Talk:Würschmidt diesis spiral progression: Difference between revisions
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m Aura moved page Talk:Wurschmidt diesis spiral progression to Talk:Würschmidt diesis spiral progression: Forgot the initial umlaut on the u with the first move |
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– [[User:Sintel|Sintel🎏]] ([[User_talk:Sintel|talk]]) 16:36, 30 May 2025 (UTC) | – [[User:Sintel|Sintel🎏]] ([[User_talk: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 | : 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. --[[User:Aura|Aura]] ([[User talk: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! --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:16, 31 May 2025 (UTC) | |||
::: Just double checked my math again, and this type of spiral progression also works in 34edo, which also tempers out the wurschmidt comma. I'm starting to wonder if there are other types of spiral progression, however, seeing as it does in fact seem that spiral progressions in general are connected to ~16/15 being divided by three. Regardless, this page should probably be renamed "Wurschmidt spiral progression" because this type of spiral progression is one of the defining progressions of wurschmidt temperament. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 05:41, 31 May 2025 (UTC) | |||