Sexy! I likey a lot. Still, I had to tinker...

#!/usr/bin/perl -w
use strict;
my $cycle = initToggle( 3 );

for (1..24) {
   print "$_ " . &$cycle . "\n";
}

sub initToggle {
   my $limit = shift;
   die "initToggle() requires a non-zero integer\n" 
      if ($limit == 0 or int($limit) != $limit);
   my $count = -1;
   my $bit   = $limit >0 ? 0 : 1;
   $limit = abs($limit);
   return sub {
      $bit ^=1 if (++$count % $limit == 0);
      return $bit;
   }
}
[download]

Now you can flip the bit on creation and you check for initToggle ( 3.333 );

--
$you = new YOU;
honk() if $you->love(perl)