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:: Please remember to change the internal link syntax, the [https://en.xen.wiki/w/Special:WhatLinksHere/Tuning_various_edos_by_ear WhatLinksHere] function automatically finds links using the internal syntax (double square brackets), but not the external syntax (single square brackets). --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 09:27, 22 July 2020 (UTC)
:: Please remember to change the internal link syntax, the [https://en.xen.wiki/w/Special:WhatLinksHere/Tuning_various_edos_by_ear WhatLinksHere] function automatically finds links using the internal syntax (double square brackets), but not the external syntax (single square brackets). --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 09:27, 22 July 2020 (UTC)
== Commas, commas, commas! ==
Hi there, Yourmusic! I saw that you had made a page for the comma 557122275/556583994, which is pretty neat! My only problem is that this seems to not be in the 19-limit; although 557122275 has 19^5 within it, the prime factorization for 556583994 is 2 × 3^3 × 1373 × 7507. If this was just a simple calculation problem, then I guess you should fix it up quick! --[[User:CritDeathX|CritDeathX]] ([[User talk:CritDeathX|talk]]) 13:44, 25 September 2020 (UTC)
: It's fixed meanwhile ([[557122275/556583994]] → [[557122275/556583944]]). --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 14:06, 25 September 2020 (UTC)
:: Ah, wonderful! Thanks for the help, Xenwolf! --[[User:CritDeathX|CritDeathX]] ([[User talk:CritDeathX|talk]]) 14:13, 25 September 2020 (UTC)
Yeah, looks like I slipped a digit when typing. Thanks for the fix. --[[User:Yourmusic_Productions]] 16:33, 25 September 2020 (UTC)
::: You are welcome. 🙂 But how to name it? (could there be other relevant pairs of ratios approximating the golden ratio - including corresponding commas)? --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 14:15, 25 September 2020 (UTC)
::::The not particularly accurate [[12edo]] equivalent one that uses the closest pure ratios to the semitone & tone would be ([[9/8]]^5 x [[18/17]]^2)/2=4782969/4734976, which is 17.4591 cents Or [-14 14 0 0 0 -2⟩ The [[19edo]] one would use [[14/13]] and [[29/26]] and come out flat but by a smaller amount, etc. Anyone who wants to crunch the math of all these up is welcome.  --[[User:Yourmusic_Productions]] 17:25, 25 September 2020 (UTC)
::::: Okay, how are y'all figuring this out?  I'm asking because I'm wondering what it would be for 159edo... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 17:47, 25 September 2020 (UTC)
::::: Nevermind, It seems you can only do this for EDOs in the Golden Meantone series... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 18:00, 25 September 2020 (UTC)
:::: What about the Luster comma?  That seems like a good name... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 14:25, 25 September 2020 (UTC)
:::: On that note, one could potentially call this comma the "lustrisma"... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 14:28, 25 September 2020 (UTC)
:::::How about a periodic table joke - as its very close to golden meantone, only sharpening the octave slightly to make the individual intervals purer, call this combination of pure 19/17's and 15/14's mercury meantone, and the comma by which the scale exceeds the octave the mercurial comma. That has a certain elegance to it, and just as importantly, isn't already taken.  --[[User:Yourmusic_Productions]] 19:43, 25 September 2020 (UTC)
:::::: Nice idea, looks like an alchemistic approach to tuning. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 19:59, 25 September 2020 (UTC)
::::::: Cool. I'll get right on that. --[[User:Yourmusic_Productions|Yourmusic Productions]] 20:05, 25 September 2020 (UTC)


== Harmonize categories of interval pages ==
== Harmonize categories of interval pages ==
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Anyway, looking forward to hearing from you! :) --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 00:49, 16 December 2020 (UTC)
Anyway, looking forward to hearing from you! :) --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 00:49, 16 December 2020 (UTC)
- Yeah, it seems that this is particularly a problem with superpythagorean systems, where if you follow the math strictly, it frequently looks like you're going the wrong way on staff notation. Guitar tab is so much less of a headache in that respect. Regarding ups and downs in general, I do think it might be helpful to distinguish between movements in systems where every interval is reachable by chains of 5ths, so you could just use sharps and flats if you want, and the ups & downs just give you different ways to notate the same interval, and edos that are contorted in the 3-limit, so a different type of notation becomes essential to move between chains. --[[User:Yourmusic Productions|Yourmusic Productions]] ([[User talk:Yourmusic Productions|talk]]) 08:57, 16 December 2020 (UTC)
: Good points. Very true about C# being above Db in those edos. About distinguishing between contorted vs. non-contorted use: in practice, any score that uses ups and downs must define them at the top of the page, e.g. "^1 = 1\15" or "^1 = 1\15 = 80¢" for 15-edo. That sort of clues you in to that. One could also write something more explicit there, e.g. "fifth = 9\15 = 720¢" or even "fifth = 3\5 = 720¢". --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 22:56, 16 December 2020 (UTC)
== Reduce comma tables on EDO pages ==
Please have a look at [[Xenharmonic Wiki: Things to do #Comma tables in EDO_pages]]. Thanks --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 09:09, 11 January 2021 (UTC)
== More pages to give yourself credit for ==
Should give yourself credit for the various Lumatone mapping pages you created.  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 20:30, 1 January 2025 (UTC)
== Thanks for the temperament tip for 20edo, but . . . . ==
. . . Probably best to put such things on a user's Talk page instead of inserting them into the actual pages.  (I had to go to work, so I didn't have time to try to look up the right temperament, so I had to leave it with a placeholder.  Anyway, no harm done, but keep it in mind for the future.  [[User:Lucius Chiaraviglio|Lucius Chiaraviglio]] ([[User talk:Lucius Chiaraviglio|talk]]) 05:38, 12 August 2025 (UTC)