. When was this piece written, most likely?

Want more of a challenge? Notate all four parts on the staves below. Add dynamics and bowing articulations as well.

Set of four staves, eight full bars with quarter note pickup and ending repeat sign. First staff labeled Violin 1. Treble clef, 3/4. Quarter note pickup G3, bar line, C4 as dotted quarter note. Remaining seven measures are blank. Second staff labeled Violin 2. Treble clef, 3/4. Quarter rest, bar line, G3 as dotted quarter note. Remaining seven measures are blank. Third staff labeled Viola. Alto clef, 3/4. Quarter rest, bar line, E3 as dotted quarter note. Remaining seven measures are blank. Fourth staff labeled Cello. Bass clef, 3/4. Quarter rest, bar line, C3 as dotted quarter note. Remaining seven measures are blank.

Access a printer-friendly .pdf of the exercise here: Ex42.6 Contextual listening and transcription with +6

Voice leading with augmented sixth chords

Video: T80 +6 video 4: Voice leading (4:41)

This video demonstrates the basic voice leading connections between each augmented sixth chord and V. Spoiler alert: The doesn’t go immediately to V, but instead goes to the first. Watch the video or continue reading to find out why.

The principles of resolving augmented sixth chords are fairly straightforward. First, resolve the interval of the augmented sixth outward to an octave. To do this:

  • The bass (\flat\hat{6} or “le”) resolves down by step to scale degree \hat{5} (“sol”)
  • The voice containing \sharp\hat{4} (“fi”) resolves up by step to scale degree \hat{5} (“sol”)

The voice that contains tonic (“do”) should move by step to the leading tone (“ti”). If the augmented sixth chord moves to a prior to resolving to the dominant chord, this voice will stay on tonic until it moves to the dominant chord. If there is more than one voice on scale degree \hat{1} (“do”), as in the chord in a four-voice texture, move one voice from scale degree \hat{1} (“do”) by step to \hat{7} (“ti”) and the other from scale degree \hat{1} (“do”) to \hat{2} (“re”).

The voice containing scale degree \hat{2} (“re”) in a chord will stay on scale degree \hat{2} when connecting to the dominant chord.

In general, chords will pass through a cadential six-four before moving to the dominant in order to avoid pesky parallel fifths. In minor keys, this means that the voice containing scale degree \hat{3} (“me”) will stay on \hat{3} (“me”) before resolving down to scale degree \hat{2} (“re”). In major keys, we sometimes see an enharmonic spelling of the German augmented sixth chord, using \sharp\hat{2} (“ri”) instead of \flat\hat{3} (“me”). Regardless of the spelling, this voice will move to scale degree \hat{3} (“mi”) for the cadential six-four before moving down by step to scale degree \hat{2} (“re”) as the fifth of the dominant chord.

Access a slideshow with the content from this chapter here: Augmented sixth chords slides

EXERCISE 42-7 Voice leading with +6 chords

Given the Roman numerals, complete each passage for four voices () following the guidelines for part writing we have studied.

(1)

Grand staff, one sharp, 4/4. First chord G2, B3, G4, D5. Beneath staff in G major: one, Italian augmented sixth, five, one.

(2)

Grand staff, two sharps, 3/2. First chord B2, B3, F-sharp 4, D5. Beneath staff in B minor: one, French augmented sixth, five, one.

(3)

Grand staff, one flat, 4/2. First chord D3, A3, D4, F4. Beneath staff in D minor: one, German augmented sixth, cadential six-four, five, one.

Access a printer-friendly .pdf of the exercise here: Ex42.7 Voice leading with +6

Additional analysis

EXERCISE 42-8 Analysis with N6 and +6 chords

PART 1. Study and listen to the following excerpt, and complete a Roman numeral analysis on the blanks beneath the staff. Circle all non-chord tones that appear in the melody. Be on the lookout for all of our favorite chromatic friends—secondary dominants, borrowed chords, Neapolitan sixths, and augmented sixth chords. Then answer the questions below.

  1. What do the four chords in mm. 44–45 all have in common?
  2. Describe how Schubert uses in this example.

Worksheet example 42‑2. Franz Schubert, Impromptu in G\textcolor{white}\flat major, op. 90, no. 3, mm. 43–52

image of score with blanks beneath staff for Roman numerals in E-flat minor

Listen to the full track, performed by Alfred Brendel, on Spotify.

Learn about Austrian composer Franz Schubert (1797–1828) by reading this Oxford Music Online article, written by Maurice J. E. Brown and others.

PART 2. Study and listen to the following excerpt from the same piece, and complete a Roman numeral analysis on the blanks beneath the staff. Circle all non-chord tones that appear in the melody. Then answer the questions below.

  1. Describe how Schubert uses in this example.
  2. Consider the voice leading of the second chord in m. 76. Does this chord resolve in the way you expect it to? If so, what aspects of the voice leading conform to your expectations? If not, why not?

Worksheet example 42‑3. Franz Schubert, Impromptu in G\textcolor{white}\flat major, op. 90, no. 3, mm. 74–78

image of score with blanks beneath staff for Roman numerals in G-flat major

Listen to the full track, performed by Alfred Brendel, on Spotify.

Learn about Austrian composer Franz Schubert (1797–1828) by reading this Oxford Music Online article, written by Maurice J. E. Brown and others.

Access a printer-friendly .pdf of the exercise here: Ex42.8 Analysis with N6 and +6 chords

License

Icon for the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

Multimodal Musicianship Copyright © 2024 by Victoria Malawey is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

Share This Book