Orgone: Difference between revisions
From Xenharmonic Reference
Created page with "{{Infobox regtemp | Title = Orgone | Subgroups = 2.7.11 | Comma basis = 65536/65219 (2.7.11) | Edo join 1 = 11 | Edo join 2 = 15 | Mapping = 1; 3 -2 | Generators = 77/64 | Generators tuning = 323.3 | Optimization method = CWE | MOS scales = 4L 3s, 4L 7s, 11L 4s }} '''Orgone''' is a highly efficient temperament of the 2.7.11 subgroup, tempering out 65536/65219, such that three intervals of 11/8 reach the same point as two intervals of 8/7;..." |
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| Edo join 1 = 11 | Edo join 2 = 15 | | Edo join 1 = 11 | Edo join 2 = 15 | ||
| Mapping = 1; 3 -2 | | Mapping = 1; 3 -2 | ||
| Ploidacot = trimech | |||
| Generators = 77/64 | Generators tuning = 323.3 | Optimization method = CWE | | Generators = 77/64 | Generators tuning = 323.3 | Optimization method = CWE | ||
| MOS scales = [[4L 3s]], [[4L 7s]], [[11L 4s]] | | MOS scales = [[4L 3s]], [[4L 7s]], [[11L 4s]] | ||
Revision as of 03:18, 9 March 2026
| Orgone |
Orgone is a highly efficient temperament of the 2.7.11 subgroup, tempering out 65536/65219, such that three intervals of 11/8 reach the same point as two intervals of 8/7; the generator is therefore (11/8)/(8/7) = 77/64, two of which stack to 11/6 and three of which stack to 7/4.
Interval chain
In the following table, odd harmonics and subharmonics 1–11 are in bold.
| # | Cents* | Approximate ratios |
|---|---|---|
| 0 | 0.0 | 1/1 |
| 1 | 323.3 | 77/64 |
| 2 | 646.7 | 16/11 |
| 3 | 970.0 | 7/4 |
| 4 | 93.4 | 128/121 |
| 5 | 416.7 | 14/11 |
| 6 | 740.1 | 49/32 |
| 7 | 1063.4 | 224/121 |
* in 2.7.11-subgroup CWE tuning, octave reduced
