User talk:Xenwolf: Difference between revisions

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Never mind about the name for the temperaments now... I think we've settled on the name "Quartismic" for the temperament name. However, now I'm curious... I know that 159edo is the first EDO divisible by 53 to temper out the "Quartisma", however, I also see that 24edo tempers out this interval as well... So that leaves me with questions as to which EDOs temper out the "Quartisma" and which ones don't... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 00:50, 7 September 2020 (UTC)

Since you're tempering out a comma in a rank-4 JI subgroup (2.3.7.11), you'll have to find 3 ~~different~~ (non-contorted) edos (not necessarily using their patent vals) that temper out the comma. None of the other relatively simple edos I can think of (17edo, 26edo, 34edo) do it, though. [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 03:00, 7 September 2020 (UTC)

Since you're tempering out a comma in a rank-4 JI subgroup (2.3.7.11), you'll have to find 3 linearly independent (non-contorted) edos (not necessarily using their patent vals) that temper out the comma. None of the other relatively simple edos I can think of (17edo, 26edo, 34edo) do it, though. [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 03:00, 7 September 2020 (UTC)

Apparently 46edo does! So the edos that are quartismic are all edos of the form 24A + 46B + 159C, where A, B, C are integers. [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 03:04, 7 September 2020 (UTC)

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 Never mind about the name for the temperaments now... I think we've settled on the name "Quartismic" for the temperament name.  However, now I'm curious...  I know that 159edo is the first EDO divisible by 53 to temper out the "Quartisma", however, I also see that 24edo tempers out this interval as well... So that leaves me with questions as to which EDOs temper out the "Quartisma" and which ones don't... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 00:50, 7 September 2020 (UTC)
-Since you're tempering out a comma in a rank-4 JI subgroup (2.3.7.11), you'll have to find 3 different (non-contorted) edos (not necessarily using their patent vals) that temper out the comma. None of the other relatively simple edos I can think of (17edo, 26edo, 34edo) do it, though. [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 03:00, 7 September 2020 (UTC)
+Since you're tempering out a comma in a rank-4 JI subgroup (2.3.7.11), you'll have to find 3 linearly independent (non-contorted) edos (not necessarily using their patent vals) that temper out the comma. None of the other relatively simple edos I can think of (17edo, 26edo, 34edo) do it, though. [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 03:00, 7 September 2020 (UTC)
+Apparently 46edo does! So the edos that are quartismic are all edos of the form 24A + 46B + 159C, where A, B, C are integers. [[User:IlL|IlL]] ([[User talk:IlL|talk]]) 03:04, 7 September 2020 (UTC)