If you could translate ':' to '.', you could use:
use strict;
use Set::Infinite;
my @array = (
[ '03.30', '05.45' ],
[ '05.45', '09.15' ],
[ '10.00', '11.35' ],
[ '11.00', '15.40' ]
);
my $set = Set::Infinite->new;
$set = $set->union( $_ ) for @array;
print "intervals: $set\n";
my $gaps = $set->complement->intersection( '00.00' , '24.00' );
print "gaps: $gaps\n";
# intervals: [03.30..09.15],[10.00..15.40]
# gaps: [00.00..03.30),(09.15..10.00),(15.40..24.00]
update: tested.
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