Parkleiness temperaments: Difference between revisions

Xenllium (talk | contribs)
mNo edit summary
Xenllium (talk | contribs)
No edit summary
Line 66: Line 66:


Badness: 0.019543
Badness: 0.019543
== 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.
Subgroup: 2.3.5.7
[[Comma list]]: 1959552/1953125, 645700815/645657712
[[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
{{Val list|legend=1| 80, 320, 400 }}
[[Badness]]: 0.307033
=== 11-limit ===
Subgroup: 2.3.5.7.11
Comma list: 9801/9800, 46656/46585, 391314/390625
Mapping: [{{val|80 127 186 225 277}}, {{val|0 -1 -1 -2 -1}}]
POTE generator: ~3/2 = 701.982
Vals: {{Val list| 80, 320, 400 }}
Badness: 0.067939
=== 13-limit ===
Subgroup: 2.3.5.7.11.13
Comma list: 1001/1000, 4225/4224, 4459/4455, 46656/46585
Mapping: [{{val|80 127 186 225 277 296}}, {{val|0 -1 -1 -2 -1 0}}]
POTE generator: ~3/2 = 701.796
Vals: {{Val list| 80, 320, 400, 720, 1120 }}
Badness: 0.046158
=== 17-limit ===
Subgroup: 2.3.5.7.11.13.17
Comma list: 936/935, 1001/1000, 1377/1375, 4225/4224, 4459/4455
Mapping: [{{val|80 127 186 225 277 296 327}}, {{val|0 -1 -1 -2 -1 0 0}}]
POTE generator: ~3/2 = 701.800
Vals: {{Val list| 80, 320, 400, 720, 1120 }}
Badness: 0.029279
=== 19-limit ===
Subgroup: 2.3.5.7.11.13.17.19
Comma list: 936/935, 969/968, 1001/1000, 1377/1375, 1521/1520, 3136/3135
Mapping: [{{val|80 127 186 225 277 296 327 340}}, {{val|0 -1 -1 -2 -1 0 0 -1}}]
POTE generator: ~3/2 = 701.784
Vals: {{Val list| 80, 320, 400, 720h, 1120h }}
Badness: 0.021470


[[Category:Temperament]]
[[Category:Temperament]]
[[Category:Temperament collection]]
[[Category:Temperament collection]]
[[Category:Rank 2]]
[[Category:Rank 2]]