Talk:7-29-comma: Difference between revisions

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== Jackpot temperament? ==

Why no jackpot temperament? Equal temperaments that are multiples of 7edo temper this out in their patent vals until 595edo (if I did my math right), which would make jackpot a 2.something.29 subgroup analog of whitewood in this range (that could be infill-extended to some more useful subgroups). (You probably want 2.something.29 to be 2.3.29 or 2.5.29, or 2.3.5.29 if you want to start it off rank-3; full 29-limit with nothing else tempered out would be rank-9.) [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 15:45, 29 May 2026 (UTC)

: > 2.something.29 subgroup

: That's the issue. In fact the comma is a 2.29-subgroup comma. There's no other primes involved. The corresponding minimal-prime-subgroup temp is 7et, and equal temps don't need names. The full-prime-limit temp is rank-9, as you noted, so that's also not notable.

: As a side note, 2187/2048 is the ''whitewood comma'' cuz whitewood ''is'' the full-prime-limit temp of the comma in the sense of being the first full-prime-limit temp that warrants a name.

: —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 17:33, 29 May 2026 (UTC)

: I coine the name Jackpot temperament for the 2.3.29 temperament of this comma and it was listed on [[7th-octave temperaments]], but at some point it was removed. Maybe the reason was something about ambiguity since the jackpot comma could be tempered out in many different subgroups, but then I think a much better solution for that would be renaming the comma rather than silently removing the temperament. [[User:CompactStar|CompactStar]] ([[User talk:CompactStar|talk]]) 01:13, 18 August 2026 (UTC)

: The name "jackpot" also specifically alludes to the 2.3.29 temperament having an EDO join of 7 & 77 (along with the temp being efficient). [[User:CompactStar|CompactStar]] ([[User talk:CompactStar|talk]]) 01:14, 18 August 2026 (UTC)

:: I restored it. Sorry for the inconvenience. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 03:11, 18 August 2026 (UTC)

:: Thanks, and I think this new name for the comma works [[User:CompactStar|CompactStar]] ([[User talk:CompactStar|talk]]) 07:09, 18 August 2026 (UTC)

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 == Jackpot temperament? ==
 Why no jackpot temperament?  Equal temperaments that are multiples of 7edo temper this out in their patent vals until 595edo (if I did my math right), which would make jackpot a 2.something.29 subgroup analog of whitewood in this range (that could be infill-extended to some more useful subgroups).  (You probably want 2.something.29 to be 2.3.29 or 2.5.29, or 2.3.5.29 if you want to start it off rank-3; full 29-limit with nothing else tempered out would be rank-9.)   [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 15:45, 29 May 2026 (UTC)
+: > 2.something.29 subgroup
+: That's the issue. In fact the comma is a 2.29-subgroup comma. There's no other primes involved. The corresponding minimal-prime-subgroup temp is 7et, and equal temps don't need names. The full-prime-limit temp is rank-9, as you noted, so that's also not notable.
+: As a side note, 2187/2048 is the ''whitewood comma'' cuz whitewood ''is'' the full-prime-limit temp of the comma in the sense of being the first full-prime-limit temp that warrants a name.
+: —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 17:33, 29 May 2026 (UTC)
+: I coine the name Jackpot temperament for the 2.3.29 temperament of this comma and it was listed on [[7th-octave temperaments]], but at some point it was removed. Maybe the reason was something about ambiguity since the jackpot comma could be tempered out in many different subgroups, but then I think a much better solution for that would be renaming the comma rather than silently removing the temperament. [[User:CompactStar|CompactStar]] ([[User talk:CompactStar|talk]]) 01:13, 18 August 2026 (UTC)
+: The name "jackpot" also specifically alludes to the 2.3.29 temperament having an EDO join of 7 & 77 (along with the temp being efficient). [[User:CompactStar|CompactStar]] ([[User talk:CompactStar|talk]]) 01:14, 18 August 2026 (UTC)
+:: I restored it. Sorry for the inconvenience. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 03:11, 18 August 2026 (UTC)
+:: Thanks, and I think this new name for the comma works [[User:CompactStar|CompactStar]] ([[User talk:CompactStar|talk]]) 07:09, 18 August 2026 (UTC)