58edf: Difference between revisions
-unuseful table. The interval table of 99edo already covers both sharp and flat mappings |
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== Theory == | == Theory == | ||
58edf corresponds to 99.1517…edo. It is related to [[99edo]], but with the 3/2 rather than the [[2/1]] being just. The octave is about 1. | 58edf corresponds to 99.1517…edo. It is related to [[99edo]], but with the [[3/2|perfect fifth]] rather than the [[2/1|octave]] being just. The octave is [[stretched and compressed tuning|compressed]] by about 1.84 cents. 58edf is [[consistent]] to the [[integer limit|12-integer-limit]]. In comparison, 99edo is only consistent up to the 10-integer-limit. 58edf has a flat tendency, with [[prime harmonic]]s 2, [[3/1|3]], [[5/1|5]], [[7/1|7]], and [[11/1|11]] all tuned flat of just. | ||
=== Harmonics === | === Harmonics === | ||
{{Harmonics in equal|58|3|2}} | {{Harmonics in equal|58|3|2|intervals=integer|columns=11}} | ||
{{Harmonics in equal|58|3|2|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 58edf (continued)}} | {{Harmonics in equal|58|3|2|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 58edf (continued)}} | ||
=== Subsets and supersets === | === Subsets and supersets === | ||
Since 58 factors into primes as {{nowrap| 2 × 29 }}, 58edf contains [[2edf]] and [[29edf]] as | Since 58 factors into primes as {{nowrap| 2 × 29 }}, 58edf contains [[2edf]] and [[29edf]] as subset edts. | ||
== See also == | == See also == | ||
* [[99edo]] – relative edo | * [[99edo]] – relative edo | ||
* [[157edt]] – relative edt | * [[157edt]] – relative edt | ||
* [[256ed6]] – relative ed6 | |||