Kleismic family: Difference between revisions
m →Cata |
+reduced generators |
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| Line 637: | Line 637: | ||
{{Multival|legend=1| 18 15 -6 -18 -60 -56 }} | {{Multival|legend=1| 18 15 -6 -18 -60 -56 }} | ||
[[Optimal tuning]] ([[POTE]]): ~63/50 = 1\3, ~6/5 = 316.872 | [[Optimal tuning]] ([[POTE]]): ~63/50 = 1\3, ~6/5 = 316.872 (~21/20 = 83.128) | ||
[[Minimax tuning]]: | [[Minimax tuning]]: | ||
| Line 658: | Line 658: | ||
Mapping: {{mapping| 3 0 3 10 8 | 0 6 5 -2 3 }} | Mapping: {{mapping| 3 0 3 10 8 | 0 6 5 -2 3 }} | ||
Optimal tuning (POTE): ~44/35 = 1\3, ~6/5 = 316.881 | Optimal tuning (POTE): ~44/35 = 1\3, ~6/5 = 316.881 (~21/20 = 83.119) | ||
Minimax tuning: | Minimax tuning: | ||
| Line 676: | Line 676: | ||
Mapping: {{mapping| 3 0 3 10 8 0 | 0 6 5 -2 3 14 }} | Mapping: {{mapping| 3 0 3 10 8 0 | 0 6 5 -2 3 14 }} | ||
Optimal tuning (POTE): ~44/35 = 1\3, ~6/5 = 316.9585 | Optimal tuning (POTE): ~44/35 = 1\3, ~6/5 = 316.9585 (~21/20 = 83.0415) | ||
{{Optimal ET sequence|legend=1| 72, 87, 159 }} | {{Optimal ET sequence|legend=1| 72, 87, 159 }} | ||
| Line 689: | Line 689: | ||
Mapping: {{mapping| 3 0 3 10 8 0 -2 | 0 6 5 -2 3 14 18 }} | Mapping: {{mapping| 3 0 3 10 8 0 -2 | 0 6 5 -2 3 14 18 }} | ||
Optimal tuning (POTE): ~34/27 = 1\3, ~6/5 = 316.9082 | Optimal tuning (POTE): ~34/27 = 1\3, ~6/5 = 316.9082 (~21/20 = 83.0918) | ||
{{Optimal ET sequence|legend=1| 72, 159, 231f }} | {{Optimal ET sequence|legend=1| 72, 159, 231f }} | ||
| Line 706: | Line 706: | ||
{{Multival|legend=1| 24 20 16 -24 -42 -19 }} | {{Multival|legend=1| 24 20 16 -24 -42 -19 }} | ||
[[Optimal tuning]] ([[POTE]]): ~25/21 = 1\4, ~6/5 = 316.9999 | [[Optimal tuning]] ([[POTE]]): ~25/21 = 1\4, ~6/5 = 316.9999 (~126/125 = 16.9999) | ||
{{Optimal ET sequence|legend=1| 68, 72, 140, 212, 776cd, 988ccd, 1200ccd }} | {{Optimal ET sequence|legend=1| 68, 72, 140, 212, 776cd, 988ccd, 1200ccd }} | ||
| Line 719: | Line 719: | ||
Mapping: {{mapping| 4 0 4 7 17 | 0 6 5 4 -3 }} | Mapping: {{mapping| 4 0 4 7 17 | 0 6 5 4 -3 }} | ||
Optimal tuning (POTE): ~25/21 = 1\4, ~6/5 = 316.9247 | Optimal tuning (POTE): ~25/21 = 1\4, ~6/5 = 316.9247 (~100/99 = 16.9247) | ||
{{Optimal ET sequence|legend=1| 68, 72, 140, 212, 284, 496ce, 780ccdee }} | {{Optimal ET sequence|legend=1| 68, 72, 140, 212, 284, 496ce, 780ccdee }} | ||
| Line 732: | Line 732: | ||
Mapping: {{mapping| 4 0 4 7 17 0 | 0 6 5 4 -3 14 }} | Mapping: {{mapping| 4 0 4 7 17 0 | 0 6 5 4 -3 14 }} | ||
Optimal tuning (POTE): ~25/21 = 1\4, ~6/5 = 316.9887 | Optimal tuning (POTE): ~25/21 = 1\4, ~6/5 = 316.9887 (~100/99 = 16.9887) | ||
{{Optimal ET sequence|legend=1| 68, 72, 140, 212 }} | {{Optimal ET sequence|legend=1| 68, 72, 140, 212 }} | ||
| Line 745: | Line 745: | ||
Mapping: {{mapping| 4 0 4 7 17 0 10 | 0 6 5 4 -3 14 6 }} | Mapping: {{mapping| 4 0 4 7 17 0 10 | 0 6 5 4 -3 14 6 }} | ||
Optimal tuning (POTE): ~25/21 = 1\4, ~6/5 = 316.9846 | Optimal tuning (POTE): ~25/21 = 1\4, ~6/5 = 316.9846 (~100/99 = 16.9846) | ||
{{Optimal ET sequence|legend=1| 68, 72, 140, 212g }} | {{Optimal ET sequence|legend=1| 68, 72, 140, 212g }} | ||
| Line 994: | Line 994: | ||
{{Multival|legend=1| 54 45 54 -54 -66 -1 }} | {{Multival|legend=1| 54 45 54 -54 -66 -1 }} | ||
[[Optimal tuning]] ([[POTE]]): ~2592/2401 = 1\9, ~6/5 = 317.005 | [[Optimal tuning]] ([[POTE]]): ~2592/2401 = 1\9, ~6/5 = 317.005 (~36/35 = 50.338) | ||
{{Optimal ET sequence|legend=1| 72, 261, 333, 405, 477c, 882c }} | {{Optimal ET sequence|legend=1| 72, 261, 333, 405, 477c, 882c }} | ||
| Line 1,007: | Line 1,007: | ||
Mapping: {{mapping| 9 0 9 11 24 | 0 6 5 6 3 }} | Mapping: {{mapping| 9 0 9 11 24 | 0 6 5 6 3 }} | ||
Optimal tuning (POTE): ~250/231 = 1\9, ~6/5 = 317.010 | Optimal tuning (POTE): ~250/231 = 1\9, ~6/5 = 317.010 (~36/35 = 50.343) | ||
{{Optimal ET sequence|legend=1| 72, 261, 333, 405, 882c }} | {{Optimal ET sequence|legend=1| 72, 261, 333, 405, 882c }} | ||
| Line 1,020: | Line 1,020: | ||
Mapping: {{mapping| 9 0 9 11 24 0 | 0 6 5 6 3 14 }} | Mapping: {{mapping| 9 0 9 11 24 0 | 0 6 5 6 3 14 }} | ||
Optimal tuning (POTE): ~250/231 = 1\9, ~6/5 = 317.086 | Optimal tuning (POTE): ~250/231 = 1\9, ~6/5 = 317.086 (~36/35 = 50.419) | ||
{{Optimal ET sequence|legend=1| 72, 189f, 261, 333, 738cf }} | {{Optimal ET sequence|legend=1| 72, 189f, 261, 333, 738cf }} | ||