Yourmusic Productions (talk | contribs)
 
(9 intermediate revisions by 4 users not shown)
Line 16: Line 16:
:: 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! ==
== Harmonize categories of interval pages ==


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)
Hi Yourmusic Productions, we are interested in your opinion about [[Xenharmonic Wiki:Things to do #Categories of interval pages|Categories of interval pages]], thanks in advance for taking the time. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 21:21, 8 November 2020 (UTC)


: It's fixed meanwhile ([[557122275/556583994]] → [[557122275/556583944]]). --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 14:06, 25 September 2020 (UTC)
== Ups and downs notation tables on the EDO pages ==


:: Ah, wonderful! Thanks for the help, Xenwolf! --[[User:CritDeathX|CritDeathX]] ([[User talk:CritDeathX|talk]]) 14:13, 25 September 2020 (UTC)
Hi Yourmusic Productions, we seem to have dueling edits. I'm the inventor of ups and downs and I created most of the ups and downs columns in the intervals pages. We seem to have a difference of opinion about the importance of minimizing the number of ups and downs needed. In 41-edo, one could notate 13\41 (~5/4) as either vM3 or d4. The latter minimizes that number, but IMO is inferior. I'd rather see C vE G than C Fb G. I'd rather call the chord a downmajor chord than a sus-flat4 chord. Likewise for 22-edo's very similar-sounding 5/4, C vE G not C D# G, and C downmajor not C sus-sharp2. This is an important advantage of ups and downs: you never have to spell an interval in the 300-400¢ range as a 2nd or 4th. And in general the notes column needn't zigzag madly back and forth among the 7 letters, but can for the most part march steadily C D E F G A B C.


Yeah, looks like I slipped a digit when typing. Thanks for the fix. --[[User:Yourmusic_Productions]] 16:33, 25 September 2020 (UTC)
There is of course the atonal approach where there is no key, there are no clear chords, there's just various combinations of notes. In that case, chord spelling isn't so important. But even then, one wouldn't want to zigzag too much.


Perhaps there is a misconception about the notes column in the table, as opposed to the interval names columns, which I believe we agree about. The notes column is meant to show how the notes would be named in the key of D. Because the note names vary depending on the key, and 22-edo's vE would indeed be D#, if you're in the key of E. But it's too much to write out all the possible names for each note. So the note names should match the interval names. In 34-edo, 10\34 is a mid 3rd not a dim 4th, so in D, the note isn't Gb but ^^F. (BTW I chose the key of D because it's symmetrical, and therefore easier to proofread.)


::: 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)
Of course, we microtonalists often disagree, and you may prefer to see ups and downs used differently. But as the creator of the system, I feel I have the right to make the note columns as I see fit. So rather than editing what I've written, please consider other options. The first thing to try is discussing your opinions directly with me and see if one of us can change the other's mind. The discussion tab of the ups and downs page might be a good place for that. Another is to create your own xenwiki page about your preferred ups and downs style, and link to it from the ups and downs page. Or maybe add a paragraph to certain edo pages. The beauty of the xenwiki is that it allows room for each of us to advocate for different approaches.


::::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)
BTW, looking over the note columns, I see I haven't been totally consistent in choosing when to include enharmonic equivalents. I'll be updating those shortly.


::::: 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)
Anyway, looking forward to hearing from you! :) --[[User:TallKite|TallKite]] ([[User talk:TallKite|talk]]) 00:49, 16 December 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)


- 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)


:::: What about the Luster comma?  That seems like a good name... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 14:25, 25 September 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)


:::: On that note, one could potentially call this comma the "lustrisma"... --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 14:28, 25 September 2020 (UTC)
== Reduce comma tables on EDO pages ==


:::::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)
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)


:::::: Nice idea, looks like an alchemistic approach to tuning. --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 19:59, 25 September 2020 (UTC)
== More pages to give yourself credit for ==


::::::: Cool. I'll get right on that. --[[User:Yourmusic_Productions|Yourmusic Productions]] 20:05, 25 September 2020 (UTC)
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)