The Jacobins: Difference between revisions

Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
Cmloegcmluin (talk | contribs)
"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
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Optimal tuning (CTE): ~2.5.11.13 {{monzo|-106 28 -4 15}} = 819.676
Optimal tuning (CTE): ~2.5.11.13 {{monzo|-106 28 -4 15}} = 819.676


Vals: {{EDOs|183, 1789, 3395}}, ...
{{Optimal ET sequence|legend=1|183, 1789, 3395}}, ...


=== 2.5.11.13.29 subgroup ===
=== 2.5.11.13.29 subgroup ===
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[[Optimal tuning]] ([[CTE]]): ~11/8 = 551.370
[[Optimal tuning]] ([[CTE]]): ~11/8 = 551.370


Vals: {{EDOs| 37, 1789 }}
{{Optimal ET sequence|legend=1| 37, 1789 }}


=== Septimal onzonic ===
=== Septimal onzonic ===
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Optimal tuning (CTE): ~11/8 = 551.369
Optimal tuning (CTE): ~11/8 = 551.369


Vals: {{EDOs| 37, 1789 }}
{{Optimal ET sequence|legend=1| 37, 1789 }}


== Estates general ==
== Estates general ==
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[[Optimal tuning]] ([[CTE]]): ~16807/16000 = 83.846
[[Optimal tuning]] ([[CTE]]): ~16807/16000 = 83.846


Vals: {{EDOs|229, 1789}}, ...
{{Optimal ET sequence|legend=1|229, 1789}}, ...


== Pure Bastille ==
== Pure Bastille ==
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Optimal tuning (CTE): ~2.5.11.13 {{Monzo|103 -57 14 -5}} = 694.243
Optimal tuning (CTE): ~2.5.11.13 {{Monzo|103 -57 14 -5}} = 694.243


Vals: {{Val list|1407eff, 1789, 4985eff}}
{{Optimal ET sequence|legend=1|1407eff, 1789, 4985eff}}


== Double Bastille ==
== Double Bastille ==
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[[Optimal tuning]] ([[CTE]]): ~91750400/53094899 = 947.121
[[Optimal tuning]] ([[CTE]]): ~91750400/53094899 = 947.121


Vals: 1789, 2814, ...
{{Optimal ET sequence|legend=1|1789, 2814, }} ...


== French deck ==
== French deck ==
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[[Optimal tuning]] ([[CTE]]): ~134560000/107132311 = 394.757
[[Optimal tuning]] ([[CTE]]): ~134560000/107132311 = 394.757


Vals: {{EDOs|988, 1456, 2444}}, ...
{{Optimal ET sequence|legend=1|988, 1456, 2444}}, ...
== Acrosextilififths ==
== Acrosextilififths ==
Discovered by [[Aura]] and defined as the 159 & 1619 temperament, with prefix acro- denoting the fact that it's a more precise version of sextilififths, with fourth divided into 6 parts in 1619edo just as it is in 159edo.
Discovered by [[Aura]] and defined as the 159 & 1619 temperament, with prefix acro- denoting the fact that it's a more precise version of sextilififths, with fourth divided into 6 parts in 1619edo just as it is in 159edo.
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[[Optimal tuning]] ([[CTE]]): ~1573/1500 = 83.014
[[Optimal tuning]] ([[CTE]]): ~1573/1500 = 83.014


Vals: {{EDOs|159, 1460, 1619, 1778, 3079}}, ...
{{Optimal ET sequence|legend=1|159, 1460, 1619, 1778, 3079}}, ...


=== 17-limit ===
=== 17-limit ===
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[[Optimal tuning]] ([[CTE]]): ~1573/1500 = 83.014
[[Optimal tuning]] ([[CTE]]): ~1573/1500 = 83.014


Vals: {{EDOs|159, 1460, 1619, 1778}}, ..
{{Optimal ET sequence|legend=1|159, 1460, 1619, 1778}}, ..


== Declaration of Rights ==
== Declaration of Rights ==
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Optimal tuning (CTE): ~2552639375/2147483648 = 299.162
Optimal tuning (CTE): ~2552639375/2147483648 = 299.162


Vals: {{EDOs|353, 357, 361, 710, 718, 1789, 1793}}, ...
{{Optimal ET sequence|legend=1|353, 357, 361, 710, 718, 1789, 1793}}, ...


== Eternal Revolutionary ==
== Eternal Revolutionary ==
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Optimal tuning (CTE): ~2.5.11.13 {{monzo|294 -46 7 -57}} = 580.212
Optimal tuning (CTE): ~2.5.11.13 {{monzo|294 -46 7 -57}} = 580.212


Vals: {{EDOs|91, 1698, 1789, 1880, 3669}}, ...
{{Optimal ET sequence|legend=1|91, 1698, 1789, 1880, 3669}}, ...
=== Septimal Eternal Revolutionary===
=== Septimal Eternal Revolutionary===
Subgroup: 2.5.7.11.13
Subgroup: 2.5.7.11.13
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Optima tuning (CTE): ~482745786865234375/344859973188583424 = 580.213
Optima tuning (CTE): ~482745786865234375/344859973188583424 = 580.213


Vals: {{Val list|91d, 1698d, 1789, 1880, 1971cd, 3669}}
{{Optimal ET sequence|legend=1|91d, 1698d, 1789, 1880, 1971cd, 3669}}


=== Hymn (rank-3) ===
=== Hymn (rank-3) ===
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Sval mapping generators: ~2, ~5, ~? = -1625.1946
Sval mapping generators: ~2, ~5, ~? = -1625.1946


Vals: {{Val list|31f, 91d, 1789, 3669}}, ...
{{Optimal ET sequence|legend=1|31f, 91d, 1789, 3669}}, ...


== Silicon ==
== Silicon ==