Skip fretting system 31 3 7 - Revision history

Tristanbay: Added information at the beginning of the article and fixed some conventions issues (misspellings, etc.)

2023-10-19T04:55:00Z

Added information at the beginning of the article and fixed some conventions issues (misspellings, etc.)

← Older revision		Revision as of 04:55, 19 October 2023
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. See [[Tuning A Kite Guitar To 31edo or 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

TallKite: added link to the 31edo/62edo page

2023-08-13T19:28:11Z

added link to the 31edo/62edo page

← Older revision		Revision as of 19:28, 13 August 2023
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.		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. See [[Tuning A Kite Guitar To 31edo or 62edo]].

	==Where the notes lie==		==Where the notes lie==

TallKite: 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..."

2023-08-13T00:45:57Z

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..."

New page

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.

==Where the notes lie==

===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.

nut
- - - - - - - -
- - - 9 - - - -
- - - - - 13 - 9
- - - - 3 7 - -
bass - 1 - 11 - - - - treble
strings - - 5 - - 1 - 11 strings
- - - - - - 5 -
- - - - - - - -
9 - - - - - - -
- - - - 9 - - -
- - - - - - - -
bridge
9 is shown twice because it's such an outlier. Note the awkwardness of playing do-re-mi (1-9-5).

===As a table===
{| class="wikitable"
!interval
!fretboard vector
(strings, frets)
|-
|unison
| +3, -7
|-
|2/1 = 31\31
| +4, +1
|-
|3/2 = 18\31
| +3, -1
|-
|5/4 = 10\31
| +1, +1
|-
|7/4 = 25\31
| +4, -1
|-
|11/8 = 14\31
| +2, 0
|-
|13/8 = 22\31
| +4, -3
|}

From these, the location of any compound interval can be added by vector-summing the string-fret positions of the interval's factors. See [[Skip fretting system 48 2 13]] for details on how that's done.

[[Category:Skip fretting]]
[[Category:31edo]]