There is a peculiar correspondence between the main mantras and dīkṣā of śrī and Kālī kulas.
1. Bālā Tripurasundarī – ādyā Kālī
2. Kādi pañcadaśī – Siddhakālī
3. ṣoḍaśī – Dakṣiṇā Kālī
4. Parā, Parāprāsāda, Prāsādaparā – Kāmakalākālī
5. ṣaḍanvaya śāmbhavī – Guhyakālī
6. Chatuścaraṇa vidyā – Haṃsakālī
The seventh and the final Nirvāṇa dīkṣā is said to be common to both Sundarī and Kālikā.
आदावेकाक्षरी आद्या बालावत्परिकीर्तिता |
सिद्धकाली पञ्चदशी विद्यावत्परिकीर्तिता ||
अथ वै दक्षिणाकाली षोडशी सैव कीर्तिता |
ततः कामकलाकली पराप्रासादवन्मता ||
चरणदीक्षा तथा प्रोक्ता यथा वै हंसकालिका |
ततस्तु गुह्यकाकाली षट्शाम्भवपरेश्वरी ||