Skip fretting system 31 3 7: Difference between revisions

TallKite (talk | contribs)
Created page with "The fret spacing is even wider than 12-edo, at 3\31 = 116.13¢. While there are other skip frettings for 31edo (see 31 2 9), this one is of par..."
 
Tristanbay (talk | contribs)
m Added information at the beginning of the article and fixed some conventions issues (misspellings, etc.)
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
The fret spacing is even wider than 12-edo, at 3\31 = 116.13¢. While there are other skip frettings for 31edo (see [[Skip fretting system 31 2 9|31 2 9]]), this one is of particular interest. It's fret spacing just happens to be extremely close to every other fret of the 41 2 9 skip fretting (117.07¢). As a result, any [[Kite guitar]] can be retuned to within a few cents of 62edo.
This fretting system follows both Orwell temperament with the interval between each string, 7\31, and Miracle temperament with the fret spacing, which is even wider than 12edo, at 3\31 = 116.13¢. While there are other skip frettings for 31edo (see [[Skip fretting system 31 2 9|31 2 9]]), this one is of particular interest. Its fret spacing just happens to be extremely close to every other fret of the 41 2 9 skip fretting (117.07¢). As a result, any [[Kite guitar]] can be retuned to within a few cents of 62edo. See [[Tuning A Kite Guitar To 31edo or 62edo]].


==Where the notes lie==
==Where the notes lie==
Line 5: Line 5:
===As a diagram===
===As a diagram===


In the folowing the strings are vertical and the frets are horizontal. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4, etc.), etc.
In the following the strings are vertical and the frets are horizontal. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4, etc.), etc.


                       nut
                       nut