# Distance between dates - in Balinese!

• BurtZ
BurtZ
Homework Statement
In the Balinese calendar, to specify a day, it is sufficient to specify the position of the day in just the five, six, and seven day weeks. Thus, we specify a day by the notation (a_5,b_6,c_7) where a is a number from one to five, b is a number from one to six, and c is a number from one to seven. Find the minimum number of days between the day (2_5,3_6,5_7) and (5_5,2_6,4_7)
Relevant Equations
none, I think
I'm not sure how to solve this. I think that we can count - to get from 2_5 to 5_5 is 3_5 days. And to get from 3_6 to 2_6 is 5_6 days. From 5_7 to 4_7 is 6_7 days. But, how do I put this together to find the minimum number of days? Is it the lowest common multiple of 3,5, and 6? (Which is 30)?

Gold Member
What are five- , six-, seven- day weeks?

Delta2
BurtZ
What are five- , six-, seven- day weeks?
Part of the Balinese system

Staff Emeritus
What are five- , six-, seven- day weeks?
Part of the Balinese system

You're not going to make this easy, are you?

BurtZ
You're not going to make this easy, are you?
I'm sorry! I would I just don't know how to do it...

Homework Helper
Gold Member
Do you have a web link that explains how the balinese calendar system works? I can speak for my self but i don't understand it. Ok we need 3 digits (1-5,1-6,1-7) to identify a day of the year but i don't understand why is that. Gregorian Calendar uses 4 digits (2 for the day and 2 for the month) but we all understand how it works because it is the system used world wide.
Maybe it will be helpful for us to understand if you explain how for example the day 11/01 or 11 January (in our calendar) converts to the Balinese Calendar.

WWGD
Staff Emeritus
I think I (finally) understand what is meant. But I think the OP should be the one to do the explaining. Partly it's to help him learn how to answer ask (oops) a good question, and partly I suspect that if he does he will know how to proceed.

If he needs another hint, if today is (5,4,5) what day is tomorrow? Ans: (1,5,6). So what's the difference between (1,5,6) and (5,4,5)?

Last edited:
BurtZ
I think I (finally) understand what is meant. But I think the OP should be the one to do the explaining. Partly it's to help him learn how to answer a good question, and partly I suspect that if he does he will know how to proceed.

If he needs another hint, if today is (5,4,5) what day is tomorrow? Ans: (1,5,6). So what's the difference between (1,5,6) and (5,4,5)?
Thanks. I appreciate that feed back, and you are right. I did not get how the system works, but your extra hint helped me out.

Mentor
There are calendar converters example:
https://www.fourmilab.ch/documents/calendar/

google "calendar converter" and you will find a treasure trove of converters.

We cannot answer effectively questions for every calendar you care to work with.

Staff Emeritus
Gold Member
I think the point is if you had 5-day weeks, then each day is numbered 1 through 5. I could tell you it's day 2, but that leaves a lot of days available still in the year.

If it was 6-day weeks, I could tell you it's day 6 of the week, and that leaves a lot of days in the year.

But if it's both day 2 of the 5-day week, and day 6 of the totally independently tracked 6-day week, the number of days in the year that match both of those is smaller. If you also specify what day in the 7-day week it is, then there are even fewer.

BurtZ
Staff Emeritus