An anniversary refers to the yearly recurrence of a date of an event. However, being an incredibly sentimental person who also takes notice of all sorts of minor details, I find myself placing significance in anniversaries that happen on the same day of the week.
For example, if an event occurred on Tuesday, June 10, 2008, today will be the sixth anniversary of said event. However, today also happens to be the first anniversary that falls on the same day of the week, i.e., Tuesday, June 10, 2014.
Is there a term that I can use for this, similar to the word "anniversary", or will I have to describe its significance?1
1 I'll probably have to either way, if the term turns out to be a really obscure one.