Reno...yes, that snug fit is important...which is one reason that the 8-side tuner fits better- even if you find an L-handle one.

Also.. 8 means it fits at all points, being twice 4. Six might work...but..

An OS15 just 'might' be or the lighter construction I worried about.

here is a place to check and be sure you get the right strings for any future changes.