Functional Just System

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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

Quick reference

Formal commas

Formal commas below 32-limit
Prime	Formal Comma
5	81/80
7	64/63
11	33/32
13	1053/1024
17	4131/4096
19	513/512
23	736/729
29	261/256
31	248/243

Harmonic series

Overtones 1–32 with root C
1–8	C	C	G	C	E⁵	G	Bb⁷	C
9–16	D	E⁵	F¹¹	G	Ab¹³	Bb⁷	B⁵	C
17–24	Db¹⁷	D	Eb¹⁹	E⁵	F⁷	F¹¹	F#²³	G
25–32	G#²⁵	Ab¹³	A	Bb⁷	Bb²⁹	B⁵	B³¹	C

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