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Vyankatamakhin laid down clear rules:
1. Seven Notes (Sampoorna Ragas)
o Each Thāṭa must have all seven notes: Sa, Ri, Ga, Ma, Pa, Dha, Ni.
o No skipping of notes.
2. Fixed Notes
o Sa (Shadja) and Pa (Panchama) are fixed and do not change.
o They act as anchors in the scale.
3. Variable Notes
o Ri (Rishabha), Ga (Gandhara), Dha (Dhaivata), Ni (Nishada) each have three
possible variants (low, medium, high).
o Ma (Madhyama) has two variants (shuddha Ma and prati Ma).
4. Combinatorial Logic
o By combining these variants systematically, Vyankatamakhin arrived at 72
possible parent scales.
o Formula: 6 choices for Ri-Ga × 6 choices for Dha-Ni × 2 choices for Ma = 72.
Structure of the 72 Thāṭas
• Divided into two groups of 36 each:
o Shuddha Madhyama group (Ma1)
o Prati Madhyama group (Ma2)
• Each group is further divided into 12 chakras (sets), each containing 6 ragas.
• The chakras are given symbolic names like Indu, Netra, Agni, Veda, Bana, Ritu, Rishi,
Vasu, Brahma, Disi, Rudra, Aditya.
This systematic arrangement made it easy to identify and classify ragas.
Importance of Vyankatamakhin’s Contribution
1. Scientific Classification
He gave a logical framework to ragas, ensuring that musicians could understand their
structure rather than just memorize them.
2. Foundation for Carnatic Music
The Melakarta system remains the backbone of Carnatic music today. Every raga is traced
back to one of the 72 parent scales.
3. Influence on Hindustani Music
Though Hindustani music uses a different Thāṭa system (10 Thāṭas by Bhatkhande), the idea
of parent scales came from Vyankatamakhin’s work.
4. Balance of Tradition and Innovation
He respected traditional ragas but also created a framework for new ragas to emerge.