183edo: Difference between revisions

Theory: re-organize and - certain questionable statements that caused community complaints
m Text replacement - "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct" to "Octave-reduced form, reduced to the first half-octave, and minimal form in parentheses if distinct"
 
(2 intermediate revisions by the same user not shown)
Line 14: Line 14:


=== Subsets and supersets ===
=== Subsets and supersets ===
Since 183 factors into primes as{{nowrap| 3 × 61 }}, 183edo contains [[3edo]] and [[61edo]] as its subsets.
Since 183 factors into primes as {{nowrap| 3 × 61 }}, 183edo contains [[3edo]] and [[61edo]] as its subsets.


== Approximation to JI ==
== Approximation to JI ==
=== Zeta peak index ===
=== Interval mappings ===
{{ZPI
{{Q-odd-limit intervals}}
| zpi = 1210
| steps = 182.999728466810
| step size = 6.55738677895164
| tempered height = 11.020824
| pure height = 11.020734
| integral = 1.643410
| gap = 19.731996
| octave = 1200.00178054815
| consistent = 18
| distinct = 18
}}


== Regular temperament properties ==
== Regular temperament properties ==
Line 181: Line 170:
| [[Promethium]]
| [[Promethium]]
|}
|}
<nowiki/>* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct


== Music ==
== Music ==