Seventh Chords: Arithmetic
Goal: To hear the dominant seventh chord by using arithmetic concepts (starting on different notes and in keys other than C major, minor, or dominant chords).
Out of Tempo
Letters, scales degrees, intervals, solfege.
One student at a time or in groups of two or four students.
Addition
Beginning
- Teacher prompts, “Add the notes of a major, minor, or dominant seventh chord from bottom up.”
- Students do so one at a time in groups of four students – one per chord tone.
Intermediate
- Teacher prompts, “Add the notes of a major, minor, or dominant seventh chord from top down.”
- Students do so one at a time in groups of four students – one per chord tone.
Advanced
- Teacher prompts, “Add the notes of a major, minor, or dominant seventh chord from the given chord tone which is the third or fifth of the chord.”
- Students do so one at a time in groups of four students – one per chord tone.
Subtraction
Beginning
- Teacher prompts, “Here is a major, minor, or dominant seventh chord. Remove the fifth and sing the other chord tones."
- Students do so.
Intermediate
- Teacher prompts, “Here is a major, minor, or dominant seventh chord. Remove the third and sing the other chord tones."
- Students do so.
Advanced
- Teacher prompts, “Here is a major, minor, or dominant seventh chord. Remove the root and fifth and sing the other chord tones."
- Students do so.
Multiplication
Beginning
- Teacher prompts, “Here is a major, minor, or dominant seventh chord. Sing it from bottom up x times.”
- Students do so.
Intermediate
- Teacher prompts, “Here is a major, minor, or dominant seventh chord. Sing it from top down x times.”
- Students do so.
Advanced
- Teacher prompts, “Here is a major, minor, or dominant seventh chord in root position starting on the third or fifth, not ‘bottom up (from the root) or top down (from the seventh).”
- Students do so.
Division
Beginning
- Teacher prompts, “Here is a major, minor, or dominant seventh chord in root position. Two students sing the root and third and two students sing the fifth and seventh.”
- Students do so.
Intermediate
- Teacher prompts, “Here is a major, minor, or dominant seventh chord in root position. Two students sing the root and fifth and two students sing the third and seventh.“
- Students do so.
Advanced
- Teacher prompts, “Here is a major, minor, or dominant seventh chord in root position. Two students sing the root and seventh and two students sing the third and fifth."
- Students do so.
In Tempo
Sung (scale degrees, solfege, chord tone) and playing.
Teacher chooses a tempo, time signature, key other than C major or minor. One note per measure until students are comfortable with the exercise.
Addition
Beginning
- Teacher sets up as above, playing all chord tones and prompts, “Sing a major, minor, or dominant seventh chord singing one note per measure.”
- Students do so.
Intermediate
- Teacher sets up as above, playing three of the four chord tones and prompts, “Sing a major, minor, or dominant seventh chord one note per measure.”
- Students do so.
Advanced (Up and down)
- Teacher sets up as above, playing two of the four chord tones and prompts, “Sing a major, minor, or dominant seventh chord seventh chord one note per measure.”
- Students do so.
- Teacher continues, playing only one chord tone and prompts, “Sing a major, minor, or dominant seventh chord seventh chord one note per measure.”
Subtraction
Beginning
- Teacher sets up as above, removing the 5th and prompts, “Sing a major, minor, or dominant seventh chord one note per measure removing the fifth.”
- Students do so.
Intermediate
- Teacher sets up as above, removing the third and prompts, “Sing a major, minor, or dominant seventh chord one note per measure removing the third.”
- Students do so.
Advanced
- Teacher sets up as above, removing the root and seventh and prompts, “Sing a major, minor, or dominant seventh chord one note per measure removing the root.”
- Students do so.
Multiplication
Beginning
- Teacher sets up as above and prompts, “Sing a major, minor, or dominant seventh chord arpeggiated from bottom up, x number of times, one note per measure.”
- Students do so.
Intermediate
- Teacher sets up as above and prompts, “Sing a major, minor, or dominant seventh chord arpeggiated from top down, x number of times, one note per measure.”
- Students do so.
Advanced
- Teacher sets up as above and prompts, “Sing a major, minor, or dominant seventh chord arpeggiated from third, root, seventh, fifth, x number of times, one note per measure.”
- Students do so.
Division
Four students singing at the same time.
Beginning
- Teacher sets up as above and prompts, “Four students sing the root of a major, minor, or dominant seventh chord.”
- Students do so.
Intermediate
- Teacher sets up as above and prompts, “Three students sing the root of a major, minor, or dominant seventh chord and one student sings the third.”
- Students do so.
Advanced
- Teacher sets up as above and prompts, “Two students sing the root of a major, minor, or dominant seventh chord, one student sings the third, and another student sings the fifth.”
- Students do so.
More Advanced
- Teacher sets up as above and prompts, “One student sings the root, one student sings the third, one student sings the fifth, and another student sings the seventh of a major, minor, or dominant seventh chord.”
- Students do so.