View source for User:Moremajorthanmajor/23wtn

A '''23 tone well tempered nonet''' (23WTN) is related to well temperaments of [[18edo|19edo]] and [[20edo]], but with a nonet rather than the 2/1 being constant. It is also the smallest wtn with both possible patent tunings well tempering an equal division of a “pure” ~20/9 to ~16/7 nonet

== Patent Intervals ==
{| class="wikitable"
|+
!
!Alternating [[edo]] and *ed(9/8) a
!Alternating edo and *ed(9/8) b
|-
|1
|63.1579
|60
|-
|2
|126.3157
|120
|-
|3
|189.4737
|180
|-
|4
|252.6316
|240
|-
|5
|315.7895
|300
|-
|6
|378.9474
|360
|-
|7
|442.1053
|420
|-
|8
|505.2632
|480
|-
|9
|568.42105
|540
|-
|10
|631.57895
|600
|-
|11
|694.7368
|660
|-
|12
|757.8947
|720
|-
|13
|821.0526
|780
|-
|14
|884.2105
|840
|-
|15
|947.3684
|900
|-
|16
|1010.5263
|960
|-
|17
|1073.6843
|1020
|-
|18
|1136.8421
|1080
|-
|19
|1200.000
|1140
|-
|20
|1250.9775
|1200.000
|-
|21
|1301.955
|1267.97
|-
|22
|1352.9325
|1333.94
|-
|23
! colspan="2" |1403.91
|}
[[Category:Well tempered nonet]]
[[Category:19edo]]
[[Category:20edo]]