User:Moremajorthanmajor/12wtn: Difference between revisions
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Created page with "'''12WTN''' is the equal division of the just perfect fifth into six parts of 116.9925 cents each alternated with a sequence of six equal steps of another int..." |
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| Line 9: | Line 9: | ||
!''“fifth” 2 = 800¢'' | !''“fifth” 2 = 800¢'' | ||
|- | |- | ||
!1 | |||
! colspan="4" |116.9925 | |||
|- | |- | ||
!2 | |||
! colspan="4" |233.985 | |||
|- | |- | ||
!3 | |||
! colspan="4" |350.9775 | |||
|- | |- | ||
!4 | |||
! colspan="4" |467.97 | |||
|- | |- | ||
!5 | |||
! colspan="4" |584.9625 | |||
|- | |- | ||
!6 | |||
! colspan="4" |701.955 | |||
|- | |- | ||
|7 | |7 | ||
| Line 71: | Line 71: | ||
!fifth 2 = 3\5 | !fifth 2 = 3\5 | ||
|- | |- | ||
!1 | |||
! colspan="2" |116.9925 | |||
|- | |- | ||
!2 | |||
! colspan="2" |233.985 | |||
|- | |- | ||
!3 | |||
! colspan="2" |350.9775 | |||
|- | |- | ||
!4 | |||
! colspan="2" |467.97 | |||
|- | |- | ||
!5 | |||
! colspan="2" |584.9625 | |||
|- | |- | ||
!6 | |||
! colspan="2" |701.955 | |||
|- | |- | ||
|7 | |7 | ||
| Line 112: | Line 112: | ||
|1356.5005 | |1356.5005 | ||
|1421.955 | |1421.955 | ||
|- | |||
! | |||
! colspan="2" |Fifths | |||
|- | |||
|1 | |||
|694.053 | |||
|704.9625 | |||
|- | |||
|2 | |||
|686.152 | |||
|707.97 | |||
|- | |||
|3 | |||
|678.25 | |||
|710.9775 | |||
|- | |||
|4 | |||
|670.349 | |||
|713.985 | |||
|- | |||
|5 | |||
|662.4705 | |||
|716.9925 | |||
|- | |||
|6 | |||
|654.5455 | |||
|720 | |||
|- | |||
|7 | |||
|662.4705 | |||
|716.9925 | |||
|- | |||
|8 | |||
|670.349 | |||
|713.985 | |||
|- | |||
|9 | |||
|678.25 | |||
|710.9775 | |||
|- | |||
|10 | |||
|686.152 | |||
|707.97 | |||
|- | |||
|11 | |||
|694.053 | |||
|704.9625 | |||
|- | |||
!12 | |||
! colspan="2" |701.955 | |||
|} | |} | ||
Revision as of 02:54, 29 May 2021
12WTN is the equal division of the just perfect fifth into six parts of 116.9925 cents each alternated with a sequence of six equal steps of another interval between 100 and 133.333 cents. Its best tunings are related to the miracle temperament, which tempers out 225/224 and 1029/1024 in the 7-limit.
Intervals
| “fifth” 2 = 600¢ | “nonet” = 1351.429¢ | “nonet” = 1460¢ | “fifth” 2 = 800¢ | |
|---|---|---|---|---|
| 1 | 116.9925 | |||
| 2 | 233.985 | |||
| 3 | 350.9775 | |||
| 4 | 467.97 | |||
| 5 | 584.9625 | |||
| 6 | 701.955 | |||
| 7 | 801.955 | 810.201 | 828.296 | 835.328 |
| 8 | 901.955 | 918.446 | 954.637 | 968.662 |
| 9 | 1001.955 | 1026.692 | 1080.9775 | 1101.955 |
| 10 | 1101.955 | 1134.937 | 1207.318 | 1235.328 |
| 11 | 1201.955 | 1243.183 | 1333.695 | 1368.662 |
| 12 | 1301.955 | 1351.429 | 1460 | 1501.955 |
Common Tunings
| fifth 2 = 6\11 | fifth 2 = 3\5 | |
|---|---|---|
| 1 | 116.9925 | |
| 2 | 233.985 | |
| 3 | 350.9775 | |
| 4 | 467.97 | |
| 5 | 584.9625 | |
| 6 | 701.955 | |
| 7 | 811.046 | 821.955 |
| 8 | 920.137 | 941.955 |
| 9 | 1029.228 | 1061.955 |
| 10 | 1138.319 | 1181.955 |
| 11 | 1247.4095 | 1301.955 |
| 12 | 1356.5005 | 1421.955 |
| Fifths | ||
| 1 | 694.053 | 704.9625 |
| 2 | 686.152 | 707.97 |
| 3 | 678.25 | 710.9775 |
| 4 | 670.349 | 713.985 |
| 5 | 662.4705 | 716.9925 |
| 6 | 654.5455 | 720 |
| 7 | 662.4705 | 716.9925 |
| 8 | 670.349 | 713.985 |
| 9 | 678.25 | 710.9775 |
| 10 | 686.152 | 707.97 |
| 11 | 694.053 | 704.9625 |
| 12 | 701.955 | |