68ed12: Difference between revisions

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'''[[Ed12|Division of the twelfth harmonic]] into 68 equal parts''' (68ED12) is very nearly identical to [[19edo|19 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 2.02 [[cent]]s stretched and the step size is about 63.264 cents.

==~~Harmonics~~==

== Theory ==

~~{{Harmonics in equal|68|~~12|1~~|prec=~~2|~~columns=15}}~~

68ed12 is very nearly identical to [[19edo]], but with the 12/1 rather than the [[2/1]] being just. This results in octaves being stretched by about 2.02 [[cent]]s. Like 19edo, 68ed12 is [[consistent]] to the [[integer limit|10-integer-limit]].

[[~~Category:Edonoi~~]]

=== Harmonics ===

{{Harmonics in equal|68|12|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 68ed12 (continued)}}

=== Subsets and supersets ===

Since 68 factors into primes as {{nowrap| 2<sup>2</sup> × 17 }}, 68ed12 has subset ed12's {{EDs|equave=12| 2, 4, 17, and 34 }}.

== Intervals ==

== See also ==

* [[11edf]] – relative edf

* [[19edo]] – relative edo

* [[30edt]] – relative edt

* [[49ed6]] – relative ed6

* [[53ed7]] – relative ed7

* [[93ed30]] – relative ed30

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 {{Infobox ET}}
-'''[[Ed12|Division of the twelfth harmonic]] into 68 equal parts''' (68ED12) is very nearly identical to [[19edo|19 EDO]], but with the [[12/1]] rather than the 2/1 being just. The octave is about 2.02 [[cent]]s stretched and the step size is about 63.264 cents.
+{{ED intro}}
-==Harmonics==
+== Theory ==
-{{Harmonics in equal|68|12|1|prec=2|columns=15}}
+ed12 is very nearly identical to [[19edo]], but with the 12/1 rather than the [[2/1]] being just. This results in octaves being stretched by about 2.02 [[cent]]s. Like 19edo, 68ed12 is [[consistent]] to the [[integer limit|10-integer-limit]].
-[[Category:Edonoi]]
+=== Harmonics ===
+{{Harmonics in equal|68|12|1|intervals=integer|columns=11}}
+{{Harmonics in equal|68|12|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 68ed12 (continued)}}
+=== Subsets and supersets ===
+Since 68 factors into primes as {{nowrap| 2<sup>2</sup> × 17 }}, 68ed12 has subset ed12's {{EDs|equave=12| 2, 4, 17, and 34 }}.
+== Intervals ==
+{{Interval table}}
+== See also ==
+* [[11edf]] – relative edf
+* [[19edo]] – relative edo
+* [[30edt]] – relative edt
+* [[49ed6]] – relative ed6
+* [[53ed7]] – relative ed7
+* [[93ed30]] – relative ed30