I really like this as an example of when an lower-keima is a good answer to the corner kakari on the left
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Furthermore I like to add to Harleqins explanations, that the marked stone (in the upper diagram) now feels low, doesnt he?
I think directly playing a high move feels much better, because you dont want to take low territory, you want to build something hugh with this wall.
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Here are some quick notes regarding the game and your comments:
Move 9 is also some kind of joseki. Black plays it if he doesnt like to possible white attachment at R17. Black takes much thirdline territory, but gives White much strength in return, this is completely fine.
I think the result of the lower right battle is a success for white.Therefore black shouldnt attach with move 27, but play the iron pillar (my style).
Move 40 looks kinda slow, Black still can do something, I think taking the corner at c17 feels more important now.
I would answer Black 43 with a one-space jump at k15. All in all Black 43 already doesnt feel good, there is no potential big territory in the center so black shouldnt play g13 to strengthen White and then jump in, but should jump in directly at k14 or maybe k15.
Sry for not creating some diagrams, I'm in hurry right now, maybe I'll add some later.