82edo: Difference between revisions

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 {{Infobox ET}}
-{{EDO intro|82}}
+{{ED intro}}
 == Theory ==
-edo'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.
+edo's [[patent val]] is [[contorted]] in the [[11-limit]], since {{nowrap|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]] and [[byhearted]], surpassing their optimal patent vals. The alternative 82e val tempers out [[121/120]] instead.
 === Prime harmonics ===
@@ Line 290: / Line 290: @@
 {{Sharpness-sharp8}}
-== Approximation to JI ==
+== Instruments ==
-=== Zeta peak index ===
+* [[Lumatone mapping for 82edo]]
-{| class="wikitable center-all"
-|-
+== Music ==
-! colspan="3" | Tuning
+; [[Bryan Deister]]
-! colspan="3" | Strength
+* [https://www.youtube.com/shorts/p9xUY8EU7Zg ''microtonal improvisation in 82edo''] (2025)
-! colspan="2" | Closest edo
-! colspan="2" | Integer limit
-|-
-! ZPI
-! Steps per octave
-! Step size (cents)
-! Height
-! Integral
-! Gap
-! Edo
-! Octave (cents)
-! Consistent
-! Distinct
-|-
-| [[448zpi]]
-| 81.9541455954050
-| 14.6423343356444
-| 6.653983
-| 0.941321
-| 14.718732
-| 82edo
-| 1200.67141552284
-| 8
-| 8
-|}