Xebulun EnEssEitch

194 Followers
637 Following
1.2K Posts
Liberate Te Ex Inferis

It's sort of amazing that one of the most popular living classical composers - Arvo Pärt, who runs neck and neck with John Williams in how often his music gets played live - uses a mathematical system to create his music. Here's a great video on how it works.

Briefly, he likes to compose with two voices, which he calls the M-voice and the T-voice. The M-voice plays melodies in a diatonic scale, which are often mathematically patterned. The T-voice is restricted to playing notes in a particular triad, following a precise rule. For example, it might play the lowest note in the triad that's above the M-voice.

This produces a unique effect. The restrictions, and Pärt's use of religious texts, give the music a vaguely medieval sound. But it's not really like that old music at all. Since the M-voice stays in a diatonic scale, and T-voice stays in one triad, the music sounds very 'pure'. But the rules sometimes put the T-voice just a tone or semitone away from the M-voice, hence dissonant. The result sounds both ancient and futuristic.

Here I haven't even gotten to the symmetries in Pärt's music! For that, watch the video. You'll be able to see the patterns while hearing them.

(1/n)

https://www.youtube.com/watch?v=3u903Z0_Zzc

How to compose like Arvo Pärt, tintinnabuli style

YouTube

By the way, here you can see a calculation of the expected energy of a quantum harmonic oscillator:

https://phys.libretexts.org/Bookshelves/Thermodynamics_and_Statistical_Mechanics/Essential_Graduate_Physics_-_Statistical_Mechanics_(Likharev)/02%3A_Principles_of_Physical_Statistics/2.05%3A_Harmonic_oscillator_statistics

And here's a little sanity check. I said the expected energy divided by temperature is

x/(eˣ - 1)

where x = 1/T. But in the limit T → ∞ the quantum harmonic oscillator should reduce to the classical harmonic oscillator. For that, the expected energy divided by temperature is just 1, since the oscillator has 2 degrees of freedom (position and momentum), and the equipartition theorem says we should get 1/2 times the number of degrees of freedom. And indeed, the limit of

x/(eˣ - 1)

as x → 0 is 1.

This number 1 is also, by definition, the 0th Bernoulli number! So the 0th Bernoulli number is telling us the energy per temperature of an oscillator in the high-temperature limit. The rest of the Bernoulli numbers are telling us the 'low-temperature corrections' to the energy per temperature:

x/(eˣ - 1) = B₀ + B₁x + B₂x²/2! + B₃x³/3! + ....

where x = 1/T.

(2/3)

2.5: Harmonic Oscillator Statistics

Physics LibreTexts

How MIT copes without Elsevier

MIT leaders describe their experience of not renewing the largest journal contract as "overwhelmingly positive". Read what happened after they cancelled.

http://druedin.com/2024/08/16/how-mit-copes-without-elsevier/

#FAIR #OpenScience #OpenAccess

How MIT copes without Elsevier

MIT leaders describe their experience of not renewing the largest journal contract as “overwhelmingly positive”. Read what happened after they cancelled…

Didier Ruedin

When we talk about welfare we usually focus on the vulnerable & the poor... however as Prem Sikka argues here (implicitly following earlier work by Kevin Farnsworth), one of the real major recipients of government welfare is the corporate sector.

[Farnsworth neatly called this 'Corporate Welfare']

The normalisation of this help to corporations, while welfare cuts hit the recipients of what we usually see as 'welfare' is the story of C20th/21st capitalism.

#capitalism

https://leftfootforward.org/2024/08/the-state-needs-reconstructing-so-it-delivers-on-welfare-for-people-not-corporations/

The state needs reconstructing so it delivers on welfare for people, not corporations

'There is no guaranteed income for citizens but the state guarantees corporate profits.'

Left Foot Forward: Leading the UK's progressive debate

OK gang! This is ready for you to test.

python tweet2html.py --css 1234

That will take a Twitter ID and return HTML and CSS for you to embed in your website with no calling back to Twitter.

Features:
🗣 Avatars inlined as Base64 WebP
📸 All attached photos inlined
🎥 Video poster inline, <video> to original source
🔗 Hyperlinks don't use t.co
#️⃣ Hashtags and @ mentions linked
🕰 Semantic time
♥ and 🗨 counts

Try it out at https://github.com/edent/Tweet2Embed

Feedback and pull requests very welcome!

GitHub - edent/Tweet2Embed: Convert a public Tweet into embedded semantic HTML

Convert a public Tweet into embedded semantic HTML - edent/Tweet2Embed

GitHub

> (…) split the index, which is to say the part of Google Search that scrapes the web and makes that content searchable, from the search user interface, and manage that index as a public utility that different search services could rely on and pay for, an idea that was suggested in a recent paper.

That would be incredible. I wish regulators would make Commons Enforcement a regular part of their playbook.

Commonify the monopolizers’ complements!

https://gwern.net/complement

https://mastodon.social/@robin/112933151964297678

Laws of Tech: Commoditize Your Complement

A classic pattern in technology economics, identified by Joel Spolsky, is layers of the stack attempting to become monopolies while turning other layers into perfectly-competitive markets which are commoditized, in order to harvest most of the consumer surplus; discussion and examples.

Nullsoft_DOSAmp.wsz - Winamp Skin Museum

The Mighty Disk Operating System lives again. Tristam

@gsuberland *amongst
@gsuberland it's fun in this respect to reconsider why historically universally between cultures certain activities were deemed important to repeat in certain places and at certain intervals.
@gsuberland the notion however is a fantastic. i regularly try to think how occasions interpenetrate in non-linear time. we typically consider only one of the square roots when thinking about the causal structure of space-time. if lightcones are continously converging simultaneously as diverging from point events then they interpenetrate indefinitely but there is a direct analogy to a varying refractive medium.