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A '''26 tone well tempered nonet''' (26WTN) is related to well temperaments of [[22edo]] and [[23edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF|division of the just perfect fifth]] into 13 equal parts (13EDF) with sequences of thirteen equal steps of 46.15385 to 61.5385 cents each. This will create thirteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.
A '''26 tone well tempered nonet''' (26WTN) is related to well temperaments of [[22edo]] and [[23edo]], but with a nonet rather than the 2/1 being constant. Its patent tunings optimally alternate [[EDF|division of the just perfect fifth]] into 13 equal parts (13EDF) with sequences of thirteen equal steps of 46.15385 to 61.5385 cents each. This will create thirteen equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth.  


==Optimal Intervals==
==Patent Intervals==
{| class="wikitable"
{| class="wikitable"
|+
|+
Line 7: Line 7:
!Target a
!Target a
!Target b
!Target b
!Alternating [[edo]] and *ed(9/8) a
!Alternating edo and *ed(9/8) b
|-
|-
!1
!1
! colspan="2" |53.9965
! colspan="2" |53.9965
|54.54545
|52.1739
|-
|-
!2
!2
! colspan="2" |107.9931
! colspan="2" |107.9931
|109.0909
|104.3478
|-
|-
!3
!3
! colspan="2" |161.9896
! colspan="2" |161.9896
|163.6364
|156.5217
|-
|-
!4
!4
! colspan="2" |215.9862
! colspan="2" |215.9862
|218.1818
|208.6957
|-
|-
!5
!5
! colspan="2" |269.9827
! colspan="2" |269.9827
|272.7273
|260.8696
|-
|-
!6
!6
! colspan="2" |323.9792
! colspan="2" |323.9792
|327.2727
|313.0435
|-
|-
!7
!7
! colspan="2" |377.9758
! colspan="2" |377.9758
|381.8182
|365.2174
|-
|-
!8
!8
! colspan="2" |431.9723
! colspan="2" |431.9723
|436.3636
|417.3913
|-
|-
!9
!9
! colspan="2" |485.9688
! colspan="2" |485.9688
|490.9091
|469.5652
|-
|-
!10
!10
! colspan="2" |539.9654
! colspan="2" |539.9654
|545.45455
|521.7391
|-
|-
!11
!11
! colspan="2" |593.9619
! colspan="2" |593.9619
|600.000
|573.913
|-
|-
!12
!12
! colspan="2" |647.9585
! colspan="2" |647.9585
|654.54545
|626.087
|-
|-
!13
!13
! colspan="2" |701.9550
! colspan="2" |701.9550
|709.0909
|678.2609
|-
|-
|14
|14
|757.2933
|757.2933
|751.7595
|751.7595
|763.6364
|730.4348
|-
|-
|15
|15
|812.6317
|812.6317
|801.564
|801.564
|818.1818
|782.6087
|-
|-
|16
|16
|867.97
|867.97
|851.3685
|851.3685
|872.7273
|834.7826
|-
|-
|17
|17
|923.3083
|923.3083
|901.173
|901.173
|927.2727
|886.9565
|-
|-
|18
|18
|978.6467
|978.6467
|950.9775
|950.9775
|981.8182
|939.1304
|-
|-
|19
|19
|1033.985
|1033.985
|1000.782
|1000.782
|1036.364
|991.3043
|-
|-
|20
|20
|1089.3233
|1089.3233
|1050.6865
|1050.6865
|1090.9091
|1043.4783
|-
|-
|21
|21
|1144.6617
|1144.6617
|1100.391
|1100.391
|1145.45455
|1095.6522
|-
|-
|22
|22
|1200
|1200
|1150.1955
|1150.1955
|1200.000
|1147.8261
|-
|-
|23
|23
|1255.3383
|1255.3383
|1200
|1200
|1250.9775
|1200.000
|-
|-
|24
|24
|1310.6767
|1310.6767
|1249.8045
|1249.8045
|1301.955
|1267.97
|-
|-
|25
|25
|1366.015
|1366.015
|1299.609
|1299.609
|1352.9325
|1333.94
|-
|-
|26
|26
|1421.3533
|1421.3533
|1349.4135
|1349.4135
! colspan="2" |1403.91
|}
|}
[[Category:Well tempered nonet]]
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