1395edo: Difference between revisions

Line 1:

== Theory ==

1395edo is a strong higher-limit system, being a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak, peak integer, integral and gap edo]]. The patent val is the first one after 311 with a lower 37-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]], though it is only consistent through the 21-odd-limit, due to 23 being all of 0.3 cents flat. A [[comma basis]] for the 19-limit is {2058/2057, [[2401/2400]], 4914/4913, 5929/5928, 10985/10982, 12636/12635, 14875/14872}.

1395edo is a strong higher-limit system, being a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak, peak integer, integral and gap edo]]. The [[patent val]] is the first one after 311 with a lower 37-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]], though it is only [[consistent]] through the 21-odd-limit, due to 23 being all of 0.3 cents flat. A [[comma basis]] for the 19-limit is {2058/2057, [[2401/2400]], 4914/4913, 5929/5928, 10985/10982, 12636/12635, 14875/14872}.

=== Prime harmonics ===

~~[[Category:Equal divisions of the octave|####]]~~ <~~!-- 4-digit number --~~>

=== Subsets and supersets ===

~~[[Category:Zeta]]~~

Since 1395 factors into 3<sup>2</sup> × 5 × 31, 1395edo has subset edos 3, 5, 9, 15, 31, 45, 93, 155, 279, and 465.

@@ Line 1: / Line 1: @@
 {{Infobox ET}}
 {{EDO intro|1395}}
 == Theory ==
-edo is a strong higher-limit system, being a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak, peak integer, integral and gap edo]]. The patent val is the first one after 311 with a lower 37-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]], though it is only consistent through the 21-odd-limit, due to 23 being all of 0.3 cents flat. A [[comma basis]] for the 19-limit is {2058/2057, [[2401/2400]], 4914/4913, 5929/5928, 10985/10982, 12636/12635, 14875/14872}.
+edo is a strong higher-limit system, being a [[The Riemann zeta function and tuning #Zeta EDO lists|zeta peak, peak integer, integral and gap edo]]. The [[patent val]] is the first one after 311 with a lower 37-limit [[Tenney-Euclidean temperament measures #TE simple badness|relative error]], though it is only [[consistent]] through the 21-odd-limit, due to 23 being all of 0.3 cents flat. A [[comma basis]] for the 19-limit is {2058/2057, [[2401/2400]], 4914/4913, 5929/5928, 10985/10982, 12636/12635, 14875/14872}.
 === Prime harmonics ===
 {{Harmonics in equal|1395|columns=15}}
-[[Category:Equal divisions of the octave|####]] <!-- 4-digit number -->
+=== Subsets and supersets ===
-[[Category:Zeta]]
+Since 1395 factors into 3<sup>2</sup> × 5 × 31, 1395edo has subset edos 3, 5, 9, 15, 31, 45, 93, 155, 279, and 465.