4ed5: Difference between revisions

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== Theory ==
== Theory ==
By definition, one step of this tuning is equal to [[quarter-comma meantone]], therefore it's just a circle of meantone fifths without octave equivalence if treated as a 3/2.5 temperament. By adding an independent dimension for 2, the tuning of quarter-comma meantone is attained.
4ed5 is equivalent to the [[generator]] chain of [[quarter-comma meantone]], and therefore, treated as a 3/2.5-subgroup temperament, it is just a chain of meantone fifths without octaves. By adding an independent dimension for 2, the tuning of quarter-comma meantone is attained.
{{todo|clarify|inline=1}}
 
=== Harmonics ===
{{Harmonics in equal|4|5|1|intervals=integer|columns=11}}
{{Harmonics in equal|4|5|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 4ed5 (continued)}}


== Interval table ==
== Interval table ==
{{Interval table}}
{{Interval table}}
== Harmonics ==
{{Harmonics in equal
| steps = 4
| num = 5
| denom = 1
}}
{{Harmonics in equal
| steps = 4
| num = 5
| denom = 1
| start = 12
| collapsed = 1
}}