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Blood Moon Range = Variance from the above forced frequency
So if you have Freq 7 Range 0, You will have a horde every 7th day 100% of the time.
If you have Freq 7 Range 14, You will at minimum have a blood moon after 7 days, but potentially after as many as 21 days.
If you have a Freq 1 Range 21, Then you potentially could have a horde every day, Or it could take as many as 21 days; Statistically averaging somewhere around the middle.
Functionally, Option 2 essentially meets your request; Although you further define a minimum of 1 off day, so a frequency of 2 would be your goal, which is easily achieved with a small modlet that adds 2 to the list of options.
20 days range:
If I got a blood moon on day 2. This means it went from day 7, day 14, or day 21 roight? So, I still have two blood moon nights to come for that time period, which might also happen in a row.
So, with a scenario when 3 blood night occurred in a row, in theory, I might later have something like two and a half blood moon free holiday weeks? Wait, but there's also day 28, which might occur from day 8...
Wo-o-o-ow, dude, math is a real science...
Edit: was writing this at the same time as Shurenai, who gave an answer.
I would like a hordenight totally random without knowing range/days etc
When you start a new game it'll just say "random nights" nothing more, nothing less. You are totally in the dark as to when a hordenight will start
Well, the thing is that Blood Moon Night starts at 10 PM at Night (Ha-ha) You also get that thunder SFX and visuals just before it. So, not sure about "totally in the dark as to when" thing.
The Range IS the ramdomizer here. The only one. It gives you exactly what you describe - blood nights will become random and you won't exactly know when those will happen.
Try Frequency default 7 and set Range on 20. This will probably be the best experience for you.