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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 in its patent tunings making its best tunings very nearly [[88cET]].
'''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]].


== Optimal 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"
|+
|+
!
!
!Minimum a
!Target a
!Maximum a
!Target b
!Minimum b
!Alternating [[EDO|edo]] and *ed(9/8) a
!Maximum b
!Alternating edo and *ed(9/8) b
!Annapolis[6L 4s]
!Annapolis[6L 4s]
|-
|-
!1
|1
! colspan="4" |87.7444
! colspan="2" |87.7444
|92.3077
|85.7143
|Α#
|Α#
|-
|-
!2
|2
! colspan="4" |175.48875
! colspan="2" |175.48875
|184.6154
|171.4286
|Β
|Β
|-
|-
!3
|3
! colspan="4" |263.2331
! colspan="2" |263.2331
|276.9231
|257.1429
|Γ
|Γ
|-
|-
!4
|4
! colspan="4" |350.9775
! colspan="2" |350.9775
|369.2308
|342.8571
|Γ#
|Γ#
|-
|-
!5
|5
! colspan="4" |438.7219
! colspan="2" |438.7219
|461.5385
|428.5714
|Δ
|Δ
|-
|-
!6
|6
! colspan="4" |526.46625
! colspan="2" |526.46625
|553.84615
|51<span style="line-height: 1.5;">4.2857</span>
|Δ#
|Δ#
|-
|-
!7
|7
! colspan="4" |614.2106
! colspan="2" |614.2106
|646.15385
|600.000
|Ε
|Ε
|-
|-
!'''8'''
|'''8'''
! colspan="4" |'''701.955'''
! colspan="2" |'''701.955'''
|738.4615
|685.7143
|'''Ϛ/Ϝ'''
|'''Ϛ/Ϝ'''
|-
|-
|9
|9
|797.955
|801.564
|804.8121
|784.9625
|781.955
|830.7692
|787.6692
|771.4286
|Ϛ#/Ϝ#
|Ϛ#/Ϝ#
|-
|-
|10
|10
|893.955
|901.173
|907.6692
|867.97
|861.955
|923.0769
|873.3836
|857.1429
|Ζ
|Ζ
|-
|-
|11
|11
|989.955
|1000.782
|1010.5264
|950.9775
|941.955
|1015.3846
|959.0979
|942.8571
|Η
|Η
|-
|-
|12
|12
|1085.955
|1101.391
|1113.3836
|1033.985
|1021.955
|1107.6923
|1044.8121
|1028.5714
|Η#
|Η#
|-
|-
|13
|13
|1181.955
|1200
|1216.2407
|1116.9925
|1101.955
|1200
|1130.5264
|1114.2857
|Θ
|Θ
|-
|-
|14
|14
|1277.955
|1299.609
|1319.0979
|1200
|1181.955
|1267.97
|1216.2407
|1200
|Θ#
|Θ#
|-
|-
|15
|15
|1373.955
|1398.218
|1421.955
|1283.0075
|1261.955
|1333.94
|1301.955
|1301.955
|I (J)
|I (J)
|-
|-
|16
|16
|1469.955
|1497.827
|1524.8121
|1366.015
|1341.955
! colspan="2" |1403.91
|1387.6792
|A
|A
|}
|}
[[Category:Well tempered nonet]]
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