Kalismic temperaments: Difference between revisions
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Temperaments discussed elsewhere are: | Temperaments discussed elsewhere are: | ||
* [[Jubilismic family # | * ''[[jubilee]]'', {50/49, 99/98} → [[Jubilismic family #Jubilee]] | ||
* [[Marvel family # | * ''[[fantastic]]'', {225/224, 4375/4356} → [[Marvel family #Fantastic]] | ||
* [[Sensamagic family # | * ''[[bisector]]'', {121/120, 245/243} → [[Sensamagic family #Bisector]] | ||
* [[ | * ''[[julius]]'' or ''[[varda]]'', {176/175, 896/891} → [[Diaschismic rank three family #Julius aka varda]] | ||
* [[Werckismic temperaments # | * ''[[hagrid]]'', {243/242, 9801/9800} → [[Cataharry family #Hagrid]] | ||
* [[Swetismic temperaments # | * ''[[varuna]]'', {441/440, 8019/8000} → [[Werckismic temperaments #Varuna]] | ||
* [[Dimcomp family # | * ''[[hades]]'', {540/539, 4000/3993} → [[Swetismic temperaments #Hades]] | ||
* [[Breed family # | * ''[[dimcomp]]'', {1375/1372, 6250/6237} → [[Dimcomp family #Undecimal dimcomp]] | ||
* [[Ragismic family # | * ''[[baldur]]'', {2401/2400, 9801/9800} → [[Breed family #Baldur]] | ||
* [[ | * ''[[thor]]'', {3025/3024, 4375/4374} → [[Ragismic family #Thor]] | ||
* ''[[semicanou]]'', {9801/9800, 14641/14580} → [[Canou family #Semicanou]] | |||
== Kalismic == | |||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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{{Val list|legend=1| 8d, 10, 12, 22, 34d, 46, 58, 72, 118, 130, 152, 224, 270, 342, 512, 836, 1084, 1106, 1236, 1506, 1578, 1848, 2684, 4038, 4190, 4532, 11254, 15786e, 21896e }} | {{Val list|legend=1| 8d, 10, 12, 22, 34d, 46, 58, 72, 118, 130, 152, 224, 270, 342, 512, 836, 1084, 1106, 1236, 1506, 1578, 1848, 2684, 4038, 4190, 4532, 11254, 15786e, 21896e }} | ||
= Odin = | == Odin == | ||
{{see also| Landscape family }} | {{see also| Landscape family }} | ||
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[[Badness]]: 0.116 × 10<sup>-3</sup> | [[Badness]]: 0.116 × 10<sup>-3</sup> | ||
= Loki = | == Loki == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
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[[Badness]]: 0.493 × 10<sup>-3</sup> | [[Badness]]: 0.493 × 10<sup>-3</sup> | ||
= Van Gogh = | == Van Gogh == | ||
Subgroup: 2.3.5.7.11 | Subgroup: 2.3.5.7.11 | ||
| Line 72: | Line 69: | ||
[[Category:Regular temperament theory]] | [[Category:Regular temperament theory]] | ||
[[Category:Temperament collection]] | [[Category:Temperament collection]] | ||
[[Category:Kalismic]] | [[Category:Kalismic temperaments| ]] <!-- main article --> | ||
[[Category:Rank 3]] | [[Category:Rank 3]] | ||
Revision as of 10:00, 15 June 2021
These are rank-3 temperaments tempering out 9801/9800, but we can begin by looking at the rank-4 temperament.
Temperaments discussed elsewhere are:
- jubilee, {50/49, 99/98} → Jubilismic family #Jubilee
- fantastic, {225/224, 4375/4356} → Marvel family #Fantastic
- bisector, {121/120, 245/243} → Sensamagic family #Bisector
- julius or varda, {176/175, 896/891} → Diaschismic rank three family #Julius aka varda
- hagrid, {243/242, 9801/9800} → Cataharry family #Hagrid
- varuna, {441/440, 8019/8000} → Werckismic temperaments #Varuna
- hades, {540/539, 4000/3993} → Swetismic temperaments #Hades
- dimcomp, {1375/1372, 6250/6237} → Dimcomp family #Undecimal dimcomp
- baldur, {2401/2400, 9801/9800} → Breed family #Baldur
- thor, {3025/3024, 4375/4374} → Ragismic family #Thor
- semicanou, {9801/9800, 14641/14580} → Canou family #Semicanou
Kalismic
Subgroup: 2.3.5.7.11
Comma list: 9801/9800
Mapping: [⟨2 0 0 0 3], ⟨0 1 0 0 -2], ⟨0 0 1 0 1], ⟨0 0 0 1 1]]
Mapping generators: ~99/70, ~3, ~5, ~7
Odin
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 151263/151250
Mapping: [⟨6 0 0 8 17], ⟨0 1 0 -2 -4], ⟨0 0 1 2 3]]
Mapping generators: ~55/49, ~3, ~5
Badness: 0.116 × 10-3
Loki
Subgroup: 2.3.5.7.11
Comma list: 5632/5625, 9801/9800
Mapping: [⟨2 0 0 -21 -18], ⟨0 1 0 4 2], ⟨0 0 1 3 4]]
Mapping generators: ~99/70, ~3, ~5
Badness: 0.493 × 10-3
Van Gogh
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 199297406/199290375
Mapping: [⟨2, 0, 8, 0, 11], ⟨0, 1, 1, 2, 1], ⟨0, 0, -9, -1, -10]]
Mapping generators: ~99/70, ~3, ~9/7
Badness: 0.297 × 10-3