This discussion with attached source code and patent documents might help
answer your question in detail:

https://www.vcfed.org/forum/forum/genres/tandy-radio-shack/57410-story-behind-1500-baud-decisions

Jerry

On Tue, May 25, 2021, 9:42 PM Douglas Quagliana <[email protected]>
wrote:

> The official specs that I found for the cassette port say that it runs at
> 1500 bps, but the bits are sent as a single 1200 Hz cycle or a single 2400
> Hz cycle so the length of a single bit varies depending on whether it is a
> one or a zero.
>
> If you assumed an average density of ones and zeroes then the bit rate
> would be the average or 1800bps, and if you said the user only "gets" eight
> bits for every nine saved to tape then you would have 8/9th of 1800bps
> which would be 1600, hmmm... that doesnt work out to 1500 either.
>
> So, how do you get 1500bps as the cassette data rate specification?
>
> Douglas
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