Parkleiness temperaments: Difference between revisions

Fredg999 category edits (talk | contribs)
m Removing from Category:Temperament using Cat-a-lot
Fredg999 (talk | contribs)
m Didn't notice linus comma has its own page now
 
(5 intermediate revisions by 5 users not shown)
Line 1: Line 1:
'''Parkleiness''' rank-two temperaments temper out the ''parkleiness'' comma, 1959552/1953125 = {{monzo|7 7 -9 1}} (zotritrigu).
{{Technical data page}}
'''Parkleiness''' [[rank two temperaments]] temper out the ''parkleiness'' comma, 1959552/1953125 = {{monzo|7 7 -9 1}} (zotritrigu).


Temperaments dicussed elsewhere include:  
Temperaments dicussed elsewhere include:  
Line 19: Line 20:


[[Mapping]]: [{{val|1 10 5 -32}}, {{val|0 -22 -7 91}}]
[[Mapping]]: [{{val|1 10 5 -32}}, {{val|0 -22 -7 91}}]
{{Multival|legend=1|22 7 -91 -40 -206 -231}}


[[POTE generator]]: ~125/96 = 459.001
[[POTE generator]]: ~125/96 = 459.001


{{Val list|legend=1| 34, 149d, 183, 217, 400 }}
{{Optimal ET sequence|legend=1| 34, 149d, 183, 217, 400 }}


[[Badness]]: 0.188996
[[Badness]]: 0.188996
Line 37: Line 36:
POTE generator: ~125/96 = 459.002
POTE generator: ~125/96 = 459.002


Vals: {{Val list| 34, 149d, 183, 400, 983c, 1383ce, 1783cce }}
{{Optimal ET sequence|legend=1| 34, 149d, 183, 400, 983c, 1383ce, 1783cce }}


Badness: 0.055046
Badness: 0.055046
Line 50: Line 49:
POTE generator: ~125/96 = 459.000
POTE generator: ~125/96 = 459.000


Vals: {{Val list| 34, 149d, 183, 217, 400 }}
{{Optimal ET sequence|legend=1| 34, 149d, 183, 217, 400 }}


Badness: 0.033963
Badness: 0.033963
Line 63: Line 62:
POTE generator: ~125/96 = 459.000
POTE generator: ~125/96 = 459.000


Vals: {{Val list| 34, 149d, 183, 217, 400 }}
{{Optimal ET sequence|legend=1| 34, 149d, 183, 217, 400 }}


Badness: 0.019543
Badness: 0.019543


== Octogintic ==
== Octogintic ==
The ''octogintic'' temperament has a period of 1/80 octave and tempers out the parkleiness comma and the starscape comma (645700815/645657712), as well as [[15/14ths equal temperament|linus comma]], 578509309952/576650390625.
The ''octogintic'' temperament has a period of 1/80 octave and tempers out the parkleiness comma and the starscape comma (645700815/645657712), as well as [[linus comma]], 578509309952/576650390625.


Subgroup: 2.3.5.7
Subgroup: 2.3.5.7
Line 75: Line 74:


[[Mapping]]: [{{val|80 127 186 225}}, {{val|0 -1 -1 -2}}]
[[Mapping]]: [{{val|80 127 186 225}}, {{val|0 -1 -1 -2}}]
{{Multival|legend=1|80 80 160 -59 29 147}}


[[POTE generator]]: ~3/2 = 701.940
[[POTE generator]]: ~3/2 = 701.940


{{Val list|legend=1| 80, 320, 400 }}
{{Optimal ET sequence|legend=1| 80, 320, 400 }}


[[Badness]]: 0.307033
[[Badness]]: 0.307033
Line 93: Line 90:
POTE generator: ~3/2 = 701.982
POTE generator: ~3/2 = 701.982


Vals: {{Val list| 80, 320, 400 }}
{{Optimal ET sequence|legend=1| 80, 320, 400 }}


Badness: 0.067939
Badness: 0.067939
Line 106: Line 103:
POTE generator: ~3/2 = 701.796
POTE generator: ~3/2 = 701.796


Vals: {{Val list| 80, 320, 400, 720, 1120 }}
{{Optimal ET sequence|legend=1| 80, 320, 400, 720, 1120 }}


Badness: 0.046158
Badness: 0.046158
Line 119: Line 116:
POTE generator: ~3/2 = 701.800
POTE generator: ~3/2 = 701.800


Vals: {{Val list| 80, 320, 400, 720, 1120 }}
{{Optimal ET sequence|legend=1| 80, 320, 400, 720, 1120 }}


Badness: 0.029279
Badness: 0.029279
Line 132: Line 129:
POTE generator: ~3/2 = 701.784
POTE generator: ~3/2 = 701.784


Vals: {{Val list| 80, 320, 400, 720h, 1120h }}
{{Optimal ET sequence|legend=1| 80, 320, 400, 720h, 1120h }}


Badness: 0.021470
Badness: 0.021470


[[Category:Temperament collections]]
[[Category:Temperament collections]]
[[Category:Pages with mostly numerical content]]
[[Category:Rank 2]]
[[Category:Rank 2]]