111edo: Difference between revisions

Theory: 23-limit notability
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"
 
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<nowiki/>* As a 23-limit temperament
<nowiki/>* As a 23-limit temperament, inconsistently mapped intervals in ''italic''


== Approximation to JI ==
== Approximation to JI ==
=== Interval mappings ===
=== Interval mappings ===
{{Q-odd-limit intervals}}
{{Q-odd-limit intervals}}
=== Zeta peak index ===
{{ZPI
| zpi = 655
| steps = 111.059577998833
| step size = 10.8050113427643
| tempered height = 9.038544
| pure height = 6.131468
| integral = 1.394739
| gap = 18.041165
| octave = 1199.35625904684
| consistent = 22
| distinct = 16
}}


== Regular temperament properties ==
== Regular temperament properties ==
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| 4/3<br>(18/17~19/18)
| 4/3<br>(18/17~19/18)
| [[Misty]]
| [[Misty]]
|-
| 37
| 46\111<br>(1\111)
| 497.30<br>(10.81)
| 4/3<br>(169/168)
| [[Rubidium]]
|}
|}
<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


== Scales ==
== Scales ==
* Direct sunlight (subset of [[Sensi]][19]): 5 7 34 19 5 36 5 ((5, 12, 46, 65, 70, 106, 111)\111)
* Direct sunlight (subset of [[Sensi]][19]): 5 7 34 19 5 36 5 ((5, 12, 46, 65, 70, 106, 111)\111)
* Hypersakura (subset of Sensi[19]): 5 41 19 5 41 ((5, 46, 65, 70, 111)\111)
* Hypersakura (subset of Sensi[19]): 5 41 19 5 41 ((5, 46, 65, 70, 111)\111)
== Instruments ==
* [[Lumatone mapping for 111edo]]


== Music ==
== Music ==