The conclusion of the long-sword Zettel ([LS 23]) contains the system's only explicit arithmetic: two hangings from each side, eight windings, and "each one of those windings I hold as threefold — so they are twenty and four; count them singly." This file lays the twenty-four out: what the eight windings are and how each is entered, what the three wounders (drei Wunder — hew, thrust, cut) are and how each is delivered from a winding, and — because the count is useless without its decision rule — when each is chosen. Attestation is marked throughout: the count and the selection doctrine are verse; the enumeration of the eight is the gloss tradition's (Ringeck, pseudo-Peter von Danzig, glossing [LS 23]); the full 24-cell matrix is our systematic application of the verse's instruction to "learn to find hew, thrust, cut in all windings" ([LS 4]). Companions: Technical grouping §5 (the tree in summary), Counter network §4 (the bind as a cycle), Glossary (winden, hengen, drei wunder).

1. The arithmetic of the conclusion

The verse ([LS 23], our translation):

Whoever hangs rightly well
and brings winding with it,
and considers the eight windings
with rightful weighing —
and each one
of those windings I hold as threefold —
so they are twenty
and four; count them singly,
from both sides.
Learn eight windings with stepping,
and test the actions (gefert)
for no more than soft or hard.

Unpacked: 2 hangings ([LS 21]: "two hangings arise from one hand from the ground" — over and under) × 2 sides = four hangings; each reached by 2 windings = eight windings; each winding carrying the 3 wounders ([LS 4]: "in all winding learn to find hew, thrust, cut") = twenty-four. Three constraints ride along in the same breath, all verse: learn them with stepping (the wind is a body-turn, not a wrist-turn), singly (as distinct drilled actions, not a blur), and decide among them by no more than soft or hard — the entire sensory budget of the bind.

2. The four hangings — where windings live

The windings are not free-floating techniques; they are rotations between the four point-forward stations of [LS 21] and [LS 11]:

HangingPositionPoint
Left Ochshilt by the left side of the head, upper hanginghanging into his face from above
Right Ochshilt by the right side of the head, upper hanginghanging into his face from above
Left Pflughilt by the left hip, lower hangingrising into his face from below
Right Pflughilt by the right hip, lower hangingrising into his face from below

"From one hand from the ground" ([LS 21]): each side owns one over- and one under-hanging; between the four of them, hilt and point cover every line while the point never leaves him. The bind arrives in one of four basic situations — his blade meets yours high or low, on your left or right — and each situation opens onto exactly two windings. That 4 × 2 structure is the eight.

3. The eight windings — how each is entered

The verse gives the count; the enumeration below is the gloss tradition's (both Ringeck and pseudo-Danzig gloss [LS 23] with the same 4 × 2 architecture, differing only in walk-through detail). The recurring pair at every bind: a first wind that stays on his blade and turns into the same-side hanging, and a wind-through that passes your point across to the hanging on his other side when the first is pressed out.

#Bind situationWindingHow it is doneWhen
1high bind, your leftinto left Ochsstay on his blade; turn hilt up and forward, short edge against his blade, point winds into his faceIndes, the moment the bind speaks
2high bind, your leftthrough to right Ochshis pressure carries your point offline: let it dip under his blade and rise in the opposite hanging, other side of his swordwhen he presses your first wind out
3high bind, your rightinto right Ochsmirror of 1: hilt rises to the right, long edge bearing, point stays in his faceIndes, at the bind
4high bind, your rightthrough to left Ochsmirror of 2: under his blade, out the other sidewhen he presses out
5low bind, your leftinto left Pflughilt sinks to the left hip, blade closing his line, point climbing at his face from belowIndes, at the low bind
6low bind, your leftthrough to right Pflugpoint dips and passes beneath, rising on his other sidewhen he presses out
7low bind, your rightinto right Pflugmirror of 5Indes, at the low bind
8low bind, your rightthrough to left Pflugmirror of 6when he presses out

All eight share one mechanical law, stated in the verse as "with stepping" ([LS 23]): the winding is driven by the step and the body-turn; the hands only carry what the body does. And all eight share one purpose: to keep your point on him and your hilt between you while the bind is being decided — the winding is cover and threat in a single shape (the same one-time logic as Absetzen, [LS 15]).

4. The three wounders — how each is delivered, and when

"Break each particular into three wounders" ([LS 23]); "in all winding learn to find hew, thrust, cut… also you shall, together with it, test hew, thrust, or cut in every meeting" ([LS 4]). From any of the eight stations, three weapons are available, and the bind-pressure chooses among them:

  • Stich — the thrust. The winding's native wound: the point is already on him, so the thrust is completed simply by driving the wind home along the closed line. When: he is soft on the blade, or the wind has shut his line — nothing stands between point and face. The named exemplar in the verse is Mutieren ([LS 6]): the thrust-wounder of a hard upper bind, redirected — wind over his blade and send the point to the lower opening on the other side.
  • Haw — the hew. The edge turned loose from the winding: the blade leaves contact for one tempo and strikes behind or around his parry. When: he is hard and high — his pressure holds your blade but exposes the quarter behind his own sword. The named exemplar is Duplieren ([LS 6]): the doubled strike thrown behind his blade to the upper opening without leaving the bind's cover.
  • Schnitt — the cut. The edge laid on his wrists or forearms and pressed or drawn ([LS 19]: "four are the cuts: two below, two above"; [LS 20]: the conversion over the wrists). When: he drives up or through — crowding in, lifting to strike around, running in to wrestle. The cut needs no distance and no tempo, only contact: it is the brake of the system, and "the hard ones" are its named prey.

The selection rule is the binary of [LS 1] and [LS 13] and nothing more: soft → thrust; hard above → hew behind his blade; hard driving in → cut. "Test the actions for no more than soft or hard" — the verse forbids a richer decision procedure on purpose, because only this one is faster than his commitment.

5. The twenty-four, singly

"Count them singly" (zel sÿ antzigk, [LS 23]) — the verse asks that each combination be known as its own action. The matrix below is our systematic application (the verse mandates the grid; no gloss writes out all 24 cells):

WindingStich (soft)Haw (hard, high)Schnitt (hard, driving in)
1 · left Ochsthrust over his blade to the upper openingdouble behind his blade to the headover-cut onto his wrists
2 · through to right Ochsthrust to the far upper openingstrike around to the far side of his headover-cut, far side
3 · right Ochsthrust over his blade, upper openingdouble behind his bladeover-cut onto the wrists
4 · through to left Ochsthrust to the far upper openingstrike around, far sideover-cut, far side
5 · left Pflugrising thrust to the lower openingsnap the edge up to his arms as he liftsunder-cut into his forearms
6 · through to right Pflugrising thrust, far lower openingedge up on the far sideunder-cut, far side
7 · right Pflugrising thrust, lower openingsnap the edge up to the armsunder-cut into the forearms
8 · through to left Pflugrising thrust, far lower openingedge up, far sideunder-cut, far side

Read down a column and the mirror-structure is obvious — which is the point. The 24 are not 24 arbitrary techniques to memorize; they are one decision (soft/hard/driving) executed from eight addresses. Mutieren is cell 1/3-Stich carried to the other opening; Duplieren is cell 1/3-Haw; the Hendtrucken conversion ([LS 20]) is what every Schnitt cell becomes when it lands. The system's named pieces are the matrix's best cells with names on them.

6. When to wind at all — and when not
  • Enter only from the bind. Winding is bind-play: it begins where blades meet and the hangings can be reached ([LS 21]). At distance the five hews rule; the windings are what the hews become on contact (the Zornhau paragraph narrates exactly this transition: threat → he binds → "be strong in return; wind, thrust," [LS 4]).
  • Not hastily. "Let your Krieg not be hasty" ([LS 4]): winding without feeling is punished on the opposite line — "what the Krieg aims at above, below it is shamed." The wind follows the pressure-reading, never precedes it.
  • The holding pattern is legitimate. The Sprechfenster ([LS 22]) is the wind refused on purpose: stay in long point on the bind and let his first motion choose the cell for you.
  • The exits exist. Zucken ([LS 17]) leaves the winding game entirely when he over-honors the bind; Durchlaufen ([LS 18]) abandons it into wrestling when he crowds past cutting range. The matrix is an arena, not a cage.
  • Both sides, with stepping ([LS 23]): the drill instruction is in the verse itself — eight addresses, three wounders, left and right, feet moving. That is the curriculum the Zettel's conclusion sets, and it is why the tradition could call this one poem a complete art.
The Steel Marginalia · HEMA Study Group Notes in the margins. Truth in the bind.