# 3 Sample exercises

Procedures for completing various exercises related to Lesson 8 follow.  Click on the exercise of your choice, or go through each, one after another. Try to complete each step of an exercise before checking the response.

• Analyze a 7th chord (root, quality and inversion)

• Analyze a 7th chord within a key (Roman numeral)

• Construct a 7th chord given the root, quality and inversion

• Construct a 7th chord given the key and Roman numeral

#### Procedure to analyze a 7th chord

Problem 1: Analyze the following chord by root, quality and inversion. 1. Rewrite the chord in close root position.
2. What is the letter name of this chord's root?

The root of this chord is D.

3. What is the quality of the triad formed by the root, 3rd and 5th?

4. What is the quality of the interval formed by the root and 7th?

D up to C is a m7. OR the quality of the interval formed by the 5th and 7th (A to C) is a m3.

5. What is the quality of this 7th chord?.

D – F# – A – C is a Mm7 chord. 6. What is the inversion of the original chord?

#### Procedure to analyze a 7th chord in a given key

Problem 2: Analyze the following chord using a Roman numeral and figured bass. 1. Rewrite the chord in close root position.
2. What is the letter name of this chord's root?
3. In the key of C# minor, what scale degree is that root?
4. What is the quality of this 7th chord?

A – C# – E – G# is a major 7th chord.  (C# and G# are part of the key signature.) 5. What is the inversion of the original chord?

6. Solution

Roman numeral VI is used because the root (A) is the 6th scale degree in the key of C# minor.
It is uppercase with superscript M because the chord is a M7 chord.
The figured bass symbol for second inversion is 43 . #### Procedure to construct a 7th chord given the root and figured bass

Problem 3: Construct the following 7th chord.  The given note is the root. 1. Add notes on the appropriate lines/spaces to construct the 7th chord.
2. What type of triad does the root, 3rd and 5th of a minor 7th chord create?

There is a minor triad on the bottom of a minor 7th chord.

4. What interval is formed by the root and 7th of a minor 7th chord?

The root to 7th of a minor 7th chord is a m7.

5. Add an accidental to the chordal 7th, if necessary?

6. Which member of the 7th chord (65 inversion) should be the lowest-sounding pitch?

65 inversion means that the 3rd of the chord should be the lowest-sounding pitch.

#### Procedure to construct a 7th chord given the key and Roman numeral

Problem 4: Construct the following 7th chord. 1. Write the key signature for B major.
2. Determine the root of the chord?

Roman numeral V tells us the root of the chord is the 5th scale degree.
The root of the chord will be F#. 4. '2' refers to which inversions of a 7th chord?

The ‘2’ tells us the chord will be in  3rd inversion.

5. What pitch will be the lowest-sounding pitch?

Because the chord is in 3rd inversion, the chordal 7th (E) will be the lowest-sounding pitch.

6. Which member of the 7th chord (65 inversion) should be the lowest-sounding pitch?

65 inversion means that the 3rd of the chord should be the lowest-sounding pitch.

7. Solution--rewrite the chord in the correct inversion.

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