Hair Dye - Please help!

Hi guys! I'm planning on using Joico Color Intensity on my hair this weekend, my hair is kind of a level 6 at my roots and fades down to a level 7 and i want to dye my hair purple.

I've figured I wont be able to have a blue purple because of my warm toned hair but I also don't want my hair to be too red. Is it possible to achieve a blue purple on my hair? And if so what color could I use?

If it's not achievable what colour would show up on my hair that's also not too red?

Thank you!