Main Body

32 Secondary diminished chords

Learning goals for Chapter 32

In this chapter, we will learn:

  • How to spell
  • How to identify secondary diminished chords in context

Secondary diminished chords

Just as tonicize any non-tonic major or minor triad, so do , which are built on the of the tonicized key. Like secondary dominants, secondary diminished chords can be triads or seventh chords, and they may appear in any inversion.

Some common secondary diminished chords are shown in the progressions in Example 32‑1 and Example 32‑2. After listening to each example, provide a Roman numeral analysis. The first four chords are completed for you in Example 32‑1.

Spelling secondary diminished chords

Follow these steps for success in spelling secondary diminished chords:

Step 1. Identify the root of the chord that is to be tonicized.

Step 2. For a moment, disregard the tonic key.

Step 3. Identify the leading tone of the temporarily tonicized key identified in step 1. It may be helpful to remember that the secondary leading tone is always a diatonic half step below the temporary tonic. This is the of the secondary diminished chord.

Step 4. Given the root identified in step 3, spell a diminished chord, which will be a triad or seventh depending on the specified quality.

Step 5. Consider the overall tonic key once again, adding accidentals as needed, when spelling the chord rendered in step 4. If the chord is inverted, be sure to put the proper chord tone in the bass.

Figure 32-1 illustrates how to work through the process of spelling the viio7/ii in G major.

Figure 32‑1. Illustration of spelling a secondary diminished chord

Goal: to spell the viio7/ii in G major.

  • In G major, the root of the ii chord is A.
  • Temporarily disregard the key of G major.
  • The secondary leading tone of A is G\sharp.
  • Since a fully diminished seventh chord is specified, the chord is spelled entirely with minor thirds: G\sharp B D F\natural.

Spelling the chord in G major would look like this:

image of chord on staff in bass clef. Key signature is one sharp. Notes include G-sharp 2, B2, D3, F-natural 3

Video: T59 Secondary diminished chords (12:03)

This interactive video introduces the concept of secondary diminished chords, which are built on the secondary leading tone of the tonicized major or minor triad. We study two chord progressions, one in major and another in minor (Example 32‑1 and Example 32‑2), labeling each secondary chord and listening to how they sound in the context of each progression.

Secondary chords in context

Example 32‑3 features several secondary chords. The first, a secondary diminished seventh chord (B\sharp dim. 7), occurs in m. 5 and tonicizes the supertonic triad that follows in the next measure. A secondary dominant (B7) tonicizing the subdominant triad occurs in mm. 10 and 14. Both of these chords contain notes outside of the home key of B major.

Example 32‑3. Transcription of Beyoncé, “Pray You Catch Me,” 1:28–2:08

image of score with lead sheet symbols, melody with key signature of five sharps, and Roman numerals labeled beneath staff

Listen to the full track on Spotify.

Learn about Beyoncé (b. 1981) by reading this Oxford Music Online article, written by Mark Anthony Neal.

Similarly, Example 32‑4 features many compelling secondary chords. In mm. 1 and 9, a secondary dominant tonicizes the submediant triad. In mm. 2 and 10, a secondary dominant tonicizes the subdominant chord. In m. 7, a secondary dominant tonicizes the dominant triad. Secondary diminished triads built on scale degree \sharp[latex]\hat{4}[/latex] (fi) in mm. 12 and 14 tonicize dominant function, as each resolves to a . And in m. 13, a secondary diminished chord tonicizes the submediant chord.

Example 32‑4. Transcription of Nina Simone singing Billy Taylor, “I Wish I Knew How It Would Feel to Be Free,” 0:32–1:04

lead sheet in B-flat major. Roman numerals labeled beneath staff

Listen to the full track on Spotify.

Learn about American singer, pianist, and activist Nina Simone (1933–2003) by reading this Oxford Music Online article, written by Mark Anthony Neal.

Learn about American jazz pianist and composer Billy Taylor (1921–2010) by reading this Oxford Music Online article, written by Bill Bennett.

EXERCISE 32-1 Spelling secondary chords

Spell the secondary dominants and diminished chords below. For each problem, provide the key signature of the tonic key and spell the chord using accidentals as needed.

SET 1

image of blank staff with treble clef. Symbols beneath staff read A major: seven-fully-diminished-seven of five; F minor: seven-fully-diminished-seven of three; D minor: five-seven of four; E-flat major: seven-fully-diminished-seven of two; G major: seven-diminished-six of five

SET 2

image of blank staff with bass clef. Symbols beneath staff read C minor: seven-fully-diminished-seven of uppercase seven; F major: five-seven of six; D major: seven-diminished-six of six; E minor: five-seven of five; A-flat major: seven-diminished-six of four

SET 3

image of blank staff with treble clef. Symbols beneath staff read D-flat major: five-seven of three; B minor: seven-fully-diminished-seven of five; C major: seven-fully-diminished-seven of six; F-sharp minor: seven-diminished-six of six; B-flat major: seven-diminished-six of two

Access a printer-friendly .pdf of the exercise here: Ex32.1 Spelling secondary chords

EXERCISE 32-2 Analysis with secondary chords

PART A. After studying and listening to Worksheet example 32‑1, identify the key, provide a Roman numeral analysis, and circle and label by type all and . Then create a form (bubble) diagram showing measure numbers, cadences, and phrase labels with lowercase letters, and answer the question that follows. To review how to create a form (bubble) diagram, see Chapter 19.

Worksheet example 32‑1. Ludwig van Beethoven, Sonatina no. 37 in G major, mvt. 2, mm. 1–8

image of score with blanks beneath staff for key and Roman numerals

Listen to the full track, performed by pianist Jenö Jandó, on Spotify.

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

Question: What two-word phrase best describes the form of Worksheet example 32‑1, and why?

PART B. After studying and listening to Worksheet example 32‑2, identify the key and provide a Roman numeral analysis. All non-chord tones are circled in this example. Label each by type. Finally, circle and label all by type.

Worksheet example 32‑2. Maria Wolowska Szymanowska, Nocturne, mm. 1–5

image of score with blanks for key and Roman numerals beneath staffimage of score with blanks for Roman numerals beneath staff

Listen to the full track, performed by pianist Nancy Fierro, on Spotify.

Learn about Polish pianist and composer Maria Wolowska Szymanowska (1789–1831) by reading this Oxford Music Online article, written by Zofia Chechlińska.

Access a printer-friendly .pdf of the exercise here: Ex32.2 Analysis with secondary chords
Listen to the audio examples featured in this exercise here: Secondary diminished chords playlist

Chromatic pitch patterns

Example 32‑5 shows the solfege syllables for all chromatic pitches, which we first encountered in Chapter 6. Enharmonically equivalent notes have different syllables depending on if the scale degree is raised or lowered. In general, raised chromatic notes use a “long e” /i/ vowel sound, and lowered chromatic notes use a “long a” /eI/ vowel sound (with the exception of “ra,” lowered scale degree \hat{2}, which we encountered in the scale).

Example 32‑5. Solfege syllables for all chromatic pitches

image of ascending C chromatic scale written in tenor clef, annotated with solfege syllables: do di re ri mi fa fi sol si la li ti do. Second system is image of descending C chromatic scale written in tenor clef: do ti te la le sol se fa mi me re ra do

Video: S32 Chromatic solfege syllables (3:10)

This interactive video introduces the movable-do syllables and hand signs for the chromatic scale, with the tonic of B\flat.

Practice singing, playing, and aurally identifying the pitch patterns that appear below in Figure 32‑2 (pitch patterns in major) and Figure 32‑3 (pitch patterns in minor) in various keys. In cases that may seem ambiguous, superscripts (1) indicate a pitch in the higher octave (above the previous note), while subscripts (1) indicate a pitch in the lower octave (below the previous note).

Figure 32‑2. Chromatic pitch patterns in major

chart listing pitch patterns in solfege

Access a screen-reader friendly .pdf of this figure here: Figure 32.2

Figure 32‑3. Chromatic pitch patterns in minor

chart listing pitch patterns in solfege

Access a screen-reader friendly .pdf of this figure here: Figure 32.3

Self-quiz on solfege thinking problems

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