Mint temperaments: Difference between revisions

Shallowtone: normalize the mapping; complete the data
Shallowtone: -5-limit
Line 301: Line 301:
[[Badness]]: 0.046882
[[Badness]]: 0.046882


== Shallowtone ==  
== Shallowtone ==
[[Subgroup]]: 2.3.5
:''For the 5-limit version of this temperament, see [[Syntonic-chromatic equivalence continuum]].''


[[Comma list]]: [[Shallowtone comma|295245/262144]]
{{Mapping|legend=1| 1 0 18 | 0 1 -10 }}
: mapping generators: ~2, ~3
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 681.8012
* [[CWE]]: ~2 = 1\1, ~3/2 = 682.6617
{{Optimal ET sequence|legend=1| 7, 30b, 37b, 44b, 51b, 58bc, 65bbc }}
[[Badness]]: 0.666
=== 7-limit ===
[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7


Line 351: Line 336:
Subgroup: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13


Comma list: 36/35, 45/44, 27/26, 16731/16384
Comma list: 27/26, 36/35, 45/44, 16731/16384


Mapping: {{Mapping| 1 0 18 -16 16 -1 | 0 1 -10 12 -8 3 }}
Mapping: {{Mapping| 1 0 18 -16 16 -1 | 0 1 -10 12 -8 3 }}