User:Francium/Mirroring Numbers: Difference between revisions

Revision as of 09:15, 23 May 2023

Mirroring Numbers is an ongoing project started on 29th March, 2023 in which I tried to use rank-2 temperaments, using following rules:

The combinations I used resulted in following rank-2 temperaments:

Subgroup: 2.3.5/3

Comma list: [-7 11 -14⟩

Mapping: [⟨1 7 5], ⟨0 -14 -11]]

Mapping generators: 1202.1405, 465.8199

Optimal tuning (POTE): 1200.0000, 464.9905

Supporting ETs: 31, 18[-3], 5[-3, -5/3], 13, 49[-3], 44[+5/3], 80[-3], 67[-3], 111[-3], 75[+5/3]

Badness: 0.721649

Name: Quadbizo

Subgroup: 2.3.7

Comma list: [-5 -11 8⟩

Mapping: [⟨1 1 2], ⟨0 8 11]]

Mapping generators: 1200.1746, 87.8432

Optimal tuning (POTE): 1200.0000, 87.8304

Supporting ETs: 41, 14, 27, 13[+7], 55, 68, 96[-7], 109, 15[-3, -7], 12[+3, +7], 69[-7], 40[+3, +7], 95, 29[-3, -7]

Badness: 0.004906

@@ Line 17: / Line 17: @@
 Optimal tuning (POTE): 1200.0000, 464.9905
-{{Optimal ET sequence|legend=1|13, 18b, 31, 49b, 67b, 80b, 111b}}
+Supporting ETs: 31, 18[-3], 5[-3, -5/3], 13, 49[-3], 44[+5/3], 80[-3], 67[-3], 111[-3], 75[+5/3]
 Badness: 0.721649
@@ Line 35: / Line 35: @@
 Optimal tuning (POTE): 1200.0000, 87.8304
-{{Optimal ET sequence|legend=1|14, 15bd, 27, 29bd, 41, 55, 68, 69d, 95, 96d, 109}}
+Supporting ETs: 41, 14, 27, 13[+7], 55, 68, 96[-7], 109, 15[-3, -7], 12[+3, +7], 69[-7], 40[+3, +7], 95, 29[-3, -7]
 Badness: 0.004906