User:Moremajorthanmajor/10wtn: Difference between revisions

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'''10WTN''' is the [[EDF|equal division of the just perfect fifth]] into five parts of 140.391 [[cent|cents]] each alternated with a sequence of five equal steps of another interval between 120 and 160 cents. Its best tunings are close to the [[Bleu]] generator chain and every second step of [[17edo]].
'''10WTN''' is the [[EDF|equal division of the just perfect fifth]] into five parts of 140.391 [[cent|cents]] each alternated with a sequence of five equal steps of another interval between 120 and 160 cents. Its best tunings are close to the [[Bleu]] generator chain and every second step of [[17edo]].


== Intervals ==
== Optimal Intervals ==
{| class="wikitable"
{| class="wikitable"
!
!
!''“fifth” 2 = 600¢''
!Minimum
!“nonet” = 1351.429¢
!Maximum
!“nonet” = 1460¢
!''“fifth” 2 = 800¢''
|-
|-
!1
!1
! colspan="4" |140.391
! colspan="2" |140.391
|-
|-
!2
!2
! colspan="4" |280.782
! colspan="2" |280.782
|-
|-
!3
!3
! colspan="4" |421.173
! colspan="2" |421.173
|-
|-
!4
!4
! colspan="4" |561.564
! colspan="2" |561.564
|-
|-
!5
!5
! colspan="4" |701.955
! colspan="2" |701.955
|-
|-
|6
|6
|''821.955''
|821.955
|831.85
|830.526
|853.564
|''861.955''
|-
|-
|7
|7
|''941.955''
|941.955
|961.744
|959.098
|1005.173
|''1021.955''
|-
|-
|8
|8
|''1061.955''
|1061.955
|1091.639
|1087.67
|1156.782
|''1181.955''
|-
|-
|9
|9
|''1181.955''
|1181.955
|1221.534
|1216.241
|1308.391
|''1341.955''
|-
|-
|10
|10
|''1301.955''
|1301.955
|1351.429
|1344.812
|1460
|''1501.955''
|}
 
== Common Tuning ==
{| class="wikitable"
|1
|140.391
|-
|2
|280.782
|-
|3
|421.173
|-
|4
|561.564
|-
|5
|701.955
|-
|6
|843.1315
|-
|7
|984.308
|-
|8
|1125.484
|-
|9
|1266.661
|-
|10
|1407.837
|-
!
!Fifths
|-
|1
|702.741
|-
|2
|703.526
|-
|3
|704.311
|-
|4
|705.097
|-
|5
|705.882
|-
|6
|705.097
|-
|7
|704.311
|-
|8
|703.526
|-
|9
|702.741
|-
|10
|701.955
|}
|}