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why were 78 rpm records recorded at 78 rpm anyway, why not a round number like 80 or something?
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looking it up all we can find is that the actual official standard (which most records deviated from because it was standardized after they were already in production) was 78.26 rpm for the simple reason that that was the speed a common 3600 rpm motor (the speed of a synchronous motor on 60 Hz AC) would give you with a cheap and common 46:1 gearing

but they could have gotten an even 80 if they'd just used a 45:1 gearing so why didn't they
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@Felthry Wikipedia seems to suggest that RPMs were originally all over the place, but approximately-78 got chosen because speeds were calibrated with stroboscopic discs: en.wikipedia.org/wiki/Phonogra

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@Felthry Hand-cranked records of time found around 70-80 rpm made for decent fidelity. When records got standardized there was a common 3600 rpm motor on the market, and a 46:1 gear that was common, and that gives you 78.26 rpm and there, that's a standard.

I don't know how 33 1/3 got picked for the next speed, but suppose there was some similar common motor/gearing pair available.

@Austin_Dern it'd be a 108:1 gearing on a similar synchronous motor to get 33⅓ exactly

and 108 is conveniently easy to break down into multiple gear stages, you could even go five stages with 2:1, 2:1, 3:1, 3:1, 3:1 though i imagine something like 9:1, 12:1 or 3:1, 36:1 would have been more likely if they did that
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@Felthry Very plausible, yeah.

45's, that got picked because the RCA engineers were told to do anything as long as it wasn't compatible with 33.

@Austin_Dern it also turns out that a simple 80:1 gearing gets you 45 rpm from a 60 Hz synchronous motor
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@Austin_Dern oh 33⅓ also works out nicely at 50 Hz, since the same motor on 50 Hz power would give you 3000 rpm, and you can gear that down to 33⅓ rpm with a 90:1 gearing
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@Felthry Yeah, there's some little differences you get between 50 Hz and 60 Hz power supplies and now I wonder if listeners in different electrical zones just got used to songs sounding a tiny bit different. The way that there (used to?) be a little PAL speedup to US-made TV shows.

There's shows I watched in Singapore with theme songs that just sound *sluggish* when I hear them now.

@Austin_Dern synchronous motors are only able to run at integer fractions of the supply frequency, so at 50 Hz you get 3000 RPM on a two-pole motor, or 1500 on a four-pole machine, or 1000 on a six-pole one...

and at 60 Hz you get 3600, 1800, 1200, 900, and so on
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@Austin_Dern to control the speed of a synchronous motor, you have to change the frequency of the supply voltage, which certainly can't be done with 1940s tech though it's easy today

other types of motor don't work for this because their speed is variable; induction motors and DC motors both slow down when they have more load on them and you can't control the load
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@Felthry Yeah, there'd really be no practical way to make a 'universal' record player that kept to a constant speed, not unless you also swapped out a gear inside. Probably easier to just accept stuff sounds a little different on different sides of the Atlantic.

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