Skip fretting system 63 3 17 - Revision history

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2025-07-01T07:24:50Z

Xenwolf: add category

2021-05-02T16:58:03Z

add category

← Older revision		Revision as of 16:58, 2 May 2021
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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]]

Jeff Brown: add a link

2021-05-02T03:30:36Z

add a link

← Older revision		Revision as of 03:30, 2 May 2021
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	One way to play 63-edo on a 21-edo guitar is to tune each pair of adjacent strings 17\63 apart. That's about 323.8 cents, or 8.2 cents sharp of 6:5.		One way to play 63-edo on a 21-edo guitar is to tune each pair of adjacent strings 17\63 apart. That's about 323.8 cents, or 8.2 cents sharp of 6:5.

	Among the possible skip fretting systems for 63-edo, the (63,3,21) system is especially convenient in that every 11-limit interval, and in fact every interval in the 2.3.5.7.11.17.29.31 subgroup, spans at most four frets.		Among the possible [[skip fretting]] systems for 63-edo, the (63,3,21) system is especially convenient in that every 11-limit interval, and in fact every interval in the 2.3.5.7.11.17.29.31 subgroup, spans at most four frets.

	Here is where all the primes intervals lie:		Here is where all the primes intervals lie:

Jeff Brown: Include the unity interval

2021-05-02T03:22:54Z

Include the unity interval

← Older revision		Revision as of 03:22, 2 May 2021
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	! note		! note
	! fretboard position		! fretboard position
			\|-
			\| 0 steps = 1 % 1
			\| string 0 fret 0
	\|-		\|-
	\| 63 steps = 2 % 1		\| 63 steps = 2 % 1

Jeff Brown: start

2021-05-02T03:12:34Z

start

New page

One way to play 63-edo on a 21-edo guitar is to tune each pair of adjacent strings 17\63 apart. That's about 323.8 cents, or 8.2 cents sharp of 6:5.

Among the possible skip fretting systems for 63-edo, the (63,3,21) system is especially convenient in that every 11-limit interval, and in fact every interval in the 2.3.5.7.11.17.29.31 subgroup, spans at most four frets.

Here is where all the primes intervals lie:

{| class="wikitable"
! note
! fretboard position
|-
| 63 steps = 2 % 1
| string 3 fret 4
|-
| 37 steps = 3 % 2
| string 2 fret 1
|-
| 20 steps = 5 % 4
| string 1 fret 1
|-
| 51 steps = 7 % 4
| string 3 fret 0
|-
| 29 steps = 11 % 8
| string 1 fret 4
|-
| 44 steps = 13 % 8
| string 1 fret 9
|-
| 6 steps = 17 % 16
| string 0 fret 2
|-
| 16 steps = 19 % 16
| string - 1 fret 11
|-
| 33 steps = 23 % 16
| string 0 fret 11
|-
| 54 steps = 29 % 16
| string 3 fret 1
|-
| 60 steps = 31 % 16
| string 3 fret 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.

← Older revision		Revision as of 07:24, 1 July 2025
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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:Guitar]] [[Category:63edo]]