Skip fretting system 58 4 15 - Revision history

TallKite: TallKite moved page 4\58 x 15\58 isomorphic layout & skip-fretting system to Skip fretting system 58 4 15

2024-03-22T20:27:17Z

TallKite moved page 4\58 x 15\58 isomorphic layout & skip-fretting system to Skip fretting system 58 4 15

← Older revision	Revision as of 20:27, 22 March 2024
(No difference)

BudjarnLambeth at 03:55, 9 January 2024

2024-01-09T03:55:19Z

← Older revision		Revision as of 03:55, 9 January 2024
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	== Where the first primes intervals lie ==		== Where the first primes intervals lie ==
			[[File:58-edo 15x4.png\|thumb\|Where the harmonics lie in the 15\58 x 4\58 isomorphic layout]]

	The diagram below (or at right, or somewhere) is of a hypothetical 12-string guitar in this tuning. It shows where each of the odd [[harmonic]]s through the 29th lies. 1 represents [[octave]] [[Equivalence interval\|equivalents]] of the root (1/2, 1, 2, 4 ...), 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4 ...), etc.		The diagram below (or at right, or somewhere) is of a hypothetical 12-string guitar in this tuning. It shows where each of the odd [[harmonic]]s through the 29th lies. 1 represents [[octave]] [[Equivalence interval\|equivalents]] of the root (1/2, 1, 2, 4 ...), 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4 ...), etc.
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	Since 58-edo is [[consistent]] in the [[17-limit]] plus 29 group, the positions of the harmonics in that group imply how to play every [[interval]] in it. For instance, the interval [[10/7\|10:7]] lies two strings up on the same fret, because that will take you from harmonic 7 to harmonic 5.		Since 58-edo is [[consistent]] in the [[17-limit]] plus 29 group, the positions of the harmonics in that group imply how to play every [[interval]] in it. For instance, the interval [[10/7\|10:7]] lies two strings up on the same fret, because that will take you from harmonic 7 to harmonic 5.

	~~[[File:58-edo 15x4.png\|thumb\|Where the harmonics lie in the 15\58 x 4\58 isomorphic layout]]~~

	[[Category:Skip fretting]]		[[Category:Skip fretting]]
	[[Category:58edo]]		[[Category:58edo]]

BudjarnLambeth: Added links to dead end page

2024-01-09T03:54:40Z

Added links to dead end page

← Older revision		Revision as of 03:54, 9 January 2024
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	One way to play 58-edo on a 14.5-edo guitar is to tune each pair of adjacent strings 15\58 apart. That's about 310.3 cents, or 5.3 cents flat of 6:5.		One way to play [[58-edo]] on a [[28ed4\|14.5-edo]] guitar is to tune each pair of adjacent strings 15\58 apart. That's about 310.3 [[cents]], or 5.3 cents flat of [[6/5\|6:5]].

	== Where the first primes intervals lie ==		== Where the first primes intervals lie ==

	The diagram below (or at right, or somewhere) is of a hypothetical 12-string guitar in this tuning. It shows where each of the odd ~~harmonics~~ through the 29th lies. 1 represents octave equivalents of the root (1/2, 1, 2, 4 ...), 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4 ...), etc.		The diagram below (or at right, or somewhere) is of a hypothetical 12-string guitar in this tuning. It shows where each of the odd [[harmonic]]s through the 29th lies. 1 represents [[octave]] [[Equivalence interval\|equivalents]] of the root (1/2, 1, 2, 4 ...), 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4 ...), etc.

			Since 58-edo is [[consistent]] in the [[17-limit]] plus 29 group, the positions of the harmonics in that group imply how to play every [[interval]] in it. For instance, the interval [[10/7\|10:7]] lies two strings up on the same fret, because that will take you from harmonic 7 to harmonic 5.

	Since 58-edo is consistent in the 17-limit plus 29 group, the positions of the harmonics in that group imply how to play every interval in it. For instance, the interval 10:7 lies two strings up on the same fret, because that will take you from harmonic 7 to harmonic 5.
	[[File:58-edo 15x4.png\|thumb\|Where the harmonics lie in the 15\58 x 4\58 isomorphic layout]]		[[File:58-edo 15x4.png\|thumb\|Where the harmonics lie in the 15\58 x 4\58 isomorphic layout]]



	[[Category:Skip fretting]]		[[Category:Skip fretting]]
	[[Category:58edo]]		[[Category:58edo]]

Fredg999: Fredg999 moved page 4\58 x 15\48 isomorphic layout & skip-fretting system to 4\58 x 15\58 isomorphic layout & skip-fretting system: Fix typo

2023-05-15T13:50:27Z

Fredg999 moved page 4\58 x 15\48 isomorphic layout & skip-fretting system to 4\58 x 15\58 isomorphic layout & skip-fretting system: Fix typo

← Older revision	Revision as of 13:50, 15 May 2023
(No difference)

Jeff Brown: /* Where the first primes intervals lie */

2023-05-10T16:53:19Z

Where the first primes intervals lie

← Older revision		Revision as of 16:53, 10 May 2023
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	== Where the first primes intervals lie ==		== Where the first primes intervals lie ==

	~~In the~~ diagram the ~~strings are vertical and~~ the ~~frets are horizontal~~. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4~~, etc~~.), etc.		The diagram below (or at right, or somewhere) is of a hypothetical 12-string guitar in this tuning. It shows where each of the odd harmonics through the 29th lies. 1 represents octave equivalents of the root (1/2, 1, 2, 4 ...), 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4 ...), etc.

	Since 58-edo is consistent in the 17-limit plus 29 group, the positions of the harmonics in that group imply how to play every interval in it. For instance, the interval 10:7 lies two strings up on the same fret, because that will take you from harmonic 7 to harmonic 5.		Since 58-edo is consistent in the 17-limit plus 29 group, the positions of the harmonics in that group imply how to play every interval in it. For instance, the interval 10:7 lies two strings up on the same fret, because that will take you from harmonic 7 to harmonic 5.

Jeff Brown: Replace some text, which doesn't display correctly on a phone, with an image that has to

2023-05-10T16:36:55Z

Replace some text, which doesn't display correctly on a phone, with an image that has to

← Older revision		Revision as of 16:36, 10 May 2023
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	== Where the first primes intervals lie ==		== Where the first primes intervals lie ==

	In the ~~folowing~~ the strings are vertical and the frets are horizontal. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4, etc.), etc.		In the diagram the strings are vertical and the frets are horizontal. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4, etc.), etc.

	~~(Note that~~ 58-edo is consistent in the 17-limit plus 29~~. That is to say~~, of the harmonics ~~depicted below~~, the ~~most interesting ones are probably~~ the ~~values less than or equal to 17~~, ~~plus 29.)~~		Since 58-edo is consistent in the 17-limit plus 29 group, the positions of the harmonics in that group imply how to play every interval in it. For instance, the interval 10:7 lies two strings up on the same fret, because that will take you from harmonic 7 to harmonic 5.
			[[File:58-edo 15x4.png\|thumb\|Where the harmonics lie in the 15\58 x 4\58 isomorphic layout]]
	~~headstock on this side~~

	~~1 - 23 - - - -~~ 7 - 5
	~~- 5 3 - - - - - - 21~~		[[Category:Skip fretting]]
	~~- 21~~ - 15 ~~9 - - - - 11~~		[[Category:58edo]]
	~~- 11 - - 19 - 27 - -~~ -
	- ~~- - - - - - 17 - -~~
	~~- - 29 - - 25 - - - -~~
	~~- - - - - 13 - - - -~~
	~~bass - - 1 - 23 - - - - 7 treble~~
	~~strings~~ ~~- 7 - 5 3 - - - - - strings~~
	~~- - - 21 - 15 9 - - -~~
	~~- - - 11 - - 19 - 27 -~~
	~~27 - - - - - - - - 17~~
	~~- 17 - - 29 - - 25 - -~~
	~~- - - - - - - 13 - -~~
	~~- - - - 1 - 23 - - -~~
	~~- - - 7 - 5 3 - - -~~

	~~bridge on this side~~

	[[Category:Skip fretting]] [[Category:58edo]]

Jeff Brown: Created page with "One way to play 58-edo on a 14.5-edo guitar is to tune each pair of adjacent strings 15\58 apart. That's about 310.3 cents, or 5.3 cents flat of 6:5. == Where the first prime..."

2023-05-09T23:05:49Z

Created page with "One way to play 58-edo on a 14.5-edo guitar is to tune each pair of adjacent strings 15\58 apart. That's about 310.3 cents, or 5.3 cents flat of 6:5. == Where the first prime..."

New page

One way to play 58-edo on a 14.5-edo guitar is to tune each pair of adjacent strings 15\58 apart. That's about 310.3 cents, or 5.3 cents flat of 6:5.

== Where the first primes intervals lie ==

In the folowing the strings are vertical and the frets are horizontal. 1 represents octave equivalents of the root, 3 represents octave equivalents of the 3rd harmonic (3:2, 3:1, 3:4, etc.), etc.

(Note that 58-edo is consistent in the 17-limit plus 29. That is to say, of the harmonics depicted below, the most interesting ones are probably the values less than or equal to 17, plus 29.)

headstock on this side

1 - 23 - - - - 7 - 5
- 5 3 - - - - - - 21
- 21 - 15 9 - - - - 11
- 11 - - 19 - 27 - - -
- - - - - - - 17 - -
- - 29 - - 25 - - - -
- - - - - 13 - - - -
bass - - 1 - 23 - - - - 7 treble
strings - 7 - 5 3 - - - - - strings
- - - 21 - 15 9 - - -
- - - 11 - - 19 - 27 -
27 - - - - - - - - 17
- 17 - - 29 - - 25 - -
- - - - - - - 13 - -
- - - - 1 - 23 - - -
- - - 7 - 5 3 - - -

bridge on this side

[[Category:Skip fretting]] [[Category:58edo]]