1590edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|1590}}
{{ED intro}}


1590edo is consistent in the [[9-odd-limit]].
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.
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 ===