User talk:Aura: Difference between revisions

Line 423:

::::::::: For 17L 2s, had to go for a 2.3.5.23.53 meantone extension to get the soft half of the spectrum — the 13th harmonic mapping just wasn't stable enough. Now that I've got that done, I wonder if giving the very high harmonics another look might turn up something similar for 11L 2s? Bonus points if it works accurately enough to include an EDO as large as 159edo (for the 17L 2 meantone extension, 146edo was too big to fit without an accuracy-degrading 'c' wart as well as an 'i' wart). [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:13, 22 April 2025 (UTC)

::::::::: On second thought, what turned out to be necessary for (at least the soft half of) 17L 2s might not help for 11L 2s, because the former didn't have a stable generator fraction within range, whereas the latter does &mbdash; hence the same extraordinary measures might not do much for it. But it can't hurt to check. [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 11:28, 22 April 2025 (UTC)

:::::::::: Sorry about not responding for a while, I had stuff to do, but I was reading what you were saying, and I've been checking in on harmonies that you can get from instances of ~85/64 and ~128/85. It seems that in 159edo, starting on your ~17/16, you can build an approximation of a 1/1-25/22-128/85-320/187 suspension easily, and you can use this as an unexpected option for something resembling a Neapolitan chord. Not sure how this chord fits with 11L 2s however- it probably doesn't. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:24, 24 April 2025 (UTC)

@@ Line 423: / Line 423: @@
 ::::::::: For 17L&nbsp;2s, had to go for a 2.3.5.23.53 meantone extension to get the soft half of the spectrum &mdash; the 13th harmonic mapping just wasn't stable enough.  Now that I've got that done, I wonder if giving the very high harmonics another look might turn up something similar for 11L&nbsp;2s?  Bonus points if it works accurately enough to include an EDO as large as 159edo (for the 17L&nbsp;2 meantone extension, 146edo was too big to fit without an accuracy-degrading 'c' wart as well as an 'i' wart).  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 10:13, 22 April 2025 (UTC)
 ::::::::: On second thought, what turned out to be necessary for (at least the soft half of) 17L&nbsp;2s might not help for 11L&nbsp;2s, because the former didn't have a stable generator fraction within range, whereas the latter does &mbdash; hence the same extraordinary measures might not do much for it.  But it can't hurt to check.  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 11:28, 22 April 2025 (UTC)
+:::::::::: Sorry about not responding for a while, I had stuff to do, but I was reading what you were saying, and I've been checking in on harmonies that you can get from instances of ~85/64 and ~128/85.  It seems that in 159edo, starting on your ~17/16, you can build an approximation of a 1/1-25/22-128/85-320/187 suspension easily, and you can use this as an unexpected option for something resembling a Neapolitan chord.  Not sure how this chord fits with 11L 2s however- it probably doesn't. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:24, 24 April 2025 (UTC)