123ed48: Difference between revisions

Latest revision as of 04:45, 17 August 2025

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-{{mathematical interest}}
+#REDIRECT [[22edo#Stretched and compressed tunings]]
-{{Infobox ET}}
-{{ED intro}}
-== Theory ==
-The 48th harmonic is too wide to be a useful equivalence, so 123ed48 is better thought of as a compressed version of [[22edo]]. The [[The Riemann zeta function and tuning|local zeta peak]] around 22 is located at 22.025147, which has the octave compressed by 1.37{{c}}; the octave of 123ed48 comes extremely close (differing by only {{sfrac|1|10}}{{c}}), thus minimizing relative error as much as possible.
-=== Harmonics ===
-{{Harmonics in equal|123|48|1|intervals=integer|columns=11}}
-{{Harmonics in equal|123|48|1|intervals=integer|columns=12|start=12|collapsed=true|title=Approximation of harmonics in 123ed48 (continued)}}
-[[Category:22edo]]
 [[Category:zeta-optimized tunings]]