5L 3s/Temperaments: Difference between revisions

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Vulture/[[Hemifamity_temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7), is the only [[harmonic entropy]] minimum in the oneirotonic range. However, the rest of this region is still rich in notable subgroup temperaments.
Vulture/[[Hemifamity_temperaments|Buzzard]], in which four generators make a 3/1 (and three generators approximate an octave plus 8/7), is the only [[harmonic entropy]] minimum in the oneirotonic range. However, the rest of this region is still rich in notable subgroup temperaments.
== Petrtri ==
== Petrtri ==
Subgroup: 2.9/5.11/5.13/5
Subgroup: 2.11/5.13/5


Period: 1\1
Comma: 2200/2197


Optimal ([[Lp tuning|POL2]]) generator: 458.0950
Svalname: 3&5


EDO generators: [[13edo|5\13]], [[21edo|8\21]], [[34edo|13\34]]
[[Tp_tuning|POT2 generator]]: ~13/10 = 455.012


[[Comma]] list: 100/99, 144/143
[[Gencom|Gencom]]: [2 13/10; 2200/2197]


[[Mapping]]: [⟨2: 1, 9/5: 2, 11/5: 0, 13/5: 1], ⟨2: 0, 9/5: -3, 11/5: 3, 13/5: 1]]
Gencom map: [<1 0 -1/3 0 -1/3 2/3|, <0 0 -4/3 0 5/3 -1/3|]


Mapping generators: ~2, ~13/10
Map: [<1 0 1|, <0 3 1|]


{{Vals|legend=1| 13, 21, 34 }}
EDOs: 21, 29, 153, 182, 211, 240, 269, 298, 327, 356, 385, 509, 741c, 1126c


=== Tridec ===
=== Tridec ===