Talk:25/16

Ptolemismic chord?

If 1-5/4-25/16 is a ptolemismic chord, then 99/64 would be considered a consonance. However, 25/16 has a lower odd limit than 99/64, and should therefore also be considered a consonance if 99/64 is considered one.--Overthink (talk) 03:21, 28 September 2025 (UTC)

For what it's worth, I legit think that both 99/64 and 25/16 are dissonances. Lower odd limit does not automatically translate to consonance in my ear to be honest. --Aura (talk) 03:37, 28 September 2025 (UTC)

I think Overthink's point is that you need to consider the odd limit because of the definition of essentially tempered chords, and you need to show that the temperament effectively lowers the chord's odd limit (by providing equivalences between intervals, which expands the consonance set). I agree that it doesn't make sense in this case, because 99/64 wasn't a target interval to start with, and it doesn't lower the odd limit either. Therefore, this doesn't seem to be an essentially tempered chord. --Fredg999 (talk) 05:07, 28 September 2025 (UTC)