# Does circle division by chords have anything to do with actual chords of music.

I do not have much background in music or linear algebra or group theory. I am just trying to delve deeper.

I came across the answer on circle division by chords over here. The series is intriguing in its own right. It goes like...

``````1, 2, 4, 8, 16, 31, 57, 99, 163, 256, ...
``````

where 256 is the last power of 2. This pattern can be understood in terms of pascal's rule/triangle.

``````(n) + (n) + (n) = (n−1) + (n−1) + (n−1) + (n−1) + (n−1).
0     2     4      0       1       2       3       4
``````

Could possibly music theory have anything remotely close to it?

• I'm not sure why you would think that the term chord as used by geometers has anything to do with the term chord as used by musicians. The two terms have different etymologies. The geometry term comes from the Latin word chorda for bowstring, and the music term comes from the English word cord, a shortening of accord.
– user39614
Commented Mar 31, 2018 at 6:18
• @DavidBowling Guess that is an answer already. Just place a "no" in front :) Commented Mar 31, 2018 at 6:22
• Adding to David's - a geometrical chord joins two points, a musical chord needs three notes (although some believe two is sufficient). 'Accord' is a sort of blending.Odd that the Latin also meant a string. On which a chord cannot be played... Unless it gets stretched out to a string of notes... The English language has been bastardised over many centuries, and meanings lost in the mist of time. No real connection here - only spurious ones!
– Tim
Commented Mar 31, 2018 at 6:23
• You may want to consider checking out A Geometry of Music by Dmitri Tymoczko. Commented Mar 31, 2018 at 11:49
• @topomorto -- I wasn't sure that my earlier comment really qualified as a complete answer, but I have tried to expand it to one.
– user39614
Commented Mar 31, 2018 at 13:35