Timing Window

DigitalCyber · Trick Member Joined: 22 Jul 2004

OK, I remember seeing something like this on here before, but I cant find it. It would be awesome if someone could give me the codes to make the SM timing window be identical (or very, very close) to the timing window in DR Extreme Arcade. If someone could walk me through the process and tell me where exactly I enter the code, it would be awesome

AFIpunk572 · Trick Member Joined: 26 Jan 2005

theres a thread all about this called " The stepmania timimng that windows configures" or sumthing like that. The timings are on the first page

PedanticOmbudsman · Posted: Mon Sep 05, 2005 1:58 pm Post subject:

This is the thread:

http://www.ddrfreak.com/phpBB2/viewtopic.php?t=95076

However, I don't think this information in the first post is entirely correct:

yagsimit69 · Trick Member Joined: 05 Jan 2004 Location: rochester

PedanticOmbudsman · Posted: Mon Sep 05, 2005 7:51 pm Post subject:

Incorrect. Actually, they're repeating decimals, meaning you'd have an infinite string of 6's, (1/60 = 0.01666666666..... continued forever) if you could actually represent them that way. But in reality, infinitely long numbers are often inconvenient to work with, and you have to round them off somewhere.

As you may remember from school, when you round a number at a particular decimal place, you have to look at the digit after the digit you want to be your final one. If the digit after the one you want to be the final one is 5 or above, you increment the final number by one. Otherwise you don't.

For example, if you needed to round the following numbers off to one decimal place:

0.12 would become 0.1 when rounded to one decimal place
0.15 would become 0.2 when rounded to one decimal place
0.19 would become 0.2 when rounded to one decimal place
0.43 would become 0.4 when rounded to one decimal place
0.47 would become 0.5 when rounded to one decimal place
0.33 would become 0.3 when rounded to one decimal place
0.66 would become 0.7 when rounded to one decimal place
0.99 would become 1.0 when rounded to one decimal place

You could tack on extra digits to these and none of them would change... 0.1000001, 0.133333, and 0.1399999999 would call become 0.1 if rounded to one decimal place, because they're all closer to 0.1 than to 0.2. 0.15000001, 0.159999999, and 0.193284793284 would all become 0.2 if rounded to one decimal place, because they're all closer to 0.2 than to 0.1.

Now let's look let at our repeating decimal from before:

0.016666666666.....

If you cut it at 3 decimal places, it'll become 0.017
If you cut it at 4 decimal places, it'll become 0.0167
If you cut it at 5 decimal places, it'll become 0.01667
If you cut it at 10 decimal places, it'll become 0.0166666667

No matter how far along you cut it, the final digit you include will always be rounded up to 7 because the digit you cut out after it will always have been a 6. In other words, it'll always be closer to 0.16...7 than to 0.16...6 when you cut it off.

Now let's consider the specific case of Stepmania. Let's assume that Stepmania's timing window can handle six decimal places. In order to decide how to round off a repeating decimal into six decimal places, we need to look at the 7th decimal place also:

0.0166666

Now, we could represent this in 6 decimal places in one of two ways: 0.016666 or 0.016667. It doesn't take a mathematic genius to tell you that 0.0166666 is closer to 0.016667 than it is to 0.016666. So the correct way to round our repeating decimal into six decimal places is 0.016667, not 0.016666.

But as you said it's not a big enough difference to actually make any difference at all... in fact, the difference would probably get rounded down to nothing somewhere else along the line. So the difference is purely academic. But I'm somewhat pedantic about these things.
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