Fret widths - Why do they get smaller as you go up the neck?


DuctileIron
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Joined: 09/11/16
Posts: 12
DuctileIron
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Joined: 09/11/16
Posts: 12
01/01/2024 4:01 pm

I'm sure I'm not the first to ask this but can't find it on the forum


# 1
ChristopherSchlegel
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ChristopherSchlegel
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01/01/2024 5:38 pm

The short answer is: in order to produce the correct interval sounds of the chromatic scale in higher registers.


The longer answer has to do with physics.  Essentially, musical tones are based on logarithmic ratios instead of linear, equal steps.  So, relatively lower sounds have wide, long, slow frequencies; conversely relatively high sounds have narrow, short, fast frequencies.  And because the distance between the notes is logarithmic that distance results in a requirement to shorten each fret spacing roughly 5% going up in pitch.


This is also the reason the strings of a piano are long & thick on the bass side & gradually get shorter & thinner on the treble side.


There are several sites on the internet that explain it in more detail & some with images.


https://music.stackexchange.com/questions/93731/does-guitar-fret-spacing-solely-depend-on-the-length-of-the-string


https://www.liutaiomottola.com/formulae/fret.htm


Wikipedia also has some good entries on musical notes & physics.


Hope that helps!


Christopher Schlegel
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# 2
DuctileIron
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DuctileIron
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01/14/2024 12:15 am
#2 Originally Posted by: ChristopherSchlegel

The short answer is: in order to produce the correct interval sounds of the chromatic scale in higher registers.


The longer answer has to do with physics.  Essentially, musical tones are based on logarithmic ratios instead of linear, equal steps.  So, relatively lower sounds have wide, long, slow frequencies; conversely relatively high sounds have narrow, short, fast frequencies.  And because the distance between the notes is logarithmic that distance results in a requirement to shorten each fret spacing roughly 5% going up in pitch.


This is also the reason the strings of a piano are long & thick on the bass side & gradually get shorter & thinner on the treble side.


There are several sites on the internet that explain it in more detail & some with images.


https://music.stackexchange.com/questions/93731/does-guitar-fret-spacing-solely-depend-on-the-length-of-the-string


https://www.liutaiomottola.com/formulae/fret.htm


Wikipedia also has some good entries on musical notes & physics.


Hope that helps!

Yes thanks


# 3
ChristopherSchlegel
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Joined: 08/09/05
Posts: 8,360
ChristopherSchlegel
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Posts: 8,360
01/14/2024 3:08 pm
#3 Originally Posted by: DuctileIron

Yes thanks

You're welcome.


 


Christopher Schlegel
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# 4
lilycollins9x
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lilycollins9x
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Posts: 9
01/16/2024 3:27 am

Narrower frets at higher pitches allow for easier fretting and more precise fretting. Wider low frets provide better support for chording and strumming without accidentally muting the strings. 


fnaf


# 5

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