If your music blog was posting specific types of music for example club remixes of popular songs. You may want to find related blogs and post meaningful comments and link to your site. But again meaningful not spam comments. Don't use your website name in place of your name on wordpress sites user your real name link to your site when available and be genuine with your comments.
Find music related forums, spend a few weeks or months posting and contributing to build up reputation, make sure you are not only replying to threads but creating new threads which people are replying to. Once you have built up some reputation and posts, see what the forum rules are on signature links and if it's ok create one to your blog.
Keep up to date with music in Google News, and when you see a news article relevant to your blog. Read the article comment and link back to your website if possible.
Contact related blog owners, friends etc ask if they will link to your blog.
You need dofollow links from relevant quality web pages to rank higher in the organics. For traffic you just need to build a following.