Relief of a siege is not a field battle. The besiegers are in a poor position, especially in the case of a large city with a sizable garrison like Vienna.
In any case, you're moved on to a period where the Ottoman system was in relative decline, not the 15-16th c. By 1683 there's not much chance of the Ottomans deriving any benefit from attacking Malta or Vienna - that would be serious imperial overstretch.
In the 15th-16th, there is no European equivalent to the Ottoman army, which had a far more advanced logistical system, much better unity of command, and vastly superior discipline and training (for the regulars), as well as an organized artillery corps. It's not just the quality of individual troops, it's the entire socio-political organization that allowed the Ottomans to equip, supply, assemble, command, and move large armies of troops, whereas the greatest Western power at the time, the Hapsburgs, had a largely feudal polyglot empire where such an organization wasn't possible.
For massive efficiency the Spanish army had no rival. The Turks, whose discipline and morale had once been held up as a model, had declined as a fighting power. The Janissaries had fallen off in efficiency, and the quality of the feudal horse had worsened with the granting of fiefs to civilians who sent substitutes instead of fighting themselves, and as cavalry remained the predominant arm, the Turkish army was doomed to mark time in a war of sieges waged in the steep hills and valleys of the empire's eastern border.
In the Spanish army, which was in the field for generations rather than months at a time, and which was run on professional, mercenary lines, on the matter of command, lessons had been learned from the Italian Wars. Military leaders were less frequently shadowed by civilian commissaries.
In the Netherlands a solution was reached, where the captain general of the Spanish forces was also governor of the country. The captain general had, moreover, what the leaders of other national armies lacked: a general staff capable of keeping a firm control over the whole administrative and military structure of his force. The
chief of this staff, the camp-master general, disposed the army in camp, on the march, and in order of battle. He and his own staff were responsible for knowing where every man should be at all times. Under him was a quartermaster, in charge of a camp once established, and a provost who,
with his men, was responsible for justice, order, and the prices and sale of foodstuffs. The high quality of these men and their representatives in each tercio was a vital element in the success of campaigns that involved long periods in quarters, in winter and during sieges. The scope of their organising ability went as far as the prostitutes which accompanied the army. There should be eight for each hundred men, a Spanish writer, himself a maestro di campo, wrote, '
for, accepting the fact that well organised states allow such persons in order to avoid worse disorders, in no state is it as necessary to allow them as in this one of free, strong and vigorous men, who might otherwise commit crimes against the local people, molesting their daughters, sisters and wives'. Attached to the captain general's staff, on the more active side, was a corps d'elite of officers, some directly appointed for special merit, not merely for noble birth. These men were used for special duties, from holding reviews to leading a particularly hazardous reconnaissance. With this staff, and a flying squadron of cavalry to carry orders, the general could control, guide and repair the force brought into the field by the camp-master and his men.
Since the proved success of the pike and of firearms, armies had become increasingly specialised, as these weapons were only effective when employed in a strictly disciplined way and indeed with a certain temperamental predisposition which led certain nations to be identified with the best use of a given weapon. The ideal army, it seemed, was one that hired specialists in the various branches (light and medium cavalry, shock and missile infantry, artillery, engineers) to supplement their nation's own best arm. In practice, moreover, native troops showed to poor advantage when matched against mercenaries, and those countries which attempted to raise large numbers of native troops, as did Sweden and some of the German princes, were forced by administrative difficulties, and by the reluctance of the men to serve, to modify or abandon their plans.
As armies continued to grow in size, and steadiness became the crucial factor in tactics dominated by firearms, the hired specialist was found both more reliable and more capable of adjusting himself to change than the soberest conscript. Gustavus Vasa's successor, Eric, returned to using them, and 'perhaps the weightiest testimony of all against the conscript army was the experience of the Dutch: the great reforms of Maurice were carried through (and contemporaries believed that they could only have been carried through) by an army of punctually paid mercenaries.
And this was happening in the period between the end of the Italian wars and the start of the thirty years war.