User:Eufalesio/Proposal to the Functional Just System: Difference between revisions
Created page with "== Preamble == The Functional Just system is one of a kind. On the three systems of strict JI notation that I know: It, Johnson's system, and Helmholtz-Ellis; FJS is in my opinion, the most rigorous. It has been generalized to such an extent that it can provide a unique nomenclature to '''every single''' rational interval. Besides of course 0 and infinity. Its rigor, comes however with some unintuitive consequences, specially regarding the unintended consequences of a..." |
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Particularly in the case that one composer might want to write using FJS, and is accustomed to writing the augmented sixth from Ab as F#, and coming from experience in meantone temperaments (including the well-established 12EDO), ''feels'' that the interval 7/4 from Ab should be spelt Ab-F# because it will resolve to G, not Ab-Gb as the correct FJS might proscribe, leading to the possibly good sounding, but unintuitively written movement Ab4<sub>5</sub>,C5,Eb5<sub>5</sub>,Gb5<sup>7</sup><sub>5</sub> - G4,C5,E5<sup>5</sup>,G5. It is not a matter of correctness, but rather a matter of understanding and intuiting, both what the composer wants to write, and what the reader understands. | Particularly in the case that one composer might want to write using FJS, and is accustomed to writing the augmented sixth from Ab as F#, and coming from experience in meantone temperaments (including the well-established 12EDO), ''feels'' that the interval 7/4 from Ab should be spelt Ab-F# because it will resolve to G, not Ab-Gb as the correct FJS might proscribe, leading to the possibly good sounding, but unintuitively written movement Ab4<sub>5</sub>,C5,Eb5<sub>5</sub>,Gb5<sup>7</sup><sub>5</sub> - G4,C5,E5<sup>5</sup>,G5. It is not a matter of correctness, but rather a matter of understanding and intuiting, both what the composer wants to write, and what the reader understands. | ||
In my own experience, I feel that the interval 7/4 is ambivalent enough to serve as both a consonance like the major third, a type of minor seventh that might resolve down following a V<sup>7</sup> - I perfect cadence, or a type of augmented sixth that resolves up. Being able to both describe 7/4 as a minor seventh and an augmented sixth is a very useful ability for a JI notation system, even if it is not entirely rigorous. | |||
== Introduction of the pythagorean comma as an optional formal comma == | == Introduction of the pythagorean comma as an optional formal comma == | ||