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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) |
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| == Commas, commas, commas! ==
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| 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)
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| : It's fixed meanwhile ([[557122275/556583994]] → [[557122275/556583944]]). --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 14:06, 25 September 2020 (UTC)
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| :: Ah, wonderful! Thanks for the help, Xenwolf! --[[User:CritDeathX|CritDeathX]] ([[User talk:CritDeathX|talk]]) 14:13, 25 September 2020 (UTC)
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| Yeah, looks like I slipped a digit when typing. Thanks for the fix. --[[User:Yourmusic_Productions]] 16:33, 25 September 2020 (UTC)
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| ::: 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)
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| ::::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)
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| ::::: 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)
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| ::::: 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)
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| :::: What about the Luster comma? That seems like a good name... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 14:25, 25 September 2020 (UTC)
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| :::: On that note, one could potentially call this comma the "lustrisma"... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 14:28, 25 September 2020 (UTC)
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| :::::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)
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| :::::: Nice idea, looks like an alchemistic approach to tuning. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 19:59, 25 September 2020 (UTC)
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| ::::::: Cool. I'll get right on that. --[[User:Yourmusic_Productions|Yourmusic Productions]] 20:05, 25 September 2020 (UTC)
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| For the record, <br> [https://en.xen.wiki/w/Special:Log?type=delete&user=&page=557122275%2F556583994&wpdate=&tagfilter=&subtype= I deleted the page with the wrong name] and <br> swapped redirection between [[557122275/556583944]] and [[Mercurial comma]]. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 13:44, 16 December 2020 (UTC)
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| == Harmonize categories of interval pages == | | == Harmonize categories of interval pages == |