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No-fives subgroup temperaments: Difference between revisions

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Added optimal ET sequences
Francium (talk | contribs)
4,816 edits
Added optimal ET sequences
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[[Optimal tuning]] ([[CTE]]): ~{{monzo|17 343 143}} = 851.248
[[Optimal tuning]] ([[CTE]]): ~{{monzo|17 343 143}} = 851.248
{{Optimal ET sequence|legend=1| 320, 1163bdd, 1483bd, 1803, 2123, 4566, 6689 }}


=== 2.3.7.13 subgroup ===
=== 2.3.7.13 subgroup ===
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Optimal tuning (CTE): ~1235079060111/755603996672 = 851.248
Optimal tuning (CTE): ~1235079060111/755603996672 = 851.248
{{Optimal ET sequence|legend=1| 320, 1163bdd, 1483bd, 1803, 2123, 4566, 6689 }}


=== 2.3.7.13.17 subgroup ===
=== 2.3.7.13.17 subgroup ===
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Optimal tuning (CTE): ~6144/3757 = 851.248
Optimal tuning (CTE): ~6144/3757 = 851.248
{{Optimal ET sequence|legend=1| 320, 1483bd, 1803, 2123 }}


=== 2.3.7.13.17.19 subgroup ===
=== 2.3.7.13.17.19 subgroup ===
Subgroup: 2.3.7.13.17
Subgroup: 2.3.7.13.17.19


Comma list: 10081799/10077696, 39337984/39328497, 10754912/10744731, 480024727/480020256
Comma list: 10081799/10077696, 39337984/39328497, 10754912/10744731, 480024727/480020256
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Optimal tuning (CTE): ~6144/3757 = 851.248
Optimal tuning (CTE): ~6144/3757 = 851.248
{{Optimal ET sequence|legend=1| 320, 1483bd, 1803, 2123 }}


== Sematology ==
== Sematology ==
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[[POTE generator]]: ~[[37/32]] = 249.075
[[POTE generator]]: ~[[37/32]] = 249.075
{{Optimal ET sequence|legend=1| 5, 14, 19, 24, 53, 77, 130 }}


=== 2.3.7.37 subgroup ===
=== 2.3.7.37 subgroup ===
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[[POTE generator]]: ~[[37/32]] = 247.782
[[POTE generator]]: ~[[37/32]] = 247.782
{{Optimal ET sequence|legend=1| 5, 14, 19, 24, 53d }}


=== 2.3.5.37 subgroup ===
=== 2.3.5.37 subgroup ===
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[[POTE generator]]: ~[[37/32]] = 251.393
[[POTE generator]]: ~[[37/32]] = 251.393
{{Optimal ET sequence|legend=1| 5, 14c, 19, 43, 62 }}


=== 2.3.5.7.37 subgroup ===
=== 2.3.5.7.37 subgroup ===
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[[POTE generator]]: ~[[37/32]] = 251.204
[[POTE generator]]: ~[[37/32]] = 251.204
{{Optimal ET sequence|legend=1| 5, 14c, 19 }}


== Reversed mavila ==
== Reversed mavila ==
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[[POTE generator]]: ~4/3 = 521.397
[[POTE generator]]: ~4/3 = 521.397
{{Optimal ET sequence|legend=1| 5l, 7l, 9, 16l }}


== Aerophore ==
== Aerophore ==
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[[POTE generator]]: ~[[19/11]] = 945.4
[[POTE generator]]: ~[[19/11]] = 945.4


[[Support]]ing [[ET]]s: 14, 5[+11, +19], 19, 33, 9[-11, -19], 47[-11, -19], 24[+11, +19], 52, 23[--11, --19], 61[-3, -11, -19], 43[+11, +19], 71[-3], 37[-3, --11, --19], 80[-3, -11, -19]
{{Optimal ET sequence|legend=1| 9eehh, 14, 19, 33 }}


=== Semaerophore ===
=== Semaerophore ===
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[[POTE generator]]: ~[[7/4]] = 944.667
[[POTE generator]]: ~[[7/4]] = 944.667


[[Support]]ing [[ET]]s: 14, 5[+11, +19], 19, 9[-11, -19], 33[-7], 47[-7, -11, -19], 23[-7, --11, --19], 61[-3, -7, -11, -19], 37[-3, -7, --11, --19], 75[-3, --7, -11, --19], 89[-3, --7, --11, --19]
{{Optimal ET sequence|legend=1| 9eehh, 14, 33d, 47deh }}


== Ultraflattone ==
== Ultraflattone ==
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[[CTE tuning|CTE generator]]: ~[[3/2]] = 688.391
[[CTE tuning|CTE generator]]: ~[[3/2]] = 688.391


[[Support]]ing [[ET]]s: 7, 5, 9, 12[+13], 11[-13], 16, 8[+13], 19[+13], 17[+13], 13[-3, -13], 23, 26[+13], 20[-3, -13], 25[-3, -13]
{{Optimal ET sequence|legend=1| 5, 7 }}


== Porpoise ==
== Porpoise ==
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[[CTE tuning|CTE generator]]: ~32/29 = 166.067
[[CTE tuning|CTE generator]]: ~32/29 = 166.067


[[Support]]ing [[ET]]s: 29, 7, 36, 22, 65, 15, 8, 51, 43, 6[-3], 50, 37, 13[-3], 9[+3]
{{Optimal ET sequence|legend=1| 7, 22, 29, 94, 123, 152j, 275jj, 427jjj }}


[[Category:Temperament collections]]
[[Category:Temperament collections]]
[[Category:Subgroup temperaments]]
[[Category:Subgroup temperaments]]
[[Category:Rank 2]]
[[Category:Rank 2]]
Retrieved from "https://en.xen.wiki/w/No-fives_subgroup_temperaments"