80th-octave temperaments: Difference between revisions
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{{Infobox fractional-octave|80}} | |||
This page describes 80th-octave temperaments. 80edo is extremely accurate for the 17th harmonic, a relationship which is so far seen in all documented temperaments on this page. In addition, it is the first equal division to be consistent in the 19-limit. | This page describes 80th-octave temperaments. [[80edo]] is extremely accurate for the [[17/1|17th harmonic]], a relationship which is so far seen in all documented temperaments on this page. In addition, it is the first equal division to be consistent in the [[19-limit]]. | ||
Temperaments discussed elsewhere include | Temperaments discussed elsewhere include | ||
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{{mapping|legend=1| 80 3 161 -23 252 197 | 0 5 1 10 1 4 }} | {{mapping|legend=1| 80 3 161 -23 252 197 | 0 5 1 10 1 4 }} | ||
: mapping generators: ~9295/9216, ~2304/1859 | |||
Optimal tuning (CTE): ~2304/1859 = 371.385 | Optimal tuning (CTE): ~2304/1859 = 371.385 | ||
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{{mapping|legend=1| 80 3 161 -23 252 197 327 | 0 5 1 10 1 4 0 }} | {{mapping|legend=1| 80 3 161 -23 252 197 327 | 0 5 1 10 1 4 0 }} | ||
: mapping generators: ~459/455, ~1859/1500 | |||
Optimal tuning (CTE): ~2275/1836 = 371.386 | Optimal tuning (CTE): ~2275/1836 = 371.386 | ||
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Mapping: [{{val|80 3 161 -23 252 197 327 117}}, {{val|0 5 1 10 1 4 0 9}}] | Mapping: [{{val|80 3 161 -23 252 197 327 117}}, {{val|0 5 1 10 1 4 0 9}}] | ||
: mapping generators: ~459/455, ~2275/1836 | |||
Optimal tuning (CTE): ~2275/1836 = 371.386 | Optimal tuning (CTE): ~2275/1836 = 371.386 | ||
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Optimal tuning (CTE): ~920/741 = 374.387 | Optimal tuning (CTE): ~920/741 = 374.387 | ||
[[Category:80edo] | {{Navbox fractional-octave}} | ||
[[Category:80edo]]] | |||