I found the following links to be of interest regarding the distance of the barre (string bearing bar) of the tailpiece from the backside of the bridge.
Albeit the links are pertaining to violin however in regards to a 13 7/8 mando scale then using the concept contained in the link then the length of the fourth partial becomes 3.46 inches (3 ½ inches for all intents and purposes) #and hence that distance from the back of the saddle to the barre of the tailpiece.
One further step is to fret the 17th fret on the E, A and D and compare those notes to the notes of #the fourth partial on A string, D string and G string respectively when plucked between the bridge and the tailpiece.
I’ve scaled the dimension of the GAL drawing of #a signed Loar #F5 and discovered the above dimensions to be non applicable.
What I’m asking is any responses regarding your own mandolin(s) if this specification is applicable and if so what bridge is installed on your mando.
My guess would be that wolftones would not be evident nor would there be a need for wolftone suppressors such as grommets …..and furthermore my guess would be that the tonal timbre #is enhanced with 4th partial overtones being in sympathetic vibration with their open string counterparts ....1st,2nd,4th partials of the 4th partials between the bridge and tailpiece #would be inconsequential since their frequency range would be too high.
The other options to attain the above specs would be a Benedetto style tailpiece with an adjustable gut hanger , a custom made cast #bridge to suit the conditions or a lower bout length (from tailblock to the backface of a bridge) along the longitudinal axis #to accommodate a predetermined bridge for any future design/build.
Any thoughts or comments are appreciated .