Syntonic–31 equivalence continuum: Difference between revisions

Tabulate fractional-n temps
Normalize a mapping
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== Quadlayo (31 & 12c) ==
== Quadlayo (31 & 12c) ==
In fifths notation, 5/4 is mapped to the quadruple-diminished fifth.
In the [[circle-of-fifths notation]], 5/4 is mapped to the quadruple-diminished fifth (C-Gbbbb).


Subgroup: 2.3.5
Subgroup: 2.3.5
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Comma list: {{monzo| -45 27 1 }} = 38127987424935/35184372088832
Comma list: {{monzo| -45 27 1 }} = 38127987424935/35184372088832


Mapping: {{mapping| 1 2 -9 | 0 -1 27 }}
Mapping: {{mapping| 1 0 45 | 0 1 -27 }}


Optimal tuning (POTE): ~2 = 1\1, ~4/3 = 503.050
Optimal tuning (POTE): ~2 = 1\1, ~3/2 = 696.950


{{Optimal ET sequence|legend=1| 12c, 19c, 31, 43c, 50c }}
{{Optimal ET sequence|legend=1| 12c, 19c, 31, 43c, 50c }}