I'm not sure if we mean the same thing for "soul."
Fair enough. Its just that this is the usual terminology used in English. How well it reflects the Greek of Ptolemy is another issue.
This seems an appropriate point to give the link to Nicholas Campion's article:
Astronomy and Psyche in the Classical World: Plato, Aristotle, Zeno, Ptolemy. The article discusses the ideas of Ptolemy in comparison to the four main classical philosophical approaches and discusses notions of the soul and their contemporary cosmology.
http://journalofcosmology.com/AncientAstronomy118.html
While ,as Campion notes Ptolemy may have had various philosophical influences the naturalist outlook of Aristotle seems the strongest element in his work. The notion of soul used by Aristotle is only distantly related to the usual modern conception. He holds that the soul is the form, or essence of any living thing. It is not a distinct substance from the body. It is difficult to reconcile Aristotle's approach with the modern popular picture of a soul as a sort of spiritual substance "inhabiting" a body. One might bettter translate Aristotle's view as a 'lifeforce' rather than a 'soul' to avoid confusion.
This contrasts to Plato's notion of the soul who clearly believed the soul can exist independently of the body. He sets out his ideas in his work known as the
Phaedo amongst others.
Ptolemy, appears to rely on Aristotle's scheme, when he associated the intellectual, or rational, soul with Mercury and both the nutritive and sensitive souls to the Moon, writing that
Of the qualities of the soul, those which concern the reason and the mind are apprehended by means of the condition of Mercury...and the qualities of the sensory and irrational part are discovered from the one of the luminaries which is the more corporeal, that is, the moon (Tetrabiblos, translated by Frank E. Robbins, 1940, III.13).
In contrast it has been noted by many commentators that Vettius Valens was more influenced by Stoic ideas. The Stoics had a unique understanding of the soul. I am quoting from Beatrix Murrell's online article on Stoic philosophy:
For the Stoics God was Fire (active energy) and Logos (reason) diffused throughout the Cosmos.They believed, too, that the Law of Nature was God's material presence in the Universe. As cosmic reason, God was Providence. This Providence ordained all things.God was Fate, too.The Stoics believed Fate imposed upon humanity a certain determinism that allowed for freedom only within the context of a person's inner acceptance of cosmic necessity.
As for Fire, the Stoics likened this concept of God as seed that having in itself the "reasons of all things and the causes of what was, is, and shall be."This energy was the vital principle from which all the flora and fauna springs. The Stoics considered that through any stage of development, it was God (as a living force) who molded and dominated passive matter in terms of "progress."
The Stoics believed in soul ? even for the animals, though not a rational soul. In rational creatures, however, they considered the Pneuma (fiery breath) to be manifested at a higher degree of intensity as an "emanation from the world-soul."This Pneuma was a spark of the celestial Fire.
Essentially the Stoics believed that what God is for the world, the soul is for man.They declared that the Cosmos must be viewed as a single Whole ? with its "variety being referred to varying stages of condensation in Pneuma." Therefore, for the Stoics, the actual nature of a human person is the universal on a small scale ? a microcosm.
There is a parallel between the macrocosm and the microcosm. God, the Soul of the World, fills and penetrates it. Similarly, the human soul pervades and breathes through all the body ? informing and guiding it. In both the macrocosm and the microcosm, there is a ruling part.
The Stoics considered each human soul a "fragment of the universal divine force, yet not completely sundered from the parent-stock." They were talking about family. They declared that "We are thy offspring!"
http://www.novaroma.org/via_romana/stoicism.html
For the Stoics such connections operated through webs of "sympathy" and, being universal, connected stars to people. Hence when Valens describes the Sun as
The all seeing Sun, then, being truly fire-like and the light of the mind, the organ of perception of the soul his comments can be seen as embodying a Stoic viewpoint.
In Ptolemy soul in that chapter is the intellective soul - see Hindsight translation of Montulmo (and Regiomontanus comment).
I'm afraid I cant check this out as the English translation by Project Hindsight has been out of print for many years.
In my opinion it is something more connected with what we now call psychological portrait, not something about the "the level of evolution of the soul".
Your referring to Ptolemy here I assume not Valens? Not sure I recognise the idea of 'level of evolution of the soul' in Valens either. This sounds more Hindu or Theosophical to me.