Xenharmonic Wiki talk:Things to do: Difference between revisions
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Note: A partial reason I chose "Metafamilies" to correspond to 3 commas (and thus "Metafamily temperaments" to 4) is to suggest focusing on tempering at least 3 or 4 commas in high rank situations so that we don't just get a whole bunch of 1 or 2 comma temperaments which are comparatively uninteresting and of which, at that scale, there will inevitably be (perhaps far too) many. This also has the neat property of meaning that Metafamily temperaments in the 19-prime-limit are "cubic" in analogy to how rank 3 temperaments are "planar", ad that Metafamily temperaments in the 17-prime-limit are "planar temperaments". Plus I like the fact that "Metafamily temperaments" are either equated or closely connected to Superfamilies and/or Ultrafamilies depending on how high of a rank your IUS is, further justifying the aesthetic choice of "meta" (at least IMO).<br/> | Note: A partial reason I chose "Metafamilies" to correspond to 3 commas (and thus "Metafamily temperaments" to 4) is to suggest focusing on tempering at least 3 or 4 commas in high rank situations so that we don't just get a whole bunch of 1 or 2 comma temperaments which are comparatively uninteresting and of which, at that scale, there will inevitably be (perhaps far too) many. This also has the neat property of meaning that Metafamily temperaments in the 19-prime-limit are "cubic" in analogy to how rank 3 temperaments are "planar", ad that Metafamily temperaments in the 17-prime-limit are "planar temperaments". Plus I like the fact that "Metafamily temperaments" are either equated or closely connected to Superfamilies and/or Ultrafamilies depending on how high of a rank your IUS is, further justifying the aesthetic choice of "meta" (at least IMO).<br/> | ||
'''[ End of suggestion/reply by''' [[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 23:06, 15 January 2021 (UTC)'''. ]'''<br/><br/> | '''[ End of suggestion/reply by''' [[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 23:06, 15 January 2021 (UTC)'''. ]'''<br/><br/> | ||
: Allow me to open a giant can of worms. :) I feel pretty strongly that a rank-2 "family" should only apply to strong extensions (meaning the pergen doesn't change), and weak extensions should not be part of a family. For example, tempering out both 81/80 and 243/242 from 2.3.5.11 gives you a temperament that I wouldn't call a member of the meantone family, because it has a fundamentally different structure. In pergen terms, it's (P8, P5/2) not (P8, P5). I would call this temperament a member of the Neutral/Lulu family instead. In other words, 243/242 is the comma that identifies/defines the family, not 81/80, even though the latter is 5-limit and the former is 11-limit. This suits my personal preference not to elevate prime 5 too much above primes 7, 11, etc. Now this is *not* how family has been used in the past, and much of the xenwiki is based on including weak extensions, and having the comma with the lowest prime limit be the one to identify the family. So maybe this is a futile request. But think about it -- you usually can't translate a piece in Neutral to Meantone. Half the notes simply aren't there. Thoughts? | |||
: BTW Godtone, linear/planar temperament means a rank-2/rank-3 temperament with a period of an octave, as opposed to some fraction of an octave. Did you mean to make that distinction, or are you talking about all rank-2/rank-3 temperaments? | |||
: Other ideas: It seems counter-intuitive that the Semaphore/Zozo family is rank-3 and the Semaphore/Zozo clan is rank-2. I'd actually like to see "clan" repurposed to refer to collections of rank-3 temperaments, and "family" be only rank-2 temperaments. Temperaments above rank-3 just aren't used that much. There could be a third term for rank-4 and higher, perhaps "tribe"? --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 23:14, 24 January 2021 (UTC) | |||
== Comma tables in EDO pages == | == Comma tables in EDO pages == | ||