I will need a little time to fully wrap my head around what you are asking 
and how to implement it in TiddlyWiki. Unfortunately it does not yet make 
sense to me (perhaps my own limitation)

Here are some items that may clarify enough for you to find an answer.

Rather than say "Subdocuments DOC_A_A, DOC_A_B, both of which should 
inherit the tags from DOC_A,"
I would say "Subdocuments DOC_A_A, DOC_A_B, both of which should be tagged 
with the tiddler name DOC_A"

To me a TableOfContents is effectively a hierarchy of tags, Not a list of 
tiddlers tagged with a particular tag. SubTiddlers are tagged with their 
parent. So the parent recognises its children.
However you can have additional parents naming the same children and 
additional lists or hierarchies due to a tag.

The TOC macro is special in so far as it builds a tree starting at a root 
tiddler. However its quite easy to simultaneously tag a group of tiddlers 
with another tag to create a list.

This organises you notes at a document level

        DOC_A_A + TAG_1
        DOC_A_B +TAG_1
     DOC_B + TAG_1

A TOC on DOC_A with give you all its subordinates
A TOC on DOC with give you all its subordinates (all Documents)

What is TAG_A ? Lets use a new Tag TAG_1
So using this New TAG_1 it will list

If you get creative you can create a TOC of All Documents but only those 
tagged TAG_1

Best Wishes

On Friday, May 18, 2018 at 12:42:24 AM UTC+10, Heath Gordon wrote:
> Hey Tony, 
> Yeah I'm getting used to Tiddlywiki. It's pretty cool, but in no way 
> intuitive. 
> Okay so here's kind of what I was thinking. For the sake of example we 
> have 3 documents, DOC_A and DOC_B are semantically similar let's say TAG_A, 
> DOC_C has TAG_C.
> DOC_A is made of two subdocuments DOC_A_A, DOC_A_B, both of which should 
> inherit the tags from DOC_A, but as I implied, I don't really want them to 
> appear at the same level on the TOC.
>      DOC_A
>      DOC_B
>      DOC_C
> Were I to go to the twiddle for TAG_A, I would like to see DOC_A_A and 
> DOC_A_B and DOC_B_*. This is kind of how I've been taking notes (index 
> cards (DOC_A_*) of the important points that point to a source (DOC_A), 
> which I like to group semantically. So I'd like to be able to organize my 
> notes: at a document level and then at a semantic level.
> Hope that makes sense,
> Heath
> On Thursday, May 17, 2018 at 2:13:11 AM UTC+2, TonyM wrote:
>> Heath,
>> Have a look at the TOC TableOfContent Macros for insight to tag 
>> hierarchies. 
>> You can change the "root Tiddler(tag)" and using new tiddler here is a 
>> quick and easy way to construct a hierarchy.
>> A Lot of work has being done here so we can help you once you build a 
>> little more knowledge of TiddlyWiki.
>> Regards
>> Tony
>> On Thursday, 17 May 2018 07:38:20 UTC+10, Heath Gordon wrote:
>>> Yeah I"m reconsidering this, but the idea was to have a tiered tag 
>>> system. As in, if I had a Document, which was made up of the some 
>>> sub-documents, which at the very least have the same tags as the parent 
>>> document, I would only ever want to compare documents with documents and 
>>> subdocuments with subdocuments. I hope that makes sense. And one way I 
>>> thought about that was by having an uppercase and lowercase way of working 
>>> with it. But I don't think that's going to work.
>>> On Wednesday, May 16, 2018 at 11:27:26 PM UTC+2, PMario wrote:
>>>> Hi, 
>>>> I don't understand, why you want to change the tags to lowercase. In TW 
>>>> tags are case sensitive. ... So you loose context if you change it that 
>>>> way. 
>>>> Can you explain your usecase a bit closer? 
>>>> -m

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