Tides (from 2022) freq. ratios?

I could hook up a frequency counter, but I thought I would just ask :slight_smile:

What are the frequency ratios set by the frequency knob? Are they static, stepped, continuously variable?

From the Tides manual:

" 3. Clock input for tempo or frequency-locked operation. When this input is patched, the FREQUENCY knob controls the ratio between the frequency of the signal sent to this input, and the frequency of the signals generated by Tides."

These ratios are:

1⁄16 ; 1⁄12 ; 1⁄8 ; 1⁄6 ; 1⁄4 ; 1⁄3 ; 1⁄2 ; 3⁄5 ; 2⁄3 ; 3⁄4 ; 4⁄5

1

5⁄4 ; 4⁄3 ; 3⁄2 ; 5⁄3 ; 2 ; 3 ; 4 ; 5 ; 6 ; 8 ; 12 : 16

Can’t be!

https://www.proofwiki.org/wiki/Between_two_Rational_Numbers_exists_Irrational_Number

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