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The best '''well-tempered divisions of nonets into 14 parts''' (14WTNs) are related to classical well temperaments, but with a nonet rather than the 2/1 being constant. The patent val has a generally sharp tendency for harmonics up to 21, with the exception for 11 and 13.
The best '''well-tempered divisions of nonets into 14 parts''' (14WTNs) are related to classical well temperaments, but with a nonet rather than the 2/1 being constant. The patent val has a generally sharp tendency for harmonics up to 21, with the exception for 11 and 13.


== Intervals ==
== Optimal Intervals ==
{| class="wikitable"
{| class="wikitable"
|+
|+
!
!
!''“fifth” 2 = 600¢''
!Minimum
!“nonet” = 1351.429¢
!Maximum
!“nonet” = 1460¢
!''“fifth” 2 = 800¢''
|-
|-
!1
!1
! colspan="4" |100.2793
! colspan="2" |100.2793
|-
|-
!2
!2
! colspan="4" |200.5586
! colspan="2" |200.5586
|-
|-
!3
!3
! colspan="4" |300.8379
! colspan="2" |300.8379
|-
|-
!4
!4
! colspan="4" |401.1171
! colspan="2" |401.1171
|-
|-
!5
!5
! colspan="4" |501.3964
! colspan="2" |501.3964
|-
|-
!6
!6
! colspan="4" |601.6757
! colspan="2" |601.6757
|-
|-
!7
!7
! colspan="4" |701.955
! colspan="2" |701.955
|-
|-
|8
|8
|''787.6692''
|797.955
|794.7369
|804.8121
|810.2471
|''816.2407''
|-
|-
|9
|9
|''873.3835''
|893.955
|887.5189
|907.6692
|918.5393
|''930.5264''
|-
|-
|10
|10
|''959.0979''
|989.955
|980.3008
|1010.5264
|1026.8314
|''1044.8121''
|-
|-
|11
|11
|''1044.8121''
|1085.955
|1073.0828
|1113.3836
|1135.1236
|''1159.0979''
|-
|-
|12
|12
|''1130.5264''
|1181.955
|1165.8647
|1216.2407
|1243.4157
|''1273.3835''
|-
|-
|13
|13
|''1216.2407''
|1277.955
|1258.6466
|1319.0979
|1351.7079
|''1387.6693''
|-
|-
|14
|14
|''1301.955''
|1373.955
|1351.429
|1421.955
|1460
|''1501.955''
|}
 
== Common Tuning ==
{| class="wikitable"
|+
|1
|100.2793
|-
|2
|200.5586
|-
|3
|300.8379
|-
|4
|401.1171
|-
|5
|501.3964
|-
|6
|601.6757
|-
|7
|701.955
|-
|8
|801.955
|-
|9
|901.955
|-
|10
|1001.955
|-
|11
|1101.955
|-
|12
|1201.955
|-
|13
|1301.955
|-
|14
|1401.955
|-
!
!Fifths
|-
|1
|701.6757
|-
|2
|701.3964
|-
|3
|701.1171
|-
|4
|700.8379
|-
|5
|700.5586
|-
|6
|700.2793
|-
|7
|700
|-
|8
|700.2793
|-
|9
|700.5586
|-
|10
|700.8379
|-
|11
|701.1171
|-
|12
|701.3964
|-
|13
|701.6757
|-
|14
|701.955
|}
|}
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