Skip fretting system 58 2 17 - Revision history

TallKite: TallKite moved page 17\58 x 2\58 isomorphic instrument layout to Skip fretting system 58 2 17

2024-03-22T20:25:35Z

TallKite moved page 17\58 x 2\58 isomorphic instrument layout to Skip fretting system 58 2 17

← Older revision	Revision as of 20:25, 22 March 2024
(No difference)

BudjarnLambeth at 03:50, 9 January 2024

2024-01-09T03:50:57Z

← Older revision		Revision as of 03:50, 9 January 2024
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	This layout allows someone to play in [[58-edo]] on a [[29-edo]] guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.		This layout allows someone to play in [[58-edo]] on a [[29-edo]] guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.

	[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]		[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]
	The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the [[17-limit]] harmonics lies, plus the [[29/16\|29th harmonic]]. Since 58-edo is [[consistent]] in the 17-limit + 29, these harmonics' positions imply where every interval in that group lies. (For instance, to play [[7/6]] you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.) [[Octave]]s are indicated as powers of 2 (specifically 1, 2, 4 and 8).
			The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the [[17-limit]] harmonics lies, plus the [[29/16\|29th harmonic]].

			Since 58-edo is [[consistent]] in the 17-limit + 29, these harmonics' positions imply where every interval in that group lies. (For instance, to play [[7/6]] you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.)

			[[Octave]]s are indicated as powers of 2 (specifically 1, 2, 4 and 8).

	[[Category:58edo]]		[[Category:58edo]]
	[[Category:29edo]]		[[Category:29edo]]

BudjarnLambeth at 03:50, 9 January 2024

2024-01-09T03:50:30Z

← Older revision		Revision as of 03:50, 9 January 2024
Line 1:		Line 1:
	This layout allows someone to play in [[58-edo]] on a [[29-edo]] guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.		This layout allows someone to play in [[58-edo]] on a [[29-edo]] guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.
	[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]		[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]
	The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the [[17-limit]] harmonics lies, plus the [[29/16\|29th harmonic]]. Since 58-edo is [[consistent]] in the 17-limit + 29, these harmonics' positions imply where every interval in that group lies. (For instance, to play [[7/6]] you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.) ~~Octaves~~ are indicated as powers of 2 (specifically 1, 2, 4 and 8).		The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the [[17-limit]] harmonics lies, plus the [[29/16\|29th harmonic]]. Since 58-edo is [[consistent]] in the 17-limit + 29, these harmonics' positions imply where every interval in that group lies. (For instance, to play [[7/6]] you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.) [[Octave]]s are indicated as powers of 2 (specifically 1, 2, 4 and 8).
	[[Category:58edo]]		[[Category:58edo]]
	[[Category:29edo]]		[[Category:29edo]]

BudjarnLambeth: Added links to dead end page

2024-01-09T03:49:42Z

Added links to dead end page

← Older revision		Revision as of 03:49, 9 January 2024
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	This layout allows someone to play in 58-edo on a 29-edo guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.		This layout allows someone to play in [[58-edo]] on a [[29-edo]] guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.
	[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]		[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]
	The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, these harmonics' positions imply where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.) Octaves are indicated as powers of 2 (specifically 1, 2, 4 and 8).		The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the [[17-limit]] harmonics lies, plus the [[29/16\|29th harmonic]]. Since 58-edo is [[consistent]] in the 17-limit + 29, these harmonics' positions imply where every interval in that group lies. (For instance, to play [[7/6]] you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.) Octaves are indicated as powers of 2 (specifically 1, 2, 4 and 8).
	[[Category:58edo]]		[[Category:58edo]]
	[[Category:29edo]]		[[Category:29edo]]

Fredg999 category edits: Categories

2023-07-17T03:47:19Z

BudjarnLambeth at 12:23, 13 May 2023

2023-05-13T12:23:18Z

← Older revision		Revision as of 12:23, 13 May 2023
Line 7:		Line 7:
	[[Category:Layout]]		[[Category:Layout]]
	[[Category:Isomorphic]]		[[Category:Isomorphic]]
	~~[[Category:Mapping]]~~

BudjarnLambeth: Categorised this uncategorised page

2023-05-13T12:22:54Z

Categorised this uncategorised page

← Older revision		Revision as of 12:22, 13 May 2023
Line 2:		Line 2:
	[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]		[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]
	The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, these harmonics' positions imply where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.) Octaves are indicated as powers of 2 (specifically 1, 2, 4 and 8).		The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, these harmonics' positions imply where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.) Octaves are indicated as powers of 2 (specifically 1, 2, 4 and 8).
			[[Category:58edo]]
			[[Category:29edo]]
			[[Category:Guitar]]
			[[Category:Layout]]
			[[Category:Isomorphic]]
			[[Category:Mapping]]

Jeff Brown at 16:54, 10 May 2023

2023-05-10T16:54:10Z

← Older revision		Revision as of 16:54, 10 May 2023
Line 1:		Line 1:
	This layout allows someone to play in 58-edo on a 29-edo guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.		This layout allows someone to play in 58-edo on a 29-edo guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.
	[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]		[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]
	The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, ~~this implies~~ where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.) Octaves are indicated as powers of 2 (specifically 1, 2, 4 and 8).		The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, these harmonics' positions imply where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.) Octaves are indicated as powers of 2 (specifically 1, 2, 4 and 8).

Jeff Brown at 14:00, 10 May 2023

2023-05-10T14:00:09Z

← Older revision		Revision as of 14:00, 10 May 2023
Line 1:		Line 1:
	This layout allows someone to play in 58-edo on a 29-edo guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.		This layout allows someone to play in 58-edo on a 29-edo guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.
	[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]		[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]
	The diagram, which could be interpreted as part of the fretboard of a 10-string guitar ~~tuned this way~~, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, this implies where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.)		The diagram, which could be interpreted as part of the fretboard of a 12-string guitar, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, this implies where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.) Octaves are indicated as powers of 2 (specifically 1, 2, 4 and 8).

Jeff Brown: Fix the picture -- I had drawn 17\58 x 4\58 rather than 17\58 x 2\58

2023-05-10T13:25:27Z

Fix the picture -- I had drawn 17\58 x 4\58 rather than 17\58 x 2\58

← Older revision		Revision as of 13:25, 10 May 2023
Line 1:		Line 1:
	This layout allows someone to play in 58-edo on a 29-edo guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.		This layout allows someone to play in 58-edo on a 29-edo guitar, by tuning the guitar in neutral thirds -- that is, with 17\58 between each pair of adjacent strings.
	[[File:58-edo ~~17 x 2, mystery temperament~~.png\|thumb\|Where ~~all the harmonics~~ in the 17-limit + 29 group lie ~~in the~~ 17\58 x 2\58 layout.]]		[[File:58-edo 117x2.png\|thumb\|Where every harmonic in the 17-limit + 29 group lie on a 17\58 x 2\58 isomorphic layout]]
	The diagram, which could be interpreted as part of the fretboard of a 10-string guitar tuned this way, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, this implies where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.)		The diagram, which could be interpreted as part of the fretboard of a 10-string guitar tuned this way, shows where each of the 17-limit harmonics lies, plus the 29th harmonic. Since 58-edo is consistent in the 17-limit + 29, this implies where every interval in that group lies. (For instance, to play 7/6 you move up one string and down one fret, because that takes you from harmonic 3 to harmonic 7.)

← Older revision		Revision as of 03:47, 17 July 2023
Line 7:		Line 7:
	[[Category:Layout]]		[[Category:Layout]]
	[[Category:Isomorphic]]		[[Category:Isomorphic]]
			[[Category:Skip fretting]]