User:Moremajorthanmajor/20wtn: Difference between revisions

A '''20 tone well tempered nonet''' (20WTN) is related to well temperaments of [[17edo]] and [[18edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings alternate [[EDF|division of the just perfect fifth]] into 10 equal parts (10EDF) with sequences of ten equal steps of 60 to 80 cents each. This will create ten equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

== Optimal Intervals ==

!Target Minimum a

!Target Maximum a

!1

! colspan="4" |70.1955

!2

! colspan="4" |140.391

!3

! colspan="4" |210.5865

!4

! colspan="4" |280.782

!5

! colspan="4" |350.9775

!6

! colspan="4" |421.173

!7

! colspan="4" |491.3685

!8

! colspan="4" |561.564

!9

! colspan="4" |631.7595

!10

! colspan="4" |701.955

!11

! colspan="2" |773.104

! colspan="2" |764.511

!12

! colspan="2" |844.253

! colspan="2" |826.0675

!13

! colspan="2" |915.403

! colspan="2" |888.722

!14

! colspan="2" |986.552

! colspan="2" |950.9775

!15

! colspan="2" |1057.701

! colspan="2" |1012.233

!16

! colspan="2" |1128.896

! colspan="2" |1075.489

!17

|1260

|1280

|1320

|1360

|1380

|1440