Diminished family: Difference between revisions
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→Septimal diminished: 11-limit diminished -> diminutive |
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{{Main| Diminished (temperament) }} | {{Main| Diminished (temperament) }} | ||
Septimal diminished | 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 | ||