Compton family: Difference between revisions
Rework to better integrate the lately added description |
+reduced generators |
||
| Line 266: | Line 266: | ||
: mapping generators: ~36/35, ~5 | : mapping generators: ~36/35, ~5 | ||
[[Optimal tuning]] ([[POTE]]): ~36/35 = 1\24, ~5/4 = 384.033 | [[Optimal tuning]] ([[POTE]]): ~36/35 = 1\24, ~5/4 = 384.033 (~81/80 = 15.967) | ||
{{Optimal ET sequence|legend=1| 24, 48, 72, 312bd, 384bcdd, 456bcdd, 528bcdd, 600bccdd }} | {{Optimal ET sequence|legend=1| 24, 48, 72, 312bd, 384bcdd, 456bcdd, 528bcdd, 600bccdd }} | ||
| Line 279: | Line 279: | ||
Mapping: {{mapping| 24 38 0 123 83 | 0 0 1 -1 0 }} | Mapping: {{mapping| 24 38 0 123 83 | 0 0 1 -1 0 }} | ||
Optimal tuning (POTE): ~36/35 = 1\24, ~5/4 = 384.054 | Optimal tuning (POTE): ~36/35 = 1\24, ~5/4 = 384.054 (~121/120 = 15.946) | ||
{{Optimal ET sequence|legend=1| 24, 48, 72, 312bd, 384bcdd, 456bcdde, 528bcdde }} | {{Optimal ET sequence|legend=1| 24, 48, 72, 312bd, 384bcdd, 456bcdde, 528bcdde }} | ||
| Line 292: | Line 292: | ||
Mapping: {{mapping| 24 38 0 123 83 33 | 0 0 1 -1 0 1 }} | Mapping: {{mapping| 24 38 0 123 83 33 | 0 0 1 -1 0 1 }} | ||
Optimal tuning (POTE): ~36/35 = 1\24, ~5/4 = 384.652 | Optimal tuning (POTE): ~36/35 = 1\24, ~5/4 = 384.652 (~121/120 = 15.348) | ||
{{Optimal ET sequence|legend=1| 24, 48f, 72, 168df, 240dff }} | {{Optimal ET sequence|legend=1| 24, 48f, 72, 168df, 240dff }} | ||
| Line 311: | Line 311: | ||
{{Multival|legend=1| 0 36 0 57 0 -101 }} | {{Multival|legend=1| 0 36 0 57 0 -101 }} | ||
[[Optimal tuning]] ([[POTE]]): ~49/48 = 1\36, ~5/4 = 384.764 | [[Optimal tuning]] ([[POTE]]): ~49/48 = 1\36, ~5/4 = 384.764 (~81/80 = 15.236) | ||
{{Optimal ET sequence|legend=1| 36, 72, 252, 324bd, 396bd }} | {{Optimal ET sequence|legend=1| 36, 72, 252, 324bd, 396bd }} | ||
| Line 324: | Line 324: | ||
Mapping: {{mapping| 36 57 0 101 41 | 0 0 1 0 1 }} | Mapping: {{mapping| 36 57 0 101 41 | 0 0 1 0 1 }} | ||
Optimal tuning (POTE): ~49/48 = 1\36, ~5/4 = 384.150 | Optimal tuning (POTE): ~49/48 = 1\36, ~5/4 = 384.150 (~81/80 = 15.850) | ||
{{Optimal ET sequence|legend=1| 36, 72, 396bd, 468bcd, 540bcd, 612bccdd, 684bbccdd, 756bbccdd }} | {{Optimal ET sequence|legend=1| 36, 72, 396bd, 468bcd, 540bcd, 612bccdd, 684bbccdd, 756bbccdd }} | ||
| Line 333: | Line 333: | ||
[[Subgroup]]: 2.3.5.7.11.13 | [[Subgroup]]: 2.3.5.7.11.13 | ||
[[Comma list]]: 225/224, 243/242, 441/440, | [[Comma list]]: 225/224, 243/242, 441/440, 4000/3993 | ||
{{Mapping|legend=1| 72 114 167 202 249 | {{Mapping|legend=1| 72 114 167 202 249 0 | 0 0 0 0 0 1 }} | ||
: mapping generators: ~100/99, ~13 | : mapping generators: ~100/99, ~13 | ||
[[Optimal tuning]] ([[POTE]]): ~100/99 = 1\72, ~13/8 = 837.814 | [[Optimal tuning]] ([[POTE]]): ~100/99 = 1\72, ~13/8 = 837.814 (~364/363 = 4.481) | ||
{{Optimal ET sequence|legend=1| 72, 144, 216c, 288cdf, 504bcdef }} | {{Optimal ET sequence|legend=1| 72, 144, 216c, 288cdf, 504bcdef }} | ||