Talk:Functional Just System

How to name a pythagorean interval

Implementing FJS naming is easy modulo getting to know names of pythagorean (3-limit) intervals. When I attempted to implement the latter, I ended up misnaming many intervals I picked for testing. I then went to see how the author of FJS solved that and came to this lovely function. That looks complicated, of a flavor “okay I can certainly walk this through, but what is the semantics of all these things?”. Though now, when seeing that the pythagorean d2 = [19 -12⟩ is descending, I think I understand what I have done wrong (at least I nailed P/M/m/A/d/AA/dd/… right! — but those are easy to see). But if you have a simpler, higher-level description of the naming schema, I would greatly appreciate that! --Arseniiv (talk) 22:52, 28 November 2020 (UTC)

I'm not sure is this is what you are asking for but remember that I was highly confused by this naming scheme. The letters are secondary but come first. Pi = Perfect interval, Mi = major interval, mi = minor interval, Ai = Augmented interval, di = diminished interval, AAi = double augmented interval, ddi = double diminished interval. The intervals i are just numbered 1=unison, 2=second, 3=third, 4=forth, etc. hope that helps --Xenwolf (talk) 23:58, 28 November 2020 (UTC)

I have to admit that I have issues with the FJS in terms of how it handles intervals in the 2.3.11 subgroup, which is part of why I'm going through the effort of naming these other intervals with the Alpharabian tuning. That said, I myself could use some help from anyone who was involved in the SHEFKHED naming system... --Aura (talk) 00:09, 29 November 2020 (UTC)