Diminished family: Difference between revisions

m Text replacement - "{{Mapping|legend=2| " to "{{Mapping|legend=3| "
→Septimal diminished: 11-limit diminished -> diminutive
 
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{{Main| Diminished (temperament) }}
{{Main| Diminished (temperament) }}


Septimal diminished equates the 300{{c}} minor third to [[7/6]] along with 6/5, and the 600{{c}} tritone to [[7/5]][[~]][[10/7]].
Septimal diminished identifies the 1/4-octave period as [[~]][[7/6]] along with ~6/5, and the [[tritone]] as [[7/5]][[~]][[10/7]].  


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7
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[[Badness]] (Sintel): 0.567
[[Badness]] (Sintel): 0.567


=== 11-limit ===
=== Diminutive ===
Diminutive maps [[11/8]]~[[16/11]] to the tritone, and it admits a 13-limit extension which maps [[13/8]] to 3\4. It used to be considered the canonical 11-limit diminished, decanonized in 2026 mainly for the lack of continuation in the tuning and also lack of accuracy.
 
Subgroup: 2.3.5.7.11
Subgroup: 2.3.5.7.11