Got a link to his method? What you wrote just doesn't work:
So all fourths and all fifths beat at this rate. So the fifths in the sequence increase in size as they ascend.
If the 5th increase in size as they ascend (thereby staying at the same rate) the 4ths must also increase in size (thereby beating faster and faster). Therefore all the 4ths and 5ths would not beat at the same rate.
I have probably misrepresented it.
Jeff, I haven't tried a complete tuning of it just a scale and oct each side.
I learned about it from a lecture by Dr. A. Leigh Silver around 1964. I have a hard copy, no idea where it would exist in the cloud unfortunately. Published by the Institute of Musical Instrument Technology. This institute was a brilliant source of interesting lectures and publishings in those days.
This particular lecture is quite hard going with alot of diagrams so hard to talk about in depth here. There are gamograms etc.
The fifths in sequence increase in size as they ascend from 699.3 to 700.6 cents.
Maybe there's more info connected to Feaster as mentioned by Peter.
Unless there's something on the net relating to Acoustic Society of America? Where he published a full account in 1957, which I haven't read.