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Talk:Relative errors of small EDOs

Revision as of 19:07, 15 May 2020 by Xenwolf (talk | contribs) (→permille vs. percent: new section)

(WIP) Relative Errors of Small Edos

I did a change to the upper table to right-align the numbers, I hope that's okay. Here some (hopefully helpful) suggestions:

  • leave out the repetitive /1 in the headings
  • leave out the column for prime 2
  • switch from permille with one decimal place to the more common percent with two decimal places

Best regards --Xenwolf (talk) 07:26, 14 May 2020 (UTC)

> right-align
Thx. No idea how you did it.
> leave out the repetitive /1 in the headings
> leave out the column for prime 2
Although this article is about edos, the method is valid for all rank-1 temperaments. For non-octave temperaments, the errors of, for example, 3/1 and 3/2 are different. Maybe I'll do ed3, ed5, etc. in the future. That's the reason why the /1 and prime 2 are there.
> percent
I'll do the switch after I fill it all up to see if it looks better. FloraC (talk) 15:15, 14 May 2020 (UTC)
Maybe I can help you with this, I'm a professional programmer who can automate this with Perl or Python. I'd also hand you the script for further adaption then ... Please tell me if this sounds right to you. --Xenwolf (talk) 18:49, 14 May 2020 (UTC)
Nice.
I don't suppose your script generates those values (cuz I did so in C), just doing with the table, right? FloraC (talk) 02:52, 15 May 2020 (UTC)
Such a script would also generate the values. --Xenwolf (talk) 05:50, 15 May 2020 (UTC)
Let's do it then. FloraC (talk) 12:04, 15 May 2020 (UTC)

permille vs. percent

Comparison of permille and percent formatting below. I restricted the table to only a few columns and rows

Edo Relative Errors (in ‰)
3/1 5/1 7/1 11/1 13/1
9 264.7 -102.6 266.2 134.9 304.0
10 -150.4 219.3 73.5 -405.7 4.4
11 434.6 -458.8 -119.1 53.7 -295.2
12 19.6 -136.9 -311.7 -486.8 405.3
13 -395.5 185.1 495.6 -27.4 105.7
14 189.5 -493.0 303.0 432.0 -193.8
Edo Relative Errors (in %)
3/1 5/1 7/1 11/1 13/1
9 -26.47 10.26 -26.62 -13.49 -30.40
10 15.04 -21.93 -7.35 40.57 -0.44
11 -43.46 45.88 11.91 -5.37 29.52
12 -1.96 13.69 31.17 48.68 -40.53
13 39.55 -18.51 -49.56 2.74 -10.57
14 -18.95 49.30 -30.30 -43.20 19.38

To me the percent values look more familiar and the grouping is better (at maximum pairs of numbers) --Xenwolf (talk) 19:07, 15 May 2020 (UTC)

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