Before revision:  Alongside these unexpected and significant results } , a new algorithm to differentiate between related sequences is proposed here that reliably studies evolutionary distance with respect to protein secondary structures.
After revision:  Alongside these unexpected and significant results }-helical conformation but also for the 'turns', equiprobably. Hence, accidental and random nature of occurrences of 3(10) and Pi-helices, and their evolutionary non-conservation, could be described and explained from an invariant quantitative framework. Extent of correctness of two previously proposed hypotheses on 3(10) and Pi-helices, have been investigated too. Alongside these , a new algorithm to differentiate between related sequences is proposed here that reliably studies evolutionary distance with respect to protein secondary structures.