Oolong: Difference between revisions
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{{Infobox regtemp | |||
| Title = Oolong | |||
| Subgroups = 2.3.5.7, 2.3.5.7.13 | |||
| Comma basis = [[126/125]], [[117649/116640]] (2.3.5.7); <br>[[126/125]], [[196/195]], [[15379/15360]] (2.3.5.7.13) | |||
| Edo join 1 = 27 | Edo join 2 = 50 | |||
| Mapping = 1; -17 -18 -20 -5 | |||
| Generators = 6/5 | |||
| Generators tuning = 311.7 | |||
| Optimization method = CWE | |||
| MOS scales = [[4L 3s]], [[4L 7s]], [[4L 11s]], [[4L 15s]], [[4L 19s]], [[23L 4s]] | |||
| Pergen = (P8, c<sup>4</sup>P4/17) | |||
| Odd limit 1 = 7 | Mistuning 1 = 5.6 | Complexity 1 = 23 | |||
}} | |||
See [[Starling temperaments #Oolong]] for more technical data. | See [[Starling temperaments #Oolong]] for more technical data. | ||
Latest revision as of 00:34, 3 May 2026
| Oolong |
126/125, 196/195, 15379/15360 (2.3.5.7.13)
See Starling temperaments #Oolong for more technical data.
Interval chain
In the following table, prime harmonics are in bold.
| # | Cents* | Approximate Ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 311.7 | 6/5 |
| 2 | 623.3 | 10/7 |
| 3 | 935.0 | 12/7 |
| 4 | 46.7 | 36/35, 40/39 |
| 5 | 358.3 | 16/13 |
| 6 | 670.0 | 96/65 |
| 7 | 981.7 | 160/91 |
| 8 | 93.4 | 96/91 |
| 9 | 405.0 | 91/72 |
| 10 | 716.7 | 91/60 |
| 11 | 1028.4 | 49/27, 65/36 |
| 12 | 140.0 | 13/12 |
| 13 | 451.7 | 13/10 |
| 14 | 763.4 | 14/9 |
| 15 | 1075.0 | 13/7, 28/15, 50/27 |
| 16 | 186.7 | 10/9, 28/25 |
| 17 | 498.4 | 4/3 |
| 18 | 810.0 | 8/5 |
| 19 | 1121.7 | 40/21, 48/25 |
| 20 | 233.4 | 8/7 |
* In 2.3.5.7.13 POTE tuning
Tuning spectrum
| ET generator |
eigenmonzo (unchanged-interval) |
generator (¢) |
|---|---|---|
| 7/5 | 308.744 | |
| 7/6 | 311.043 | |
| 7\27 | 311.111 | |
| 10/9 | 311.400 | |
| 14/13 | 311.447 | |
| 49/48 | 311.491 | |
| 27\104 | 311.538 | |
| 13/12 | 311.548 | |
| 8/7 | 311.559 | |
| 47\181 | 311.602 | |
| 13/9 | 311.608 | |
| 4/3 | 311.650 | |
| 20\77 | 311.688 | |
| 28/27 | 311.708 | |
| 15/13 | 311.742 | |
| 16/15 | 311.764 | |
| 9/7 | 311.780 | |
| 13/10 | 311.863 | |
| 5/4 | 311.871 | |
| 16/13 | 311.894 | |
| 13\50 | 312.000 | |
| 15/14 | 312.037 | |
| 25/24 | 312.070 | |
| 6\23 | 313.043 | |
| 6/5 | 315.641 |