Hi,
I have recently bought Mnemonica. I will try to post a detailed review in due course. In the meantime I would like to make a couple of points, that would be relevant to anyone trying to choose which memorized stack is best for them. (Sorry if these comments duplicate some other threads).
Menemonic is a very deep & thorough book. This could give you enough material for a whole career. BUT you will need to do a lot of work.
The stack does have a lot of built-in routines (perfect poker hands etc). But they are NOT straightforward to perform. IE you always have to make various adjustments to the stack before/during the effect in question. [If you think about it, it would be impossible to produce lots of
different effects from
exactly the same setup.] These adjustments require intimate knowledge of the stack (which you will by definition acquire) plus a variety of sleights. SO you need to be good with your hands. They also require you to remember all the correct adjustments for each trick (which is not the same as just knowing your stack).
The other thing is that members on here keep saying it is 'easy' to set up from New Deck order; 'easy' to get to a mirror stack etc etc. Well, that depends on your definition of "easy"!!! EG Four perfect Faros followed by a cut at a certain place, run a couple of cards etc etc. That rules me out!
I cannot agree that you might as well learn ANY randomly shuffled deck order.
If you are going to put in the learning effort, you should look for a stack that is either (A) Designed to be easy to learn. Or (B) Like Mnemonica or Aranson, got other features you like (built in tricks; easy to set up from new deck etc). If you learn a random sequence, you get the worst of both worlds [unless you happen to hhave a great memory - in which case A becomes irrelevant, I suppose]
My own interest in Memorized Decks is that i hope for a 'secret advantage' to perform some great tricks while I gradually improve my sleights. (I am a newcomer to magic), So all the Faro shuffles etc are very off-putting to me personally.
I have also come to the conclusion that all those poker hands etc are probably not what I am looking for. Especially as they might make spectators suspicious about the deck being stacked. Since my false shuffles are only adaquate, I don't want that kind of heat on the deck.
So for me personally, as a mere newbie hobbyist, I am simply not skilled enough to benefit from the Mnemonica stack. I have therefore decided to look for one that is designed for ease of learning.
There is a short chapter in Mnemonica with some suggestions for memorization. EG make up a silly song with all the cards/positions & learn your song. Similar techniques can be found in many books on Memory.
You could also use the techniques generally associated with Nikola system. For some reason there are people who are quite disparaging about this excellent approach. They say you have to 'learn' 52 images for the numbers, then another 52 for the cards; then 52 associations to link each number to its card. This is an unfair misrepresentation. You do not learn 104 random images. You learn a
simple system to
derive a memorable image from an otherwise meaningless number.
EG. the digit 3 = M, 2 =N [count the vertical strokes] therefore 32 = MooN or MaN or even MoNster - or whatever you will remember.
The great thing about this system is you can use it as well as any other technique (eg singing a song).
Having decided that Mnemonica is not for me, I am considering Joyal's 6 Hour Memorized Deck & Doug Dyment's Quickstack.
The Joyal stack is apparently based on 14 rules. He says it can be memorised in 4 90 minute sessions. Once the stack is memorized, the rules 'fade away'.
[NB. Tamariz claims his stack can be learnt in 3 hours - using the various techniques he describes. I am rather sceptical of this - but I admit I haven't attempted it.]
Doug Dyment published Quickstack in his Mindsights booklet. There is some great info about all these systems on his website
www.deceptionary.com. He gives an example of a Joyal 'rule' - that is actually more of a clue/reminder than a rule. By contrast, Quickstack "The Half Hour Stack"

is based on a simple-ish algorithm.
Personally I am leaning in favour of this one now.
Looking back at the original post by Taneous, sounds like he should consider it too!
One final point. An algorithm for a Memorized Stack is NOT the same as an algorithm for a sequential/cyclic stack. EG Stebbins, BCS etc. These are much simpler algorithms to learn - but they only link each card to the next one to form a chain. They do not link each card directly to its location.
If this is unclear, you just have to try to answer these questions:
1. What position is the 8C in Stebbins or BCS? 7H? 2S? etc
2. What card is at position 14? 23? 45? etc
I will write a review of QuickStack (& maybe Joyal too).
In the end, each individual must make their own choice. I hope this info aids that process.