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Procedures
As in other forms of generation,
we will procede from Basic Materials,
through Transformations,
to the finished product.
In this case, the Basic Materials consist of -
a complete, detailed Chord Pattern,
placed on the harmonic staff, above the music staves, with
the fundamental Orbit 1 to Orbit 1 line, in  s,
placed just below the harmonic staff, on the top music staff.
The Transformations, on the following music staves, consist of
1. changing to the secondary orbit lines while maintaining the Level 0 note-values (s)
2. progressing to the note-values of smaller levels, ( ,  ,  ),
constantly adding the secondary Orbit Lines and Non-chordal Tones.
3. Finally operating whatever Rhythmic Transformation is required to produce Ternary Levels.
The Melody appears, complete and colored, in the last music staff.
Twinkle, Twinkle, Little Star
If you have not seen the Analysis of this song, we recommend that you do so.
 The A section
We first see the harmonic staff with the chord Pattern M5664
TONIC / TONIC \ COUNTER / TONIC \ COUNTER / TONIC \ DOMINANT / TONIC.
Then, the fundamental Orbit 1 to Orbit 1 line, in s, the notes C / G \ F / G \ F / G \ D / C.
The opening notes C / G are both Orbit 1 on account of the Metamorphosis 1.
Then, changes to the secondary orbit lines -
Orbit 2 to Orbit 1, in the second cell, the notes A / G, and
Orbit 1 to Orbit 2, in the third cell, the notes F / E.
Then, in the smaller note-values of Level -1,
we have neither secondary Orbit-lines or Non-chordal tones to add, because each note is simply repeated.
The "A" section appears, complete and colored.
The B section
We first see the harmonic staff with the chord Pattern M3333
TONIC / DOMINANT \ TONIC / DOMINANT \ TONIC / DOMINANT \ TONIC / DOMINANT.
Then, the fundamental Orbit 1 to Orbit 1 line, in s, the notes C / D \ C / D \ C / D \ C / D.
Then, changes to the secondary orbit lines -
Orbit 0 to Orbit 3, in the first and thid cells, the notes G / F, and
Orbit 2 to Orbit 1, in the second and fourth cells, the notes E / D .
Then, in the smaller note-values of Level -1,
we have neither secondary Orbit-lines or Non-chordal tones to add, because each note is simply repeated.
The "B" section appears, complete and colored.
The complete ABA
A Da Capo al fine produces the complete song.
Clik on the musical illustration to hear the evolution of the generation.
Polly, Put The Kettle On
If you have not seen the Analysis of this song, we recommend that you do so.
On two stave-systems
We first see the harmonic staff with the chord Pattern M5154
with an ANTE-1 tenant on the final DOMINANT chord.
preceded by an ANTE-2 tenant on the Beat of the third cell.
TONIC / TONIC \ ANTE-1 / DOMINANT \ TONIC / TONIC-ANTE-2 \ ANTE-1-DOMINANT / TONIC.
Then, the fundamental Orbit 1 to Orbit 1 line, in s, the notes C / C \ A / G \ C / C \ D / C.
Then, changes to the secondary orbit lines -
Orbit 0 to Orbit 1, in the first cell, the notes G / C,
Orbit 0 to Orbit 1, in the second cell, the notes D / G, and
Orbit 0 to Orbit 1, in the third cell, the notes G / C.
Orbit 2 to Orbit 1, in the fourth cell, the notes B / C.
Then, in the smaller note-values of Level -1,
we find Non-chordal Tones added to Orbit 1 in the first and third cells, the notes G-F / E-C,
as well as Orbit 3 and Orbit 2 added in the second cell, the notes D-C / B-G,
and Orbit 1 substituting for Orbit 3 in the tenant Ante-1 chord of the fourth cell, the notes A-B / C.
The first and third cells have no resolutions being on the TONIC chord.
Then, in the smaller note-values of Level -2, we find -
the Non-chordal Tone A in the first and third cells,
the Non-chordal Tone E in the second cell, and
a pick-up E Orbit 1 on the ANTE-2 of the third cell.
The song appears, complete and colored.
Clik on the musical illustration to hear the evolution of the generation.
Red River Valley
If you have not seen the Analysis of this song, we recommend that you do so.
On two stave-systems
We first see the harmonic staff with the chord Pattern M5374
with a TONIC tenant on the final DOMINANT chord.
TONIC / TONIC \ TONIC / DOMINANT \ TONIC / COUNTER \ TONIC-DOMINANT / TONIC.
Then, the fundamental Orbit 1 to Orbit 1 line, in s, the notes C / C \ C / D \ G / F \ D / C.
Then, changes to the secondary orbit lines -
Orbit 2 to Orbit 1, in the first cell, the notes E / C,
Orbit 2 to Orbit 1, in the second cell, the notes E / D, and
Orbit 2 to Orbit 1, in the third cell, the notes E / F.
The first cell might very well still be only Orbit 1 with the Es double Non-chordal Tones of the C.
Then, in the smaller note-values of Level -1
we find Orbit 0 added in the third cell, the notes E-C / F,
both Orbit 2 and Orbit 0 resolving to Orbit 1, and
Orbit 1, on the TONIC tenant chord, added in the fourth cell, the notes C-D / C,
resolving to Orbit 1 on the DOMINANT chord.
The two first cells have neither secondary Orbit-lines or Non-chordal tones to add,
because each note is simply repeated.
Then, in the smaller note-values of Level -2, we find -
a pick-up to each of the four cells
Orbit 1 in the first and second cells,
Orbit 0 substituting for Orbit 3 in the third cell, and
Orbit 2 in the fourth cell,
Orbit 1 and Orbit 0 added to the Off-beat of the second cell,
Orbit 1 added to the tenant TONIC chord of the fourth cell.
Then, in the smaller note-values of Level -3, we find -
in the first cell, Orbit 0 added to the pick-up
in the second cell, Orbit 0 added to the pick-up and the Off-beat, and Orbit 1 added to the Off-beat,
in the third cell, Orbit 3 added to the pick-up.
No orbits are added to the fourth cell.
The song appears, complete and colored.
Clik on the musical illustration to hear the evolution of the generation.
Rock-A-Bye, Baby
If you have not seen the Analysis of this song, we recommend that you do so.
On two stave-systems
We first see the harmonic staff with the chord Pattern M5324 5364
with an ANTE-1 tenant on the final DOMINANT chord,
and a TONIC tenant on the Off-beat of the seventh cell.
TONIC / TONIC \ TONIC / DOMINANT \ DOMINANT / DOMINANT \ DOMINANT / TONIC
TONIC / TONIC \ TONIC / DOMINANT \ TONIC-COUNTER / TONIC \ ANTE-1-DOMINANT / TONIC.
Then, the fundamental Orbit 1 to Orbit 1 line, in s,
the notes C / C \ C / D \ D / D \ D / C \ C / C \ C / D \ F / G \ D / C.
Then, changes to the secondary orbit lines -
a double Non-chordal Tone of Orbit 1 itself, in the first and fifth cells, the notes E / C,
Orbit 1 to Orbit 2, in the second and sixth cells, the notes C / B,
a double non-chordal Tone of Orbit 1 itself, in the third cell, the notes F / D,
Orbit 1 to Orbit 0, in the fourth cell, the notes D / G, and
Orbit 1 to Orbit 2, in the seventh cell, the notes F / E.
Then, in the smaller note-values of Level -1, we find new Orbits and Non-chordal Tones -
Orbit 0 and s2 of Orbit 1 in the first and fifth cells, the notes G-E / D-C,
Orbit 0 in the second and sixth cells, the notes G-C / B,
Orbit 0 and s6 of Orbit 1 in the third cell, the notes G-F / E-D,
s2 of Orbit 0 in the fourth cell, the notes D-A / G,
Orbit 0 on the TONIC tenant chord (Off-beat) and Orbit 1 (Beat) in the seventh cell, the notes G-F / E-C
Orbit 2 in the eighth cell, the notes D-B / C.
Then, in the smaller note-values of Level -2, we find -
pp3 of Orbit 0 in the first, second, fith, and sixth cells, the note E
p2 of Orbit 0 in the third cell, the note F
sss4 of Orbit 0 in the fourth cell, the note C (most unusual !)
Orbit 1 substituting for Orbit 3 on the ANTE-1 tenant chord (Off-beat) in the eighth cell, the note A.
Then, the Transformation of Ablation is made into 3/4 time.
The song appears, complete and colored.
Clik on the musical illustration to hear the evolution of the generation.
Oh Where, Oh Where, Is My Little Dog Gone?
If you have not seen the Analysis of this song, we recommend that you do so.
On two stave-systems
We first see the harmonic staff with the chord Pattern M3434
TONIC / DOMINANT \ DOMINANT / TONIC \ TONIC / DOMINANT \ DOMINANT / TONIC.
Then, the fundamental Orbit 1 to Orbit 1 line, in s, the notes C / D \ D / C \ C / D \ D / C.
Then, one single change to the secondary orbit lines -
Orbit 1 to Orbit 0, in the second cell, the notes D / G.
Then, in the smaller note-values of Level -1, we find
Orbit 0 in the four cells,
the notes G-C / D-G \ G-D / G \ G-C / D-G \ G-D / C.
Then, in the smaller note-values of Level -2, we find -
Orbit 2 E and ss3 of Orbit 0 B in the first and third cells,
s2 of Orbit 0 A and ss7 of Orbit 1 F in the second and fourth cells, and
a pick-up pp3 of Orbit 0 E at the end of the second cell.
Then, in the smaller note-values of Level -3, we find -
pick-ups to the four cells -
pp3 to Orbit 0 E in the first cell,
Orbit 0 G in the second and fourth cells, and
pp3 and p4 to Orbit 0 E-F in the third cell, as well as
p7 of Orbit 1 B in the first and third cells, and
s6 of Orbit 1 E in the second and fourth cells.
Then, the Transformation of Ablation is made into 6/8 time.
The song appears, complete and colored.
Clik on the musical illustration to hear the evolution of the generation.
Happy Birthday
If you have not seen the Analysis of this song, we recommend that you do so.
On two stave-systems
We first see the harmonic staff with the chord Pattern M3474
with a TONIC tenant on the final DOMINANT chord.
TONIC / DOMINANT \ DOMINANT / TONIC \ TONIC / COUNTER \ TONIC-DOMINANT / TONIC.
Then, the fundamental Orbit 1 to Orbit 1 line, in s, the notes C / D \ D / C \ G / F \ D / C.
Then, changes to the secondary orbit lines -
Orbit 1 (substituting for Orbit 3) to Orbit 2, in the first cell, the notes C / B, and
Orbit 0 (substituting for Orbit 3) to Orbit 2, in the third cell, the notes C / A.
Then, in the smaller note-values of Level -1, we find
Orbit 0 in the first and second cells, the notes G-C / B, and G-D / C,
Orbit 1 in the third cell, both on the Off-beat and on the Beat, the notes G-C / A-F, and
Orbit 2 on the TONIC tenant chord in the fourth cell
resolving to Orbit 1 on the DOMINANT chord, the notes E-D / C.
Then, in the smaller note-values of Level -2, we find -
a pick-up to each of the four cells
Orbit 0 in the first, second, and third cells,
Orbit 1 in the fourth cell.
NOTE that, in this generation, we treat the of each pick-up as if it were
to avoid another, rather useless, generation staff-line,
since the are merely repeated notes.
Then, the Transformation of Ablation is made into 3/4 time.
The song appears, complete and colored.
Clik on the musical illustration to hear the evolution of the generation.
Down in The Valley
If you have not seen the Analysis of this song, we recommend that you do so.
On two stave-systems
We first see the harmonic staff with the chord Pattern M34
TONIC / DOMINANT \ DOMINANT / TONIC.
Then, the fundamental Orbit 1 to Orbit 1 line, in s, the notes C / D \ D / C .
There will be no changes to this fundamental line.
Then, in the smaller note-values of Level -1, we find
ss3 of Orbit 1 in the first cell, the notes E-C / D, and
ss7 of Orbit 1 in the second cell, the notes F-D / C.
Then, in the smaller note-values of Level -2, we find -
2 pick-ups in each of the two split cells, all Orbit 1, the notes C, C, and D, D.
Then, in the smaller note-values of Level -3, we find -
always in the pick-ups,
Orbit 0 and Orbit 2, in each cell, the notes G-C, E-C, and G-D, B-D.
Then, in the smaller note-values  of Level -4, we find -
always in the pick-ups,
s2 of Orbit 1 in the first cell, the note D, and
pp3 and p4 of Orbit 1 in the second cell, the notes B and C.
Then, the Transformation of Ablation is made into 3/4 time, and finally,
a second Transformation of Ablation is made into 9/16 time.
The song appears, complete and colored.
Clik on the musical illustration to hear the evolution of the generation.
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