Hemimean clan: Difference between revisions

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 The name ''tremka'' was initially used for the [[No-sevens subgroup temperaments|no-sevens version]] of 50 &amp; 111 (especially in the 2.3.5.11.13 subgroup), but extending to full 13-limit or higher prime limit does no significant tuning damage, so for that we keep the 2.3.5.11.13 label tremka.
-=== 2.3.5.11 subgroup ===
+=== 7-limit ===
-Subgroup: 2.3.5.11
-[[Comma list]]: 6912/6875, 526153617/524288000
-[[Gencom]]: [2 363/320; 6912/6875 526153617/524288000]
-[[Gencom|Gencom mapping]]: [{{val|1 -4 -2 0 4}}, {{val|0 31 24 0 -3}}]
-[[Mapping|Sval mapping]]: [{{val|1 -4 -2 4}}, {{val|0 31 24 -3}}]
-[[Tp tuning|POL2 generator]]: ~363/320 = 216.182
-{{Optimal ET sequence|legend=1| 11b, 28bbcc, 39bc, 50, 111, 161, 272 }}
-[[Tp tuning #T2 tuning|RMS error]]: 0.3717 cents
-==== 2.3.5.11.13 ====
-Subgroup: 2.3.5.11.13
-[[Comma list]]: 2200/2197, 3267/3250, 6656/6655
-[[Gencom]]: [2 192/169; 2200/2197 3267/3250 6656/6655]
-[[Gencom|Gencom mapping]]: [{{val|1 -4 -2 0 4 1}}, {{val|0 31 24 0 -3 15}}]
-[[Mapping|Sval mapping]]: [{{val|1 -4 -2 4 1}}, {{val|0 31 24 -3 15}}]
-[[Tp tuning|POL2 generator]]: ~192/169 = 216.186
-{{Optimal ET sequence|legend=1| 11b, 28bbccf, 39bc, 50, 111, 272, 383cf }}
-[[Tp tuning #T2 tuning|RMS error]]: 0.3705 cents
-=== Septimal tremka ===
-==== 7-limit ====
 [[Subgroup]]: 2.3.5.7
@@ Line 818: / Line 783: @@
 [[Badness]]: 0.179925
-==== 11-limit ====
+=== 11-limit ===
 Subgroup: 2.3.5.7.11
@@ Line 831: / Line 796: @@
 Badness: 0.068825
-==== 13-limit ====
+=== 13-limit ===
 Subgroup: 2.3.5.7.11.13
@@ Line 844: / Line 809: @@
 Badness: 0.036070
-==== 17-limit ====
+=== 17-limit ===
 Subgroup: 2.3.5.7.11.13.17
@@ Line 857: / Line 822: @@
 Badness: 0.022528
-==== 19-limit ====
+=== 19-limit ===
 Subgroup: 2.3.5.7.11.13.17.19