Xenharmonic Wiki

Mint temperaments: Difference between revisions

← Older editNewer edit →
VisualWikitext
CompactStar (talk | contribs)
5,020 edits
Removed redundant list at the top so it doesn't need that needs to be updated for every new temp
→Shallowtone: normalize the mapping; complete the data
Line 306: Line 306:
[[Comma list]]: [[Shallowtone comma|295245/262144]]
[[Comma list]]: [[Shallowtone comma|295245/262144]]


{{Mapping|legend=1|1 1 8|0 1 -10}}
{{Mapping|legend=1| 1 0 18 | 0 1 -10 }}


Mapping generators: ~2, ~3/2
: mapping generators: ~2, ~3


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 681.801
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 681.8012
* [[CWE]]: ~2 = 1\1, ~3/2 = 682.6617


[[Support]]ing [[ET]]s: {{EDOs|7, 30b, 37b, 44b, 51b, 58bc, 65bbc, 72bbcc, 79bbcc}}
{{Optimal ET sequence|legend=1| 7, 30b, 37b, 44b, 51b, 58bc, 65bbc }}
 
[[Badness]]: 0.666


=== 7-limit ===
=== 7-limit ===
Line 319: Line 323:
[[Comma list]]: 36/35, 295245/262144
[[Comma list]]: 36/35, 295245/262144


{{Mapping|legend=1|1 1 8 -4|0 1 -10 12}}
{{Mapping|legend=1| 1 0 18 -16 | 0 1 -10 12 }}


Mapping generators: ~2, ~3/2
[[Optimal tuning]]s:
* [[CTE]]: ~2 = 1\1, ~3/2 = 681.2780
* [[CWE]]: ~2 = 1\1, ~3/2 = 681.2447


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 681.278
{{Optimal ET sequence|legend=1| 7, 30b, 37b }}


[[Support]]ing [[ET]]s: {{EDOs|7, 30b, 37b}}
[[Badness]]: 0.308


=== 11-limit ===
=== 11-limit ===
[[Subgroup]]: 2.3.5.7.11
Subgroup: 2.3.5.7.11


[[Comma list]]: 36/35, 45/44, 295245/262144
Comma list: 36/35, 45/44, 72171/65536


{{Mapping|legend=1|1 1 8 -4 8|0 1 -10 12 -8}}
Mapping: {{Mapping| 1 0 18 -16 16 | 0 1 -10 12 -8 }}


Mapping generators: ~2, ~3/2
Optimal tunings:
* CTE: ~2 = 1\1, ~3/2 = 681.2538
* CWE: ~2 = 1\1, ~3/2 = 681.3267


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 681.327
Optimal ET sequence: {{Optimal ET sequence| 7, 30b, 37b }}


[[Support]]ing [[ET]]s: {{EDOs|7, 30b, 37b}}
Badness: 0.130


=== 13-limit ===
=== 13-limit ===
[[Subgroup]]: 2.3.5.7.11.13
Subgroup: 2.3.5.7.11.13
 
[[Comma list]]: 36/35, 45/44, 27/26, 34749/32768


{{Mapping|legend=1|1 1 8 -4 8 2|0 1 -10 12 -8 3}}
Comma list: 36/35, 45/44, 27/26, 16731/16384


Mapping generators: ~2, ~3/2
Mapping: {{Mapping| 1 0 18 -16 16 -1 | 0 1 -10 12 -8 3 }}


[[Optimal tuning]] ([[CTE]]): ~2 = 1\1, ~3/2 = 681.267
Optimal tunings:
* CTE: ~2 = 1\1, ~3/2 = 681.2374
* CWE: ~2 = 1\1, ~3/2 = 681.2669


[[Support]]ing [[ET]]s: {{EDOs|7, 30b, 37b}}
Optimal ET sequence: {{Optimal ET sequence| 7, 30b, 37b }}


Badness: 0.0773


[[Category:Temperament collections]]
[[Category:Temperament collections]]
Retrieved from "https://en.xen.wiki/w/Mint_temperaments"