The Hebrew noun bad (בַּד) carries three meanings sharing the root sense of separation or distinction: (1) aloneness — used in levad (alone, apart from); (2) fine linen — the white fabric of priestly garments; and (3) idle talk or empty boasting.
The priestly linen of bad is theologically rich: the high priest wore linen garments on the Day of Atonement (Leviticus 16:4). Angelic beings are clothed in linen (Daniel 10:5). Linen represents purity and holiness in God's presence, fulfilled in Revelation 19:8 — the bride of Christ clothed in fine linen, bright and pure: the righteous acts of the saints.