Lambda ups and downs notation is a nonoctave extension of ups and downs notation developed by CompactStar, for use in EDTs and no-twos rank-2 temperaments. It combines ups and downs notation with the preexisting notation for the 9-note Lambda scale (4L 5s<3/1>) in 13edt.
Explanation
The 5|3 mode of the Lambda MOS scale is written with 9 naturals CDEFGHJAB. Two modules of accidentals are used, #/b to raise and lower by one chroma (L-s), ^/v to raise and lower by one EDTstep. Following the TAMNAMS convention for non-diatonic mosses, an interval that is k steps of lambda wide is referred to as a "k-mosstep" (e.g. a unison is a 0-mosstep and a tritave is a 9-mosstep). With the exception of the interval classes of ~7/3 and ~9/7 (the generators of the Lambda scale), large intervals use the "major" quality and small intervals use the "minor" quality. Additionally, "mid" is used for intervals halfway between major and minor, perfect and diminished, or perfect and augmented. "Up"/"down" can be prefixed to a quality to denote raising or lowering by 1 EDT-step.
Examples
| 9edt (L:s = 1:1)
|
| 0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
| C
|
D
|
E
|
F
|
G
|
H
|
J
|
A
|
B
|
C
|
| P0
|
P1
|
P2
|
P3
|
P4
|
P5
|
P6
|
P7
|
P8
|
P9
|
| 13edt (L:s = 2:1)
|
| 0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
13
|
| C
|
C#, Db
|
D
|
E
|
F
|
F#, Gb
|
G
|
H
|
H#, Jb
|
J
|
A
|
A#, Bb
|
B
|
C
|
| P0
|
A0, m1
|
M1
|
P2
|
m3
|
M3, m4
|
M4
|
m5
|
M5, m6
|
M6
|
P7
|
A7, m8
|
M8
|
P9
|
| 18edt (L:s = 2:2)
|
| 0
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
13
|
14
|
15
|
16
|
17
|
18
|
| C
|
^C, vD
|
D
|
^D, vE
|
E
|
^E, vF
|
F
|
^F, vG
|
G
|
^G, vH
|
H
|
^H, vJ
|
J
|
^J, vA
|
A
|
^A, vB
|
B
|
^B, vC
|
C
|
| P0
|
^0, v1
|
P1
|
^1, v2
|
P2
|
^2, v3
|
P3
|
^3, v4
|
P4
|
^4, v5
|
P5
|
^5, v6
|
P6
|
^6, v7
|
P7
|
^7, v8
|
P8
|
^8, v9
|
P9
|