Add Rapid with Increment to the Quickplay Buttons

@IsaVulpes

for rapid time control, i now think that anything between 10+2 to 10+5 instead of the custom button would be perfect.

the reasons why i prefer 10+5 or 10+2 over 15+5:

1. simply popularity, shorter time control get more players:
lichess.org/stat/rating/distribution/blitz
292,343 Blitz players this week.
lichess.org/stat/rating/distribution/rapid
131,198 Rapid players this week.
lichess.org/stat/rating/distribution/classical
66,522 Classical players this week.

2. symmetry:
3+0 , 3+2
5+0 , 5+3
10+0, 10+x

it will be easier for people to switch from 10+0 to something like 10+2 or 10+5 if all they want is to avoid time scrambles

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@IsaVulpes

as for you analysis to my classical statictis, i think you are correct, i now see that 20+10 would be acceptable, but, there are still tiny issues, that would make me still lean towrds 15+15 slightly:

since people do actually prefer shorter time controls, in shorter games (decided in first 20 or 30 moves), the 15+15 sounds faster, and would end sooner

personally, one of my current weak points are endgames, and i loose many endgames even when i have an advantage, this happens allot in my blitz games, so i guess i always like to get any extra increment that i could get

and the 15+15 kinda give me less time to waste in the middle game, and give to me later inform of increment

probably also, the 15minute + increment sound faster and may encourage more users to play, since maybe 20minute + increment sounds slower, .. so we get larger player pool, maybe better quality players.

I have created a little script to see which time controls are actually more popular, it was tested on "lichess_db_standard_rated_2017-04.pgn" , supposedly the smallest size file with detailed time data, and relatively recent compared to the site age.

the results:

github.com/hash11011/LichessTimeStatsCount/blob/master/ConsoleAppLichess1-result.txt

notice that there was no rapid time control at the time, it was still called classical

// [TimeControl "600+0"] 1254395
// [tournament] [TimeControl "600+0"] 282790
// [TimeControl "600+2"] 17682
// [TimeControl "600+3"] 18496
// [TimeControl "600+5"] 51418
// [TimeControl "600+10"] 34218

10+5 is most popular 10+increment.

// [TimeControl "900+5"] 23666
// [TimeControl "900+10"] 23962

those are 15+5, 15+10, also relatively popular

// [TimeControl "900+15"] 113176
// [TimeControl "1200+10"] 5950

20+10 and all classical is not as popular compared to rapid, but,

20+10 is relatively popular compared to 15+15
similar ratio of popularity between 10+5 and 10+0 ..

@IsaVulpes
10+5 would fit the best if u dont wanna make any changes to other time controls.
making the 15+15 tc longer would work too, but changing/removing a time control which was there for at least over 3 years is always gonna be problematic.
ive never played an OTB game so i cant relate to the 15+10 rapid tc in OTB.

@hash11011 good numbers. Shows that no increment time controls are most popular. Also, shows 10 5 is already quite popular despite not being a standard button.

Note that count of players/games will always suck for longer TCs, because you just naturally can't play as many games as Bullet.

As I wrote here www.reddit.com/r/chess/comments/btfypp/most_popular_time_control_on_lichess_is_10_rapid/eoxod6t/
In response to this picture i.redd.it/jzrsb816pn031.png ,
If every 10+0 game were to just take 5 minutes total (instead of the 20 minutes max), then out of 100 games, Rapid would be played for "55 minutes total"; while the 25% Bullet just add up to 50 minutes, even if we assume that every game 1+0 game takes exactly 2 minutes (unlikely).
So while nominally Bullet (& Blitz) are far more "popular" than Rapid, in actuality there is way more Rapid played "per minute" than faster timecontrols.

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I dont think changing 15+15 to 20+10 is going to harm anyone, especially since it's the Classical Shield timecontrol already (so rather: It would help people to actually get practice in that timecontrol in outside of the Shield Arenas) @vio7
In fact, I would propose changing that independently from the current suggestion; ie just change 15+15 to 20+10, regardless of whether a new Rapid TC gets added or not. Better to have some consistency here, and as outlined above, the extra 5s increment barely ever matter for anyone anyhow.

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"it will be easier for people to switch from 10+0 to something like 10+2 or 10+5 if all they want is to avoid time scrambles"
@hash11011 agreed, but the question is whether this is "all they want".

For Blitz this works nicely, because we have a massive count of 4 different TCs, so it's 3+0 if you want fast Blitz, 3+2 for fast without timescramble, 5+0 for slow, 5+3 for slow without timescramble; with everyone getting to pick whichever they like the most.
For Rapid, with just two (currently 1, but let's pretend another does get added), it's 10+0 if you want fast Rapid, our increment TC would cover "without timescramble", and then the question is whether it should be a fast or slow time overall - I opted for something middling (15+10 too slow, 10+5 too fast) in interest of both fitting the spread, and gaining approval of the largest count of players (15+5 would be "nice" to all of 15+5/15+10/10+10 players; while also quite playable for ppl that just want some increment; 10+5 is "too fast" for everyone that currently plays 15+5/15+10)

--- Some "Data":
Fastest to Slowest Blitz (if we imagine we only had 2 Blitz TCs) is +133% / +167% (or just +67%, if we don't count 5+3 as a "real" TC, and look at 5+0 instead)

Comparing "Fastest to slowest Rapid" (if we imagine we get a 2nd one added to the 10+0(600) we already got) would be:
10+5: 800 (move 40) / 900 (move 60); +33% / +50%
10+10: 1000 (move 40) / 1200 (move 60) +67% / +100%
15+5: 1100 (move 40) / 1200 (move 60) +83% / +100%

The latter two would both be much closer to fitting that spectrum (and I'm against 10+10 for a bunch of reasons outlined above).

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The symmetry argument isn't actually a bad one, (although "Bullet with increment" is 2+1, not 1+1), but it's also important to look at how much the timecontrol changes with increment:
3+0: 180; 3+2: 260 (move 40) / 300 (move 60); +44% / +67%
5+0: 300; 5+3: 420 (move 40) / 480 (move 60); +40% / +60%

10+0: 600; 10+5: 800 (move 40) / 900 (move 60); +33% / +50%
That doesn't *really* fit, with actual 'parity' being 10+6 or 10+7.. but meh, it's close enough, I suppose?
Actually better than expected.

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All that being said (and actually surprised that 10+5 vs 10+0 is reasonably close-ish to 3+2 vs 3+0; naturally +5 is a nicer number than +6/+7, so some disparity is fine), I'm also happy with 10+5.
I would much rather have 15+5, so I could actually think a bit, but I really just want Increment at all (and pls no 5+5, that's .. eurgh) :F

Thanks for starting this conversation, Isa. I really like the idea of converting the 15+15 "quick pairing" button to 20+10, especially considering that it better coincides with the classical arena tournament. And I also like the idea of changing the rapid "quick pairing" button to either 15+5 or 10+5. Don't really have preference between the two, but having a rapid button with an increment is better than not having a rapid button with an increment.

@jsettle1 Don't know if you misunderstood or just worded it wrong, but I *don't* want to change the Quick Pairing button for Rapid -
10+0 will stay untouched; I want 15+5 (or 10+5, w/e) *on top*,
with room for it either made by removing 5+3 (least popular TC, and 4 Blitz TCs is a bit much), or the "Custom" button (which is pretty pointless, as "Create Game" is right next to it, and does the exact same thing)

@IsaVulpes Yes, I misunderstood. Personally, I don't care that much for 10+0, but I understand that it is popular and should be unchanged. And I agree that 4 Blitz TCs is overkill-- surely a 15+5 or 10+5 button would be a better use of space.

I too would like to see a Rapid TC with at least a 5 second increment. A regular Rapid tournament with increment would be nice too.

Man, I'm looking forward to 10+5 (or 10 + whatever truly).

Now if you want to play a longer game with increment you've got two choices:
5+3 - lasts about 13 minutes
or
15+15 - last about 40 minutes
Nothing between

So I have to choose 5+3, altough this is just to short for me. 40 minutes is just to long and I hate playing without increment with longer time controls - you work hard to get winning position but in the end is all about flahging anyway :(