Functional Just System: Difference between revisions
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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 [[ | 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, Ab, 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.”''<ref>[https://misotanni.github.io/fjs/en/rules.html The Complete Formal FJS Description]</ref>) | The Functional Just System can be seen as an extension of the Pythagorean system: the base name of a note (G, D, Ab, 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.”''<ref>[https://misotanni.github.io/fjs/en/rules.html The Complete Formal FJS Description]</ref>) | ||
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=== Formal commas === | === Formal commas === | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+Formal commas below 32-limit | |+ Formal commas below 32-limit | ||
! Prime | ! Prime | ||
! Formal Comma | ! Formal Comma | ||
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=== Harmonic series === | === Harmonic series === | ||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+Overtones | |+ Overtones 1–32 with root C | ||
! 1–8 | ! 1–8 | ||
| C | | C | ||