Mirwomo temperaments: Difference between revisions
m Update |
Switch to WE & CWE tunings |
||
| Line 23: | Line 23: | ||
[[Comma list]]: 33075/32768, 250047/250000 | [[Comma list]]: 33075/32768, 250047/250000 | ||
{{Mapping|legend=1| 3 | {{Mapping|legend=1| 3 -1 6 18 | 0 6 1 -10 }} | ||
: mapping generators: ~63/50, ~ | : mapping generators: ~63/50, ~5/4 | ||
[[Optimal tuning]]s: | [[Optimal tuning]]s: | ||
* [[ | * [[WE]]: ~63/50 = 400.2698{{c}}, ~5/4 = 383.6637{{c}} | ||
* [[CWE]]: ~63/50 = 400. | : [[error map]]: {{val| +0.809 -0.242 -1.031 -0.607 }} | ||
* [[CWE]]: ~63/50 = 400.0000{{c}}, ~5/4 = 383.4090{{c}} | |||
: error map: {{val| 0.000 -1.501 -2.905 -2.916 }} | |||
{{Optimal ET sequence|legend=1| 3, 69, 72 }} | {{Optimal ET sequence|legend=1| 3, 69, 72, 363cdd, 435ccdd, …, 651bcccddd }} | ||
[[Badness]] (Sintel): 4.03 | [[Badness]] (Sintel): 4.03 | ||
| Line 39: | Line 41: | ||
Comma list: 441/440, 4125/4096, 4375/4356 | Comma list: 441/440, 4125/4096, 4375/4356 | ||
Mapping: {{mapping| 3 | Mapping: {{mapping| 3 -1 6 18 19 | 0 6 1 -10 -9 }} | ||
Optimal tunings: | Optimal tunings: | ||
* | * WE: ~44/35 = 400.2557{{c}}, ~5/4 = 383.6664{{c}} | ||
* CWE: ~44/35 = 400. | * CWE: ~44/35 = 400.0000{{c}}, ~5/4 = 383.4138{{c}} | ||
{{Optimal ET sequence|legend=0| 3, 69, 72, 291cde, 363cdde, | {{Optimal ET sequence|legend=0| 3, 69, 72, 291cde, 363cdde, …, 579bccddee }} | ||
Badness (Sintel): 1.75 | Badness (Sintel): 1.75 | ||
| Line 54: | Line 56: | ||
Comma list: 169/168, 364/363, 441/440, 625/624 | Comma list: 169/168, 364/363, 441/440, 625/624 | ||
Mapping: {{mapping| 3 | Mapping: {{mapping| 3 -1 6 18 19 13 | 0 6 1 -10 -9 -2 }} | ||
Optimal tunings: | Optimal tunings: | ||
* | * WE: ~44/35 = 400.3228{{c}}, ~5/4 = 383.7260{{c}} | ||
* CWE: ~44/35 = 400. | * CWE: ~44/35 = 400.0000{{c}}, ~5/4 = 383.4063{{c}} | ||
{{Optimal ET sequence|legend=0| 3, 69, 72 }} | {{Optimal ET sequence|legend=0| 3, 69, 72 }} | ||
Latest revision as of 06:00, 1 May 2026
- This is a list showing technical temperament data. For an explanation of what information is shown here, you may look at the technical data guide for regular temperaments.
This is a collection of rank-2 temperaments tempering out the mirwomo comma, (monzo: [-15 3 2 2⟩, ratio: 33075/32768). For the rank-3 temperament, see Rastmic rank-3 clan #Mirwomo.
Temperaments dicussed elsewhere are:
- Dichotic (+25/24) → Dicot family
- Mohajira (+6144/6125) → Meantone family
- Salsa (+245/243) → Schismatic family
- Anguirus (+49/48) → Diaschismic family
- Monkey (+875/864) → Tetracot family
- Sentinel (+1728/1715) → Orwellismic temperaments
- Miracle (+225/224) → Gamelismic clan
- Zarvo (+4375/4374) → Gravity family
- Worschmidt (+126/125) → Würschmidt family
- Aurora (+1029/1000) → Keegic temperaments
- Whitewood (+36/35) → Whitewood family
- Hours (+19683/19600) → Compton family
Considered below is caleb.
Caleb
Subgroup: 2.3.5.7
Comma list: 33075/32768, 250047/250000
Mapping: [⟨3 -1 6 18], ⟨0 6 1 -10]]
- mapping generators: ~63/50, ~5/4
- WE: ~63/50 = 400.2698 ¢, ~5/4 = 383.6637 ¢
- error map: ⟨+0.809 -0.242 -1.031 -0.607]
- CWE: ~63/50 = 400.0000 ¢, ~5/4 = 383.4090 ¢
- error map: ⟨0.000 -1.501 -2.905 -2.916]
Optimal ET sequence: 3, 69, 72, 363cdd, 435ccdd, …, 651bcccddd
Badness (Sintel): 4.03
11-limit
Subgroup: 2.3.5.7.11
Comma list: 441/440, 4125/4096, 4375/4356
Mapping: [⟨3 -1 6 18 19], ⟨0 6 1 -10 -9]]
Optimal tunings:
- WE: ~44/35 = 400.2557 ¢, ~5/4 = 383.6664 ¢
- CWE: ~44/35 = 400.0000 ¢, ~5/4 = 383.4138 ¢
Optimal ET sequence: 3, 69, 72, 291cde, 363cdde, …, 579bccddee
Badness (Sintel): 1.75
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 169/168, 364/363, 441/440, 625/624
Mapping: [⟨3 -1 6 18 19 13], ⟨0 6 1 -10 -9 -2]]
Optimal tunings:
- WE: ~44/35 = 400.3228 ¢, ~5/4 = 383.7260 ¢
- CWE: ~44/35 = 400.0000 ¢, ~5/4 = 383.4063 ¢
Optimal ET sequence: 3, 69, 72
Badness (Sintel): 1.60