With 13, 1 bye at the top, and 2 byes at the bottom.

With 14, 1 bye at the top, and 1 bye at the bottom.

With 15, 1 bye at the bottom.

With 16, no byes.

SERIES 3.

From 17 to 32 Competitors.

With 17, 7 byes at the top, and 8 byes at the bottom, thus:

1st Round.2nd Round.3rd Round.4th Round.5th Round
A(a bye)............A}
}————A}
B(a bye)............B}}
}————D}
C(a bye)............C}}}
}————D}}
D(a bye)............D}}
}————D}
E(a bye)............E}}}
}————F}}}
F(a bye)............F}}}}
}————H}}
G(a bye)............G}}}
}————H}}
H}}}
}————H}}
I}}————D
}
J(a bye)............J}}
}————K}}
K(a bye)............K}}}
}————K}}
L(a bye)............L}}}}
}————M}}}
M(a bye)............M}}}
}————O}
N(a bye)............N}}
}————O}}
O(a bye)............O}}}
}————O}
P(a bye)............P}}
}————Q}
Q(a bye)............Q}

With 18, 7 byes at the top, and 7 byes at the bottom.