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Limmic temperaments: Difference between revisions

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Switch to Sintel's badness, WE & CWE tunings, per community consensus
m →Blackweed: this is a restriction of undecimal blackwood
 
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* [[CWE]]: ~8/7 = 240.000{{c}}, ~5/4 = 395.126{{c}}
* [[CWE]]: ~8/7 = 240.000{{c}}, ~5/4 = 395.126{{c}}
: error map: {{val| 0.000 +18.045 +8.812 }}
: error map: {{val| 0.000 +18.045 +8.812 }}
<!-- * [[CTE]]: ~9/8 = 240.000{{c}}, ~5/4 = 386.314{{c}}
: [[error map]]: {{val| 0.000 +18.045 0.000 }}
* [[POTE]]: ~9/8 = 240.000{{c}}, ~5/4 = 399.594{{c}}
: error map: {{val| 0.000 +18.045 +13.280 }} -->


{{Optimal ET sequence|legend=1| 5, 10, 15 }}
{{Optimal ET sequence|legend=1| 5, 10, 15 }}
Line 50: Line 46:
* [[CWE]]: ~8/7 = 240.000{{c}}, ~5/4 = 391.098{{c}}
* [[CWE]]: ~8/7 = 240.000{{c}}, ~5/4 = 391.098{{c}}
: error map: {{val| 0.000 +18.045 +4.784 -8.826 }}
: error map: {{val| 0.000 +18.045 +4.784 -8.826 }}
<!-- * [[CTE]]: ~8/7 = 240.000{{c}}, ~5/4 = 386.313{{c}}
: [[error map]]: {{val| 0.000 +18.045 0.000 -8.826 }}
* [[POTE]]: ~8/7 = 240.000{{c}}, ~5/4 = 392.767{{c}}
: error map: {{val| 0.000 +18.045 +6.454 -8.826 }} -->


{{Optimal ET sequence|legend=1| 5, 10, 15, 40b }}
{{Optimal ET sequence|legend=1| 5, 10, 15, 40b }}
Line 69: Line 61:
* WE: ~8/7 = 239.341{{c}}, ~5/4 = 393.864{{c}}
* WE: ~8/7 = 239.341{{c}}, ~5/4 = 393.864{{c}}
* CWE: ~8/7 = 240.000{{c}}, ~5/4 = 394.655{{c}}
* CWE: ~8/7 = 240.000{{c}}, ~5/4 = 394.655{{c}}
<!-- * POTE: ~8/7 = 240.000{{c}}, ~5/4 = 394.948{{c}} -->


{{Optimal ET sequence|legend=0| 5, 10, 15, 40be }}
{{Optimal ET sequence|legend=0| 5, 10, 15, 40be }}
Line 85: Line 76:
* WE: ~8/7 = 239.187{{c}}, ~5/4 = 389.713{{c}}
* WE: ~8/7 = 239.187{{c}}, ~5/4 = 389.713{{c}}
* CWE: ~8/7 = 240.000{{c}}, ~5/4 = 390.282{{c}}
* CWE: ~8/7 = 240.000{{c}}, ~5/4 = 390.282{{c}}
<!-- * POTE: ~8/7 = 240.000{{c}}, ~5/4 = 391.037{{c}} -->


{{Optimal ET sequence|legend=0| 5, 10, 15, 25e }}
{{Optimal ET sequence|legend=0| 5, 10, 15, 25e }}
Line 101: Line 91:
* WE: ~8/7 = 239.389{{c}}, ~5/4 = 397.056{{c}}
* WE: ~8/7 = 239.389{{c}}, ~5/4 = 397.056{{c}}
* CWE: ~8/7 = 240.000{{c}}, ~5/4 = 396.599{{c}}
* CWE: ~8/7 = 240.000{{c}}, ~5/4 = 396.599{{c}}
<!-- * POTE: ~8/7 = 240.000{{c}}, ~5/4 = 398.070{{c}} -->


{{Optimal ET sequence|legend=0| 5e, 10e, 15 }}
{{Optimal ET sequence|legend=0| 5e, 10e, 15 }}
Line 117: Line 106:
* WE: ~8/7 = 239.196{{c}}, ~5/4 = 395.483{{c}}
* WE: ~8/7 = 239.196{{c}}, ~5/4 = 395.483{{c}}
* CWE: ~8/7 = 240.000{{c}}, ~5/4 = 394.759{{c}}
* CWE: ~8/7 = 240.000{{c}}, ~5/4 = 394.759{{c}}
<!-- * POTE: ~8/7 = 240.000{{c}}, ~5/4 = 396.812{{c}} -->


{{Optimal ET sequence|legend=0| 5e, 10e, 15 }}
{{Optimal ET sequence|legend=0| 5e, 10e, 15 }}
Line 133: Line 121:
* WE: ~8/7 = 239.058{{c}}, ~5/4 = 373.292{{c}}
* WE: ~8/7 = 239.058{{c}}, ~5/4 = 373.292{{c}}
* CWE: ~8/7 = 240.000{{c}}, ~5/4 = 371.659{{c}}
* CWE: ~8/7 = 240.000{{c}}, ~5/4 = 371.659{{c}}
<!-- * POTE: ~8/7 = 240.000{{c}}, ~5/4 = 374.763{{c}} -->


{{Optimal ET sequence|legend=0| 5e, 10 }}
{{Optimal ET sequence|legend=0| 5e, 10 }}
Line 140: Line 127:


== Blackweed ==
== Blackweed ==
Blackweed is a variant of blackwood as it tempers out 256/243 alike but in the 2.3.11/7 [[subgroup]]. 20edo is close to the optimum, which has 4\20 as the period and 420{{c}} as the generator.
Blackweed is a [[restriction]] of undecimal blackwood as it tempers out 256/243 alike but in the 2.3.11/7 [[subgroup]]. 20edo is close to the optimum, which has 4\20 as the period and 420{{c}} as the generator.


[[Subgroup]]: 2.3.11/7
[[Subgroup]]: 2.3.11/7
Line 155: Line 142:
* [[Tp tuning|subgroup]] [[CWE]]: ~8/7 = 240.000{{c}}, ~11/7 = 784.967{{c}}
* [[Tp tuning|subgroup]] [[CWE]]: ~8/7 = 240.000{{c}}, ~11/7 = 784.967{{c}}
: error map: {{val| 0.000 +18.045 +2.475 }}
: error map: {{val| 0.000 +18.045 +2.475 }}
<!-- * ([[Tp tuning|subgroup POTE]]): ~9/8 = 240.0000{{c}}, ~11/7 = 786.2215{{c}} -->


{{Optimal ET sequence|legend=1| 15, 20, 35b, 55b }}
{{Optimal ET sequence|legend=1| 15, 20, 35b, 55b }}
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