44th-octave temperaments: Difference between revisions
setting up new pages for my improvement of fractional-octave temperaments I'm about to do |
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One step of 44edo is extremely close to the septimal comma, [[64/63]]. The relationship is preserved even up tens thousands of edos. | One step of 44edo is extremely close to the septimal comma, [[64/63]]. The relationship is preserved even up tens thousands of edos. | ||
===Ruthenium | == Septiruthenian == | ||
Ruthenium is named after the 44th element, and can be expressed as the 1848 & 2684 temperament. | {{Main|Septiruthenia}} | ||
[[Subgroup]]: 2.3.5.7 | |||
[[Comma list]]: {{monzo| -263 88 0 44 }} | |||
[[Mapping]]: [{{val| 44 0 0 263 }}, {{val| 0 1 0 -2 }}, {{val| 0 0 1 0 }}] | |||
Mapping generators: ~64/63, ~3, ~5 | |||
{{Optimal ET sequence|legend=1| 176, 308, 352, 484, 528, 836, 1848, 2684, 4532, 7744, 8580, 9592, 10428, 12276, 14960, 27236, 42196, 99352 }}, … | |||
[[Badness]]: 116 × 10<sup>-3</sup> | |||
== Ruthenium == | |||
Ruthenium is named after the 44th element, prescribes the additional mapping for 5, and can be expressed as the 1848 & 2684 temperament. | |||
[[Subgroup]]: 2.3.5.7 | [[Subgroup]]: 2.3.5.7 | ||
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Badness: 0.0396 | Badness: 0.0396 | ||
[[Category:44edo]] | |||
[[Category:Temperament collections]] | |||