Talk:Archy5

Change edo

Change to an edo that supports archy.

! Rank 2 temperament 16_27 2_1.scl
! Created using Scale Workshop 3.1.0
!
! https://scaleworkshop.plainsound.org/scale/18ujONzPp
!
Rank 2 temperament (16\27, 2/1)
 5
!
 222.222222
 444.444444
 711.111111
 933.333333
 2/1

-- VectorGraphics (talk) 09:58, 13 November 2025 (UTC)

Yeah, 472edo is well beyond any edo that supports archy with a patent val (largest is 59), or even a generalized patent val (can't possibly have any beyond ~198). I think they chose it because 279\472 is close to the 2.3.7 POTE archy generator of 709.3213 ¢. The small meantone MOS scales all use 31edo by default, which makes much more sense.

In general, I don't really get why you'd want to use a super large EDO for a relatively inaccurate temperament; just use an exact optimized tuning then. It is much more intuitive that a major second and a minor third add up to a perfect fourth than "A major second is 86 steps, and a minor third is 107 steps, which add up to 193 steps, which is a perfect fourth". 193 steps isn't even the perfect fourth in 472edo; it's 196 steps.

As for the exact new tuning, 27edo is generally considered to be considerably sharp of an optimal tuning in the 2.3.7 subgroup, with POTE and CWE tunings being 709.3213 and 709.3901 cents respectively, which are both only slightly sharp of 22edo. It's titled as "Archy", so it should be based off of the 2.3.7 subgroup. --Overthink (talk) 02:20, 26 January 2026 (UTC)