2019edo: Difference between revisions

+subsets and supersets
ArrowHead294 (talk | contribs)
mNo edit summary
 
(5 intermediate revisions by 2 users not shown)
Line 1: Line 1:
{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|2019}}
{{ED intro}}


== Theory ==
== Theory ==
Line 11: Line 11:


=== Subsets and supersets ===
=== Subsets and supersets ===
Since 2019 factors into {{factorization|2019}}, 2019 contains [[3edo]] and 673edo as subsets.  
Since 2019 factors into {{factorization|2019}}, 2019 contains [[3edo]] and 673edo as subsets.
 
[[4038edo]], which doubles it, provides good corrections for a number of higher primes.


== Regular temperament properties ==
== Regular temperament properties ==
=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{| class="wikitable center-all left-5"
! Periods<br>per 8ve
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator
|-
! Periods<br />per 8ve
! Generator*
! Generator*
! Cents*
! Cents*
! Associated<br>Ratio*
! Associated<br />ratio*
! Temperaments
! Temperaments
|-
|-
Line 40: Line 44:
| [[Domain]]
| [[Domain]]
|}
|}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct