This seems to only happen in Chrome (latest version 31.0.1650.48 m, but also earlier), but since it doesn't always happen it's hard to say for sure.
When streaming audio stored in Azure Blob storage, Chrome will occasionally play about 30-50% of the track and then stop. It's hard to reproduce, but if I clear the cache and play the file over and over again, it eventually happens. An example file can be found here.
The error is pretty much the same as what's described here, but I've yet to see the problem on any files hosted elsewhere.
Update: The Azure Blog log only gives AnonymousSuccess messages, no error messages. This is what I get:
1.0;2013-11-14T12:10:10.6629155Z;GetBlob;AnonymousSuccess;200;3002;269;anonymous;;p3urort;blob;"http://p3urort.blob.core.windows.net/tracks/bd2fd171-b3c5-4e1c-97ba-b5109cf15098";"/p3urort/tracks/bd2fd171-b3c5-4e1c-97ba-b5109cf15098";c377a003-ea6b-4982-9335-15ebfd3cf1b1;0;160.67.18.120:54132;2009-09-19;419;0;318;7663732;0;;;"0x8D09A26E7479CEB";Friday, 18-Oct-13 14:38:53 GMT;;"Mozilla/5.0 (Windows NT 6.1; WOW64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/31.0.1650.48 Safari/537.36";"http://***
.azurewebsites.net/";