Seventh Chords: Arithmetic
Goal: To hear the dominant seventh chord by using arithmetic concepts.
Out of Tempo
Speaking letters, scales degrees, intervals, or solfege.
Addition
Beginning
- Teacher speaks interval content, “Major third plus minor third plus minor third.”
- Students repeat.
Intermediate
- Teacher speaks scale degrees, “5th plus 7th plus 2nd plus 4th.”
- Students repeat.
Advanced
- Teacher speaks solfege, “Sol + Ti + Re + Fa = Dominant seventh chord."
- Students repeat.
More Advanced
- Teacher starts in a different key therefore using fixed do solfege.
- Example: Key of F = "Do Mi Sol Ti-flat" = Dominant seventh in the key of F.
Subtraction
Beginning
- Teacher speaks (numbers, letters, chord tones, intervals, solfege) the four chord tones of the dominant seventh.
- Students repeat.
- Teacher then subtracts one of the chord tones.
- Students repeat and answer which one is missing.
Intermediate
- Teacher speaks (numbers, letters, chord tone, intervals, or solfege) the four chord tones of the dominant seventh.
- Students repeat.
- Teacher then subtracts two of the chord tones.
- Students repeat and answer which ones are missing.
Advanced (Subtracts then replaces)
- Teacher speaks (numbers, letters, chord tone, intervals, or solfege) the four chord tones of the dominant seventh.
- Students repeat.
- Teacher then subtracts one of the chord tones, then prompts, “Replace with another element of the dominant seventh." (Subtract fifth, replace with interval from root)
- Students repeat and answer with a new descriptor of the missing note.
Multiplication
Beginning
- Teacher speaks, “Root, third, fifth, seventh,” x times.
- Students repeat.
Intermediate
- Teacher speaks chord tones in a different order beginning with the root and repeat x times.
- "Root, seventh, fifth, third,” etc.
- Students repeat x times.
Advanced
- Teacher prompts, “Repeat each pair of chord tones x times.”
- Students answer, “So Ti, Sol Ti, So Ti, Sol Ti /Ti Re, Ti Re, Ti Re, Ti Re/Re Fa, Re Fa, Re Fa, Re Fa."
Division
How do you divide a seventh chord?
Beginning
- Teacher speaks, “Sol Ti" then "Re Fa” and divides the dominant seventh chord in half.
- Students repeat.
Intermediate
- Teacher prompts, “Divide a dominant seventh chord into half steps grouped by chord tone.”
- Students answer, "Sol Sol# La La# Ti/Ti Do Do# Re/Re Re# Mi Fa."
Advanced
- Teacher prompts, “Divide the Dominant seventh chord in to three parts."
- Students answer, "Sol Ti, Ti Re, Re Fa."
In Tempo
Singing or playing scale degrees, solfege, or chord tones.
Addition
Beginning
- Teacher sings, “Sol Ti, Ti Re, Re Fa.”
- Students repeat.
Intermediate
- Teacher sings, “Sol Ti, Ti Re, Re Fa/Sol Fa Re Ti Sol.”
- Students repeat.
Advanced (Up and down)
- Teacher sings in scale degrees upward then downward, “5 6 7 / 7 1 2 / 2 3 4," then "4 3 2 / 2 1 7 / 7 6 5."
- Students repeat.
Subtraction
Beginning
- Teacher sings, “Sol Ti Re Fa/Fa Re Ti Sol” in a slow tempo.
- Teachers prompts, “Repeat and subtract Ti, continuing in the same tempo – marking the omitted notes.”
- Students sing without Ti.
- Process continues, leaving out other individual chord tones.
Intermediate
- Teacher sings, “Sol Ti Re Fa/Fa Re Ti Sol” in a slow tempo.
- Teachers prompts, “Repeat and subtract Ti and Re continuing in the same tempo – marking the omitted notes.”
- Students sing without Ti and Re.
- Process continues, leaving out other individual chord tones.
Advanced
- Teacher sings Sol, and then the other chord tones in a different order in tempo.
- Teacher prompts, “Sing Sol then the other chord tones and subtract one of them.”
- Students sing and subtract.
- Process continues with different omissions and on different starting solfeges in different keys.
More Advanced
- Teacher sings dominant seventh chord as above.
- Teacher prompts, “Subtract a chord tone and replace it with a different descriptor of the missing note.”
- Students answer as prompted.
Multiplication
Beginning
- Teacher sings, “Root, third, fifth, seventh,” x times.
- Students repeat.
Intermediate
- Teacher sings chord tones in a different order beginning with the root and repeat x times.
- Root, seventh, fifth, third,” etc.
- Students repeat x times.
Advanced
- Teacher prompts, “Sing each pair of chord tones x times.”
- Students answer, “So Ti, Sol Ti, So Ti, Sol Ti /Ti Re, Ti Re, Ti Re, Ti Re/Re Fa, Re Fa, Re Fa, Re Fa."
Division
Beginning
- Teacher sings, “Sol Ti" then "Re Fa" and divides the dominant seventh chord in half.
- Students repeat.
Intermediate
- Teacher prompts, “Divide a dominant seventh chord into half steps grouped by chord tone.”
- Students sing, “Sol Sol# La La# Ti/Ti Do Do# Re/Re Re# Mi Fa.”
Advanced
- Teacher prompts, “Divide the dominant seventh chord in to three parts."
- Students sing, "Sol Ti, Ti Re, Re Fa."
More Advanced
- Teacher prompts, “Sing a dominant seventh chord mixing chord tones, letters, numbers, solfege, and intervals.”
- Students answer singing different combinations of the above.