87ed7: Difference between revisions

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'''[[Ed7|Division of the 7th harmonic]] into 87 equal parts''' (87ed7) is related to [[31edo|31 edo]], but with the 7/1 rather than the 2/1 being just. The octave is slightly stretched (about 0.3862 cents) and the step size is about 38.7221 cents.
{{Infobox ET}}
{{ED intro}}


[[Category:Ed7]]
== Theory ==
[[Category:Edonoi]]
87ed7 is related to [[31edo]], but with the 7/1 rather than the [[2/1]] being just. The octave is slightly stretched (about 0.3862{{c}}). Like 31edo, 87ed7 is [[consistent]] through the [[integer limit|12-integer-limit]].
 
=== Harmonics ===
{{Harmonics in equal|87|7|1|intervals=integer|columns=11}}
{{Harmonics in equal|87|7|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 87ed7 (continued)}}
 
=== Subsets and supersets ===
Since 87 factors into primes as {{nowrap| 3 × 29 }}, 87ed7 contains [[3ed7]] and [[29ed7]] as subset ed7's.
 
== Intervals ==
{{Interval table}}
 
== See also ==
* [[18edf]] – relative edf
* [[31edo]] – relative edo
* [[49edt]] – relative edt
* [[72ed5]] – relative ed5
* [[80ed6]] – relative ed6
* [[107ed11]] – relative ed11
* [[111ed12]] – relative ed12
* [[138ed22]] – relative ed22
* [[204ed96]] – close to the zeta-optimized tuning for 31edo
* [[39cET]]
 
[[Category:31edo]]