Why are F-sharp and G-flat two different notes?

This episode includes an excerpt of Miles Okazaki’s video on tuning a guitar using harmonics.

It also includes synthesized versions of three excerpts of pieces by JS Bach, which I tempo-mapped to the following recordings:

Glenn Gould - Goldberg Variations BWV 988 - Aria (1741)

Glenn Gould - Sinfonia No. 9 in F Minor, BWV 795 (1723)

Angela Hewitt - The Art of Fugue, BWV 1080: Contrapunctus I

Other music in this episode:

Kronos Quartet - Ben Johnston: String Quartet No. 4 "Amazing Grace" (1973)

The Hilliard Ensemble - Tallis: The Lamentations of Jeremiah I. Incipit lamentatio (c. 1560)

Golden Gate Quartet - "Swing Down, Chariot" (1946)

Tim Eriksen - "John Colby's Hymn" (2004)

Ayan Ool-Sam - "Alash" (2006)

Winne Clement - "Fujara" (2015)

Underworld - "Rez" (1994)

Wordcolour - "Fundamentals" (2023)

I used MTS-ESP for all of the tuning. It’s an amazing plugin.

Read more about the relationship between the harmonic series and just intonation.

Listen to my episode about the possible just intonation origins of blues harmony: