If I'm not mistaken that spiral is a representation of phi right? I wonder if we all are using base 10 math and the government/informed use base 8.. This is too close to not connect, music is math and math is music.  I guess its been in front of my eyes for a while i just didn't make the connection, ..natural half steps .. b&c and e&f i wonder how the Keeley scale  interprets those. further investigation i think will lead us to find that Keeley's math was influenced by using music as his base. 

Off topic Comment-  One of the Stargate series referenced base 8 once...Just throwing it out there. If anyone else has watched sg-1 since the beginning they will understand where I'm coming from with this, sometimes that show mentions things that become reality just a few years later.

G'day localjoe,

Actually I don't know what he used to create the spiral. The idea is to create a spiral that is identical to Keely's.

I am trying to find out exactly what algorithm Keely used to create his diatonic scale of which we have a photograph. We do know he used musical scales and harmonics.

Early days yet, but this is a big step in the right direction.

Hans von Lieven

Ah ha , i found a pic that supports that statement

I don't get it Joe,

This is just a circle of fifths arranged repetitively along a spiral. It doesn't make sense musically. I would like to know where you found this arrangement and what it is supposed to mean.

Hans von Lieven

Sorry that pic wasn't very descriptive , I was googling phi and musical scales in assorted combinations of those two and came up with a site that
http://www.aniwilliams.com/geometry_music_healing.htm which had that pic half way down, the Fibonacci ratios with the notes are discussed below, i just mentally blocked the metaphysical stuff and took the real info i derived from the tables, also http://goldennumber.net/music.htmshows more my point i guess was that if the 432 tuning standard is used phi lines up exactly as the fifth and that spiral of Keeley's was probably a perfect representation of phi id bet money on it. Visually you can see it you look at the golden spiral as its called its a spitting image of that cad drawing.