Generator

The worst interval in each open chord, before and after the best possible compensation

For each shape, the largest departure of any interval from the just interval its name implies, in cents. Before compensation the worst is 15.6 cents; after a search over per-string saddle compensation it is 15.6. The search has six numbers to fix eight shapes with, and on this measure it finds nothing worth changing — because what is being measured is almost entirely equal temperament's own thirds, and a saddle moves a length rather than a temperament.

Drawn above with its standard settings, which is almost never how an essay draws it: an essay states the numbers it is arguing about, so the figure a reader meets there is about that argument rather than about the drawing in general. Every option a placement passes is checked against the ones this function actually reads, because an option it does not read is silently ignored and the figure quietly draws what is above instead.

It makes a noise. 5 of its 5 placements carry sound, built from the same numbers as the drawing, offering these buttons: The note it actually gives, 1.6 cents sharp, sounded with the one it was cut for, The note it actually gives, 1.8 cents sharp, sounded with the one it was cut for, The note it actually gives, 1.9 cents sharp, sounded with the one it was cut for, The note the 12th fret is cut for, The note the 19th fret is cut for.

Called by 1 essay

the blast radius of changing it

A guitar cannot be in tune

Three errors land on the same instrument — equal temperament's own thirds, the sharpening that comes from pressing a string down to a fret, and the fact that the only correction available is one length per string. Searching over every setting a luthier could choose leaves a worst-case error of about fifteen cents, and most of what is left is the temperament, which no saddle can reach.

tuning · The comma

All figures · What can be heard