336edo: Difference between revisions

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336edo has poor approximation for harmonic 3, therefore it naturally yields a 2.9 subgroup interpretation. In the 2.9.5.7 subgroup, it tempers out the [[schisma]] and the [[landscape comma]].

Nonetheless, there are a number of mappings to be considered. Using the 336d val in the 7-limit, 336edo tempers out the [[octagar]] comma, [[4000/3969]], and 336def val tunes the [[slithy]] temperament in the 13-limit. 336cefg val is a tuning for the [[~~catamite~~]] temperament in the 19-limit. 336b val uses the [[12edo]] mapping for 3/2 and tunes the 24th-octave [[rabic]] temperament.

Nonetheless, there are a number of mappings to be considered. Using the 336d val in the 7-limit, 336edo tempers out the [[octagar]] comma, [[4000/3969]], and 336def val tunes the [[slithy]] temperament in the 13-limit. 336cefg val is a tuning for the [[stalagmite]] temperament in the 19-limit. 336b val uses the [[12edo]] mapping for 3/2 and tunes the 24th-octave [[rabic]] temperament.

=== Odd harmonics ===

== Instruments ==

A [[Lumatone mapping for 336edo]] (actually a subset thereof) is available.

== Music ==

; [[Bryan Deister]]

* [https://www.youtube.com/shorts/kPqYmCzZ8uY ''7ed(575 cents) improv''] (2025) (each step of 7ed(575 cents) is effectively 23 steps of 336edo, although 23 octaves are required for an octave repeat)

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 edo has poor approximation for harmonic 3, therefore it naturally yields a 2.9 subgroup interpretation. In the 2.9.5.7 subgroup, it tempers out the [[schisma]] and the [[landscape comma]].
-Nonetheless, there are a number of mappings to be considered. Using the 336d val in the 7-limit, 336edo tempers out the [[octagar]] comma, [[4000/3969]], and 336def val tunes the [[slithy]] temperament in the 13-limit. 336cefg val is a tuning for the [[catamite]] temperament in the 19-limit. 336b val uses the [[12edo]] mapping for 3/2 and tunes the 24th-octave [[rabic]] temperament.
+Nonetheless, there are a number of mappings to be considered. Using the 336d val in the 7-limit, 336edo tempers out the [[octagar]] comma, [[4000/3969]], and 336def val tunes the [[slithy]] temperament in the 13-limit. 336cefg val is a tuning for the [[stalagmite]] temperament in the 19-limit. 336b val uses the [[12edo]] mapping for 3/2 and tunes the 24th-octave [[rabic]] temperament.
 === Odd harmonics ===
 {{Harmonics in equal|336}}
+== Instruments ==
+A [[Lumatone mapping for 336edo]] (actually a subset thereof) is available.
+== Music ==
+; [[Bryan Deister]]
+* [https://www.youtube.com/shorts/kPqYmCzZ8uY ''7ed(575 cents) improv''] (2025) (each step of 7ed(575 cents) is effectively 23 steps of 336edo, although 23 octaves are required for an octave repeat)