Talk:7-29-comma
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.) 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.
- 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. 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). CompactStar (talk) 01:14, 18 August 2026 (UTC)