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Table 2 Melodic writing incentives: (a) melodic interval reward; and (b) melodic tone towards reward

From: MetaMGC: a music generation framework for concerts in metaverse

(a)

(b)

\(\mid a_{t}-a_{t-1}\mid\)

\(R^{w1}(s_{t:1},a_{t})\)

Condition

Meaning

\(R^{w2}(s_{t:1},a_{t})\)

0

0.3

\(0< a_{t}- a_{t-1}<4\)

Step-in ascending

0.5

1

0

\(-4< a_{t}-a_{t-1}<0\)

Step-in descending

0.5

2

0.2

\(a_{t}-a_{t-2}>4\), \(-4<a_{t}-a_{t-1}<0\)

Ascend in plunge, than descend in step

0.4

3

0.2

\(a_{t}-a_{t-2}<4\), \(0<a_{t}-a_{t-1}<4\)

Descend in plunge, than ascend in step

0.4

4

0.3

\(a_{t}-a_{t-2}>4\), \(0<a_{t}-a_{t-1}<4\)

Ascend in plunge, than ascend in step

0.1

5

0.4

\(a_{t}-a_{t-2}<4\), \(04<a_{t}-a_{t-1}<0\)

Descend in plunge, than descend in step

0.1

6

− 0.8

\(a_{t}-a_{t-2}>4\), \(a_{t}-a_{t-1}>4\)

Ascend in plunge, than ascend in plunge

− 0.5

7

0.4

\(a_{t}-a_{t-2}<4\), \(a_{t}-a_{t-1}<-4\)

Descend in plunge, than descend in plunge

− 0.5

8

0.2

-

-

-

9

0.2

-

-

-

10

− 0.5

-

-

-

11

− 0.7

-

-

-

12

0.1

-

-

-