User talk:TallKite

Infobox Interval

Hi Kite, great to see you in action :)
Just one thing that I found a little awkward: you moved the interval name from the textual into the info box in some cases. I think the synopsis should be kept "intact" so you can just read it out loud, IOW copying is better. Thanks for considering my thought.
--Xenwolf (talk) 07:00, 23 October 2018 (UTC)

I agree. Trying to fix it now. We seem to be bumping into each other. --TallKite

By the way, how do I get my comments here to have the date/time stamp on them?

toolbar in editing mode

It's called signature. You place --~~~~ behind your message.
It's also available in the toolbar in editing mode. The second control from the right places this magic sequence into the wiki text. If you preview the change, the replacement is shown, but it's not replaced in the source code until you save the page. There are other magic sequences ~~~~~ (renders as: 20:58, 23 October 2018 (UTC)) for timestamp only ~~~ (renders as: Xenwolf (talk)) for user name only. You see that the leading -- isn't "magic." ;-)
--Xenwolf (talk) 20:58, 23 October 2018 (UTC)

Thanks!--TallKite (talk) 21:30, 23 October 2018 (UTC)

Changes to Infobox Interval

Thank you for fixing the template. I think it's now better having the parameters in the same order as they (optionally) appear in the page. --Xenwolf (talk) 08:16, 23 October 2018 (UTC)

Delete a page

Members of the Organizer group can delete pages (you are a member). Concerning pages in the article namespace we have currently no convention on when/how to delete them. But there is no need for discussion in case of pages in your own user namespace. Left to the search box there is a [More] with Delete, Move, Protect (these are the function organizers see). BTW: it would be good to have a few words on your user page User:TallKite. Best regards --Xenwolf (talk) 15:41, 31 May 2020 (UTC)

Your user page

the personal wiki toolbox is your faithful companion

Hi TallKite,
This is a great. You know that someone's active in the wiki (as shown in article histories or recent changes) can be confusing to others and as to get into contact a bit of information about the editor helps a lot. Another maybe interesting point for having a users page is that you can collect your favorite links there. This eases the access to them a lot: the wiki web interface (every page, every time) contains a link to it in the upper-right corner (see screenshot: the name next to the user icon is a link).
Best regards --Xenwolf (talk) 10:01, 1 June 2020 (UTC)

Not following you. I created a users page with my real name and a link to my "People" page, which links to my various websites which have my phone # and e-mail. So I'm very easy to contact. And by favorite links, do you mean my contributions? --TallKite (talk) 05:41, 2 June 2020 (UTC)

The purpose of letting others know how to get in touch with you is perfectly served by the current content of your user page. 🙂 I just wanted to point out that this personal page 1) offers you maximum creative freedom and 2) stands out from most other pages because of its easy accessibility to you. For me personally, my user page is an invaluable resource for all the things I don't have in mind when editing the wiki (e.g. copy templates, todo lists, links). I have learned to appreciate it in the course of my work and that's why I wanted to introduce this possibility to you (so I don't want to push you into anything). --Xenwolf (talk) 06:23, 2 June 2020 (UTC)

Oh I see, you can use it like a personal notepad. --TallKite (talk) 22:18, 3 June 2020 (UTC)

Quartisma

Hello there! I see that you've noticed the work that Inthar, Flora and I have done in unearthing an obscure unnoticeable comma from the bowels of this wiki and studying it- specifically from the page on 3125edo- and I do appreciate how you've worked out the color notation for it! Thank you! Oh, and just for the record, I'm the one who dubbed this comma the "quartisma". --Aura (talk) 04:58, 8 September 2020 (UTC)

Glad to help! I hope you don't mind that I changed (33/32)^6 = 77/64 to (33/32)^5 = 7/6. Seemed simpler. --TallKite (talk) 00:31, 9 September 2020 (UTC)

I don't mind, seeing as both options are technically correct. --Aura (talk) 00:46, 9 September 2020 (UTC)

Kite, we have a problem. Ever since I found this site this site things have gotten very complicated very quickly. I find that we now need to go through and redefine terms according to more rigorous standards than we have been, and to that end I've had to even go so far as to delete data on the Quartismic temperaments page in order to make space for this to occur properly. I'm thinking that the data can be re-entered once we've gotten things straightened out. --Aura (talk) 03:18, 11 September 2020 (UTC)

Diatonic Scales

Hey there, Kite! I saw you just posted something on the diatonic scales for the Kite Guitar, so I'm wondering whether or not you've seen my own take on the diatonic scales. Have you? Truth be told I suspect you won't like it, as I prefer 27/16 to 5/3 among other things, but all the same, I can't help but wonder... --Aura (talk) 01:39, 10 September 2020 (UTC)

Haven't seen it until just now, thanks for sharing it with me. I like your "Ionic Dorian" naming system, very logical. Yeah, I prefer 5/3 to 27/16, and I don't like 40/27. My approach, like many others, is to use small pitch shifts to avoid such ratios. Thus certain notes are "fuzzy". This lets me get all 6 triads in tune. But even with fuzziness, I find the dorian and locrian scales to be hard to tune well. (As you can see from my Kite Guitar scales page.)

In your dorian scale, I would use 32/27 in place of 77/64. Smaller odd limit, much smaller prime limit too, and avoids a wolf 5th. In your locrian scale, I would use 7/5. Much more consonant than 64/45.

But hey, to each their own. Can't have microtonalists agreeing on too much! :)

--TallKite (talk) 22:20, 10 September 2020 (UTC)

I have to admit that I prefer my scales to be proper, and the options you propose for Dorian and Locrian don't sit well with me as a result. The 7/5 tritone in particular sounds more like a fourth to me than a fifth. Also, I don't like the idea of fuzzy intervals myself- which is why I decided to be brave and attempt to exploit the grave fifth. If you don't like what I'm doing now, then you really won't like what I have in store for the Neapolitan modes- that will be quite a doozy for me as is... As you said though, to each their own! --Aura (talk) 22:47, 10 September 2020 (UTC)

Did I mention that dissonance has a way of acting as a propulsive force in music? Just something I thought I'd bring up in case you ever find yourself in a position where you're forced to use some kind of grave fifth or other... --Aura (talk) 22:55, 10 September 2020 (UTC)

Help wanted

Hi TallKite,

I saw that you were asked here to help out, but as far as I know the wiki has no such function to notify a user via @username, but maybe I'm wrong about it ... --Xenwolf (talk) 06:46, 11 September 2020 (UTC)

[Technical update] I re-checked the wiki settings. There is really not such a feature available. Wikipedia has an option to get notified if someone links to your user page. --Xenwolf (talk) 06:52, 11 September 2020 (UTC)

Thanks for the notification, Xenwolf. I will try to answer their questions. --TallKite (talk) 05:04, 12 September 2020 (UTC)

Page Split and Reorganization

Hey Kite, so, Xenwolf and I have split the section of the "Quartismic Temperaments" page dealing directly with the quartisma itself into it's own page- Quartisma, while the "Quartismic Temperaments" page itself has been renamed to Quartismic family. In accordance with this, I've decided to add the rank-4 base Quartismic temperament to the page. Now I need help sorting things out and finding good names for the no-fives temperaments. Do you have time to spare for this? --Aura (talk) 21:29, 13 September 2020 (UTC)

Kite, I'm also looking for names for both quartismic temperaments that also temper out the escapade comma, and quartismic temperaments that also temper out the the diaschisma. Do you have any ideas? --Aura (talk) 03:42, 14 September 2020 (UTC)

The page reorganization looks good! I do have a system for naming all temperaments based on a prime subgroup. It's detailed at https://en.xen.wiki/w/Color_notation/Temperament_Names. It's quite complicated. Multi-comma temperaments are tricky, because there's an infinite number of commas tempered out. So identical temperaments arise from different commas, yet the temperament name must be unique.

I call the rank-4 2.3.5.7.11 temperament Saquinlu-azo plus Ya. Of course the difference between this and 11-limit JI is inaudible.

Escapade is Sasa-tritriyo, so that plus quartismic makes the Sasa-tritriyo & Saquinlu-azo temperament. Yes, that's a mouthful. That's what happens when the nomenclature is systematic and also has only a small number of terms. Basic information theory says that something has to give. Easy to learn and logical means complex things get long names. And this temperament is *extremely* complex. But this name at 11 syllables is still better than saying "4294967296/4271484375 and 117440512/117406179" out loud! And you can work backwards from the name and derive the prime subgroup, the rank, and the commas. No other name can do that.

Diaschisma is Sagugu, so that makes Sagugu & Saquinlu-azo. Nine syllables, a little better. :)

Not sure what no-fives temperaments you want to name. No-fives quartismic is simply Saquinlu-azo. If for example you also temper out 99/98, that's Loruru & Saquinlu-azo. But there's a rule that's needed to ensure the name is unique: the 1st comma must have only one prime > 3, and it must be the smallest such prime. So you have to eliminale lo/lu by adding 5 of the 1st comma to the 2nd one, to get Satritriru. The final name is Satritriru & Loruru. Notice that the quartisma is no longer part of the name. Often very complex commas tend to get replaced with simpler ones. This is as it should be, because one is far more likely to actually employ a Loruru pump than a Saquinlu-azo pump! And the name should reference the more commonly used commas. Perhaps the most important characteristics of a temperament are the prime subgroup and the pergen. This one's pergen is (P8, P4/9), so it divides the 4th into 9 parts. So you could name it "Zala ninth-fourth". Zala means the 2.3.7.11 prime subgroup. But there will always be other temperaments with the same subgroup and pergen.

Need help for another color name

Hello Kite. I wonder if you've read my post in the FB group. To summarize, I explored a new regular temperament. I've documented it here: Canou family. Could you help me figure out the color name and maybe catalog it in Tour of Regular Temperaments? FloraC (talk) 14:39, 2 October 2020 (UTC)

[4 -14 3 4⟩ is the Saquadzo-atriyo comma. Fun fact, tempering it out divides 81/80 into two Zozoyo commas (245/243). 9801/9800 is the Bilorugu comma. 352/351 is the Thulo comma. 351/350 is Thorugugu.

BTW feel free to tag me on FB if you want color names more promptly. (I check in there more often.)--TallKite (talk) 19:06, 3 October 2020 (UTC)

Upgrades for Ups and Downs notation

Hey Kite, Xenwolf and I are currently trying to come up with a notation system for 159edo, and we're having to use portions of Ups and Downs notation for ease of access. However, as we're also using Helmholtz-Ellis symbols, mainstream quartertone accidentals, and symbols derived from both systems as anchors for reference, so the dart up and dart down- the basic symbols of Ups and Downs notation- need a stylistic upgrade to blend in with the traditional accidentals, and furthermore, the dart up and dart down need to be identical in all respects save for orientation. In addition to this, Ups and Downs notation becomes quite unwieldy for larger EDOs like 159edo, leading us to create new glyphs- like the double dart up and double dart down, as well as the triple dart up and triple dart down- simply to make the representation more compact and reduce the clutter that happens otherwise. I'm hoping you can help us out with this on the relevant discussion page. Thanks. --Aura (talk) 21:19, 5 October 2020 (UTC)

Interesting. I will reply tomorrow. --TallKite (talk) 08:41, 6 October 2020 (UTC)

I'm looking forward to reading your thoughts on this. --Aura (talk) 15:54, 6 October 2020 (UTC)

Laying the Groundwork for New Areas of Music Theory

Hey Kite! I'm trying to lay some groundwork for new areas of music theory... Given your expertise in practical matters, I think you could evaluate what I have so far. Granted there are probably lots of flaws in my work, and that we'll disagree about stuff, but hopefully what I've done so far makes some degree of musical sense... --Aura (talk) 07:30, 17 October 2020 (UTC)

Thanks for asking my opinion. Sorry it's taken so long to get back to you. I'm writing an ear trainer for 41edo, and I've got 1500 lines of computer code in my head. I didn't dare put anything else in there for fear of losing my grasp of it! But now the project is completed enough that I can safely consider other things.

BTW I really like "Folly of a Drunk", very catchy! Do you happen to have a score for it?

I will evaluate your ideas on the discussion tab of your page.

Thanks! Here are some of the key chord progressions in "Folly of a Drunk" in case you missed them... --Aura (talk) 09:26, 1 November 2020 (UTC)

I do in fact have a score for the song, but the copyright listing on the score is outdated... --Aura (talk) 09:30, 1 November 2020 (UTC)

If you want, I can post the score on my user page. --Aura (talk) 09:47, 1 November 2020 (UTC)

Yes, please do!--TallKite (talk) 09:51, 1 November 2020 (UTC)

Alright, the score is up on my user page, and I did in fact respond to your comments on my 11-limit ideas. --Aura (talk) 10:32, 1 November 2020 (UTC)

Harmonize categories of interval pages

Hi TallKite, we are interested in your opinion about Categories of interval pages, thanks in advance for taking the time. --Xenwolf (talk) 21:21, 8 November 2020 (UTC)

OK--TallKite (talk) 05:19, 9 November 2020 (UTC)

Fifthspan question

Thanks in advance for having a look into Talk:Fifthspan #About ringy confusion. --Xenwolf (talk) 16:55, 20 November 2020 (UTC)

System for Describing Alpharabian Tuning

In evaluating my work on Alpharabian tuning, you asked if one can work backwards from my interval names, and if there a formula or an algorithm for that. So, I've decided to try and answer the question. After going through the list of names, and reevaluating the names in my system, yes, there 'is' a set of rules for how the names of the intervals in Alpharabian tuning are derived. However, there appears to be some modifications to my system that are required, and I will attempt to make some of them here.

There are three fundamental premises of the Alpharabian tuning system:

• Intervals that are in the 2.11 subgroup are all considered "Alpharabian".
• Intervals that result from the modification of a Pythagorean interval by 1089/1024 are labeled similarly to those modified in the equivalent fashion by 2187/2048, the only difference being that modification by 1089/1024 results in an Alpharabian interval rather than a Pythagorean interval.
• Since 1089/1024 is (33/32)^2, modifying a Pythagorean interval by 33/32 always results in an interval that is considered "Alpharabian".

There's also at least one known secondary premise at play:

• As both the rastma and 1331/1296 are subchromas that form differences between members of the 2.11 subgroup and Pythagorean intervals, both of these subchromas belong to a set of intervals defining different interval sets within Alpharabian tuning, and subchromas within this particular interval set help define the differences between Pythagorean, Alpharabian and Betarabian intervals.

The following rules are directly derived from the above premises:

• Generally, intervals that result from the modification of a Pythagorean interval by 33/32 take either the 'parasuper' or 'parasub' prefixes, however, there are a number of special cases...

• Augmentation of a Perfect Fourth or Perfect Fifth by 33/32 results in a Paramajor interval
• Dimunition of a Perfect Fourth or Perfect Fifth by 33/32 results in a Paraminor interval
• Augmentation of a Pythagorean Minor interval by 33/32 results in a Lesser Neutral interval
• Dimunition of a Pythagorean Major interval by 33/32 results in a Greater Neutral interval

• Generally, intervals that result that result from the modification of a Pythagorean interval by 1331/1296 take either the 'super' or 'sub' prefixes, with these prefixes generally being stacked where multiple such modifications occur, however, there are some significant caveats...

• Augmentation of a Pythagorean Minor interval by a single 1331/1296 results in a Supraminor interval, but a second such augmentation results in a Betarabian Major interval due to said interval differing from the nearby Alpharabian Major (covered under modifications by 1089/1024) by a rastma.
• Dimunition of a Pythagorean Major interval by a single 1331/1296 results in a Submajor interval, but a second such dimunition results in a Betarabian Minor interval due to said interval differing from the nearby Alpharabian Minor (covered under modifications by 1089/1024) by a rastma.

Modifying by combinations of 1331/1296 and 1089/1024 yields interesting results, but I have yet to properly create the part of the system for dealing with these sorts of things. I think we could afford to work together to develop this and to fix remaining flaws if you have the time. --Aura (talk) 17:22, 22 November 2020 (UTC)

I can name every note and every interval in the 2.3.11 subgroup using only ^ and v. And knowing only that ^1 is slightly less than half a sharp, the size of any interval can easily be estimated.

Here's a simple formula for converting a 2.3.11 monzo to ups and downs:

(a, b, c) = c * (-5, 1, 1) + (a + 5c, b - c) = c ups (or -c downs) + pythagorean interval

The pythagorean intervals are named conventionally as M2, m3, etc. So (0, -2, 1) = ^m3

Here's simple formulas for converting an upped or downed pythagorean interval to a monzo:

x ups + (a, b) = (a - 5x, b + x, x)

x downs + (a, b) = (a + 5x, b - x, -x)

Here's simple formulas for adding together two upped/downed intervals:

[x ups + (a, b)] plus [y ups + (c, d)] = (x+y) ups + (a + c, b + d)

[x ups + (a, b)] plus [y downs + (c, d)] = (x-y) ups + (a + c, b + d)

You don't even need formulas for this, actually. You just add up the pythagorean intervals as usual, then add in the ups and downs. Adding an interval to a note works the same way, as does finding the interval between two notes.

Here's the 2.3.11 lattice, with a vertical step equal to 33/32:

^^F  ^^C  ^^G  ^^D  ^^A  ^^E  ^^B

 ^F   ^C   ^G   ^D   ^A   ^E   ^B

  F    C    G    D    A    E    B

 vF   vC   vG   vD   vA   vE   vB

vvF  vvC  vvG  vvD  vvA  vvE  vvB

Each row is a chain of 5ths. The top row is the double-up row, next is the up row, next plain, next down, next double-down.

Another version of the lattice, with vertical steps of 11/8:

^^Eb ^^Bb ^^F  ^^C  ^^G  ^^D  ^^A

 ^Bb  ^F   ^C   ^G   ^D   ^A   ^E

  F    C    G    D    A    E    B

 vC   vG   vD   vA   vE   vB   ^F#

vvG  vvD  vvA  vvE  vvB  vvF# vvC#

Another version, with 1/1 - 11/9 - 3/2 and 1/1 - 27/22 - 3/2 triads forming triangles.

^^Fb ^^Cb ^^Gb ^^Db ^^Ab ^^Eb ^^Bb

    ^Ab  ^Eb  ^Bb  ^F   ^C   ^G   ^D

  F    C    G    D    A    E    B

    vA   vE   vB   vF#  vC#  vG#  vD#

vvF# vvC# vvG# vvD# vvA# vvE# vvB#

See how simple and clear it all is? Everything follows directly from ^1 = 33/32. So it's quite possible to have a very simple nomenclature for everything.

You have Alpharabian, Betarabian, Paramajor, Paraminor, Greater Neutral, Lesser Neutral, Supraminor and Submajor. And from your previous comments, Rastmic, Birastmic, and Trirastmic. Your nomenclature is way more complicated than it needs to be.

I've read what you've written several times and I still have no idea which parts of the lattice are Alpharabian, which are Betarabian, and which are neither. I also have no idea how to add together two intervals, or what note I get from adding an interval to a note, or how to name the interval between two notes. I suspect formulas for those things would be impossible.

So unfortunately, I don't see much point on working with you to improve your nomenclature. Because my first suggestion would be to drastically simplify it. We seem to have fundamentally different approaches. --TallKite (talk) 01:45, 26 November 2020 (UTC)

I do agree that we seem to have fundamentally different approaches... I know I'm taking inspiration from the SHEFKHED interval naming system and Pythagorean tuning, so there's that. If we cannot work together to define nomenclature, that's fine. I guess I'll just have to talk with other people about this then. --Aura (talk) 02:17, 26 November 2020 (UTC)

Your current additions to EDO pages

Hi Kite, I think it would be better to slow down in these additions. I'm currently evaluating the potential of Lua modules for this wiki, see https://dev.xen.wiki/w/User:Xenwolf/SandBox ... what I already learned is "revolutionary" especially to any ET templates and the prime approximation tables as well. To be more precise, as M2, m2, and A1 can be automatically calculated from P5 and P8 (steps of the given EDO), it's not necessary to do anything by hand any more:

--- Tonal properties of an EDO and its Fifth (draft)
-- @param P8 mumber of edo steps making an octave
-- @param P5 mumber of edo steps making a fifth
-- @return M2 size of the whole tone
-- @return m2 size of the diatonic semitone
-- @return A1 size of the chromatic semitone
local function tonal_props (P8, P5)
  local M2 = 2*P5 - P8
  local m2 = 3*P8 - 5*P5
  local A1 = 7*P5 - 4*P8
  return M2, m2, A1
end

I'll soon add a test case for this in the dev wiki. Hopefully this feature (Scribunto+Lua, see Version page there) will go to production soon. BTW: If you are interested in joining the evaluation effort, you are most welcome. --Xenwolf (talk) 11:26, 9 December 2020 (UTC)

Oh wow, cool! OK, I'll stop working. --TallKite (talk) 11:44, 9 December 2020 (UTC)

The observation of M2 being sometimes smaller than m2 or A1 makes me wonder if the naming couldn't be somewhat confusing, see table with M2, m2, A1 of all EDOs between 1 and 100 (inclusively) using the "patent fifth" round(edo*log2(3/2)) in all cases. --Xenwolf (talk) 14:21, 9 December 2020 (UTC)

I see your point, but I can't see any better option. I think calling them anything else would be even more confusing. I suppose we could omit the data for that handful of edos with a fifth > 3\5 or < 4\7. But to really understand these edos, you have to eventually come to terms with the fact that m2 < 0 or m2 > M2. So I think it's important information that should be included in the template. And for the vast majority of edos, the M2/m2/A1 numbers give an instant "lay of the land". Perhaps the solution is to have the template's phrases "Major 2nd", "Minor 2nd" and "Aug 1sn" link to an explanatory article? I could write something up. I've given supersharp and superflat edos quite a bit of thought over the years.

On a side note, I feel that there is a tendency for microtonalists to use too many decimal places. We sometimes forget that it's quite hard to hear a 1 cent difference, and a tenth of a cent is nearly impossible to hear. And yet people routinely write out thousandths of a cent. Of course, if an interval is stacked, those fractions of a cent can add up. Thus precision is good when talking about a rank-2 generator. But in any situation where an interval doesn't get stacked, I'm in favor of fewer decimal places. Because it's extra mental work to read the extra numbers, and filter out the unnecessary information. For example, I see no reason for an edo's table of intervals to have hundredths of a cent. Whole cents are fine. When would you ever need to know that e.g. 7\22 isn't 382¢ but actually 381.818¢? And if you needed the exact cents for some techy reason, you wouldn't get them from a xenwiki page. You would just type 7*1200/22 into a spreadsheet or a calculator. In fact, 22edo has interval tables in both formats. Take a look and ask yourself which is more readable? Now it would be a ton of work to edit all those interval tables, not suggesting that. Instead I bring this up because I saw on the linked page your tables for the edomappings. I see that you have the percentage error with a decimal place. I feel whole numbers is plenty accurate for the percentages. And tenths of a cent are fine for the cents errors.

Also, I notice what I call the edomapping you call the degree. But in conventional music theory, degree means something else. https://en.wikipedia.org/wiki/Degree_(music) The degree of 7\12 is not 7, but 5 (for 5th). So I don't think degree is the right term. I see you have both the reduced and unreduced edomappings. That's a good idea, but might it be better to have them on two separate rows of the table?

Finally, I see that you omit the prime 2 column. I know the information in that column is pretty redundant, but IMO it logically belongs there, and it would make the table more understandable to newbies. --TallKite (talk) 08:38, 10 December 2020 (UTC)

I agree to you in all the points. I'd use M2, m2, and A1 and link the combination of all three to a page we just need a good name for. I'd suggested to name this like "Tonal properties of EDOs", because it's about tonality in general and tone sizes specifically. FloraC disagreed about the neologism "tonal property". The common use of degree was unknown to me, so "steps" (sometimes "edomapping") would be good, I even thought of just "#" in interval tables. I also outright hate these phone numbers. We should have both: 1) easy to understand numbers in tables (sometimes, only in a few cases, higher precision values); 2) easy to understand pages (and lots of links to them) that explain how to calculate all this to deliberate precision. The precision in the interval tables probably needs a broader discussion: I recall that there were users who wished the current precision, I personally would agree with %+.1f for cents and %+.0f for relative cents. The 2-column for the prime interval tables is already built in (by passing an optional third +2 argument to the module function, see 3rd table in dev:User:Xenwolf/SandBox#Test Module:primes_in_edo). Seems now I answered all your questions; if not, please let me know. --Xenwolf (talk) 09:14, 10 December 2020 (UTC)

Your tonal system on my microtonal platform

Hi Kite,

I want to introduce myself and ask you some questions.

This is related to my work at the software microtonal platform. With this system, we can quickly develop a playable instrument implementing almost any tonal system and layout. It is not simply playable: one can play with 10 fingers on a touchscreen with unlimited chords and glissando — right in your Web browser. This is a pure in-browser platform — it can play locally, without the Internet and it has a very advanced synthesizer embedded in the code. All the work is totally non-commercial, open-source, and based on permissive licensing.

The platform is already actively used for teaching music in the Brainin method of predictive learning and development of musical intellect, the method developed by the prominent pedagogue V Brainin.

After the development of a set of instruments implementing some EDOs, I've done some research in rational-number interval systems and regular temperaments, and have been interested in the system and layout I've found presented on your xen.wiki page and your site. So, now I'm developing a couple of new experimental applications and one application is based on your system. It already does basic things, so you can try the live demo of this incomplete application — it is already colored :-) and can play. I have some ideas about it and would like to ask you some questions. Also, I would be happy with any ideas of collaboration.

What do you think? Thank you. — SA, Friday 2020 December 11, 07:56 UTC