An Expert System Devoted to Automated Music Identification and Recognition - Intelligent Music Information Systems: Tools and Methodologies - page 99

Figure 6. This is not a score, at least of this period.

it means that the composition is Rococo. Actually,
the piece of music considered is the Hamburg
Symphony No.1 Wq. 182 by C. P. E. Bach.

CoCoA and the corresponding normal forms are
computed:

K2:=Ideal(NEG(F1N),EG(F2),NEG(F3),NEG(F4),NEG(F5)
,NEG(F6N),NEG(F7),NEG(F8N),NEG(F9),NEG(F10)
,NEG(F11N),NEG(F12),NEG(F13N),NEG(F14N),NEG
(F15),NEG(F16N),NEG(F17N),NEG(F18N),NEG(F19
N),NEG(F20),NEG(F21),NEG(F22),NEG(F23));

third example

The user presses 23 keys of the GUI as shown
in Figure 5. The ideal K3 is then introduced to
CoCoA and the corresponding normal forms are
computed:

NF(NEG(z[1]),I+J+K2);
NF(NEG(z[2]),I+J+K2);
NF(NEG(z[3]),I+J+K2);
NF(NEG(z[4]),I+J+K2);

K3:=Ideal(NEG(F1N),EG(F2N),NEG(F3N),NEG(F4N),NEG
(F5),NEG(F6),NEG(F7),NEG(F8),NEG(F9),NEG(F10
N),NEG(F11),NEG(F12),NEG(F13),NEG(F14),NEG(F
15),NEG(F16N),NEG(F17N),NEG(F18),NEG(F19),NE
G(F20),NEG(F21N),NEG(F22N),NEG(F23));

In this case, the outputs are:

NF(NEG(z[1]),I+J+K3);
NF(NEG(z[2]),I+J+K3);
NF(NEG(z[3]),I+J+K3);
NF(NEG(z[4]),I+J+K3);

1+z[1]
0
1+z[3]
1+z[4]

In this case, the outputs are:

As “0” is the output of:

NF(NEG(z[2]),I+J+K2);