碧羅の天 is where Hinokami Kagura's naming register announces itself. 碧 and 羅 are both characters you'd find in classical Chinese poetry describing silk or jade before you'd find them in ordinary conversational Japanese — 羅 in particular survives in modern Japanese mostly in the word 羅列 (enumeration) and place names, not as a live word for "gauze." Stringing 碧羅 together to mean "a sky like blue-green silk" is a small act of archaism, and it sets Hinokami Kagura apart from something like Water Breathing's plainly functional 水面斬り ("Water Surface Slash"): where Water Breathing's forms describe what the blade does, Hinokami Kagura's dances describe what the sky looks like while the blade is doing it. VIZ's "CLEAR BLUE SKY!" flattens the poetry — there's no single English word pair that reproduces "a heaven of fine blue-green gauze" without turning the callout into a run-on — but it keeps the referent intact, which puts this dance on the translated side of the ledger rather than joining "HINOKAMI KAGURA" itself as an untranslated proper noun.
The corpus preserves two distinct combat contexts for this dance, and comparing them says something about how Gotouge reuses the twelve forms rather than retiring them after their debut. The Vol. 7 appearance is a clean, single-panel callout — Tanjiro cutting loose with an early, still-developing command of the technique. The Vol. 14 appearance, against Hantengu's clone army, is deliberately truncated on the page: the corpus captures it mid-word, '碧羅の．．．' ('CLEAR BLUE—'), the panel cutting to the next beat of the fight before the strike even lands. That's not a translation gap — it's Gotouge using an incomplete dance name as a pacing device, letting the reader's memory of the full callout from Vol. 7 fill in the rest faster than a complete word balloon could. By the time 碧羅の天 shows up a third time, folded into the twelve-form chant against Muzan (Vol. 22–23), it no longer needs an establishing panel at all — it's just one more item in a list the reader is expected to already recognize by name.