Landscape microtemperaments: Difference between revisions

Eliora (talk | contribs)
Septichrome: i'll fill in the rest of the limits later
Septichrome: that was lame
Line 143: Line 143:


=== Semiseptichrome ===
=== Semiseptichrome ===
[[Subgroup]]: 2.3.5.7.11
Subgroup: 2.3.5.7.11


[[Comma list]]: 9801/9800, 759375/758912, 250047/250000
Comma list: 9801/9800, 151263/151250, 234375/234256


{{Mapping|legend=1| 6 1 -15 -24 -32 | 0 5 17 24 31 }}
Mapping: {{mapping| 6 1 -15 -24 -32 | 0 5 17 24 31 }}


: mapping generators: ~55/49= 1\6, ~375/308 = 340.376
: mapping generators: ~55/49, ~375/308


[[Optimal tuning]] ([[CTE]]): ~3400/2793 = 340.376
Optimal tuning (CTE): ~55/49 = 1\6, ~375/308 = 340.3687


[[Support]]ing [[ET]]s: {{EDOs|60e, 282, 342, 624, 966, 1308}}
Optimal ET sequence: {{Optimal ET sequence| 60e, 222cdee, 282, 342, 966, 1308, 1650, 4608b, 6258bc }}


=== 23-limit ===
Badness: 0.0194
[[Subgroup]]: 2.3.5.7.11.13.17.19.23


[[Comma list]]: 936/935, 1716/1715, 2025/2024, 2080/2079, 2376/2375, 2500/2499, 8625/8624
==== 13-limit ====
Subgroup: 2.3.5.7.11.13


{{Mapping|legend=1| 6 1 -15 -24 -32 -68 -1 34 -12 | 0 5 17 24 31 53 15 -5 23}}
Comma list: 1716/1715, 2080/2079, 34398/34375, 85293/85184


: mapping generators:  ~64/57 = 1\6, ~3400/2793 = 340.376
Mapping: {{mapping| 6 1 -15 -24 -32 -68 | 0 5 17 24 31 53 }}


[[Optimal tuning]] ([[CTE]]): ~3400/2793 = 340.376
Optimal tuning (CTE): ~55/49 = 1\6, ~375/308 = 340.3778


[[Support]]ing [[ET]]s: {{EDOs|60eff, 282, 342f, 624}}
Optimal ET sequence: {{Optimal ET sequence| 282, 342f, 624 }}
 
Badness: 0.0397
 
==== 17-limit ====
Subgroup: 2.3.5.7.11.13
 
Comma list: 936/935, 1701/1700, 1716/1715, 2025/2023, 61965/61952
 
Mapping: {{mapping| 6 1 -15 -24 -32 -68 -1 | 0 5 17 24 31 53 15 }}
 
Optimal tuning (CTE): ~55/49 = 1\6, ~375/308 = 340.3763
 
Optimal ET sequence: {{Optimal ET sequence| 282, 342f, 624 }}
 
Badness: 0.0272
 
==== 19-limit ====
Subgroup: 2.3.5.7.11.13
 
Comma list: 936/935, 1701/1700, 1716/1715, 2025/2023, 2376/2375, 23409/23408
 
Mapping: {{mapping| 6 1 -15 -24 -32 -68 -1 34 | 0 5 17 24 31 53 15 -5 }}
 
Optimal tuning (CTE): ~55/49 = 1\6, ~375/308 = 340.3767
 
Optimal ET sequence: {{Optimal ET sequence| 282, 342f, 624 }}
 
Badness: 0.0222
 
==== 23-limit ====
Subgroup: 2.3.5.7.11.13.17.19.23
 
Comma list: 936/935, 1701/1700, 1716/1715, 1863/1862, 2024/2023, 2025/2023, 2376/2375
 
Mapping: {{mapping| 6 1 -15 -24 -32 -68 -1 34 -12 | 0 5 17 24 31 53 15 -5 23 }}
 
Optimal tuning (CTE): ~55/49 = 1\6, ~375/308 = 340.3757
 
Optimal ET sequence: {{Optimal ET sequence| 282, 342f, 624 }}
 
Badness: 0.0160


== Pnict ==
== Pnict ==