Announcements

1
Announcements

• Quiz 3 Friday
• Triads / seventh chords spell and identify
• Mini-Homework 10 due Friday
• Do only the ODD problems
• Turn this one in to your AI
• Hearing 2 October 21-23
• Sign up with your AI this week!
• Project 1 due Monday, October 21
• Exam 2 Thursday, October 24

2
Figured Bass, Continued

• Triads can appear in three positions
• Root-position root of triad in bass
• First-inversion third of triad in bass
• Second-inversion fifth of triad in bass
• Figured bass indicates intervals above the bass
  note rather than the root of a triad

3
Figured Bass, Continued

• Inversions of a seventh chord
• Root-position root of seventh chord in the bass
• First-inversion third of seventh chord in the
  bass
• Second-inversion fifth of seventh chord in the
  bass
• Third-inversion seventh of seventh chord in the
  bass
• For this course we will only consider inversions
  of the V7 (dominant seventh) chord
• Figured bass works the same when dealing with
  inversions of a seventh chord it indicates
  intervals above the bass note rather than the
  root of the seventh chord

4
Figured Bass, Continued

• NOTE when the Dominant seventh chord is
  inverted, the seventh of the chord (in this case
  the pitch F) is written to the left of the root.

5
Figured Bass, Continued

• It is customary to abbreviate figured bass
  symbols for both triads and seventh chords
• Abbreviation usually involves implied intervals
  above a given bass note
• Abbreviated figured bass symbols are still
  notated in the same way small Arabic numerals to
  the right of the Roman numeral, one over the
  other, largest interval first

6
Figured Bass, Continued

• Abbreviated figured bass triads
• Root-position no inversion symbols necessary
• First-inversion use 6 only
• The third above the bass is implied
• Second-inversion no abbreviations

7
Figured Bass, Continued

• Abbreviated figured bass seventh chords
• Root-position use 7 only
• The third and fifth above the bass are implied
• First-inversion use 6 and 5 only
• The third above the bass is implied
• Second-inversion use 4 and 3 only
• The sixth above the bass is implied
• Third inversion use 4 and 2 only
• The sixth above the bass is implied

8
Figured Bass, Continued

• Root-position 5th and 3rd are implied
• First-inversion 3rd is implied
• Second-inversion 6th is implied
• Third-inversion 6th is implied

9
Skills Review Roman Numerals / Figured Bass

• It is important to remember the order of
  operations when deciphering and encoding Roman
  numerals and inversion symbols
• Consider the following example
• Provide a Roman numeral and figured bass symbols
  as necessary.

10
Skills Review Roman Numerals / Figured Bass

• Step 1 reduce to root-position to determine root
  of sonority
• Stack in ascending thirds
• Lowest note of rearranged sonority is root

11
Skills Review Roman Numerals / Figured Bass

• Step 2 determine the scale-degree of the root
  this tells you the Roman numeral of the chord
• Remember the chord quality maps we have been
  dealing with in this course see p. 119 in
  course packet
• B is the root of the chord, which is scale-degree
  5 in the key of E major, so the Roman numeral is V

12
Skills Review Roman Numerals / Figured Bass

• Step 3 determine intervals above the bass note
  of the given chord these are the intervals of
  the figured bass symbols

13
Skills Review Roman Numerals / Figured Bass

• Step 4 can these symbols be abbreviated?
• 6/5/3 indicates a seventh chord in
  first-inversion, which is typically abbreviated
  simply to 6/5
• Thus the correct answer for the problem is

14
Skills Review Roman Numerals / Figured Bass

• Now consider another example
• Spell the indicated triad or seventh chord

15
Skills Review Roman Numerals / Figured Bass

• Step 1 write the triad or seventh chord in
  root-position
• iv indicates a minor triad with scale-degree 4 as
  the root
• Scale-degree 4 in F-sharp minor is B, so a
  B-minor triad includes the pitches B, D, and F

16
Skills Review Roman Numerals / Figured Bass

• Step 2 determine what member of the triad (root,
  3rd, or 5th) is in the bass
• 6/4 implies that the fifth of the B-minor triad
  is in the bass, which is the pitch F
• Write this note on the staff

17
Skills Review Roman Numerals / Figured Bass

• Step 3 fill in the indicated intervals above the
  bass
• Sixth and fourth above F , the pitches D and B
• Thus the correct answer for the problem is

18
Announcements

• Quiz 3 Friday
• Triads / seventh chords spell and identify
• Mini-Homework 10 due Friday
• Do only the ODD problems
• Turn this one in to your AI
• Hearing 2 October 21-23
• Sign up with your AI this week!
• Project 1 due Monday, October 21
• Exam 2 Thursday, October 24