User:Moremajorthanmajor/6wtn: Difference between revisions

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!Minimum
!Minimum
!Maximum
!Maximum
![3\5 249.0225¢]
|-
|-
!1
!1
! colspan="2" |233.985
! colspan="3" |233.985
|-
|-
!2
!2
! colspan="2" |467.97
! colspan="3" |467.97
|-
|-
!3
!3
! colspan="2" |701.955
! colspan="3" |701.955
|-
|-
|4
|4
|941.955
|941.955
|959.098
|959.098
|950.9775
|-
|-
|5
|5
|1181.955
|1181.955
|1216.241
|1216.241
|1200
|-
|-
|6
|6
|1421.955
|1421.955
|1473.384
|1473.384
|1421.955
|}
|}

Revision as of 20:35, 31 May 2021

6WTN, if the attempt is made to use it as an actual scale, would divide the just perfect fifth into three equal parts, each of size 233.985 cents, which is to say (3/2)^(1/3) as a frequency ratio, alternating these with three equal steps of another interval between 200 and 266.667 cents in its patent tunings. This will create three equally-spaced intervals between an interval between 600 and 800 cents and the just perfect fifth. If we want to consider it to be a temperament, it tempers out 16/15, 21/20, 28/27, 81/80, and 256/243 as well as 5edo.

Optimal Intervals

Minimum Maximum [3\5 249.0225¢]
1 233.985
2 467.97
3 701.955
4 941.955 959.098 950.9775
5 1181.955 1216.241 1200
6 1421.955 1473.384 1421.955