126/125: Difference between revisions

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The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the superparticular [[7-limit]] [[comma]] which is the difference between the [[36/35]] septimal quartertone and the [[50/49]] jubilisma. In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced) ~~exceed~~ the [[7/5]] [[tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6]] septimal minor third. It can be found as the difference between [[25/18]] and [[7/5]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.

The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the superparticular [[7-limit]] [[comma]] which is the difference between the [[36/35]] septimal quartertone and the [[50/49]] jubilisma. In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6]] septimal minor third. It can be found as the difference between [[25/18]] and [[7/5]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.

== Temperaments ==

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 {{Wikipedia|Septimal semicomma}}
-The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the superparticular [[7-limit]] [[comma]] which is the difference between the [[36/35]] septimal quartertone and the [[50/49]] jubilisma. In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced) exceed the [[7/5]] [[tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6]] septimal minor third. It can be found as the difference between [[25/18]] and [[7/5]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.
+The '''starling comma''' or '''septimal semicomma''', 126/125 (about 13.8 cents), is the superparticular [[7-limit]] [[comma]] which is the difference between the [[36/35]] septimal quartertone and the [[50/49]] jubilisma. In terms of just intervals, it is the amount by which [[12/7]] falls short of three [[6/5]] minor thirds. It is also the amount by which two [[5/3]] major sixths (octave-reduced) fall short of the [[7/5]] [[tritone]], and the amount by which three 5/3s (octave-reduced) fall short of the [[7/6]] septimal minor third. It can be found as the difference between [[25/18]] and [[7/5]]. It can also be found when comparing the conventional 5-limit minor third and major tenth to the nearest Bohlen–Pierce intervals.
 == Temperaments ==