The Shuddha Madhyamam (M₁) equivalent of this raga is Kharaharapriya It is called Simhāravam[1] or Deshi Simhāravam[2] in Muthuswami Dikshitar school of Carnatic music.
The mnemonic phrase is sa ri gi mi pa dhi ni.
[1] Its ārohaṇa-avarohaṇa structure (ascending and descending scale) is as follows (see swaras in Carnatic music for details on below notation and terms): As it is a melakarta rāgam, by definition it is a sampoorna rāgam (has all seven notes in ascending and descending scale).
Hemavati's notes when shifted using Graha bhedam, yields 3 other major melakarta rāgams, namely, Keeravani, Vakulabharanam and Kosalam.
In Western music, Hemavati corresponds to Ukrainian Dorian scale.