87ed7: Difference between revisions
Cleanup (2/2, replacing the incomplete interval table with the machine-generated one) |
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== Theory == | == Theory == | ||
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 | 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 === | ||
{{Harmonics in equal|87|7|1|intervals=integer|columns= | {{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)}} | {{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 == | == Intervals == | ||
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* [[72ed5]] – relative ed5 | * [[72ed5]] – relative ed5 | ||
* [[80ed6]] – relative ed6 | * [[80ed6]] – relative ed6 | ||
* [[107ed11]] – relative ed11 | |||
* [[111ed12]] – relative ed12 | * [[111ed12]] – relative ed12 | ||
* [[138ed22]] – relative ed22 | |||
* [[204ed96]] – close to the zeta-optimized tuning for 31edo | |||
* [[39cET]] | * [[39cET]] | ||
[[Category:31edo]] | |||