Ladder

Coarse rung — the ladder

3 distinct arguments against one idea, from the one that introduces it to the one that assumes the rest.
  1. 0.5°1.5°0.043/53/50.052/32/30.062/32/30.072/32/30.082/32/30.092/32/30.12/32/30.112/32/30.122/31/20.131/2settles: 0.5°rise, and the pair a counter returnshow much the divergence wanders (°)stuck on 135.000° — three eighths of a turn19 rises · 13 a cut may be made ongenerated from a stated rule, not drawn to look right

    A stem coarse enough to cut

    Below the 3/5 rung is a 2/3 rung, and it runs from a rise of 0.050 to 0.120. It is not a lattice across all of it: from 0.090 to 0.115 the divergence stops settling and sticks on exactly three eighths of a turn, wobbling by a degree and a half — while a counter goes on reporting 2/3 as though nothing had happened.

    rung 1 · cylinder
  2. 048120.05of 20.055of 140.06of 130.065of 120.07of 70.075of 70.08of 70.085of 70.12of 2rise, and how many cuts never repaired therecuts that never repairedlower block: reversed onto the mirror · upper: a cycle about half a turn324 two-organ cuts over 9 rises · 22 reversed · 40 cyclinggenerated from a stated rule, not drawn to look right

    The shallower front turns over

    If reversing a stem means rearranging its whole front, then a stem with a shallow front should reverse more often. Measured across three rungs and four hundred and seventy-three cuts: 6.8 per cent at a front of three, 4.7 at five, and none at all at eight — where the nearest approach is two tenths of a degree away and stays there.

    rung 2 · cylinder
  3. 048120.05of 20.055of 140.06of 130.065of 120.07of 70.075of 70.08of 70.085of 70.12of 2rise, and how many cuts never repaired therecuts that never repairedlower block: reversed onto the mirror · upper: a cycle about half a turn324 two-organ cuts over 9 rises · 22 reversed · 40 cyclinggenerated from a stated rule, not drawn to look right

    Half a turn, four at a time

    At four of the nine coarse rises no wrecked cut reverses. What those stems do instead is stop settling: they repeat 171.09°, 269.53°, 189.14°, 90.23° without end, which adds to two whole turns over four organs. The mean is exactly half a turn and a counter finds four files where the lattice had three.

    rung 3 · emergence

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