13 EDO

William Lynch
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13 EDO

Postby William Lynch » Sat Oct 15, 2016 2:52 pm

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.

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Dave Keenan
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Re: 13 EDO

Postby Dave Keenan » Sat Oct 15, 2016 6:10 pm

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:x: A:bb: A:b: A
B:bb: B:b: B B:#: B:x:
C:bb: C:b: C C:#: C:x:
D:bb: D:b: D D:#: D:x:
E:bb: E:b: E E:#: E:x:
F:bb: F:b: F F:#: F:x:
G:bb: G:b: G G:#: G:x:
[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:b: A:#:
B:b: B:#:
C:bb: C C:x:
D:bb: D D:x:
E:bb: E E:x:
F:b: F:#:
G:b: 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:x: A:bb:
B:bb: B B:x:
C:b: C:#:
D:b: D:#:
E:b: E:#:
F:bb: F F:x:
G:bb: G G:x:

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

Re: 13 EDO

Postby William Lynch » Sat Oct 15, 2016 11:37 pm

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:x: A:bb: A:b: A
B:bb: B:b: B B:#: B:x:
C:bb: C:b: C C:#: C:x:
D:bb: D:b: D D:#: D:x:
E:bb: E:b: E E:#: E:x:
F:bb: F:b: F F:#: F:x:
G:bb: G:b: G G:#: G:x:
[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:b: A:#:
B:b: B:#:
C:bb: C C:x:
D:bb: D D:x:
E:bb: E E:x:
F:b: F:#:
G:b: 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:x: A:bb:
B:bb: B B:x:
C:b: C:#:
D:b: D:#:
E:b: E:#:
F:bb: F F:x:
G:bb: G G:x:


Ah ok that makes sense just like 11 is every other note of 22.

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herman.miller
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Joined: Sun Sep 06, 2015 8:27 am

Re: 13 EDO

Postby herman.miller » Sun Oct 16, 2016 11:30 am

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


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