Skip fretting system 94 7 16 - Revision history

BudjarnLambeth: Link and typo

2025-04-27T04:50:58Z

Link and typo

← Older revision		Revision as of 04:50, 27 April 2025
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	One way to play ~~94-edo~~ on a two-~~dimension~~ grid is to put 7\94 between each column and 16\94 between each row of notes.		One way to play [[94edo]] on a two-dimensional grid is to put 7\94 between each column and 16\94 between each row of notes.

	Among the possible layouts for 94-edo, the 7\94 x 16\94 system is remarkably convenient, in that every 13-limit interval spans at most 6 columns ("strings") and 8 rows ("frets"), and minor and major triads in close position fit in a 4x3 grid. In the 9-limit the octave is even more compact, spanning only 6 strings by 5 frets.		Among the possible layouts for 94-edo, the 7\94 x 16\94 system is remarkably convenient, in that every 13-limit interval spans at most 6 columns ("strings") and 8 rows ("frets"), and minor and major triads in close position fit in a 4x3 grid. In the 9-limit the octave is even more compact, spanning only 6 strings by 5 frets.

MisterShafXen: /* Feasibility for stringed instruments */

2025-01-11T23:16:30Z

Feasibility for stringed instruments

← Older revision		Revision as of 23:16, 11 January 2025
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	== Feasibility for stringed instruments ==		== Feasibility for stringed instruments ==

	The 7\94 x 16\94 layout is feasible as a [[skip fretting]] system for stringed instruments. It requires only 94/7 = 13.429 frets per ~~edo~~. However, on an instrument with only 6 strings and 24 frets, there will be no unisons, and no octaves available for notes on the middle four strings.		The 7\94 x 16\94 layout is feasible as a [[skip fretting]] system for stringed instruments. It requires only 94/7 = 13.429 frets per octave. However, on an instrument with only 6 strings and 24 frets, there will be no unisons, and no octaves available for notes on the middle four strings.

	== Layout ==		== Layout ==

TallKite: TallKite moved page Isomorphic grid layout 7\94 x 16\94 to Skip fretting system 94 7 16

2024-03-22T20:36:18Z

TallKite moved page Isomorphic grid layout 7\94 x 16\94 to Skip fretting system 94 7 16

← Older revision	Revision as of 20:36, 22 March 2024
(No difference)

Jeff Brown: mention how compact it is in the 9-limit

2021-05-10T23:01:02Z

mention how compact it is in the 9-limit

← Older revision		Revision as of 23:01, 10 May 2021
Line 1:		Line 1:
	One way to play 94-edo on a two-dimension grid is to put 7\94 between each column and 16\94 between each row of notes.		One way to play 94-edo on a two-dimension grid is to put 7\94 between each column and 16\94 between each row of notes.

	Among the possible layouts for 94-edo, the 7\94 x 16\94 system is remarkably convenient, in that every 13-limit interval spans at most 6 columns ("strings") and 8 rows ("frets"), and minor and major triads in close position fit in a 4x3 grid.		Among the possible layouts for 94-edo, the 7\94 x 16\94 system is remarkably convenient, in that every 13-limit interval spans at most 6 columns ("strings") and 8 rows ("frets"), and minor and major triads in close position fit in a 4x3 grid. In the 9-limit the octave is even more compact, spanning only 6 strings by 5 frets.

	== Feasibility for stringed instruments ==		== Feasibility for stringed instruments ==

Jeff Brown: capitalize

2021-05-10T22:37:46Z

capitalize

← Older revision		Revision as of 22:37, 10 May 2021
Line 7:		Line 7:
	The 7\94 x 16\94 layout is feasible as a [[skip fretting]] system for stringed instruments. It requires only 94/7 = 13.429 frets per edo. However, on an instrument with only 6 strings and 24 frets, there will be no unisons, and no octaves available for notes on the middle four strings.		The 7\94 x 16\94 layout is feasible as a [[skip fretting]] system for stringed instruments. It requires only 94/7 = 13.429 frets per edo. However, on an instrument with only 6 strings and 24 frets, there will be no unisons, and no octaves available for notes on the middle four strings.

	== ~~layout~~ ==		== Layout ==

	{\| class="wikitable"		{\| class="wikitable"

Jeff Brown: start page

2021-05-10T22:36:41Z

start page

New page

One way to play 94-edo on a two-dimension grid is to put 7\94 between each column and 16\94 between each row of notes.

Among the possible layouts for 94-edo, the 7\94 x 16\94 system is remarkably convenient, in that every 13-limit interval spans at most 6 columns ("strings") and 8 rows ("frets"), and minor and major triads in close position fit in a 4x3 grid.

== Feasibility for stringed instruments ==

The 7\94 x 16\94 layout is feasible as a [[skip fretting]] system for stringed instruments. It requires only 94/7 = 13.429 frets per edo. However, on an instrument with only 6 strings and 24 frets, there will be no unisons, and no octaves available for notes on the middle four strings.

== layout ==

{| class="wikitable"
! frequency
! fretboard position
|-
| 0 steps ~ 1 % 1
| string 0 fret 0
|-
| 0 steps ~ 1 % 1
| string 0 fret 0
|-
| 94 steps ~ 2 % 1
| string 5 fret 2
|-
| 55 steps ~ 3 % 2
| string 3 fret 1
|-
| 30 steps ~ 5 % 4
| string 1 fret 2
|-
| 76 steps ~ 7 % 4
| string 3 fret 4
|-
| 16 steps ~ 9 % 8
| string 1 fret 0
|-
| 43 steps ~ 11 % 8
| string 4 fret -3
|-
| 66 steps ~ 13 % 8
| string 5 fret -2
|-
| 85 steps ~ 15 % 8
| string 4 fret 3
|-
| 8 steps ~ 17 % 16
| string 4 fret -8
|-
| 23 steps ~ 19 % 16
| string 1 fret 1
|-
| 37 steps ~ 21 % 16
| string 1 fret 3
|-
| 49 steps ~ 23 % 16
| string 0 fret 7
|-
| 61 steps ~ 25 % 16
| string 6 fret -5
|-
| 71 steps ~ 27 % 16
| string 4 fret 1
|-
| 81 steps ~ 29 % 16
| string 2 fret 7
|-
| 90 steps ~ 31 % 16
| string 3 fret 6
|}

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 an exmaple of how that's done.

[[Category:Skip fretting]]