Parabrahma Shakti Mahatripurasundari

A little that I know on Tripurasundari, as she is the Divine Mother as kamakala, the first impulse (spanda) of the Absolute ( the vibration) to manifest, as kama or urge, within time ( kala or digit). It’s the desire of the finite to become infinite that moves us to moksha, is within us.

Tri-pura-sundari is :
Tri - the three fold division we see throughout creation; The highest is Sat-Chit-Ananda , as Truth (pure) Consciousness and Bliss. My favorite from the Taittiriya Upanishad is all food is made of this triad – Tejas ( fire) , ap or jala (water or fluid) and prithvī (or earth) – She is found in all 3. She is found in the triad of the famous vyahrti’s of Bhu, Buvaha Suvah, the second of janah, tapah and satyam, and the connection between the two or maha from rishi Mahachamasya. We see this trifold in waking (jagrat), dream (swapna) and deep sleep (susupti). Yet we see Tripurasuundari transcend all ( turiyam)so She can encompass or be the root of all.

Pura or puri for city – and call our body the city of the divine that has 9 gates , some say 10 and even 11 gates. The nine is 3 squared ( again the trivrt karana) – or 9 entry points to the body. Yet pura is a field of action ( like our bodies) and the triads mentioned above are the fields of wake , dream, sleep, etc etc. Yet the 3 fields are also that of our will ( iccha), knowledge ( or jnana) and kriya or action. The divine will within us, that moves us to moksha is agni.

Sundari – a beautiful woman

Now, the mantra which is guarded is of great interest, as it too is a triad of 3 (3X3) phonemes or nine syllables/sounds that is used in a 15 phoneme mantra. The last syllable makes it Sodashi, or 16 divisions.
Each line of this 3 part ( 3 again!) mantra has a corresponding aspect of the Divine Mother.
Each line is considered a kuta or peak... one for Her face, one for Her below the neck, then the last below Her hips. From these 3 parts, you have the source of sound , the first vibration (spanda), the second is the first desire ( to manifest all this) or kama-raj, and the 3rd is shakti that force or divine prana ( the kundalini within).
What is delightful for me, is the 3 key bija mantras are amplified within the Sri Vidya mantra. So, like most mantras there are variations from different traditions...as so with Sri Vidya.The Vidya of Manmatha and Agastya are most widely known.