Greetings all, I've done more research along the lines that I started in the "The quest for..." thread.
This time I've used Monster Rancher 2, since it's newer and more people are interested in it, and I've done a larger range of samples.
I'm still using the subcode from a Nirvana Nevermind CD (BMG edition, does not produce the Swimmer normally) taken using CloneCD v.2
As was shown under my Monster Rancher 1 investigations, it was possible to pull the rare from this disc, and I was able to do so in MR2 as well with the same methods.

As with last time, I have modified the PMin, PSec and PFrame values from [Entry 2] to effect the desired changes, and PLBA recalculated to match accordingly with the known formula.

Below are my results, after the table I will give a brief synopsis of my findings.
(The bottom entry is the original subcode from the CD unmodified, the second Swimmer is from the values modified to match the Swimmer CCD file posted on this site)

Pmin 2	Psec 2	Pframe 2	PLBA 2	monster	main	sub	Lif	Pow	Int	Ski	Spd	Def	total	Nature	Likes	Dislikes
41	59	0	188775	Spot Saurian	Zuum	Hare	133	166	81	157	156	96	789	Good	Play	Potato
41	59	74	188849	Spot Saurian	Zuum	Hare	133	166	81	157	156	96	789	Good	Meat	Milk
42	0	0	188850	Rock Hound	Tiger	Golem	80	122	159	128	162	119	770	Good	Milk	Potato
42	23	0	190575	Rock Hound	Tiger	Golem	71	125	163	125	151	115	750	Good	Play	Cup Jelly
42	23	70	190645	Rock Hound	Tiger	Golem	71	125	163	125	151	115	750	Good	Potato	Cup Jelly
42	37	74	191699	Rock Hound	Tiger	Golem	88	127	154	135	150	112	766	Good	Meat	Potato
42	38	0	191700	Swimmer	Mew	???	146	90	105	143	129	126	739	Neutral	Milk	Meat
42	38	70	191770	Swimmer	Mew	???	146	90	105	143	129	126	739	Neutral	Potato	Cup Jelly
42	38	74	191774	Swimmer	Mew	???	146	90	105	143	129	126	739	Neutral	Battle	Meat
42	39	0	191775	Rock Hound	Tiger	Golem	76	128	155	107	148	127	741	Good	Tablet	Cup Jelly
42	39	74	191849	Rock Hound	Tiger	Golem	76	128	155	107	148	127	741	Good	Potato	Cup Jelly
42	40	0	191850	Rock Hound	Tiger	Golem	79	126	162	125	161	108	761	Good	Meat	Potato
42	40	74	191924	Rock Hound	Tiger	Golem	79	126	162	125	161	108	761	Good	Shoes	Milk
42	41	0	191925	Rock Hound	Tiger	Golem	85	123	140	115	157	130	750	Good	Cup Jelly	Potato
42	41	74	191999	Rock Hound	Tiger	Golem	85	123	140	115	157	130	750	Good	Rest	Cup Jelly
42	42	0	192000	Rock Hound	Tiger	Golem	85	111	157	121	163	133	770	Good	Shoes	Battle
42	43	0	192075	Rock Hound	Tiger	Golem	96	106	156	120	145	128	751	Good	Meat	Battle
42	44	0	192150	Rock Hound	Tiger	Golem	70	132	164	126	163	111	766	Good	Fish	Milk
42	45	0	192225	Rock Hound	Tiger	Golem	87	133	146	129	166	110	771	Good	Milk	Tablet
42	59	0	193275	Rock Hound	Tiger	Golem	93	126	141	117	156	116	749	Good	Potato	Battle
43	0	0	193350	Tyrant	Golem	Dragon	100	242	149	108	92	149	840	Bad	Rest	Tablet
43	38	0	196200	Tyrant	Golem	Dragon	115	229	137	94	97	158	830	Bad	Meat	Battle
43	38	70	196270	Tyrant	Golem	Dragon	115	229	137	94	97	158	830	Bad	Rest	Cup Jelly
59	23	0	267075	Draco Hopper	Hopper	Dragon	61	125	163	175	141	85	750	Bad	Play	Potato

As you can see, when I modified the PMin, the result was a new Main and Sub type monster (possibly just new main, with corresponding subtype tables for that main type).
Modifications of the PSec resulted in a new set of stats for the monster (provided PMin remained constant).
PFrame did not seem to have any affect when modified. I did not try manipulations of PLBA that do not fit with the calculated values from PMin, PSec and PFrame.

Also, the rare monster that can be found on this disc only showed up during a 1 second range.

I know it has been mentioned by Quincunx that likes and dislikes are generated randomly at the shrine, I just felt like including the ones I got with my monsters here. (some of the Rock Hounds seem to like to chew on shoes.)

Hopefully this helps the rest of you who are working along this line.
Some areas of interest that I did not get to with this research, and would like to see investigated or investigate myself are modifications to the TocEntries under [Disc] and PMin under [Entry 1].

Good Luck and Happy Ranching "

Greetings all, I've been back at it again.
This time the disc in question is my copy of Beck: Mellow Gold (BMG edition) which produces the rare Magnet (Henger/???) in MR1, but a Mum Mew in MR2.

This time I only modified the PSec value from Entry 2. I was unable to manufacture the mythical Moo, but the data gathered can still be used for comparing starting stats with altered .CCD files.

TocEntries	Pmin 1	Pmin 2	Psec 2	Pframe 2	PLBA 2	monster	main	sub	Lif	Pow	Int	Ski	Spd	Def	total	Nature	Likes	Dislikes
15	12	47	30	60	213660	Mum Mew	Mew	Pixie	104	71	115	156	152	129	727	Bad	Wool Ball	Battle
15	12	47	31	60	213735	Mum Mew	Mew	Pixie	102	78	98	156	170	103	707	Bad	Fish	Meat
15	12	47	32	60	213810	Mum Mew	Mew	Pixie	113	83	112	140	160	116	724	Bad	Cup Jelly	Milk
15	12	47	33	60	213885	Mum Mew	Mew	Pixie	109	74	112	164	156	99	714	Bad	Potato	Tablet
15	12	47	34	60	213960	Mum Mew	Mew	Pixie	112	82	113	159	149	117	732	Bad	Rest	Meat
15	12	47	35	60	214035	Mum Mew	Mew	Pixie	113	87	99	142	168	119	728	Bad	Candy	Milk
15	12	47	36	60	214110	Mum Mew	Mew	Pixie	116	77	97	162	159	118	729	Bad	Meat	Cup Jelly
15	12	47	37	60	214185	Mum Mew	Mew	Pixie	117	89	100	163	158	104	731	Bad	Fish Bone	Battle
15	12	47	38	60	214260	Mum Mew	Mew	Pixie	124	71	93	142	175	120	725	Bad	Fish Bone	Tablet
15	12	47	39	60	214335	Mum Mew	Mew	Pixie	105	90	101	135	156	119	706	Bad	Fish	Potato
15	12	47	40	60	214410	Mum Mew	Mew	Pixie	108	88	108	153	169	100	726	Bad	Rest	Meat
15	12	47	41	60	213485	Mum Mew	Mew	Pixie	114	85	86	143	165	122	715	Bad	Playmate	Potato
15	12	47	41	60	214485	Mum Mew	Mew	Pixie	114	85	86	143	165	122	715	Bad	Rest	Potato
15	12	47	42	60	214560	Mum Mew	Mew	Pixie	114	73	103	149	171	125	735	Bad	Candy	Meat
15	12	47	43	60	214635	Mum Mew	Mew	Pixie	125	68	102	148	153	120	716	Bad	Playmate	Meat
15	12	47	44	60	214710	Mum Mew	Mew	Pixie	99	94	110	154	171	103	731	Bad	Meat	Potato
15	12	47	45	60	214785	Mum Mew	Mew	Pixie	116	95	92	157	174	102	736	Bad	Tablet	Meat
15	12	47	46	60	214860	Mum Mew	Mew	Pixie	109	73	88	147	173	127	717	Bad	Fish	Battle
15	12	47	47	60	214935	Mum Mew	Mew	Pixie	126	69	105	158	147	108	713	Bad	Battle	Meat
15	12	47	48	60	215010	Mum Mew	Mew	Pixie	118	77	87	146	158	129	715	Bad	Play	Potato
15	12	47	49	60	215085	Mum Mew	Mew	Pixie	99	96	116	138	163	102	714	Bad	Rest	Potato
15	12	47	50	60	215160	Mum Mew	Mew	Pixie	107	72	104	147	173	111	714	Bad	Play	Milk

The purple entry above corresponds to Lisa's copy of Mellow Gold that does not produce a rare in either game.
Blue is for my copy of Mellow Gold.
And the red is for where I messed up and used an incorrect value for PLBA, but that had no affect on the monster created (as can be seen by the entry immediately below it with identical stats).

Unfortunately, it does not seem likely that the Moo monster can be gotten from this CD, as I doubt the different pressings would vary in length by up to 10 or more seconds in any direction (mine and Lisa's varied by 2 seconds), without additional or fewer tracks. And if that's the case, the odds of finding the rare by this method are astronomically small.

Perhaps some day I'll finish out the full minute for a complete set of Mum Mew's off this disc.

G¥d luck and happy ranching "

Enigma: You said "I know it has been mentioned by Quincunx that likes and dislikes are generated randomly at the shrine, I just felt like including the ones I got with my monsters here. (some of the Rock Hounds seem to like to chew on shoes.)"

Somehow I missed this bit earlier. Is it possible that likes and dislikes are generated from a list of possibilities, one of which is [breed-specific item] and each main breed (in the case of shoes, Tiger) has its own breed-specific item? For instance, just as possibilities, Tigers could have shoes as a possible like, while Pixies might have perfume as a possible like.

Just a thought.

Methinks I previewed a post and forgot to send it. Anyway, the point of it was that another thread says that the MR1 Shrine is specific to the frame when checking rares (a disc producing Magnet will produce a Suezo with one frame of difference in either direction), while from your data, the MR2 Shrine appears to be specific only to the second (as evidenced by the three Swimmers). So the two Shrine programs are different in that way, apparently.

And I was looking at those statistics for the Mum Mews trying to find some sort of pattern. I looked at differences between sequential stats, differences between those differences, and differences between those differences. I looked at the remainders in mod 2, mod 3, mod 4, mod 5 and mod 7. I made parallel one-dimensional scattergrams...

...and I can't see a pattern. Either there's a pseudorandom number table involved at some point (in which each original number gets translated to a different number), or there's some tricky math (can a PSX do trig functions on the fly?), or I'm just missing something which would be painfully obvious if someone told me the answer.

In line with my first research post, I notice that the highest value of any stat for the 21 different Mum Mews is never more than 30 higher than the lowest value for that stat. And what still baffles me and defies logic is that this holds true even for the composites; they range from 706 to 736.

Something to sleep on, I guess.

Actually, Quincunx, the MR1 shrine is also only exact to the second, not the frame when choosing rares.
This was demonstrated in my "The quest for...." thread, where I modified the Nirvana Nevermind subcode to produce the Karaoke monster in MR1.

And for the stat range, perhaps there is a set starting value for all stats, and some algorithm for adding pseudorandom amounts to each stats up to a given pseudorandom amount (that never varies by more than a set amount, apparently 30 for Rock Hounds, Mum Mews, Melon Suezos and KnightMocchi's, about 45 for Frozen Gaboos, according to yours and my stat charts).
But as for determining what those stats are, that's for someone with a lot more free time on their hands, I guess.

Monster likes and dislikes do seem to be from a predetermined list, at least for each main, with a lot of generic items that can be on all lists, and some specific to the race. My Rock Hounds never asked for a Playmate or Fish Bone, and the Mum Mew's never wanted some Shoes to chew on.

Perhaps the next big project would be to create a completely controlled .CCD file and see what all monsters can be created from it.

G¥d luck and happy ranching "