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@liaizon Personally, and the way the term was used, since it was first coined, was any software with #OStatus support (later #ActivityPub).

When there were discussions of having a new name, I ran suggestion threads and polls about it, and one suggestion/choice was mycelial, mycelium. I like it so I started using it myself.

By definition:
* A mycelium is a single network.
* A mycelial is a collection of various mycelium.

Adopting it to #SocialWeb:
* The "Fediverse" is one mycelium network.o, based on ActivityPub
* "The Federation" / #diaspora* is another mycelium network.
* #Matrix is a mycelium network.
* #ATproto is another mycelium network.
* #XMPP / #Jabber is a mycelium network.

Together, they are called Mycelial Web. A collection of "decentralised, distributed, federated, and open, network". A subset of the Social Web.

A "sister", if you will, of the Mycelial Web is IRC and e-mail, as examples.

So:
I. Web
A. Social Web
1. IRC
2. E-mail
3. Mycelial Web
* Fediverse/ActivityPub
* ATproto
* diaspora
* Matrix
* XMPP

.