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I've been thinking of a story or game campaign focused on orders of knighthood and nobility. Here, the military and political system might have the basic knight and his personal retainers as the basic unit of power. The more knights a noble can assemble through vassaldom and liege bond, the more power he can wield. Anyway, it was fun to play with the IPP code working in loops and accumulating running sums.
Some basics to understand how this works in my fantasy world:
don't want to read through all this junk? here's the link, enjoy: https://1drv.ms/u/s!Amd5j_tEzLgZqHuT7F2WsWqT6cJU
* Patrol - you encounter a single knight and his personal entourage. If this is a high ranking knight, his entourage might include an additional knight or two. Total force of 5 - 30 +/-.
* Company - a detachment of one or more knights and their retainers. Total force of 15 - 50 +/-.
* Regiment - All the forces of a nobleman, led by a Knight Commander or Grand Commander, his Companion, Champion, and Banneret, and all his Attendant and Bachelor knights and retainers. Total force of 150 - 300 +/-.
* Army - Several regiments organized by a major nobleman. Added to the individual regiments are a "HQ" of a General, Lt. General, Aide-deCamp, and Standard Bearer. Total force of several hundred to well over a thousand.
Ranks of Knighthood
* Grand Knight Commander - commands a regiment and other regiments (which may or may not be encountered with him).
* Knight Commander - commands a regiment.
* Knight Companion - councillor to a Grand Commander or Commander. More likely to be a nobleman.
* Knight Champion - serves a Grand Commander or Commander as the hero of the regiment.
* Knight Banneret - the most senior or honored Bachelor of a regiment; bears the standard or colors of the regiment.
* Knight Attendant - a landed knight, usually an experienced senior knight, who is a vassal of a nobleman and required to attend his liege lord in knight's service.
* Knight Bachelor - The most junior rank of knighthood; a "household" knight, without land, likely living in his lord's castle.
* Squire - A knight-in-training. A capable mounted fighter that has not yet attained Knighthood. Always a member of the gentry, and possible the son of a nobleman or knight.
* Page - Younger than a squire and not a proficient fighter. Mostly a servant learning the ways of knighthood, and a "combatant of last resort".
Ranks of Officers and Retainers
* Footman - a (semi-)professional soldier/man-at-arms; probably lightly armored and well armed.
* Archer - an effective bowman (or in some cases, crossbowman); highly prized specialists.
* Yeoman - a mounted corporal, assisting the company Sergeant. Will fight with non-mounted troops in battle.
* Sergeant - an experienced professional mounted man-at-arms. Will lead non-mounted troops in battle.
* Captain - a knight's primary officer in charge of his retainers. Will fight with the cavalry in battle.
* Brigadier - A captain of a Grand Commander or Commander's retainers; a "First Captain" of the regiment.
* Standard Bearer - A knight entrusted to carrying the "colors" of the head nobleman of an army.
* Aide-de-Camp - A knight serving as the personal assistant to the head nobleman of an army.
* Lt. General - Knight in third command of an army, after the General and lead nobleman of the army. Many times will lead the vangard.
* General - Knight in second command of an army, lead nobleman of the army. Many times will lead the main force, with the lead nobleman commanding the read guard and reserves.
OK, sorry - I didn't mean to write that much. Here's the link. Even if you don't like the premise, you might find some of the code interesting to adapt to something else.