Skip fretting system 44 2 11 - Revision history

Yourmusic Productions: Improve linking.

2023-06-25T10:30:17Z

Improve linking.

← Older revision		Revision as of 10:30, 25 June 2023
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	One way to play ~~44-edo~~ on a ~~22-edo~~ guitar is to tune each pair of adjacent strings 300 cents apart -- a bit flat of 6:5.		One way to play [[44edo]] on a [[22edo]] guitar is to tune each pair of adjacent strings 300 cents apart -- a bit flat of 6:5.

	44-edo results in extreme improvements in 22-edo's approximations to harmonics 13, 19 and 23. Among the possible [[skip fretting]] systems for 44-edo, the (44,2,11) system is especially convenient because		44-edo results in extreme improvements in 22-edo's approximations to harmonics 13, 19 and 23. Among the possible [[skip fretting]] systems for 44-edo, the (44,2,11) system is especially convenient because
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	From these, the location of a compound intervals N can be added by vector-summing the string-fret positions of N's factors. See [[Skip fretting system 48 2 13]] for details on how that's done.		From these, the location of a compound intervals N can be added by vector-summing the string-fret positions of N's factors. See [[Skip fretting system 48 2 13]] for details on how that's done.

	[[Category:Skip fretting]]		[[Category:Skip fretting]] [[Category:44edo]]

Xenwolf: add category

2021-05-02T16:57:46Z

add category

← Older revision		Revision as of 16:57, 2 May 2021
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	From these, the location of a compound intervals N can be added by vector-summing the string-fret positions of N's factors. See [[Skip fretting system 48 2 13]] for details on how that's done.		From these, the location of a compound intervals N can be added by vector-summing the string-fret positions of N's factors. See [[Skip fretting system 48 2 13]] for details on how that's done.

			[[Category:Skip fretting]]

Jeff Brown: add a link

2021-05-02T03:30:21Z

add a link

← Older revision		Revision as of 03:30, 2 May 2021
Line 1:		Line 1:
	One way to play 44-edo on a 22-edo guitar is to tune each pair of adjacent strings 300 cents apart -- a bit flat of 6:5.		One way to play 44-edo on a 22-edo guitar is to tune each pair of adjacent strings 300 cents apart -- a bit flat of 6:5.

	44-edo results in extreme improvements in 22-edo's approximations to harmonics 13, 19 and 23. Among the possible skip fretting systems for 44-edo, the (44,2,11) system is especially convenient because		44-edo results in extreme improvements in 22-edo's approximations to harmonics 13, 19 and 23. Among the possible [[skip fretting]] systems for 44-edo, the (44,2,11) system is especially convenient because

	(1) Every ratio in the 2.5.7.11.13.19.29.31 subgroup lies within 4 frets of the root.		(1) Every ratio in the 2.5.7.11.13.19.29.31 subgroup lies within 4 frets of the root.

Jeff Brown: Include the unity interval

2021-05-02T03:23:27Z

Include the unity interval

← Older revision		Revision as of 03:23, 2 May 2021
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	! note		! note
	! fretboard position		! fretboard position
			\|-
			\| 0 steps = 1 % 1
			\| string 0 fret 0
	\|-		\|-
	\| 44 steps = 2 % 1		\| 44 steps = 2 % 1

Jeff Brown: start page

2021-05-02T00:52:43Z

start page

New page

One way to play 44-edo on a 22-edo guitar is to tune each pair of adjacent strings 300 cents apart -- a bit flat of 6:5.

44-edo results in extreme improvements in 22-edo's approximations to harmonics 13, 19 and 23. Among the possible skip fretting systems for 44-edo, the (44,2,11) system is especially convenient because

(1) Every ratio in the 2.5.7.11.13.19.29.31 subgroup lies within 4 frets of the root.

(2) It can be tuned with any ordinary 12-edo tuner.

Here is where all the primes intervals lie:

{| class="wikitable"
! note
! fretboard position
|-
| 44 steps = 2 % 1
| string 4 fret 0
|-
| 26 steps = 3 % 2
| string 2 fret 2
|-
| 14 steps = 5 % 4
| string 2 fret -4
|-
| 36 steps = 7 % 4
| string 4 fret -4
|-
| 20 steps = 11 % 8
| string 2 fret -1
|-
| 31 steps = 13 % 8
| string 3 fret -1
|-
| 4 steps = 17 % 16
| string 0 fret 2
|-
| 11 steps = 19 % 16
| string 1 fret 0
|-
| 23 steps = 23 % 16
| string 1 fret -5
|-
| 38 steps = 29 % 16
| string 2 fret -3
|-
| 42 steps = 31 % 16
| string 4 fret -1
|}

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