Skip fretting system 87 2 17 - Revision history

Tristanbay: Formatted, mentioned rodan temperament, made text a bit more formal

2025-01-20T10:07:11Z

Formatted, mentioned rodan temperament, made text a bit more formal

← Older revision		Revision as of 10:07, 20 January 2025
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	One way to play ~~87-edo is~~ on a 43.~~5-edo guitar~~, tuning each pair of adjacent strings 17\87 apart~~. That's~~ 234.5 cents, ~~3.4 cents~~ sharp ~~of a just~~ 8:7.		One way to play [[87edo]] on a guitar is with frets every 2\87 (43.5edo), tuning each pair of adjacent strings 17\87 apart, or about 234.5 cents, corresponding to the sharp [[~]][[8/7]] generator of [[Rodan\|rodan temperament]].

	This tuning ~~is probably more applicable to keyboards~~ than ~~real~~ stringed instruments ~~-- but then again~~ Ron Sword has built a ~~46-edo~~ guitar, and claims it is playable.		This tuning may work better on instruments like the [[harpejji]] better than on traditional stringed instruments. However, Ron Sword has built a 46edo guitar and claims it is playable.

	Among the possible [[skip fretting]] systems for 87-edo, one reason (87,2,17) is special is that every 17-limit interval spans at most 8 frets.		Among the possible [[skip fretting]] systems for 87-edo, one reason (87,2,17) is special is that every 17-limit interval spans at most 8 frets.

Xenwolf: add category

2021-05-02T16:59:55Z

add category

← Older revision		Revision as of 16:59, 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: start page

2021-05-02T04:35:09Z

start page

New page

One way to play 87-edo is on a 43.5-edo guitar, tuning each pair of adjacent strings 17\87 apart. That's 234.5 cents, 3.4 cents sharp of a just 8:7.

This tuning is probably more applicable to keyboards than real stringed instruments -- but then again Ron Sword has built a 46-edo guitar, and claims it is playable.

Among the possible [[skip fretting]] systems for 87-edo, one reason (87,2,17) is special is that every 17-limit interval spans at most 8 frets.

The following table describes where all the primes intervals lie in the (87,2,17) system:

{| class="wikitable"
! note
! fretboard position
|-
| 0 steps = 1 % 1
| string 0 fret 0
|-
| 87 steps = 2 % 1
| string 5 fret 1
|-
| 51 steps = 3 % 2
| string 3 fret 0
|-
| 28 steps = 5 % 4
| string 2 fret - 3
|-
| 70 steps = 7 % 4
| string 4 fret 1
|-
| 40 steps = 11 % 8
| string 2 fret 3
|-
| 61 steps = 13 % 8
| string 3 fret 5
|-
| 8 steps = 17 % 16
| string 0 fret 4
|-
| 22 steps = 19 % 16
| string 0 fret 11
|-
| 46 steps = 23 % 16
| string 2 fret 6
|-
| 75 steps = 29 % 16
| string 3 fret 12
|-
| 83 steps = 31 % 16
| string 5 fret - 1
|}

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.