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Semihemidemi help!

🔗Gene Ward Smith <gwsmith@svpal.org>

6/30/2004 2:17:30 PM

After proposing 198 as competition for 152 and 176, I decided to check
out 11-limit microtemperaments it supports. I was run down by a crazed
mob of semis and hemis.

I mentione hemigamera and semigamera below; the corresponding 7-limit
99-et system would of course be gamera: <<23 40 1 10 -63 -110||. The
names for systems with 8/7 generators tend to be boring, so I thought
I'd start the ball rolling with Japanese movie monsters. Hemifourths,
supermajor seconds, and supersupermajor could become godzilla, mothra
and rodan if that sounds cool, leaving hystrix and beep as is.

hemiennealimmal
[36, 54, 36, 18, 2, -44, -96, -68, -145, -74] [[18, 28, 41, 50, 62],
[0, 2, 3, 2, 1]]
72 .049207 61.317611

hemiamity
[10, 26, -34, -28, 18, -82, -79, -152, -155, 39] [[2, 1, -1, 13, 13],
[0, 5, 13, -17, -14]]
60 .276106 253.899159

hemigamera
[46, 80, 2, -10, 20, -126, -175, -220, -300, -35] [[2, 12, 20, 6, 5],
[0, -23, -40, -1, 5]]
102 .148153 329.896268

semihemiwuerschmidt
[32, 4, 10, 49, -68, -74, -33, 12, 100, 103] [[1, 15, 4, 7, 24], [0,
-32, -4, -10, -49]]
64 .333461 341.464500

icosidillic
[22, -22, 44, -22, -86, 8, -111, 164, 25, -214] [[22, 35, 51, 62, 76],
[0, -1, 1, -2, 1]]
66 .337818 364.129624

semiparakleismic
[26, 28, 70, 46, -16, 38, -17, 84, 10, -113] [[2, -3, -2, -11, -4],
[0, 13, 14, 35, 23]]
70 .311091 369.871482

semifourths-hemififths
[4, 50, 26, 68, 70, 30, 94, -80, -15, 101] [[2, 4, 15, 11, 21], [0,
-2, -25, -13, -34]]
68 .335467 380.041765

semihemififths
[4, 50, 26, -31, 70, 30, -63, -80, -245, -177] [[1, 1, -5, -1, 8], [0,
4, 50, 26, -31]]
81 .299647 454.379188

[14, 76, -8, 40, 88, -52, 15, -232, -170, 140] [[2, 6, 20, 4, 15], [0,
-7, -38, 4, -20]]
84 .317362 511.313408

semigamera
[46, 80, 2, 89, 20, -126, -18, -220, -70, 243] [[1, 6, 10, 3, 12], [0,
-46, -80, -2, -89]]
92 .289283 542.378831