Helmholtz-Ellis notation

From Xenharmonic Wiki
(Redirected from HEJI)
Jump to: navigation, search

Introductory materials

Helmholtz-Ellis glyphs

Todo: update the 29-limit comma.

Quick reference

Formal commas

Formal commas below 32-limit
Prime Formal Comma
5 81/80
7 64/63
11 33/32
13 27/26
17 2187/2176
19 513/512
23 736/729
29 261/256
31 32/31

Prime harmonics

Prime Just Ratio Notation (assuming 1/1 is C) Comments
2020 version 2004 version
1 1/1 HejiC.svg HejiC.svg Default staff notation represents Pythagorean tuning
3 3/2 HejiG.svg HejiG.svg Default staff notation represents Pythagorean tuning
5 5/4 Heji17.svgHejiE.svg Heji17.svgHejiE.svg
7 7/4 Heji37.svgHeji11.svgHejiB.svg Heji37.svgHeji11.svgHejiB.svg
11 11/8 Heji41.svgHejiF.svg Heji41.svgHejiF.svg
13 13/8 Heji42.svgHejiA.svg Heji42.svgHejiA.svg
17 17/16 Heji44.svgHeji25.svgHejiC.svg Heji44.svgHeji12.svgHejiD.svg Definition of the accidental is revised from 256/255 to 2187/2176
in the 2020 version by Plainsound Music Edition
19 19/16 Heji47.svgHeji11.svgHejiE.svg Heji47.svgHeji11.svgHejiE.svg
23 23/16 Heji49.svgHeji25.svgHejiF.svg Heji49.svgHeji25.svgHejiF.svg
29 29/16 Heji51.svgHeji12.svgHejiB.svg Definition of the accidental is revised from 145/144 to 261/256
in the 2020 version by Plainsound Music Edition
31 31/16 Heji52.svgHejiC.svg Definition of the accidental is revised from 1024/1023 to 32/31
in the 2020 version by Plainsound Music Edition

External links

See also