Functional Just System: Difference between revisions
Jump to navigation
Jump to search
ArrowHead294 (talk | contribs) No edit summary |
m {{Notation navbox}} |
||
| Line 93: | Line 93: | ||
| C | | C | ||
|} | |} | ||
{{Notation navbox}} | |||
[[Category:Notation]] | [[Category:Notation]] | ||
[[Category:Just intonation]] | [[Category:Just intonation]] | ||
Revision as of 23:17, 2 December 2024
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.
The Functional Just System can be seen as an extension of the Pythagorean system: the base name of a note (G, D, A♭, etc.) or interval (P5, M2, m6) is calculated by a fifth distance superscript or subscript numbers are added to mark the deviation from the pythagorean base. The chain of fifths used is controlled by a threshold value (or "radius of tolerance") that is λ = 65/63 by default (in “The radius of tolerance is a constant, by definition equal to 65/63.”[1])
Weblinks
- The FJS website
- Calculator
- Custom FJS Explorer
- misotanni [old] - YouTube – (abandoned channel)
Quick reference
Formal commas
| Prime | Formal Comma |
|---|---|
| 5 | 80/81 |
| 7 | 63/64 |
| 11 | 33/32 |
| 13 | 1053/1024 |
| 17 | 4131/4096 |
| 19 | 513/512 |
| 23 | 736/729 |
| 29 | 261/256 |
| 31 | 248/243 |
Harmonic series
| 1–8 | C | C | G | C | E5 | G | B♭7 | C |
|---|---|---|---|---|---|---|---|---|
| 9–16 | D | E5 | F11 | G | A♭13 | B♭7 | B5 | C |
| 17–24 | D♭17 | D | E♭19 | E5 | F7 | F11 | F♯23 | G |
| 25–32 | G♯25 | A♭13 | A | B♭7 | B♭29 | B5 | B31 | C |