Neutrino: Difference between revisions

Latest revision as of 03:25, 18 March 2025

Todo: WIP

Neutrino is an arithmetic interval chain with a generator near 1/9. When used with a generator of exactly 1/9, it is a superset of 9ado.

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-WIP
+{{todo|WIP|inline=1}}
-'''Neutrino''' is an [[arithmetic temperament]] tempering out the arithmetic comma 1/20, equating [[6/5]] and [[5/4]].  The "optimal" generator for Neutrino is 1/10 + (1/20)/4 = 9/80 although similar sized generators such as 1/9 can also be used. [[9ado]] is an excellent tuning for this temperament.
+'''Neutrino''' is an [[User:CompactStar/Arithmetic interval chain|arithmetic interval chain]] with a generator near 1/9. When used with a generator of exactly 1/9, it is a superset of [[9ado]].
-== Interval chain (89/80 tuning) ==
+== Just/[[ADO]] tunings ==
 {|class="wikitable"
 |-
-!Generators up
+!Just generator
-!Interval
-!Cents
 !Decimal
 |-
-|0
+|1/9
-|[[1/1]]
+|0.1111
-|0.0
+|-
-|1.0000
+|2/17
+|0.1176
+|-
+|2/19
+|0.1053
+|-
+|3/26
+|0.1153
+|-
+|3/28
+|0.1071
+|-
+|4/35
+|0.1143
+|-
+|4/37
+|0.1081
+|-
+|5/43
+|0.1162
+|-
+|5/44
+|0.1136
+|-
+|5/46
+|0.1087
+|-
+|5/47
+|0.1064
+|-
+|6/53
+|0.1132
+|-
+|6/55
+|0.1090
+|-
+|7/61
+|0.1148
+|-
+|7/62
+|0.1129
+|-
+|7/63
+|0.1094
+|-
+|7/64
+|0.1093
+|-
+|7/65
+|0.1077
 |-
-|1
+|7/66
-|89/80
+|0.1061
-|184.6
-|1.1125
 |-
-|2
+|9/80
-|[[49/40]]
+|0.1125
-|351.3
-|1.2250
 |}
-[[Category:Temperaments]]
+[[Category:Arithmetic interval chains]]
-[[Category:Arithmetic temperaments]]