User:Moremajorthanmajor/8wtn: Difference between revisions

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== Optimal Intervals ==
== Optimal Intervals ==
{| class="wikitable"
{| class="wikitable"
!
!Target Minimum
!Target Maximum
|-
|-
!1
|1
! colspan="2" |175.48875
|175.48875
|-
|-
!2
|2
! colspan="2" |350.9775
|350.9775
|-
|-
!3
|3
! colspan="2" |526.46625
|526.46625
|-
|-
!4
|4
! colspan="2" |701.955
|701.955
|-
|-
!5
|5
! colspan="2" |867.97
|867.97
|-
|-
!6
|6
! colspan="2" |1032.985
|1032.985
|-
|-
!7
|7
! colspan="2" |1200
|1200
|-
|-
|8
|8
|1350
|1366.015
|1400
|}
|}

Revision as of 01:19, 1 June 2021

8WTN is the equal division of the just perfect fifth into four parts of 175.48875 cents each alternated with a sequence of four equal steps of another interval between 150 and 200 cents in its patent tunings. Its best tunings are related to the tetracot temperament, which tempers out 20000/19683 in the 5-limit.

Optimal Intervals

1 175.48875
2 350.9775
3 526.46625
4 701.955
5 867.97
6 1032.985
7 1200
8 1366.015