Xenharmonic Wiki

Tetracot family: Difference between revisions

← Older editNewer edit →
VisualWikitext
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,030 edits
No edit summary
Xenllium (talk | contribs)
autopatrolled, emailconfirmed
5,030 edits
No edit summary
Line 418: Line 418:
{{Multival|legend=1| 8 18 11 10 -5 -25 }}
{{Multival|legend=1| 8 18 11 10 -5 -25 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~21/20 = 88.076
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~21/20 = 88.023


{{Optimal ET sequence|legend=1| 14c, 27, 41, 68, 109 }}
{{Optimal ET sequence|legend=1| 14c, 27, 41, 68, 109, 150, 259, 409bc, 668bbcc }}


[[Badness]]: 0.033845
[[Badness]]: 0.033845
Line 431: Line 431:
Mapping: {{mapping| 1 1 1 2 2 | 0 8 18 11 20 }}
Mapping: {{mapping| 1 1 1 2 2 | 0 8 18 11 20 }}


Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 87.975
Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 87.910


{{Optimal ET sequence|legend=1| 27e, 41, 109e, 150e, 191e }}
Optimal ET sequence: {{Optimal ET sequence| 14c, 27e, 41, 150ee, 191ee, 232cee }}


Badness: 0.024078
Badness: 0.024078
Line 444: Line 444:
Mapping: {{mapping| 1 1 1 2 2 4 | 0 8 18 11 20 -4 }}
Mapping: {{mapping| 1 1 1 2 2 4 | 0 8 18 11 20 -4 }}


Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 88.106
Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 87.926


{{Optimal ET sequence|legend=1| 27e, 41, 68e, 109ef }}
Optimal ET sequence: {{Optimal ET sequence| 14c, 27e, 41, 150eef, 191eeff, 232ceeff }}


Badness: 0.023276
Badness: 0.023276
Line 457: Line 457:
Mapping: {{mapping| 1 1 1 2 2 4 3 | 0 8 18 11 20 -4 15 }}
Mapping: {{mapping| 1 1 1 2 2 4 3 | 0 8 18 11 20 -4 15 }}


Optimal tuning (POTE): ~2 = 1\1, ~18/17 = 88.102
Optimal tuning (CTE): ~2 = 1\1, ~18/17 = 87.842


{{Optimal ET sequence|legend=1| 14c, 27eg, 41, 68egg, 109efgg }}
Optimal ET sequence: {{Optimal ET sequence| 14c, 27eg, 41 }}


Badness: 0.021088
Badness: 0.021088
Line 470: Line 470:
Mapping: {{mapping| 1 1 1 2 2 4 3 3 | 0 8 18 11 20 -4 15 17 }}
Mapping: {{mapping| 1 1 1 2 2 4 3 3 | 0 8 18 11 20 -4 15 17 }}


Optimal tuning (POTE): ~2 = 1\1, ~18/17 = 88.111
Optimal tuning (CTE): ~2 = 1\1, ~18/17 = 87.866


{{Optimal ET sequence|legend=1| 14c, 27eg, 41, 68egg, 109efgg }}
Optimal ET sequence: {{Optimal ET sequence| 14c, 27eg, 41 }}


Badness: 0.016652
Badness: 0.016652
Line 483: Line 483:
Mapping: {{mapping| 1 1 1 2 2 2 | 0 8 18 11 20 23 }}
Mapping: {{mapping| 1 1 1 2 2 2 | 0 8 18 11 20 23 }}


Optimal tuning (POTE): ~2 = 1\1, ~21/20 = 88.179
Optimal tuning (CTE): ~2 = 1\1, ~21/20 = 88.090


{{Optimal ET sequence|legend=1| 27e, 41f, 68ef }}
Optimal ET sequence: {{Optimal ET sequence| 14cf, 27e, 41f, 68ef, 109eff }}


Badness: 0.027601
Badness: 0.027601
===== 17-limit =====
Subgroup: 2.3.5.7.11.13.17
Comma list: 52/51, 78/77, 91/90, 100/99, 189/187
Mapping: {{mapping| 1 1 1 2 2 2 3 | 0 8 18 11 20 23 15 }}
Optimal tuning (CTE): ~2 = 1\1, ~18/17 = 88.011
Optimal ET sequence: {{Optimal ET sequence| 14cf, 27eg, 41f, 109effgg }}
Badness: 0.023345
===== 19-limit =====
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 52/51, 78/77, 91/90, 100/99, 133/132, 189/187
Mapping: {{mapping| 1 1 1 2 2 2 3 3 | 0 8 18 11 20 23 15 17 }}
Optimal tuning (CTE): ~2 = 1\1, ~18/17 = 88.017
Optimal ET sequence: {{Optimal ET sequence| 14cf, 27eg, 41f, 109effgg }}
Badness: 0.017916


==== Octopod ====
==== Octopod ====
Retrieved from "https://en.xen.wiki/w/Tetracot_family"