@Iguana said
"The overlapping I asked about, for example: the relationship between the Chiah and Atziluth and why they are both ordered around Chokmah."
Chiah is the faculty of human consciousness attributed to Chokmah - in fact, I most readily describe the s'fiyroth by these psychological / psychospiritual attributions, so I'm inclined to say that Chiah is usually what we mean when we speak of Chokmah.
Chokmah exists in all four worlds. Chiah does not - it's a Supernal faculty, a fundamental characteristic of the Atziyluthic part of us. Chiah has strong relationships with other, denser aspects of our psychospiritual being, but Chiah itself is inherently Atziyluthic.
Additionally, the Divine Name YHVH, which is the structural formula on which the Tree of Life and its primary attributions are based, assigns each of its four letters to one or more s'fiyroth, parts of the psyche, and World. This doesn't mean that all three of those attributes correspond to each other, though, only that they corresponded to one of the letters. Consider that you can say Donald Trump has horrible hair and billions of dollars, but that doesn't mean that everyone with horrible hair has billions of dollars. Similarly, Chokmah, Chiah, and Atziyluth are each the Yod of their respective frameworks, but are not necessarily cognate with each other.
"same with Briah and Neschamah"
Exactly the same, yes! Biynah, B'riyah, and N'shamah are each the Heh of their respective frameworks, but not are not necessarily matched to each other. The port that IS a one-for-one is Biynah and N'shamah. B'riyah isn't a one-for-one match, first because Biynah (like all s'fiyroth) exists in all four Worlds, and second because different training methods would open different levels at their Biynah stage. For example, the Golden Dawn would have opened to B'riyah at Biynah if they ever had any actual 8-3 initiates, but A.'. A.'. opens to B'riyah coincidental with the attainment of Tifereth.
"I apologize if my question seemed vague, I dont really have an appropriate handle of the concepts of Jechidah, Chiah, Neschamah, ruach and Nephesch."
You need that. It's basic. Things I referred you to earlier will help clarify what these are.
"Ive explored the 4 Worlds according to what I understood from the video I mentioned by Lon DuQuette and was hoping to find a relationship between them and the 5 parts of the soul.[.quote]
It's not a simple one,. For example, the correspondence when we start isn't the same as the correspondence as we progress. Rooach begins as a Y'tziyratic aspect of consciousness but, with sufficient initiation, opens itself to B'riyah as its native state. The most accurate diagram would be about function, not location, and would put the main aspects of consciousness between two adjacent Worlds, bridging them. An idea to play with is that the three "breaths" (Nefesh, Rooach, N'shamah) are the Three that interpenetrate the Four that are the Worlds.