Probably the most popular and often performed choral piece is the "Alleluia Chorus" from Handel's Messiah. A growing number
of performances are now colored with modern phrasing, frequently of a "gospel" nature. We thought it might be an interesting
harmonic exercise to see how many variations we could find of its "Amen"-style ending.
The Original
Here is the original version of the last 2 bars of Handel's Alleluia, with Substitution1(3) on both TONIC and COUNTER chords D \ G, G / D, Real Triads in Root Position, with note-values \ . , / .
Orbit Lines - Soprano - 0 \ 0 , 0 / 0 , notes D \ D , D / D, Alto - 2 \ 1 , 1(3) / 2 , notes F# \ G , G / F#, Tenor - 1(3) \ 2 , 2 / 1 , notes A \ B , B / A, Bass - theFundamentalBass/, notes D \ G , G / D.
Possible Changes
We will now apply changes to this simple Triad version - replace the missing MOTRIXs, first on the 2 s, then on the ., dominantize both the TONIC and the COUNTER chords, first on the 2 s, then on the .; half-diminish the COUNTER chord, first on the second , then on the .; augment the TONIC chord, on the first .
The Soprano and Bass voices will remain unchanged, Soprano on the COMMON TONE, notes D \ D, D / D, Bass on the Fundamental Bass, notes D \ G, G / D. The Alto voice will have six different possibilities - 1. the original line 2 \ 1, 1(3) / 2, notes F# \ G, G / F# ; 2. with the MOTRIX on the second , notes F# \ G, E / F# ; 3. with a diminished MOTRIX on the second , notes F# \ G, E# / F# ; 4. with the MOTRIX on the . and the second , notes F# \ E, E / F# ; 5. with the MOTRIX on the ., diminished on the second , notes F# \ E, E# / F# ; 6. with the diminished MOTRIX on both the . and the second , notes F# \ E#, E# / F#. The Tenor voice will have nine different possibilities - 1. the original line 1(3) \ 2, 2 / 1, A \ B, B / A ; 2. with a dominantized COUNTER on the , A \ B, Bb / A ; 3. with a dominantized COUNTER on the . and on the , A \ Bb, Bb / A ; 4. with a dominantized MOTRIX on the TONIC , C \ B, B / A ; 5. with dominantized s on both TONIC and COUNTER, C \ B, Bb / A ; 6. with dominantized . and s, C \ Bb, Bb / A ; 7. with major seventh on the TONIC , C# \ B, B / A ; 8. with augmented fifth on the TONIC , A# \ B, B / A ; 9. with augmented fifth on the TONIC , and dominantized on the COUNTER, A# \ B, Bb / A. The six Alto lines are compatible with the nine Tenor lines, producing 54 different combinations. You might feel like working them out.
Examples
However, presenting a few particularly pleasant combinations might be a good idea.
. . .
The first example, on the left, consists of Alto Line 2 and Tenor Line 5 - F# \ G, E / F# and C \ B, Bb / A, with chords D7 \ G, Gm6 / D, each is complete and dominantized. Very current usage, especially in Dixieland. The second example, on the right, consists of Alto Line 6 and Tenor Line 4 - F# \ E#, E# / F# and C \ B, B / A, with chords D7 \ G+6, G+6 / D, the first is complete and dominantized, the . and the second are complete and half-diminished. No mistaking this one, pure Blues.
. . .
The first example, on the left, consists of Alto Line 3 and Tenor Line 9 - F# \ G, E# / F# and A# \ B, Bb / A, with chords D+5 \ G, Gm+6 / D, the first is augmented, the second is dominantized and half-diminished. NOTE the simultaneous use of the E# and the Bb in these chromatic embroideries. The second example, on the right, consists of Alto Line 5 and Tenor Line 5 - F# \ E, E# / F# and C \ B, Bb / A, with chords D7 \ G6, Gm+6 / D, the first is complete and dominantized, the . is complete and the second is dominantized and half-diminished. NOTE again the E# and Bb in (almost) chromatic scales. This one is worth doing over.
Just One More
The last example almost established two contrary-motion chromatic scales. The only problem was the first Alto note, F# instead
of D#, which could be produced by the only form of chromaticism which we have not yet used, Orbit 4.
This example consists of Alto Line 7 (not in the table) and Tenor Line 5 - D# \ E, E# / F# and C \ B, Bb / A, with chords D7+1/F# \ G6, Gm+6 / D, Orbit 4 applied to the first and the F# (abandoned by the Alto) placed in the Bass, the . is complete and the second is dominantized and half-diminished. NOTE the contrary-motion chromaticism in the Alto and Tenor.
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