Calendar recurrent rule - Consecutive days: Every First and third Friday and Saturday

In Google Calendar, using rrule, I want to make recurrent events for two consecutive days:

Friday and Saturday
Twice a month with 2 weeks apart

What I would expect to match my requirement is any of the 2 options below:

Possible option	1st match	2nd match
1	fri 30 - sat 1	fri 14 - sat 15
2	fri 7 - sat 8	fri 21 - sat 22

The below config shows what I have tried and the screenshot shows the outcome which is certainly not what I want.

The tricky part I believe is when the two days belong to 2 different moths. Luckily I noticed this since it was the case this May.

Any idea how to solve this?

BEGIN:VCALENDAR
VERSION:2.0

BEGIN:VEVENT
RRULE:FREQ=MONTHLY;INTERVAL=1;BYDAY=FR;BYSETPOS=1
SUMMARY:EventDay1
DTSTART;VALUE=DATE:20210501
SEQUENCE:0
DESCRIPTION:EventDay1
END:VEVENT
BEGIN:VEVENT
RRULE:FREQ=MONTHLY;INTERVAL=1;BYDAY=FR;BYSETPOS=3
SUMMARY:EventDay1
DTSTART;VALUE=DATE:20210501
SEQUENCE:0
DESCRIPTION:EventDay1
END:VEVENT

BEGIN:VEVENT
RRULE:FREQ=MONTHLY;INTERVAL=1;BYDAY=SA;BYSETPOS=1
SUMMARY:EventDay2
DTSTART;VALUE=DATE:20210501
SEQUENCE:0
DESCRIPTION:EventDay2
END:VEVENT
BEGIN:VEVENT
RRULE:FREQ=MONTHLY;INTERVAL=1;BYDAY=SA;BYSETPOS=3
SUMMARY:EventDay2
DTSTART;VALUE=DATE:20210501
SEQUENCE:0
DESCRIPTION:EventDay2
END:VEVENT

END:VCALENDAR

Solution

You could use BYMONTHDAY instead of BYSETPOS to specify the first and third weeks of the month:

1st Friday: BYMONTHDAY=1,2,3,4,5,6,7
1st Saturday: BYMONTHDAY=2,3,4,5,6,7,8
3rd Friday: BYMONTHDAY=15,16,17,18,19,20,21
3rd Saturday: BYMONTHDAY=16,17,18,19,20,21,22

Arguably less elegant than BYSETPOS, but it solves the issue:

BEGIN:VCALENDAR
VERSION:2.0

BEGIN:VEVENT
RRULE:FREQ=MONTHLY;INTERVAL=1;BYDAY=FR;BYMONTHDAY=1,2,3,4,5,6,7
SUMMARY:EventDay1
DTSTART;VALUE=DATE:20210430
EXDATE;VALUE=DATE:20210430
SEQUENCE:0
DESCRIPTION:EventDay1
END:VEVENT
BEGIN:VEVENT
RRULE:FREQ=MONTHLY;INTERVAL=1;BYDAY=FR;BYMONTHDAY=15,16,17,18,19,20,21
SUMMARY:EventDay1
DTSTART;VALUE=DATE:20210430
EXDATE;VALUE=DATE:20210430
SEQUENCE:0
DESCRIPTION:EventDay1
END:VEVENT

BEGIN:VEVENT
RRULE:FREQ=MONTHLY;INTERVAL=1;BYDAY=SA;BYMONTHDAY=2,3,4,5,6,7,8
SUMMARY:EventDay2
DTSTART;VALUE=DATE:20210430
EXDATE;VALUE=DATE:20210430
SEQUENCE:0
DESCRIPTION:EventDay2
END:VEVENT
BEGIN:VEVENT
RRULE:FREQ=MONTHLY;INTERVAL=1;BYDAY=SA;BYMONTHDAY=16,17,18,19,20,21,22
SUMMARY:EventDay2
DTSTART;VALUE=DATE:20210430
EXDATE;VALUE=DATE:20210430
SEQUENCE:0
DESCRIPTION:EventDay2
END:VEVENT

END:VCALENDAR