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An Angel spell is a creature spell with the creature type Angel. Instant, sorcery, and enchantment cards that may create Angel tokens are not Angel spells.

The cost reduction applies only to generic mana in the costs of Angel spells you cast. It can't reduce requirements of specific colors of mana.

To determine the total cost of a spell, start with the mana cost or alternative cost you're paying, add any cost increases, then apply any cost reductions (such as that of Starnheim Aspirant). The mana value of the spell is determined only by its mana cost, no matter what the total cost to cast the spell was.