13ed5/2: Difference between revisions
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'''13ed5/2''' is the equal division of the [[5/2]] interval into 13 parts of 122.024 [[cent]]s each. It roughly corresponds to [[10edo]]. | '''13ed5/2''' is the equal division of the [[5/2]] interval into 13 parts of 122.024 [[cent]]s each. It roughly corresponds to [[10edo]]. | ||
== Theory == | == Theory == | ||
13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilismic temperament (named "jub" by [[User:CompactStar|CompactStar]]). | Like 10edo, 13ed5/2 tempers out [[50/49]] in the no-threes 7-limit, [[support]]ing 5/2-equivalent jubilismic temperament (named "jub" by [[User:CompactStar|CompactStar]]). | ||
{{Harmonics in equal|13|5|2}} | {{Harmonics in equal|13|5|2}} | ||
== Intervals == | == Intervals == | ||
Revision as of 02:05, 24 June 2023
| ← 12ed5/2 | 13ed5/2 | 14ed5/2 → |
(semiconvergent)
13ed5/2 is the equal division of the 5/2 interval into 13 parts of 122.024 cents each. It roughly corresponds to 10edo.
Theory
Like 10edo, 13ed5/2 tempers out 50/49 in the no-threes 7-limit, supporting 5/2-equivalent jubilismic temperament (named "jub" by CompactStar).
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +20.2 | +50.4 | +40.5 | +20.2 | -51.4 | +47.8 | +60.7 | -21.2 | +40.5 | -2.5 | -31.1 |
| Relative (%) | +16.6 | +41.3 | +33.2 | +16.6 | -42.1 | +39.2 | +49.8 | -17.3 | +33.2 | -2.0 | -25.5 | |
| Steps (reduced) |
10 (10) |
16 (3) |
20 (7) |
23 (10) |
25 (12) |
28 (2) |
30 (4) |
31 (5) |
33 (7) |
34 (8) |
35 (9) | |
Intervals
| # | Cents |
|---|---|
| 0 | 0.000 |
| 1 | 122.024 |
| 2 | 244.048 |
| 3 | 366.072 |
| 4 | 488.096 |
| 5 | 610.120 |
| 6 | 732.144 |
| 7 | 854.168 |
| 8 | 976.192 |
| 9 | 1098.216 |
| 10 | 1220.240 |
| 11 | 1342.264 |
| 12 | 1464.288 |
| 13 | 1586.312 |