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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 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]].


== Intervals ==
== Optimal 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¢''
!Minimum a
!“nonet” = 1351.429¢
!Maximum a
!“nonet” = 1460¢
!Minimum b
!''“fifth” 2 = 800¢''
!Maximum b
!Annapolis[6L 4s]
|-
|-
!1
!1
! colspan="4" |87.7444
! colspan="4" |87.7444
|Α#
|-
|-
!2
!2
! colspan="4" |175.48875
! colspan="4" |175.48875
|Β
|-
|-
!3
!3
! colspan="4" |263.2331
! colspan="4" |263.2331
|Γ
|-
|-
!4
!4
! colspan="4" |350.9775
! colspan="4" |350.9775
|Γ#
|-
|-
!5
!5
! colspan="4" |438.7219
! colspan="4" |438.7219
|Δ
|-
|-
!6
!6
! colspan="4" |526.46625
! colspan="4" |526.46625
|Δ#
|-
|-
!7
!7
! colspan="4" |614.2106
! colspan="4" |614.2106
|Ε
|-
|-
!'''8'''
!'''8'''
! colspan="4" |'''701.955'''
! 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]
|-
!1
! colspan="3" |87.7444
|Α#
|-
!2
! colspan="3" |175.48875
|Β
|-
!3
! colspan="3" |263.2331
|Γ
|-
!4
! colspan="3" |350.9775
|Γ#
|-
!5
! colspan="3" |438.7219
|Δ
|-
!6
! colspan="3" |526.46625
|Δ#
|-
!7
! colspan="3" |614.2106
|Ε
|-
!'''8'''
! colspan="3" |'''701.955'''
|'''Ϛ/Ϝ'''
|'''Ϛ/Ϝ'''
|-
|-
|9
|9
|797.955
|804.8121
|781.955
|787.6692
|787.6692
|789.955
|794.263
|Ϛ#/Ϝ#
|Ϛ#/Ϝ#
|-
|-
|10
|10
|873.3835
|893.955
|877.955
|907.6692
|886.57
|861.955
|873.3836
|Ζ
|Ζ
|-
|-
|11
|11
|989.955
|1010.5264
|941.955
|959.0979
|959.0979
|965.955
|978.878
|Η
|Η
|-
|-
|12
|12
|1085.955
|1113.3836
|1021.955
|1044.8121
|1044.8121
|1053.955
|1071.186
|Η#
|Η#
|-
|-
|13
|13
|1181.955
|1216.2407
|1101.955
|1130.5264
|1130.5264
|1141.955
|1163.4935
|Θ
|Θ
|-
|-
|14
|14
|1277.955
|1319.0979
|1181.955
|1216.2407
|1216.2407
|1229.955
|1255.801
|Θ#
|Θ#
|-
|-
|15
|15
|1373.955
|1421.955
|1261.955
|1301.955
|1301.955
|1317.955
|1348.109
|I (J)
|I (J)
|-
|-
|16
|16
|1387.6693
|1469.955
|1405.955
|1524.8121
|1440.4165
|1341.955
|'''A'''
|1387.6792
|-
|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'''
|}
|}
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