Faceted bead ID

These arrived in my latest joblot but my attention was taken by some rather lovely coral.
Now I've studied these I'd love your input please.
Can anyone guide me with IDing these and to a website with information about faceting of beads?. There is lots of information about gemstone cutting for rings and brooches etc. but not a lot about styles of faceting for beads or the dates they were commonly used.
The brown ones feel really good quality and heavy. Carnelian or Citrine?. Ignore the clasps as they have been restrung. Smallest c6mm and largest are c14mm
The other deep purple ones have got me stumped (not difficult). Definitely gemstone, restrung with modern clear beads. To begin with I thought they were Amethyst as they have a purple hue but when the light shines through some of them are bright pink but some are so dark the light doesn't shine through at all. I put a piece of Amethyst on the light for comparison.
They vary from c8mm to c12mm so quite chunky.
I did wonder if they were something dyed but they are so different with the light shining through maybe not.
Thankyou for looking

 

The beads on top look like agate. The second string is probably glass; some black glass is "amethyst glass" and does that. Dunno on the purple lump.

 

On the "amethyst" nugget,what is the circle... looks like someone tried to drill a hole.

 

Thankyou for looking.
The unreliable gem tester is pretty reliable with glass and she says both of these are gemstones. Then her help gets less reliable when it comes to actually IDing them.
The purple chunk is definitely Amethyst, I just put it in there because I originally thought the purple beads were Amethyst but they aren't as you can see the difference in the same light source. The circle is indeed a hole

 

Found this neat little inclusion on one of the beads.

 

What does the rest of the bead look like?It's an amethyst pocket like you might see in an agate.

 

I'll take a photo in the morning but it looks just like the other very dark purple almost black beads. Interestingly, I've just tested a few bits of known Amethyst with Mary Contrary gem tester and she's spot on with that but she's not suggesting Amethyst for this at all . Really odd.

 

What does she suggest?It looks like an amethyst pocket my sons found in the center of a Lake Superior agate.

 

Using the purple filter she suggests Almandine,iolite,morganite,pyrope,tanzanite and tourmaline.

 

This type of faceting was fashionable during different periods and still is.

On Baltic amber this squarish faceting is called 'Königsberger Schliff', which means Königsberg cut. Königsberg is present day Kaliningrad, in East Prussia, now part of Russia. It is the capital of Baltic amber mining and processing.
Not that this info is of any use in this case.

QUOTE="KSW, post: 1674027, member: 8708"]The brown ones feel really good quality and heavy. Carnelian or Citrine?.[/QUOTE]

Carnelian.

Grapes.

She is just reading the content page of a gemstone book.

 

Carnelian.

Grapes.

She is just reading the content page of a gemstone book.[/QUOTE]
Think I need to buy a good book. I bought one online but it doesn’t have any pictures- really? a gemstone ID book with no photos . Lots about polariscopes and refractivity which is like giving my dog a book about Astro physics!.
By sight these are telling me Amethyst but MC and that bright pink are telling me otherwise so I just don’t know.

 

Pre-photograph era? And supplementary box with daguerrotypes maybe?
Try booksellers next time you go to a car boot sale. Many people think these books useless, which they aren't, but they often sell for a bargain.
Look for books which also list gemological properties, but in such a way that you can still understand what they are on about.

 

I’ll look in the children’s section then. At least they get pretty pictures!

 

The blow-up looks like either a dyed agate or banded amethyst.