Step 1: Concept
Understanding the scale structure, parent Melakarta, and individual pitch positions (Swarasthanas) of Janya ragas.
Step 2: Scale and Parentage
Kedaragoula is an Audava-Sampurna Janya raga derived from the 28th Melakarta raga, Harikambhoji.
- Arohana (Ascent): $S\ R_2\ M_1\ P\ N_2\ S$ (Gandhara and Dhaivata are omitted)
- Avarohana (Descent): $S\ N_2\ D_2\ P\ M_1\ G_3\ R_2\ S$ (All seven notes are present)
Step 3: Enumerating the Swarasthanas
The swaras taken by Kedaragoula are:
1. Shadjam ($S$): Universal tonic, constant.
2. Chatusruti Rishabham ($R_2$): Second note.
3. Antara Gandharam ($G_3$): Present only in the descent.
4. Suddha Madhyamam ($M_1$): Fourth note.
5. Panchamam ($P$): Fifth constant note.
6. Chatusruti Dhaivata ($D_2$): Present only in the descent.
7. Kaisiki Nishadam ($N_2$): Seventh note.
Final Answer: The Swarasthanas of Kedaragoula are: Shadjam ($S$), Chatusruti Rishabham ($R_2$), Antara Gandharam ($G_3$), Suddha Madhyamam ($M_1$), Panchamam ($P$), Chatusruti Dhaivata ($D_2$), and Kaisiki Nishadam ($N_2$).