Skip fretting system 38 2 11 - Revision history

TallKite: category

2024-03-22T20:07:18Z

category

← Older revision		Revision as of 20:07, 22 March 2024
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	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.		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:Skip fretting]] [[Category:38edo]]

Yourmusic Productions: fix math

2021-08-05T14:02:06Z

fix math

← Older revision		Revision as of 14:02, 5 August 2021
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	\| string 3 fret -1		\| string 3 fret -1
	\|-		\|-
	\| 18 steps = 11 % 8		\| 17 steps = 11 % 8
	\| string 2 fret ~~- 1~~		\| string 1 fret 3
	\|-		\|-
	\| 27 steps = 13 % 8		\| 27 steps = 13 % 8

Yourmusic Productions: Create Page

2021-08-05T11:08:57Z

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One way to play [[38-edo]] on a [[19-edo]] guitar is to tune each pair of adjacent strings 11\38 apart, or 347 cents.

Among the possible skip fretting systems for 38-edo, this is particularly convenient because 11/38 is an essentially perfect [[11/9]], just 0.04 cents from just, making it easy to tune adjacent strings by ear if you can sound the appropriate harmonics, while every other string is a perfect 5th apart, making 5-limit chords intuitive to play if you have previous experience playing members of the mandolin family, while also improving on 19-edo's approximations of nearly all the higher limit harmonics.

Here is where all the primes intervals lie:

{| class="wikitable"
! note
! fretboard position
|-
| 0 steps = 1 % 1
| string 0 fret 0
|-
| 38 steps = 2 % 1
| string 4 fret - 3
|-
| 22 steps = 3 % 2
| string 2 fret 0
|-
| 12 steps = 5 % 4
| string 2 fret -5
|-
| 31 steps = 7 % 4
| string 3 fret -1
|-
| 18 steps = 11 % 8
| string 2 fret - 1
|-
| 27 steps = 13 % 8
| string 3 fret -3
|-
| 3 steps = 17 % 16
| string 1 fret -4
|-
| 9 steps = 19 % 16
| string 1 fret -1
|-
| 20 steps = 23 % 16
| string 2 fret -1
|-
| 33 steps = 29 % 16
| string 3 fret 0
|-
| 36 steps = 31 % 16
| string 4 fret - 4
|}

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]]