1590edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
1590edo is consistent in the [[9-odd-limit]]. Aside from | 1590edo is consistent in the [[9-odd-limit]]. | ||
Aside from this, it is a strong 2.3.5.17.29.31 subgroup tuning. A comma basis for this subgroup is {128061/128000, 1966113/1965200, 11337408/11328125, 12115968/12109375, 81310473/81264640}. It can also be used with the 2.3.5.13/7.17.29.31 fractional subgroup, having a strong approximation of [[13/7]]. There it tempers out 4901/4900. | |||
1590edo is also the last tuning system to have the same mapping for 11 as 159edo, and hence it is the largest multiple of 159 tempering out the [[frameshift comma]] and [[nexus comma]] together. | |||
=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal| | {{Harmonics in equal|1590}} | ||
=== Subsets and supersets === | |||
Since 1590edo factors as {{Factorization|1590}}, it has subset edos {{EDOs|1, 2, 3, 5, 6, 10, 15, 30, 53, 106, 159, 265, 318, 530, 795}}. | |||