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'''16WTN''' is the equal division of the fifth into 8 steps of 87.7444 [[cent]]s each, alternated with a sequence of eight equal steps of another interval between 75 and 100 cents making its best tunings very nearly [[88cET]]. Its best tunings are related to the [[Tetracot family|octacot temperament]].
'''16WTN''' is optimally the equal division of the fifth into 8 steps of 87.7444 [[cent]]s each, alternated with a sequence of eight equal steps of another interval between 75 and 100 cents in its patent tunings making its best tunings very nearly [[88cET]].


== Intervals ==
== Patent Intervals ==
The best tunings of 16WTN can be interpreted as tunings for the Natural and Harmonic Minor modes of Annapolis[6L 4s]. For the notation of these modes, Greek numerals 1-10 can be used (Α,Β,Γ,Δ,Ε,Ϛ/Ϝ,Ζ,Η,Θ,Ι [J]).
The best tunings of 16WTN can be interpreted as tunings for the Natural and Harmonic Minor modes of Annapolis[6L 4s]. For the notation of these modes, Greek numerals 1-10 can be used (Α,Β,Γ,Δ,Ε,Ϛ/Ϝ,Ζ,Η,Θ,Ι [J]).
{| class="wikitable"
{| class="wikitable"
|+
|+
!
!
!''“fifth” 2 = 600¢''
!Target a
!“nonet” = 1351.429¢
!Target b
!“nonet” = 1460¢
!Alternating [[EDO|edo]] and *ed(9/8) a
!''“fifth” 2 = 800¢''
!Alternating edo and *ed(9/8) b
|-
!1
! colspan="4" |87.7444
|-
!2
! colspan="4" |175.48875
|-
!3
! colspan="4" |263.2331
|-
!4
! colspan="4" |350.9775
|-
!5
! colspan="4" |438.7219
|-
!6
! colspan="4" |526.46625
|-
!7
! colspan="4" |614.2106
|-
!'''8'''
! colspan="4" |'''701.955'''
|-
|9
|''776.955''
|783.1392
|796.7106
|''801.955''
|-
|10
|''851.955''
|864.3234
|891.46625
|''901.955''
|-
|11
|''925.955''
|945.5076
|986.2219
|''1001.955''
|-
|12
|''1001.955''
|1026.692
|1080.9775
|''1101.955''
|-
|13
|''1076.955''
|1107.876
|1175.7331
|''1201.955''
|-
|14
|''1151.955''
|1189.0602
|1270.48875
|''1301.955''
|-
|15
|''1225.955''
|1270.2444
|1365.2444
|''1401.955''
|-
|16
|''1301.955''
|1351.4286
|1460
|''1501.955''
|}
 
== Common Tunings ==
{| class="wikitable"
|+
!
!Fifth 2 = 4\7
!step 2 = 88¢
!Fifth 2 = 8\13
!Annapolis[6L 4s]
!Annapolis[6L 4s]
|-
|-
!1
|1
! colspan="3" |87.7444
! colspan="2" |87.7444
|92.3077
|85.7143
|Α#
|Α#
|-
|-
!2
|2
! colspan="3" |175.48875
! colspan="2" |175.48875
|184.6154
|171.4286
|Β
|Β
|-
|-
!3
|3
! colspan="3" |263.2331
! colspan="2" |263.2331
|276.9231
|257.1429
|Γ
|Γ
|-
|-
!4
|4
! colspan="3" |350.9775
! colspan="2" |350.9775
|369.2308
|342.8571
|Γ#
|Γ#
|-
|-
!5
|5
! colspan="3" |438.7219
! colspan="2" |438.7219
|461.5385
|428.5714
|Δ
|Δ
|-
|-
!6
|6
! colspan="3" |526.46625
! colspan="2" |526.46625
|553.84615
|51<span style="line-height: 1.5;">4.2857</span>
|Δ#
|Δ#
|-
|-
!7
|7
! colspan="3" |614.2106
! colspan="2" |614.2106
|646.15385
|600.000
|Ε
|Ε
|-
|-
!'''8'''
|'''8'''
! colspan="3" |'''701.955'''
! colspan="2" |'''701.955'''
|738.4615
|685.7143
|'''Ϛ/Ϝ'''
|'''Ϛ/Ϝ'''
|-
|-
|9
|9
|787.6692
|801.564
|789.955
|784.9625
|794.263
|830.7692
|771.4286
|Ϛ#/Ϝ#
|Ϛ#/Ϝ#
|-
|-
|10
|10
|873.3835
|901.173
|877.955
|867.97
|886.57
|923.0769
|857.1429
|Ζ
|Ζ
|-
|-
|11
|11
|959.0979
|1000.782
|965.955
|950.9775
|978.878
|1015.3846
|942.8571
|Η
|Η
|-
|-
|12
|12
|1044.8121
|1101.391
|1053.955
|1033.985
|1071.186
|1107.6923
|1028.5714
|Η#
|Η#
|-
|-
|13
|13
|1130.5264
|1200
|1141.955
|1116.9925
|1163.4935
|1200
|1114.2857
|Θ
|Θ
|-
|-
|14
|14
|1216.2407
|1299.609
|1229.955
|1200
|1255.801
|1267.97
|1200
|Θ#
|Θ#
|-
|-
|15
|15
|1398.218
|1283.0075
|1333.94
|1301.955
|1301.955
|1317.955
|1348.109
|I (J)
|I (J)
|-
|-
|16
|16
|1387.6693
|1497.827
|1405.955
|1366.015
|1440.4165
! colspan="2" |1403.91
|'''A'''
|A
|-
!
! colspan="3" |Fifths
|
|-
|1
|699.9249
|702.2016
|706.5183
|Α#-Ϛ#/Ϝ#
|-
|2
|697.8948
|702.46625
|711.0816
|Β-Z
|-
|3
|695.8647
|702.7219
|715.645
|Γ-H
|-
|4
|693.8346
|702.9775
|720.2083
|Γ#-H#
|-
|5
|691.80455
|703.2331
|724.7716
|Δ-Θ
|-
|6
|689.7745
|703.48875
|729.3349
|Δ#-Θ#
|-
|7
|687.7444
|703.7448
|733.8982
|Ε-I (J)
|-
|8
|685.7143
|704
|738.4615
|'''Ϛ/Ϝ-A'''
|-
|9
|687.7444
|703.7448
|733.8982
|Ϛ#/Ϝ#-A#
|-
|10
|689.7745
|703.48875
|729.3349
|Ζ-B
|-
|11
|691.80455
|703.2331
|724.7716
|Η-Γ
|-
|12
|693.8346
|702.9775
|720.2083
|Η#-Γ#
|-
|13
|695.8647
|702.7219
|715.645
|Θ-Δ
|-
|14
|697.8948
|702.46625
|711.0816
|Θ#-Δ#
|-
|15
|699.9249
|702.2016
|706.5183
|I (J)-Ε
|-
!16
! colspan="3" |'''701.955'''
|'''A-Ϛ/Ϝ'''
|}
|}
[[Category:Well tempered nonet]]
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