13 EDO

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William Lynch
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13 EDO

Post by 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

Post by 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
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Joined: Mon Sep 21, 2015 9:27 pm

Re: 13 EDO

Post by 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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Re: 13 EDO

Post by 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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