Talk:Alphatricot family: Difference between revisions

Line 1:

== Other Alpha Tricot temperaments? ==

What should one call temperaments that divide 3/1 into 3, but have differently constituted generators from the temperaments in the [[Alphatricot family]]? And where should one put them?

Plausible other generators (from flat to sharp) include ~[[23/16]], ~[[36/25]], and ~[[13/9]].

Far-out other generators (from flat to sharp) include ~[[62/43]] and ~[[384/265]]. In particular, ~62/43 works without warts for the great majority of EDO values in the [[17L 2s]] tuning spectrum table, and the few exceptions are able to benefit (according to a consistency point of view0 from a 'k' wart that makes it work for them as well. And while both of these have high primes, they arguably have lower overall complexity than the ~[[59049/40960]] specified on the Alphatricot family page.

I've been working on building temperaments to support 17L 2s, currently in [[User:Lucius_Chiaraviglio/Musical_Mad_Science#Musical_Mad_Science_Musings_on_Diatonicized_Sixth-Tone_Sub-Chromaticism(?)|a section within the Musical Mad Science sub-page of my user page]], although I'll admit up front that this is just coming out of the initial exploration phase and currently quite badly written (and at some point in the not-too-distant future I'm going to want to archive that and make it into something more readable, possibly in its own sub-sub-page).

Added: [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:06, 29 April 2025 (UTC)

@@ Line 1: / Line 1: @@
+== Other Alpha Tricot temperaments? ==
+What should one call temperaments that divide 3/1 into 3, but have differently constituted generators from the temperaments in the [[Alphatricot family]]?  And where should one put them?
+Plausible other generators (from flat to sharp) include ~[[23/16]], ~[[36/25]], and ~[[13/9]].
+Far-out other generators (from flat to sharp) include ~[[62/43]] and ~[[384/265]].  In particular, ~62/43 works without warts for the great majority of EDO values in the [[17L&nbsp;2s]] tuning spectrum table, and the few exceptions are able to benefit (according to a consistency point of view0 from a 'k' wart that makes it work for them as well.  And while both of these have high primes, they arguably have lower overall complexity than the ~[[59049/40960]] specified on the Alphatricot family page.
+I've been working on building temperaments to support 17L&nbsp;2s, currently in [[User:Lucius_Chiaraviglio/Musical_Mad_Science#Musical_Mad_Science_Musings_on_Diatonicized_Sixth-Tone_Sub-Chromaticism(?)|a section within the Musical Mad Science sub-page of my user page]], although I'll admit up front that this is just coming out of the initial exploration phase and currently quite badly written (and at some point in the not-too-distant future I'm going to want to archive that and make it into something more readable, possibly in its own sub-sub-page).
+Added:  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 19:06, 29 April 2025 (UTC)