13 EDO
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13 EDO
How do you notate 13 EDO? It's weird because father is an 8 note scale while glacial being a 7 note scale is not built from a chain of fifths.
- Dave Keenan
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Re: 13 EDO
In the Xenharmonikon article we recommend notating it as every 3rd note of 39-edo. But Cryptic Ruse has just made a reasonable case for notating it as every second note of 26-edo.
26-edo: (A:B, C:D, D:E, F:G, G:A = 4) (B:C, E:F = 3) (# = 1) :26-edo A AA
A
A
A B
B
B B
B
C
C
C C
C
D
D
D D
D
E
E
E E
E
F
F
F F
F
G
G
G G
G
[Use the horizontal scroll bar at the bottom of this post, to see the rest of 26-edo. -->] 13-edo: (A:B, C:D, D:E, F:G, G:A = 2) (B:C, E:F = 1.5) (# = 0.5) A
A
B
B
C
C C
D
D D
E
E E
F
F
G
G
Alternatively 13-edo: (A:B, C:D, D:E, F:G, G:A = 2) (B:C, E:F = 1.5) (# = 0.5) A A
A
B
B B
C
C
D
D
E
E
F
F F
G
G G
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- Posts: 45
- Joined: Mon Sep 21, 2015 9:27 pm
Re: 13 EDO
Ah ok that makes sense just like 11 is every other note of 22.Dave Keenan wrote:In the Xenharmonikon article we recommend notating it as every 3rd note of 39-edo. But Cryptic Ruse has just made a reasonable case for notating it as every second note of 26-edo.
26-edo: (A:B, C:D, D:E, F:G, G:A = 4) (B:C, E:F = 3) (# = 1) :26-edo A AA
A
A
A B
B
B B
B
C
C
C C
C
D
D
D D
D
E
E
E E
E
F
F
F F
F
G
G
G G
G
[Use the horizontal scroll bar at the bottom of this post, to see the rest of 26-edo. -->] 13-edo: (A:B, C:D, D:E, F:G, G:A = 2) (B:C, E:F = 1.5) (# = 0.5) A
A
B
B
C
C C
D
D D
E
E E
F
F
G
G
Alternatively 13-edo: (A:B, C:D, D:E, F:G, G:A = 2) (B:C, E:F = 1.5) (# = 0.5) A A
A
B
B B
C
C
D
D
E
E
F
F F
G
G G
- herman.miller
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Re: 13 EDO
Every other note of 26-EDO is also the notation Easley Blackwood used in his Twelve Microtonal Etudes.
- Dave Keenan
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Re: 13 EDO
Every other note of 26edo is now the recommended Sagittal notation for 13edo. See 13 near the top left of the periodic table: https://sagittal.org/