Functional Just System

The Functional Just System (FJS) is a logical notation system for the entirety of just intonation (JI) which claims to be both more coherent and more succinct than both Helmholtz-Ellis notation and Ben Johnston's notation.

Weblinks

• The FJS website
• Calculator

Quick reference

Formal commas

• 81/80
• 64/63
• 33/32
• 1053/1024
• 4131/4096
• 513/512
• 736/329
• 261/256
• 248/243

Prime harmonics

Overtone 1 through 32 starting with C:

C C G C E⁵ G Bb⁷ C

D E⁵ F¹¹ G Ab¹³ Bb⁷ B⁵ C

Db¹⁷ D Eb¹⁹ E⁵ F⁷ F¹¹ F#²³ G

G#²⁵ Ab¹³ A Bb⁷ Bb²⁹ B⁵ B³¹ C