Robert Gordon's 7 days - perfecting the solution

A couple things have bothered me about the most recent iteration of my journey in discovering RG's journey:

1. 21 or 22 stops on the trip - RG stopped in 21 cities and compared to 3 consecutive diatonic octaves you would have 22 notes.  8 notes X 3 minus two do's that are shared between octaves.  22 notes defines a scale (0) octave (according to Russell Smith's notation in Cosmic Secrets) and 3 inner octaves of scale (1). 22 notes.  Gann needed to give us one more city.

2. Calculated distance of the trip versus Pythagoras distance - The hypotenuse of distances traveled was 32,242 miles while the Law of Haversine computes 33,298 miles (as does MapCrow). That's not a big difference, but I suspect Mr. Gann was more attuned to exactness than that level of gap.  

3. 21 or 22 notes on the diatonic scale - RG left from New York City and the beginning of the octave would therefore be DO at 0.  Since he was traveling 33,298 miles, define the scale (0) octave as 0 to 32,768 (2^15).  I previously found that at a computed hypotenuse of  32,242 miles, RG returned to NYC at SI-SI-Si-si….short of DO-DO-Do-do.  That was not poetically pleasing to me so, if Mr. Gann were orchestrating this as I expect, he wouldn't let that occur. 

So, at the prompting of Dan B. I re read the trip and took a second look at RG’s stop at the Dardanelles to destroy ships on the Black Sea.  When I defined the Dardanelles as the 22^nd stop on RG’s trip, lo and behold all of the criticisms above disappeared.  Here is the newest iteration of the spreadsheet:

Obviously, there are now 22 stops defined in the trip which perfectly defines the number of notes of the first level of diatonic notes.

The haversin and MapCrow distance of the trip expanded to 33,542 miles but the Pythagoras theorem computed hypotenuse of the trip expanded to 33,630….incredibly close.  This cannot be chance….this is the master Gann teaching those who are dedicated.  See the yellow highlighted cells of the worksheet.

And the diatonic tone of 33,600 miles on a diatonic scale of 32,768….it is well within the range such that Robert began his trip at DO and ended his trip at DO….not SI.  See the blue highlighted cells of the spreadsheet.

Mr. Gann dotted every ‘i’ and crossed every ‘t’.  That’s exactly how I’d do it were I endowed with such unspeakable genius of Mr. Gann.  

I now have happy ending.  But every ending in an octave is a beginning,

Jim