Woah, so cool when a topic I was going into in depth gets to HN.
I'm a relatively new adult beginner on the violin, and one of the fascinating (and extremely difficult) things about un-fretted string instruments is the player has the freedom to shift the tuning around to fit the context. On the violin, we normally play melodies and scales using Pythagorean tuning (which is actually a misnomer as Pythagoras didn't invent it, the ancient Mesopotamians did), which is based on the circle of fifths and leads to wider whole steps and narrower half steps than equal temperment tuning. But then for double stops (i.e. chords), and especially when playing in a string quartet, just intonation, which is based on the harmonic series, is used so the notes sound concordant. This page describes all the different tuning systems a violinist may use, also including 12 TET when trying to match a piano: https://www.violinmasterclass.com/posts/152.
This video shows how challenging it can be when trying to adjust intonation when playing in a string quartet: https://youtu.be/Q7yMAAGeAS4 . Interestingly, the very beginning of that video talks about what TFA discussed that when you tune all your strings as perfect fifths your major thirds will be out of tune.
I'll also put in a plug for light note, an online music theory training tool that was mentioned on HN a decade ago: https://news.ycombinator.com/item?id=12792063 . I'm not related to the owner in any way, I just bought access a few years ago and think it was the first time I really understood Western music theory. The problem with music theory is that the notation is pretty fucked up because it includes all this historical baggage, and lots of music theory courses start with what we've got today and work backwards, while I think it's a lot easier to start with first principles about frequency ratios and go from there.
Other notes (pun intended!): The violin is great for learning music theory because you can actually see on the string how much you're subdividing it - go one third of the way, that's a perfect fifth, go halfway, that's an octave, etc. Harmonics (where you lightly touch a string) are also used all the time in violin repertoire. Finally, the article mentions Harry Patch, but you should also check out Ben Johnston, a composer who worked with Patch and was famous for using just intonation. Here is is Amazing Grace string quartet, and you can really hear the difference using just intonation: https://youtu.be/VJ8Bg9m5l50
Agree with this completely.
But besides Sam Altman, this whole episode has made me totally and completely lose all respect for Paul Graham. I used to really idolize pg, and I really used to like his essays, but over the years I've found his essays increasingly displayed a disturbing lack of introspection, like they'd always seem to say that starting a startup is the best thing anyone can do, and if you're not good at startups then you kind of suck.
But his continued support of Altman in this instance (see https://x.com/paulg/status/2027908286146875591, and the comment in that thread where he replies "yes") is just so extra disappointing and baffling. First, his big commendation for Altman is that he's doing an AMA? Give me an f'ing break. When someone is a great spin doctor I'm not going to commend them for doing more spinning. It's like he has total blinders on and is unwilling to see how sama's actions in this instance are so disgusting and duplicitous. Maybe subconsciously he knows he's responsible for really launching sama into the public consciousness, so he now just is incapable of seeing the undeniably shitty things sama has done.
Oh well, I guess it's just another tech leader from the late 90s/early 00s who has just shown me he's kind of a shitty person like a lot of us.