27edt: Difference between revisions
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27 being the third power of 3, and the base interval being 3/1, 27edt is a tuning where the number 3 prevails. This property seems to predestine 27edt as base tuning for Klingon music (since the tradtional Klingon number system is also based on 3). The rather harsh harmonic character of 27edt would suit very well, too. | 27 being the third power of 3, and the base interval being 3/1, 27edt is a tuning where the number 3 prevails. This property seems to predestine 27edt as base tuning for Klingon music (since the tradtional Klingon number system is also based on 3). The rather harsh harmonic character of 27edt would suit very well, too. | ||
See, e.g., | See, e.g., http://launch.dir.groups.yahoo.com/group/tuning/message/86909 and http://www.klingon.org/smboard/index.php?topic=1810.0. | ||
== Intervals == | == Intervals == | ||
Line 11: | Line 11: | ||
{| class="wikitable" style="text-align: right" | {| class="wikitable" style="text-align: right" | ||
! Steps !! [[Cent]] !! ~[[17edo]] | ! Steps !! [[Cent]] !! ~[[17edo]] | ||
!Sigma Scale | |||
|- | |- | ||
| 1 || 70.443 || 70.588 | | 1 || 70.443 || 70.588 | ||
|Db | |||
|- | |- | ||
| 2 || 140.886 || 141.176 | | 2 || 140.886 || 141.176 | ||
|C# | |||
|- | |- | ||
| 3 || 211.328 || 211.765 | | 3 || 211.328 || 211.765 | ||
|D | |||
|- | |- | ||
| 4 || 281.771 || 282.353 | | 4 || 281.771 || 282.353 | ||
|Eb | |||
|- | |- | ||
| 5 || 352.214 || 352.941 | | 5 || 352.214 || 352.941 | ||
|D# | |||
|- | |- | ||
| 6 || 422.657 || 423.529 | | 6 || 422.657 || 423.529 | ||
|E | |||
|- | |- | ||
| 7 || 493.099 || 494.118 | | 7 || 493.099 || 494.118 | ||
|Fb | |||
|- | |- | ||
| 8 || 563.542 || 564.706 | | 8 || 563.542 || 564.706 | ||
|E# | |||
|- | |- | ||
| 9 || 633.985 || 635.294 | | 9 || 633.985 || 635.294 | ||
|F | |||
|- | |- | ||
| 10 || 704.428 || 705.882 | | 10 || 704.428 || 705.882 | ||
|G | |||
|- | |- | ||
| 11 || 774.871 || 776.471 | | 11 || 774.871 || 776.471 | ||
|Hb | |||
|- | |- | ||
| 12 || 845.313 || 847.059 | | 12 || 845.313 || 847.059 | ||
|G# | |||
|- | |- | ||
| 13 || 915.756 || 917.647 | | 13 || 915.756 || 917.647 | ||
|H | |||
|- | |- | ||
| 14 || 986.199 || 988.235 | | 14 || 986.199 || 988.235 | ||
|Jb | |||
|- | |- | ||
| 15 || 1056.642 || 1058.824 | | 15 || 1056.642 || 1058.824 | ||
|H# | |||
|- | |- | ||
| 16 || 1127.084 || 1129.412 | | 16 || 1127.084 || 1129.412 | ||
|J | |||
|- | |- | ||
| 17 || 1197.527 || 1200.000 | | 17 || 1197.527 || 1200.000 | ||
|Kb | |||
|- | |- | ||
| 18 || 1267.970 || 1270.588 | | 18 || 1267.970 || 1270.588 | ||
|J# | |||
|- | |- | ||
| 19 || 1338.413 || 1341.176 | | 19 || 1338.413 || 1341.176 | ||
|K | |||
|- | |- | ||
| 20 || 1408.856 || 1411.765 | | 20 || 1408.856 || 1411.765 | ||
|L | |||
|- | |- | ||
| 21 || 1479.298 || 1482.353 | | 21 || 1479.298 || 1482.353 | ||
|Ab | |||
|- | |- | ||
| 22 || 1549.741 || 1552.941 | | 22 || 1549.741 || 1552.941 | ||
|L# | |||
|- | |- | ||
| 23 || 1620.184 || 1623.529 | | 23 || 1620.184 || 1623.529 | ||
|A | |||
|- | |- | ||
| 24 || 1690.627 || 1694.118 | | 24 || 1690.627 || 1694.118 | ||
|Bb | |||
|- | |- | ||
| 25 || 1761.069 || 1764.706 | | 25 || 1761.069 || 1764.706 | ||
|A# | |||
|- | |- | ||
| 26 || 1831.512 || 1835.294 | | 26 || 1831.512 || 1835.294 | ||
|B | |||
|- | |- | ||
| 27 || 1901.955 || 1905.882 | | 27 || 1901.955 || 1905.882 | ||
|C | |||
|} | |} | ||
[[Category:Edt]] | [[Category:Edt]] | ||
[[Category:Nonoctave]] | [[Category:Nonoctave]] |