User:Francium/Mirroring Numbers: Difference between revisions
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Optimal tuning (POTE): 1200.0000, 464.9905 | Optimal tuning (POTE): 1200.0000, 464.9905 | ||
{{Optimal ET sequence|legend=1| 18*, 31, 49*, 80* }} | |||
Badness: 0.721649 | Badness: 0.721649 | ||
Revision as of 13:56, 1 June 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 numbers must mirror each other (e. g. 13&31)
- At least one number should be a prime.
The combinations I used resulted in following rank-2 temperaments:
13&31
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
Optimal ET sequence: 18*, 31, 49*, 80*
Badness: 0.721649
14&41
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