Are there any recent Halachic sources that discuss whether or not the Yehi Ratzons following leining would be recited a fast day that falls out on S/T/W/F?

I realize that at Why are the Yehi Ratzon prayers connected to Tachanun? it is indicated that there is something special about Mondays and Thursdays, however a similar argument could be made for Fast Days, when we say Selichos, or we could just not Pasken like the view brought there.

  • Note that this is all a minhag, so 'halacha l'masaah' isn't really practical. As to what the minhag is - well, it's like the understanding.
    – user15253
    Dec 29 '17 at 10:56
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    I was really puzzled why this Q as closed in the 1st place. What I've commonly seen is that the Yehi Ratzon is specific to Monday / Thursday, unless Tachanun is omitted. Thus, when 10 Tevet occurs on Sunday, e.g., Yehi Ratzon is not said. BTW, the only time the Torah is read on weekdays other than Mon. / Thurs. AND Tachanun is said is a fast day. All other times, Tachanun is omitted.
    – DanF
    Dec 29 '17 at 14:53
  • Until this question is opened, refer to beureihatefila.com/files/2008-04-25Tefila_Newsletter.pdf. It seems only Siddur Rav Amram Gaon mentions saying this on Mon. / Thurs. Machzor Vitri has it for Shabbat mincha, and Avudraham has it for Shabbat Mevarchim Hachodesh. So, you can see that various minhagim developed.
    – DanF
    Dec 29 '17 at 15:00
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    FYI: IIRC In Breuers (The High School & Yeshiva) - circa 1987 - they would say the Yehi Ratzons every day at Mincha after Tachanun. Jan 21 '18 at 9:07
  • @DannySchoemann interesting. I wonder where that minhag comes from... Jan 21 '18 at 15:13

See page 2 of this beureihatefila.org article. It's the same one as in my answer in your linked question.

I did locate a source that posits that a fast day may be considered עת רצון, which would possibly support the idea of saying these yehi ratzon. However, I'm inferring that the main reason is attached to the maximum 3-day interval allowed for reading the Torah.

In particular, the Kolbo's explanation states that enemies are more likely to attack if one does not read the Torah within a maximum of 3 days. And, we do see that one of the Yehi Ratzon requests is to save us from our enemies.

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