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
|}
|}

Revision as of 05:20, 30 May 2021

10WTN is the equal division of the just perfect fifth into five parts of 140.391 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.

Optimal Intervals

Minimum Maximum
1 140.391
2 280.782
3 421.173
4 561.564
5 701.955
6 821.955 830.526
7 941.955 959.098
8 1061.955 1087.67
9 1181.955 1216.241
10 1301.955 1344.812
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