Special Forms: Digits, Colors, Scales, and Constants
Special forms are closed-class lexical anchors that sit outside the primitive set. They are not compositional — they are assigned fixed meanings by convention or necessity. They are stratified phonologically to distinguish them from primitives and compounds.
Why Special Forms Exist
Tonesu uses three phonological tiers for roots:
| Tier | Pattern | Content | Scope |
|---|---|---|---|
| Primitive | CV | Ontological roots; the core concept set | Closed (~34 forms) |
| Compositional | CV-CV+ | Combinations of primitives; productive | Open (infinite) |
| Special forms | CVC / CVCC | Descriptors, constants; ergonomic anchors | Closed (dozens) |
Special forms exist because: - Some values are defined by physical convention (AU, the mole), not by ontology - Some values are irrational or transcendental (π, e, φ) — no compositional expression - Some categories are closed and frequent enough to warrant shortforms (colors, digits, scales)
They are not failures of composition. They are solutions to practical and mathematical necessity that preserve the integrity of the primitive set.
The Assemblage-First Rule
Before any concept gets a named root, it must fail compositional expression in all possible forms. Three criteria must all be met:
- No compositional expression exists — the concept cannot be built from existing primitives no matter how verbose
- A single atom is functionally necessary — it appears frequently enough that spelling it out each time creates genuine communicative friction
- A new primitive is explicitly refused — if the pressure is strong, CVCC is the answer instead
What does NOT qualify: - A long compound (length is not grounds for a shortform) - A common concept (frequency alone is not grounds) - Domain vocabulary (use registered compounds or domain shortforms instead) - Anything expressible from existing roots in any form
Phonological Stratification
Special forms occupy two distinct phonological tiers to make category instantly recognizable:
CVC Tier (Closed Consonant)
Three consonants with a single vowel. Used for: - Digits (0–9) - Colors (core hues and brown) - Scale prefixes (nano through yotta)
Coda constraints: Preferred codas are n, l, r, m, s. Marked but allowed: z, f, h. Stops and clusters are disallowed.
CVCC Tier (Closed Consonant Cluster)
Two consonants flanking a vowel, then one final consonant. Used for: - Mathematical constants (π, e, φ) - Physical constants (speed of light, Planck's constant) - Convention-defined units (the mole, AU, parsec)
The CVCC tier signals: "This value is fixed by external definition, not internal composition."
Digits: The CVC Digit Inventory
Counting structure: {digit} nu {noun}
Ordinals: {digit} ti = nth in sequence
Forms (0–9)
| Digit | Form | Meaning | Sound |
|---|---|---|---|
| 0 | nil |
zero / nothing | nil |
| 1 | bol |
one | bohl |
| 2 | bun |
two | bun |
| 3 | gal |
three | gahl |
| 4 | mol |
four | mohl |
| 5 | hin |
five | hin |
| 6 | wes |
six | wes |
| 7 | yom |
seven | yohm |
| 8 | fon |
eight | fohn |
| 9 | zan |
nine | zahn |
Positional Counting
Most-significant-digit first, chaining before nu:
Colors: The CVC Color Inventory
Structure: {color} {noun} — head-final, color precedes the noun.
Core Colors
| Color | Form | Sound | Notes |
|---|---|---|---|
| black | yel |
yel | zero reflectance hue |
| white | yim |
yim | full reflectance hue |
| red | ker |
kehr | |
| green | gim |
gim | |
| blue | pom |
pohm | |
| yellow | sam |
sahm | |
| brown | kus |
kus | no clean compositional form |
Secondary Colors: Compositional Blends
Secondary colors are built from core hues using zi (mutual/coupling):
yel zi yim → gray (black + white)
ker zi yim → pink (red + white)
gim zi pom → cyan (green + blue)
sam zi gim → lime (yellow + green)
ker zi sam → orange (red + yellow)
ker zi pom → purple (red + blue)
Color Intensity
Use existing primitives vo-be (brightening, growth in value) and vo-de (darkening, decay in value):
Color Gradients
Use ki (motion/change) for spectral transitions:
Darkness vs. Black
Two distinct expressions:
- yel = black as a hue (named color point)
- no-lu = dark as a property (absence of light)
Use yel for color attribution; use no-lu for surface/coat darkness:
Scale Prefixes: SI-Style Magnitude Words
Structure: {scale} nu {domain}
Base unit (×1) needs no prefix — bare nu with the domain is the base form.
bol nu pa → 1 meter (base)
pir nu ma → 1 kilogram (kilo-scale matter)
mes nu ti → 1 microsecond (micro-scale time)
baf nu ra → 1 megajoule (mega-scale energy)
Core Scales (nano through giga)
| Scale | Exponent | Form | Sound |
|---|---|---|---|
| nano | 10⁻⁹ | zum |
zuhm |
| micro | 10⁻⁶ | mes |
mess |
| milli | 10⁻³ | rim |
rim |
| base | 10⁰ | (bare nu) |
— |
| kilo | 10³ | pir |
peer |
| mega | 10⁶ | baf |
bahf |
| giga | 10⁹ | wul |
wool |
Extended Scales (optional)
| Scale | Exponent | Form | Sound |
|---|---|---|---|
| pico | 10⁻¹² | bim |
bim |
| tera | 10¹² | les |
less |
| peta | 10¹⁵ | gul |
gul |
| exa | 10¹⁸ | fin |
fin |
| zetta | 10²¹ | fus |
fuss |
| yotta | 10²⁴ | hem |
hem |
Base Units from Primitives
SI base units do not receive special CVC forms. The domain root is the unit:
| Expression | Reading | SI Equivalent |
|---|---|---|
nu pa |
quantity of space | meter |
nu ti |
quantity of time | second |
nu ma |
quantity of matter | kilogram |
nu ha |
quantity of heat | kelvin |
nu lu |
quantity of light | candela |
nu ra |
quantity of force | newton / joule |
nu so |
quantity of sound | decibel |
nu si |
quantity of signal | bit |
Derived Units
Derived units (newton, joule, pascal, watt) use multi-domain expressions:
ra ne ma-ki → force in relation to matter-in-motion (≈ newton)
ra pa ne fu → force in relation to space (≈ joule)
CVCC Tier: Mathematical and Physical Constants
Constants that are irrational, transcendental, or defined by convention receive CVCC forms — phonologically distinct as a signal: "This is a fixed external value, not a composite."
Mathematical Constants
| Constant | Form | Value |
|---|---|---|
| π | varn |
3.14159… |
| τ (2π) | worn |
6.28318… |
| e (Euler) | werm |
2.71828… |
| φ (golden ratio) | vins |
1.61803… |
| √2 | valm |
1.41421… |
| i (imaginary unit) | walf |
√(−1) |
Physical Constants
| Constant | Form | Approx Value |
|---|---|---|
| speed of light (c) | vern |
2.998×10⁸ m/s |
| reduced Planck (ħ) | birm |
1.055×10⁻³⁴ J·s |
| gravitational (G) | velf |
6.674×10⁻¹¹ N·m²/kg² |
| Boltzmann (k_B) | holm |
1.381×10⁻²³ J/K |
| elementary charge | vils |
1.602×10⁻¹⁹ C |
| fine structure (α) | yolm |
≈ 1/137 |
Convention-Defined Units
| Unit | Form | Value | Notes |
|---|---|---|---|
| Mole (N_A) | wels |
6.022×10²³ | Avogadro counting unit |
| AU | holf |
1.496×10¹¹ m | IAU-defined Earth–Sun distance |
| Parsec | yarm |
3.086×10¹⁶ m | Parallax-arcsecond; convention-defined |
| Julian year | hulm |
31,557,600 s | Earth orbital period anchor |
| Ampere | telf |
see notes | SI current unit; defined by vils-count-rate |
Usage:
varn nu pa → π meters
bol hin nu holf → 150 AU (inner Oort cloud edge)
bun nu yarm → 2 parsecs (stellar neighborhood)
pir nu yarm → 1 kiloparsec (galactic structure)
Atomic Mass Anchors
| Constant | Form | Value | Notes |
|---|---|---|---|
| Electron mass (m_e) | dolm |
9.109×10⁻³¹ kg | Atomic physics workhorse |
| Proton mass (m_p) | dolf |
1.672×10⁻²⁷ kg | Factor ~1836 heavier than electron |
Phonological Constraints for CVCC
CVCC forms are designed to be immediately distinct from all other tiers. Preferred CC codas: -lm, -ls, -ln, -rm, -rs, -rn, -lf, -rf, -ns, -ms (sonorant-heavy clusters for cross-linguistic ease). No near-homophones across the set.
| Group | Forms |
|---|---|
| Mathematical | varn · worn · werm · vins · valm · walf |
| Physical | vern · birm · velf · holm · vils · yolm |
| Conventional / observational | wels · telf · holf · yarm · hulm |
| Atomic mass | dolm · dolf |
Light-Year (Compositional)
The light-year has a compositional expression and receives no CVCC form:
lu-ki ti-re nu pa → distance light travels in one time-cycle
(one year, in stellar-astronomy context)
gal bun nu lu-ki ti-re nu pa
→ 3.2 light-years (using compositional form)
Visual-Pattern Modifiers
Light-distribution patterns on surfaces use compositional compounds (not special forms), but function as pre-nominal color-like modifiers:
| Pattern | Compound | Shape | Example |
|---|---|---|---|
| striped | lu-di |
linear | lu-di'zo-se-so-fe = striped cat |
| spotted | lu-pe |
dappled | lu-pe'zo-se-so-fe = spotted cat |
| solid | lu-fe |
uniform coat | default when no pattern |
Use ' (juncture marker) when modifying multi-root compounds.
Scope Rule for Named-Root Modifiers
Colors, scales, and visual patterns all use head-final order — modifier before noun:
Examples:
ker mu → red object
gal bun nu ti → order 32 (ordinal)
pir nu ma → kilogram
lu-di mu → striped object
lu-pe'zo-se-so-fe → spotted cat organism
no-lu'lu-pe'ma-ki'zo-se-so-fe → dark-spotted water-cat (panther)
The ' is required whenever the noun is a multi-root compound to avoid ambiguity in parsing.
Design Philosophy
Special forms embody a key principle: preserve the purity of the primitive set by using closed-class, well-defined anchors for everything else.
The result: - CV primitives remain a small, manageable, ontologically pure set - CVC descriptors provide ergonomic shortforms for frequent closed categories (digits, colors, scales) - CVCC constants admit mathematical and physical values without polluting the primitive tier - All other vocabulary grows compositionally from primitives
This three-tier architecture keeps the language both generative (infinite compounding) and practical (fast recognition of categories and constants).