Calculates fret spacing or distance from nut and from previous frets, provided that you input the Scale Length of your instrument. - Display with unit.

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This page accurately calculates the position of the fret slots for guitars and basses. Simply enter the the number of frets and the scale length in millimetres then.

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The following calculator will calculate fret offsets from the nut for all frets of an instrument, given the.

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Fret Calculator. This tool quickly calculates the required positions of your frets. All you have to do is enter your scale length**. You can enter your scale in mm of.

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This page accurately calculates the position of the fret slots for guitars and basses. Simply enter the the number of frets and the scale length in millimetres then.

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Deriving the fret placement formula; How to use this fret calculator. This fret calculator will help you determine the proper spacing your DIY guitar frets need to have.

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Calculates fret spacing or distance from nut and from previous frets, provided that you input the Scale Length of your instrument. - Display with unit.

Enjoy!

Fret Calculator. This tool quickly calculates the required positions of your frets. All you have to do is enter your scale length**. You can enter your scale in mm of.

Enjoy!

Deriving the fret placement formula; How to use this fret calculator. This fret calculator will help you determine the proper spacing your DIY guitar frets need to have.

Enjoy!

This page accurately calculates the position of the fret slots for guitars and basses. Simply enter the the number of frets and the scale length in millimetres then.

Enjoy!

You can figure out the scale length of that string by simply adding the distance from the nut to the farthest fret behind the nut to the nominal scale length. The latter is the quantity we really want, so when you are sawing fret slots you are measuring each slot position from the nut. They are found most often in wire strung instruments with extended range on the bass side, that is, with extra bass strings. Don't want any of the frets to be non-slanted, but want the change from slanted one way to slanted the other to be somewhere between two frets, say, between frets 7 and 8? Would you like a tool that will draw this and a whole lot more out for you so that you can import it directly into CAD or other drawing software? It is approximately 1. What in one culture would be considered way out of tune would be considered right on the money in another.{/INSERTKEYS}{/PARAGRAPH} Interestingly enough, the historical technique yielded good results for gut strings, as it made it possible to add compensation to the saddle-less bridges used at the time, something that we do now by moving the bridge saddle so that the actual scale length is a bit longer than the nominal length. Then there is some sort of capo mechanism just for the bass string, so you can make use of the extended range if you want it, or capo the bass string at the normal nut position so you can use the instrument in the normal fashion. The tabular results are useful for slotting fretboards by hand or making a fret spacing rule. The twelfth root of two is the number which, if multiplied by itself twelve times, would equal two. Unlike with the calculators above that return results as offsets from the nut, this calculator returns offsets from the highest end of the nut, which is usually the bass side of the nut. Want to make the bridge saddle not be slanted? Repeat this process for each fret position on your fingerboard. Then divide that quantity by This result is the distance from the first fret to the second fret. Some fretted basses and some guitars feature an extended range on the bass string s of the instrument. It is also interesting that the amount of compensation we add is generally empirically derived, as calculating it is a bit of a chore. This is typical for Fender electric guitars and a lot of other guitars as well. The question is, how do you calculate the fret placement for those extra frets? Those interested can read about the derivation of this constant below. Consider that the fundamental pitch of a vibrating perfect string goes up an octave if the length of the string is halved. See Gregory Byers nice paper on classic guitar intonation for more on this subject see the Links section. So you can basically just use this calculator to figure out the fret positions of each of the frets for an extended range string. {PARAGRAPH}{INSERTKEYS}Calculating the positions of the frets requires the simplest bit of math. From this it should be apparent that fret position offset will be a function of the twelfth root of two. Building a microtonal instrument, that is, one with tones between the conventional scale tones, and want to figure out where to locate those additional frets? And, if you are curious, what is the scale length of the extended range string? The best bet for making practical use of the output of the calculator is to start with a rectangular fingerboard blank and scribe a zero line perpendicular to one of the sides at one end of the face and also lines indicating the outside edges of the fingerboard. The invention of the pocket calculator made it possible to make use of a more accurate constant, and so these days we conventionally calculate fret positions for equal temperament by successively dividing the scale length minus the offset to the previous fret by This series of calculations puts the 12 th fret octave at exactly half the scale length, and we know from the physics of vibrating strings that halving the vibrating string length of a theoretically perfect string doubles the frequency. Want to know where this constant comes from? If you consider that the nut is the same as a 0 th fret, a generalized formulae for the calculation of the position of any fret n , given the scale length and the distance from the nut to the previous fret is:. You can figure out both of these by using the very first calculator above, the one that only provides the fret offset from the nut for a single fret, given the scale length and fret number. But for spreadsheets, scripts and CAD drawing software it is probably the cleanest way to go about the fret calculations. That is, from the position of the fret that is not slanted, but is oriented straight across the fingerboard and perpendicular to the centerline. The first place I saw this approach mentioned in print was in Cumpiano and Natelson's book Guitarmaking Tradition and Technology. Scribe offset lines from the outside edges of the fingerboard to indicate placement of the two outermost strings. The problem is that it requires exponentiation, which is difficult to do with pencil and paper or a four function calculator. Since real strings don't behave that way even the equal temperament based fret layout system is just an approximation of the way real strings need to be fretted. A number of suppliers use CNC machines to do the slotting and so can easily supply inexpensive slotted boards for any scale length and any number of frets. Try a big number, like , in this field. The really historical technique is called the rule of 18 , and it involves successively dividing the scale length minus the offset to the previous fret by This was easy enough to do using pencil and paper, although way back in the day they probably didn't even do that, instead relying on a mechanical device called a proportional divider to do the work. The picture here is of a bass version of the Colombian instrument called the bandola. Try a value like 7. I've also included information on the derivation of the fretting constant and an even more accurate formula you can use if you have spreadsheet or programming experience. A simpler way to end up with the same results is to use the calculator above with a scale length of 1. Using this calculator you specify the scale length for the other strings, then if you specify the fret number as, say, -2 it will return the offset from the nut of a fret placed two fret positions behind the nut. This way any errors in positioning your slots will not accumulate. Which constant should you use? You can figure these out by using the very first calculator above, the one that only provides the fret offset from the nut for a single fret, given the scale length and fret number. In this section we'll discuss how to calculate fret positions if what you have for tools is pencil and paper and maybe a four function calculator. Humans have very good hearing compared to other animals , and musicians have very good but hardly mathematically perfect musical pitch perception compared to other humans , but there are a large number of factors that affect perception of pitch. Some references specify a constant of The reason that all these seemingly disparate systems can be used to good effect is that even the mathematically accurate equal temperament constant assumes a theoretically perfect string which both exhibits no bending stiffness and doesn't need to be stretched to be fretted. This yields the distance from the first fret to the bridge. Specifying a value of zero means the nut i. Then measure and mark the positions of the fret slot ends down both of these string lines, and connect the two end marks for each fret slot with a scribed line. Given that the derivation of the fret spacing constant is based on the offset to the first fret for a given scale length, it is possible to derive constants for each fret position. In point of fact, there is no need to be any more accurate about fret placement and compensation than is necessary for the instrument to play in tune. A multiple scale length fretboard contains frets which are not perpendicular to the centerline of the fretboard. Here's the table:. For an eighth tone instrument, entering fret numbers 1. If you don't want to go through all of this, skip down to the next section where you'll find a nice javascript calculator that will do all the math for you. The offset from the nut can be calculated for any fret by using the following formula, presented in spreadsheet format and as a Javascript applet:. There are Javascript calculators that uses that formula here, too. The conventional calculator technique for calculating fret position is shown by example below. The following calculator will calculate fret offsets from the nut for all frets of an instrument, given the scale length. To calculate the distance from the nut to the first fret, divide the scale length by To calculate the distance from the nut to the second fret, subtract the distance from the nut to the first fret from the scale length. It was built by Alberto Paredes and features a multiple scale length fretboard. Using this calculator you specify the scale length, then you specify the fret number as a decimal fraction. Unless you are building or repairing historical instruments use the equal temperament constant of It is the currently accepted standard. By the way, you can do some special tricks with the non-slanted fret number parameter. For those of you that are not interested in the math, scroll down a bit and you'll find some nice calculators that will do all the math for you. Figuring out fret placement for a multiple scale length instrument may seem difficult but the process is fairly straight forward. If you are building a quarter tone instrument for example, entering fret number 1. If the reciprocal of the constant for each fret offset is taken, you end up with a table of values that can be multiplied by the scale length to yield the offset from the nut to each fret. But there is as they say these days an app for that, or actually an online compensation calculator available on this site. The relationship of the harmonics of a vibrating string to each other strongly affect the perception of the pitch of the fundamental. Add to this the distance from the nut to the first fret to get the distance from the nut to the second fret. See the derivation section below. Pitch perception is strongly correlated with culture. Since both the nut and bridge saddle can be slanted on a multiple scale length instrument this calculator also provides offsets for each end of the nut and each end of the bridge saddle as well. So to calculate the distance from the nut to the second fret:. Now, not everyone is really interested in how this works - some folks just want the answers. Use this to make your own fret rule if the only tools you have to do the math are a simple calculator or pencil and paper. Also consider that there are twelve tones in the equally tempered scale. Fret placement for the treble side is calculated and then placement for the bass side is calculated. If you calculate the offset for the first fret of any scale length and then divide the scale length by that offset, you get One may well ask why the formula above is not more conventionally used — after all, it can be used to calculate the offset of any fret without having to go through the entire series, and doesn't accumulate errors. The way these usually work is they have some additional frets behind the nut on the bass string only, and on that string they have a regular fret right at what is the nut position for all the other strings. Most folks that build instruments will never need to use this info, as the lutherie suppliers all provide fret slotting templates as well as slotted fret boards for all of the standard instruments. And of course you can use the calculators below to do the calculation work for you. The relationship between the two sides is determined from the position of the one fret that is at the same horizontal position in both scales. This is an interesting question for which there is no simple answer. First featured on the Renaissance instrument called the orpharion, multiple scale length fretboards can improve the intonation of the bass string s , albeit with some degradation in playability of the instrument.