User:Moremajorthanmajor/22wtn: Difference between revisions

A '''22 tone well tempered nonet''' (22WTN) is related to well temperaments of [[18edo]] and [[19edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings alternate [[EDF|division of the just perfect fifth]] into 11 equal parts (11EDF) with sequences of eleven equal steps of 54.54545 to 72.7273 cents each. This will create eleven equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.

==Optimal Intervals==

!Target Minimum a

!Target Maximum a

!Target Minimum b

!Target Maximum b

!1

! colspan="4" |63.8141

!2

! colspan="4" |127.6282

!3

! colspan="4" |191.4423

!4

! colspan="4" |255.2564

!5

! colspan="4" |319.07045

!6

! colspan="4" |382.88455

!7

! colspan="4" |446.6986

!8

! colspan="4" |510.5127

!9

! colspan="4" |574.3268

!10

! colspan="4" |638.1409

!11

! colspan="4" |701.955

!12

! colspan="2" |773.104

! colspan="2" |764.511

!13

! colspan="2" |844.253

! colspan="2" |826.0675

!14

! colspan="2" |915.403

! colspan="2" |888.722

!15

! colspan="2" |986.552

! colspan="2" |950.9775

!16

! colspan="2" |1057.701

! colspan="2" |1012.233

!17

! colspan="2" |1128.896

! colspan="2" |1075.489

!18

! colspan="2" |1200

! colspan="2" |1137.744

|1254.54545

|1272.7273

! colspan="2" |1200

|1309.0909

|1345.45455

|1254.54545

|1272.7273

|1363.6364

|1418.1818

|1309.0909

|1345.45455

|1418.1818

|1490.9091

|1363.6364