============================================================
LIBER X — TRIVIUM MATRIX SUBSTRATE
GRAMMATICA / LOGICA / RHETORICA — Q/T SPECIALIZATION DATASET
Version: 0.1.0-LIBER-X-TRIVIUM-MATRIX-SUBSTRATE
Status:
    DRAFT / SOURCE-BOUNDED / NON-CANONICAL
    DEVELOPMENT SUBSTRATE
    NOT TENET
    NOT ROTAS
    NOT AREPO
    NOT OPERA
    NOT SATOR
    NOT SYSTEM_INDEX MUTATION
Authority:
    USER / HUMAN CONTROL PLANE
    CURRENT TRIVIUM DEVELOPMENT SESSION
Class:
    AGLA / LIBER X / TRIVIUM / MATRIX SUBSTRATE
Canonical Effect:
    NONE
Mutation Policy:
    VERSION-CONTROLLED ONLY
============================================================

## I. Purpose

This LIBER normalizes the working field required to construct the TRIVIUM stack. It does not flatten Donatus, Aristotle, Porphyry and Llull into one taxonomy. It records their objects, their homonyms, their direct textual applications, and qualified affinities to the universal species of Q and T.

Core form:

```text
DOMAIN OBJECT
    → grammatical/logical identity
    → part-specific accident or predicable/category profile
    → Q relevance profile
    → T relation resolver
    → cross-art T(BCD) comparison
```

The matrix is relational rather than a single mega-table. The accompanying JSON is the exhaustive machine-facing record; this Markdown is the human-facing analytical view.

## II. Source position and provenance

| ID | Type | Status | Locator | Role |
|---|---|---|---|---|
| SRC.USER.SESSION | USER_AUTHORITY | PRIMARY_CURRENT_SESSION_AUTHORITY | CURRENT SESSION | Defines goals, Donatian nine-slot adaptation, experimental Aristotelian wheel, operator scope, opt-in AGLA prompt interpretation, human/agent pedagogy, non-hierarchical Trivium amplification, and long-term reproducibility telos. |
| SRC.LOCAL.MAPPING | UPLOADED_SOURCE_TARGET | PRIMARY_DEVELOPMENT_SUBSTRATE | /mnt/data/Mapeamento gramatical luliano.txt | Session synthesis for AGLA-mediated prompt interpretation, Trivium parsing, T(BCD), provenance, model-prior boundaries, reproducibility, and scholastic-Latin IR. |
| SRC.CAPUT.C | UPLOADED_SOURCE_TARGET | ROSETTA_SOURCE_TARGET | /mnt/data/CAPUT ARS BREVIS C.md | Figures A/T, contraction ladder, pairwise/triadic figural structure. |
| SRC.CAPUT.D | UPLOADED_SOURCE_TARGET | ROSETTA_SOURCE_TARGET | /mnt/data/CAPUT ARS BREVIS D.md | Definitions, correlatives, substantial/accidental modes, proper/appropriated qualities. |
| SRC.CAPUT.E | UPLOADED_SOURCE_TARGET | ROSETTA_SOURCE_TARGET | /mnt/data/CAPUT ARS BREVIS E.md | Ten general questions, direct species, composite H/I species, generality and non-collapse. |
| SRC.CAPUT.I | UPLOADED_SOURCE_TARGET | ROSETTA_SOURCE_TARGET | /mnt/data/CAPUT ARS BREVIS I.md | Principle–principle and principle–rule mixture while preserving regime identities. |
| SRC.STACK.E | UPLOADED_SOURCE_TARGET_FAMILY | LOCK_CANDIDATE_FAMILY | /mnt/data/TENET_E_DoctrinalInvariants.md, /mnt/data/ROTAS_E_StructuralInstantiation.md, /mnt/data/AREPO_E_InputAdmissibility.md, /mnt/data/OPERA_E_ExecutionMechanism.md, /mnt/data/SATOR_E_OutputRequirements.md | Universal Q/E carrier, structure, admission, execution and mediation references. |
| SRC.STACK.T | UPLOADED_SOURCE_TARGET_FAMILY | LOCK_CANDIDATE_FAMILY | /mnt/data/TENET_T_DoctrinalInvariants.md, /mnt/data/ROTAS_T_StructuralInstantiation.md, /mnt/data/AREPO_T_InputAdmissibility.md, /mnt/data/OPERA_T_ExecutionMechanism.md, /mnt/data/SATOR_T_OutputRequirements.md | Universal T carrier, structure, admission, relational execution and mediation references; local generic genus semantics are superseded here only for the TRIVIUM draft by source-semantic species IDs. |
| SRC.DONATUS | EXTERNAL_PRIMARY_TEXT_TRANSCRIPTION | VERIFIED_2026_08_27 | https://www.thelatinlibrary.com/don.html | Eight parts of speech and part-specific accident inventories; nominal comparison, gender, number, figure and case. |
| SRC.LLULL.AGU | EXTERNAL_TRANSLATION_WITNESS | VERIFIED_2026_08_27_NONCRITICAL_TRANSLATION | https://lullianarts.narpan.net/ArsGeneralisUltima.pdf | Second Figure species, rule species expansion, Articles 86–88 on rhetoric, logic and grammar, including explicit grammar-to-Q/T applications. |
| SRC.ARISTOTLE | EXTERNAL_PRIMARY_TRANSLATION | VERIFIED_2026_08_27 | https://classics.mit.edu/Aristotle/categories.html | Canonical ten-category registry; distinct from the experimental nine-slot TRIVIUM placement. |
| SRC.PORPHYRY | EXTERNAL_PRIMARY_TRANSLATION | VERIFIED_2026_08_27 | https://www.logicmuseum.com/authors/porphyry/isagoge.htm | Five predicables and their logical relations to subject/predicate classification. |
| SRC.ROOT.LAWS | UPLOADED_SOURCE_TARGET_FAMILY | CANONICAL_ROOT_CONTROL | /mnt/data/AGLA_TENET_CLASS_LAW.md, /mnt/data/AGLA_ROTAS_CLASS_LAW.md, /mnt/data/AGLA_AREPO_CLASS_LAW.md, /mnt/data/AGLA_OPERA_CLASS_LAW.md, /mnt/data/AGLA_SATOR_CLASS_LAW.md, /mnt/data/AGLA_FIVE_CLASS_STRUCTURAL_ORDER.md, /mnt/data/AGLA_LIBER_CLASS_LAW.md, /mnt/data/AGLA_SYSTEM_INDEX_LAW.md | Class separation, structural order, dataset status, routing and non-execution constraints. |


### Provenance discipline

Every relation is marked as direct text, user authority, structural derivation, experimental hypothesis or unresolved. A source title, filename or mirror cannot silently promote an inference into parsed text.

## III. Namespace law

| Prefix | Domain | Must not collapse into |
|---|---|---|
| DON.PARS | Donatian part of speech | DON.ACCIDENS, ARIST.PRAEDICAMENTUM |
| DON.ACCIDENS | Donatian grammatical accident/profile axis | ARIST.ACCIDENS, PORPH.ACCIDENS, LLULL.MODUS_ACCIDENTALIS |
| DON.VALUE | Value of grammatical accident | LLULL.Q.SPECIES, LLULL.T.SPECIES |
| DON.GRADUS | Degree of comparison | LLULL.T.SPECIES, ARIST.GRADUS |
| DON.GENUS | Grammatical gender | PORPH.GENUS, ARIST.GENUS |
| DON.QUALITAS | Nominal/pronominal/verbal grammatical quality axis | ARIST.QUALITAS, LLULL.Q.G |
| DON.FIGURA | Simple/compound morphological figure | LLULL.FIGURA, AGLA.ROTA |
| ARIST.PRAEDICAMENTUM | Aristotelian category | LLULL.Q.CARRIER, LLULL.T.PRINCIPIUM |
| ARIST.ACCIDENS | Ontological/categorial accident | DON.ACCIDENS, PORPH.ACCIDENS |
| PORPH.PRAEDICABILE | Porphyrian predicable | DON.PARS, ARIST.PRAEDICAMENTUM |
| LLULL.Q | Universal interrogative rule/species | DON.ACCIDENS, ARIST.PRAEDICAMENTUM |
| LLULL.T | Universal relative principle/local species | ARIST.RELATIO, DON.COMPARATIO |
| TRIV.GRAM | TRIVIUM grammatical projection | LLULL.Q, LLULL.T |
| TRIV.LOG | TRIVIUM logical projection | LLULL.Q, LLULL.T |
| TRIV.RHET | Reserved rhetorical projection port | INFERRED_TAXONOMY |
| TRIV.Q_PROFILE | Domain-conditioned relevance profile over universal Q | NEW_Q |
| TRIV.T_PROFILE | Domain-conditioned resolver over universal T | NEW_T |


Machine records must qualify at least these homonyms:

```text
DON.ACCIDENS       ≠ ARIST.ACCIDENS       ≠ PORPH.ACCIDENS
DON.GENUS          ≠ PORPH.GENUS
DON.QUALITAS       ≠ ARIST.QUALITAS       ≠ LLULL.Q.G
DON.FIGURA         ≠ LLULL.FIGURA
DON.GRADUS         ≠ LLULL.T.SPECIES
ARIST.RELATIO      ≠ REGIMEN_T
```

## IV. Universal Q registry — 54 species

Q contains **54 species records**: 24 direct species and 30 composite temporal/locative species. H and I do not reduce to chronological time and physical location; they temporalize and localize the species of C, D, K1 and K2.


### IV.1 Direct species

| ID | Carrier | Latin / source gloss | Operational sense |
|---|---|---|---|
| LLULL.Q.B.DUBITATIO | B | Utrum? — dubitatio | Suspende entre afirmação e negação; preserva a questão enquanto não resolvida. |
| LLULL.Q.B.AFFIRMATIO | B | Utrum? — affirmatio | Determina positivamente que o objeto ou predicação é. |
| LLULL.Q.B.NEGATIO | B | Utrum? — negatio | Determina negativamente que o objeto ou predicação não é. |
| LLULL.Q.C.QUID_SIT | C | Quid sit? | Define a coisa por uma razão convertível com o definido. |
| LLULL.Q.C.COESSENTIALIA_IN_SE | C | Quid habeat in se coessentialiter? | Expõe constituição coessencial, correlativos intrínsecos e agente–paciente–ato. |
| LLULL.Q.C.QUID_SIT_IN_ALIO | C | Quid sit in alio? | Interroga forma, universal, hábito ou operação enquanto presente em outro sujeito ou domínio. |
| LLULL.Q.C.QUID_HABEAT_IN_ALIO | C | Quid habeat in alio? | Interroga propriedades, atos, hábitos ou efeitos que algo possui ou produz em outro. |
| LLULL.Q.D.ORIGO | D | De quo oriatur? | Interroga origem, princípio ou aquilo de que algo procede. |
| LLULL.Q.D.COMPOSITIO | D | De quibus consistat? | Interroga constituição, composição, forma, matéria ou partes. |
| LLULL.Q.D.PERTINENTIA | D | Cuius sit? | Interroga pertença, posse, atribuição, sujeito ou domínio. |
| LLULL.Q.E.CAUSA_FORMALIS | E | Quare est? — causa formalis | Interroga a razão constitutiva pela qual a coisa é o que é. |
| LLULL.Q.E.CAUSA_FINALIS | E | Quare est? — causa finalis | Interroga fim, propósito, repouso ou razão final. |
| LLULL.Q.F.CONTINUA | F | Quantum est? — continua | Interroga extensão, continuidade, magnitude ou quantidade sustentada num sujeito. |
| LLULL.Q.F.DISCRETA | F | Quantum est? — discreta | Interroga número, pluralidade e contagem de constituintes. |
| LLULL.Q.G.PROPRIA | G | Quale est? — propria | Interroga qualidade/passio própria, potência ou ato connatural e causalidade superior. |
| LLULL.Q.G.APPROPRIATA | G | Quale est? — appropriata | Interroga qualidade/passio recebida, adquirida ou habituada e causalidade inferior. |
| LLULL.Q.K1.IN_SE | K1 | Quomodo est in se? | Interroga o modo próprio pelo qual uma coisa existe em si. |
| LLULL.Q.K1.IN_ALIO_RECIPROCUM | K1 | Quomodo est in alio et alia in ipso? | Interroga participação, inerência recíproca, aplicação e relação de continente/contido. |
| LLULL.Q.K1.TOTUM_PARTES | K1 | Quomodo est in partibus et partes in toto? | Interroga estrutura todo–partes e integração composicional. |
| LLULL.Q.K1.SIMILITUDO_AD_EXTRA | K1 | Quomodo transmittit similitudinem extra? | Interroga exteriorização, expressão, emissão, significação ou efeito externo. |
| LLULL.Q.K2.CONSTITUTIVUM | K2 | Cum quo est pars totius? | Interroga princípios, partes ou instrumentos constitutivos. |
| LLULL.Q.K2.AD_ALIA | K2 | Cum quo cognoscit vel agit ad alia? | Interroga meio ou instrumento de cognição e operação ad extra. |
| LLULL.Q.K2.UNIVERSALE_PARTICULARE | K2 | Cum quo est universale et particulare? | Interroga instrumentos universais e particulares e seu alcance. |
| LLULL.Q.K2.TRANSMISSIO | K2 | Cum quo transmittit similitudinem? | Interroga suporte, instrumento ou meio de transmissão exterior. |


### IV.2 Composite H/I generation

```text
H = Quando × {C1–C4, D1–D3, K1.1–K1.4, K2.1–K2.4} = 15
I = Ubi    × {C1–C4, D1–D3, K1.1–K1.4, K2.1–K2.4} = 15
```

| Carrier | Count | Semantic law |
|---|---|---|
| H | 15 | Temporalize the selected base species. |
| I | 15 | Localize the selected base species. |


### IV.3 Quality correction

```text
LLULL.Q.G.PROPRIA
    ≠ merely “intrinsic quality”
    = qualitas/passio propria, connatural power or act, superior causal rank

LLULL.Q.G.APPROPRIATA
    ≠ merely “external quality”
    = received/acquired/habituated quality or passio, inferior causal rank

REGULA G ≠ ARISTOTELIAN CATEGORY QUALITAS
```

## V. Universal T registry — 27 local species

| ID | Principle | Species | Source order | Analytic order | Discriminator |
|---|---|---|---|---|---|
| LLULL.T.TB.SENS_SENS | DIFFERENTIA | sensível ↔ sensível | 1 | 3 | DOMINIUM_RELATORUM |
| LLULL.T.TB.SENS_INTEL | DIFFERENTIA | sensível ↔ intelectual | 2 | 2 | DOMINIUM_RELATORUM |
| LLULL.T.TB.INTEL_INTEL | DIFFERENTIA | intelectual ↔ intelectual | 3 | 1 | DOMINIUM_RELATORUM |
| LLULL.T.TC.SENS_SENS | CONCORDANTIA | sensível ↔ sensível | 1 | 3 | DOMINIUM_RELATORUM |
| LLULL.T.TC.SENS_INTEL | CONCORDANTIA | sensível ↔ intelectual | 2 | 2 | DOMINIUM_RELATORUM |
| LLULL.T.TC.INTEL_INTEL | CONCORDANTIA | intelectual ↔ intelectual | 3 | 1 | DOMINIUM_RELATORUM |
| LLULL.T.TD.SENS_SENS | CONTRARIETAS | sensível ↔ sensível | 1 | 3 | DOMINIUM_RELATORUM |
| LLULL.T.TD.SENS_INTEL | CONTRARIETAS | sensível ↔ intelectual | 2 | 2 | DOMINIUM_RELATORUM |
| LLULL.T.TD.INTEL_INTEL | CONTRARIETAS | intelectual ↔ intelectual | 3 | 1 | DOMINIUM_RELATORUM |
| LLULL.T.TE.CAUSA | PRINCIPIUM | causa: eficiente, material, formal ou final; princípio substancial | 1 | 1 | MODUS_PRINCIPIANDI |
| LLULL.T.TE.QUANTITAS | PRINCIPIUM | quantidade como princípio acidental | 2 | 2 | MODUS_PRINCIPIANDI |
| LLULL.T.TE.TEMPUS | PRINCIPIUM | tempo como princípio acidental | 3 | 3 | MODUS_PRINCIPIANDI |
| LLULL.T.TF.CONIUNCTIO | MEDIUM | meio de conjunção | 1 | 1 | MODUS_MEDIANDI |
| LLULL.T.TF.MENSURATIO | MEDIUM | meio de medida/proporção | 2 | 2 | MODUS_MEDIANDI |
| LLULL.T.TF.INTER_EXTREMA | MEDIUM | meio entre extremos | 3 | 3 | MODUS_MEDIANDI |
| LLULL.T.TG.PRIVATIO | FINIS | fim por privação ou cessação | 1 | 3 | MODUS_TERMINANDI |
| LLULL.T.TG.TERMINATIO | FINIS | fim como limite ou termo | 2 | 2 | MODUS_TERMINANDI |
| LLULL.T.TG.PERFECTIO | FINIS | fim como perfeição ou causa final realizada | 3 | 1 | MODUS_TERMINANDI |
| LLULL.T.TH.SUB_SUB | MAIORITAS | substância ↔ substância | 1 | 1 | STATUS_ONTOLOGICUS_RELATORUM |
| LLULL.T.TH.SUB_ACC | MAIORITAS | substância ↔ acidente | 2 | 2 | STATUS_ONTOLOGICUS_RELATORUM |
| LLULL.T.TH.ACC_ACC | MAIORITAS | acidente ↔ acidente | 3 | 3 | STATUS_ONTOLOGICUS_RELATORUM |
| LLULL.T.TI.SUB_SUB | AEQUALITAS | substância ↔ substância | 1 | 1 | STATUS_ONTOLOGICUS_RELATORUM |
| LLULL.T.TI.SUB_ACC | AEQUALITAS | substância ↔ acidente | 2 | 2 | STATUS_ONTOLOGICUS_RELATORUM |
| LLULL.T.TI.ACC_ACC | AEQUALITAS | acidente ↔ acidente | 3 | 3 | STATUS_ONTOLOGICUS_RELATORUM |
| LLULL.T.TK.SUB_SUB | MINORITAS | substância ↔ substância | 1 | 1 | STATUS_ONTOLOGICUS_RELATORUM |
| LLULL.T.TK.SUB_ACC | MINORITAS | substância ↔ acidente | 2 | 2 | STATUS_ONTOLOGICUS_RELATORUM |
| LLULL.T.TK.ACC_ACC | MINORITAS | acidente ↔ acidente | 3 | 3 | STATUS_ONTOLOGICUS_RELATORUM |


The three slots are **local species**, not one uniform global hierarchy:

```text
T(BCD): domain of relata
T(EFG): modes of beginning, mediation and end
T(HIK): substance/accident status of relata
```

`source_order` and `analytic_order` remain separate. Semantic IDs, not ordinals, preserve identity.

## VI. Donatian nine-slot adaptation

| Slot | ID | Parent | Status | Definition |
|---|---|---|---|---|
| B | DON.PARS.NOMEN_SUBSTANTIVUM | DON.PARS.NOMEN | USER_AUTHORITY_ADAPTATION | AGLA subdivision of Donatus’s nomen: a nominal form taken substantivally as naming a body, thing, subject, referent or intelligible form. It is not a ninth part in Donatus. |
| C | DON.PARS.NOMEN_ADIECTIVUM | DON.PARS.NOMEN | USER_AUTHORITY_ADAPTATION | AGLA subdivision of Donatus’s nomen: a nominal form taken as determining, qualifying or contracting another nominal subject. It is not a ninth part in Donatus. |
| D | DON.PARS.PRONOMEN | — | DIRECT_DONATUS | Part of speech placed for a noun, nearly signifying as much and sometimes receiving person. |
| E | DON.PARS.VERBUM | — | DIRECT_DONATUS | Part of speech with tense and person, without case, signifying action, passion or neutral mode. |
| F | DON.PARS.ADVERBIUM | — | DIRECT_DONATUS | Part of speech added to the verb to explain and complete its signification. |
| G | DON.PARS.PARTICIPIUM | — | DIRECT_DONATUS | Part of speech taking part from noun and verb. |
| H | DON.PARS.CONIUNCTIO | — | DIRECT_DONATUS | Part of speech joining and ordering an utterance. |
| I | DON.PARS.PRAEPOSITIO | — | DIRECT_DONATUS | Part of speech placed before others to complete, alter or diminish their signification. |
| K | DON.PARS.INTERIECTIO | — | DIRECT_DONATUS | Part of speech signifying an affection of mind through an unformed voice. |


```text
DON.PARS.NOMEN
    → B  NOMEN SUBSTANTIVUM
    → C  NOMEN ADIECTIVUM
```

The split is explicit AGLA/user-authorized adaptation. Donatus still supplies eight parts, not nine.

## VII. Part-specific grammatical accidents

| Accident ID | Applies to | Value class | Values |
|---|---|---|---|
| DON.ACCIDENS.NOMEN.QUALITAS | DON.PARS.NOMEN_SUBSTANTIVUM, DON.PARS.NOMEN_ADIECTIVUM | QUALITATES | DON.VALUE.QUALITAS_NOMINIS.PROPRIUM, DON.VALUE.QUALITAS_NOMINIS.APPELLATIVUM |
| DON.ACCIDENS.NOMEN.COMPARATIO | DON.PARS.NOMEN_SUBSTANTIVUM, DON.PARS.NOMEN_ADIECTIVUM | GRADUS | DON.GRADUS.POSITIVUS, DON.GRADUS.COMPARATIVUS, DON.GRADUS.SUPERLATIVUS |
| DON.ACCIDENS.NOMEN.GENUS | DON.PARS.NOMEN_SUBSTANTIVUM, DON.PARS.NOMEN_ADIECTIVUM | GENERA | DON.GENUS.MASCULINUM, DON.GENUS.FEMININUM, DON.GENUS.NEUTRUM, DON.GENUS.COMMUNE, DON.GENUS.OMNE, DON.GENUS.EPICOENON |
| DON.ACCIDENS.NOMEN.NUMERUS | DON.PARS.NOMEN_SUBSTANTIVUM, DON.PARS.NOMEN_ADIECTIVUM | NUMERI | DON.VALUE.NUMERUS.SINGULARIS, DON.VALUE.NUMERUS.PLURALIS |
| DON.ACCIDENS.NOMEN.FIGURA | DON.PARS.NOMEN_SUBSTANTIVUM, DON.PARS.NOMEN_ADIECTIVUM | FIGURAE | DON.VALUE.FIGURA.SIMPLEX, DON.VALUE.FIGURA.COMPOSITA |
| DON.ACCIDENS.NOMEN.CASUS | DON.PARS.NOMEN_SUBSTANTIVUM, DON.PARS.NOMEN_ADIECTIVUM | CASUS | DON.VALUE.CASUS.NOMINATIVUS, DON.VALUE.CASUS.GENETIVUS, DON.VALUE.CASUS.DATIVUS, DON.VALUE.CASUS.ACCUSATIVUS, DON.VALUE.CASUS.VOCATIVUS, DON.VALUE.CASUS.ABLATIVUS |
| DON.ACCIDENS.PRONOMEN.QUALITAS | DON.PARS.PRONOMEN | QUALITATES | DON.VALUE.QUALITAS_PRONOMINIS.FINITA, DON.VALUE.QUALITAS_PRONOMINIS.INFINITA |
| DON.ACCIDENS.PRONOMEN.GENUS | DON.PARS.PRONOMEN | GENERA | DON.GENUS.MASCULINUM, DON.GENUS.FEMININUM, DON.GENUS.NEUTRUM, DON.GENUS.COMMUNE, DON.GENUS.OMNE |
| DON.ACCIDENS.PRONOMEN.NUMERUS | DON.PARS.PRONOMEN | NUMERI | DON.VALUE.NUMERUS.SINGULARIS, DON.VALUE.NUMERUS.PLURALIS |
| DON.ACCIDENS.PRONOMEN.FIGURA | DON.PARS.PRONOMEN | FIGURAE | DON.VALUE.FIGURA.SIMPLEX, DON.VALUE.FIGURA.COMPOSITA |
| DON.ACCIDENS.PRONOMEN.PERSONA | DON.PARS.PRONOMEN | PERSONAE | DON.VALUE.PERSONA.PRIMA, DON.VALUE.PERSONA.SECUNDA, DON.VALUE.PERSONA.TERTIA |
| DON.ACCIDENS.PRONOMEN.CASUS | DON.PARS.PRONOMEN | CASUS | DON.VALUE.CASUS.NOMINATIVUS, DON.VALUE.CASUS.GENETIVUS, DON.VALUE.CASUS.DATIVUS, DON.VALUE.CASUS.ACCUSATIVUS, DON.VALUE.CASUS.VOCATIVUS, DON.VALUE.CASUS.ABLATIVUS |
| DON.ACCIDENS.VERBUM.QUALITAS | DON.PARS.VERBUM | MODI_ET_FORMAE | DON.VALUE.MODUS.INDICATIVUS, DON.VALUE.MODUS.IMPERATIVUS, DON.VALUE.MODUS.OPTATIVUS, DON.VALUE.MODUS.CONIUNCTIVUS, DON.VALUE.MODUS.INFINITIVUS, DON.VALUE.MODUS.IMPERSONALIS, DON.VALUE.FORMA.PERFECTA, DON.VALUE.FORMA.MEDITATIVA, DON.VALUE.FORMA.FREQUENTATIVA, DON.VALUE.FORMA.INCHOATIVA |
| DON.ACCIDENS.VERBUM.CONIUGATIO | DON.PARS.VERBUM | CONIUGATIONES | DON.VALUE.CONIUGATIO.PRIMA, DON.VALUE.CONIUGATIO.SECUNDA, DON.VALUE.CONIUGATIO.TERTIA |
| DON.ACCIDENS.VERBUM.GENUS | DON.PARS.VERBUM | GENERA_VERBI | DON.VALUE.GENUS_VERBI.ACTIVUM, DON.VALUE.GENUS_VERBI.PASSIVUM, DON.VALUE.GENUS_VERBI.NEUTRUM, DON.VALUE.GENUS_VERBI.DEPONENS, DON.VALUE.GENUS_VERBI.COMMUNE |
| DON.ACCIDENS.VERBUM.NUMERUS | DON.PARS.VERBUM | NUMERI | DON.VALUE.NUMERUS.SINGULARIS, DON.VALUE.NUMERUS.PLURALIS |
| DON.ACCIDENS.VERBUM.FIGURA | DON.PARS.VERBUM | FIGURAE | DON.VALUE.FIGURA.SIMPLEX, DON.VALUE.FIGURA.COMPOSITA |
| DON.ACCIDENS.VERBUM.TEMPUS | DON.PARS.VERBUM | TEMPORA | DON.VALUE.TEMPUS.PRAESENS, DON.VALUE.TEMPUS.PRAETERITUM, DON.VALUE.TEMPUS.FUTURUM |
| DON.ACCIDENS.VERBUM.PERSONA | DON.PARS.VERBUM | PERSONAE | DON.VALUE.PERSONA.PRIMA, DON.VALUE.PERSONA.SECUNDA, DON.VALUE.PERSONA.TERTIA |
| DON.ACCIDENS.ADVERBIUM.SIGNIFICATIO | DON.PARS.ADVERBIUM | SIGNIFICATIONES | DON.VALUE.ADVERBIUM.SIGNIFICATIO.LOCUS, DON.VALUE.ADVERBIUM.SIGNIFICATIO.TEMPUS, DON.VALUE.ADVERBIUM.SIGNIFICATIO.NUMERUS, DON.VALUE.ADVERBIUM.SIGNIFICATIO.NEGATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.AFFIRMATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.DEMONSTRATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.OPTATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.HORTATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.ORDO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.INTERROGATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.SIMILITUDO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.QUALITAS, DON.VALUE.ADVERBIUM.SIGNIFICATIO.QUANTITAS, DON.VALUE.ADVERBIUM.SIGNIFICATIO.DUBITATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.PERSONA, DON.VALUE.ADVERBIUM.SIGNIFICATIO.VOCATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.RESPONSIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.SEPARATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.IURATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.ELECTIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.CONGREGATIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.PROHIBITIO, DON.VALUE.ADVERBIUM.SIGNIFICATIO.EVENTUS, DON.VALUE.ADVERBIUM.SIGNIFICATIO.COMPARATIO |
| DON.ACCIDENS.ADVERBIUM.COMPARATIO | DON.PARS.ADVERBIUM | GRADUS | DON.GRADUS.POSITIVUS, DON.GRADUS.COMPARATIVUS, DON.GRADUS.SUPERLATIVUS |
| DON.ACCIDENS.ADVERBIUM.FIGURA | DON.PARS.ADVERBIUM | FIGURAE | DON.VALUE.FIGURA.SIMPLEX, DON.VALUE.FIGURA.COMPOSITA |
| DON.ACCIDENS.PARTICIPIUM.GENUS | DON.PARS.PARTICIPIUM | GENERA | DON.GENUS.MASCULINUM, DON.GENUS.FEMININUM, DON.GENUS.NEUTRUM, DON.GENUS.COMMUNE |
| DON.ACCIDENS.PARTICIPIUM.CASUS | DON.PARS.PARTICIPIUM | CASUS | DON.VALUE.CASUS.NOMINATIVUS, DON.VALUE.CASUS.GENETIVUS, DON.VALUE.CASUS.DATIVUS, DON.VALUE.CASUS.ACCUSATIVUS, DON.VALUE.CASUS.VOCATIVUS, DON.VALUE.CASUS.ABLATIVUS |
| DON.ACCIDENS.PARTICIPIUM.TEMPUS | DON.PARS.PARTICIPIUM | TEMPORA | DON.VALUE.TEMPUS.PRAESENS, DON.VALUE.TEMPUS.PRAETERITUM, DON.VALUE.TEMPUS.FUTURUM |
| DON.ACCIDENS.PARTICIPIUM.SIGNIFICATIO | DON.PARS.PARTICIPIUM | SIGNIFICATIONES | DON.VALUE.PARTICIPIUM.SIGNIFICATIO.ACTIVA, DON.VALUE.PARTICIPIUM.SIGNIFICATIO.PASSIVA, DON.VALUE.PARTICIPIUM.SIGNIFICATIO.NEUTRA, DON.VALUE.PARTICIPIUM.SIGNIFICATIO.DEPONENS, DON.VALUE.PARTICIPIUM.SIGNIFICATIO.COMMUNIS |
| DON.ACCIDENS.PARTICIPIUM.NUMERUS | DON.PARS.PARTICIPIUM | NUMERI | DON.VALUE.NUMERUS.SINGULARIS, DON.VALUE.NUMERUS.PLURALIS |
| DON.ACCIDENS.PARTICIPIUM.FIGURA | DON.PARS.PARTICIPIUM | FIGURAE | DON.VALUE.FIGURA.SIMPLEX, DON.VALUE.FIGURA.COMPOSITA |
| DON.ACCIDENS.CONIUNCTIO.POTESTAS | DON.PARS.CONIUNCTIO | POTESTATES | DON.VALUE.CONIUNCTIO.POTESTAS.COPULATIVA, DON.VALUE.CONIUNCTIO.POTESTAS.DISIUNCTIVA, DON.VALUE.CONIUNCTIO.POTESTAS.EXPLETIVA, DON.VALUE.CONIUNCTIO.POTESTAS.CAUSALIS, DON.VALUE.CONIUNCTIO.POTESTAS.RATIONALIS |
| DON.ACCIDENS.CONIUNCTIO.FIGURA | DON.PARS.CONIUNCTIO | FIGURAE | DON.VALUE.FIGURA.SIMPLEX, DON.VALUE.FIGURA.COMPOSITA |
| DON.ACCIDENS.CONIUNCTIO.ORDO | DON.PARS.CONIUNCTIO | ORDINES | DON.VALUE.CONIUNCTIO.ORDO.PRAEPOSITIVUS, DON.VALUE.CONIUNCTIO.ORDO.SUBIUNCTIVUS, DON.VALUE.CONIUNCTIO.ORDO.COMMUNIS |
| DON.ACCIDENS.PRAEPOSITIO.CASUS | DON.PARS.PRAEPOSITIO | CASUS | DON.VALUE.PRAEPOSITIO.CASUS.ACCUSATIVUS, DON.VALUE.PRAEPOSITIO.CASUS.ABLATIVUS, DON.VALUE.PRAEPOSITIO.CASUS.UTERQUE |
| DON.ACCIDENS.INTERIECTIO.SIGNIFICATIO | DON.PARS.INTERIECTIO | SIGNIFICATIONES | DON.VALUE.INTERIECTIO.SIGNIFICATIO.LAETITIA, DON.VALUE.INTERIECTIO.SIGNIFICATIO.DOLOR, DON.VALUE.INTERIECTIO.SIGNIFICATIO.ADMIRATIO, DON.VALUE.INTERIECTIO.SIGNIFICATIO.TIMOR |


### VII.1 Dependency graph

- **DON.DEP.COMPARATIO_ADMISSIBILITY** — IF `['DON.ACCIDENS.NOMEN.QUALITAS=APPELLATIVUM', 'SIGNIFICATIO∈{QUALITAS,QUANTITAS}']` → `DON.ACCIDENS.NOMEN.COMPARATIO=ADMISSIBLE` (DIRECT_DONATUS).
- **DON.DEP.COMPARATIVUS_ABLATIVE** — IF `['DON.GRADUS.COMPARATIVUS']` → `COMPLEMENT_CASE=ABLATIVUS_SINE_PRAEPOSITIONE` (DIRECT_DONATUS).
- **DON.DEP.SUPERLATIVUS_GENITIVE** — IF `['DON.GRADUS.SUPERLATIVUS']` → `COMPARISON_DOMAIN=GENETIVUS_PLURALIS` (DIRECT_DONATUS).
- **DON.DEP.AGREEMENT** — IF `['TWO_OR_MORE_AGREEING_NOMINAL_FORMS']` → `MATCH(GENUS,NUMERUS,CASUS)` (STRUCTURAL_DERIVATION).
- **DON.DEP.PREPOSITION_GOVERNMENT** — IF `['DON.PARS.PRAEPOSITIO']` → `GOVERNS(CASUS)` (DIRECT_DONATUS).
- **DON.DEP.PARTICIPLE_INHERITANCE** — IF `['DON.PARS.PARTICIPIUM']` → `['FROM_NOMEN: GENUS,CASUS', 'FROM_VERBUM: TEMPUS,SIGNIFICATIO', 'FROM_BOTH: NUMERUS,FIGURA']` (DIRECT_DONATUS).


The accidents are not six free columns. They form conditional structures. Comparison depends on appellative status and qualitative/quantitative signification; comparative and superlative degrees impose case-government constraints.

## VIII. Llull’s explicit grammatical applications

| Object | Target(s) | Status | Rationale |
|---|---|---|---|
| DON.PARS.NOMEN | LLULL.PRINCIPIA | DIRECT_LLULL_AGU_ARTICLE_88 | Goodness, greatness and other principles are nouns. |
| DON.PARS.PRONOMEN | LLULL.PRINCIPIA | DIRECT_LLULL_AGU_ARTICLE_88 | Pronouns stand for nouns; the principles are nouns. |
| DON.PARS.VERBUM | LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_LLULL_AGU_ARTICLE_88 | Verbs signify act, illustrated by bonificare and magnificare. |
| DON.PARS.PARTICIPIUM | LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_LLULL_AGU_ARTICLE_88 | Participles expose active and passive correlatives: bonificans/bonificatum. |
| DON.PARS.CONIUNCTIO | LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_LLULL_AGU_ARTICLE_88 | The act joins agent and patient as conjunction joins diverse words or phrases. |
| DON.PARS.ADVERBIUM | LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_LLULL_AGU_ARTICLE_88 | The adverb qualifies the act: bonificans bene bonificat bonificatum. |
| DON.PARS.PRAEPOSITIO | LLULL.Q.C.QUID_HABEAT_IN_ALIO, LLULL.Q.K2.AD_ALIA | DIRECT_LLULL_AGU_ARTICLE_88 | The preposition is an instrument bringing a case into act. |
| DON.PARS.INTERIECTIO | LLULL.A.VOLUNTAS | DIRECT_LLULL_AGU_ARTICLE_88 | Joy and sadness are primarily expressed by will. |
| DON.VALUE.CASUS.NOMINATIVUS | LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_LLULL_AGU_ARTICLE_88 | Mapped to the active correlative/originating bonifier. |
| DON.VALUE.CASUS.GENETIVUS | LLULL.Q.C.COESSENTIALIA_IN_SE, LLULL.Q.D.PERTINENTIA | DIRECT_LLULL_AGU_ARTICLE_88 | Dependency on nominative and possession. |
| DON.VALUE.CASUS.DATIVUS | LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_LLULL_AGU_ARTICLE_88 | Mapped to the generated passive correlative / recipient. |
| DON.VALUE.CASUS.ACCUSATIVUS | LLULL.Q.C.QUID_SIT_IN_ALIO | DIRECT_LLULL_AGU_ARTICLE_88 | The agent’s act terminates in its passive object. |
| DON.VALUE.CASUS.VOCATIVUS | LLULL.Q.C.QUID_HABEAT_IN_ALIO, LLULL.Q.B.AFFIRMATIO | DIRECT_LLULL_AGU_ARTICLE_88 | Calling takes an object; rule B is also applicable. |
| DON.VALUE.CASUS.ABLATIVUS | LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_LLULL_AGU_ARTICLE_88 | Mapped to the original causal essence of correlatives. |
| LLULL.GRAM.MODUS.CONIUGATIO | LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_LLULL_AGU_ARTICLE_88 | Conjugated forms descend from a principle across person, tense and mood. |
| LLULL.GRAM.MODUS.DECLINATIO | LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_LLULL_AGU_ARTICLE_88 | Cases descend from an originating form as correlatives descend from their source. |
| LLULL.GRAM.MODUS.GENUS | LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_LLULL_AGU_ARTICLE_88 | Masculine, feminine and neuter are analogized to agent, patient and act. |
| LLULL.GRAM.MODUS.REGIMEN | LLULL.T.TH.SUB_SUB, LLULL.T.TH.SUB_ACC, LLULL.T.TK.SUB_SUB, LLULL.T.TK.SUB_ACC | DIRECT_LLULL_AGU_ARTICLE_88 | Governance is expressed through greater power/virtue in governor and lesser in governed. |
| LLULL.GRAM.MODUS.CONSTRUCTIO | LLULL.T.TE.CAUSA, LLULL.T.TF.CONIUNCTIO, LLULL.T.TG.PERFECTIO | DIRECT_LLULL_AGU_ARTICLE_88 | Construction follows due order of beginning, middle and end. |
| LLULL.GRAM.MODUS.ORTHOGRAPHIA | LLULL.Q.K1.IN_SE, LLULL.Q.K1.IN_ALIO_RECIPROCUM, LLULL.Q.K1.TOTUM_PARTES, LLULL.Q.K1.SIMILITUDO_AD_EXTRA | DIRECT_LLULL_AGU_ARTICLE_88 | Spelling is mapped to all four species of modality. |
| LLULL.GRAM.MODUS.FIGURAE | LLULL.T.TC.INTEL_INTEL, LLULL.T.TD.INTEL_INTEL | DIRECT_LLULL_AGU_ARTICLE_88 | Figures of speech are judged by concordance or contrariety with grammar. |


This direct block is decisive: the specialized Trivium projections do not need to force a same-letter diagonal. Llull himself concentrates verb, participle, conjunction and adverb in `C2`, maps preposition to `C4 + K2`, and gives case/conjugation/declension/gender/government/construction/spelling/figures their own species-level applications.

## IX. Specialized Q profile — grammatical layer

### B — Nomen substantivum

| Q species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.Q.C.QUID_SIT | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Defines the nominally posited subject or form. |
| LLULL.Q.C.COESSENTIALIA_IN_SE | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Interrogates the constitution of what the substantive names. |
| LLULL.Q.B.AFFIRMATIO | MNEMONIC_DIAGONAL | USER_AUTHORITY | A substantive can serve as the first nominal posit whose being/admissibility is tested; not its exhaustive definition. |


### C — Nomen adiectivum

| Q species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.Q.C.QUID_SIT | PRIMARY_STRUCTURAL | USER_AUTHORITY_PLUS_DERIVATION | Interrogates the universal or intelligible form signified by the adjective. |
| LLULL.Q.C.QUID_SIT_IN_ALIO | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Interrogates the form as contracted/predicated in a subject. |
| LLULL.Q.C.QUID_HABEAT_IN_ALIO | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Interrogates operations or properties of the form in the subject. |
| LLULL.Q.G.PROPRIA | DIAGNOSTIC | STRUCTURAL_DERIVATION | Discriminates whether attribution is proper. |
| LLULL.Q.G.APPROPRIATA | DIAGNOSTIC | STRUCTURAL_DERIVATION | Discriminates whether attribution is appropriated/acquired. |


### D — Pronomen

| Q species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.Q.D.PERTINENTIA | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Anchors reference, antecedent, person and belonging. |
| LLULL.Q.C.QUID_SIT_IN_ALIO | SECONDARY_FUNCTIONAL | STRUCTURAL_DERIVATION | Tracks the same nominal content under another expression/context. |


### E — Verbum

| Q species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_TEXT | DIRECT_LLULL_AGU_ARTICLE_88 | Verb signifies the correlative act. |
| LLULL.Q.C.QUID_HABEAT_IN_ALIO | SECONDARY_FUNCTIONAL | STRUCTURAL_DERIVATION | Interrogates the act as operating in another. |
| LLULL.Q.H.C.COESSENTIALIA_IN_SE | CONDITIONAL | STRUCTURAL_DERIVATION | Temporalizes the verbal act. |
| LLULL.Q.E.CAUSA_FINALIS | CONDITIONAL | STRUCTURAL_DERIVATION | Interrogates the end of the act; verb is not identical with Quare. |


### F — Adverbium

| Q species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_TEXT | DIRECT_LLULL_AGU_ARTICLE_88 | Adverb qualifies how the correlative act is carried out. |
| LLULL.Q.F.CONTINUA | CONDITIONAL | STRUCTURAL_DERIVATION | Activated for degree, extension or intensity adverbs. |
| LLULL.Q.F.DISCRETA | CONDITIONAL | STRUCTURAL_DERIVATION | Activated for number/count adverbs. |
| LLULL.Q.G.PROPRIA | CONDITIONAL | STRUCTURAL_DERIVATION | Activated for qualitative adverbs. |
| LLULL.Q.H.C.QUID_SIT_IN_ALIO | CONDITIONAL | STRUCTURAL_DERIVATION | Activated for temporal adverbs. |
| LLULL.Q.I.C.QUID_SIT_IN_ALIO | CONDITIONAL | STRUCTURAL_DERIVATION | Activated for locative adverbs. |
| LLULL.Q.K1.IN_SE | CONDITIONAL | STRUCTURAL_DERIVATION | Activated for modal adverbs. |


### G — Participium

| Q species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_TEXT | DIRECT_LLULL_AGU_ARTICLE_88 | Participles signify active/passive correlatives. |
| LLULL.Q.G.PROPRIA | SECONDARY_FUNCTIONAL | STRUCTURAL_DERIVATION | Tests act/state as proper quality. |
| LLULL.Q.G.APPROPRIATA | SECONDARY_FUNCTIONAL | STRUCTURAL_DERIVATION | Tests received/acquired state. |
| LLULL.Q.H.C.COESSENTIALIA_IN_SE | SECONDARY_FUNCTIONAL | STRUCTURAL_DERIVATION | Temporal/aspectual qualification. |


### H — Coniunctio

| Q species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.Q.C.COESSENTIALIA_IN_SE | DIRECT_TEXT | DIRECT_LLULL_AGU_ARTICLE_88 | Conjunction analogized to the act joining agent and patient. |


### I — Praepositio

| Q species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.Q.C.QUID_HABEAT_IN_ALIO | DIRECT_TEXT | DIRECT_LLULL_AGU_ARTICLE_88 | Preposition brings a case into act in another construction. |
| LLULL.Q.K2.AD_ALIA | DIRECT_TEXT | DIRECT_LLULL_AGU_ARTICLE_88 | Preposition is treated as an instrument. |
| LLULL.Q.I.C.QUID_SIT_IN_ALIO | CONDITIONAL | STRUCTURAL_DERIVATION | Activated for locative/directional prepositions. |


### K — Interiectio

| Q species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.Q.K1.SIMILITUDO_AD_EXTRA | SECONDARY_FUNCTIONAL | STRUCTURAL_DERIVATION | Externalizes an internal affection. |
| LLULL.Q.G.PROPRIA | CONDITIONAL | STRUCTURAL_DERIVATION | Tests whether expressed affect is proper. |
| LLULL.Q.G.APPROPRIATA | CONDITIONAL | STRUCTURAL_DERIVATION | Tests whether expressed affect is appropriated/acquired. |



`Q_TRIVIUM` stores entry points and conditions. It does not cancel full `×Q` traversal.

## X. Specialized T profile — grammatical layer

### B — Nomen substantivum

| T species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.T.TB.INTEL_INTEL | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Distinguishes nominal classes/forms at the intelligible level. |
| LLULL.T.TC.INTEL_INTEL | SECONDARY_FUNCTIONAL | STRUCTURAL_DERIVATION | Concordance among nominal concepts under a shared ratio. |


### C — Nomen adiectivum

| T species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.T.TB.SENS_INTEL | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Distinguishes adjective-as-form from its sensible token or subject instantiation. |
| LLULL.T.TC.SENS_INTEL | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Concordance between intelligible quality/form and concrete bearer. |
| LLULL.T.TH.SUB_ACC | CONDITIONAL | STRUCTURAL_DERIVATION | Compares substance and attributed accident under a declared respectus. |


### D — Pronomen

| T species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.T.TB.SENS_INTEL | SECONDARY_FUNCTIONAL | STRUCTURAL_DERIVATION | Type/reference versus token occurrence. |


### E — Verbum

| T species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.T.TE.CAUSA | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Action begins from causal principle. |
| LLULL.T.TF.MENSURATIO | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Act mediates and measures agent/object or patient. |
| LLULL.T.TG.PERFECTIO | CONDITIONAL | STRUCTURAL_DERIVATION | Act reaches its intended completion. |
| LLULL.T.TG.TERMINATIO | CONDITIONAL | STRUCTURAL_DERIVATION | Act terminates without implying perfection. |
| LLULL.T.TG.PRIVATIO | CONDITIONAL | STRUCTURAL_DERIVATION | Act ceases or fails by privation. |


### F — Adverbium

| T species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.T.TF.MENSURATIO | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Adverb commonly measures degree or manner of act. |
| LLULL.T.TE.QUANTITAS | CONDITIONAL | STRUCTURAL_DERIVATION | Quantity/degree adverbs. |
| LLULL.T.TE.TEMPUS | CONDITIONAL | STRUCTURAL_DERIVATION | Temporal adverbs. |


### G — Participium

| T species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.T.TF.CONIUNCTIO | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Participates in noun and verb, binding agent/patient to act. |
| LLULL.T.TF.MENSURATIO | SECONDARY_FUNCTIONAL | STRUCTURAL_DERIVATION | Positions agent/patient under the measured act. |
| LLULL.T.TG.TERMINATIO | CONDITIONAL | STRUCTURAL_DERIVATION | Resultative/terminative participial state. |


### H — Coniunctio

| T species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.T.TF.CONIUNCTIO | PRIMARY_STRUCTURAL | DIRECT_LLULLIAN_FUNCTIONAL_CONVERGENCE | Direct function-level convergence: joining diverse terms into one construction. |
| LLULL.T.TC.SENS_SENS | SECONDARY_FUNCTIONAL | STRUCTURAL_DERIVATION | Concrete words/clauses concord in an utterance. |


### I — Praepositio

| T species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.T.TF.CONIUNCTIO | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Links governed terms. |
| LLULL.T.TF.INTER_EXTREMA | PRIMARY_STRUCTURAL | STRUCTURAL_DERIVATION | Expresses position, direction or interval between terms. |


### K — Interiectio

| T species | Affinity | Status | Rationale |
|---|---|---|---|
| LLULL.T.TE.TEMPUS | CONDITIONAL | STRUCTURAL_DERIVATION | Occasion of affective emission. |
| LLULL.T.TH.ACC_ACC | CONDITIONAL | STRUCTURAL_DERIVATION | Compares intensity of affective accidents. |



T resolution always requires:

```text
RELATUM_1
RELATUM_2
RELATIO CANDIDATE
LOCAL SPECIES
DIRECTION
RESPECTUS
```

A grammatical accident never determines the ontological species by itself.

## XI. Aristotle — canonical registry and experimental wheel


### XI.1 Canonical ten-category registry

| Order | ID | Label | Definition |
|---|---|---|---|
| 1 | ARIST.PRAEDICAMENTUM.SUBSTANTIA | Substantia | What is primarily said to be this thing; bearer not present in a subject in the same way as accidents. |
| 2 | ARIST.PRAEDICAMENTUM.QUANTITAS | Quantitas | How much; continuous or discrete magnitude/number. |
| 3 | ARIST.PRAEDICAMENTUM.QUALITAS | Qualitas | What kind; a category of qualification. |
| 4 | ARIST.PRAEDICAMENTUM.RELATIO | Relatio | What is said with reference to another. |
| 5 | ARIST.PRAEDICAMENTUM.UBI | Ubi / Locus | Where. |
| 6 | ARIST.PRAEDICAMENTUM.QUANDO | Quando / Tempus | When. |
| 7 | ARIST.PRAEDICAMENTUM.SITUS | Situs / Positio | Position or posture. |
| 8 | ARIST.PRAEDICAMENTUM.HABERE | Habere / Habitus | State of having or being equipped/disposed. |
| 9 | ARIST.PRAEDICAMENTUM.ACTIO | Actio | Doing or acting. |
| 10 | ARIST.PRAEDICAMENTUM.PASSIO | Passio | Being affected or acted upon. |


### XI.2 User-authorized nine-slot candidate

| Placement | Object | Status | Note |
|---|---|---|---|
| PRE | ARIST.PRAEDICAMENTUM.SUBSTANTIA | USER_AUTHORITY_STRUCTURAL_CANDIDATE | Substance is the bearer/reference field. |
| B | TRIV.LOG.GATE.ACCIDENTALITAS_INHAERENTIA | EXPERIMENTAL_NON_PRAEDICAMENT | Admission gate asking whether/how an accident inheres; not one of Aristotle’s ten categories. |
| C | ARIST.PRAEDICAMENTUM.HABERE | EXPERIMENTAL_REORDERING | Habitus/Habere. |
| D | ARIST.PRAEDICAMENTUM.SITUS | EXPERIMENTAL_REORDERING | Position. |
| E | ARIST.PRAEDICAMENTUM.ACTIO | EXPERIMENTAL_REORDERING | Action. |
| F | ARIST.PRAEDICAMENTUM.QUANTITAS | STRONG_DIAGONAL | Quantity. |
| G | ARIST.PRAEDICAMENTUM.QUALITAS | STRONG_DIAGONAL_NON_IDENTITY | Category Qualitas is not universal regula QG. |
| H | ARIST.PRAEDICAMENTUM.QUANDO | STRONG_DIAGONAL | Time. |
| I | ARIST.PRAEDICAMENTUM.UBI | STRONG_DIAGONAL | Place. |
| K | ARIST.PRAEDICAMENTUM.PASSIO | STRUCTURAL_POLARITY | Patient/passive pole; not identical with QK or TK. |
| T_CENTER | ARIST.PRAEDICAMENTUM.RELATIO | DELEGATED_TO_META_RELATIONAL_REGIME | Aristotelian relation is analyzed through T but is not identical with Regimen T. |


The candidate wheel is a structural experiment, not Aristotle’s historical order. It preserves the ten-category registry separately so the experiment remains reversible.

## XII. Porphyry as logical medium

| ID | Definition | Q profile | T profile |
|---|---|---|---|
| PORPH.PRAEDICABILE.GENUS | Predicated of many differing in species in answer to what a thing is. | LLULL.Q.C.QUID_SIT, LLULL.Q.C.QUID_SIT_IN_ALIO, LLULL.Q.F.DISCRETA | LLULL.T.TB.INTEL_INTEL, LLULL.T.TC.INTEL_INTEL |
| PORPH.PRAEDICABILE.SPECIES | Predicated of many differing in number in answer to what a thing is. | LLULL.Q.C.QUID_SIT, LLULL.Q.C.QUID_SIT_IN_ALIO, LLULL.Q.F.DISCRETA | LLULL.T.TB.INTEL_INTEL, LLULL.T.TC.INTEL_INTEL |
| PORPH.PRAEDICABILE.DIFFERENTIA | Predicated of many differing in species in answer to what kind; specific difference contributes to essence. | LLULL.Q.C.QUID_SIT, LLULL.Q.G.PROPRIA | LLULL.T.TB.INTEL_INTEL |
| PORPH.PRAEDICABILE.PROPRIUM | In the strict sense, predicated of one species alone, of every individual and always, reciprocally. | LLULL.Q.G.PROPRIA, LLULL.Q.C.QUID_SIT_IN_ALIO, LLULL.Q.C.QUID_HABEAT_IN_ALIO | LLULL.T.TC.INTEL_INTEL, LLULL.T.TI.ACC_ACC |
| PORPH.PRAEDICABILE.ACCIDENS | Can be present or absent without destruction of the subject; separable or inseparable. | LLULL.Q.G.APPROPRIATA, LLULL.Q.C.QUID_SIT_IN_ALIO, LLULL.Q.C.QUID_HABEAT_IN_ALIO, LLULL.Q.D.PERTINENTIA | LLULL.T.TH.SUB_ACC, LLULL.T.TI.SUB_ACC, LLULL.T.TK.SUB_ACC |


Porphyry is not a fourth art of the Trivium. The predicables mediate between grammatical expression and categorial predication:

```text
FORM OF EXPRESSION
    → MODE OF PREDICATION
    → CATEGORY OF WHAT IS PREDICATED
```

## XIII. Cross-domain T(BCD) matrix

| Record | Left | Right | Relation | Differentia | Concordantia | Contrariety condition |
|---|---|---|---|---|---|---|
| TRIV.CROSS.QUALITAS.DON_ARIST | DON.ACCIDENS.NOMEN.QUALITAS | ARIST.PRAEDICAMENTUM.QUALITAS | TB | Donatian qualitas distinguishes proprium/appellativum; Aristotelian qualitas is a category of qualification. | Both classify a way in which a term or bearer is qualified only under explicit mediation. | Collapsing the two produces false lexical-to-ontological inference. |
| TRIV.CROSS.GENUS.DON_PORPH | DON.ACCIDENS.NOMEN.GENUS | PORPH.PRAEDICABILE.GENUS | TB | Grammatical gender versus predicable genus. | Both partition forms under rules, but on different objects and for different ends. | Treating masculine/feminine/neuter as Porphyrian genera. |
| TRIV.CROSS.ACCIDENS.DON_ARIST | DON.ACCIDENS | ARIST.ACCIDENS | TB | A grammatical accident is an analysis axis of a part of speech; an ontological accident inheres in a subject. | Both express determinations of a carrier without replacing its class/subject. | Inferring ontological accidentality from mere inflection. |
| TRIV.CROSS.ACCIDENS.DON_PORPH | DON.ACCIDENS | PORPH.PRAEDICABILE.ACCIDENS | TB | Part-specific grammatical feature versus contingent predicable. | Both can vary without changing the higher class under declared conditions. | Using grammatical optionality as proof of Porphyrian accident. |
| TRIV.CROSS.ADIECTIVUM_QUALITAS | DON.PARS.NOMEN_ADIECTIVUM | ARIST.PRAEDICAMENTUM.QUALITAS | TB_TC | A grammatical class is not an ontological category. | An adjective can signify a quality in a particular predication. | Claiming every adjective is categorial quality or every quality is adjectival. |
| TRIV.CROSS.ADIECTIVUM_PROPRIUM | DON.PARS.NOMEN_ADIECTIVUM | PORPH.PRAEDICABILE.PROPRIUM | TB_TC | Adjective is a form class; proprium is a logical relation of predicate to species. | An adjective may express a proprium in a proposition. | Reading adjective form as sufficient evidence of proprium. |
| TRIV.CROSS.ADIECTIVUM_ACCIDENT | DON.PARS.NOMEN_ADIECTIVUM | PORPH.PRAEDICABILE.ACCIDENS | TB_TC | Adjective is grammatical; accident is predicable status. | An adjective may express an accidental predicate. | Assuming all adjectives are accidents. |
| TRIV.CROSS.COMPARATIO_T | DON.ACCIDENS.NOMEN.COMPARATIO | LLULL.T.HIK | TC | Donatian degree is morphology/grammar; HIK are universal relative operators resolved by relata. | Comparative constructions commonly instantiate maioritas/minoritas through TF.MENSURATIO. | Equating positive with equality, comparative with majority, or superlative with perfection. |
| TRIV.CROSS.CASUS_RELATIO | DON.ACCIDENS.NOMEN.CASUS | ARIST.PRAEDICAMENTUM.RELATIO | TB_TC | Case marks grammatical role; relation is an ontological category. | Case can linguistically express a relation. | Treating case morphology as the relation itself. |
| TRIV.CROSS.VERBUM_ACTIO | DON.PARS.VERBUM | ARIST.PRAEDICAMENTUM.ACTIO | TB_TC | Verb is a part of speech; actio is a category. | A verb may signify action. | Ignoring verbs of state/passion or actions expressed nominally. |
| TRIV.CROSS.PARTICIPIUM_PASSIO | DON.PARS.PARTICIPIUM | ARIST.PRAEDICAMENTUM.PASSIO | TB_TC | Participle is a hybrid grammatical class; passio is a category. | A passive participle may signify being affected. | Equating all participles with passion. |
| TRIV.CROSS.SUBSTANCE_GENUS | ARIST.PRAEDICAMENTUM.SUBSTANTIA | PORPH.PRAEDICABILE.GENUS | TC | Substance is a category; genus is a predicable relation. | Substance can function as the highest genus in the logical ladder described by Llull. | Treating the predicable genus as itself a substance. |
| TRIV.CROSS.TOKEN_TYPE | TRIV.GRAM.TYPE | TRIV.GRAM.TOKEN | TB_TC | Class/value is intelligible; token is a sensible occurrence. | The token instantiates or realizes the class under a binding. | Treating token irregularity as automatic destruction of class definition. |


The core matrix unit is not equivalence. It is:

```text
QUALIFIED RELATION
    + LEVEL
    + RESPECTUS
    + CONDITIONS
    + NON-EQUIVALENCE
    + PROVENANCE
```

## XIV. Reserved rhetorical port

**Status:** `RESERVED`

```text
SOURCE_ANCHOR_STATUS: SOURCE_ANCHORED_FUNCTIONS_AVAILABLE
CARRIER_STATUS: CARRIERS_UNRESOLVED
EXECUTION_STATUS: CARRIER_DEPENDENT_EXECUTION_DEFERRED
```


Source-bound functions already available:

- speech colored/adorned according to purpose, audience, vocation and subject matter
- positive/comparative/superlative gradation
- noun–adjective coloring
- matter–form articulation
- beginning–middle–end disposition
- substantial/necessary versus accidental/contingent emphasis
- possibility/impossibility and other rule-mediated contrasts
- proverb/example application


Future source-bound requirements:

- source-bound rhetorical carrier registry
- rhetorical accident/operation profiles
- Q_RHET specialization
- T_RHET resolver
- T(BCD) cross-art relations at sentence/discourse level


**Prohibition:** No complete rhetorical carrier wheel may be inferred in G1–G5.

## XV. Machine-facing record structure


The JSON companion contains:

```text
source_ledger
namespace_registry
q_species[54]
t_species[27]
donatian_parent_classes
donatian_parts[9]
donatian_accidents
donatian_values
llullian_grammar_modes
auxiliary_objects
donatian_dependencies
llullian_grammar_applications
q_affinity_records
t_affinity_records
aristotelian_categories[10]
aristotelian_candidate_wheel
porphyrian_predicables[5]
cross_domain_t_bcd_records
rhetoric_port
unresolved
```

## XVI. Validation results

| Check | Result |
|---|---|
| Q species count | PASS — 54 |
| T species count | PASS — 27 |
| Donatian slots | PASS — 9 with parent NOMEN preserved |
| Donatian accident packages | PASS — part-specific, not globally flattened |
| Donatian value registry | PASS — 91 namespaced values |
| Auxiliary object references | PASS — explicit parent/mode/gate/meta objects |
| Aristotelian canonical registry | PASS — 10 categories preserved |
| Experimental wheel disclosure | PASS |
| Porphyrian registry | PASS — 5 predicables |
| Q/T non-mutation | PASS |
| Rhetorical non-invention | PASS — reserved port |
| Namespace collisions | PASS — qualified registry |
## XVII. Unresolved register

| ID | Issue | Status | Handling |
|---|---|---|---|
| TRIV-UNR-001 | No source-bound complete rhetorical carrier wheel is established. | NONBLOCKING | Preserve TRIV.RHET port and source-bound functions; do not synthesize carriers. |
| TRIV-UNR-002 | Donatus has eight parts and does not split nomen into separate substantive/adjective parts. | NONBLOCKING | Preserve DON.PARS.NOMEN parent; mark B/C as user-authorized adaptation. |
| TRIV-UNR-003 | The nine-slot Aristotelian candidate wheel uses a non-predicament accidentalitas/inherentia gate and delegates relatio to T. | NONBLOCKING | Preserve canonical ten-category registry separately; mark candidate wheel experimental and reversible. |
| TRIV-UNR-004 | Source order and current AGLA analytic g-order diverge for T BCD and TG. | NONBLOCKING | Store semantic IDs plus independent source_order and analytic_order. |
| TRIV-UNR-005 | K2 semantic labels are verified through an external English translation witness rather than a directly parsed critical Latin edition. | NONBLOCKING | Mark verified translation witness; preserve exact semantic IDs but not critical-edition status. |

## XVIII. Closure

```text
MATRIX STATUS:
    G1 VALIDATED
    READY FOR ROTAS TRIVIUM DEVELOPMENT

CANONICAL EFFECT:
    NONE

NEXT CLASS:
    ROTAS — structural instantiation
```