Xenharmonic Wiki

Semaphoresmic clan: Difference between revisions

← Older editNewer edit →
VisualWikitext
m Unify precision. 3 decimal places should be enough.
+missing CTE tunings. +error maps
Line 12: Line 12:
: sval mapping generators: ~2, ~7/4
: sval mapping generators: ~2, ~7/4


{{Mapping|legend=3| 1 2 0 3 | 0 -2 0 -1 }}
{{Mapping|legend=3| 1 0 0 2 | 0 2 0 1 }}


: [[gencom]]: [2 7/6; 49/48]
: [[gencom]]: [2 7/4; 49/48]


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~7/4 = 952.295
* [[CTE]]: ~2 = 1\1, ~7/4 = 952.295
: [[error map]]: {{val| 0.000 +2.635 -16.531 }}
* [[POTE]]: ~2 = 1\1, ~7/4 = 949.615
* [[POTE]]: ~2 = 1\1, ~7/4 = 949.615
: error map: {{val| 0.000 -2.724 -19.211 }}


{{Optimal ET sequence|legend=1| 5, 14, 19, 24, 67dd, 91dd, 115ddd }}
{{Optimal ET sequence|legend=1| 5, 14, 19, 24, 67dd, 91dd, 115ddd }}
Line 65: Line 67:
[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~7/4 = 948.796
* [[CTE]]: ~2 = 1\1, ~7/4 = 948.796
: [[error map]]: {{val| 0.000 -4.363 +4.054 -20.030 }}
* [[POTE]]: ~2 = 1\1, ~7/4 = 947.365
* [[POTE]]: ~2 = 1\1, ~7/4 = 947.365
: error map: {{val| 0.000 -7.225 -7.394 -21.461 }}


[[Tuning ranges]]:  
[[Tuning ranges]]:  
Line 90: Line 94:
* 11-odd-limit diamond tradeoff: ~7/4 = [933.129, 968.826]
* 11-odd-limit diamond tradeoff: ~7/4 = [933.129, 968.826]


{{Optimal ET sequence|legend=1| 14c, 19, 33cd }}
Optimal ET sequence: {{Optimal ET sequence| 14c, 19, 33cd }}


Badness: 0.028947
Badness: 0.028947
Line 109: Line 113:
* 13- and 15-odd-limit diamond tradeoff: ~7/4 = [910.890, 968.826]
* 13- and 15-odd-limit diamond tradeoff: ~7/4 = [910.890, 968.826]


{{Optimal ET sequence|legend=1| 14cf, 19, 33cdff }}
Optimal ET sequence: {{Optimal ET sequence| 14cf, 19, 33cdff }}


Badness: 0.022503
Badness: 0.022503
Line 124: Line 128:
* POTE: ~2 = 1\1, ~7/4 = 945.958
* POTE: ~2 = 1\1, ~7/4 = 945.958


{{Optimal ET sequence|legend=1| 14c, 19e, 33cdee, 52cdeee }}
Optimal ET sequence: {{Optimal ET sequence| 14c, 19e, 33cdee, 52cdeee }}


Badness: 0.028510
Badness: 0.028510
Line 139: Line 143:
* POTE: ~2 = 1\1, ~7/4 = 948.921
* POTE: ~2 = 1\1, ~7/4 = 948.921


{{Optimal ET sequence|legend=1| 19e, 24, 43de }}
Optimal ET sequence: {{Optimal ET sequence| 19e, 24, 43de }}


Badness: 0.039647
Badness: 0.039647
Line 154: Line 158:
* POTE: ~2 = 1\1, ~7/4 = 948.835
* POTE: ~2 = 1\1, ~7/4 = 948.835


{{Optimal ET sequence|legend=1| 19e, 24, 43de }}
Optimal ET sequence: {{Optimal ET sequence| 19e, 24, 43de }}


Badness: 0.025676
Badness: 0.025676
Line 169: Line 173:
* POTE: ~2 = 1\1, ~7/4 = 948.827
* POTE: ~2 = 1\1, ~7/4 = 948.827


{{Optimal ET sequence|legend=1| 5, 19, 24 }}
Optimal ET sequence: {{Optimal ET sequence| 5, 19, 24 }}


Badness: 0.035673
Badness: 0.035673
Line 184: Line 188:
* POTE: ~2 = 1\1, ~7/4 = 948.802
* POTE: ~2 = 1\1, ~7/4 = 948.802


{{Optimal ET sequence|legend=1| 5, 19, 24 }}
Optimal ET sequence: {{Optimal ET sequence| 5, 19, 24 }}


Badness: 0.026703
Badness: 0.026703
Line 201: Line 205:
[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~7/4 = 947.097
* [[CTE]]: ~2 = 1\1, ~7/4 = 947.097
: [[error map]]: {{val| 0.000 -7.761 -4.380 -21.729 }}
* [[CWE]]: ~2 = 1\1, ~7/4 = 947.505
: error map: {{val| 0.000 -6.946 -8.866 -21.321 }}


{{Optimal ET sequence|legend=1| 5c, 14, 19 }}
{{Optimal ET sequence|legend=1| 5c, 14, 19 }}
Line 220: Line 227:
[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~7/4 = 939.030
* [[CTE]]: ~2 = 1\1, ~7/4 = 939.030
: [[error map]]: {{val| 0.000 -23.896 -20.492 -29.796 }}
* [[POTE]]: ~2 = 1\1, ~7/4 = 940.048
* [[POTE]]: ~2 = 1\1, ~7/4 = 940.048
: error map: {{val| 0.000 -21.859 -26.602 -28.778 }}


{{Optimal ET sequence|legend=1| 9, 14c, 23d, 37bcd, 60bbccdd }}
{{Optimal ET sequence|legend=1| 9, 14c, 23d, 37bcd, 60bbccdd }}
Line 237: Line 246:
* POTE: ~2 = 1\1, ~7/4 = 940.041
* POTE: ~2 = 1\1, ~7/4 = 940.041


{{Optimal ET sequence|legend=1| 9, 14c, 23de, 37bcde }}
Optimal ET sequence: {{Optimal ET sequence|| 9, 14c, 23de, 37bcde }}


Badness: 0.028535
Badness: 0.028535
Line 252: Line 261:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~7/4 = 968.739
: [[error map]]: {{val| 0.000 +35.523 +76.208 -0.087 }}
* [[POTE]]: ~2 = 1\1, ~7/4 = 973.296
* [[POTE]]: ~2 = 1\1, ~7/4 = 973.296
: error map: {{val| 0.000 +42.644 +69.088 +3.473 }}


{{Multival|legend=1| 2 -2 1 -8 -4 8 }}
{{Multival|legend=1| 2 -2 1 -8 -4 8 }}
Line 268: Line 280:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1\1, ~7/4 = 972.258
* POTE: ~2 = 1\1, ~7/4 = 978.164
* POTE: ~2 = 1\1, ~7/4 = 978.164


{{Optimal ET sequence|legend=1| 5, 11b, 16bc, 27bbcc }}
Optimal ET sequence: {{Optimal ET sequence| 5, 11b }}


Badness: 0.036538
Badness: 0.036538
Line 291: Line 304:
[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~16/15 = 125.396
* [[CTE]]: ~2 = 1\1, ~16/15 = 125.396
: [[error map]]: {{val| 0.000 -3.539 -10.126 }}
* [[POTE]]: ~2 = 1\1, ~16/15 = 125.755
* [[POTE]]: ~2 = 1\1, ~16/15 = 125.755
: error map: {{val| 0.000 -4.975 -9.049 }}


{{Optimal ET sequence|legend=1| 9, 10, 19, 67c, 86c, 105c }}
{{Optimal ET sequence|legend=1| 9, 10, 19, 67c, 86c, 105c }}
Line 308: Line 323:
[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~15/14 = 124.813
* [[CTE]]: ~2 = 1\1, ~15/14 = 124.813
: [[error map]]: {{val| 0.000 -1.209 -11.874 -18.453 }}
* [[POTE]]: ~2 = 1\1, ~15/14 = 125.608
* [[POTE]]: ~2 = 1\1, ~15/14 = 125.608
: error map: {{val| 0.000 -4.387 -9.490 -20.042 }}


{{Optimal ET sequence|legend=1| 9, 10, 19, 48d, 67cdd, 86cdd }}
{{Optimal ET sequence|legend=1| 9, 10, 19, 48d, 67cdd, 86cdd }}
Line 527: Line 544:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~16/15 = 81.345
: [[error map]]: {{val| 0.000 +9.975 +20.411 -12.861 }}
* [[POTE]]: ~2 = 1\1, ~16/15 = 80.954
* [[POTE]]: ~2 = 1\1, ~16/15 = 80.954
: error map: {{val| 0.000 +12.322 +18.456 -11.688 }}


{{Optimal ET sequence|legend=1| 14, 15, 44cd }}
{{Optimal ET sequence|legend=1| 14, 15 }}


[[Badness]]: 0.129339
[[Badness]]: 0.129339
Line 541: Line 561:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1\1, ~16/15 = 80.908
* POTE: ~2 = 1\1, ~16/15 = 80.817
* POTE: ~2 = 1\1, ~16/15 = 80.817


{{Optimal ET sequence|legend=1| 14e, 15 }}
Optimal ET sequence: {{Optimal ET sequence| 14e, 15 }}


Badness: 0.069398
Badness: 0.069398
Line 555: Line 576:


Optimal tunings:  
Optimal tunings:  
* CTE: ~2 = 1\1, ~16/15 = 81.320
* POTE: ~2 = 1\1, ~16/15 = 81.024
* POTE: ~2 = 1\1, ~16/15 = 81.024


{{Optimal ET sequence|legend=1| 14e, 15, 44cdeff }}
Optimal ET sequence: {{Optimal ET sequence| 14e, 15 }}


Badness: 0.048553
Badness: 0.048553
Retrieved from "https://en.xen.wiki/w/Semaphoresmic_clan"