Mozart - Piano Sonata No. 16, K. 545, Allegro but it's Microtonal (22edo)
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- เผยแพร่เมื่อ 2 ต.ค. 2024
- This piano sonata, specifically this 1st movement, is something all pianists will play or have already played (myself included). This sonata is also known as the "Sonata semplice", or "easy sonata". Mozart intended this sonata to be played by beginner pianists, but ironically, the sonata is meant for intermediate to advanced pianists (like myself).
I decided to arrange the entire 1st movement in 22edo/22-TET, one of my favorite microtonal tuning systems. Unlike meantone tunings, the fifth is tuned sharp (~709.091 cents), which simplifies 7-limit intervals while making 5-limit intervals more complicated. This is called superpyth (superpythagorean) temperament. A key characteristic of 22edo is it tempers out the septimal comma, 64/63 (like 12edo), but not the syntonic comma, 81/80, so wolves exist (though they are tempered to 11/8 and 16/11, which are more consonant than Pythagorean wolves). This is my first time arranging something in a non-meantone tuning, so tell me how I did!
Sheet Music: drive.google.c...
#piano #microtonal #22edo #22tet #superpyth #meantone #xenharmonic #mozart
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: th-cam.com/video/8vyiBt-LyR4/w-d-xo.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: th-cam.com/video/CwMem5p1R6Y/w-d-xo.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).
The original effect pinched even more.
this is probably the first ever conversion from 12 to 22 (or any non-meantone) where i wouldn't change a single note!
it's like every note is perfect!
they be cookin
good stuff
@@Mintice thanks!
Interesting
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.
ah yes 22edo
How do you exactly do you do theese transcription things ?
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).
Niiiiceeee.
the only division of an octave that only let you play supermajor chords and not regular major chords
actually, you can play regular major chords with 7\22 (~381.818 cents)
@@YoVariable Ok
@@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.
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.
The answer is 47edo
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