'Higher' in the Bible

So He became higher in rank than the angels, just as the name He inherited is superior to theirs.

For Jesus has been counted worthy of greater glory than Moses, in so far as he who has built a house has higher honour than the house itself.

For such an high priest became us, who is holy, harmless, undefiled, separate from sinners, and made higher than the heavens;

But as it is, Christ has acquired a [priestly] ministry which is more excellent [than the old Levitical priestly ministry], for He is the Mediator (Arbiter) of a better covenant [uniting God and man], which has been enacted and rests on better promises.