49edo: Difference between revisions

The '''49 equal divisions of the octave''' ('''49edo'''), or the '''49(-tone) equal temperament''' ('''49tet''', '''49et''') when viewed from a [[regular temperament]] perspective, divides the [[octave]] into 49 [[equal]] parts of about 24.5 [[cent]]s each.

{{Primes in edo|49}}

(*) Based on 49edo's 11-limit patent val {{val|49 78 114 138 170}} mapping

!#\49

|13

|34

|21

Not until [[592edo|592]] do we find a better EDO in terms of relative error on these two intervals (but whose edo-steps upon which these intervals are mapped are not based on the Fibonacci sequence, unlike 49edo).

[https://www.youtube.com/watch?v=vZyAm-D3nlk&ab_channel=Sevish Sevish - Star Nursery] uses a scale based on [[acoustic phi]] and ϕ^{ϕ^-1}. 49edo provides a suitable approximation for this scale with the mode: 5 3 5 5 3 5 3 5

! rowspan="2" | Subgroup

! rowspan="2" | [[Comma list]]

! rowspan="2" | Optimal<br>8ve stretch (¢)

! colspan="2" | Tuning error

{| class="wikitable center-all left-3"

! Periods<br>per octave

| [[Hanson]] / [[catalan]]

| [[Archy]] / [[superpyth]]

| [[Sevond]]<br>[[Seville]]