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The semisixths family

🔗Gene Ward Smith <gwsmith@svpal.org>

6/6/2004 10:56:38 PM

semisixths 78732/78125 comma
[1199.59, 442.98]

7-limit semisixths family

0: <<7 9 13 -2 1 5|| semisixths {126/125, 245/243}
[1198.39, 443.16]

19: <<7 9 32 -2 31 49|| semimedium {225/224, 78732/78125}
[1200.80, 443.07]

11-limit semisixths family

0: <<7 9 13 31 -2 1 25 5 41 42|| semisixths {126/125, 176/175, 245/243}
[1198.39, 443.16]

-46: <<7 9 13 -15 -2 1 -48 55 -66 -87|| {126/125, 245/243, 385/384}
[1199.44, 443.30]

11-limit semimedium family

0: <<7 9 32 -34 -2 31 -78 49 -110 -206|| semimedium {225/224, 385/384,
78732/78125}
[1200.81, 443.07]

19: <<7 9 32 -15 -2 31 -48 49 -66 -153|| {225/224, 1944/1925, 2560/2541}
[1199.77, 442.82]

🔗Gene Ward Smith <gwsmith@svpal.org>

8/18/2004 1:41:14 PM

family name: semisixths
period: 2
generator: sharp 9/7, flat 162/125, sqrt(5/3)

5-limit

name: semisixths
comma: 78732/78125
mapping: [<1 -1 -1|, <0 7 9|]
poptimal generator: 55/149
TOP period: 1199.588 generator: 442.984
MOS: 5, 8, 11, 19, 27, 46, 65, 84, 149

7-limit

name: sensi
wedgie: <<7 9 13 -2 1 5||
mapping: [<1 -1 -1 -2|, <0 7 9 13|]
7-limit poptimal generator: 44/119
9-limit poptimal generator: 17/46
TOP period: 1198.390 generator: 443.160
TM basis: {126/125, 245/243}
comma sequence: 78732/78125, 126/125
MOS: 5, 9, 11, 19, 27, 46

11-limit

name: semsi
wedgie: <<7 9 13 4 -2 1 -18 5 -22 -34||
mapping: [<1 -1 -1 -2 2|, <0 7 9 13 4|]]
poptimal generator: 27/73
TOP period: 1196.584 generator: 442.492
TM basis: {56/55, 100/99, 245/243}
comma sequence: 78732/78125, 126/125, 100/99
MOS: 5, 8, 11, 19, 27, 46, 73

name: sensi
wedgie: <<7 9 13 31 -2 1 25 5 41 42||
mapping: [<1 -1 -1 -2 -8|, <0 7 9 13 31|]
poptimal generator: 61/165
TOP period: 1198.390 generator: 443.160
TM basis: {126/125, 176/175, 245/243}
comma sequence: 78732/78125, 126/125, 176/175
MOS: 5, 8, 11, 19, 27, 46, 73, 119, 165

name: karate
wedgie: <<7 9 13 -15 -2 1 -48 5 -66 -87||
mapping: [<1 -1 -1 -2 9|, <0 7 9 13 -15|]]
poptimal generator: 17/46
TOP period: 1199.437 generator: 433.301
TM basis: {126/125, 245/243, 385/384}
comma sequence: 78732/78125, 126/125, 385/384
MOS: 5, 8, 11, 19, 27, 46

name: aikido
wedgie: <<7 9 13 12 -2 1 -5 5 -3 -11||
mapping: [<1 -1 -1 -2 -1|, <0 7 9 13 12|]
poptimal generator: 10/27
TOP period: 1205.260 generator: 444.865
TM basis: {55/54, 77/75, 99/98}
comma sequence: 78732/78125, 126/125, 55/54
MOS: 5, 8, 11, 19, 27