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It is said creatures have different number of kalas, but avataras have more kalas than others. The number goes until 16 for a complete avatar (like Sri Krishna). Also the quantity doesn't mean "better", because all avataras are same God taking differents bodies.
I found 2 diferent list for these 16 kalas, on here:
- Daya – Compassion
- Dharjya – Patience
- Kshama – Forgiveness
- Nyaya – Justice
- Nirapeksha – Impartiality
- Niraskata – Detachment
- Tapasya – Meditation and Spiritual Powers
- Aparchitta – Invincibility
- Danasheel – Beneficience, Bestower of all wealth in the world and nature.
- Saundarjyamaya – Beauty Incarnate
- Nrityajna – Best of Dancers
- Sangitajna – Best of Singers
- Neetibadi – Embodiment of Honesty
- Satyabadi – Truth Itself
- Sarvagnata – Perfect master of all arts, such as poetry, drama, painting etc.
- Sarvaniyanta – Controller of All
and this other
Here in this answer it is very well explained different kinds of avataras
amśa, amśāmśa, āveśa, kalā, pūrṇa and paripūrṇatama (or paripūrṇa)
but now I'm asking about 16 kalas