Father family: Difference between revisions

Septimal father: note the relation to trienstonic clan
Spell out 1\1 in decimal and note the badness metric being used
Line 13: Line 13:


[[Optimal tuning]]s:  
[[Optimal tuning]]s:  
* [[CTE]]: ~2 = 1\1, ~3/2 = 737.469
* [[CTE]]: ~2 = 1200.000, ~3/2 = 737.469
: [[error map]]: {{val| 0.000 +35.514 +76.218 }}
: [[error map]]: {{val| 0.000 +35.514 +76.218 }}
* [[POTE]]: ~2 = 1\1, ~3/2 = 743.986
* [[POTE]]: ~2 = 1200.000, ~3/2 = 743.986
: error map: {{val| 0.000 +42.031 +69.700 }}
: error map: {{val| 0.000 +42.031 +69.700 }}


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{{Optimal ET sequence|legend=1| 1, 2, 3, 5, 8, 13c, 21bcc }}
{{Optimal ET sequence|legend=1| 1, 2, 3, 5, 8, 13c, 21bcc }}


[[Badness]]: 0.014884
[[Badness]] (Smith): 0.014884


=== Overview to extensions ===
=== Overview to extensions ===
Line 48: Line 48:


[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 727.855
* [[CTE]]: ~2 = 1200.000, ~3/2 = 727.855
: [[error map]]: {{val| 0.000 +25.900 +85.831 +14.739 }}
: [[error map]]: {{val| 0.000 +25.900 +85.831 +14.739 }}
* [[POTE]]: ~2 = 1\1, ~3/2 = 742.002
* [[POTE]]: ~2 = 1200.000, ~3/2 = 742.002
: error map: {{val| 0.000 +40.047 +71.684 +57.180 }}
: error map: {{val| 0.000 +40.047 +71.684 +57.180 }}


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{{Optimal ET sequence|legend=1| 2d, 3d, 5, 8d, 13cd, 21bccdd }}
{{Optimal ET sequence|legend=1| 2d, 3d, 5, 8d, 13cd, 21bccdd }}


[[Badness]]: 0.021312
[[Badness]] (Smith): 0.021312


=== 11-limit ===
=== 11-limit ===
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Optimal tunings:
Optimal tunings:
* CTE: ~2 = 1\1, ~3/2 = 732.209
* CTE: ~2 = 1200.000, ~3/2 = 732.209
* POTE: ~2 = 1\1, ~3/2 = 747.156
* POTE: ~2 = 1200.000, ~3/2 = 747.156


Optimal ET sequence: {{Optimal ET sequence| 2de, 3de, 5, 8d }}
Optimal ET sequence: {{Optimal ET sequence| 2de, 3de, 5, 8d }}


Badness: 0.020589
Badness (Smith): 0.020589


== Mother ==
== Mother ==
Line 88: Line 88:


[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 727.290
* [[CTE]]: ~2 = 1200.000, ~3/2 = 727.290
: [[error map]]: {{val| 0.000 +25.335 +86.396 -23.406 }}
: [[error map]]: {{val| 0.000 +25.335 +86.396 -23.406 }}
* [[POTE]]: ~2 = 1\1, ~3/2 = 721.569
* [[POTE]]: ~2 = 1200.000, ~3/2 = 721.569
: error map: {{val| 0.000 +19.614 +92.118 -11.963 }}
: error map: {{val| 0.000 +19.614 +92.118 -11.963 }}


{{Optimal ET sequence|legend=1| 2, 3, 5 }}
{{Optimal ET sequence|legend=1| 2, 3, 5 }}


[[Badness]]: 0.024152
[[Badness]] (Smith): 0.024152


=== 11-limit ===
=== 11-limit ===
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Optimal tunings:
Optimal tunings:
* CTE: ~2 = 1\1, ~3/2 = 721.699
* CTE: ~2 = 1200.000, ~3/2 = 721.699
* POTE: ~2 = 1\1, ~3/2 = 717.364
* POTE: ~2 = 1200.000, ~3/2 = 717.364


Optimal ET sequence: {{Optimal ET sequence| 2, 3, 5 }}
Optimal ET sequence: {{Optimal ET sequence| 2, 3, 5 }}


Badness: 0.021957
Badness (Smith): 0.021957


== Pater ==
== Pater ==
Line 122: Line 122:


[[Optimal tuning]]s:
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 761.765
* [[CTE]]: ~2 = 1200.000, ~3/2 = 761.765
: [[error map]]: {{val| 0.000 +59.810 +51.921 +22.348 }}
: [[error map]]: {{val| 0.000 +59.810 +51.921 +22.348 }}
* [[POTE]]: ~2 = 1\1, ~3/2 = 753.113
* [[POTE]]: ~2 = 1200.000, ~3/2 = 753.113
: error map: {{val| 0.000 +51.158 +60.574 +65.610 }}
: error map: {{val| 0.000 +51.158 +60.574 +65.610 }}


{{Optimal ET sequence|legend=1| 3, 5d, 8d, 27bbccdd }}
{{Optimal ET sequence|legend=1| 3, 5d, 8d, 27bbccdd }}


[[Badness]]: 0.053001
[[Badness]] (Smith): 0.053001


=== 11-limit ===
=== 11-limit ===
Line 139: Line 139:


Optimal tunings:
Optimal tunings:
* CTE: ~2 = 1\1, ~3/2 = 761.872
* CTE: ~2 = 1200.000, ~3/2 = 761.872
* POTE: ~2 = 1\1, ~3/2 = 751.396
* POTE: ~2 = 1200.000, ~3/2 = 751.396


Optimal ET sequence: {{Optimal ET sequence| 3, 5de, 8d }}
Optimal ET sequence: {{Optimal ET sequence| 3, 5de, 8d }}


Badness: 0.035487
Badness (Smith): 0.035487


[[Category:Temperament families]]
[[Category:Temperament families]]