Name: 折りたたみ時空 (Folding Space-Time)
Uploaded: 2021-01-14T10:29:09.000Z
Duration: 7 min 20 s
Description: VoiceTubeの動画で発音を聞きながら英語表現を覚えよう！学べる英語：

So in my sphere flakes video, I joked about folding and cutting

space time, but then I thought, hey, why not?

Well, when we wanted to fold and cut only space,

we chose a medium that takes place in space.

That is, static paper cut outs, or sphere sculpture.

Music has two easily recognizable dimensions.

One is time, and the other is pitch space.

but it's one dimensional, which makes things easier.

But let's not be confused with the notation.

There's a few things to notice about written music.

And you can only interpret it into the beautiful music

Kind of like how a book is squiggles on a page

that your brain interprets into a meaningful story.

And maybe you don't understand it at all,

or understand just a literal surface meaning of the action.

Or maybe you can read deep and critically

into a story that's simple on the surface,

and get more from it than even the author intended.

a two-dimensional space of pitch and time,

Like, there's the suggestion that this is the time axis,

Even though you're changing the values on the x-axis.

Some more modern composers do make use of spatial notation,

stretch out words or play with formatting.

But in standard notation, a stretched out word only

means your text editor is terrible at justified margins,

and has nothing to do with the word itself.

So I'm going to use something a little closer to reality.

I've got this music box that plays a paper tape.

This is why music boxes usually come attached to wooden boxes.

I don't have a wooden box, maybe this nice wooden bowl.

does translate directly to time, assuming constant crank speed.

The box also has a set C major scale on one staff,

so pitch space is represented pretty directly.

You don't have to worry about sharps and flats, or the space

between staves, or the infinite possibilities

on a continuous logarithmic frequency scale.

The box magically ignores all notational elements,

Each hole, each note, is a point on this strip of space time.

It's easy to fold time so that it goes both forwards

Then we can punch in some notes, and unfold it,

into a symmetric melody that goes first forwards, and then

It sounds the same whether I play it like this--

But maybe you want to fold time into one finite chunk.

infinitely, to get a little time chunk to cut up.

folded space time requires the use of power tools.

Or you could leave time alone and fold space,

Maybe you could try folding at other angles,

but now you're mixing up the space and time axes.

And mixing up space and time is hazardous.

Though you could flip both space and time, which

字幕リスト動画再生

折りたたみ時空 (Folding Space-Time)

assume

constant

stretch

simultaneously