Meantone family: Difference between revisions

Experiment with both CTE and CTWE tunings
-meanmag -undevigintone (addressed in 19th-octave temperaments)
Line 2,274: Line 2,274:


Badness: 0.048829
Badness: 0.048829
== Meanmag ==
[[Subgroup]]: 2.3.5.7
[[Comma list]]: 81/80, 3125/3072
[[Mapping]]: [{{val| 19 30 44 0 }}, {{val| 0 0 0 1 }}]
: mapping generators: ~25/24, ~7
{{Multival|legend=1| 0 0 19 0 30 44 }}
[[Optimal tuning]] ([[POTE]]): ~25/24 = 1\19, ~8/7 = 238.396
{{Optimal ET sequence|legend=1| 19, 38, 57, 76, 95bc }}
[[Badness]]: 0.077023
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 81/80, 385/384, 625/616
Mapping: [{{val| 19 30 44 0 119 }}, {{val| 0 0 0 1 -1 }}]
Optimal tuning (POTE): ~25/24 = 1\19, ~8/7 = 233.486
{{Optimal ET sequence|legend=1| 19, 38, 57, 76 }}
Badness: 0.066829
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 81/80, 105/104, 144/143, 625/616
Mapping: [{{val| 19 30 44 0 119 17 }}, {{val| 0 0 0 1 -1 1 }}]
Optimal tuning (POTE): ~25/24 = 1\19, ~8/7 = 234.890
{{Optimal ET sequence|legend=1| 19, 38, 57, 76 }}
Badness: 0.045844
== Undevigintone ==
[[Subgroup]]: 2.3.5.7.11
[[Comma list]]: 49/48, 81/80, 126/125
[[Mapping]]: [{{val| 19 30 44 53 0 }}, {{val| 0 0 0 0 1 }}]
: mapping generators: ~28/27, ~11
[[Optimal tuning]] ([[POTE]]): ~28/27 = 1\19, ~11/8 = 538.047
{{Optimal ET sequence|legend=1| 19, 38d }}
[[Badness]]: 0.036387
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 65/64, 81/80, 126/125
Mapping: [{{val| 19 30 44 53 0 70 }}, {{val| 0 0 0 0 1 0 }}]
Optimal tuning (POTE): ~28/27 = 1\19, ~11/8 = 537.061
{{Optimal ET sequence|legend=1| 19, 38df }}
Badness: 0.022933


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