YoVariable
YoVariable
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Bach's C major prelude in three different tunings (WTC I, BWV 846)
I performed Bach's Prelude in C major in three different tunings: 22edo (close to 1/4-comma superpyth), 19edo (close to 1/3-comma meantone), and 12edo (standard tuning, close to 1/11-comma meantone or full-comma schismatic). Shoutout to @FranciumMusic for arranging this prelude in 22edo! Which tuning sounds better?
Link to Francium's video: czcams.com/video/o36TKOyoWh0/video.html
More information about the tuning systems:
Superpyth (Superpythagorean): Superpyth temperaments have perfect fifths sharper than the just perfect fifth, 3/2 (~702¢), typically around 710¢ in size, so four stacked perfect fifths (with octave reduction) make close to a 9/7 supermajor or septimal major third. Pythagorean tuning is generated with pure 3/2s while superpyth is generated with a sharper 3/2, thus the name "superpyth". The just major third, 5/4, is found by stacking nine perfect fifths, which maps 5/4 to the augmented second (e.g., C to D#). This makes the diatonic semitone or minor second (e.g., D# to E, C to Db) incredibly small, typically close to a quarter tone (~50¢) in size. Overall, superpyth temperaments simplify 7-limit intervals while complicating 5-limit intervals.
Meantone: Meantone temperaments have perfect fifths flatter than 3/2, typically around 696¢ in size, so four stacked 3/2s (with octave reduction) make close to a 5/4 just major third. The name "meantone" was derived from the fact that the whole tone of meantone temperaments is typically the geometric mean of the 9/8 and 10/9 whole tones in just intonation. 1/4-comma meantone, the most used meantone temperament of the 16th and 17th centuries makes 5/4 pure or beatless. 1/3-comma meantone instead makes the just minor third, 6/5, pure or beatless by flattening 3/2 even further to around 695¢. 19edo's minor third is only around 0.15¢ sharp of 6/5, making it indistinguishable from 1/3-comma meantone. Meantone temperaments are also the most familiar to Western-trained musicians as Western music theory is built around meantone temperaments. Overall, meantone temperaments simplify 5-limit intervals while complicating 7-limit intervals.
Schismatic: Schismatic temperaments have perfect fifths very close to pure 3/2, typically around ~701-702¢, so four stacked 3/2s (with octave reduction) make close to an 81/64 Pythagorean major third. The just major third is instead mapped to the diminished fourth, eight 3/2s down (e.g., C to Fb). This also means 6/5 is mapped to the augmented second (e.g., Fb to G, C to D#). Schismatic temperaments are very consonant and sound almost identical to just intonation. Overall, schismatic temperaments simplify 3-limit (Pythagorean) intervals while complicating both 5- and 7-limit intervals.
1st tuning: 22edo: 0:00
2nd tuning: 19edo: 2:37
3rd tuning: 12edo: 5:02
#prelude #bach #lumatone #piano #microtonal
zhlédnutí: 289

Video

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Komentáře

  • @Lucius_Chiaraviglio

    A combination of parts that work and intervals that sound out of tune -- hard to convert from a proper meantone tuning to one with a fifth that is so sharp. But the idea is not wrong -- 34EDO seems like it was MADE for this: fifth only mildly sharp, and exceptionally clean 5-limit harmony (use 34dh if you need to sprinkle in higher-limit stuff, but for something like this you wouldn't need it). Examples of use seem to be relatively few, but here's one: czcams.com/video/8vyiBt-LyR4/video.html -- features both very clean 5-limit harmony and exotic intervals (of course, this is a _de novo_ composition, not a conversion as far as I know). Edit: Just found a conversion to 34EDO: czcams.com/video/CwMem5p1R6Y/video.html -- and it works surprisingly well (caution: as noted in a banner in the video, the notation has redefined natural notes, so you won't see accidentals where you would expect them).

  • @incription
    @incription Před 5 dny

    ok but why is this keyboard $4000

    • @YoVariable
      @YoVariable Před 5 dny

      @@incription 280 fully customizable keys, the intricacy of the Lumatone, the fact that it allows you to explore all kinds of alternative tuning systems, isomorphism, and the fact that there are only two engineers who design and manufacture each Lumatone all contribute to the $4000 price tag

  • @BGQT
    @BGQT Před 7 dny

    just intonation simple ratios ahh sounding temperament💀💀🙏🙏😭

  • @FranciumMusic
    @FranciumMusic Před 7 dny

    Thank you sooo much for performing my 22edo arrangement! It sounds like I expected to sound like. Well done! And I noticed that you used the harmonic 7th in 19edo, but unfortunately it turns out to be noticeably too flat (at least for my personal flavour). But it's still interesting.

    • @YoVariable
      @YoVariable Před 7 dny

      ⁠​⁠​⁠@@FranciumMusic Of course! I used the harmonic 7th in 19edo as a passing tone; it is too flat for my ears as well. I’m also a guitarist, so I’m planning to choose 19edo as the tuning system for my first xen guitar! I play a lot of diatonic music so 19edo is the obvious choice, even if 22edo does offer better approximations to the harmonic series.

  • @originalname7176
    @originalname7176 Před 7 dny

    also nice hands

  • @originalname7176
    @originalname7176 Před 7 dny

    I have no idea how you do all this, this is soo beautifull and you like explained everithing soo well and I did understand everithing. I can't express how talented you are for not only knowing all this but also pkayng it and explaining it ! Thank you you are some special l

  • @user-we5mi6zl2s
    @user-we5mi6zl2s Před 13 dny

    I can read all his music. Technically if there are eight grades of Chopin l am around grade 2.

  • @_sadtahh
    @_sadtahh Před 15 dny

    Watt your server?

  • @_sadtahh
    @_sadtahh Před 15 dny

    One like❤

  • @martakor
    @martakor Před 15 dny

    I try to like this, but no. It sound too out of tune in inappropriate way.

    • @YoVariable
      @YoVariable Před 15 dny

      @@martakor It’s funny that I find 12edo quite “out of tune”

  • @iamlalala1995
    @iamlalala1995 Před 18 dny

    this is like spring water

    • @YoVariable
      @YoVariable Před 18 dny

      @@iamlalala1995 glad to hear it!

  • @romeolz
    @romeolz Před 20 dny

    this is probably the first ever conversion from 12 to 22 (or any non-meantone) where i wouldn't change a single note!

    • @YoVariable
      @YoVariable Před 20 dny

      it's like every note is perfect!

  • @05degrees
    @05degrees Před 21 dnem

    Too short. 😛 Thanks.

    • @YoVariable
      @YoVariable Před 21 dnem

      @@05degrees op. 1 no. 2 will be longer 😛

    • @05degrees
      @05degrees Před 20 dny

      @@YoVariable 👏

  • @05degrees
    @05degrees Před 21 dnem

    Niiiiceeee.

  • @NickOleksiakMusic
    @NickOleksiakMusic Před 22 dny

    😮 Dang...That's so trippy but equally beautiful in its own right!

  • @rosiefay7283
    @rosiefay7283 Před 23 dny

    Why change any of the pitches by half a semitone?

    • @YoVariable
      @YoVariable Před 23 dny

      @@rosiefay7283 Can you please clarify? I don’t quite understand what you mean.

    • @rosiefay7283
      @rosiefay7283 Před 22 dny

      @@YoVariable 31ET is meantone, so whatever spellings are correct in 12ET are the correct ones for 31ET. Consider b.6. The chord is V7 of G major; it uses the 4th degree, which here is C. You've lowered it by half a semitone; why? (This lowering is all the more surprising, considering that you leave the C alone in b.4.) Then in b.7, where Chopin lowers the A by a semitone to A♭, you lower it by a further half a semitone; why? These half-semitone alterations make no harmonic sense.

    • @YoVariable
      @YoVariable Před 22 dny

      ⁠@@rosiefay7283 the D7 chord that you’re referring to is a D **harmonic** 7th chord, with the 7th lowered by a diesis. The diesis (128/125) is the technical term for these “half-semitone” alterations you’re referring to. Even though diatonically Cd (semiflat) is “out of tune” in both G major and C major, harmonically it matches the 4:5:6:7 frequency ratios that make up a harmonic 7th chord, giving it more stability. As 31edo is a meantone temperament, like you pointed out, 7-limit intervals are more difficult to notate. I could have easily notated the Cd as an B# (an augmented 6th up from D). In measure 7, I decided to replace the Ab with an Adb (sesquiflat) to match the 6:7:9 harmonic ratio of a subminor triad, which I found more consonant. I could have notated it as a G# (an augmented 2nd above F). If I notated 10-1 in a superpythagorean (superpyth) temperament instead, I would notate the Cd as C and the Adb as Ab as they match the 7/4 and 7/6 harmonic ratios corresponding to their root notes (because of tempering).

  • @coral6601
    @coral6601 Před 23 dny

    Quite ugly for me 😢

    • @YoVariable
      @YoVariable Před 23 dny

      @@coral6601 once you expose your ears to more microtonality, they will adjust (trust me, I know from experience). 17edo’s major 3rd is sharp at 423.53 cents (23.53 cents sharper than in 12edo standard tuning), which brings it closer to sounding like a supermajor 3rd. However, the minor 3rd at 282.35 cents is closer to sounding like a subminor 3rd, so subminor triads tend to sound smooth in 17edo :)

    • @coral6601
      @coral6601 Před 23 dny

      @@YoVariable thanks for your answer (I am French) probably your sensitivity is different because you are certainly younger than me who is 73 , you can find interest in playing these computer games which I find boring after 2 minutes and completely irrealistic ,how can you feel interest for jumping 3D animation ,the real artist are the developers who spend so much time on these bur for the consumer no much interest ,all these technologies are good to learn how to pilot a plane but is it good to learn how to killed people ? My main interrogation is how is it possible that so many people who like that kind of computer game are not only loosers ,I mean the average drugs dealer or guy with no work leaving from gouvernement assistance ,for these kind of loosers I can understand that but I am surprised that intelligent guy like you and many musicians have interest in these video games and the music they are composing are beautiful, also I like the modern piano compositor I see on YT ,Tony Ann ,Chahine ,Gibran Alcocer and many other giving a new breath to classical piano , thank you to read my long answer to share some thoughts about music , I think that in school and center for learning and educative purpose for young a piano and a teacher must be at disposition to play all these modern and classical piano compositions to give them the envy to learn music and not spend so much time on video games 🙂

    • @05degrees
      @05degrees Před 21 dnem

      @@YoVariable I agree, you pick up some ear fluidity over time. I think “out-of-tuneness” has left me almost entirely by now after two or three years of episodic listening to alt-tuning music, though I still have feelings like dissonance or something else in my arsenal when I want to try and feel an interval or a chord. (The last one is added if anybody’s anxious to lose all distinctions in their sound perception: no, they will retain, you’ll just become a more sophisticated listener.)

  • @MiScusi69
    @MiScusi69 Před 24 dny

    He uses Arch btw

  • @thibomeurkens2296
    @thibomeurkens2296 Před 28 dny

    That I don’t hear anything strange here might be sign I don’t have a good musical ear but it does sound great 😂

    • @YoVariable
      @YoVariable Před 28 dny

      @@thibomeurkens2296 in 31edo, a lot of intervals are closer to the pure tuning of just intonation, so they tend to sound more consonant :)

  • @FranciumMusic
    @FranciumMusic Před měsícem

    Interesting

    • @YoVariable
      @YoVariable Před měsícem

      It truly is as 22edo shares some sonorities with 55edo (~1/6-comma meantone, used by Mozart) as both tunings have 11edo as subsets. The only major difference is 55edo tempers out 81/80 while 22edo doesn’t.

  • @BGQT
    @BGQT Před měsícem

    ghvgvhuggv

  • @BGQT
    @BGQT Před měsícem

    ah yes 22edo

  • @BGQT
    @BGQT Před měsícem

    the only division of an octave that only let you play supermajor chords and not regular major chords

    • @YoVariable
      @YoVariable Před měsícem

      actually, you can play regular major chords with 7\22 (~381.818 cents)

    • @BGQT
      @BGQT Před měsícem

      @@YoVariable Ok

    • @05degrees
      @05degrees Před 21 dnem

      @@BGQT Maybe 17edo will fit under this description! 5\17 is unambiguously neutral at 353¢, but 6\17 is already 424¢. Though we have also 4\14 ≈ 343¢ and 5\14 ≈ 429¢, or: 3\11 ≈ 327¢ and 4\11 ≈ 436¢. I don’t remember where approximately do supermajor thirds reside but this all probably goes alright. That’s why I’m trying not to have any faith in statements about uniqueness of things’ properties like these, they’re not especially robust if we jiggle things a bit. There are robust uniqueness statements of course but I don’t know how to suggest how to discern them in general way, they just feel different. EDIT: What would be more robust in this area is for example “36edo is the smallest to have all three of diatonic, antidiatonic and oneirotonic fifths”. There was some theory backing this but I don’t remember it exactly; it relates to 35edo being both multiple of 7 and 5, the fifths 4\7 and 3\5 of which are exact diatonic fifth bounds.

    • @05degrees
      @05degrees Před 21 dnem

      Now I wonder which smallest edo has all four of meantone, superpyth, antidiatonic and oneirotonic fifth. There is no MOS scale magic to discern meantone from superpyth to guide us then, because log₂(3/2) is irrational.

    • @romeolz
      @romeolz Před 21 dnem

      The answer is 47edo

  • @originalname7176
    @originalname7176 Před měsícem

    How do you exactly do you do theese transcription things ?

    • @YoVariable
      @YoVariable Před měsícem

      I transcribe and arrange on Dorico, choose a nice piano VST (this is using the Clean Upright LoFi piano), record everything using OBS, and edit everything using a video editor (I use Kdenlive, it’s free and open source).

  • @bartram4037
    @bartram4037 Před měsícem

    they be cookin

  • @calexito9448
    @calexito9448 Před měsícem

    Sounds so nice except for diministed chords haha

    • @YoVariable
      @YoVariable Před měsícem

      Thanks! What diminished chords are you specifically referring to?

  • @bexiexz
    @bexiexz Před měsícem

    perfection

  • @nicolamigone8849
    @nicolamigone8849 Před měsícem

    Great work, you gained a follower. Your Arch pfp wasn't unnoticed too ;)

    • @YoVariable
      @YoVariable Před měsícem

      Thanks for your support! I’m glad someone else noticed my pfp ;)

  • @unkn0wn._.acc0unt65
    @unkn0wn._.acc0unt65 Před měsícem

    The dissonance gives an interesting sound, keep Up the good work!

    • @YoVariable
      @YoVariable Před měsícem

      Thank you! There are times when 17edo can sound consonant :)

  • @stephenweigel
    @stephenweigel Před měsícem

    Neat composition! I wonder if one could play it on a 12-out-of-17 per octave keyboard.

    • @YoVariable
      @YoVariable Před měsícem

      Probably not the neutral section but for the rest it’s possible!

    • @stephenweigel
      @stephenweigel Před měsícem

      @@YoVariable Ah yes I see what you mean

  • @originalname7176
    @originalname7176 Před měsícem

    Verry fancy and beautifull ! And like, im curios, how does your perfect pitch work exactly with microtonal tunings ?

    • @YoVariable
      @YoVariable Před měsícem

      Good question! 17edo is a great example for this. When I hear a G in 17edo, I immediately recognize that it’s a flatter G than in 12edo, getting into subminor territory (paired with an E as the root note). When I hear an Ab, the 3rd cannot decide whether it’s major or minor; it just sounds like a train horn, which indicates to me that it’s a neutral 3rd. When I hear a G#, I hear it as a strained major 3rd, but it doesn’t feel as consonant as a 9/7 supermajor 3rd, but it’s still a supermajor 3rd nonetheless, closer to 14/11.

    • @originalname7176
      @originalname7176 Před měsícem

      @@YoVariable dude for me G in 17edo is sharper than the G in 12 because I use a fixed C sistem, I tune all my tunings to C=261.6255653005986 Hz I think you are using a fixed A sistem at 440 and tune 17 around that note. for me I feel the G is sharper than 12 because superpythagorean. for you is flatter because if A is 440hz the major second is ~212 and thus G being ~12 cents flatter . I feel kinda insecure about my perfect pitch because it's not (perfect). assuming 12edo A440 I can tell the name of a pitch relatively quickly, without thinking ,but on G and F im a bit slower. and I can't do chords 3 or more notes. I simply can't unless its C major. or it just takes me way too long . And I also can't recognise notes if they go too fast like in a melody or in a song. But I can tell you car honks and other straight tones easely and also theyr aproximate cent deviations . Im verry annoyed when I hear chords in a song I like and don't know what they are, it ruins my listening experience.

    • @YoVariable
      @YoVariable Před měsícem

      @@originalname7176 you’re right, I tune mostly to A440 so the G does sound flatter. But if I tuned to C = ~261.626 Hz, then the G would sound sharper because of superpyth.

    • @YoVariable
      @YoVariable Před měsícem

      @@originalname7176 for me, at least, I can immediately tell the key of a song and if I actively listen, then I can identify the chords being played (I’m working on identifying more complex chords like 11th and 13th chords). In microtonality, harmonic 7th chords are very easy for me to identify; I just listen to the prevalent harmonic 7th (7/4) in the chord.

    • @originalname7176
      @originalname7176 Před měsícem

      @@YoVariable I'm happy for you ! (jelous) But I'm really confused. Do I even have perfect pitch if I can't tell the key of songs like you ? I think I have true pitch, like when I was little I had theese silly musical toys, like a tiny electric piano and a xilophone. I think I developed 50% of perfect pitch and just stoped, it wasn't enough for me to have actual perfect pitch. But in my teenage years, I think I started learning true pitch (quasi-perfect pitch) and I completez the rest 50% with that ? Soo I want to beleve I have an even mix of perfect pitch and true pitch, this is a thing that really bothers me. I technacly have perfect pitch but I feel like I have a dissability when comparing myself with people with actual perfect pitch, sorry for telling you this, it's been on my mind for a while and I didn't know where else to say it If you could give me some advice I would really like it but you don't need to really . Please have a nice day sorry to bother you ♡

  • @YoVariable
    @YoVariable Před měsícem

    Sheet Music: drive.google.com/file/d/16sfY8faquF3KlD6hRZ0NxFi51JJXIdut/view?usp=sharing

  • @DorothyOzmaLover
    @DorothyOzmaLover Před měsícem

    Very expressive with interesting color and rhythms that catch the ear, cheers!

  • @plasmapig1356
    @plasmapig1356 Před měsícem

    I don't know why but I love the sound of bar 25. Is there a name for that chord?

    • @YoVariable
      @YoVariable Před měsícem

      Yes, it's simply called an A harmonic seventh chord (A C# E Gd or A C# E Fx, Fx = Gd in 31edo). It corresponds to the 4th, 5th, 6th, and 7th harmonics (4:5:6:7) in the harmonic series.

  • @omaramador6133
    @omaramador6133 Před měsícem

    Your skills really show, especially around the interlude solo. Nicely done!

    • @YoVariable
      @YoVariable Před měsícem

      Thanks a lot! Much appreciated!

  • @RavenTive
    @RavenTive Před měsícem

    top!!

  • @theklavoo
    @theklavoo Před měsícem

    yeah

  • @ytang3
    @ytang3 Před měsícem

    Now play it on a Lumatone...

    • @YoVariable
      @YoVariable Před měsícem

      i don't have the space to set it up yet but i did order one :)

  • @BGQT
    @BGQT Před 2 měsíci

    0:09

  • @BGQT
    @BGQT Před 2 měsíci

    0:06

  • @infrultra
    @infrultra Před 3 měsíci

    Guhhhhhh you make it sound so natural 😳😳😳😳😳

  • @stephenweigel
    @stephenweigel Před 3 měsíci

    Wow, Dorico handles microtonal guitar bends well! The notation looks great. My ear got used to the bb5 in the riff really quickly, I find this to be almost completely non-xenharmonic. Hehe, I’d love to do a cover of a metallica song, where all the E’s are gone, but the meter is simply skipped. No time, though, and there are other things to do.

    • @YoVariable
      @YoVariable Před 3 měsíci

      The b5 in 19edo was too sharp for my ears, so I used the bb5 which sounded more natural (it honestly sounds better than the 600¢ tritone). 19edo is very flexible; since it is a meantone and diatonic edo, it can be as familiar or xenharmonic as you would like. Maybe when you have more free time, you should do that Metallica cover :)

    • @stephenweigel
      @stephenweigel Před 3 měsíci

      @@YoVariable FASCINATING! I believe it. You can get 19edo semitones to sound neutral-secondy if you’re clever enough.

  • @nathansouthon3223
    @nathansouthon3223 Před 4 měsíci

    How far off from JI are 4ths/5ths in 19tet?

    • @YoVariable
      @YoVariable Před 4 měsíci

      they're about 7.2 cents off from JI, but they add a nice beating effect

  • @originalname7176
    @originalname7176 Před 4 měsíci

    This is lovely ! ❤

    • @YoVariable
      @YoVariable Před 4 měsíci

      Thanks for your support! ❤️

  • @YoVariable
    @YoVariable Před 4 měsíci

    **Turn on CC for important notes!** Free PDF with Tabs: drive.google.com/file/d/1ZpBi5dPzCAEu4Wi4QDUZAo3rQ11_xtrd/view?usp=drive_link If you want to learn more about 19edo, the Xenharmonic Wiki is a great resource: en.xen.wiki/w/19edo Microtonalists, I challenge you to attempt to play some of this transcription (it does not matter how much, but at least something).

  • @elliottblum7925
    @elliottblum7925 Před 4 měsíci

    I like how it sounds the same to me

    • @YoVariable
      @YoVariable Před 4 měsíci

      honestly you just have to really listen to it there is a noticeable difference

  • @RememberGodHolyBible
    @RememberGodHolyBible Před 4 měsíci

    How are you doing microtonal stuff in musescore 4 especially with custom accidentals and playback. Do you have to tune each note by hand? Or can you merely set the tuning, enter the notes on the score, and it plays as you want. I would like to tune this in Pythagorean tuning, but thought musescore 4 did not do anything microtonal.

    • @YoVariable
      @YoVariable Před 4 měsíci

      You can use microtonal plugins to do most of the retuning, which I have done. In the pinned comment, I have posted a new link to the plugin (although you can try euwbah's new Xen Tuner and see if that will work). I switched over to Dorico recently as it has better microtonal support.

    • @RememberGodHolyBible
      @RememberGodHolyBible Před 4 měsíci

      Yes i am planning to switch to dorico very soon. Is the standard score for this available for free online? I see your 31 edo score, but i would need to see the original chords spellings to properly do it.@@YoVariable

    • @YoVariable
      @YoVariable Před měsícem

      @@RememberGodHolyBible Here's the standard score: drive.google.com/file/d/18mH2P3nLPMJfYhENbo9H9cMq1zDVvFny/view?usp=drive_link I'm now using a different plugin called Xentuner by Keenan Pepper that you can reference right here: github.com/keenanpepper/musescore-xentuner Also, download this custom 31edo JSON retuning file I created and place it in the examples folder of the plugin: drive.google.com/file/d/1_nNzWrYAXSU98MVQM8ANwbmeB8sLPTOa/view?usp=drive_link