Incidentally, Anglicanism is not included in the above, because tradition--while openly and famously heralded by Anglicans--is to be used in order to comprehend Scripture. Scripture is the ultimate determiner of doctrine. It is not a separate and second source of "divine revelation" equal to Scripture...and that's what Tradition means in the RC, EO, OO, and other such churches.
Just a correction: the bolded statement is not accurate, at least for the EO (as I do not pretend to know fully the understanding of other faith expressions).
Tradition includes Scripture; it is everything received from Christ and the apostles
and is (therefore) also the continuing activity of the Holy Spirit in the concretized living-out of the Trinitarian existence and faith in the koinonia (this latter point is demonstrated in the book of Acts, which is also known as the book of the Holy Spirit).
The op mentioned Chalcedon, certainly a valuable question.
The matter is a bit more complex than typically presented owing to a number of factors
including localized understandings of language/terminology, local practice (as each location reflects also the culture, as culture is both the store of a society's value and manner, and the way through which we learn).
To wit, iirc the Alexandrian representatives would not vote without first consulting their pope so left without voting at all.
The Council had determined the issue by repeating the teachings of Cyril of Alexandria, then noting the agreement of Leo's statement with Cyril's.
Beneath this matter, there was also the variety in which the common language of the text was understood (though both Constantinople and Alexandria shared a language, it should be obvious to anyone who knows English and lives in the States, that the particular understanding of terminology varies by location).
Additionally, Ecumenical Councils tend to evaluate statements not only by their immediate meaning, but also by the impact of the meaning 'downstream' so to speak; the statement proposed by the Alexandrian party may have thus been fine in the immediate meaning but the logical extended expansion of the statement was understood to have flaws in the 'downstream' implications.
Finally, there was an historic rivalry between Alexandria and Constantinople which exacerbated the problem.
As communication has become sometimes easier (logistically) in the modern era, a number of talks and investigations of the matter have been ongoing. Among the EO, various well regarded persons (the late fr. John Romanides, fr. John McGuckin, etc.) have weighed in on the matter and found the disagreement to be less serious than previously considered (ie, the linguistic misunderstandings can be addressed); thus, talks will continue.
Talks with the Ethiopian Orthodox Church have tmk been concluded and it is now a matter of time for full communion to resume. Re: the Coptic Church, there are ongoing relations on the local level, for example joint youth events ongoing in both Europe and to the east.