The scales of Kumudakriya are as follows:
Aarohanam (Ascending) : S R1 G3 M2 D1 S’
Avarohanam (Descending) : S’ N3 D1 M2 G3 R1 S
It is a Janya raga, derived from Pantuvarali (Kamavardani), which is 51st on the Melakarta scheme.
This raga leaves us with a sense of awe and mystery. A very minor raga, I have not heard any other song in this though there are a couple of compositions by S.Mukund I believe.
Note : The 12 notes in the octave are named as below. Please note that C is used as Sa for the sake of simplicity as the scale is relative in Carnatic Music. Also note that the scales paint only a superficial picture of the raga as the gamakas(ornamentations) are a very important part of a raga.