Kalismic temperaments: Difference between revisions

* ''[[Jubilee]]'', {50/49, 99/98} → [[Jubilismic family #Jubilee|Jubilismic family]]

* ''[[Fantastic]]'', {225/224, 4375/4356} → [[Marvel family #Fantastic|Marvel family]]

* ''[[Bisector]]'', {121/120, 245/243} → [[Sensamagic family #Bisector|Sensamagic family]]

* ''[[Julius]]'' or ''[[varda]]'', {176/175, 896/891} → [[Diaschismic rank three family #Julius aka varda|Diaschismic rank three family]]

* ''[[Hagrid]]'', {243/242, 9801/9800} → [[Cataharry family #Hagrid|Cataharry family]]

* ''[[Uniwiz]]'', {385/384, 9801/9800} → [[Keenanismic temperaments #Uniwiz|Keenanismic temperaments]]

* ''[[Varuna]]'', {441/440, 8019/8000} → [[Werckismic temperaments #Varuna|Werckismic temperaments]]

* ''[[Hades]]'', {540/539, 4000/3993} → [[Swetismic temperaments #Hades|Swetismic temperaments]]

* ''[[Dimcomp]]'', {1375/1372, 6250/6237} → [[Dimcomp family #Undecimal dimcomp|Dimcomp family]]

* ''[[Baldur]]'', {2401/2400, 9801/9800} → [[Breed family #Baldur|Breed family]]

* ''[[Thor]]'', {3025/3024, 4375/4374} → [[Ragismic family #Thor|Ragismic family]]

* ''[[Semiporwell]]'', {6144/6125, 9801/9800} → [[Porwell family #Semiporwell|Porwell family]]

* ''[[Semicanou]]'', {9801/9800, 14641/14580} → [[Canou family #Semicanou|Canou family]]

Considered below are odin, loki, van gogh, rishi, hnoss, and gersemi, but we can begin by looking at the rank-4 temperament.

 

[[Subgroup]]: 2.3.5.7.11

 

[[Comma list]]: 9801/9800

 

[[Mapping]]: [{{val| 2 0 0 0 3 }}, {{val| 0 1 0 0 -2 }}, {{val| 0 0 1 0 1 }}, {{val| 0 0 0 1 1 }}]

 

 

{{see also| Landscape family }}

[[Mapping]]: [{{val| 6 0 0 8 17 }}, {{val| 0 1 0 -2 -4 }}, {{val| 0 0 1 2 3 }}]

Mapping generators: ~55/49, ~3, ~5

[[Mapping]]: [{{val| 2 0 4 -6 1 }}, {{val| 0 1 1 3 2 }}, {{val| 0 0 -6 5 -1 }}]

Mapping generators: ~99/70, ~3, ~81/70

Mapping: [{{val| 2 1 5 -3 3 8 }}, {{val| 0 2 2 6 4 1 }}, {{val| 0 0 -6 5 -1 4 }}]

Mapping generators: ~99/70, ~1458/1001, ~81/70

== Van Gogh ==

[[Mapping]]: [{{val| 2 0 8 0 11 }}, {{val| 0 1 1 2 1 }}, {{val| 0 0 -9 -1 -10 }}]

Mapping generators: ~99/70, ~3, ~9/7

[[Mapping]]: [{{val| 2 0 1 2 6 }}, {{val| 0 1 4 0 2 }}, {{val| 0 0 -5 2 -3 }}]

Mapping generators: ~99/70, ~3, ~144/77

Mapping: [{{val| 2 0 1 2 6 -3 }}, {{val| 0 1 4 0 2 1 }}, {{val| 0 0 -5 2 -3 4 }}]

Mapping: [{{val| 2 0 1 2 6 -3 0 }}, {{val| 0 1 4 0 2 1 6 }}, {{val| 0 0 -5 2 -3 4 -6 }}]

Mapping: [{{val| 2 0 1 2 6 -3 0 13 }}, {{val| 0 1 4 0 2 1 6 2 }}, {{val| 0 0 -5 2 -3 4 -6 -6 }}]

Mapping: [{{val| 2 0 1 2 6 -3 0 13 19 }}, {{val| 0 1 4 0 2 1 6 2 -2 }}, {{val| 0 0 -5 2 -3 4 -6 -6 -2 }}]

The extension to 13-limit with [[4225/4224]] is weak but facilitates the use of 18/7 as the equave. Fokker blocks of 128 notes are available for the latter, corresponding to 94edo. 18/7 is split into 4 parts that become ~19/15 in 19-limit. Also, (18/7)³ ~ 17/1 via the [[5832/5831|chlorisma]]. However, the tones 9/8 and (19/15)/(9/8) = 152/135 have distinct mappings.

Mapping: [{{val| 2 0 1 2 6 9 }}, {{val| 0 1 9 -2 5 -6 }}, {{val| 0 0 -10 4 -6 7 }}]

Mapping generators: ~99/70, ~3, ~154/65

Mapping: [{{val| 2 0 1 2 6 9 0 }}, {{val| 0 1 9 -2 5 -6 12 }}, {{val| 0 0 -10 4 -6 7 -12 }}]

Mapping: [{{val| 2 0 1 2 6 9 0 1 }}, {{val| 0 1 9 -2 5 -6 12 11 }}, {{val| 0 0 -10 4 -6 7 -12 -11 }}]

 

Mapping: [{{val| 2 0 1 2 6 9 0 1 7 }}, {{val| 0 1 9 -2 5 -6 12 11 3 }}, {{val| 0 0 -10 4 -6 7 -12 -11 -3 }}]

[[Mapping]]: [{{val| 2 0 0 -21 -18 }}, {{val| 0 1 0 4 2 }}, {{val| 0 0 1 3 4 }}]

Mapping generators: ~99/70, ~3, ~5

[[Mapping]]: [{{val| 2 0 1 10 14 }}, {{val| 0 1 0 -1 -3 }}, {{val| 0 0 3 -1 2 }}]

Mapping generators: ~99/70, ~3, ~32/21

Mapping: [{{val| 2 0 1 10 14 13 }}, {{val| 0 1 0 -1 -3 -1 }}, {{val| 0 0 3 -1 2 -2 }}]

[[Mapping]]: [{{val| 2 0 3 -10 -4 }}, {{val| 0 1 2 4 4 }}, {{val| 0 0 8 -5 3 }}]

Mapping generators: ~99/70, ~3, ~17364375/14172488

Mapping: [{{val| 2 0 3 -10 -4 2 }}, {{val| 0 1 2 4 4 3 }}, {{val| 0 0 8 -5 3 7 }}]