Irrational-subgroup temperaments: Difference between revisions
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Created page with "This page is a list of temperaments which have an irrational subgroup that cannot be expressed in surds. ==Polyraider== Subgroup: 2.3.5.11.f2.f3 where ''f2, f3'' are the second and third modes of an ideal unsupported bar. Comma list: 1771561/1771470, 1310730070806386550964611/1310720000000000000000000, [-8 6 -3 2 -1 0>, [-11 10 -7 4 0 -1> {{Mapping|legend=1|1 65 172 148 162 27 | 0 −111 −297 −253 −281 −43}} : mapping generators: ~2, ~10460353203/..." |
m FloraC moved page Irrational subgroup temperaments to Irrational-subgroup temperaments: Hyphenation |
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==Polyraider== | ==Polyraider== | ||
The temperament below can also be written with [[34ed30]] nominals and cent-deviation (1\1171) accidentals. | |||
[[Subgroup]]: 2.3.5.11.f2.f3 where ''f2, f3'' are the second and third modes of an ideal unsupported bar. | [[Subgroup]]: 2.3.5.11.f2.f3 where ''f2, f3'' are the second and third modes of an ideal unsupported bar. | ||
Latest revision as of 12:47, 30 September 2026
This page is a list of temperaments which have an irrational subgroup that cannot be expressed in surds.
Polyraider
The temperament below can also be written with 34ed30 nominals and cent-deviation (1\1171) accidentals.
Subgroup: 2.3.5.11.f2.f3 where f2, f3 are the second and third modes of an ideal unsupported bar.
Comma list: 1771561/1771470, 1310730070806386550964611/1310720000000000000000000, [-8 6 -3 2 -1 0>, [-11 10 -7 4 0 -1>
Mapping: [⟨1 65 172 148 162 27], ⟨0 −111 −297 −253 −281 −43]]
- mapping generators: ~2, ~10460353203/7040000000
- WE: ~2 = 1199.999 ¢, ~10460353203/7040000000 = 685.567 ¢
- error map: ⟨-0.001 -0.001 -0.002 -0.017 -0.024 0.122]
- CWE: ~2 = 1200.000 ¢, ~10460353203/7040000000 = 685.568 ¢
- error map: ⟨0.000 0.000 -0.001 -0.014 -0.023 0.125]
Optimal ET sequence: 7, 1164, 1171, 1178, 1185, 2335, 2349, 3506, 3520, 3527, 4691
Badness (Sintel): 0.655