Talk:Würschmidt diesis spiral progression

What is this

This page is linked from 31edo main article. It's unclear what the point of this is to me. Is a sprial progression a generic thing and the given progression is an example of it? Or is this exact progression called the spiral progression? I feel like it's not high enough importance to be linked from the 31edo page.

– Sintel🎏 (talk) 16:36, 30 May 2025 (UTC)

I think that spiral progression is a generic thing and this page lists a specific type of it. Other examples of spiral progressions show up in, for instance, 159edo using 5\159 as the interval in question. Suffice to say that spiral progressions are a specific type of progression that enables you to modulate downwards or upwards by an interval that's approximately equal to one third of a ~16/15 interval, and 31edo just so happens to provide a decent example of it. Does this make sense? Regardless, this is a musical composition technique, so I would think it relevant. --Aura (talk) 04:40, 31 May 2025 (UTC)

After doing a little math to check myself, it seems I stand corrected. It now seems that spiral progressions only exist where the ~128/125 is tempered to one third of ~16/15 by means of the the comma 393216/390625 being tempered out. Sorry for my erroneous assumptions! --Aura (talk) 05:16, 31 May 2025 (UTC)