27208edt: Difference between revisions

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~~'''27208edt''' is a tuning system which divides the '''tritave''', [[3/1]], into 27208 equal parts of approximately 0.0699[[¢]] each.~~

27208edt provides an '''extremely good approximation''' to the [[No-twos subgroup temperaments|no-twos]] [[7-limit]], with the 5th harmonic tuned 0.045% sharp (approximately 1/2231 of a step), and the 7th harmonic tuned 0.0073% sharp (approximately 1/13733 of a step).

27208edt provides an ''extremely good approximation'' to the [[No-twos subgroup temperaments|no-twos]] [[7-limit]], with the [[5/1|5th harmonic]] tuned 0.045% sharp (approximately 1/2231 of a step), and the [[7/1|7th harmonic]] tuned 0.0073% sharp (approximately 1/13733 of a step). Despite the very good tuning of prime harmonics 3, 5 and 7, 27208edt misses the octave, [[2/1]], by approximately a third of a step, making it incomparable with its related [[edo]]s, [[17166edo]] and [[17167edo]].

Despite the very good tuning of prime harmonics 3, 5 and 7, 27208edt misses the ~~ditave~~, [[2/1]], by approximately a third of a step, making it incomparable with its related [[edo]]s, [[17166edo]] and [[17167edo]].

Nevertheless, 27208edt also has good approximations to the 13th and 23rd harmonics, making it an excellent tuning in the 3.5.7.13.23 subgroup.

== Prime harmonics ==

=== Prime harmonics ===

~~[[Category:Edt]]~~

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-'''27208edt''' is a tuning system which divides the '''tritave''', [[3/1]], into 27208 equal parts of approximately 0.0699[[¢]] each.
+{{Infobox ET}}
+{{ED intro}}
-edt provides an '''extremely good approximation''' to the [[No-twos subgroup temperaments|no-twos]] [[7-limit]], with the 5th harmonic tuned 0.045% sharp (approximately 1/2231 of a step), and the 7th harmonic tuned 0.0073% sharp (approximately 1/13733 of a step).
+edt provides an ''extremely good approximation'' to the [[No-twos subgroup temperaments|no-twos]] [[7-limit]], with the [[5/1|5th harmonic]] tuned 0.045% sharp (approximately 1/2231 of a step), and the [[7/1|7th harmonic]] tuned 0.0073% sharp (approximately 1/13733 of a step). Despite the very good tuning of prime harmonics 3, 5 and 7, 27208edt misses the octave, [[2/1]], by approximately a third of a step, making it incomparable with its related [[edo]]s, [[17166edo]] and [[17167edo]].
-Despite the very good tuning of prime harmonics 3, 5 and 7, 27208edt misses the ditave, [[2/1]], by approximately a third of a step, making it incomparable with its related [[edo]]s, [[17166edo]] and [[17167edo]].
 Nevertheless, 27208edt also has good approximations to the 13th and 23rd harmonics, making it an excellent tuning in the 3.5.7.13.23 subgroup.
-== Prime harmonics ==
+=== Prime harmonics ===
 {{Harmonics in equal|27208|3|1|intervals=prime}}
-[[Category:Edt]]