Double-dotted half note in 7/8

[NeeraWM]

While the double-dotted note may be useful for the reason mentioned by John, it only works for 7/x measures, not for 5/x ones. The following is an attempt to fill out that gap in traditional rhythmic notation:
x-dots.JPG
"x-ing" a note adds a quarter of its value, x being half a dot. (We might be grateful to the inventor of this notation that he/she didn't decide on literally half dots).

I find this brilliant!
Who is the inventor of this x-dot and where is it documented?

[Anders Hedelin]

I'll come back to you when I've checked this out. Glad that you liked it.

[Fred G. Unn]

While the double-dotted note may be useful for the reason mentioned by John, it only works for 7/x measures, not for 5/x ones. The following is an attempt to fill out that gap in traditional rhythmic notation:
...
"x-ing" a note adds a quarter of its value, x being half a dot. (We might be grateful to the inventor of this notation that he/she didn't decide on literally half dots).

There have been other proposals for x-dots and +-dots too. Here's Read's "Music Notation" pg 123.

[Anders Hedelin]

Interesting. What I miss is not so much adding a third of the value, but an eighth of it, making it possible to have one note with the duration of 9/16, 9/8 etc.
I wouldn't like to propose a new sign though - I'll let others find or invent that.

[Anders Hedelin]

Personally I prefer the x to the + because it can straddle a staff line without becoming illegible (the + can't).

[Callasmaniac]

While the double-dotted note may be useful for the reason mentioned by John, it only works for 7/x measures, not for 5/x ones. The following is an attempt to fill out that gap in traditional rhythmic notation:
x-dots.JPG
"x-ing" a note adds a quarter of its value, x being half a dot. (We might be grateful to the inventor of this notation that he/she didn't decide on literally half dots).

I find this brilliant!
Who is the inventor of this x-dot and where is it documented?

Here is a lengthy explanation; but in *Finnish* (use Google translate): https://medium.com/@nuottin0rtti?p=febe3f987a30 . (X:n tarina) In short, Paavo Heininen used this x-marking already in 50s (learned it in Darmstadt). Later, his pupils in SibAcademy began to use it, too (Einojuhani Rautavaara, Kalevi Aho, Magnus Lindberg et al.).

[Anders Hedelin]

Thanks a lot, Callasmaniac, for the extensive info! I didn't know about the Darmstadt connection, but that certainly gives some weight to it.

I'm waiting for a possible comment from Norway, where I saw the x-dot for the first time. Maybe that will add something to the picture.

[OCTO]

Here is a lengthy explanation; but in *Finnish* (use Google translate): https://medium.com/@nuottin0rtti?p=febe3f987a30 . (X:n tarina) In short, Paavo Heininen used this x-marking already in 50s (learned it in Darmstadt). Later, his pupils in SibAcademy began to use it, too (Einojuhani Rautavaara, Kalevi Aho, Magnus Lindberg et al.).

Right, I have seen 5/4 in Rautavaara's music.