20th-octave temperaments: Difference between revisions
creating page, not finished yet |
okay I'll fill in the lower limit versions of calcium later once I have time since I have school, the remarkable fact is how high it goes |
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Comma list: 9801/9800, 65625/65536, 422576/421875 | Comma list: 9801/9800, 65625/65536, 422576/421875 | ||
Mapping: 20 0 57 35 122, 0 3 -1 2 5 | Mapping: {{val|20 0 57 35 122}}, {{val|0 3 -1 2 5}} | ||
Mapping generators: ~512/495, ~231/160 | Mapping generators: ~512/495, ~231/160 | ||
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Comma list: 1001/1000, 4225/4224, 4459/4455, 86625/86528 | Comma list: 1001/1000, 4225/4224, 4459/4455, 86625/86528 | ||
Mapping: 20 0 57 35 122 74, 0 3 -1 2 5 0 | Mapping: {{val|20 0 57 35 122 74}}, {{val|0 3 -1 2 5 0}} | ||
Mapping generators: ~3900/3773, ~75/52 | Mapping generators: ~3900/3773, ~75/52 | ||
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Comma list: 833/832, 1001/1000, 1225/1224, 4225/4224, 4459/4455 | Comma list: 833/832, 1001/1000, 1225/1224, 4225/4224, 4459/4455 | ||
Mapping: 20 0 57 35 122 74 124, 0 3 -1 2 5 0 -4 | Mapping: {{val|20 0 57 35 122 74 124}}, {{val|0 3 -1 2 5 0 -4}} | ||
Mapping generators: ~88/85, ~238/165 | Mapping generators: ~88/85, ~238/165 | ||
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Comma list: 833/832, 1001/1000, 1225/1224, 1729/1728, 2926/2925, 4459/4455 | Comma list: 833/832, 1001/1000, 1225/1224, 1729/1728, 2926/2925, 4459/4455 | ||
Mapping: 20 0 57 35 122 74 124 11, 0 3 -1 2 5 0 -4 7 | Mapping: [{{val|20 0 57 35 122 74 124 11}}, {{val|0 3 -1 2 5 0 -4 7}}] | ||
Mapping generators: ~88/85, ~238/165 | Mapping generators: ~88/85, ~238/165 | ||
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Optimal tuning (CTE): ~238/165 = 633.913 | Optimal tuning (CTE): ~238/165 = 633.913 | ||
Vals: 140, 320, 460 | Vals: {{EDOs|140, 320, 460}} | ||
==Calcium== | ==Calcium== | ||
A highly precise and high-limit 2000 & 2460 temperament, named after the 20th element following the convention of naming some fractional-octave temperaments after chemical elements. | A highly precise and high-limit 2000 & 2460 temperament, named after the 20th element following the convention of naming some fractional-octave temperaments after chemical elements. | ||
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Comma list: 9801/9800, 10626/10625, 12376/12375, 21505/21504, 21736/21735, 89376/89375, 123201/123200 | Comma list: 9801/9800, 10626/10625, 12376/12375, 21505/21504, 21736/21735, 89376/89375, 123201/123200 | ||
Mapping: [{{val|20 3 12 -73 -37 8 10 62 145}}, {{val|0 10 12 45 37 23 25 8 -19}}] | |||
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Mapping generators: ~88/85, ~11875/10752 | Mapping generators: ~88/85, ~11875/10752 | ||
Optimal tuning (CTE): ~11875/10752 = 172.196 | Optimal tuning (CTE): ~11875/10752 = 172.196 | ||
Vals: 460, 2000, 2460 | Vals: {{EDOs|460, 2000, 2460}} | ||
[[Category:20edo]] | |||
[[Category:Temperament collections]] | |||