User:Lériendil/Hanson and cata: Difference between revisions

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| MOS scales = [[3L 1s]], [[4L 3s]], [[4L 7s]], [[4L 11s]], [[15L 4s]]
| MOS scales = [[3L 1s]], [[4L 3s]], [[4L 7s]], [[4L 11s]], [[15L 4s]]
| Mapping = 1; 6 5 14
| Mapping = 1; 6 5 14
| Ploidacot = haploid alpha-hexacot
| Odd limit 1 = 5 | Mistuning 1 = 1.35 | Complexity 1 = 15
| Odd limit 1 = 5 | Mistuning 1 = 1.35 | Complexity 1 = 15
| Odd limit 2 = (2.3.5.13) 15 | Mistuning 2 = 2.35 | Complexity 2 = 34
| Odd limit 2 = (2.3.5.13) 15 | Mistuning 2 = 2.35 | Complexity 2 = 34
}}
<br>
{{Infobox RT
| Title = Würschmidt
| Subgroups = 2.3.5, 2.3.5.23
| Comma basis = [[393216/390625]] (2.3.5); <br> [[576/575]], [[12167/12150]] (2.3.5.23)
| Edo join 1 = 31 | Edo join 2 = 34
| Generator = 5/4 | Generator tuning = 387.734 | Optimization method = CTE
| MOS scales = [[3L 1s]], [[3L 4s]] ... [[3L 28s]], [[31L 3s]]
| Mapping = 1; 8 1 14
| Odd limit 1 = 5 | Mistuning 1 = 1.43 | Complexity 1 = 19
| Odd limit 2 = (2.3.5.23) 25 | Mistuning 2 = 2.86 | Complexity 2 = 34
}}
}}

Latest revision as of 04:12, 21 October 2024

Lériendil/Hanson and cata
Subgroups 2.3.5, 2.3.5.13
Comma basis 15625/15552 (2.3.5);
325/324, 625/624 (2.3.5.13)
Reduced mapping <1; 6 5 14]
Edo join 15 & 19
Generator (CTE) ~6/5 = 317.111c
MOS scales 3L 1s, 4L 3s, 4L 7s, 4L 11s, 15L 4s
Ploidacot alpha-hexacot
Minmax error (5-odd limit) 1.35c;
((2.3.5.13) 15-odd limit) 2.35c
Target scale size (5-odd limit) 15 notes;
((2.3.5.13) 15-odd limit) 34 notes


Würschmidt
Subgroups 2.3.5, 2.3.5.23
Comma basis 393216/390625 (2.3.5);
576/575, 12167/12150 (2.3.5.23)
Reduced mapping <1; 8 1 14]
Edo join 31 & 34
Generator (CTE) ~5/4 = 387.734c
MOS scales 3L 1s, 3L 4s ... 3L 28s, 31L 3s
Ploidacot beta-octacot
Minmax error (5-odd limit) 1.43c;
((2.3.5.23) 25-odd limit) 2.86c
Target scale size (5-odd limit) 19 notes;
((2.3.5.23) 25-odd limit) 34 notes