Yes, 37edo is pretty awful. It is not consistent past the 13-odd-limit and only gets past the 7-limit if you omit 9's. But it has an extraordinarily accurate 8:11 at 17°37. So it's a shame not to notate that as e.g. C:F
![pakai or vai :/|\:](./images/smilies/pakai.png)
. But I feel the prohibition against using
![pakai or vai :/|\:](./images/smilies/pakai.png)
when the half-apotome exists and
![pakai or vai :/|\:](./images/smilies/pakai.png)
is not it, is too strong. The apotome
![flat :b:](./images/smilies/conventional_flat.png)
is 6°37. AB, CD, DE, FG, GA are 7°37 and BC, EF are 1°37.
It might be wise to notate it with only 5 nominals, like the 5n-EDOs. In that case we could just adopt the symbols for 30edo described here:
viewtopic.php?p=197#p197. As the 11x13-comma,
![srai or slai :)~|:](./images/smilies/srai.png)
is valid for 1°37, and the other symbols are the same as those you have already chosen. We'd also need a symbol for 4°37.
![phai or fai :/ /|:](./images/smilies/phai.png)
seems obvious, but it involves a size order reversal with
![patai or gai :/|):](./images/smilies/patai.png)
relative to their JI sizes. So I'll go with
![jatai or wai :(|):](./images/smilies/jatai.png)
here instead. e.g.
37edo: C C
C
C
D
D
D
D D
D
D
E
E
E
E E
E
E
G
G
G
G
G G
G
G
A
A
A
A A
A
A
C
C
C
C![srao or slao :)~!:](./images/smilies/srao.png)
By using B and F, you could avoid the 4°37 symbol.
37edo: C C
C
C
D
D
D
D D
D
D
E
E
E
E F F
F
F
G
G
G
G G
G
G
A
A
A
A B B
B
B
C
C
C![srao or slao :)~!:](./images/smilies/srao.png)
Alternatively we could use the symbol
![zai :|~:](./images/smilies/zai.png)
as 1°37, in a secondary role as the 13:35-comma. Its primary role being the 23-comma. We might then use
![pazai :/|~:](./images/smilies/pazai.png)
as 3°37 in a secondary role as 7:13-S-diesis, (primary role 5:23-S-diesis). Then there would be no size reversal with
![phai or fai :/ /|:](./images/smilies/phai.png)
as 4°37.
37edo: C C
C
C
D
D
D
D D
D
D
E
E
E
E E
E
E
G
G
G
G
G G
G
G
A
A
A
A A
A
A
C
C
C
C![zao :!~:](./images/smilies/zao.png)
37edo: C C
C
C
D
D
D
D D
D
D
E
E
E
E F F
F
F
G
G
G
G G
G
G
A
A
A
A B B
B
B
C
C
C![zao :!~:](./images/smilies/zao.png)