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No-threes subgroup temperaments: Difference between revisions

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"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence
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[[Optimal tuning]] ([[POTE]]): ~8/7 = 226.910
[[Optimal tuning]] ([[POTE]]): ~8/7 = 226.910


{{Val list|legend=1| 5, 11c, 16, 21, 37 }}
{{Optimal ET sequence|legend=1| 5, 11c, 16, 21, 37 }}


=== 2.5.7.11 subgroup ===
=== 2.5.7.11 subgroup ===
Line 34: Line 34:
Optimal tuning (POTE): ~8/7 = 227.114
Optimal tuning (POTE): ~8/7 = 227.114


Optimal GPV sequence: {{Val list| 16, 21, 37 }}
{{Optimal ET sequence|legend=1| 16, 21, 37 }}


=== 2.5.7.11.13 subgroup ===
=== 2.5.7.11.13 subgroup ===
Line 49: Line 49:
Optimal tuning (POTE): ~8/7 = 227.108
Optimal tuning (POTE): ~8/7 = 227.108


Optimal GPV sequence: {{Val list| 16, 21, 37 }}
{{Optimal ET sequence|legend=1| 16, 21, 37 }}


=== 2.5.7.11.13.17 subgroup ===
=== 2.5.7.11.13.17 subgroup ===
Line 64: Line 64:
Optimal tuning (POTE): ~8/7 = 227.242
Optimal tuning (POTE): ~8/7 = 227.242


Optimal GPV sequence: {{Val list| 16, 21, 37 }}
{{Optimal ET sequence|legend=1| 16, 21, 37 }}


== Didacus ==
== Didacus ==
Line 83: Line 83:
Optimal tuning ([[POTE]]): ~28/25 = 93.772
Optimal tuning ([[POTE]]): ~28/25 = 93.772


{{Val list|legend=1| 6, 19, 25, 31, 37, 99, 130, 161, 353 }}
{{Optimal ET sequence|legend=1| 6, 19, 25, 31, 37, 99, 130, 161, 353 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.2138 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.2138 cents
Line 102: Line 102:
Optimal tuning ([[POTE]]): ~256/245 = 77.205
Optimal tuning ([[POTE]]): ~256/245 = 77.205


{{Val list|legend=1| 31, 47, 78, 109, 140, 171, 202, 233 }}
{{Optimal ET sequence|legend=1| 31, 47, 78, 109, 140, 171, 202, 233 }}


[[Tp tuning #T2 tuning|RMS error]]: 0.0586 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.0586 cents
Line 123: Line 123:
Optimal tuning ([[POTE]]): ~343/320 = 116.291
Optimal tuning ([[POTE]]): ~343/320 = 116.291


{{Val list|legend=1| 10, 21, 31, 134, 165, 196, 227, 485d, 712d, 1197dd }}
{{Optimal ET sequence|legend=1| 10, 21, 31, 134, 165, 196, 227, 485d, 712d, 1197dd }}


=== 2.5.7.13 ===
=== 2.5.7.13 ===
Line 138: Line 138:
Optimal tuning ([[POTE]]): ~14/13 = 116.094
Optimal tuning ([[POTE]]): ~14/13 = 116.094


{{Val list|legend=1| 10, 21, 31}}
{{Optimal ET sequence|legend=1| 10, 21, 31}}


=== 2.5.7.13.17 ===
=== 2.5.7.13.17 ===
Line 153: Line 153:
Optimal tuning ([[POTE]]): ~14/13 = 115.769
Optimal tuning ([[POTE]]): ~14/13 = 115.769


{{Val list|legend=1| 10, 21, 31}}
{{Optimal ET sequence|legend=1| 10, 21, 31}}


=== 2.5.7.13.17.19 ===
=== 2.5.7.13.17.19 ===
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Optimal tuning ([[POTE]]): ~14/13 = 115.716
Optimal tuning ([[POTE]]): ~14/13 = 115.716


{{Val list|legend=1| 10, 21, 31, 52f }}
{{Optimal ET sequence|legend=1| 10, 21, 31, 52f }}


== Pakkanen (rank 3) ==
== Pakkanen (rank 3) ==
Line 177: Line 177:
Optimal tuning ([[TE tuning|TE]]): ~2/1 = 1200.6544, ~5/4 = 380.3004, ~11/8 = 551.9653
Optimal tuning ([[TE tuning|TE]]): ~2/1 = 1200.6544, ~5/4 = 380.3004, ~11/8 = 551.9653


{{Val list|legend=1| 13, 16, 22, 28, 35, 41, 47, 57, 63, 98c }}
{{Optimal ET sequence|legend=1| 13, 16, 22, 28, 35, 41, 47, 57, 63, 98c }}


== Frostburn ==
== Frostburn ==
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Optimal tuning ([[TE tuning|TE]]): ~2/1 = 1200.6817, ~28/25 = 205.0745
Optimal tuning ([[TE tuning|TE]]): ~2/1 = 1200.6817, ~28/25 = 205.0745


{{Val list|legend=1| 29, 35, 41, 47, 88e }}
{{Optimal ET sequence|legend=1| 29, 35, 41, 47, 88e }}


== Yer (rank 3) ==
== Yer (rank 3) ==
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Optimal tuning ([[TE tuning|TE]]): ~2/1 = 1200.4457, ~11/8 = 548.4934, ~16/13 = 358.638
Optimal tuning ([[TE tuning|TE]]): ~2/1 = 1200.4457, ~11/8 = 548.4934, ~16/13 = 358.638


{{Val list|legend=1| 13, 24, 33, 37, 46, 57, 70, 127 }}
{{Optimal ET sequence|legend=1| 13, 24, 33, 37, 46, 57, 70, 127 }}


== Yamablu ==
== Yamablu ==
Line 210: Line 210:
Optimal tuning ([[POTE]]): ~17/13 = 462.9606
Optimal tuning ([[POTE]]): ~17/13 = 462.9606


{{Val list|legend=1| 13, 44, 57, 70}}
{{Optimal ET sequence|legend=1| 13, 44, 57, 70}}


[[Tp tuning #T2 tuning|RMS error]]: 0.4898 cents
[[Tp tuning #T2 tuning|RMS error]]: 0.4898 cents
Line 227: Line 227:
[[Optimal tuning]] ([[POTE]]): ~5120/3773 = 529.003¢  
[[Optimal tuning]] ([[POTE]]): ~5120/3773 = 529.003¢  


{{Val list|legend=1| 93, 431, 338, 524 }}
{{Optimal ET sequence|legend=1| 93, 431, 338, 524 }}


=== 2.5.7.11.13 subgroup ===
=== 2.5.7.11.13 subgroup ===
Line 267: Line 267:
Optimal tuning (POTE): ~11/8 = 551.370
Optimal tuning (POTE): ~11/8 = 551.370


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


== Tricesimoprimal miracloid ==
== Tricesimoprimal miracloid ==
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