I do NOT know much about music......other than listening to it...........but if the length of the string...whatever is one.......the fractions are OVER tones.......so the fundamental has to be present..........or so it seems to me...................

Partial sums[edit]

The first thirty harmonic numbers[show]

The nth partial sum of the diverging harmonic series,

is called the nth harmonic number.

The difference between H_n and ln n converges to the Euler–Mascheroni constant. The difference between any two harmonic numbers is never an integer. No harmonic numbers are integers, except for H₁ = 1.^[10]

Related series[edit]

Alternating harmonic series[edit]

The first fourteen partial sums of the alternating harmonic series (black line segments) shown converging to the natural logarithm of 2 (red line).

The series

is known as the alternating harmonic series. This series converges by the alternating series test. In particular, the sum is equal to the natural logarithm of 2:

This formula is a special case of the Mercator series, the Taylor series for the natural logarithm. A proof without words that the sum is ln 2 was shown by Matt Hudelson.^[11]

I am not sure either way.........but i think the harmonic series holds the key....................also notice........that ..........my prime number fundamental...............2, 3, 5, 7, 11...............there are 5 numbers.................if u add the digits........there are 6 of them...........

Mersenne Prime Discovery - 2^74207281-1 is Prime!

https://www.mersenne.org/primes/?press=M74207281

 

RALEIGH, North Carolina -- On January 7th at 22:30 UTC, the Great Internet Mersenne Prime Search (GIMPS) celebrated its 20th anniversary with the math discovery of the new largest known prime number, 2^74,207,281-1, having 22,338,618 digits, on a university computer volunteered by Curtis Cooper for the project.

Largest known prime number discovered in Missouri - BBC News

www.bbc.com/news/technology-35361090

 

Jan 20, 2016 - The largest known prime number is discovered by a computer at a university in Missouri in the US.

The Largest known prime number - University of Utah Math Department

https://www.math.utah.edu/~pa/math/largeprime.html

is the largest known prime number (as of the time of this writing, May 23, 2003). In the decimal system it requires 4,053,946 digits to be written fully. Most of this ...

Largest known prime number discovered; has 17,425,170 digits ...

https://www.sciencedaily.com/releases/2013/02/130213225424.htm

 

Feb 13, 2013 - On Jan. 25, the largest known prime number, 2 57885161 -1, was discovered on Great Internet Mersenne Prime Search (GIMPS) volunteer ...