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1
Press the tofu under a weighted board for 30 minutes to expel surface moisture. Pat all vegetables and konnyaku thoroughly dry with clean cloth. No ingredient should carry surface water at the point of miso application — wet surfaces prevent the paste from adhering.
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2
Combine the white miso, mirin, sake, and sugar in a small heavy saucepan over low heat. Stir continuously until the mixture tightens into a spreadable paste — it should hold a slow ribbon off the spoon and not run. This is the den-miso; at roughly 70% moisture it will caramelise on the skewered ingredient rather than running off or burning. Remove from heat and reserve at room temperature.
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3
Thread each ingredient block onto thin cedar or bamboo skewers. Heat a dry pan over moderate-high heat. Sear the tofu blocks on their flat faces until golden and dry to the touch; the eggplant rounds until slightly softened at the cut face; the konnyaku and daikon until the surface shows light colour. All ingredients must arrive at the broiling stage pre-cooked and surface-dry.
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4
Apply the den-miso to one exposed flat face of each skewered ingredient in a thin, even layer — no thicker than 3 mm. A thick application will char on the surface before the interior heats. This is the step on which the dish lives or dies: the paste must be thin enough to caramelise cleanly through Maillard reaction, producing the characteristic sweet-savory char, yet thick enough to insulate the ingredient beneath it.
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5
Place the skewers miso-face-up close beneath a preheated grill or broiler set to approximately 200 °C, or over charcoal at equivalent moderate-high heat. Broil until the miso surface blisters, darkens to a deep amber-brown, and emits a sweet caramel-ferment aroma — the Maillard browning that transforms the raw paste into complex char. The miso must not blacken to acrid carbon; pull the skewers the moment the glaze is set and fragrant.
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6
For the two-colour presentation noted in the kaiseki tradition: apply white miso to one face and red miso to the opposite face, broiling each side in turn. Serve immediately on the skewer; the glaze loses its caramelised character as it cools.