Multi-Juggler Notation, Multi-Layer HSS, ...

[froudaut]

In JugglingLab, the classical way to describe passing (with < >) is not really a MHN matrix :
We do not describe hands but more Siteswaps for each juggler, either in Async or in Sync.
Even from one Juggler to another one we use special joker 'x' to indicate in which hand the object land.

Thus this notation may be called a Multi-Juggler Notation or Multi-Siteswap Notation.
Thus using such notation with Async for each Juggler we notice that for each juggler we have the classical Hand Siteswap 2.
Here is the Diagram we have for pattern : <3p2|3p1|3><3|3|3><3|3p3|3p2><3|3|3>

Now we may think adding a HSS for each Juggler. Let's see with
Juggler 0: HSS = 2
Juggler 1: HSS = 13
Juggler 2: HSS = 31

This is then a Multi-Juggler HSS

We may reuse this model to reduce the Matrix size by combining Asynchronous throws per hand set .
Here is an example with 8 hands split into 3sets. Each set has its own HSS.

Here is another example with 2 Sync Multi-Hands Cascades of 5 objects : First Set is on 4 hands and second on 3 hands.

In that case the Notation could be named Multi-Layer HSS or Multi-Set HSS
With these assumptions perhaps according to the pattern it is better to put Right Hand of all jugglers in one Set and Left Hand of all jugglers in another Set to reduce the global matrix ...

The use of x between Sets will then probably to avoid . We then have SS values on a Set and MHN values between Sets.
Each Set is probably not limited to Vanilla SS and may use Multiplexes.

This may be another possibility to extend JugglingLab notations ;-)
Another panel could then be added to offer a way to convert between the different notations.
ie . SS to HSS/OSS, MHN, MJN and the reverse when it's possible. The exercise to transform between notation is not so easy especially from HSS to MHN and sometimes according to how the SS is written (i.e in sync or mixed SS) we do not see at first that HSS is possible.