Basic Michael Math

April 26, 2003

Here is an updated article covering the daunting “Michael Math”. It’s actually fascinating to understand these designs behind all of our shared consciousness! I hope you enjoy. Put all of these recent articles together and you should have a nice picture of how we are all linked. -troy
BASIC 101 Michael Math

The Tao “casts” fragments in rhythms called Cadences to the beat of 1/7 (Cadence Rhythm).

These Cadences are grouped into 7, which are called Greater Cadences (49 Positions/Fragments).

These Greater Cadences, when completed in varying numbers, are called

Entities are “cast” in groups of 7, called a Cadre.

A Cadre is part of an Energy Ring.

An Energy Ring is 12 Cadres.


Each Number Position may be named something more specific within different contexts, such as the numbering in a Support Group (12 positions), but we will stick to the context of 7 here.


1 = Server
2 = Artisan
3 = Warrior

4 = Scholar

5 = Sage
6 = Priest
7 = King


When an Entity is Cast, it is cast in groups of Roles, which are organized in groups of 7 based on the Cadence Rhythm. Let’s use a fictional First-Cast Entity and its Fragments of Warriors, Scholars, and Artisans. The Warriors are cast first in this case. Let’s say there are 147 Warriors.

Since this is Entity 1, then the first number noted will be 1. Since the first Greater Cadence is the first Greater Cadence, it is also 1. So that is what the first two numbers are. The third number is the actual Cadence, while the last position would be the Position within that Cadence. We will ignore what Cadre Number all of this is taking place within, for now.

Entity 1/Greater Cadence 1/Cadence 1/Positions 1/2/3/4/5/6/7
Entity 1/Greater Cadence 1/Cadence 2/Positions 1/2/3/4/5/6/7
Entity 1/Greater Cadence 1/Cadence 3/Positions 1/2/3/4/5/6/7
Entity 1/Greater Cadence 1/Cadence 4/Positions 1/2/3/4/5/6/7
Entity 1/Greater Cadence 1/Cadence 5/Positions 1/2/3/4/5/6/7
Entity 1/Greater Cadence 1/Cadence 6/Positions 1/2/3/4/5/6/7
Entity 1/Greater Cadence 1/Cadence 7/Positions 1/2/3/4/5/6/7

Entity 1/Greater Cadence 2/Cadence 1/Positions 1/2/3/4/5/6/7
Entity 1/Greater Cadence 2/Cadence 2/Positions 1/2/3/4/5/6/7
Entity 1/Greater Cadence 2/Cadence 3/Positions 1/2/3/4/5/6/7

Entity 1/Greater Cadence 3/Cadence 1/Positions 1/2/3/4/5/6/7
Entity 1/Greater Cadence 3/Cadence 2/Positions 1/2/3/4/5/6/7
Entity 1/Greater Cadence 3/Cadence 3/Positions 1/2/3/4/5/6/7

Now, let’s say there are 343 Scholars. Then this numbering will repeat for the Scholars, looking exactly as above, but continuing through the Greater Cadence numbers to 7.

Let’s say there are 343 Artisans and the same applies.

That means this Entity has 833 fragments.

(NOTE: When Michael says that ALL Scholars, or Artisans, etc., or groups of Entities are “Cast at Once”, this does not contradict the seeming, linear “counting” that occurs. The way to understand this is to use the metaphor they offer as a Baker making Cookies. Although the Baker/Tao is rolling out and cutting the dough (cadres/entities) into cookies/fragments, the ones which are baked in the oven that morning are all from the “same batch”, or “Cast at Once”. Calling them “cast at once” does not negate the process of creating their individuality.)


Let’s say you are an Artisan in this Entity and you are in the Greater
Cadence 2, Cadence 3, Position 5.

That means your Casting Number (your Position Number) is 5, which resonates to SAGE. You would then be considered a Sage-Cast Artisan.

Based on Number Correlations, you could translate this fragment’s relative position within the Entity 1 as being:

Server-Cast Entity 1
Artisan-Cast Greater Cadence 2
Warrior-Cast Cadence 3
Sage-Cast Position 5


Your “Raw Number” is the exact sequential position among all Fragments within your Entity. Regardless of your “casting numbers”, you may be the 108th Fragment in your Entity of 1,029 Fragments, or you could be the 1,012th Fragment within your Entity of 1,029. There is always a Fragment who was the very first cast, and one who was last, and then all the numbers in between.


Traveling Companions

Traveling Companions are those Fragments who share your Raw Number from the positions within their own Entities. For example, ALL Fragments who are first in an Entity are Traveling Companions with all other Fragments who are first in their Entity. ALL who are second in their Entity are Traveling Companions with all the others who are second, and so on.

Traveling Companions are not necessarily the same Roles or Casting, but that single Raw position within the Entity links them all together. Most people will always have 6 Traveling Companions, as there are 6 other Entities in your Cadre with the same position as yours, but for some of the more populated Entities, there would not be a 1,205th Raw Position within an Entity of only 1,029. This means that not everyone will have a complete set of 6 Traveling Companions.

Traveling Companions “feel” very much like Essence Twins, and even when your Essence Twin is not available within a life, many times, at least one of your Traveling Companions is.

Traveling Companions feel so like Essence Twins because they are nearly the same, except for one major difference. See below.

Essence Twins

Your Essence Twin is always one of the Traveling Companions, as described above, who not only shares your Raw Number, but shares your Casting Position, as well.

5% of all fragments don’t even have a Twin because of this (but they will always have their Traveling Companions).

It was originally channeled that 6 out of 7 times Essence Twins are the same Role, but this was before we understood Casting. An updated theory is that 6 out of 7 times, Essence Twins are the same Casting Position. The reason there would be that 7th time that Casting was not shared, is because of the flexibility needed to accommodate the varying structures and populations of Entities, and of course, to accommodate the need for variation in the first place.

Essence Twins are NEVER from the same Entity.

The 7th Entity of a Cadre will usually find its Essence Twins in the 7th Entity of another Cadre within their Energy Ring.

Essence Twins are the links that reunite a Cadre, and the 7th Entities are what reunite the Energy Ring (12 Cadres).

Task Companions

I know of no mathematical link among Task Companions, except in that there are no Task Companions who share the same Casting, and they are always from the same Entity. This is because Task Companions are those Fragments we work with as a means to accomplish things in the external world, to manifest ourselves in some specific way on the Physical Plane. If two Fragments share the exact same Casting, and therefore approaching life from a very similar angle, there would be no balance to the approach of accomplishment. Because your Casting Position affects how you live your daily life, it is vitally linked to how you also manifest your accomplishments when working with a Task Companion. Task Companions will always be one Ordinal and one Cardinal in Casting. Having the different Casting is a complementary union, to help cover both the focused aspects of life and the broader aspects of life.

Old Theory and original channeling: Task Companions are 6 times out of 7 in the SAME ENTITY, and NEVER the same Role.

Updated Theory and current channeling: Task Companions are 6 times out of 7 in the SAME ENTITY and NEVER the same CASTING POSITION.

Task Companions are what reunite an Entity.