26th-octave temperaments: Difference between revisions

Eliora (talk | contribs)
iron
Eliora (talk | contribs)
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''Iron'' is named after the 26th element.
''Iron'' is named after the 26th element.


Subgroup: 2.3.5.7
[[Subgroup]]: 2.3.5.7


Comma list: 2460375/2458624, 2147483648/2144153025
[[Comma list]]: 2460375/2458624, 2147483648/2144153025


Mapping: 26 26 106 73, 0 1 -3 0
[[Mapping]]: [{{val|26 26 106 73}}, {{val|0 1 -3 0}}]


Mapping generators: ~17280/16807 = 1\26, ~3/2 = 702.017
[[Mapping]] [[generators]]: ~17280/16807 = 1\26, ~3/2 = 702.017


Optimal tuning (CTE):  ~3/2 = 702.017
[[Optimal tuning]] ([[CTE]]):  ~3/2 = 702.017


Vals: 130, 364, 494, 624, ...
Vals: {{EDOs|130, 364, 494, 624}}, ...


=== 11-limit ===
=== 11-limit ===
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Comma list: 9801/9800, 131072/130977, 759375/758912
Comma list: 9801/9800, 131072/130977, 759375/758912


Mapping: 26 26 106 73 166, 0 1 -3 0 -5
Mapping: [{{val|26 26 106 73 166}}, {{val|0 1 -3 0 -5}}]


Mapping generators: ~77/75 = 1\26, ~3/2 = 702.017
Mapping generators: ~77/75 = 1\26, ~3/2 = 702.017
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Comma list: 1716/1715, 2080/2079, 4096/4095, 91125/91091
Comma list: 1716/1715, 2080/2079, 4096/4095, 91125/91091


Mapping: 26 26 106 73 166 81, 0 1 -3 0 -5 1
Mapping: [{{val|26 26 106 73 166 81}}], {{val|0 1 -3 0 -5 1}}]


Mapping generators: ~77/75 = 1\26, ~3/2 = 702.018
Mapping generators: ~77/75 = 1\26, ~3/2 = 702.018