Orthography and phonology

The phonology and orthography of Ŋarâþ Crîþ can be divided into eight layers in two modes (writing and speaking):

Layer 0 is the underlying morphographemic representation. Content in this layer exists structurally instead of linearly. In this grammar, text in this layer is written in double square brackets: ⟦tanc-a⟧.
Layer 1 is the graphemic representation. This representation is subsequently exported to the spoken and written modes. Text in this layer is written with angle brackets: ⟨tanca⟩.
Layer 2w is the surface glyphic representation. This represents the sequence of Cenvos glyphs that is written, observing required ligatures and final forms. Text in this layer is written with double angle brackets: ²⟨tanca⟩; for a more interesting example, ⟨mencoc⟩ becomes ²⟨mencoc$⟩.
Layer 2w* is an intermediate layer between 2w and 3w, in which discretionary ligatures are introduced to 2w text. For instance, ²⟨#flirora⟩ can be realized as ²*⟨#fliro ra⟩.
Layer 3w is the topological representation, showing optional ligatures as well as stroke order variations. Text in this layer is written with double angle brackets: ³⟨t_1α a_1γ n_1α c_1α a_1α ⟩. More interestingly, ²⟨mencoc$⟩ could become ³⟨me_1α n_1α c_1α o_1α c$_1α ⟩.
Layer 4w is the presentational representation, adding to 3w variations in the strokes themselves and how strokes within a glyph are joined. Text in this layer is written with double angle brackets: ⁴⟨t_1α a_1γ n_1α c_1α a_1α ⟩.
Layer 2s is the phonemic representation. We use slashes for this, as usual: /tanka/.
Layer 3s is the phonetic representation, or what is pronounced. We use square brackets for this, as usual: [tʰa⁴ɲcʰa²].

The conversions from 0 to 1, 1 to 2w, and 2s to 3s are functional: each valid input corresponds to exactly one output. The conversion from 1 to 2s is almost so, except when a ⟨&⟩ is present. In the opposite direction, the conversions from 4w to 3w, from 3w to 2w*, and from 2w* to 2w are functional. Furthermore, for any conversion, it can be determined whether a given input can be converted into a given output without external information.

In addition, the conversion between 1 and 2w is bijective: valid layer-1 and layer-2w representations can be paired with each other.