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Re:LLM Tech and a Lot More: Version 13.3 of Wolfram Language... by golol on Friday June 30, 2023 @02:15AM (#36531170)
While "perfect third" may not exist as a name for an interval, it does make sense to apply the adjective "perfect" to the interval "third" in order to distinguish a just intonation third (4/5) from a well-tempered intonation third (1/2)^(4/12).
Re:LLM Tech and a Lot More: Version 13.3 of Wolfram Language... by bandrami on Friday June 30, 2023 @02:30AM (#36531265)
You can construct a system under which the phrase makes sense but musicians and musicologists will look at you weird if you say it. The LLM just forges bravely on, however.
Re:LLM Tech and a Lot More: Version 13.3 of Wolfram Language... by perihelions on Friday June 30, 2023 @03:20AM (#36531606)
Example usage here,

https://archive.org/details/onsensationston01helmgoog/page/3...

(by Helmholtz of Helmholtz Equation)

Re:LLM Tech and a Lot More: Version 13.3 of Wolfram Language... by ipsum2 on Saturday July 01, 2023 @02:31AM (#36547279)
I'm very impressed that you were able to find this.
Re:LLM Tech and a Lot More: Version 13.3 of Wolfram Language... by Aardwolf on Friday June 30, 2023 @05:41AM (#36532425)
> (1/2)^(4/12)

Not a single one of those numbers is 3 like "third" sounds like. Or is the 4/12 == 1/3 the actual numeric connection here?

Still doesn't explain why a doubling of frequency (2) is called an octave (8, which isn't even the correct value for neither the 7 major notes nor the 12 notes) though.