Shellsort improves on Insertion sort by decreasing the number of comparisons made and hence the time taken to complete the sorting, the main of objective of this work is the development an algorithm that also improves on Shellsort by further decreasing the number of comparisons made on the items to be sorted in order to know the position each item will occupy. By implication, the time taken to run an algorithm to completion also decreases with a decreased number of comparisons