Prime Period Theory

Prime Period Diacritics — Glyph Forms

Visual specifications for the Prime Period Diacritics (PPD) character forms, mapping positions to visual representations.

Glyph Forms

This file specifies the visual form of each diacritic. The base figure (a circle in generic PPD; the rotated U with decorated arms in Uniform Solfège) is treated as a clock face. Orientation is from 12 o’clock (base position). 3 o’clock = positive deviation. 9 o’clock = negative deviation.

Du family

Axis — a horizontal stroke passing through the base character.

Fractal Du depth is encoded as small triangle offsets on the Axis stroke:

  • Depth 1 (±1/2): plain stroke, no triangles
  • Depth 2 (±1/4): one small triangle on stroke, pointing toward nearer pole
  • Depth 3 (±1/8): two small triangles
  • Depth 4 (±1/16): three small triangles

Tri family

Glyph: equilateral triangle attached at the base character perimeter.

  • Tri (+1/3): point-up triangle, 2 ticks on either side of base character
  • TriInv (−1/3): point-down (inverted) triangle, 2 ticks

Tick count encodes magnitude: 2 ticks = full Tri distance from base.

DuTri family (fractal compound)

Glyph: same triangle forms as Tri, with 1 tick (half the distance).

  • DuTri (+1/6): point-up triangle, 1 tick
  • DuTriInv (−1/6): point-down triangle, 1 tick

Qui family

Glyph: triangle (same orientation encoding as Tri) with an outward-facing T-cross (capital T shape) on the diacritic, pointing away from the base character. Tick count encodes magnitude.

  • Qui (+1/5): point-up triangle + T-cross, 1 tick
  • QuiInv (−1/5): point-down triangle + T-cross, 1 tick
  • Qui2 (+2/5): point-up triangle + T-cross, 2 ticks
  • QuiInv2 (−2/5): point-down triangle + T-cross, 2 ticks

Sep family

Glyph: tick(s) or Axis stroke capped with a circle, placed on the 3 o’clock side (positive/clockwise) or 9 o’clock side (negative/withershins). The Axis stroke variant makes the Axis-proximity principle visually explicit.

Clockwise configurations (mirror for withershins):

  • Sep (+1/7): 1 tick, capped with circle
  • Sep2 (+2/7): 2 ticks, capped with circle
  • Sep3 (+3/7): full horizontal stroke (Axis-inherited form), capped with circle

Note: Sep3 deliberately shares visual grammar with the Axis glyph, reflecting its positional proximity to +1/2.

Undec family

Glyph: moon-phase forms placed at the cardinal points (3 o’clock for positive, 9 o’clock for negative). Two poles of gravity: Base (0) and Axis (+1/2). Half-circle (crescent) forms lean toward the nearer pole.

Full moon appears at the cardinal point and represents the centre of the positive or negative field (+3/11 or −3/11). Half-moons offset by Undec steps toward Base or Axis.

Clockwise (positive) configurations (mirror for withershins):

GlyphPositionForm
Undec1+1/11Double moon leaning toward Base
Undec2+2/11Moon leaning toward Base
Undec3+3/11Full moon at cardinal (3 o’clock)
Undec4+4/11Moon leaning toward Axis
Undec5+5/11Double moon leaning toward Axis

“Double moon” = two half-circle forms; signals proximity to an extreme (Base or Axis). Undec4 and Undec5 visually inherit Axis-proximity grammar consistent with the design principle.