The Pythagorean Tetractys, or how to build all of music with only the numbers 2 and 3

The Pythagorean Tetractys, or how multiplying by 2 & 3 gets you all the notes you need, with stops at the Pythagorean Comma and Equal Temperament along the way. Like my previous post, a deep rabbit hole, but — to me at least — a very rewarding one.

(Originally posted as part of #100daysofpractice 2023)

This entry was posted in Music. Bookmark the permalink.

2 Responses to The Pythagorean Tetractys, or how to build all of music with only the numbers 2 and 3

  1. Matt says:

    Fascinating! The Pythagorean sequence sounds like “stretch tuning.” Do human tuners and/or electronic keyboards incorporate to some degree the enharmonic discrepancy you’ve demonstrated?

Leave a Reply

Your email address will not be published.