155ed6: Difference between revisions

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~~'''[[Ed6|Division of the sixth harmonic]] into 155 equal parts''' (95EDT) is related to [[60edo|60 edo]] (tenth-tone tuning), but with the 6/1 rather than the 2/1 being just. The octave is about 0.8~~{{c}} ~~stretched and the step size is about 20.0126 cents.~~

~~Lookalikes:~~ [[60edo]], [[~~139ed5~~]], [[~~95edt~~]], [[~~35edf~~]]

== Theory ==

155ed6 is related to [[60edo]] (tenth-tone tuning), but with the 6th harmonic rather than the [[2/1|octave]] being just. This stretches the octave by about 0.757{{c}}. Like 60edo, 155ed6 is [[consistent]] to the [[integer limit|10-integer-limit]]. While 155ed6 tunes [[prime harmonic|prime]] 2 and [[13/1|13]] sharp, the [[5/1|5]], [[7/1|7]], and [[17/1|17]] remain flat but less so, which may be seen as an improvement in intonation over 60edo.

== Harmonics ==

=== Harmonics ===

{{Harmonics in equal

| ~~steps=~~155

{{Harmonics in equal|155|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 155ed6 (continued)}}

| ~~num=~~6

| ~~denom~~=1

| columns=15

}}

[[~~Category:Edonoi~~]]

=== Subsets and supersets ===

Since 155 factors into primes as {{nowrap| 5 × 31 }}, 155ed6 has subset ed6's [[5ed6]] and [[31ed6]].

== Intervals ==

== See also ==

* [[35edf]] – relative edf

* [[60edo]] – relative edo

* [[95edt]] – relative edt

* [[139ed5]] – relative ed5

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
-'''[[Ed6|Division of the sixth harmonic]] into 155 equal parts''' (95EDT) is related to [[60edo|60 edo]] (tenth-tone tuning), but with the 6/1 rather than the 2/1 being just. The octave is about 0.8{{c}} stretched and the step size is about 20.0126 cents.
+{{ED intro}}
-Lookalikes: [[60edo]], [[139ed5]], [[95edt]], [[35edf]]
+== Theory ==
+ed6 is related to [[60edo]] (tenth-tone tuning), but with the 6th harmonic rather than the [[2/1|octave]] being just. This stretches the octave by about 0.757{{c}}. Like 60edo, 155ed6 is [[consistent]] to the [[integer limit|10-integer-limit]]. While 155ed6 tunes [[prime harmonic|prime]] 2 and [[13/1|13]] sharp, the [[5/1|5]], [[7/1|7]], and [[17/1|17]] remain flat but less so, which may be seen as an improvement in intonation over 60edo.
-== Harmonics ==
+=== Harmonics ===
-{{Harmonics in equal
+{{Harmonics in equal|155|6|1|intervals=integer|columns=11}}
-| steps=155
+{{Harmonics in equal|155|6|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 155ed6 (continued)}}
-| num=6
-| denom=1
-| columns=15
-}}
-[[Category:Edonoi]]
+=== Subsets and supersets ===
+Since 155 factors into primes as {{nowrap| 5 × 31 }}, 155ed6 has subset ed6's [[5ed6]] and [[31ed6]].
+== Intervals ==
+{{Interval table}}
+== See also ==
+* [[35edf]] – relative edf
+* [[60edo]] – relative edo
+* [[95edt]] – relative edt
+* [[139ed5]] – relative ed5