Rastmic rank three clan: Difference between revisions
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m fix heading structure |
+mirwomo moved from mirwomo family |
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Temperaments not listed include: | Temperaments not listed include: | ||
* [[Breed family # | * [[Jove]], {243/242, 441/440} → [[Breed family #Jove]] | ||
* [[Marvel family # | * [[Spectacle]], {225/224, 243/242} → [[Marvel family #Spectacle]] | ||
* [[Marvel family # | * [[Mirage]], {225/224, 243/242, 385/384} → [[Marvel family #Mirage]] | ||
* [[ | * [[Mandos]], {176/175, 243/242} → [[Valinorismic temperaments #Mandos]] | ||
* [[Hagrid]], {243/242, 9801/9800} → [[Cataharry family #Hagrid]] | |||
* [[Cataharry family #Hagrid| | |||
== Mirwomo == | |||
=== 7-limit === | |||
Subgroup: 2.3.5.7 | |||
[[Comma list]]: 33075/32768 | |||
[[Mapping]]: [{{val| 1 1 0 6 }}, {{val| 0 2 0 -3 }}, {{val| 0 0 1 -1 }}] | |||
{{Val list|legend=1| 17, 21, 24, 31, 41, 72, 281d }} | |||
=== 11-limit === | |||
Subgroup: 2.3.5.7.11 | |||
[[Comma list]]: 243/242, 385/384 | |||
[[Mapping]]: [{{val| 1 1 0 6 2 }}, {{val| 0 2 0 -3 5 }}, {{val| 0 0 1 -1 0 }}] | |||
{{Val list|legend=1| 17, 24, 31, 41, 72, 312bd, 384bcd, 456bcde, 528bcde, 631bcde }} | |||
== Parahemif == | == Parahemif == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 22: | Line 39: | ||
=== 13-limit === | === 13-limit === | ||
Subgroup: 2.3.5.7.11.13 | Subgroup: 2.3.5.7.11.13 | ||
| Line 29: | Line 45: | ||
Mapping: [{{val| 1 1 0 -1 2 4 }}, {{val| 0 2 0 13 5 -1 }}, {{val| 0 0 1 0 0 0 }}] | Mapping: [{{val| 1 1 0 -1 2 4 }}, {{val| 0 2 0 13 5 -1 }}, {{val| 0 0 1 0 0 0 }}] | ||
{{Val list | Vals: {{Val list| 17, 24, 34d, 41, 58, 99ef, 157ef }} | ||
Badness: 1.19366 × 10<sup>-3</sup> | Badness: 1.19366 × 10<sup>-3</sup> | ||
| Line 35: | Line 51: | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Temperament collection]] | [[Category:Temperament collection]] | ||
[[Category:Rastmic]] | [[Category:Rastmic temperaments| ]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
Revision as of 09:11, 22 August 2021
This is a miscellaneous collection of rank-3 rastmic temperaments, tempering out the rastma, 243/242. These temperaments divide the fifth in half and use it as an 11/9 neutral third.
Temperaments not listed include:
- Jove, {243/242, 441/440} → Breed family #Jove
- Spectacle, {225/224, 243/242} → Marvel family #Spectacle
- Mirage, {225/224, 243/242, 385/384} → Marvel family #Mirage
- Mandos, {176/175, 243/242} → Valinorismic temperaments #Mandos
- Hagrid, {243/242, 9801/9800} → Cataharry family #Hagrid
Mirwomo
7-limit
Subgroup: 2.3.5.7
Comma list: 33075/32768
Mapping: [⟨1 1 0 6], ⟨0 2 0 -3], ⟨0 0 1 -1]]
11-limit
Subgroup: 2.3.5.7.11
Comma list: 243/242, 385/384
Mapping: [⟨1 1 0 6 2], ⟨0 2 0 -3 5], ⟨0 0 1 -1 0]]
Parahemif
Subgroup: 2.3.5.7.11
Comma list: 243/242, 896/891
Mapping: [⟨1 1 0 -1 2], ⟨0 2 0 13 5], ⟨0 0 1 0 0]]
Badness: 1.34547 × 10-3
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 144/143, 243/242, 364/363
Mapping: [⟨1 1 0 -1 2 4], ⟨0 2 0 13 5 -1], ⟨0 0 1 0 0 0]]
Vals: Template:Val list
Badness: 1.19366 × 10-3