I believe you can use the cable cast on for this. Cast on 30 in one color, then switch to the next and then the next. You'll just have to weave in the ends, afterwards.
You won't be able to knit this in the round, though. Your yarn will be at the wrong end of each color block after the first row. You'll need to knit it back and forth.
"Trust the pattern!"
Time flies like an arrow, but fruit flies like a banana.
Hop aboard while we follow the cloud-covered van of knitting harmony, man!! Woooo!! --Hedgehog
IngridKH on Ravelry