1400edo: Difference between revisions

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Theory: Explain why this random val is relevant for oquatonic, as it is a member of the optimal GPV sequence hence close to POTE
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1400edo is consistent in the 5-limit, and aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. It provides the optimal patent val for the 5-limit [[vishnuzma|vishnuzmic]] temperament. It also tempers out the [[linus comma]] and the [[barium comma]].
1400edo is consistent in the 5-limit, and aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. It provides the optimal patent val for the 5-limit [[vishnuzma|vishnuzmic]] temperament. It also tempers out the [[linus comma]] and the [[barium comma]].


Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down.
Aside from the patent val, there is a number of mappings to be considered. 1400cd val uses the 28edo mapping for 5 and gives a tuning close to the [[POTE]] tuning for the 11-limit [[oquatonic]] temperament. 1400ccdd val is a tuning for the 11-limit [[silicon]] temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching [[3/2]] in 1 generator up and [[11/8]] in 3 generators down. 1400bbbc val is a tuning for the [[manganese]] temperament.
=== Prime harmonics ===
=== Prime harmonics ===
{{harmonics in equal|1400}}
{{harmonics in equal|1400}}