The Order is, conceptually speaking, universal in scope; that is to say, its mission knows no boundaries, and ultimately, our hope is to be able to offer the Order programme to anyone anywhere.

For practical purposes, however, it is convenient to organise members geographically for the purpose of their mutual support in participating in the Order programme. A feudal approach to territorial organisation lends itself well to the task, because

• as a hierarchical model, it ensures the maintenance of programme integrity across the membership of the Order and allows for the communication of information in a straightforward fashion; and
• it is completely flexible, and lends itself to easy adaptation as the need for changes to geographical organisation become evident.

Clearly, a standard feudal system such as has existed in the past would not make a desirable template for the Order in and of itself, for a number of reasons:

• we no longer live in the Middle Ages, and our conceptions of the Temporal and Spiritual Realms cannot be allowed to be confined to mediæval models;
• simple rule by "divine right" does not allow for sufficient participation of members, and fails to recognise that growth and learning must be bidirectional;
• various forms of discrimination were inherent in traditional feudal systems which are not appropriate in view of modern sensibilities, and are at variance with the Alchemical mandate of balance, such as racial or ethnic discrimination, and the inherent subordination of women to men.

Thus, we have adopted a model which offers consultatory rule and recognises the equality of all persons.

Geographical groups of members are known as Sodālitātes, a Latin word meaning "Spiritual Fellowships". Each Sodālitās is overseen by one man and one woman, known as Sōl ("Sun") and Lūna ("Moon"). These are chosen on the basis of numerous criteria, including Spiritual maturity, leadership ability, lateral and hierarchical compatibility, and so on. The Sōl and Lūna of the ruling Sodālitās are known as the Mystagōgus and Mystagōga ("Teachers of the Mysteries"), respectively.

Members are known as Sodāles ("Spiritual fellows").

Every Sodālis is responsible

• to peers in matters of conduct and mutual support;
• to immediate superiors, and ultimately via the hierarchy to the leaders of the Order, for adhering to and promoting the aims and goals of the Order;
• to subordinates, if any, for providing leadership, support, and, where necessary, admonition.