<pre>Akiva Miller wrote: <br><The Beur Halacha is saying that Plag is <br>not 1 1/4 hours before shkia, but that it is 1 1/4 hours before <br>tzeis. That, on its own, is not problematic. But then he calculates <br>those 1 1/4 hours as 75 fixed clock minutes, or perhaps 1 1/4
<br>twelfths of the time from sunrise to sunset, instead of the <br>calculation which I would have expected, namely 1 1/4 twelfths of the <br>The Beur Halacha is saying that Plag is <br>not 1 1/4 hours before shkia, but that it is 1 1/4 hours before
<br>tzeis. That, on its own, is not problematic. But then he calculates <br>those 1 1/4 hours as 75 fixed clock minutes, or perhaps 1 1/4 <br>twelfths of the time from sunrise to sunset, instead of the <br>calculation which I would have expected, namely 1 1/4 twelfths of the
<br><time from alos to tzeis.time from alos to tzeis.</pre><br>The point you made is one R' Willig's proofs that according to R' Tam a mil is 22.5 minutes and that you calculate the times from alos until tzeis.
<br><br>If you use those numbers plag actually works out to be 1/6 of a mil before shkia as follows:<br><br>alos - 4:30 (4 mil of 22.5 minutes before sunrise)<br>sunrise - 6:00<br>plag - 5:56:15 (see calculation below)<br>
sunset- 6:00<br>tzeis - 7:30 (4 mil of 22.5 minutes before sunrise)<br><br>from 4:30 - 7:30 is 15 hours, if you divide that by 12 (to get shaos zemaniyos) each shaah zemanis is 75 minutes (1.25 hours). Counting back to plag hamincha from tzeis (which is 7:30) you get
1.25 shaos zemaniyos = 93.75 minutes, meaning that plag hamincha is 5:56:15, 3.75 minutes before shkia. 22.5 divided by 6 = 3.75 and therefore plag hamincha is 1/6 of a mil before shkia as the rishonim said.<br>