Build the bracket set (puzuo) of blocks (dou) and arms (gong) crossing at right angles, each tier projecting no more than 30 fen beyond the one below; a set of n projecting tiers is called an (n + 3)-puzuo, from four to eight.
projection per tier ≤ 30 fen · rise per tier = 21 fen · puzuo = tiers + 3
Where the eaves must project far, replace the outer arms by slanting levers (ang) that run down and out beyond the bracket set and rise inward to be held down under an interior purlin.
From the intermediate bracket set of the second bay the rafter ends advance progressively outward, so that at the corner the eave projects further (by 4 cun for a hall of one bay, 5 for three bays, 7 for five bays) and rises with the corner beam.
Give a hall an odd number of bays across the front (three, five, seven, nine or eleven) so that the central axis passes through a bay and a doorway, never through a column.
Lay out the royal city as a square of nine li on each side, with three gates in each wall and, within, nine roads running north–south and nine east–west, each wide enough for nine chariots abreast.
side = 9 li · 3 gates × 4 sides · 9 jing + 9 wei · road width = 9 gui (tracks)
Find true north and south with a plumb-lined post and the shadows of sunrise and sunset, checked by the pole star; then turn the principal hall of every compound to face south.
Project the eaves from the centre of the eave purlin by 3½ chi for rafters of 3 cun diameter and 4 to 4½ chi for rafters of 5 cun; beyond them add flying rafters projecting six-tenths as far again.
eave projection ≈ 3½–4½ chi · flying rafters = 0.6 × eave projection
Set stones by first placing a principal stone and then others that answer it, following the “request” each makes; recall famous landscapes; and obey the taboos: a stone that lay flat in nature should not be set upright, nor one that stood upright laid flat.
Where there is no pond or stream, make the landscape of stones alone: set rocks as mountains, cliffs and islands, and let gravel or sand stand for water.
Fix the bay (the distance between column centres) and derive every other member from it by fixed ratios: the column from the bay, the brackets and beams from the column, the rafters and their spacing from the brackets, the eaves from the rafters.
Set out the posts of a house on a square grid of one ken (six shaku, about 1.82 m) and size rooms, doors, screens and mats to fit the grid.
1 ken = 6 shaku ≈ 1.82 m · 1 tsubo = 1 ken² ≈ 3.3 m² = 2 mats
In the Kyoto system (kyō-ma) fix the mat (6.3 × 3.15 shaku, about 1.91 × 0.955 m) and set the posts outside it; in the Edo system (edo-ma) fix the post grid at 6 shaku and cut the mats to fit between the posts, making them smaller.
kyō-ma ≈ 191 × 95.5 cm · chūkyō-ma ≈ 182 × 91 cm · edo-ma ≈ 176 × 88 cm
Lay the mats of a room so that their joints form T-junctions: no point where the corners of four mats meet, and no continuous seam running straight across the room.
Place the tokonoma, a shallow raised alcove for a hanging scroll and flowers, in the wall opposite or beside the entrance, with staggered shelves beside it; the place of honour is the seat in front of it.
Build the visible eaves as low and wide as the design requires, and above the visible ceiling raise a second, steeper roof on cantilever beams (hanegi) to shed the rain.
Build the sanctuary of unpainted cypress on posts set directly in the ground, with a raised floor and veranda, a straight thatched gable roof entered on the long side, crossed finials (chigi) and ridge billets (katsuogi), and a free-standing post at each gable carrying the ridge.
Every twenty years build an exact replica of each sanctuary on the alternate site beside it, transfer the deity at night, and dismantle the old buildings.
cycle = 20 years · two sites used alternately
Raise the god’s dwelling high on thick pillars planted deep in the bedrock, with crossed finials reaching up to heaven.
Make each storey of a pagoda narrower than the one below and derive all from the bay of the first storey; in the oldest Japanese pagodas the top storey is about half as wide as the first.
top storey ≈ ½ first storey (Hōryū-ji)
Run a single great pillar up the centre of the pagoda to carry the spire, but do not let the storeys rest on it: each storey stands on its own frame, stacked around the pillar.
Build the shinmei torii with a straight lintel, upright posts and a tie beam that does not project; build the myōjin torii with an upcurved double lintel, posts leaning slightly inward, and a tie beam that passes through them.
Pitch a roof no lower than its covering allows (roughly 45° for thatch, 35° for plain tiles, 20–25° for slate, 15–20° for interlocking tiles, a few degrees for sheet metal) and steeper where snow lies long or rain is heavy.
thatch ≥ 45° · plain tile ≥ 35° · slate ≥ 22½° · pantile ≥ 17½° · metal ≥ 5° · membrane ≈ 1–2°
Instead of a triangle, stack beams one above another, each shorter than the one below and raised on short posts, and lay a purlin on each beam-end; the heights of the purlins then set the section of the roof, which may be curved at will.
Combine a hipped lower roof with a gabled upper roof, the triangular gable set back from the end of the building; count one main ridge, four gable ridges and four hip ridges: nine in all.
Classify a roof by how its planes meet: one slope (shed), two meeting at a ridge (gable), four meeting at hips (hip, pyramid), a hip below a gable (hip-and-gable), two pitches each side (gambrel, mansard), or a curved surface (barrel, cone, dome).
Divide the capital into blocks (machi) forty jō square; gather sixteen blocks into a ward (bō) and the wards into rows (jō); separate the blocks by lanes of four jō and the wards by avenues of eight to twelve, and make Suzaku-ōji, the central avenue, twenty-eight.
machi = 40 jō (c. 120 m) · kōji 4 jō · ōji 8–12 jō · Nijō 17 jō · Suzaku-ōji 28 jō (c. 84 m) · city 1,508 × 1,753 jō
Put the palace enclosure at the north end of the central avenue, facing south down its length to the city gate; govern the half of the city on the emperor’s left (east) and the half on his right (west) as two capitals.
Grant residential land in whole blocks and fractions of blocks according to rank: several blocks to the highest ministers, one or two to officials of high rank, and to ordinary households a half, a quarter or less, according to their size.
Minister of the Right 4 machi · high ranks 2 · middle ranks 1 · households 1, ½ or ¼ (691); in Heian-kyō, ordinary lots of 1/32 machi (c. 15 × 30 m)
Leave a court of white sand six or seven jō deep between the main hall and the pond, eight or nine at a palace, for the rites held there; bring the stream in from the east, past the front of the house, and let it leave toward the south-west.
south court = 6–7 jō (c. 18–21 m); at the imperial palace 8–9 jō