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Table 1 Possible (\(\checkmark \))and impossible(x) finger transitions for ascending scale by the left-hand and descending scales by the right-hand in which the hand does not move

From: Estimation of playable piano fingering by pitch-difference fingering match model

f(t−1)/f(t)

1

2

3

4

5

1

\(\checkmark \)

\(\checkmark \)

\(\checkmark \)

\(\checkmark \)

x

2

\(\checkmark \)

\(\checkmark \)

x

x

x

3

\(\checkmark \)

\(\checkmark \)

\(\checkmark \)

x

x

4

\(\checkmark \)

\(\checkmark \)

\(\checkmark \)

\(\checkmark \)

x

5

\(\checkmark \)

\(\checkmark \)

\(\checkmark \)

\(\checkmark \)

\(\checkmark \)