Hi Tomáš,

Thanks for your message.  Perhaps a slightly more informative 
description of the JT65 tone frequencies could be put into  the WSJT-X 
User Guide.

The second sentence of the section from which you quote advises the 
interested user to read the full detailed description of the protocol in 
a paper published in the ARRL journal QEX:
http://physics.princeton.edu/pulsar/K1JT/JT65.pdf

You will find the description you are looking for at the top of page 8.

Incidentally, the right-parenthesis in your expression

"1270.5 + (11025/4096) × (2 + N × m) Hz"

is misplaced.  Your formula should read

"1270.5 + (11025/4096) × (2 + N) × m Hz"

        -- 73, Joe, K1JT

On 4/8/2015 9:20 AM, Tomáš Klinkovský OK2TKB wrote:
> I would like to suggest a minor modification of the JT65 protocol
> description.
>
> The current documentation says: "Each channel symbol generates a tone at
> frequency 1275.8 + 2.6917 × N × m Hz". Actually the origin of these two
> magic constant 1275.8 and 2.6917 is not immediately clear. However, if we
> rewrite it as "1270.5 + (11025/4096) × (2 + N × m) Hz" it becomes evident
> that:
>
> - everything is derived from the synchronization frequency 1270.5 Hz
>
> - the frequency step is a rational number whose parts correspond to the
> value shown before (the symbol duration 4096/11025 seconds)
>
> - there is a single step hole between the synchronization frequency and the
> first symbol frequency.
>
> It is also not fully clear why the documentation speaks about the 1270.5 Hz
> synchronization frequency while the actual HAM traffic successfully uses
> various synchronization frequencies.
>
> Please understand me, the current documentation is not wrong. I am only
> describing my problems that occurred when I tried to reconstruct the encoder
> behaviour according to the documentation.
>
> Thanks for understanding.
>
> Tomáš
> OK2TKB

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