User:Moremajorthanmajor/8wtn: Difference between revisions
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Revision as of 00:54, 29 May 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. Its best tunings are related to the tetracot temperament, which tempers out 20000/19683 in the 5-limit.
Intervals
| “fifth” 2 = 600¢ | “nonet” = 1351.429¢ | step 2 = 10/9 | “nonet” = 1460¢ | “fifth” 2 = 800¢ | |
|---|---|---|---|---|---|
| 1 | 175.48875 | ||||
| 2 | 350.9775 | ||||
| 3 | 526.46625 | ||||
| 4 | 701.955 | ||||
| 5 | 851.955 | 864.3234 | 884.3587 | 891.46625 | 901.955 |
| 6 | 1001.955 | 1026.692 | 1066.7624 | 1080.9775 | 1101.955 |
| 7 | 1151.955 | 1189.0602 | 1249.1661 | 1270.48875 | 1301.955 |
| 8 | 1301.955 | 1351.429 | 1431.56985 | 1460 | 1501.955 |
Common Tuning
| 1 | 175.48875 |
| 2 | 350.9775 |
| 3 | 526.46625 |
| 4 | 701.955 |
| 5 | 873.3836 |
| 6 | 1044.8121 |
| 7 | 1216.2407 |
| 8 | 1387.6693 |
| Fifths | |
|---|---|
| 1 | 697.8948 |
| 2 | 693.8346 |
| 3 | 689.7745 |
| 4 | 685.7143 |
| 5 | 689.7745 |
| 6 | 693.8346 |
| 7 | 697.8948 |
| 8 | 701.955 |