Landscape microtemperaments: Difference between revisions

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= Sextile =
= Sextile =
[[Comma list]]: 250047/250000, 33554432/33480783
[[Comma list]]: 250047/250000, 33554432/33480783
[[POTE tuning|POTE generator]]: ~3/2 = 702.212


[[Mapping]]: [<6 0 71 150|, <0 1 -6 -14|]
[[Mapping]]: [<6 0 71 150|, <0 1 -6 -14|]


[[Wedgie]]: <<6 -36 -84 -71 -150 -94||
[[Wedgie]]: <<6 -36 -84 -71 -150 -94||
[[POTE tuning|POTE generator]]: ~3/2 = 702.212


{{Val list|legend=1| 12, 258, 270, 1362c, 1632c, 1902c, 2172c }}
{{Val list|legend=1| 12, 258, 270, 1362c, 1632c, 1902c, 2172c }}
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== 11-limit ==
== 11-limit ==
Comma list: 5632/5625, 9801/9800, 151263/151250
Comma list: 5632/5625, 9801/9800, 151263/151250
Mapping: [<6 0 71 150 230|, <0 1 -6 -14 -22|]


POTE generator: ~3/2 = 702.202
POTE generator: ~3/2 = 702.202
Mapping: [<6 0 71 150 230|, <0 1 -6 -14 -22|]


Vals: {{Val list| 12, 270, 822, 1092 }}
Vals: {{Val list| 12, 270, 822, 1092 }}
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= Septichrome =
= Septichrome =
[[Comma list]]: 250047/250000, 2460375/2458624
[[Comma list]]: 250047/250000, 2460375/2458624
[[POTE tuning|POTE generator]]: ~243/224 = 140.367


[[Mapping]]: [<3 3 1 0|, <0 5 17 24|]
[[Mapping]]: [<3 3 1 0|, <0 5 17 24|]


[[Wedgie]]: <<15 51 72 46 72 24||
[[Wedgie]]: <<15 51 72 46 72 24||
[[POTE tuning|POTE generator]]: ~243/224 = 140.367


{{Val list|legend=1| 60, 111, 171, 795, 966, 1137, 1308, 5403b, 6711b }}
{{Val list|legend=1| 60, 111, 171, 795, 966, 1137, 1308, 5403b, 6711b }}
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= Pnict =
= Pnict =
[[Comma list]]: 250047/250000, 2100875/2097152
[[Comma list]]: 250047/250000, 2100875/2097152
[[POTE tuning|POTE generator]]: ~192/175 = 161.399


[[Mapping]]: [<3 10 11 6|, <0 -13 -10 6|]
[[Mapping]]: [<3 10 11 6|, <0 -13 -10 6|]


[[Wedgie]]: <<39 30 -18 -43 -138 -126||
[[Wedgie]]: <<39 30 -18 -43 -138 -126||
[[POTE tuning|POTE generator]]: ~192/175 = 161.399


{{Val list|legend=1| 15, 141, 156, 171 }}
{{Val list|legend=1| 15, 141, 156, 171 }}
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[[Comma list]]: 250047/250000, 645700815/645657712
[[Comma list]]: 250047/250000, 645700815/645657712
[[POTE tuning|POTE generator]]: ~10/9 = 182.467


[[Mapping]]: [<3 -3 -9 -8|, <0 17 35 36|]
[[Mapping]]: [<3 -3 -9 -8|, <0 17 35 36|]


[[Wedgie]]: <<-51 -105 -108 -48 -28 44||
[[Wedgie]]: <<-51 -105 -108 -48 -28 44||
[[POTE tuning|POTE generator]]: ~10/9 = 182.467


{{Val list|legend=1| 171, 1335, 1506, 1677, 1848, 2019, 2190 }}
{{Val list|legend=1| 171, 1335, 1506, 1677, 1848, 2019, 2190 }}


[[Badness]]: 0.013979
[[Badness]]: 0.013979
= Avicenna =
[[Comma list]]: 250047/250000, 29360128/29296875
[[Mapping]]: [<3 2 8 16|, <0 8 -3 -22|]
[[Wedgie]]: <<24 -9 -66 -70 -172 -128||
[[POTE tuning|POTE generator]]: ~1024/945 = 137.768
{{Val list|legend=1| 87, 183, 270, 723, 993, 1263, 2796cd, 4059bccd }}
[[Badness]]: 0.062187
== 11-limit ==
Comma list: 3025/3024, 5632/5625, 102487/102400
Mapping: [<3 2 8 16 9|, <0 8 -3 -22 4|]
POTE generator: ~693/640 = 137.771
Vals: {{Val list| 87, 183, 270, 1263, 1533, 1803c, 2073c }}
Badness: 0.023085
== 13-limit ==
Comma list: 676/675, 1001/1000, 3025/3024, 4096/4095
Mapping: [<3 2 8 16 9 8|, <0 8 -3 -22 4 9|]
POTE generator: ~13/12 = 137.777
Vals: {{Val list| 87, 183, 270 }}
Badness: 0.015557


[[Category:Microtemperament]]
[[Category:Microtemperament]]
[[Category:Landscape]]
[[Category:Landscape]]