## 13 EDO

William Lynch
Posts: 45
Joined: Mon Sep 21, 2015 9:27 pm

### 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
Posts: 2189
Joined: Tue Sep 01, 2015 2:59 pm
Location: Brisbane, Queensland, Australia
Contact:

### 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	A	A																						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
William Lynch
Posts: 45
Joined: Mon Sep 21, 2015 9:27 pm

### Re: 13 EDO

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	A	A																						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
Ah ok that makes sense just like 11 is every other note of 22.
herman.miller
Posts: 37
Joined: Sun Sep 06, 2015 8:27 am

### Re: 13 EDO

Every other note of 26-EDO is also the notation Easley Blackwood used in his Twelve Microtonal Etudes.
Dave Keenan