Pious magi, for instance, may prefer to use a euphamism such as "Ordo Philosophorum Piorum" (Order of Pious Philosophers) or "Ordo Sophorum" (Order of Sages). Magi Jerbitonis, even if not particularly pious themselves, often use such euphemisms when speaking to mundanes, preferring not to refer to a pagan god when speaking about the Order.

Non-Latin magi, such as many magi Ex Miscellanea, and more than few magi Bjornaer, may also prefer to use alternative names in their preferred languages. For example, magi in Caledonia often refer to themselves simply as Aonoranan, a term that can apply to any wise one. Magi in Hibernia typically speak of Eagar na Bhfáithe (Order of Sages).

Arabic-speaking magi, both in Hispania and in Syria, speak of 'Akhawia al-Khidr, substituting the legendary teacher of magic in Arabic culture for the Greek god Hermes.

Many magi Bjornaer, emphasizing the Gothic origins of their tradition, may simply refer to Kuni Aithis (tribe of the oath). Referring to the Order in terms of the Oath may also be a suitable euphemism for Latin-speaking magi, who would use the term Ordo Jurandi. Other Latin euphemisms include Nos Ordinem (Our Order) and Nos Societatem (Our Fellowship).

Greek magi may prefer a Greek term, such as Kanόnas Ermou (Order of Hermes) or even a Greek euphemism such as Kanόnas Sophistais (Order of Sages).

Finally, even some pagan Latin magi may prefer to use the Roman name Mercury, with the Latin term Ordo Mercurii.