6650edo: Difference between revisions
Jump to navigation
Jump to search
Tristanbay (talk | contribs) →Theory: Added links, commas that are tempered out, and mention of 665edo and its fifth, and removed stub tag Tags: Mobile edit Mobile web edit |
+subsets and supersets |
||
| Line 2: | Line 2: | ||
{{EDO intro|6650}} | {{EDO intro|6650}} | ||
This system is consistent up to the [[15-odd-limit]] and shares the same super accurate fifth with [[665edo]]. In the 11-limit, it tempers out [[9801/9800]], and in the 13-limit, [[123201/123200]]. | This system is consistent up to the [[15-odd-limit]] and shares the same super accurate fifth with [[665edo]]. In the 11-limit, it tempers out [[9801/9800]], and in the 13-limit, [[123201/123200]]. | ||
=== Prime harmonics === | |||
{{Harmonics in equal|6650}} | {{Harmonics in equal|6650}} | ||
=== Subsets and supersets === | |||
Since 6650 factors into {{factorization|6650}}, 6650edo has subset edos {{EDOs| 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, and 3325 }}. | |||
Revision as of 07:51, 5 May 2024
| ← 6649edo | 6650edo | 6651edo → |
This system is consistent up to the 15-odd-limit and shares the same super accurate fifth with 665edo. In the 11-limit, it tempers out 9801/9800, and in the 13-limit, 123201/123200.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | -0.0001 | +0.0322 | +0.0162 | -0.0397 | +0.0137 | +0.0671 | +0.0509 | +0.0565 | +0.0769 | -0.0732 |
| Relative (%) | +0.0 | -0.1 | +17.8 | +9.0 | -22.0 | +7.6 | +37.2 | +28.2 | +31.3 | +42.6 | -40.5 | |
| Steps (reduced) |
6650 (0) |
10540 (3890) |
15441 (2141) |
18669 (5369) |
23005 (3055) |
24608 (4658) |
27182 (582) |
28249 (1649) |
30082 (3482) |
32306 (5706) |
32945 (6345) | |
Subsets and supersets
Since 6650 factors into 2 × 52 × 7 × 19, 6650edo has subset edos 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, and 3325.