It's a different kind of experience, but definitely clustered in the "feelings of intense pleasure" cluster. I'd say that musical frisson is much more of an emotionally driven feeling that encompasses a much larger part of the body. The intensity ranges all over the place from a small feeling of "nice!" to intense, almost physically disabling, feelings of absolute bliss that have left me weeping like I'd just experienced an overwhelming introduction to an infinite god. But most of the time it happens it's just a crawling feeling of pleasure waves along the upper back, shoulders, back of the neck and arms and a general feeling of happiness and joy.
In my case, there's sometimes feelings of "consciousness expansion", and "universal connection", similar to stories I've read from among various drug users or people who've experienced intense religious experiences -- at times I've felt intense focus, explosive creativity, and an "overclocked" sensation like my brain had been turned up to a faster performance ratio -- often for those moments of he frisson I can be intensely productive in creative pursuits. But it falls away as the frisson dissipates. I do not know if this is universal or not, there's pitifully little understanding of this phenomenon and sharing of information.
It's a very personal feeling, I don't know that I could ever do it with other people around, and it's tied to very specific passages of music that seem unique to the frissoner. As you can guess it's very addictive, and when I was younger I would spend hours auditioning albums looking for "frissonable" moments I would play over and over again for hours -- usually just a few seconds of some passage that would trigger it. However, pursuing this seems to "use-up" the feeling and after a while the passage would lose its triggering power.
If the universe was about to end, and I was allowed to have one final pleasurable experience replayed, selected from any orgasm of frisson I've ever had, I'd definitely pick from among my most intense frissons.