Xebulun EnEssEitch

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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.

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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.

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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

124 years ago today, Gaetano Bresci, an Italian anarchist who had already risked his life to save Errico Malatesta from an assassination attempt, sacrificed his life to impose consequences on the king of Italy for the deaths of hundreds of poor working people.

Under interrogation, he insisted that he acted alone, and said:

“I’m sure I was not wrong to do what I did. I do not even intend to appeal. I appeal only to the next proletarian revolution.”

In his honor, we produced our first singing zine (sound on!). This particular zine performs “Alla stazion di monza,” one of several traditional Italian songs about Bresci’s courageous act of self-sacrifice.

You can read our biography of Bresci here:

https://crimethinc.com/bresci

🏴🏴🏴

Gaetano Bresci: Tyrannicide and Defender of the People

Bresci risked his life to save Errico Malatesta from an assassination attempt, then gave his life to impose consequences on the king for overseeing the murder of hundreds of poor working people.

CrimethInc.

🆕 blog! “Shakespeare Serif - an experimental font based on the First Folio”

Disclaimer! Work In Progress! See source code. I recently read this wonderful blog post about using 17th Century Dutch fonts on the web. And, because I'm an idiot, I decided to try and build something similar using Shakespeare's first folio as a template. Now, before setting off …

👀 Read more: https://shkspr.mobi/blog/2023/07/shakespeare-serif-a-new-font-based-on-the-first-folio/

#font #python #shakespeare

Shakespeare Serif - an experimental font based on the First Folio

Disclaimer! Work In Progress! See source code. I recently read this wonderful blog post about using 17th Century Dutch fonts on the web. And, because I'm an idiot, I decided to try and build something similar using Shakespeare's first folio as a template. Now, before setting off on a journey, it is worth seeing if anyone else has tried this before. I found David Pustansky's First Folio Font. There's not much info about it, other than it's based on the 1623 folio. It's a nice font, but missing …

Terence Eden’s Blog

Here you see a dominant seventh chord (with notes connected by blue edges):

G B D F

and its 𝘁𝗿𝗶𝘁𝗼𝗻𝗲 𝘀𝘂𝗯𝘀𝘁𝗶𝘁𝘂𝘁𝗶𝗼𝗻 (with notes connected by red edges):

C♯ F G♯ B

Each note in the tritone substitution is a tritone higher than the corresponding note in the dominant seventh chord - so it's the point on the opposite side of the circle.

But two notes in the dominant seventh were directly opposite each other to begin with: B and F. So these are also in the tritone substitution!

This makes the tritone substitution sound a lot like the original dominant seventh chord.

See the square of notes? Three are in the original dominant seventh, and three are in the tritone substitution. Musicians like such squares of notes, even though they're quite dissonant. They're called 𝗱𝗶𝗺𝗶𝗻𝗶𝘀𝗵𝗲𝗱 𝘀𝗲𝘃𝗲𝗻𝘁𝗵 𝗰𝗵𝗼𝗿𝗱𝘀. But let me stop here instead of blasting you with too much information.

Let's actually listen to some tritone substitutions!

By the way, if you want to sound like a jazz hipster, you say 𝘁𝗿𝗶𝘁𝗼𝗻𝗲 𝘀𝘂𝗯. But don't mix this up with the submarine used by the Greek god of the sea born of Poseidon and Aphrodite: that's the 'Triton sub'.

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