Skip fretting system 34 2 11 - Revision history

TallKite: TallKite moved page 11\34 x 2\34 isomorphic pitch layout to Skip fretting system 34 2 11

2024-03-22T20:19:55Z

TallKite moved page 11\34 x 2\34 isomorphic pitch layout to Skip fretting system 34 2 11

← Older revision	Revision as of 20:19, 22 March 2024
(No difference)

BudjarnLambeth: Categorised this uncategorised page

2023-05-18T01:33:47Z

Categorised this uncategorised page

← Older revision		Revision as of 01:33, 18 May 2023
Line 5:		Line 5:
	The image below (or at right, or somewhere) indicates where octaves and odd harmonics lie. For readability, the numbers are written modulo octaves -- thus, 5 is written instead of 5/4, 3 is written instead of 3/2, etc. 34-edo is consistent in the 2.3.5.11.13.17.23 group, so the path between any two of those numbers indicates the best way to play the associated fraction. For instance, going up one string and down one fret will bring you from 5 to 3, that is from 5/4 to 3/2, and will thus result in 34-edo's best approximation to 6/5 = (3/2) / (5/4).		The image below (or at right, or somewhere) indicates where octaves and odd harmonics lie. For readability, the numbers are written modulo octaves -- thus, 5 is written instead of 5/4, 3 is written instead of 3/2, etc. 34-edo is consistent in the 2.3.5.11.13.17.23 group, so the path between any two of those numbers indicates the best way to play the associated fraction. For instance, going up one string and down one fret will bring you from 5 to 3, that is from 5/4 to 3/2, and will thus result in 34-edo's best approximation to 6/5 = (3/2) / (5/4).
	[[File:34-edo isomorphic-layout 17-steps-by-2-steps.png\|thumb\|Where the odd harmonics through the 23rd lie in an isomorphic 11\34 x 2\34 layout\|alt=]]		[[File:34-edo isomorphic-layout 17-steps-by-2-steps.png\|thumb\|Where the odd harmonics through the 23rd lie in an isomorphic 11\34 x 2\34 layout\|alt=]]
			[[Category:Skip fretting]]
			[[Category:Guitar]]
			[[Category:34edo]]

Yourmusic Productions: Comparison with other 34edo skip-fretting system.

2023-05-17T13:57:19Z

Comparison with other 34edo skip-fretting system.

← Older revision		Revision as of 13:57, 17 May 2023
Line 1:		Line 1:
	(This article describes one way to lay out the pitches of 34-edo on a grid. It is written with guitarists in mind, but it is relevant to other instruments with two-dimensional grid layouts -- even hexagonal ones.)		(This article describes one way to lay out the pitches of 34-edo on a grid. It is written with guitarists in mind, but it is relevant to other instruments with two-dimensional grid layouts -- even hexagonal ones.)

	One way to play in 34-edo is with 11 steps between strings and 2 steps between frets. This lets you use a 17-edo guitar, which is easier to play than a 34-edo guitar.		One way to play in 34-edo is with 11 steps between strings and 2 steps between frets. This lets you use a 17-edo guitar, which is easier to play than a 34-edo guitar. This gives you a wider range than [[Skip_fretting_system_34_2_9\|tuning in minor thirds]], while keeping it just as easy to play 5-limit chords, but makes certain other intervals harder to play, particularly octaves and ratios of 7&11.

	The image below (or at right, or somewhere) indicates where octaves and odd harmonics lie. For readability, the numbers are written modulo octaves -- thus, 5 is written instead of 5/4, 3 is written instead of 3/2, etc. 34-edo is consistent in the 2.3.5.11.13.17.23 group, so the path between any two of those numbers indicates the best way to play the associated fraction. For instance, going up one string and down one fret will bring you from 5 to 3, that is from 5/4 to 3/2, and will thus result in 34-edo's best approximation to 6/5 = (3/2) / (5/4).		The image below (or at right, or somewhere) indicates where octaves and odd harmonics lie. For readability, the numbers are written modulo octaves -- thus, 5 is written instead of 5/4, 3 is written instead of 3/2, etc. 34-edo is consistent in the 2.3.5.11.13.17.23 group, so the path between any two of those numbers indicates the best way to play the associated fraction. For instance, going up one string and down one fret will bring you from 5 to 3, that is from 5/4 to 3/2, and will thus result in 34-edo's best approximation to 6/5 = (3/2) / (5/4).
	[[File:34-edo isomorphic-layout 17-steps-by-2-steps.png\|thumb\|Where the odd harmonics through the 23rd lie in an isomorphic 11\34 x 2\34 layout\|alt=]]		[[File:34-edo isomorphic-layout 17-steps-by-2-steps.png\|thumb\|Where the odd harmonics through the 23rd lie in an isomorphic 11\34 x 2\34 layout\|alt=]]

Fredg999: Fredg999 moved page 17\34 x 2\34 isomorphic pitch layout to 11\34 x 2\34 isomorphic pitch layout: Fix typo

2023-05-17T02:11:33Z

Fredg999 moved page 17\34 x 2\34 isomorphic pitch layout to 11\34 x 2\34 isomorphic pitch layout: Fix typo

← Older revision	Revision as of 02:11, 17 May 2023
(No difference)

Jeff Brown: I had written 17 (steps) where I meant 11 (steps)

2023-05-16T23:10:28Z

I had written 17 (steps) where I meant 11 (steps)

← Older revision		Revision as of 23:10, 16 May 2023
Line 1:		Line 1:
	(This article describes one way to lay out the pitches of 34-edo on a grid. It is written with guitarists in mind, but it is relevant to other instruments with two-dimensional grid layouts -- even hexagonal ones.)		(This article describes one way to lay out the pitches of 34-edo on a grid. It is written with guitarists in mind, but it is relevant to other instruments with two-dimensional grid layouts -- even hexagonal ones.)

	One way to play in 34-edo is with 17 steps between strings and 2 steps between frets. This lets you use a 17-edo guitar, which is easier to play than a 34-edo guitar.		One way to play in 34-edo is with 11 steps between strings and 2 steps between frets. This lets you use a 17-edo guitar, which is easier to play than a 34-edo guitar.

	The image below (or at right, or somewhere) indicates where octaves and odd harmonics lie. For readability, the numbers are written modulo octaves -- thus, 5 is written instead of 5/4, 3 is written instead of 3/2, etc. 34-edo is consistent in the 2.3.5.11.13.17.23 group, so the path between any two of those numbers indicates the best way to play the associated fraction. For instance, going up one string and down one fret will bring you from 5 to 3, that is from 5/4 to 3/2, and will thus result in 34-edo's best approximation to 6/5 = (3/2) / (5/4).		The image below (or at right, or somewhere) indicates where octaves and odd harmonics lie. For readability, the numbers are written modulo octaves -- thus, 5 is written instead of 5/4, 3 is written instead of 3/2, etc. 34-edo is consistent in the 2.3.5.11.13.17.23 group, so the path between any two of those numbers indicates the best way to play the associated fraction. For instance, going up one string and down one fret will bring you from 5 to 3, that is from 5/4 to 3/2, and will thus result in 34-edo's best approximation to 6/5 = (3/2) / (5/4).
	[[File:34-edo isomorphic-layout 17-steps-by-2-steps.png\|thumb\|Where the odd harmonics through the 23rd lie in an isomorphic 17\34 x 2\34 layout]]		[[File:34-edo isomorphic-layout 17-steps-by-2-steps.png\|thumb\|Where the odd harmonics through the 23rd lie in an isomorphic 11\34 x 2\34 layout\|alt=]]

Jeff Brown: start it

2023-05-16T23:08:25Z

start it

New page

(This article describes one way to lay out the pitches of 34-edo on a grid. It is written with guitarists in mind, but it is relevant to other instruments with two-dimensional grid layouts -- even hexagonal ones.)

One way to play in 34-edo is with 17 steps between strings and 2 steps between frets. This lets you use a 17-edo guitar, which is easier to play than a 34-edo guitar.

The image below (or at right, or somewhere) indicates where octaves and odd harmonics lie. For readability, the numbers are written modulo octaves -- thus, 5 is written instead of 5/4, 3 is written instead of 3/2, etc. 34-edo is consistent in the 2.3.5.11.13.17.23 group, so the path between any two of those numbers indicates the best way to play the associated fraction. For instance, going up one string and down one fret will bring you from 5 to 3, that is from 5/4 to 3/2, and will thus result in 34-edo's best approximation to 6/5 = (3/2) / (5/4).
[[File:34-edo isomorphic-layout 17-steps-by-2-steps.png|thumb|Where the odd harmonics through the 23rd lie in an isomorphic 17\34 x 2\34 layout]]