Talk:7/4

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7/4 in 94edo

I don't know if you know this, Xenwolf, but 94edo is pretty good for 7/4 as well. --Aura (talk) 18:28, 25 October 2020 (UTC)

Yeah, 76\94 ( == 38\47, 9702.213 cents), is only 1.39 cents above 7/4. In 47edo it's within the relative tolerance limit (7%), in 94edo it's not. It's definitely not a bad approximation (only off by 10.9% of a 1\94). At first, I hand-calculated this table. Now I have a little python program (which is unfortunately incorruptible!) that has 2 parameters: the interval itself and the threshold of error magnitude (both, rel and abs). The upper EDO bound is currently fixed to 200, but could be a parameter, the separation of the rel and abs thresholds would possible as well. I know this is not really an answer to your non-question, but maybe helps to better understand why 94edo is not in the list: this decision has nothing to do with musical critera but only with with he difficulty to formalize harmonic quality (or my lack of imagination). --Xenwolf (talk) 20:40, 25 October 2020 (UTC)