From Randomness to Determinism: Disenchanted Qimen Dunjia as a Deterministic Choreographic Generator

Abstract  摘要

Laban's Effort theory offers a discrete naming system for bodily quality, yet it has never provided a formal tool for describing the transitions between qualities — the substance of dance was never the pose but the transformation, and transformation itself has long lacked a coordinate system. This paper first proposes an eight-by-eight, sixty-four-cell "dictionary of qualities" as an extension of Laban's Effort theory, arguing that the lexicon stands on its own even when stripped of everything that follows. Building on this, the paper examines the chance-operation lineage opened by John Cage and Merce Cunningham — a lineage that has rarely been advanced in the half-century since, remaining confined to a single dimension of randomness incapable of supplying structural direction or tension. This paper proposes Qimen Dunjia as a replacement for dice, retaining its entire symbolic machinery while stripping its divinatory truth-claims, so that it becomes functionally of a kind with the twelve-tone row or any formal constraint — only far richer, and natively coupled to time. The paper concludes by arguing that this disenchanting move offers a new theoretical framework for authorship in choreography: the generator supplies the necessary, the body answers with interpretation, refusal, or defiance, and it is this wrestling between necessity and freedom that constitutes the true ethical core of the method.

拉班力效理論為身體質感提供了一套離散的命名系統，卻始終未能為質感與質感之間的過渡狀態建立形式化的描述工具——舞蹈的本體從來不是姿勢，而是轉化，但轉化本身長期缺乏一套坐標系。本文首先提出一部八乘八、六十四格的「質感字典」，作為對拉班力效理論的擴展性回應，論證此字典即便脫離後續一切裝置，亦足以構成一項獨立的編舞學貢獻。在此基礎上，本文進一步考察凱奇與康寧漢開創、卻在此後半個世紀鮮少被真正推進的機遇操作傳統——這一傳統始終停留在隨機性這一單一維度，無法提供結構性的方向與張力。本文提出以奇門遁甲替代骰子，完整保留其符號機制、徹底剝離其占驗真值主張，使其在功能上與十二音列同屬一類工具，卻遠為豐富，且天然與時間本身咬合。本文最終論證，這一去魅動作為編舞學的「作者性」概念提供了新的理論框架：發生器供給必然，身體負責回應、詮釋、甚至違抗，必然與自由之間的搏鬥，構成這套方法論真正的倫理核心。

Keywords — Laban Effort theory · dictionary of qualities · Qimen Dunjia · disenchantment · chance operations · choreographic generator · deterministic system

關鍵詞 — 拉班力效理論 · 質感字典 · 奇門遁甲 · 去魅 · 機遇操作 · 編舞發生器 · 確定性生成系統

1 · The Missing Coordinate System of Transformation

轉化的坐標系缺口

Laban's Effort theory organizes the body's dynamics into combinations of four factors — Time, Space, Weight, and Flow — from which eight base Efforts are derived. This discretization remains one of the most influential formal languages in choreographic pedagogy, yet its very discreteness is also its limit: it names static quality well, but offers no formal account of the transitional state between qualities — the in-between in which one force is in the act of becoming another. Why the same raised arm reads as floating in one body and striking in another has long been consigned to "feeling," transmitted body to body, mouth to ear, rather than treated as a form of knowledge that can be described, taught, or verified.

拉班力效理論將身體的動能組織為時間、空間、重量、流暢度四個因子的組合，由此推導出八種基本力效——這一離散化的分類系統，長期以來是編舞學與舞蹈訓練體系中最具影響力的形式語言之一。然而，這套系統的離散性同時構成了它最大的理論限制：它擅長為靜態的質感命名，卻未曾為質感彼此之間的過渡狀態——一種力正在變成另一種力的中間態——提供任何形式化的描述工具。同一個抬手動作，為何在一個身體上讀作「漂浮」，在另一個身體上讀作「推壓」，歷來被劃歸為「感覺」，依賴口傳心授，而非任何可被系統描述、可被教授、可被驗證的知識形式。

Twentieth-century choreographic history left a second, often over-simplified, thread. Cage and Cunningham used the I Ching and the throw of dice to expel the choreographer's taste from the decision, so that the body might say what the choreographer could not imagine. Their contribution is usually reduced to "the introduction of randomness" — a reduction that obscures what dice and coins actually supply: only the capacity to interrupt habit, never any structural direction or tension. This is precisely why the lineage has rarely been extended as a living methodology in the half-century since, and has instead been cited mostly as a historical gesture.

二十世紀編舞史留下了另一條清晰卻常被簡化理解的線索。凱奇與康寧漢借助《易經》占問與骰子投擲，將編舞者的個人品味逐出創作決策環節，使身體得以說出編舞者本人無法預先設想的語言。這一貢獻長期被歸結為「引入隨機性」，但這一歸結本身即是一種簡化：骰子與硬幣所提供的，僅僅是打斷創作者慣性思維的能力，卻無法提供任何結構性的方向或張力。這正是這一傳統在此後半個世紀，鮮少被真正推進為可持續發展的方法論、而僅被當作一種歷史姿態加以引用的根本原因。

This paper responds to both gaps at once. Section 2 proposes a sixty-four-cell "dictionary of qualities," supplying Laban's Effort theory with a coordinate system for transitional states. Section 3 argues that a disenchanted Qimen Dunjia, functioning as both a random source and a structural dramaturgy, advances the single-dimensional limit that chance operations have long failed to break. Section 4 addresses the theoretical implications of this method for the concept of authorship in choreography, answering the inevitable objection that structure might replace the body altogether.

本文試圖同時回應這兩個理論缺口。第二節提出六十四格「質感字典」，為拉班力效理論補上轉化狀態的坐標系；第三節論證奇門遁甲經徹底去魅處理後，如何作為一種同時具備隨機源功能與結構性戲劇法的發生器，推進機遇操作傳統長期未能突破的單一維度局限；第四節處理這一方法論對編舞學「作者性」概念帶來的理論意涵。

2 · The Dictionary of Qualities: A Coordinate System for Transformation Itself

質感字典：給轉化本身一個坐標系

The dictionary places Laban's eight base Efforts — Float, Glide, Flick, Dab, Wring, Press, Slash, Punch — on both the row and column of a matrix: the row is the base (what underlies), the column is what is mixed in, both axes sharing the same order, forming a self-multiplied eight-by-eight matrix of sixty-four cells. Each cell does not simply denote a single Effort, but describes the third quality produced when two qualities meet — the in-between state read at the row-column intersection. That the matrix is isomorphic to the sixty-four hexagrams is not decorative; it follows structurally from both systems being built on the pairwise combination of eight base elements.

質感字典的構造原理，是將拉班力效理論的八種基本力效（漂浮、滑抹、彈拂、點拍、擰絞、推壓、劈砍、沖打）同時置於矩陣的行與列——行代表本體（底），列代表掺入，兩軸同序，構成一個自身相乘的八乘八矩陣，共六十四格。矩陣中的每一格，並非簡單標示某一單一力效，而是描述兩種質感相遇後所產生的第三種質感——即行列交點處那個「正在轉化中」的中間態。此矩陣與六十四卦同構絕非修辭裝飾，而是結構上的必然：兩套系統均建立在八個基本元素的兩兩交叉組合之上。

The design's chief theoretical significance lies in its autonomy. Even stripped entirely of the Qimen generator that follows, the dictionary stands as an independent, teachable, verifiable body grammar — supplying what choreographic theory has long lacked: a coordinate system for transformation itself, not merely for state. Where row and column coincide, a cell reads as pure, the base quality unmixed; where they cross, it reads as fused, carrying structural friction — a distinction that gives choreographers a concrete, operable basis for deciding where to place stable texture and where to place a site of resistance, rather than relying on intuition alone.

這一設計最值得強調的理論意義，在於它的自主性。即便完全抽離後續奇門遁甲這一符號發生器，質感字典本身依然作為一套獨立的、可教授、可驗證的身體語法而成立——它給編舞學提供了此前一直付之闕如的東西：一套用以描述「轉化」本身、而非僅僅描述「狀態」的坐標系。行列重合之處呈現的是純化的本體質感；行列交叉之處則呈現融合狀態，帶有結構性的摩擦與張力——這一區分為判斷何處適合作為穩定質感層、何處適合作為異常或抵抗層，提供了明確且可操作的依據，而非僅依賴編舞者的直覺取捨。

The matrix carries a second, independent axis, orthogonal to the pure/fused distinction above: the pair of cells sitting at antipodal positions through the matrix's center, where every governing factor is inverted at once rather than partially crossed. We term this relation polar reversal (極反). This structure was arrived at independently, from the matrix's own symmetry — yet it corresponds closely to a practice already established within Laban's own system: the Diagonal Scale, in which a practitioner moves along the cube's four space diagonals, from one corner directly to its opposite — for instance, from Floating to Punching — with Space, Weight, and Time reversing all at once, rather than shifting one or two factors at a time along an edge or a face. The two are not the same claim: one is a body-training pedagogy, the other a property of a symbolic matrix's symmetry. But they pick out the same underlying structure from independent directions, and the correspondence is worth naming — a performer already trained in the Diagonal Scale brings a directly transferable vocabulary to the matrix's points of maximum transformation, with no translation layer required. We flag this correspondence for what it is: neither does it validate the deterministic-generator argument advanced in Section 3, nor does that argument depend on it.

矩陣內部還存在第二條、與上述本體／融合區分相互獨立的軸線：透過矩陣中心彼此對稱的兩格，其間所有支配因子並非部分交叉，而是同時全部翻轉。我們將這組關係稱為「極反」。這一結構是從矩陣自身的對稱性中獨立推得的——但它與拉班體系內部早已確立的一項訓練法高度對應：對角線量表（Diagonal Scale）。練習者沿立方體的四條空間對角線移動，從立方體一角直接移至其正對角——例如從漂浮移至沖打——空間、重量、時間三個因子同時全部翻轉，而非像沿棱邊或沿面移動那樣僅逐次改變一到兩個因子。兩者並非同一項主張：一個是身體訓練教學法，一個是符號矩陣對稱性的固有屬性。但二者從獨立方向指向了同一個底層結構，這一對應關係值得被指出——一名已受過對角線量表訓練的表演者，面對矩陣裡轉換幅度最劇烈的節點時，能直接調用一套現成、不需額外轉譯的身體語彙。我們僅將這一對應關係如實標記：它既不驗證第三節所論證的確定性發生器框架，該論證亦不依賴於它成立。

3 · Disenchanted Qimen Dunjia: Recovering Structural Dramaturgy

去魅的奇門遁甲：結構性戲劇法的引入

If the dictionary solves the problem of granularity, what remains is the problem of who — or what — decides which cell, at a given moment, is activated. This paper proposes Qimen Dunjia in place of dice: an ancient Chinese system that has organized direction, sequence, motion, stillness, and conflict into symbols for over a thousand years, whose internal grammar far exceeds a simple random-number mechanism. Adopting this system entails no claim to divinatory truth. The central methodological move is to retain the entire symbolic machinery of Qimen Dunjia — the sovereign, the envoy, the nine stars, the eight doors, the eight spirits, the generative and destructive relations of the ten stems — while completely removing its truth-claims. One need not believe that the stars govern human affairs; one need only that the system is complex, deterministic, and carries a grammar of its own that resists arbitrary simplification.

若質感字典解決的是「素材的顆粒度」問題，本文接下來處理的則是「決策權的讓渡」問題——即誰、或什麼，決定在特定的時間點，六十四格字典中的哪一格被激活。本文提出以奇門遁甲取代骰子，作為這一決策的發生器。奇門遁甲是一套組織了方位、時序、動靜與衝突超過千年的中國古代符號系統，其內部語法的完整性，遠超單純的隨機數生成機制。然而，採用這一系統絕非意味著任何形式的占驗真值主張。本文最核心的方法論動作，是完整保留奇門遁甲的全部符號機制（值符、值使、九星、八門、八神、天干地支之生剋關係），同時徹底剝離其占驗的真值主張。研究者無需相信天時方位真的支配人事，僅需要這套系統足夠複雜、足夠確定、自帶一套無法被隨意簡化的內部語法。

Once disenchanted, Qimen Dunjia is functionally of a kind with the twelve-tone row, or with any formal constraint — only far richer, and natively coupled to time: the same moment always yields the same chart, a direct demonstration of the system's determinism. This substitution gives a choreographic generator two capacities that a pure random source cannot supply. The first is absolute singularity: each performance's chart belongs only to the specific moment at which it was cast, so the work is no longer a repeatable object but a sequence of events, each unrepeatable and each verifiable after the fact — in an age when anything can be copied without limit, a deterministic machine manufactures the un-copyable once more. The second is structural dramaturgy inherent to the chart: the march of its sovereign, the inward lock of its stillness, the crest of its energy from the five-phase relations, its single point of irreconcilable conflict — none of these are imposed by the creator; the chart grows them itself. This is precisely the limit that chance operations have never overcome: dice can only interrupt habit, whereas a Qimen chart supplies both contingency and dramatic structure at once.

去魅之後，奇門遁甲在功能上即與十二音列、或任何一套形式約束系統同屬一類工具，卻遠為豐富，並且天然與時間本身咬合——同一時刻必然生成同一張盤，此為系統確定性的直接證明。這一替換為編舞發生器帶來了單純隨機源所不具備的兩項關鍵能力。其一為絕對的一次性：每一場演出的起局，只屬於該次演出發生的那一具體時刻，作品由此不再是可反覆重演的固定客體，而是一系列各自獨一無二、且事後仍可被考證核驗的事件——在一個萬物皆可無限複製的時代，一台確定性的機器反而重新製造出不可複製性。其二為自帶的結構性戲劇法：值符的行進路線、門盤或星盤的伏吟靜滯、五行生剋帶來的能量峰值、全局唯一的克戰衝突點，這些並非由創作者強加，而是盤面自身生長出來的結構。這正是機遇操作傳統長期未能突破的局限——骰子只能打斷創作者的慣性，奇門盤卻能同時提供偶然性與戲劇性的結構張力。

4 · Necessity and Freedom: Reframing Authorship

必然與自由：對「作者性」概念的重新界定

A choreographic system built on "deterministic generation" invariably invites a theoretical objection: if content is no longer arranged by the choreographer but generated by a chart at a specific moment, where does authorship reside, and does the body become a mere executor of algorithmic output? This paper's answer rests on a strict division of labor between generator and body. The generator supplies the necessary — material that is here, now, and beyond doubt; the dance happens in the body's response to that necessity: how it interprets, refuses, or defies it. The more precise the system, the more it must guard against letting structure dance in the body's place — the generator exists not to replace the performer's freedom but to provoke a freedom the performer could not have invented alone, extending the spirit of Cage and Cunningham while advancing it along the dimension of structural tension that their chance operations never supplied.

一套以「確定性生成」為核心方法論的編舞系統，必然招致一項理論質疑：當演出內容不再由編舞者逐一安排，而由發生器在特定時刻確定地生成，「作者」的位置究竟何在，身體是否僅僅淪為執行算法輸出結果的載體。本文對此提出的回應，建立在對發生器與身體之間分工關係的嚴格界定之上。發生器負責供給「必然」——一份此時此地、確定無疑的力效材料；而舞蹈，發生在身體對這一必然的回應之中：如何詮釋它、取捨它、甚至違抗它。系統越精密，越需要警惕讓結構取代身體本身進行判斷——發生器存在的目的，並非取代表演者的自由，而是逼出一種連表演者自身也無法預先設想的身體可能性，這與凱奇、康寧漢傳統的核心精神一脈相承，卻在提供結構性張力這一維度上有所推進。

Authorship, under this method, should be understood as a distributed relation unfolding within process, rather than a single authority concentrated in the choreographer's individual decisions. The choreographer's authorship lies in the construction of the dictionary and the choice and disenchantment of the generator — the design of a rule system; the performer's authorship lies in on-the-spot interpretation and response to necessary material — freedom exercised under rule. Nor does this paper claim that the mapping is any truth of the universe; it is made of many well-grounded choices, and its objectivity is the objectivity of rules, not of fate. When a performance moves us, the credit is not that "Qimen got it right," but that a constraint charged with its own tension happened to force a good body into being — and a good performer happened to realize it.

本文提出「作者性」在這套方法論中應被理解為一種分佈式的、發生於過程之中的關係，而非集中於編舞者個人決策的單一權威。編舞者的作者性體現於質感字典的構造邏輯與發生器的選擇及其去魅方式，這是一套規則系統的設計；表演者的作者性體現於面對必然材料時的臨場詮釋與回應，這是規則之下的自由實踐。本文也不假裝這套映射是宇宙的真理——它由許多有據的選擇構成，它的客觀性是規則的客觀性，不是天意的客觀性。當一場演出動人，功勞不在「奇門算准了什麼」，而在這套自帶張力的約束，恰好逼出了好的身體，又恰好被好的舞者實現。

5 · Conclusion

結語

This paper has argued for two independent yet mutually reinforcing contributions. First, the sixty-four-cell dictionary of qualities extends Laban's Effort theory, supplying the long-absent concept of "transformation" in dance ontology with a formal coordinate system — a contribution that stands autonomously, independent of any external symbolic system. Second, disenchanted Qimen Dunjia, functioning as a choreographic generator, extends the chance-operation lineage opened but never completed by Cage and Cunningham, replacing the pure randomness that dice and coin-throws alone could supply with a symbolic grammar carrying its own direction and tension — a generator that suspends the choreographer's taste while also supplying structural dramaturgy. This framework has undergone its first practical trial in Salome.exe, in which body, sound, and light share a single deterministic truth table, generated by the same machine, reading the same chart, at the same moment — the empirical findings of that trial are left to subsequent research.

本文論證了兩項相互獨立卻彼此增益的理論貢獻。其一，六十四格質感字典作為對拉班力效理論的擴展，為舞蹈本體論中長期缺席的「轉化」概念，提供了一套形式化的坐標系，此貢獻獨立於任何外部符號系統而自主成立。其二，去魅的奇門遁甲作為編舞發生器，延續並推進了凱奇與康寧漢開創卻未竟的機遇操作傳統，以一套自帶方向與張力的符號語法，取代了骰子與投擲所僅能提供的單純隨機性。這一方法論框架已於《莎樂美.exe》這一具體作品中展開首次實踐檢驗，身體、聲音與燈光在此框架下共享同一張確定性真值表，由同一台機器、讀同一張盤、在同一時刻生成——這一實證層面的檢驗過程與具體發現，留待後續研究進一步展開。

6 · Appendix: Qimen-to-Effort Mapping Rules and System Boundary Conventions

附錄:奇門→力效映射規則與系統邊界規範

Section 3 argued the theoretical logic by which a disenchanted Qimen Dunjia functions as a choreographic generator. This appendix renders that logic as an executable, verifiable mapping system, setting out the technical detail the main text left aside. The system follows a two-stage architecture: Stage A (chart-casting) derives the Qimen chart from the time and place of performance — this stage follows established charting methods and is not this paper's contribution, and should in practice be delegated to an existing charting engine rather than reinvented. Stage B (Effort mapping) translates chart symbols into Effort material, and constitutes the genuine technical core of the method, detailed below.

本文第三節論證了奇門遁甲去魅後作為編舞發生器的理論邏輯，本附錄將這套邏輯落實為一套可執行、可驗證的映射系統，交代正文未及展開的技術細節。系統採兩階段架構:Stage A(起局)負責由演出當下的時間、地點推算奇門盤面，此部分依循既有排盘方法，非本文創新所在，實作時應交由現成的排盘引擎完成，而非重新發明;Stage B(力效映射)負責將盤面符號讀譯為力效材料，是本文方法論真正的技術核心，詳列於下。

6.1 Element-to-Effort Column Mapping

元素→力效列對應表

The table below is the system's core configuration, fixed once and shared across every chart. The Qimen chart's four classes of symbol — the Eight Spirits, the Nine Stars, the Eight Doors, and the Heavenly Stems — each map onto one of Laban's eight Efforts, serving as the "mixed-in" column of the matrix. Both Eight-Spirit lineages (Sovereign-series / Vermillion-Bird-series) are listed side by side; either resolves through the same table. The Nine Stars and Ten Stems, being nine and ten elements respectively, cannot divide evenly into eight columns; the merge rules are noted beneath the table.

下表為系統的核心配置，寫死一次，任何盤面共用。奇門盤面的四類符號元素(八神、九星、八門、天干)分別對應到拉班八種力效之一，作為矩陣的「掺入」列。兩套八神體系(值符系/朱雀勾陳系)在表中並列收錄，依實際排盘所出之神查表即可;九星、天干因元素數目分別為九與十，無法與八力效整除，已於表末註明合併規則。

Merge rules: Vermillion Bird stands in for Black Tortoise's position (Dab); Hook-Coiling stands in for White Tiger's position (Slash); among the Nine Stars, Heavenly Fowl and Heavenly Assistant both merge into Press; among the Stems, Yi merges with Jia into Flick, and Ji merges with Wu into Press.

合併規則:朱雀等同玄武之位(點拍)、勾陳等同白虎之位(劈砍);九星之天禽、天芮同並入推壓列;天干之甲與乙同並入彈拂列、己與戊同並入推壓列。

6.2 System Boundary Rules

系統邊界規則

The Qimen symbol system contains several structural ambiguities of its own. The system resolves each into a fixed configuration rule rather than leaving it to improvisation in performance, so as to preserve the "objectivity of rules" argued for in Section 4.

奇門符號系統內部本即存在若干結構性歧義，系統將其中每一處都收斂為一條寫死的配置規則，而非留待臨場任意判斷，藉此維持「規則的客觀性」(見正文第四節)。

The full sixty-four-cell dictionary content (each cell's quality-name and body-action prompt, referenced in Section 2), the validation fixture derived from a specific chart, and the five-voice chord structure per palace are provided as supplementary technical material and packaged as the system's lookup functions for direct use by Stage B.

正文第二節所述之六十四格質感字典完整內容、由具體盤面推得之驗證夾具，以及每宮五聲部和弦結構，以電子附件形式另行提供，並已封裝為系統之查表函式，供 Stage B 直接調用。