Diaschismic family: Difference between revisions

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=== 19-limit ===
=== 19-limit ===
Srutal, Shrutar and Bidia have similar 19-limit properties, tempering 190/189, related rank-3 [[Julius]].


Srutal, Shrutar and Bidia have similar 19-limit  properties, tempering 190/189, related rank-3 [[Julius]].
Comma list: 136/135, 169/168, 176/175, 190/189, 221/220, 256/255


Comma list: 136/135, 169/168, 176/175, 190/189, 221/220, 256/255
Mapping: [{{val| 2 0 11 -42 -28 -18 5 -55 }}, {{val| 0 1 -2 15 11 8 1 20 }}]


Mapping: [{{val| 2 0 11 -42 -28 -18 5 -55 }}, {{val| 0 1 -2 15 11 8 1 20}}]
POTE generator: ~3/2 = 704.905


Optimal GPV sequence: {{Val list| 34dh, 46, 80, 206cd }}
Optimal GPV sequence: {{Val list| 34dh, 46, 80, 206cd }}
Badness: 0.017063


== Pajara ==
== Pajara ==
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Badness: 0.018375
Badness: 0.018375
==== Pajarita ====
Subgroup: 2.3.5.7.11.13
Comma list: 40/39, 50/49, 64/63, 66/65
Mapping: [{{val|2 0 11 12 26 17}}, {{val|0 1 -2 -2 -6 -3}}]
POTE generator: ~3/2 = 707.450
Optimal GPV sequence: {{Val list| 10e, 12f, 22f }}
Badness: 0.022677
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
Comma list: 40/39, 50/49, 64/63, 66/65, 85/84
Mapping: [{{val|2 0 11 12 26 17 5}}, {{val|0 1 -2 -2 -6 -3 1}}]
POTE generator: ~3/2 = 707.947
Optimal GPV sequence: {{Val list| 10e, 12f, 22f }}
Badness: 0.019007


=== Pajarous ===
=== Pajarous ===
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POTE generator ~3/2 = 710.818
POTE generator ~3/2 = 710.818


Optimal GPV sequence: {{Val list| 10, 22f, 32f, 54f }}
Optimal GPV sequence: {{Val list| 10, 22f, 32f, 54ff }}


Badness: 0.027355
Badness: 0.027355
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
Comma list: 40/39, 50/49, 55/54, 64/63, 85/84
Mapping: [{{val| 2 0 11 12 -9 17 5 }}, {{val| 0 1 -2 -2 5 -3 1 }}]
POTE generator ~3/2 = 710.866
Optimal GPV sequence: {{Val list| 10, 22f, 32f, 54ff }}
Badness: 0.019844


=== Pajaric ===
=== Pajaric ===
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POTE generator: ~3/2 = 705.524
POTE generator: ~3/2 = 705.524


Optimal GPV sequence: {{Val list| 10, 12, 22e, 34de }}
Optimal GPV sequence: {{Val list| 10, 12, 22e, 34dee }}


Badness: 0.023798
Badness: 0.023798
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POTE generator: ~3/2 = 707.442
POTE generator: ~3/2 = 707.442


Optimal GPV sequence: {{Val list| 10, 12f, 22ef, 34def }}
Optimal GPV sequence: {{Val list| 10, 12f, 22ef }}


Badness: 0.020461
Badness: 0.020461
==== 17-limit ====
Subgroup: 2.3.5.7.11.13.17
Comma list: 34/33, 40/39, 45/44, 50/49, 56/55
Mapping: [{{val| 2 0 11 12 7 17 5 }}, {{val| 0 1 -2 -2 0 -3 1 }}]
POTE generator: ~3/2 = 708.544
Optimal GPV sequence: {{Val list| 10, 12f, 22ef }}
Badness: 0.017592


=== Hemipaj ===
=== Hemipaj ===