82edo: Difference between revisions

Note the alt val. Rework on the interval table
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m Theory: value of the d val
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== Theory ==
== Theory ==
82edo's [[patent val]] is [[contorted]] in the [[11-limit]], from 82 = 2 × 41. In the [[13-limit]] the patent val tempers out [[169/168]] and [[676/675]], and in the [[17-limit]] tempers out [[273/272]]. It provides the optimal patent val for [[soothsaying]] temperament and [[support]]s [[baladic]] temperament. The alternative 82e val tempers out [[121/120]] instead.  
82edo's [[patent val]] is [[contorted]] in the [[11-limit]], from 82 = 2 × 41. In the [[13-limit]] the patent val tempers out [[169/168]] and [[676/675]], and in the [[17-limit]] tempers out [[273/272]]. It provides the optimal patent val for [[soothsaying]] temperament and [[support]]s [[baladic]] temperament. The 82d val tempers out [[50/49]] and is an excellent tuning for [[astrology]] & [[byhearted]], surpassing their optimal patent vals. The alternative 82e val tempers out [[121/120]] instead.  


=== Prime harmonics ===
=== Prime harmonics ===
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82edo contains [[2edo]] and [[41edo]] as subsets. [[164edo]], which doubles it, is a notable tuning.  
82edo contains [[2edo]] and [[41edo]] as subsets. [[164edo]], which doubles it, is a notable tuning.  


A step of 82edo is exactly 30 [[mina]]s.  
A step of 82edo is exactly 30 [[mina]]s.


== Intervals ==
== Intervals ==