Talk:Arithmetic tuning
Proposed changes
First, I propose freeing the word arithmetic in the sense of arithmetic-like, and thereby changing:
- Arithmetic tuning to arithmetic-like tuning;
- AFS to EFS (equal frequency sequence), and alternatively as I much prefer, arithmetic sequence, in which case arithmetic means equal frequency;
- ALS to ELS (equal length sequence), and alternatively as I much prefer, inverse-arithmetic sequence, in which case inverse-arithmetic means equal length.
I don't see a reason why AFS and ALS shouldn't follow the naming convention of EFD and ELD.
Second, I don't believe most of these concepts need "specifications", or at least their use should be discouraged due to the lack of orthogonality. Iow one specification is often encompassed by another, and specifying a tuning system in these ways can be confusing.
For example, AS25/24 is equivalent to 1ed25/24. It's good to keep these concepts and good to know 1ed25/24 is an equal multiplication or ambitonal sequence (in fact they can be defined as 1ed-p), but 1ed25/24 should be its standard identifier.
Similarly, otonal division holds well as a concept, but n-od-p isn't a great way to specify it. It should be specified as n-efd-p i.e. n-ad-p (and mode 12 since that's a distinct naming system). Consider also we've agreed that EFD is now intended to be a generic term and not reserved for irrational tunings.