Semaphoresmic clan: Difference between revisions

+godzilla +superpelog
POTE -> CTE
Line 16: Line 16:
: [[gencom]]: [2 7/6; 49/48]
: [[gencom]]: [2 7/6; 49/48]


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~7/4 = 949.615
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~7/4 = 952.2948


{{Optimal ET sequence|legend=1| 5, 14, 19, 24, 67dd, 91dd }}
{{Optimal ET sequence|legend=1| 5, 14, 19, 24, 67dd, 91dd, 115ddd }}


Scales: [[semaphore5]], [[semaphore9]], [[semaphore14]]
Scales: [[semaphore5]], [[semaphore9]], [[semaphore14]]
Line 58: Line 58:
{{Multival|legend=1| 2 8 1 8 -4 -20 }}
{{Multival|legend=1| 2 8 1 8 -4 -20 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8/7 = 252.635
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~7/4 = 948.7959


[[Tuning ranges]]:  
[[Tuning ranges]]:  
* 7- and 9-odd-limit [[diamond monotone]]: ~7/6 = [240.000, 257.143] (1\5 to 3\14)
* 7- and 9-odd-limit [[diamond monotone]]: ~7/4 = [942.857, 960.000] (1\14 to 4\5)
* 7- and 9-odd-limit [[diamond tradeoff]]: ~7/6 = [231.174, 266.871]
* 7- and 9-odd-limit [[diamond tradeoff]]: ~7/4 = [933.129, 968.826]
* 7- and 9-odd-limit diamond monotone and tradeoff: ~7/6 = [240.000, 257.143]
* 7- and 9-odd-limit diamond monotone and tradeoff: ~7/4 = [942.857, 960.000]


{{Optimal ET sequence|legend=1| 5, 14c, 19 }}
{{Optimal ET sequence|legend=1| 5, 14c, 19 }}
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Mapping: {{mapping| 1 0 -4 2 -6 | 0 2 8 1 12 }}
Mapping: {{mapping| 1 0 -4 2 -6 | 0 2 8 1 12 }}


Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 254.027
Optimal tuning (CTE): ~2 = 1\1, ~7/4 = 947.4563


Tuning ranges:  
Tuning ranges:  
* 11-odd-limit diamond monotone: ~7/6 = [252.632, 257.143] (4\19 to 3\14)
* 11-odd-limit diamond monotone: ~7/4 = [942.857, 947.368] (11\14 to 15\19)
* 11-odd-limit diamond tradeoff: ~7/6 = [231.174, 266.871]
* 11-odd-limit diamond tradeoff: ~7/4 = [933.129, 968.826]
* 11-odd-limit diamond monotone and tradeoff: ~7/6 = [252.632, 257.143]
* 11-odd-limit diamond monotone and tradeoff: ~7/4 = [942.857, 947.368]


{{Optimal ET sequence|legend=1| 14c, 19, 33cd, 52cd }}
{{Optimal ET sequence|legend=1| 14c, 19, 33cd }}


Badness: 0.028947
Badness: 0.028947
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Mapping: {{mapping| 1 0 -4 2 -6 -5 | 0 2 8 1 12 11 }}
Mapping: {{mapping| 1 0 -4 2 -6 -5 | 0 2 8 1 12 11 }}


Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 253.603
Optimal tuning (CTE): ~2 = 1\1, ~7/4 = 947.8877


Tuning ranges:  
Tuning ranges:  
* 13- and 15-odd-limit diamond monotone: ~7/6 = 252.632 (4\19)
* 13- and 15-odd-limit diamond monotone: ~7/4 = 947.368 (15\19)
* 13- and 15-odd-limit diamond tradeoff: ~7/6 = [231.174, 289.210]
* 13- and 15-odd-limit diamond tradeoff: ~7/4 = [910.890, 968.826]
* 13- and 15-odd-limit diamond monotone and tradeoff: ~7/6 = 252.632
* 13- and 15-odd-limit diamond monotone and tradeoff: ~7/4 = 947.368


{{Optimal ET sequence|legend=1| 14cf, 19, 33cdff, 52cdff }}
{{Optimal ET sequence|legend=1| 14cf, 19, 33cdff }}


Badness: 0.022503
Badness: 0.022503
Line 112: Line 112:
Mapping: {{mapping| 1 0 -4 2 5 | 0 2 8 1 -2 }}
Mapping: {{mapping| 1 0 -4 2 5 | 0 2 8 1 -2 }}


Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 254.042
Optimal tuning (CTE): ~2 = 1\1, ~7/4 = 948.2089


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


Badness: 0.028510
Badness: 0.028510
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Mapping: {{mapping| 1 0 -4 2 -10 | 0 2 8 1 17 }}
Mapping: {{mapping| 1 0 -4 2 -10 | 0 2 8 1 17 }}


Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 251.079
Optimal tuning (CTE): ~2 = 1\1, ~7/4 = 949.6160


{{Optimal ET sequence|legend=1| 19e, 24, 43de }}
{{Optimal ET sequence|legend=1| 19e, 24, 43de }}
Line 138: Line 138:
Mapping: {{mapping| 1 0 -4 2 -10 -5 | 0 2 8 1 17 11 }}
Mapping: {{mapping| 1 0 -4 2 -10 -5 | 0 2 8 1 17 11 }}


Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 251.165
Optimal tuning (CTE): ~2 = 1\1, ~7/4 = 949.5255


{{Optimal ET sequence|legend=1| 19e, 24, 43de }}
{{Optimal ET sequence|legend=1| 19e, 24, 43de }}
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Mapping: {{mapping| 1 0 -4 2 9 | 0 2 8 1 -7 }}
Mapping: {{mapping| 1 0 -4 2 9 | 0 2 8 1 -7 }}


Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 251.173
Optimal tuning (CTE): ~2 = 1\1, ~8/7 = 949.0311


{{Optimal ET sequence|legend=1| 5, 14ce, 19, 24, 43d }}
{{Optimal ET sequence|legend=1| 5, 19, 24 }}


Badness: 0.035673
Badness: 0.035673
Line 164: Line 164:
Mapping: {{mapping| 1 0 -4 2 9 -5 | 0 2 8 1 -7 11 }}
Mapping: {{mapping| 1 0 -4 2 9 -5 | 0 2 8 1 -7 11 }}


Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 251.198
Optimal tuning (CTE): ~2 = 1\1, ~7/4 = 949.0670


{{Optimal ET sequence|legend=1| 5, 14cef, 19, 24, 43d }}
{{Optimal ET sequence|legend=1| 5, 19, 24 }}


Badness: 0.026703
Badness: 0.026703
Line 179: Line 179:
{{Multival|legend=1| 2 -6 1 -14 -4 19 }}
{{Multival|legend=1| 2 -6 1 -14 -4 19 }}


[[Optimal tuning]] ([[POTE]]): ~2 = 1\1, ~8/7 = 259.952
[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~7/4 = 939.0297


{{Optimal ET sequence|legend=1| 9, 14c, 23d, 37bcd, 60bbccdd }}
{{Optimal ET sequence|legend=1| 9, 14c, 23d, 37bcd, 60bbccdd }}
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Mapping: {{mapping| 1 0 7 2 5 | 0 2 -6 1 -2 }}
Mapping: {{mapping| 1 0 7 2 5 | 0 2 -6 1 -2 }}


Optimal tuning (POTE): ~2 = 1\1, ~8/7 = 259.959
Optimal tuning (CTE): ~2 = 1\1, ~7/4 = 938.4673


{{Optimal ET sequence|legend=1| 9, 14c, 23de, 37bcde }}
{{Optimal ET sequence|legend=1| 9, 14c, 23de, 37bcde }}
Line 199: Line 199:


; Music
; Music
: ''[http://micro.soonlabel.com/MOS/20120418-9mos-mindaugas.mp3 Mindaugas Rex Lithuaniae]'' by [http://chrisvaisvil.com/?p=2267 Chris Vaisvil] (in 5\23 tuning)
: ''[http://micro.soonlabel.com/MOS/20120418-9mos-mindaugas.mp3 Mindaugas Rex Lithuaniae]'' by [[Chris Vaisvil]] ([http://chrisvaisvil.com/?p=2267 blog]) (superpelog[9] in 23edo tuning)


== Negri ==
== Negri ==