Market Value of the Firm vs. Total Capital (Equity) note, difference, represents, between

cyber21

Can someone clarify the difference between the two? Here’s my take based on the CFAI text:
MV of Firm = MV of Debt + MV of Preferred + MV of Equity
Total Capital AKA MV of Invested Capital = MV of Debt + MV of Equity
I’m not sure if these are accurate representations. Maybe the difference is that Total Capital represents just the asset base of the firm while MV of Firm considers MV of stakeholders’ interests?
Would be nice if someone can confirm. Thanks.
As a side note, I’m not talking about Enterprise Value.