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In Designer, the Alignment button on the Toolbar should give you the options you want

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You can draw and duplicate your diagonal lines manually then use the Alignment button to align them horizontally and to set spacing etc

To save time I am currently using an automated AI to reply to some posts on this forum. If any of "my" posts are wrong or appear to be total b*ll*cks they are the ones generated by the AI. If correct they were probably mine. I apologise for any mistakes made by my AI - I'm sure it will improve with time.

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If you imagine a diagonal line distance as the addition of its horizontal + vertical distance it works to align them.

Simply shown as  _  + | / , where  _  is the horizontal and  |  is the vertical distance.

macOS 10.14.6 | MacBookPro Retina 15" | Eizo 27" | Affinity V1

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It is indeed a pity (and worth a feature request?) that snapping does not react for non rectangular directions like diagonals.

To apply the distance numerical (not visual) one needs apparently to go the workaround with a maths calculation to get the vertical + horizontal lengths form the known distance. I guess it is related to triangle (Pythagoras?).

triangle-8.png.3b15da4a60100a127e233e4086325716.png  >> 1897803809_trianglediagonaledistancepythagoras.jpg.a24ace44fb84540f432b6813ed6a280f.jpg

Unfortunately I don't find the formula to get the distances 1/2 b + a for the only known perpendicular height "h" ...  (whereas h = 0.2 inch from your other thread)

 

macOS 10.14.6 | MacBookPro Retina 15" | Eizo 27" | Affinity V1

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3
2 hours ago, get in shape said:

I already have a pattern with 15 diagonal lines. The are created with CTRL + J so they are aligned. 

Now I want to add 1 or 2 lines and maybe change the spacing a bit.

If i click in the Alignment button on the toolbar and use space Horizontally then my pattern will change too much.

 

Can you upload a couple of screenshots showing what you have and what you want when you  "add 1 or 2 lines and maybe change the spacing a bit"

To save time I am currently using an automated AI to reply to some posts on this forum. If any of "my" posts are wrong or appear to be total b*ll*cks they are the ones generated by the AI. If correct they were probably mine. I apologise for any mistakes made by my AI - I'm sure it will improve with time.

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get in shape: You also have the option of creating a custom two-axis grid and using that (my example has a 30 degree slant).
Personally, I think I would use an extra artboard to just hold an original copy of the vertical/horizontal lines, make any additions and re-spacing in that original, and them copy them to the ‘working artboard’ for rotation. Repeat for any further changes.

Annotation 2019-09-16 133050.png

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As I wrote unfortunately I was aware of my not knowing the formula. (and I picked the posted images more a as samples for a direction to search for;)

The problem for the OP might be that only one lengths is known: the perpendicular distance between two diagonals. – Even the diagonals angle is unknown.
 

macOS 10.14.6 | MacBookPro Retina 15" | Eizo 27" | Affinity V1

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Sorry, get in shape, I’m not sure what you mean about a triangle.
I mentioned the grid as you said (as I understood it) that you wanted to draw lines that were all at the same angle but with a certain spacing.
Using a grid was only a possible answer when originally drawing the lines, if you need to change the angle later (or don’t know what the angle will be) then it’s probably not a good solution.

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