Tuning Formulas
Tuning Home Contact

Fret Placement of a Given Cents Value

distance_from_nut = scale_length - ( scale_length / ( 10 ^ (cents / 3986.313714) ) )

Example:

For the first fret we'll use 100 cents and a 650mm scale length:

distance_from_nut = 650 - ( scale_length / ( 10 ^ (100 / 3986.313714) ) )

distance_from_nut = 650 - ( scale_length / ( 10 ^ 0.0250858 ) )

distance_from_nut = 650 - ( scale_length / 1.0594631 )

distance_from_nut = 650 - 613.5183032

distance_from_nut = 36.4816967mm

distance_from_nut = 36.5mm

For the second fret just plug 200 cents and keep the 650mm scale length. This formula is particularly handy because it works with any cents value, not just equal divisions of the octave.