User talk:Xenwolf: Difference between revisions

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:: Okay, let me look at this comma some and see what I can find out. I already can tell that this comma is relevant considering that it involves the whole 11-limit. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:20, 23 December 2020 (UTC)

:: So, I just ran the numbers through Wolfram Alpha, and it seems that 6250/6237 is tempered out by both 53edo and 159edo despite their differing patent vals for both 7 and 11. It also seems that 6250/6237 is only slightly smaller than Mercator's comma at 3.60472 cents. It appears that when this comma is tempered out, [[160/77]]- which is the difference between [[5/2]] and [[77/64]]- is equated with a stack of four [[6/5]] minor thirds, and a stack of five [[5/4]] major thirds is equated with a stack consisting of an [[octave]] plus [[81/64]] plus [[77/64]]. Upon further calculations, it appears that 6250/6237 is also the difference between the [[keenanisma]] and the [[kleisma]], as well as the difference between the keenanisma and the undecimal hemifourths comma (160083/160000). --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 17:23, 23 December 2020 (UTC)

:: So, I just ran the numbers through Wolfram Alpha, and it seems that 6250/6237 is tempered out by both 53edo and 159edo despite their differing patent vals for both 7 and 11. It also seems that 6250/6237 is only slightly smaller than Mercator's comma at 3.60472 cents. It appears that when this comma is tempered out, [[160/77]]- which is the difference between [[5/2]] and [[77/64]]- is equated with a stack of four [[6/5]] minor thirds, and a stack of five [[5/4]] major thirds is equated with a stack consisting of an [[octave]] plus [[81/64]] plus [[77/64]]. Upon further calculations, it appears that 6250/6237 is also the difference between the [[keenanisma]] and the [[kleisma]], as well as the difference between the keenanisma and the undecimal hemifourths comma (160083/160000; needs a better name). --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 17:23, 23 December 2020 (UTC)

== Comma Tables on 53edo and 159edo pages ==

Hey, Xenwolf, I've been trying to go through the list of commas to find out which commas are tempered out by 53edo and 159edo, and I'm starting to think that a comma table would be useful for both pages. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:18, 23 December 2020 (UTC)

@@ Line 656: / Line 656: @@
 :: Okay, let me look at this comma some and see what I can find out.  I already can tell that this comma is relevant considering that it involves the whole 11-limit. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:20, 23 December 2020 (UTC)
-:: So, I just ran the numbers through Wolfram Alpha, and it seems that 6250/6237 is tempered out by both 53edo and 159edo despite their differing patent vals for both 7 and 11.  It also seems that 6250/6237 is only slightly smaller than Mercator's comma at 3.60472 cents.  It appears that when this comma is tempered out, [[160/77]]- which is the difference between [[5/2]] and [[77/64]]- is equated with a stack of four [[6/5]] minor thirds, and a stack of five [[5/4]] major thirds is equated with a stack consisting of an [[octave]] plus [[81/64]] plus [[77/64]].  Upon further calculations, it appears that 6250/6237 is also the difference between the [[keenanisma]] and the [[kleisma]], as well as the difference between the keenanisma and the undecimal hemifourths comma (160083/160000). --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 17:23, 23 December 2020 (UTC)
+:: So, I just ran the numbers through Wolfram Alpha, and it seems that 6250/6237 is tempered out by both 53edo and 159edo despite their differing patent vals for both 7 and 11.  It also seems that 6250/6237 is only slightly smaller than Mercator's comma at 3.60472 cents.  It appears that when this comma is tempered out, [[160/77]]- which is the difference between [[5/2]] and [[77/64]]- is equated with a stack of four [[6/5]] minor thirds, and a stack of five [[5/4]] major thirds is equated with a stack consisting of an [[octave]] plus [[81/64]] plus [[77/64]].  Upon further calculations, it appears that 6250/6237 is also the difference between the [[keenanisma]] and the [[kleisma]], as well as the difference between the keenanisma and the undecimal hemifourths comma (160083/160000; needs a better name). --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 17:23, 23 December 2020 (UTC)
 == Comma Tables on 53edo and 159edo pages ==
 Hey, Xenwolf, I've been trying to go through the list of commas to find out which commas are tempered out by 53edo and 159edo, and I'm starting to think that a comma table would be useful for both pages. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 16:18, 23 December 2020 (UTC)