Xenharmonic Wiki

Cloudy clan: Difference between revisions

← Older editNewer edit →
VisualWikitext
Naming
Switch to Sintel's badness, WE & CWE tunings (1/)
Line 21: Line 21:
: mapping generators: ~15/14, ~3
: mapping generators: ~15/14, ~3


[[Optimal tuning]] ([[POTE]]): ~15/14 = 120.000{{c}}, ~3/2 = 698.696{{c}} (~49/48 = 21.304{{c}})
[[Optimal tuning]]s:
* [[WE]]: ~15/14 = 120.1837{{c}}, ~3/2 = 699.7654{{c}} (~49/48 = 21.3366{{c}})
: [[error map]]: {{val| +1.837 -0.353 -0.753 -3.683 }}
* [[CWE]]: ~15/14 = 120.0000{{c}}, ~3/2 = 698.8236{{c}} (~49/48 = 21.1764{{c}})
: error map: {{val| 0.000 -3.131 -5.137 -8.826 }}


{{Optimal ET sequence|legend=1| 10, 30b, 40, 50, 60, 110d, 170cdd }}
{{Optimal ET sequence|legend=1| 10, 30b, 40, 50, 60, 110d, 170cdd }}


[[Badness]] (Smith): 0.089135
[[Badness]] (Sintel): 2.26


=== 11-limit ===
=== 11-limit ===
Line 34: Line 38:
Mapping: {{mapping| 10 0 39 28 3 | 0 1 -1 0 2 }}
Mapping: {{mapping| 10 0 39 28 3 | 0 1 -1 0 2 }}


Optimal tuning (POTE): ~15/14 = 120.000{{c}}, ~3/2 = 696.791{{c}} (~56/55 = 23.209{{c}})
Optimal tunings:
* WE: ~15/14 = 120.1406{{c}}, ~3/2 = 697.6075{{c}} (~56/55 = 23.2360{{c}})
* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 697.0142{{c}} (~56/55 = 22.9858{{c}})


{{Optimal ET sequence|legend=0| 10, 30be, 40, 50 }}
{{Optimal ET sequence|legend=0| 10, 40, 50 }}


Badness (Smith): 0.063900
Badness (Sintel): 2.11


==== 13-limit ====
==== 13-limit ====
Line 47: Line 53:
Mapping: {{mapping| 10 0 39 28 3 37 | 0 1 -1 0 2 0 }}
Mapping: {{mapping| 10 0 39 28 3 37 | 0 1 -1 0 2 0 }}


Optimal tuning (POTE): ~15/14 = 120.000{{c}}, ~3/2 = 696.993{{c}} (~78/77 = 23.007{{c}})
Optimal tunings:
* WE: ~15/14 = 120.1166{{c}}, ~3/2 = 697.6705{{c}} (~78/77 = 23.0289{{c}})
* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 697.1492{{c}} (~78/77 = 22.8508{{c}})


{{Optimal ET sequence|legend=0| 10, 30be, 40, 50 }}
{{Optimal ET sequence|legend=0| 10, 40, 50 }}


Badness (Smith): 0.036880
Badness (Sintel): 1.52


==== 17-limit ====
==== 17-limit ====
Line 60: Line 68:
Mapping: {{mapping| 10 0 39 28 3 37 25 | 0 1 -1 0 2 0 1 }}
Mapping: {{mapping| 10 0 39 28 3 37 25 | 0 1 -1 0 2 0 1 }}


Optimal tuning (POTE): ~15/14 = 120.000{{c}}, ~3/2 = 697.085{{c}} (~78/77 = 22.915{{c}})
Optimal tunings:
* WE: ~15/14 = 120.1262{{c}}, ~3/2 = 697.8185{{c}} (~78/77 = 22.9388{{c}})
* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 697.2757{{c}} (~78/77 = 22.7243{{c}})


{{Optimal ET sequence|legend=0| 10, 30beg, 40, 50 }}
{{Optimal ET sequence|legend=0| 10, 40, 50 }}


Badness (Smith): 0.025064
Badness (Sintel): 1.28


=== Splendecic ===
=== Splendecic ===
Line 75: Line 85:
Mapping: {{mapping| 10 0 39 28 82 | 0 1 -1 0 -3 }}
Mapping: {{mapping| 10 0 39 28 82 | 0 1 -1 0 -3 }}


Optimal tuning (POTE): ~15/14 = 120.000{{c}}, ~3/2 = 698.518{{c}} (~99/98 = 21.482{{c}})
Optimal tunings:
* WE: ~15/14 = 120.1874{{c}}, ~3/2 = 699.6085{{c}} (~99/98 = 21.5156{{c}})
* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 698.3531{{c}} (~99/98 = 21.6469{{c}})


{{Optimal ET sequence|legend=0| 10e, 30bee, 40e, 50, 60e, 110de }}
{{Optimal ET sequence|legend=0| 10e, 40e, 50, 60e, 110de, 170cddee }}


Badness (Smith): 0.059802
Badness (Sintel): 1.98


==== 13-limit ====
==== 13-limit ====
Line 88: Line 100:
Mapping: {{mapping| 10 0 39 28 82 37 | 0 1 -1 0 -3 0 }}
Mapping: {{mapping| 10 0 39 28 82 37 | 0 1 -1 0 -3 0 }}


Optimal tuning (POTE): ~15/14 = 120.000{{c}}, ~3/2 = 698.365{{c}} (~91/90 = 21.635{{c}})
Optimal tunings:
* WE: ~15/14 = 120.1565{{c}}, ~3/2 = 699.2756{{c}} (~91/90 = 21.6631{{c}})
* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 698.2480{{c}} (~91/90 = 21.7520{{c}})


{{Optimal ET sequence|legend=0| 10e, 30bee, 40e, 50, 60e, 110de }}
{{Optimal ET sequence|legend=0| 10e, 40e, 50, 60e, 110de }}


Badness (Smith): 0.037989
Badness (Sintel): 1.57


==== 17-limit ====
==== 17-limit ====
Line 101: Line 115:
Mapping: {{mapping| 10 0 39 28 82 37 25 | 0 1 -1 0 -3 0 1 }}
Mapping: {{mapping| 10 0 39 28 82 37 25 | 0 1 -1 0 -3 0 1 }}


Optimal tuning (POTE): ~15/14 = 120.000{{c}}, ~3/2 = 698.375{{c}} (~91/90 = 21.625{{c}})
Optimal tunings:
* WE: ~15/14 = 120.1571{{c}}, ~3/2 = 699.2892{{c}} (~91/90 = 21.6536{{c}})
* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 698.3144{{c}} (~91/90 = 21.6856{{c}})


{{Optimal ET sequence|legend=0| 10e, 30beeg, 40e, 50, 60e, 110deg }}
{{Optimal ET sequence|legend=0| 10e, 50, 60e, 110deg }}


Badness (Smith): 0.026050
Badness (Sintel): 1.33


=== Prodecic ===
=== Prodecic ===
Line 116: Line 132:
Mapping: {{mapping| 10 0 39 28 -13 | 0 1 -1 0 3 }}
Mapping: {{mapping| 10 0 39 28 -13 | 0 1 -1 0 3 }}


Optimal tuning (POTE): ~15/14 = 120.000{{c}}, ~3/2 = 700.210{{c}} (~55/54 = 19.790{{c}})
Optimal tunings:
* WE: ~15/14 = 120.2024{{c}}, ~3/2 = 701.3908{{c}} (~55/54 = 19.8237{{c}})
* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 700.5235{{c}} (~55/54 = 19.4765{{c}})


{{Optimal ET sequence|legend=0| 10, 40ee, 50e, 60e }}
{{Optimal ET sequence|legend=0| 10, 50e, 60e }}


Badness (Smith): 0.066600
Badness (Sintel): 2.20


==== 13-limit ====
==== 13-limit ====
Line 129: Line 147:
Mapping: {{mapping| 10 0 39 28 -13 37 | 0 1 -1 0 3 0 }}
Mapping: {{mapping| 10 0 39 28 -13 37 | 0 1 -1 0 3 0 }}


Optimal tuning (POTE): ~15/14 = 120.000{{c}}, ~3/2 = 700.503{{c}} (~91/90 = 19.497{{c}})
Optimal tunings:
* WE: ~15/14 = 120.1654{{c}}, ~3/2 = 701.4683{{c}} (~91/90 = 19.5242{{c}})
* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 700.7175{{c}} (~91/90 = 19.2825{{c}})


{{Optimal ET sequence|legend=0| 10, 40ee, 50e, 60e }}
{{Optimal ET sequence|legend=0| 10, 50e, 60e }}


Badness (Smith): 0.041788
Badness (Sintel): 1.73


==== 17-limit ====
==== 17-limit ====
Line 142: Line 162:
Mapping: {{mapping| 10 0 39 28 -13 37 25 | 0 1 -1 0 3 0 1 }}
Mapping: {{mapping| 10 0 39 28 -13 37 25 | 0 1 -1 0 3 0 1 }}


Optimal tuning (POTE): ~15/14 = 1\10, ~3/2 = 700.474 (~91/90 = 19.526)
Optimal tunings:
* WE: ~15/14 = 120.1577{{c}}, ~3/2 = 701.3950{{c}} (~91/90 = 19.5514{{c}})
* CWE: ~15/14 = 120.0000{{c}}, ~3/2 = 700.6932{{c}} (~91/90 = 19.3068{{c}})


{{Optimal ET sequence|legend=0| 10, 40ee, 50e, 60e }}
{{Optimal ET sequence|legend=0| 10, 50e, 60e }}


Badness (Smith): 0.027590
Badness (Sintel): 1.41


== Pentadecal ==
== Pentadecal ==
Retrieved from "https://en.xen.wiki/w/Cloudy_clan"