Retuning a banjo is arithmetic. Which strings move, by how many semitones, what the open set now spells, and which of your fretted shapes survive are all computable from the instrument's own pitches — so on this site they are computed. The only thing typed by hand on any of these pages is the list of target note names; every number below falls out of that.
The four tunings
| Tuning | Strings | Moved | Open strings read as |
|---|---|---|---|
| Double C | gCGCD | 2 | Csus2 / Gsus4 |
| Sawmill | gDGCD | 1 | Csus2 / Gsus4 |
| Open D | aDF#AD | 3 | D major |
| Double D | aDADE | 4 | Dsus2 / Asus4 |
Two tunings, one set of letters
Notice that double C and sawmill sound the same three letters. They are not the same tuning: the letters are arranged differently across the strings, so the bass note differs and the tunes that sit well in each differ with it. That is the kind of thing a derived table shows and a written list hides.
Retune or capo?
A retune changes what the open strings are; a capo changes what key they are in. They are not substitutes. If you want the open-G system in a different key, the capo pages have the arithmetic — including the fifth-string spike, which is the part nobody else models.